%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n018.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 17:30:35 EDT 2022
% Result : Theorem 5.38s 5.60s
% Output : CNFRefutation 6.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 71
% Number of leaves : 2125
% Syntax : Number of formulae : 9668 (4115 unt; 6 def)
% Number of atoms : 51607 (50083 equ)
% Maximal formula atoms : 384 ( 5 avg)
% Number of connectives : 63718 (21779 ~;22376 |;19421 &)
% ( 102 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 9 ( 6 usr; 7 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 8 con; 0-2 aty)
% Number of variables : 198 ( 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(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ) ).
fof(ax5,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(ax6,axiom,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ) ).
fof(ax17,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(ax18,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(ax19,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ) ).
fof(ax20,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ) ).
fof(ax22,axiom,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ) ).
fof(ax23,axiom,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ) ).
fof(ax24,axiom,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ) ).
fof(ax25,axiom,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ) ).
fof(ax26,axiom,
( h1(e12) = e20
& h1(e13) = e21
& h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21) ) ).
fof(ax27,axiom,
( h2(e12) = e20
& h2(e13) = e22
& h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22) ) ).
fof(ax28,axiom,
( h3(e12) = e20
& h3(e13) = e23
& h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23) ) ).
fof(ax29,axiom,
( h4(e12) = e21
& h4(e13) = e20
& h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20) ) ).
fof(ax30,axiom,
( h5(e12) = e21
& h5(e13) = e22
& h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22) ) ).
fof(ax31,axiom,
( h6(e12) = e21
& h6(e13) = e23
& h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23) ) ).
fof(ax32,axiom,
( h7(e12) = e22
& h7(e13) = e20
& h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20) ) ).
fof(ax33,axiom,
( h8(e12) = e22
& h8(e13) = e21
& h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21) ) ).
fof(ax34,axiom,
( h9(e12) = e22
& h9(e13) = e23
& h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23) ) ).
fof(ax35,axiom,
( h10(e12) = e23
& h10(e13) = e20
& h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20) ) ).
fof(ax36,axiom,
( h11(e12) = e23
& h11(e13) = e21
& h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21) ) ).
fof(ax37,axiom,
( h12(e12) = e23
& h12(e13) = e22
& h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22) ) ).
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 ) )
| ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
| ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
| ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
| ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
| ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
| ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
| ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
| ( h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& ( h12(e10) = e23
| h12(e11) = e23
| h12(e12) = e23
| h12(e13) = e23 ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 ) ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_1
<=> ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 ) ) ).
fof(definition_2,definition,
( definitionFOFtoCNF_2
<=> ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 ) ) ).
fof(definition_3,definition,
( definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 ) ) ) ).
fof(definition_4,definition,
( definitionFOFtoCNF_4
<=> ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 ) ) ).
fof(definition_5,definition,
( definitionFOFtoCNF_5
<=> ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 ) ) ).
fof(subgoal_0,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& ~ ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) ) )
=> h12(op1(e10,e10)) = op2(h12(e10),h12(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))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
=> h12(op1(e10,e11)) = op2(h12(e10),h12(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))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) )
=> h12(op1(e10,e12)) = op2(h12(e10),h12(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))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) )
=> h12(op1(e10,e13)) = op2(h12(e10),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) )
=> h12(op1(e11,e10)) = op2(h12(e11),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) )
=> h12(op1(e11,e11)) = op2(h12(e11),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) )
=> h12(op1(e11,e12)) = op2(h12(e11),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) )
=> h12(op1(e11,e13)) = op2(h12(e11),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) )
=> h12(op1(e12,e10)) = op2(h12(e12),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) )
=> h12(op1(e12,e11)) = op2(h12(e12),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) )
=> h12(op1(e12,e12)) = op2(h12(e12),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) )
=> h12(op1(e12,e13)) = op2(h12(e12),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) )
=> h12(op1(e13,e10)) = op2(h12(e13),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) )
=> h12(op1(e13,e11)) = op2(h12(e13),h12(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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) )
=> h12(op1(e13,e12)) = op2(h12(e13),h12(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))
& ( 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) )
=> h12(op1(e13,e13)) = op2(h12(e13),h12(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 )
& ( 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20 )
=> h12(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 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21 )
=> h12(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 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& h12(e10) != e22
& h12(e11) != e22
& h12(e12) != e22 )
=> h12(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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& h12(e10) != e23
& h12(e11) != e23
& h12(e12) != e23 )
=> h12(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))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) ) )
=> h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( h12(op1(e10,e10)) != op2(h12(e10),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_0_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_0_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_0_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_0_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_0_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_0_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_0_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_0_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_0_22]) ).
fof(normalize_0_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_0_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_0_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_0_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_34,plain,
( h12(op1(e10,e10)) != op2(h12(e10),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_0_0,normalize_0_2,normalize_0_3,normalize_0_5,normalize_0_6,normalize_0_8,normalize_0_9,normalize_0_11,normalize_0_12,normalize_0_14,normalize_0_15,normalize_0_17,normalize_0_18,normalize_0_20,normalize_0_21,normalize_0_23,normalize_0_24,normalize_0_26,normalize_0_27,normalize_0_29,normalize_0_30,normalize_0_32,normalize_0_33]) ).
fof(normalize_0_35,plain,
h12(op1(e10,e10)) != op2(h12(e10),h12(e10)),
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
h10(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_37,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_0_38,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_0_37]) ).
fof(normalize_0_39,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_40,plain,
h4(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_41,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_0_42,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_0_41,normalize_0_37]) ).
fof(normalize_0_43,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_0_42]) ).
fof(normalize_0_44,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_0_43]) ).
fof(normalize_0_45,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_0_46,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_48,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,[],[ax18]) ).
fof(normalize_0_49,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_0_48]) ).
fof(normalize_0_50,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_0_51,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_0_50]) ).
fof(normalize_0_52,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_0_53,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_0_52,normalize_0_42,normalize_0_37]) ).
fof(normalize_0_54,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_0_55,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_0_53,normalize_0_54]) ).
fof(normalize_0_56,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_0_55]) ).
fof(normalize_0_57,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_0_56]) ).
fof(normalize_0_58,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_0_50]) ).
fof(normalize_0_59,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_0_60,plain,
e20 != e23,
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_61,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_0_54]) ).
fof(normalize_0_62,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_0_61]) ).
fof(normalize_0_63,plain,
e20 != e22,
inference(conjunct,[],[normalize_0_59]) ).
fof(normalize_0_64,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_0_38]) ).
fof(normalize_0_65,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_0_66,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_0_65]) ).
fof(normalize_0_67,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_0_66]) ).
fof(normalize_0_68,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_69,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_0_68,normalize_0_65]) ).
fof(normalize_0_70,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_0_69]) ).
fof(normalize_0_71,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_0_70]) ).
fof(normalize_0_72,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,[],[ax17]) ).
fof(normalize_0_73,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_0_72]) ).
fof(normalize_0_74,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_0_75,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_0_74]) ).
fof(normalize_0_76,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_0_77,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_0_76,normalize_0_69,normalize_0_65]) ).
fof(normalize_0_78,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_0_79,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_0_77,normalize_0_78]) ).
fof(normalize_0_80,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_79]) ).
fof(normalize_0_81,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_0_80]) ).
fof(normalize_0_82,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_0_74]) ).
fof(normalize_0_83,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_0_84,plain,
e10 != e13,
inference(conjunct,[],[normalize_0_83]) ).
fof(normalize_0_85,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_0_78]) ).
fof(normalize_0_86,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_0_85]) ).
fof(normalize_0_87,plain,
e10 != e12,
inference(conjunct,[],[normalize_0_83]) ).
cnf(refute_0_0,plain,
h12(op1(e10,e10)) != op2(h12(e10),h12(e10)),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_1,plain,
h10(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_2,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_3,plain,
h4(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_40]) ).
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( $equal(X,X) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( h4(e10) != op2(e20,e20)
| op2(e20,e20) = h4(e10) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_8,plain,
op2(e20,e20) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e20)) )],[refute_0_3,refute_0_7]) ).
cnf(refute_0_9,plain,
( h10(e10) != op2(e20,e20)
| op2(e20,e20) != h4(e10)
| h10(e10) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e10),h4(e10)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_0_10,plain,
( h10(e10) != op2(e20,e20)
| h10(e10) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
h10(e10) = h4(e10),
inference(resolve,[$cnf( $equal(h10(e10),op2(e20,e20)) )],[refute_0_1,refute_0_10]) ).
cnf(refute_0_12,plain,
( h10(e10) != h4(e10)
| h4(e10) = h10(e10) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h10(e10))),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_0_13,plain,
h4(e10) = h10(e10),
inference(resolve,[$cnf( $equal(h10(e10),h4(e10)) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_15,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_6,refute_0_14]) ).
cnf(refute_0_16,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) != h4(e10)
| op2(e20,e20) = h10(e10) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h10(e10)))]]) ).
cnf(refute_0_17,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) = h10(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_0_8,refute_0_16]) ).
cnf(refute_0_18,plain,
op2(e20,e20) = h10(e10),
inference(resolve,[$cnf( $equal(h4(e10),h10(e10)) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h10(e10)
| h10(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h10(e10))]]) ).
cnf(refute_0_20,plain,
( op2(e20,e20) != e20
| h10(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
( h10(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_2,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_23,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_24,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_25,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_26,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_28,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_0_23,refute_0_28]) ).
cnf(refute_0_30,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_0_31,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_0_33,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_0_26,refute_0_32]) ).
cnf(refute_0_34,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_0_31,refute_0_33]) ).
cnf(refute_0_35,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_0_36,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_0_22,refute_0_36]) ).
cnf(refute_0_38,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_39,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_0_40,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_0_34,refute_0_39]) ).
cnf(refute_0_41,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_42,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_0_43,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_0_45,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_0_45,refute_0_40]) ).
cnf(refute_0_47,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_0_46,refute_0_38]) ).
cnf(refute_0_48,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_0_37,refute_0_47]) ).
cnf(refute_0_49,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_50,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_51,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_52,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_0_54,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_0_49,refute_0_54]) ).
cnf(refute_0_56,plain,
e20 != e23,
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_57,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_59,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_0_60,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_52,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_0_58,refute_0_60]) ).
cnf(refute_0_62,plain,
e20 != e22,
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_63,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_0_57,refute_0_63]) ).
cnf(refute_0_65,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_0_64,refute_0_48]) ).
cnf(refute_0_66,plain,
h10(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_21,refute_0_65]) ).
cnf(refute_0_67,plain,
( h10(e10) != e20
| h10(e10) != op2(e20,e20)
| e20 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h10(e10),op2(e20,e20)) ),[0],$fot(e20)]]) ).
cnf(refute_0_68,plain,
( h10(e10) != op2(e20,e20)
| e20 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h10(e10),e20) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
e20 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h10(e10),op2(e20,e20)) )],[refute_0_1,refute_0_68]) ).
cnf(refute_0_70,plain,
( e20 != op2(e20,e20)
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_71,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e20,e20)) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_73,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_0_74,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_0_34,refute_0_73]) ).
cnf(refute_0_75,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_72,refute_0_74]) ).
cnf(refute_0_76,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_0_75,refute_0_65]) ).
cnf(refute_0_77,plain,
op2(e20,h12(e10)) = op2(e20,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h12(e10)))]]) ).
cnf(refute_0_78,plain,
( h12(e10) != e20
| op2(e20,h12(e10)) != op2(e20,h12(e10))
| op2(e20,h12(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h12(e10)),op2(e20,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_79,plain,
( h12(e10) != e20
| op2(e20,h12(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e10)),op2(e20,h12(e10))) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
op2(e20,h12(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_0_76,refute_0_79]) ).
cnf(refute_0_81,plain,
op2(h12(e10),h12(e10)) = op2(h12(e10),h12(e10)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e10)))]]) ).
cnf(refute_0_82,plain,
( h12(e10) != e20
| op2(h12(e10),h12(e10)) != op2(h12(e10),h12(e10))
| op2(h12(e10),h12(e10)) = op2(e20,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e10)),op2(h12(e10),h12(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_83,plain,
( h12(e10) != e20
| op2(h12(e10),h12(e10)) = op2(e20,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e10)),op2(h12(e10),h12(e10))) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
op2(h12(e10),h12(e10)) = op2(e20,h12(e10)),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_0_76,refute_0_83]) ).
cnf(refute_0_85,plain,
( op2(e20,h12(e10)) != op2(e20,e20)
| op2(h12(e10),h12(e10)) != op2(e20,h12(e10))
| op2(h12(e10),h12(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(op2(h12(e10),h12(e10)))),bind(Y,$fot(op2(e20,h12(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_86,plain,
( op2(e20,h12(e10)) != op2(e20,e20)
| op2(h12(e10),h12(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e10)),op2(e20,h12(e10))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
op2(h12(e10),h12(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h12(e10)),op2(e20,e20)) )],[refute_0_80,refute_0_86]) ).
cnf(refute_0_88,plain,
( op2(e20,e20) != e20
| op2(h12(e10),h12(e10)) != op2(e20,e20)
| op2(h12(e10),h12(e10)) = e20 ),
inference(subst,[],[refute_0_15:[bind(X,$fot(op2(h12(e10),h12(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_0_89,plain,
( op2(e20,e20) != e20
| op2(h12(e10),h12(e10)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e10)),op2(e20,e20)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
op2(h12(e10),h12(e10)) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_71,refute_0_89]) ).
cnf(refute_0_91,plain,
( h12(op1(e10,e10)) != e20
| op2(h12(e10),h12(e10)) != e20
| h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e10)),op2(h12(e10),h12(e10))) ),[1],$fot(e20)]]) ).
cnf(refute_0_92,plain,
( h12(op1(e10,e10)) != e20
| h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e10)),e20) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
h12(op1(e10,e10)) != e20,
inference(resolve,[$cnf( $equal(h12(op1(e10,e10)),op2(h12(e10),h12(e10))) )],[refute_0_92,refute_0_0]) ).
cnf(refute_0_94,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_95,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_96,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_0_73]) ).
cnf(refute_0_97,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_98,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_0_99,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_0_101,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_0_101,refute_0_96]) ).
cnf(refute_0_103,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_0_95,refute_0_102]) ).
cnf(refute_0_104,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_105,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_106,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_0_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_107,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_0_109,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_0_104,refute_0_109]) ).
cnf(refute_0_111,plain,
e10 != e13,
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_112,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_0_86]) ).
cnf(refute_0_114,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_0_115,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_0_107,refute_0_114]) ).
cnf(refute_0_116,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_0_113,refute_0_115]) ).
cnf(refute_0_117,plain,
e10 != e12,
inference(canonicalize,[],[normalize_0_87]) ).
cnf(refute_0_118,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_0_112,refute_0_118]) ).
cnf(refute_0_120,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_0_119,refute_0_103]) ).
cnf(refute_0_121,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_0_94,refute_0_120]) ).
cnf(refute_0_122,plain,
h12(op1(e10,e10)) = h12(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e10)))]]) ).
cnf(refute_0_123,plain,
( h12(op1(e10,e10)) != h12(op1(e10,e10))
| op1(e10,e10) != e10
| h12(op1(e10,e10)) = h12(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e10)),h12(op1(e10,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_124,plain,
( op1(e10,e10) != e10
| h12(op1(e10,e10)) = h12(e10) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e10)),h12(op1(e10,e10))) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
h12(op1(e10,e10)) = h12(e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( h12(e10) != e20
| h12(op1(e10,e10)) != h12(e10)
| h12(op1(e10,e10)) = e20 ),
inference(subst,[],[refute_0_15:[bind(X,$fot(h12(op1(e10,e10)))),bind(Y,$fot(h12(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_0_127,plain,
( h12(e10) != e20
| h12(op1(e10,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e10)),h12(e10)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
h12(op1(e10,e10)) = e20,
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_0_76,refute_0_127]) ).
cnf(refute_0_129,plain,
( e20 != e20
| h12(op1(e10,e10)) != e20
| h12(op1(e10,e10)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e10)),e20) ),[1],$fot(e20)]]) ).
cnf(refute_0_130,plain,
( e20 != e20
| h12(op1(e10,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e10)),e20) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h12(op1(e10,e10)),e20) )],[refute_0_130,refute_0_93]) ).
cnf(refute_0_132,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_0_133,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_0_132,refute_0_131]) ).
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))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10)) )
=> h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_1_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_1_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_1_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_1_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_1_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_1_13]) ).
fof(normalize_1_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_1_13]) ).
fof(normalize_1_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_1_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_1_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_1_19]) ).
fof(normalize_1_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_1_19]) ).
fof(normalize_1_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_1_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_1_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_1_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_1_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_1_31]) ).
fof(normalize_1_34,plain,
( h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_1_0,normalize_1_2,normalize_1_3,normalize_1_5,normalize_1_6,normalize_1_8,normalize_1_9,normalize_1_11,normalize_1_12,normalize_1_14,normalize_1_15,normalize_1_17,normalize_1_18,normalize_1_20,normalize_1_21,normalize_1_23,normalize_1_24,normalize_1_26,normalize_1_27,normalize_1_29,normalize_1_30,normalize_1_32,normalize_1_33]) ).
fof(normalize_1_35,plain,
h12(op1(e10,e11)) != op2(h12(e10),h12(e11)),
inference(conjunct,[],[normalize_1_34]) ).
fof(normalize_1_36,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_1_37,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_1_36]) ).
fof(normalize_1_38,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_39,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_1_40,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_41,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_42,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_1_43,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_1_42,normalize_1_36]) ).
fof(normalize_1_44,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_1_43]) ).
fof(normalize_1_45,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_1_44]) ).
fof(normalize_1_46,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,[],[ax18]) ).
fof(normalize_1_47,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_48,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_1_49,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_50,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_1_51,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_1_50,normalize_1_43,normalize_1_36]) ).
fof(normalize_1_52,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_1_53,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_1_51,normalize_1_52]) ).
fof(normalize_1_54,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_1_53]) ).
fof(normalize_1_55,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_1_54]) ).
fof(normalize_1_56,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_1_48]) ).
fof(normalize_1_57,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_1_58,plain,
e20 != e23,
inference(conjunct,[],[normalize_1_57]) ).
fof(normalize_1_59,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_1_52]) ).
fof(normalize_1_60,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_1_59]) ).
fof(normalize_1_61,plain,
e20 != e22,
inference(conjunct,[],[normalize_1_57]) ).
fof(normalize_1_62,plain,
h1(e11) = op2(e20,e21),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_63,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_1_64,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_65,plain,
h4(e11) = op2(e21,e20),
inference(conjunct,[],[normalize_1_16]) ).
fof(normalize_1_66,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_1_4]) ).
fof(normalize_1_67,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_68,plain,
h1(e10) = op2(e21,e21),
inference(conjunct,[],[normalize_1_1]) ).
fof(normalize_1_69,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_70,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_1_71,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_1_70]) ).
fof(normalize_1_72,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_1_13]) ).
fof(normalize_1_73,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_74,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_75,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_76,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_77,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_78,plain,
h11(e11) = op2(e23,e21),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_79,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_80,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_1_28]) ).
fof(normalize_1_81,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_82,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_83,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_1_22]) ).
fof(normalize_1_84,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_85,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_1_10]) ).
fof(normalize_1_86,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_87,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_1_46]) ).
fof(normalize_1_88,plain,
e22 != e23,
inference(conjunct,[],[normalize_1_57]) ).
fof(normalize_1_89,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_90,plain,
h5(e11) = op2(e21,e22),
inference(conjunct,[],[normalize_1_19]) ).
fof(normalize_1_91,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_1_39]) ).
fof(normalize_1_92,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_93,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_94,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(conjunct,[],[normalize_1_63]) ).
fof(normalize_1_95,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_1_96,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_97,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_98,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_1_99,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_1_98]) ).
fof(normalize_1_100,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_101,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_1_98]) ).
fof(normalize_1_102,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(conjunct,[],[normalize_1_95]) ).
fof(normalize_1_103,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_1_104,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_1_103]) ).
fof(normalize_1_105,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_104]) ).
fof(normalize_1_106,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_1_107,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_1_106,normalize_1_103]) ).
fof(normalize_1_108,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_1_107]) ).
fof(normalize_1_109,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_1_108]) ).
fof(normalize_1_110,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,[],[ax17]) ).
fof(normalize_1_111,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_1_110]) ).
fof(normalize_1_112,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_1_113,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_1_112,normalize_1_107,normalize_1_103]) ).
fof(normalize_1_114,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_1_115,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_1_113,normalize_1_114]) ).
fof(normalize_1_116,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_1_115]) ).
fof(normalize_1_117,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_1_116]) ).
fof(normalize_1_118,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_1_119,plain,
e10 != e13,
inference(conjunct,[],[normalize_1_118]) ).
fof(normalize_1_120,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_1_114]) ).
fof(normalize_1_121,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_1_120]) ).
fof(normalize_1_122,plain,
e10 != e12,
inference(conjunct,[],[normalize_1_118]) ).
fof(normalize_1_123,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_124,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_1_123]) ).
fof(normalize_1_125,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_1_110]) ).
fof(normalize_1_126,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_1_110]) ).
fof(normalize_1_127,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_104]) ).
fof(normalize_1_128,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_1_110]) ).
fof(normalize_1_129,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_1_104]) ).
fof(normalize_1_130,plain,
e12 != e13,
inference(conjunct,[],[normalize_1_118]) ).
cnf(refute_1_0,plain,
h12(op1(e10,e11)) != op2(h12(e10),h12(e11)),
inference(canonicalize,[],[normalize_1_35]) ).
cnf(refute_1_1,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_2,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_1_40]) ).
cnf(refute_1_3,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_1_41]) ).
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( $equal(X,X) )],[refute_1_4,refute_1_5]) ).
cnf(refute_1_7,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_8,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_1_3,refute_1_7]) ).
cnf(refute_1_9,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_1_10,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_1_8,refute_1_9]) ).
cnf(refute_1_11,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_1_2,refute_1_10]) ).
cnf(refute_1_12,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_1_13,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_1_11,refute_1_12]) ).
cnf(refute_1_14,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_15,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_6,refute_1_14]) ).
cnf(refute_1_16,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_1_17,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_1_8,refute_1_16]) ).
cnf(refute_1_18,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_1_13,refute_1_17]) ).
cnf(refute_1_19,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_1_20,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_1_18,refute_1_19]) ).
cnf(refute_1_21,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_1_1,refute_1_20]) ).
cnf(refute_1_22,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_1_45]) ).
cnf(refute_1_23,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_1_24,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_1_18,refute_1_23]) ).
cnf(refute_1_25,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_1_22,refute_1_24]) ).
cnf(refute_1_26,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_47]) ).
cnf(refute_1_27,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_28,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_1_18,refute_1_27]) ).
cnf(refute_1_29,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_1_49]) ).
cnf(refute_1_30,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_1_31,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_1_29,refute_1_30]) ).
cnf(refute_1_32,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_33,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_1_33,refute_1_28]) ).
cnf(refute_1_35,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_1_34,refute_1_26]) ).
cnf(refute_1_36,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_1_25,refute_1_35]) ).
cnf(refute_1_37,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_1_55]) ).
cnf(refute_1_38,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_1_56]) ).
cnf(refute_1_39,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_40,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_1_38,refute_1_39]) ).
cnf(refute_1_41,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_42,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_40,refute_1_41]) ).
cnf(refute_1_43,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_1_37,refute_1_42]) ).
cnf(refute_1_44,plain,
e20 != e23,
inference(canonicalize,[],[normalize_1_58]) ).
cnf(refute_1_45,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_43,refute_1_44]) ).
cnf(refute_1_46,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_1_60]) ).
cnf(refute_1_47,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_1_48,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_40,refute_1_47]) ).
cnf(refute_1_49,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_1_46,refute_1_48]) ).
cnf(refute_1_50,plain,
e20 != e22,
inference(canonicalize,[],[normalize_1_61]) ).
cnf(refute_1_51,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_1_49,refute_1_50]) ).
cnf(refute_1_52,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_1_45,refute_1_51]) ).
cnf(refute_1_53,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_1_52,refute_1_36]) ).
cnf(refute_1_54,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_21,refute_1_53]) ).
cnf(refute_1_55,plain,
op2(h12(e10),h12(e11)) = op2(h12(e10),h12(e11)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e11)))]]) ).
cnf(refute_1_56,plain,
( h12(e10) != e20
| op2(h12(e10),h12(e11)) != op2(h12(e10),h12(e11))
| op2(h12(e10),h12(e11)) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e11)),op2(h12(e10),h12(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_57,plain,
( h12(e10) != e20
| op2(h12(e10),h12(e11)) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e11)),op2(h12(e10),h12(e11))) )],[refute_1_55,refute_1_56]) ).
cnf(refute_1_58,plain,
op2(h12(e10),h12(e11)) = op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_1_54,refute_1_57]) ).
cnf(refute_1_59,plain,
( h12(op1(e10,e11)) != op2(e20,h12(e11))
| op2(h12(e10),h12(e11)) != op2(e20,h12(e11))
| h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e11)),op2(h12(e10),h12(e11))) ),[1],$fot(op2(e20,h12(e11)))]]) ).
cnf(refute_1_60,plain,
( h12(op1(e10,e11)) != op2(e20,h12(e11))
| h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e11)),op2(e20,h12(e11))) )],[refute_1_58,refute_1_59]) ).
cnf(refute_1_61,plain,
h12(op1(e10,e11)) != op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),op2(h12(e10),h12(e11))) )],[refute_1_60,refute_1_0]) ).
cnf(refute_1_62,plain,
h1(e11) = op2(e20,e21),
inference(canonicalize,[],[normalize_1_62]) ).
cnf(refute_1_63,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(canonicalize,[],[normalize_1_64]) ).
cnf(refute_1_64,plain,
h4(e11) = op2(e21,e20),
inference(canonicalize,[],[normalize_1_65]) ).
cnf(refute_1_65,plain,
( h4(e11) != op2(e21,e20)
| op2(e21,e20) = h4(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_1_66,plain,
op2(e21,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_1_64,refute_1_65]) ).
cnf(refute_1_67,plain,
op2(op2(e22,e23),e20) = op2(op2(e22,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e20))]]) ).
cnf(refute_1_68,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) != op2(op2(e22,e23),e20)
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_69,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) )],[refute_1_67,refute_1_68]) ).
cnf(refute_1_70,plain,
op2(op2(e22,e23),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_31,refute_1_69]) ).
cnf(refute_1_71,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e21,e20)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(op2(e22,e23),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_1_72,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e21,e20)) )],[refute_1_70,refute_1_71]) ).
cnf(refute_1_73,plain,
op2(op2(e22,e23),e20) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_1_66,refute_1_72]) ).
cnf(refute_1_74,plain,
( op2(op2(e22,e23),e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) ),[0],$fot(h4(e11))]]) ).
cnf(refute_1_75,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),h4(e11)) )],[refute_1_73,refute_1_74]) ).
cnf(refute_1_76,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_1_66]) ).
cnf(refute_1_77,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_1_78,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_1_76,refute_1_77]) ).
cnf(refute_1_79,plain,
op2(e22,op2(e23,e20)) = op2(e22,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_1_80,plain,
( op2(e22,op2(e23,e20)) != op2(e22,op2(e23,e20))
| op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_1_81,plain,
( op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) )],[refute_1_79,refute_1_80]) ).
cnf(refute_1_82,plain,
op2(e22,op2(e23,e20)) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_1_78,refute_1_81]) ).
cnf(refute_1_83,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| op2(e22,op2(e23,e20)) != op2(e22,h10(e11))
| h4(e11) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(e22,h10(e11))) ),[0],$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_1_84,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,h10(e11))) )],[refute_1_82,refute_1_83]) ).
cnf(refute_1_85,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,op2(e23,e20))) )],[refute_1_75,refute_1_84]) ).
cnf(refute_1_86,plain,
h4(e11) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) )],[refute_1_63,refute_1_85]) ).
cnf(refute_1_87,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_1_67]) ).
cnf(refute_1_88,plain,
h1(e10) = op2(e21,e21),
inference(canonicalize,[],[normalize_1_68]) ).
cnf(refute_1_89,plain,
( h1(e10) != op2(e21,e21)
| op2(e21,e21) = h1(e10) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_90,plain,
op2(e21,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e21)) )],[refute_1_88,refute_1_89]) ).
cnf(refute_1_91,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_1_92,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h1(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_1_93,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e21) = op2(h1(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_1_91,refute_1_92]) ).
cnf(refute_1_94,plain,
op2(op2(e21,e21),e21) = op2(h1(e10),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_1_90,refute_1_93]) ).
cnf(refute_1_95,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(op2(e21,e21),e21) != op2(h1(e10),e21)
| op2(h1(e10),e21) = op2(e21,op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) ),[0],$fot(op2(h1(e10),e21))]]) ).
cnf(refute_1_96,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h1(e10),e21)) )],[refute_1_94,refute_1_95]) ).
cnf(refute_1_97,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_1_98,plain,
( op2(e21,e21) != h1(e10)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_1_99,plain,
( op2(e21,e21) != h1(e10)
| op2(e21,op2(e21,e21)) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_1_97,refute_1_98]) ).
cnf(refute_1_100,plain,
op2(e21,op2(e21,e21)) = op2(e21,h1(e10)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_1_90,refute_1_99]) ).
cnf(refute_1_101,plain,
( op2(e21,op2(e21,e21)) != op2(e21,h1(e10))
| op2(h1(e10),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e21),op2(e21,op2(e21,e21))) ),[1],$fot(op2(e21,h1(e10)))]]) ).
cnf(refute_1_102,plain,
( op2(h1(e10),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h1(e10))) )],[refute_1_100,refute_1_101]) ).
cnf(refute_1_103,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(e21,op2(e21,e21))) )],[refute_1_96,refute_1_102]) ).
cnf(refute_1_104,plain,
op2(h1(e10),e21) = op2(e21,h1(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) )],[refute_1_87,refute_1_103]) ).
cnf(refute_1_105,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_106,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_1_62,refute_1_105]) ).
cnf(refute_1_107,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_1_69]) ).
cnf(refute_1_108,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_1_109,plain,
( op2(e21,e21) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_1_90,refute_1_108]) ).
cnf(refute_1_110,plain,
( h1(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_1_107,refute_1_109]) ).
cnf(refute_1_111,plain,
h1(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_1_110,refute_1_53]) ).
cnf(refute_1_112,plain,
op2(h1(e10),e21) = op2(h1(e10),e21),
introduced(tautology,[refl,[$fot(op2(h1(e10),e21))]]) ).
cnf(refute_1_113,plain,
( h1(e10) != e20
| op2(h1(e10),e21) != op2(h1(e10),e21)
| op2(h1(e10),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e21),op2(h1(e10),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_114,plain,
( h1(e10) != e20
| op2(h1(e10),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(h1(e10),e21)) )],[refute_1_112,refute_1_113]) ).
cnf(refute_1_115,plain,
op2(h1(e10),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_1_111,refute_1_114]) ).
cnf(refute_1_116,plain,
( op2(e20,e21) != h1(e11)
| op2(h1(e10),e21) != op2(e20,e21)
| op2(h1(e10),e21) = h1(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h1(e10),e21))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_1_117,plain,
( op2(e20,e21) != h1(e11)
| op2(h1(e10),e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(e20,e21)) )],[refute_1_115,refute_1_116]) ).
cnf(refute_1_118,plain,
op2(h1(e10),e21) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_1_106,refute_1_117]) ).
cnf(refute_1_119,plain,
( op2(h1(e10),e21) != h1(e11)
| op2(h1(e10),e21) != op2(e21,h1(e10))
| h1(e11) = op2(e21,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e21),op2(e21,h1(e10))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_120,plain,
( op2(h1(e10),e21) != op2(e21,h1(e10))
| h1(e11) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),h1(e11)) )],[refute_1_118,refute_1_119]) ).
cnf(refute_1_121,plain,
op2(e21,h1(e10)) = op2(e21,h1(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h1(e10)))]]) ).
cnf(refute_1_122,plain,
( h1(e10) != e20
| op2(e21,h1(e10)) != op2(e21,h1(e10))
| op2(e21,h1(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e10)),op2(e21,h1(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_123,plain,
( h1(e10) != e20
| op2(e21,h1(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e10)),op2(e21,h1(e10))) )],[refute_1_121,refute_1_122]) ).
cnf(refute_1_124,plain,
op2(e21,h1(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_1_111,refute_1_123]) ).
cnf(refute_1_125,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h1(e10)) != op2(e21,e20)
| op2(e21,h1(e10)) = h4(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e21,h1(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_1_126,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h1(e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e10)),op2(e21,e20)) )],[refute_1_124,refute_1_125]) ).
cnf(refute_1_127,plain,
op2(e21,h1(e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_1_66,refute_1_126]) ).
cnf(refute_1_128,plain,
( h1(e11) != op2(e21,h1(e10))
| op2(e21,h1(e10)) != h4(e11)
| h1(e11) = h4(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h4(e11)) ),[0],$fot(op2(e21,h1(e10)))]]) ).
cnf(refute_1_129,plain,
( h1(e11) != op2(e21,h1(e10))
| h1(e11) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e10)),h4(e11)) )],[refute_1_127,refute_1_128]) ).
cnf(refute_1_130,plain,
( op2(h1(e10),e21) != op2(e21,h1(e10))
| h1(e11) = h4(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,h1(e10))) )],[refute_1_120,refute_1_129]) ).
cnf(refute_1_131,plain,
h1(e11) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(e21,h1(e10))) )],[refute_1_104,refute_1_130]) ).
cnf(refute_1_132,plain,
( h1(e11) != h4(e11)
| h4(e11) = h1(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_1_133,plain,
h4(e11) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h4(e11)) )],[refute_1_131,refute_1_132]) ).
cnf(refute_1_134,plain,
( h4(e11) != h1(e11)
| h4(e11) != op2(e22,h10(e11))
| h1(e11) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e22,h10(e11))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_135,plain,
( h4(e11) != op2(e22,h10(e11))
| h1(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_1_133,refute_1_134]) ).
cnf(refute_1_136,plain,
h1(e11) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,h10(e11))) )],[refute_1_86,refute_1_135]) ).
cnf(refute_1_137,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_1_71]) ).
cnf(refute_1_138,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_1_72]) ).
cnf(refute_1_139,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_140,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_1_138,refute_1_139]) ).
cnf(refute_1_141,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_142,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_141]) ).
cnf(refute_1_143,plain,
( h3(e11) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_137,refute_1_142]) ).
cnf(refute_1_144,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_145,plain,
( op2(e20,e23) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_144]) ).
cnf(refute_1_146,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_143,refute_1_145]) ).
cnf(refute_1_147,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_148,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_147]) ).
cnf(refute_1_149,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_146,refute_1_148]) ).
cnf(refute_1_150,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_151,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_150]) ).
cnf(refute_1_152,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_149,refute_1_151]) ).
cnf(refute_1_153,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_1_73]) ).
cnf(refute_1_154,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_1_155,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_154]) ).
cnf(refute_1_156,plain,
( h3(e11) != e20
| op2(e23,e23) != e20
| h3(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_1_157,plain,
( h3(e11) != e20
| h3(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_40,refute_1_156]) ).
cnf(refute_1_158,plain,
( h3(e11) != e20
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e23)) )],[refute_1_157,refute_1_155]) ).
cnf(refute_1_159,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_1_158,refute_1_153]) ).
cnf(refute_1_160,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_1_152,refute_1_159]) ).
cnf(refute_1_161,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_74]) ).
cnf(refute_1_162,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_163,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_162]) ).
cnf(refute_1_164,plain,
( h3(e11) != e21
| op2(e22,e23) != e21
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_165,plain,
( h3(e11) != e21
| h3(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_31,refute_1_164]) ).
cnf(refute_1_166,plain,
( h3(e11) != e21
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_1_165,refute_1_163]) ).
cnf(refute_1_167,plain,
h3(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_1_166,refute_1_161]) ).
cnf(refute_1_168,plain,
( h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_1_160,refute_1_167]) ).
cnf(refute_1_169,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_75]) ).
cnf(refute_1_170,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_1_171,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_172,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_1_170,refute_1_171]) ).
cnf(refute_1_173,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_40,refute_1_172]) ).
cnf(refute_1_174,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_1_175,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_1_173,refute_1_174]) ).
cnf(refute_1_176,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_175]) ).
cnf(refute_1_177,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_1_178,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_1_176,refute_1_177]) ).
cnf(refute_1_179,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_180,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_181,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_1_179,refute_1_180]) ).
cnf(refute_1_182,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_40,refute_1_181]) ).
cnf(refute_1_183,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_1_184,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_1_182,refute_1_183]) ).
cnf(refute_1_185,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_1_78,refute_1_184]) ).
cnf(refute_1_186,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_1_187,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_1_185,refute_1_186]) ).
cnf(refute_1_188,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_1_178,refute_1_187]) ).
cnf(refute_1_189,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_1_169,refute_1_188]) ).
cnf(refute_1_190,plain,
( h3(e11) != e22
| h3(e11) != h10(e11)
| h10(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(h10(e11))]]) ).
cnf(refute_1_191,plain,
( h3(e11) != e22
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_1_189,refute_1_190]) ).
cnf(refute_1_192,plain,
( h10(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_1_168,refute_1_191]) ).
cnf(refute_1_193,plain,
( h3(e11) != e23
| h3(e11) != h10(e11)
| h10(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(h10(e11))]]) ).
cnf(refute_1_194,plain,
( h3(e11) != e23
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_1_189,refute_1_193]) ).
cnf(refute_1_195,plain,
( h10(e11) = e22
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_1_192,refute_1_194]) ).
cnf(refute_1_196,plain,
( h1(e11) != op2(e22,h10(e11))
| h10(e11) != e23
| h1(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e22,h10(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_197,plain,
( h1(e11) != op2(e22,h10(e11))
| h1(e11) = op2(e22,e23)
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_1_195,refute_1_196]) ).
cnf(refute_1_198,plain,
( h1(e11) = op2(e22,e23)
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,h10(e11))) )],[refute_1_136,refute_1_197]) ).
cnf(refute_1_199,plain,
( h1(e11) != op2(e22,e23)
| op2(e22,e23) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),e21) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_1_200,plain,
( h1(e11) != op2(e22,e23)
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_31,refute_1_199]) ).
cnf(refute_1_201,plain,
( h1(e11) = e21
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,e23)) )],[refute_1_198,refute_1_200]) ).
cnf(refute_1_202,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_203,plain,
op2(op2(e23,e20),e21) = op2(op2(e23,e20),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e20),e21))]]) ).
cnf(refute_1_204,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e21) != op2(op2(e23,e20),e21)
| op2(op2(e23,e20),e21) = op2(h10(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e21),op2(op2(e23,e20),e21)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_1_205,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e21) = op2(h10(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e21),op2(op2(e23,e20),e21)) )],[refute_1_203,refute_1_204]) ).
cnf(refute_1_206,plain,
op2(op2(e23,e20),e21) = op2(h10(e11),e21),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_1_78,refute_1_205]) ).
cnf(refute_1_207,plain,
( op2(op2(e23,e20),e21) != op2(e23,op2(e20,e21))
| op2(op2(e23,e20),e21) != op2(h10(e11),e21)
| op2(h10(e11),e21) = op2(e23,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e21),op2(e23,op2(e20,e21))) ),[0],$fot(op2(h10(e11),e21))]]) ).
cnf(refute_1_208,plain,
( op2(op2(e23,e20),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e21),op2(h10(e11),e21)) )],[refute_1_206,refute_1_207]) ).
cnf(refute_1_209,plain,
op2(e23,op2(e20,e21)) = op2(e23,op2(e20,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e20,e21)))]]) ).
cnf(refute_1_210,plain,
( op2(e20,e21) != h1(e11)
| op2(e23,op2(e20,e21)) != op2(e23,op2(e20,e21))
| op2(e23,op2(e20,e21)) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e20,e21)),op2(e23,op2(e20,e21))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_1_211,plain,
( op2(e20,e21) != h1(e11)
| op2(e23,op2(e20,e21)) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e21)),op2(e23,op2(e20,e21))) )],[refute_1_209,refute_1_210]) ).
cnf(refute_1_212,plain,
op2(e23,op2(e20,e21)) = op2(e23,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_1_106,refute_1_211]) ).
cnf(refute_1_213,plain,
( op2(e23,op2(e20,e21)) != op2(e23,h1(e11))
| op2(h10(e11),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),op2(e23,op2(e20,e21))) ),[1],$fot(op2(e23,h1(e11)))]]) ).
cnf(refute_1_214,plain,
( op2(h10(e11),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e21)),op2(e23,h1(e11))) )],[refute_1_212,refute_1_213]) ).
cnf(refute_1_215,plain,
( op2(op2(e23,e20),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e23,op2(e20,e21))) )],[refute_1_208,refute_1_214]) ).
cnf(refute_1_216,plain,
op2(h10(e11),e21) = op2(e23,h1(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e21),op2(e23,op2(e20,e21))) )],[refute_1_202,refute_1_215]) ).
cnf(refute_1_217,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(canonicalize,[],[normalize_1_77]) ).
cnf(refute_1_218,plain,
op2(op2(e20,e23),e21) = op2(op2(e20,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e21))]]) ).
cnf(refute_1_219,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e21) != op2(op2(e20,e23),e21)
| op2(op2(e20,e23),e21) = op2(h3(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_1_220,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e21) = op2(h3(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) )],[refute_1_218,refute_1_219]) ).
cnf(refute_1_221,plain,
op2(op2(e20,e23),e21) = op2(h3(e11),e21),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_220]) ).
cnf(refute_1_222,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) != op2(h3(e11),e21)
| op2(h3(e11),e21) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) ),[0],$fot(op2(h3(e11),e21))]]) ).
cnf(refute_1_223,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h3(e11),e21)) )],[refute_1_221,refute_1_222]) ).
cnf(refute_1_224,plain,
h11(e11) = op2(e23,e21),
inference(canonicalize,[],[normalize_1_78]) ).
cnf(refute_1_225,plain,
( h11(e11) != op2(e23,e21)
| op2(e23,e21) = h11(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h11(e11))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_1_226,plain,
op2(e23,e21) = h11(e11),
inference(resolve,[$cnf( $equal(h11(e11),op2(e23,e21)) )],[refute_1_224,refute_1_225]) ).
cnf(refute_1_227,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_1_228,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != h11(e11)
| op2(e20,op2(e23,e21)) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(h11(e11))]]) ).
cnf(refute_1_229,plain,
( op2(e23,e21) != h11(e11)
| op2(e20,op2(e23,e21)) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_1_227,refute_1_228]) ).
cnf(refute_1_230,plain,
op2(e20,op2(e23,e21)) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_1_226,refute_1_229]) ).
cnf(refute_1_231,plain,
( op2(e20,op2(e23,e21)) != op2(e20,h11(e11))
| op2(h3(e11),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e21),op2(e20,op2(e23,e21))) ),[1],$fot(op2(e20,h11(e11)))]]) ).
cnf(refute_1_232,plain,
( op2(h3(e11),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,h11(e11))) )],[refute_1_230,refute_1_231]) ).
cnf(refute_1_233,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(e20,op2(e23,e21))) )],[refute_1_223,refute_1_232]) ).
cnf(refute_1_234,plain,
op2(h3(e11),e21) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) )],[refute_1_217,refute_1_233]) ).
cnf(refute_1_235,plain,
op2(h3(e11),e21) = op2(h3(e11),e21),
introduced(tautology,[refl,[$fot(op2(h3(e11),e21))]]) ).
cnf(refute_1_236,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e21) != op2(h3(e11),e21)
| op2(h3(e11),e21) = op2(h10(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e21),op2(h3(e11),e21)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_1_237,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e21) = op2(h10(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(h3(e11),e21)) )],[refute_1_235,refute_1_236]) ).
cnf(refute_1_238,plain,
op2(h3(e11),e21) = op2(h10(e11),e21),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_1_189,refute_1_237]) ).
cnf(refute_1_239,plain,
( op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h3(e11),e21) != op2(h10(e11),e21)
| op2(h3(e11),e21) = op2(e23,h1(e11)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h3(e11),e21))),bind(Y,$fot(op2(h10(e11),e21))),bind(Z,$fot(op2(e23,h1(e11))))]]) ).
cnf(refute_1_240,plain,
( op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h3(e11),e21) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(h10(e11),e21)) )],[refute_1_238,refute_1_239]) ).
cnf(refute_1_241,plain,
op2(h3(e11),e21) = op2(e23,h1(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e23,h1(e11))) )],[refute_1_216,refute_1_240]) ).
cnf(refute_1_242,plain,
( op2(h3(e11),e21) != op2(e20,h11(e11))
| op2(h3(e11),e21) != op2(e23,h1(e11))
| op2(e23,h1(e11)) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e21),op2(e20,h11(e11))) ),[0],$fot(op2(e23,h1(e11)))]]) ).
cnf(refute_1_243,plain,
( op2(h3(e11),e21) != op2(e20,h11(e11))
| op2(e23,h1(e11)) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(e23,h1(e11))) )],[refute_1_241,refute_1_242]) ).
cnf(refute_1_244,plain,
op2(e23,h1(e11)) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(e20,h11(e11))) )],[refute_1_234,refute_1_243]) ).
cnf(refute_1_245,plain,
( op2(e23,h1(e11)) != op2(e20,h11(e11))
| op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h10(e11),e21) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),op2(e23,h1(e11))) ),[1],$fot(op2(e20,h11(e11)))]]) ).
cnf(refute_1_246,plain,
( op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h10(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h1(e11)),op2(e20,h11(e11))) )],[refute_1_244,refute_1_245]) ).
cnf(refute_1_247,plain,
op2(h10(e11),e21) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e23,h1(e11))) )],[refute_1_216,refute_1_246]) ).
cnf(refute_1_248,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(canonicalize,[],[normalize_1_79]) ).
cnf(refute_1_249,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_1_80]) ).
cnf(refute_1_250,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_1_251,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_1_249,refute_1_250]) ).
cnf(refute_1_252,plain,
op2(op2(e22,e21),e21) = op2(op2(e22,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e21))]]) ).
cnf(refute_1_253,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e21) != op2(op2(e22,e21),e21)
| op2(op2(e22,e21),e21) = op2(h8(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) ),[1,0],$fot(h8(e11))]]) ).
cnf(refute_1_254,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e21) = op2(h8(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) )],[refute_1_252,refute_1_253]) ).
cnf(refute_1_255,plain,
op2(op2(e22,e21),e21) = op2(h8(e11),e21),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_1_251,refute_1_254]) ).
cnf(refute_1_256,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(op2(e22,e21),e21) != op2(h8(e11),e21)
| op2(h8(e11),e21) = op2(e22,op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) ),[0],$fot(op2(h8(e11),e21))]]) ).
cnf(refute_1_257,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(h8(e11),e21)) )],[refute_1_255,refute_1_256]) ).
cnf(refute_1_258,plain,
op2(e22,op2(e21,e21)) = op2(e22,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e21)))]]) ).
cnf(refute_1_259,plain,
( op2(e21,e21) != h1(e10)
| op2(e22,op2(e21,e21)) != op2(e22,op2(e21,e21))
| op2(e22,op2(e21,e21)) = op2(e22,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_1_260,plain,
( op2(e21,e21) != h1(e10)
| op2(e22,op2(e21,e21)) = op2(e22,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) )],[refute_1_258,refute_1_259]) ).
cnf(refute_1_261,plain,
op2(e22,op2(e21,e21)) = op2(e22,h1(e10)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_1_90,refute_1_260]) ).
cnf(refute_1_262,plain,
( op2(e22,op2(e21,e21)) != op2(e22,h1(e10))
| op2(h8(e11),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),op2(e22,op2(e21,e21))) ),[1],$fot(op2(e22,h1(e10)))]]) ).
cnf(refute_1_263,plain,
( op2(h8(e11),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,h1(e10))) )],[refute_1_261,refute_1_262]) ).
cnf(refute_1_264,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(e22,op2(e21,e21))) )],[refute_1_257,refute_1_263]) ).
cnf(refute_1_265,plain,
op2(h8(e11),e21) = op2(e22,h1(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) )],[refute_1_248,refute_1_264]) ).
cnf(refute_1_266,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_1_81]) ).
cnf(refute_1_267,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_82]) ).
cnf(refute_1_268,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_1_83]) ).
cnf(refute_1_269,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_1_270,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_1_268,refute_1_269]) ).
cnf(refute_1_271,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_1_272,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_273,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_1_271,refute_1_272]) ).
cnf(refute_1_274,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_31,refute_1_273]) ).
cnf(refute_1_275,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_1_276,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_1_274,refute_1_275]) ).
cnf(refute_1_277,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_1_270,refute_1_276]) ).
cnf(refute_1_278,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_1_279,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_1_277,refute_1_278]) ).
cnf(refute_1_280,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_1_281,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_1_266,refute_1_280]) ).
cnf(refute_1_282,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_1_283,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_284,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_1_282,refute_1_283]) ).
cnf(refute_1_285,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_1_40,refute_1_284]) ).
cnf(refute_1_286,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_1_287,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_1_285,refute_1_286]) ).
cnf(refute_1_288,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_1_281,refute_1_287]) ).
cnf(refute_1_289,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_1_290,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_1_288,refute_1_289]) ).
cnf(refute_1_291,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_1_279,refute_1_290]) ).
cnf(refute_1_292,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_1_267,refute_1_291]) ).
cnf(refute_1_293,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_1_294,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_1_292,refute_1_293]) ).
cnf(refute_1_295,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_1_296,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_1_294,refute_1_295]) ).
cnf(refute_1_297,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_1_266,refute_1_296]) ).
cnf(refute_1_298,plain,
( h6(e11) != op2(e22,e20)
| op2(e22,e20) = h6(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_1_299,plain,
op2(e22,e20) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_1_297,refute_1_298]) ).
cnf(refute_1_300,plain,
op2(e22,h1(e10)) = op2(e22,h1(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h1(e10)))]]) ).
cnf(refute_1_301,plain,
( h1(e10) != e20
| op2(e22,h1(e10)) != op2(e22,h1(e10))
| op2(e22,h1(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h1(e10)),op2(e22,h1(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_302,plain,
( h1(e10) != e20
| op2(e22,h1(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e10)),op2(e22,h1(e10))) )],[refute_1_300,refute_1_301]) ).
cnf(refute_1_303,plain,
op2(e22,h1(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_1_111,refute_1_302]) ).
cnf(refute_1_304,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h1(e10)) != op2(e22,e20)
| op2(e22,h1(e10)) = h6(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e22,h1(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_1_305,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h1(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e10)),op2(e22,e20)) )],[refute_1_303,refute_1_304]) ).
cnf(refute_1_306,plain,
op2(e22,h1(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_1_299,refute_1_305]) ).
cnf(refute_1_307,plain,
( op2(e22,h1(e10)) != h6(e11)
| op2(h8(e11),e21) != op2(e22,h1(e10))
| op2(h8(e11),e21) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),op2(e22,h1(e10))) ),[1],$fot(h6(e11))]]) ).
cnf(refute_1_308,plain,
( op2(h8(e11),e21) != op2(e22,h1(e10))
| op2(h8(e11),e21) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e10)),h6(e11)) )],[refute_1_306,refute_1_307]) ).
cnf(refute_1_309,plain,
op2(h8(e11),e21) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(e22,h1(e10))) )],[refute_1_265,refute_1_308]) ).
cnf(refute_1_310,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_1_84]) ).
cnf(refute_1_311,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_1_312,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_1_313,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_1_311,refute_1_312]) ).
cnf(refute_1_314,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_1_18,refute_1_313]) ).
cnf(refute_1_315,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_1_316,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_1_314,refute_1_315]) ).
cnf(refute_1_317,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_1_318,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_1_319,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_1_317,refute_1_318]) ).
cnf(refute_1_320,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_1_18,refute_1_319]) ).
cnf(refute_1_321,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_1_322,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_1_320,refute_1_321]) ).
cnf(refute_1_323,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_1_316,refute_1_322]) ).
cnf(refute_1_324,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_1_310,refute_1_323]) ).
cnf(refute_1_325,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_1_85]) ).
cnf(refute_1_326,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_1_327,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_1_325,refute_1_326]) ).
cnf(refute_1_328,plain,
op2(h12(e10),e22) = op2(h12(e10),e22),
introduced(tautology,[refl,[$fot(op2(h12(e10),e22))]]) ).
cnf(refute_1_329,plain,
( h12(e10) != e20
| op2(h12(e10),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_330,plain,
( h12(e10) != e20
| op2(h12(e10),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) )],[refute_1_328,refute_1_329]) ).
cnf(refute_1_331,plain,
op2(h12(e10),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_1_54,refute_1_330]) ).
cnf(refute_1_332,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) != op2(e20,e22)
| op2(h12(e10),e22) = h2(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h12(e10),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_1_333,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e20,e22)) )],[refute_1_331,refute_1_332]) ).
cnf(refute_1_334,plain,
op2(h12(e10),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_1_327,refute_1_333]) ).
cnf(refute_1_335,plain,
( op2(h12(e10),e22) != h2(e11)
| op2(h12(e10),e22) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_336,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h2(e11)) )],[refute_1_334,refute_1_335]) ).
cnf(refute_1_337,plain,
op2(e22,h12(e10)) = op2(e22,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_1_338,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_339,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) )],[refute_1_337,refute_1_338]) ).
cnf(refute_1_340,plain,
op2(e22,h12(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_1_54,refute_1_339]) ).
cnf(refute_1_341,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) != op2(e22,e20)
| op2(e22,h12(e10)) = h6(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e22,h12(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_1_342,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,e20)) )],[refute_1_340,refute_1_341]) ).
cnf(refute_1_343,plain,
op2(e22,h12(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_1_299,refute_1_342]) ).
cnf(refute_1_344,plain,
( h2(e11) != op2(e22,h12(e10))
| op2(e22,h12(e10)) != h6(e11)
| h2(e11) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h6(e11)) ),[0],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_1_345,plain,
( h2(e11) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h6(e11)) )],[refute_1_343,refute_1_344]) ).
cnf(refute_1_346,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h12(e10))) )],[refute_1_336,refute_1_345]) ).
cnf(refute_1_347,plain,
h2(e11) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_1_324,refute_1_346]) ).
cnf(refute_1_348,plain,
( h2(e11) != h6(e11)
| h6(e11) = h2(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h2(e11))),bind(Y,$fot(h6(e11)))]]) ).
cnf(refute_1_349,plain,
h6(e11) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h6(e11)) )],[refute_1_347,refute_1_348]) ).
cnf(refute_1_350,plain,
( h6(e11) != h2(e11)
| op2(h8(e11),e21) != h6(e11)
| op2(h8(e11),e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),h6(e11)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_1_351,plain,
( op2(h8(e11),e21) != h6(e11)
| op2(h8(e11),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_1_349,refute_1_350]) ).
cnf(refute_1_352,plain,
op2(h8(e11),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),h6(e11)) )],[refute_1_309,refute_1_351]) ).
cnf(refute_1_353,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_1_86]) ).
cnf(refute_1_354,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_1_355,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_1_356,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_1_354,refute_1_355]) ).
cnf(refute_1_357,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_1_18,refute_1_356]) ).
cnf(refute_1_358,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_1_359,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_1_357,refute_1_358]) ).
cnf(refute_1_360,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_1_361,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_362,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_1_360,refute_1_361]) ).
cnf(refute_1_363,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_31,refute_1_362]) ).
cnf(refute_1_364,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_1_365,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_1_363,refute_1_364]) ).
cnf(refute_1_366,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_1_251,refute_1_365]) ).
cnf(refute_1_367,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_1_368,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_1_366,refute_1_367]) ).
cnf(refute_1_369,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_1_359,refute_1_368]) ).
cnf(refute_1_370,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_1_353,refute_1_369]) ).
cnf(refute_1_371,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_1_372,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_1_189,refute_1_371]) ).
cnf(refute_1_373,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_1_138,refute_1_372]) ).
cnf(refute_1_374,plain,
( h10(e11) != op2(e20,e23)
| op2(e20,e23) = h10(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_375,plain,
op2(e20,e23) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_1_373,refute_1_374]) ).
cnf(refute_1_376,plain,
op2(h12(e10),e23) = op2(h12(e10),e23),
introduced(tautology,[refl,[$fot(op2(h12(e10),e23))]]) ).
cnf(refute_1_377,plain,
( h12(e10) != e20
| op2(h12(e10),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_378,plain,
( h12(e10) != e20
| op2(h12(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) )],[refute_1_376,refute_1_377]) ).
cnf(refute_1_379,plain,
op2(h12(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_1_54,refute_1_378]) ).
cnf(refute_1_380,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) != op2(e20,e23)
| op2(h12(e10),e23) = h10(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h12(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_1_381,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e20,e23)) )],[refute_1_379,refute_1_380]) ).
cnf(refute_1_382,plain,
op2(h12(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_1_375,refute_1_381]) ).
cnf(refute_1_383,plain,
( op2(h12(e10),e23) != h10(e11)
| op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_1_384,plain,
( op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h10(e11)) )],[refute_1_382,refute_1_383]) ).
cnf(refute_1_385,plain,
h10(e11) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_1_370,refute_1_384]) ).
cnf(refute_1_386,plain,
( h10(e11) != h8(e11)
| h8(e11) = h10(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h10(e11))),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_1_387,plain,
h8(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h8(e11)) )],[refute_1_385,refute_1_386]) ).
cnf(refute_1_388,plain,
op2(h8(e11),e21) = op2(h8(e11),e21),
introduced(tautology,[refl,[$fot(op2(h8(e11),e21))]]) ).
cnf(refute_1_389,plain,
( h8(e11) != h10(e11)
| op2(h8(e11),e21) != op2(h8(e11),e21)
| op2(h8(e11),e21) = op2(h10(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),op2(h8(e11),e21)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_1_390,plain,
( h8(e11) != h10(e11)
| op2(h8(e11),e21) = op2(h10(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(h8(e11),e21)) )],[refute_1_388,refute_1_389]) ).
cnf(refute_1_391,plain,
op2(h8(e11),e21) = op2(h10(e11),e21),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_1_387,refute_1_390]) ).
cnf(refute_1_392,plain,
( op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h8(e11),e21) != op2(h10(e11),e21)
| op2(h8(e11),e21) = op2(e20,h11(e11)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h8(e11),e21))),bind(Y,$fot(op2(h10(e11),e21))),bind(Z,$fot(op2(e20,h11(e11))))]]) ).
cnf(refute_1_393,plain,
( op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h8(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(h10(e11),e21)) )],[refute_1_391,refute_1_392]) ).
cnf(refute_1_394,plain,
op2(h8(e11),e21) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e20,h11(e11))) )],[refute_1_247,refute_1_393]) ).
cnf(refute_1_395,plain,
( op2(h8(e11),e21) != h2(e11)
| op2(h8(e11),e21) != op2(e20,h11(e11))
| op2(e20,h11(e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),h2(e11)) ),[0],$fot(op2(e20,h11(e11)))]]) ).
cnf(refute_1_396,plain,
( op2(h8(e11),e21) != h2(e11)
| op2(e20,h11(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(e20,h11(e11))) )],[refute_1_394,refute_1_395]) ).
cnf(refute_1_397,plain,
op2(e20,h11(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),h2(e11)) )],[refute_1_352,refute_1_396]) ).
cnf(refute_1_398,plain,
( op2(e20,h11(e11)) != h2(e11)
| op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h10(e11),e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),op2(e20,h11(e11))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_1_399,plain,
( op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h10(e11),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h11(e11)),h2(e11)) )],[refute_1_397,refute_1_398]) ).
cnf(refute_1_400,plain,
op2(h10(e11),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e20,h11(e11))) )],[refute_1_247,refute_1_399]) ).
cnf(refute_1_401,plain,
( h10(e11) != e22
| op2(h10(e11),e21) != h2(e11)
| op2(e22,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),h2(e11)) ),[0,0],$fot(e22)]]) ).
cnf(refute_1_402,plain,
( op2(h10(e11),e21) != h2(e11)
| h10(e11) = e23
| op2(e22,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),e22) )],[refute_1_195,refute_1_401]) ).
cnf(refute_1_403,plain,
( h10(e11) = e23
| op2(e22,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),h2(e11)) )],[refute_1_400,refute_1_402]) ).
cnf(refute_1_404,plain,
( h8(e11) != h10(e11)
| h8(e11) != op2(e22,e21)
| h10(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h8(e11),op2(e22,e21)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_1_405,plain,
( h8(e11) != op2(e22,e21)
| h10(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_1_387,refute_1_404]) ).
cnf(refute_1_406,plain,
h10(e11) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_1_249,refute_1_405]) ).
cnf(refute_1_407,plain,
( h10(e11) != op2(e22,e21)
| op2(e22,e21) = h10(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_1_408,plain,
op2(e22,e21) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e22,e21)) )],[refute_1_406,refute_1_407]) ).
cnf(refute_1_409,plain,
( op2(e22,e21) != h10(e11)
| op2(e22,e21) != h2(e11)
| h10(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),h2(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_1_410,plain,
( op2(e22,e21) != h2(e11)
| h10(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h10(e11)) )],[refute_1_408,refute_1_409]) ).
cnf(refute_1_411,plain,
( h10(e11) = e23
| h10(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h2(e11)) )],[refute_1_403,refute_1_410]) ).
cnf(refute_1_412,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_1_87]) ).
cnf(refute_1_413,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) != h2(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),h2(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_1_414,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_1_327,refute_1_413]) ).
cnf(refute_1_415,plain,
( h2(e11) != h3(e11)
| op2(e20,e23) != h3(e11)
| h2(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_1_416,plain,
( h2(e11) != h3(e11)
| h2(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_1_140,refute_1_415]) ).
cnf(refute_1_417,plain,
( h2(e11) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e23)) )],[refute_1_416,refute_1_414]) ).
cnf(refute_1_418,plain,
h2(e11) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_1_417,refute_1_412]) ).
cnf(refute_1_419,plain,
( h2(e11) != h10(e11)
| h3(e11) != h10(e11)
| h2(e11) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h3(e11)) ),[1],$fot(h10(e11))]]) ).
cnf(refute_1_420,plain,
( h2(e11) != h10(e11)
| h2(e11) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_1_189,refute_1_419]) ).
cnf(refute_1_421,plain,
h2(e11) != h10(e11),
inference(resolve,[$cnf( $equal(h2(e11),h3(e11)) )],[refute_1_420,refute_1_418]) ).
cnf(refute_1_422,plain,
( h10(e11) != h2(e11)
| h2(e11) = h10(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h10(e11))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_1_423,plain,
h10(e11) != h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h10(e11)) )],[refute_1_422,refute_1_421]) ).
cnf(refute_1_424,plain,
h10(e11) = e23,
inference(resolve,[$cnf( $equal(h10(e11),h2(e11)) )],[refute_1_411,refute_1_423]) ).
cnf(refute_1_425,plain,
( h10(e11) != e22
| h10(e11) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h10(e11),e22) ),[0],$fot(e23)]]) ).
cnf(refute_1_426,plain,
( h10(e11) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_1_424,refute_1_425]) ).
cnf(refute_1_427,plain,
( e23 = e22
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(h10(e11),e22) )],[refute_1_201,refute_1_426]) ).
cnf(refute_1_428,plain,
e22 != e23,
inference(canonicalize,[],[normalize_1_88]) ).
cnf(refute_1_429,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_1_430,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_1_429,refute_1_428]) ).
cnf(refute_1_431,plain,
h1(e11) = e21,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_1_427,refute_1_430]) ).
cnf(refute_1_432,plain,
( h1(e11) != e21
| h1(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_1_433,plain,
( h1(e11) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_431,refute_1_432]) ).
cnf(refute_1_434,plain,
e21 = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_1_62,refute_1_433]) ).
cnf(refute_1_435,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_436,plain,
op2(e20,e21) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_1_434,refute_1_435]) ).
cnf(refute_1_437,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_1_89]) ).
cnf(refute_1_438,plain,
h5(e11) = op2(e21,e22),
inference(canonicalize,[],[normalize_1_90]) ).
cnf(refute_1_439,plain,
( h5(e11) != op2(e21,e22)
| op2(e21,e22) = h5(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_1_440,plain,
op2(e21,e22) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e21,e22)) )],[refute_1_438,refute_1_439]) ).
cnf(refute_1_441,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_1_442,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h5(e11))]]) ).
cnf(refute_1_443,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_1_441,refute_1_442]) ).
cnf(refute_1_444,plain,
op2(op2(e21,e22),e22) = op2(h5(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_1_440,refute_1_443]) ).
cnf(refute_1_445,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[0],$fot(op2(h5(e11),e22))]]) ).
cnf(refute_1_446,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h5(e11),e22)) )],[refute_1_444,refute_1_445]) ).
cnf(refute_1_447,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_1_448,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_1_449,plain,
( op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_1_447,refute_1_448]) ).
cnf(refute_1_450,plain,
op2(e21,op2(e22,e22)) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_1_18,refute_1_449]) ).
cnf(refute_1_451,plain,
( op2(e21,op2(e22,e22)) != op2(e21,h12(e10))
| op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_1_452,plain,
( op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,h12(e10))) )],[refute_1_450,refute_1_451]) ).
cnf(refute_1_453,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) )],[refute_1_446,refute_1_452]) ).
cnf(refute_1_454,plain,
op2(h5(e11),e22) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_1_437,refute_1_453]) ).
cnf(refute_1_455,plain,
( h4(e11) != h1(e11)
| h4(e11) != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e20)) ),[0],$fot(h1(e11))]]) ).
cnf(refute_1_456,plain,
( h4(e11) != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_1_133,refute_1_455]) ).
cnf(refute_1_457,plain,
h1(e11) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_1_64,refute_1_456]) ).
cnf(refute_1_458,plain,
( h1(e11) != op2(e21,e20)
| op2(e21,e20) = h1(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_1_459,plain,
op2(e21,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_1_457,refute_1_458]) ).
cnf(refute_1_460,plain,
op2(e21,h12(e10)) = op2(e21,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_1_461,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) != op2(e21,h12(e10))
| op2(e21,h12(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_462,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) )],[refute_1_460,refute_1_461]) ).
cnf(refute_1_463,plain,
op2(e21,h12(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_1_54,refute_1_462]) ).
cnf(refute_1_464,plain,
( op2(e21,e20) != h1(e11)
| op2(e21,h12(e10)) != op2(e21,e20)
| op2(e21,h12(e10)) = h1(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e21,h12(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_1_465,plain,
( op2(e21,e20) != h1(e11)
| op2(e21,h12(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,e20)) )],[refute_1_463,refute_1_464]) ).
cnf(refute_1_466,plain,
op2(e21,h12(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_1_459,refute_1_465]) ).
cnf(refute_1_467,plain,
( op2(e21,h12(e10)) != h1(e11)
| op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_1_468,plain,
( op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),h1(e11)) )],[refute_1_466,refute_1_467]) ).
cnf(refute_1_469,plain,
op2(h5(e11),e22) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) )],[refute_1_454,refute_1_468]) ).
cnf(refute_1_470,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_1_91]) ).
cnf(refute_1_471,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_1_472,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_1_470,refute_1_471]) ).
cnf(refute_1_473,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(canonicalize,[],[normalize_1_92]) ).
cnf(refute_1_474,plain,
op2(op2(e20,e21),e22) = op2(op2(e20,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e21),e22))]]) ).
cnf(refute_1_475,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e22) != op2(op2(e20,e21),e22)
| op2(op2(e20,e21),e22) = op2(h1(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(op2(e20,e21),e22)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_1_476,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e22) = op2(h1(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(op2(e20,e21),e22)) )],[refute_1_474,refute_1_475]) ).
cnf(refute_1_477,plain,
op2(op2(e20,e21),e22) = op2(h1(e11),e22),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_1_106,refute_1_476]) ).
cnf(refute_1_478,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(op2(e20,e21),e22) != op2(h1(e11),e22)
| op2(h1(e11),e22) = op2(e20,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) ),[0],$fot(op2(h1(e11),e22))]]) ).
cnf(refute_1_479,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(h1(e11),e22)) )],[refute_1_477,refute_1_478]) ).
cnf(refute_1_480,plain,
op2(e20,op2(e21,e22)) = op2(e20,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e22)))]]) ).
cnf(refute_1_481,plain,
( op2(e20,op2(e21,e22)) != op2(e20,op2(e21,e22))
| op2(e21,e22) != h5(e11)
| op2(e20,op2(e21,e22)) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) ),[1,1],$fot(h5(e11))]]) ).
cnf(refute_1_482,plain,
( op2(e21,e22) != h5(e11)
| op2(e20,op2(e21,e22)) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) )],[refute_1_480,refute_1_481]) ).
cnf(refute_1_483,plain,
op2(e20,op2(e21,e22)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_1_440,refute_1_482]) ).
cnf(refute_1_484,plain,
( op2(e20,op2(e21,e22)) != op2(e20,h5(e11))
| op2(h1(e11),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(e20,op2(e21,e22))) ),[1],$fot(op2(e20,h5(e11)))]]) ).
cnf(refute_1_485,plain,
( op2(h1(e11),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,h5(e11))) )],[refute_1_483,refute_1_484]) ).
cnf(refute_1_486,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,op2(e21,e22))) )],[refute_1_479,refute_1_485]) ).
cnf(refute_1_487,plain,
op2(h1(e11),e22) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) )],[refute_1_473,refute_1_486]) ).
cnf(refute_1_488,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_1_93]) ).
cnf(refute_1_489,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_1_490,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_1_491,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_1_489,refute_1_490]) ).
cnf(refute_1_492,plain,
op2(op2(e21,e21),e23) = op2(h1(e10),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_1_90,refute_1_491]) ).
cnf(refute_1_493,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h1(e10),e23))]]) ).
cnf(refute_1_494,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h1(e10),e23)) )],[refute_1_492,refute_1_493]) ).
cnf(refute_1_495,plain,
op2(e21,op2(e21,e23)) = op2(e21,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e23)))]]) ).
cnf(refute_1_496,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_1_497,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) )],[refute_1_495,refute_1_496]) ).
cnf(refute_1_498,plain,
op2(e21,op2(e21,e23)) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_1_270,refute_1_497]) ).
cnf(refute_1_499,plain,
( op2(e21,op2(e21,e23)) != op2(e21,h6(e11))
| op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) ),[1],$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_1_500,plain,
( op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h6(e11))) )],[refute_1_498,refute_1_499]) ).
cnf(refute_1_501,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) )],[refute_1_494,refute_1_500]) ).
cnf(refute_1_502,plain,
op2(h1(e10),e23) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_1_488,refute_1_501]) ).
cnf(refute_1_503,plain,
op2(h1(e10),e23) = op2(h1(e10),e23),
introduced(tautology,[refl,[$fot(op2(h1(e10),e23))]]) ).
cnf(refute_1_504,plain,
( h1(e10) != e20
| op2(h1(e10),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_505,plain,
( h1(e10) != e20
| op2(h1(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) )],[refute_1_503,refute_1_504]) ).
cnf(refute_1_506,plain,
op2(h1(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_1_111,refute_1_505]) ).
cnf(refute_1_507,plain,
( op2(e20,e23) != h10(e11)
| op2(h1(e10),e23) != op2(e20,e23)
| op2(h1(e10),e23) = h10(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h1(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_1_508,plain,
( op2(e20,e23) != h10(e11)
| op2(h1(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e20,e23)) )],[refute_1_506,refute_1_507]) ).
cnf(refute_1_509,plain,
op2(h1(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_1_375,refute_1_508]) ).
cnf(refute_1_510,plain,
( op2(h1(e10),e23) != h10(e11)
| op2(h1(e10),e23) != op2(e21,h6(e11))
| h10(e11) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_1_511,plain,
( op2(h1(e10),e23) != op2(e21,h6(e11))
| h10(e11) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),h10(e11)) )],[refute_1_509,refute_1_510]) ).
cnf(refute_1_512,plain,
h10(e11) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) )],[refute_1_502,refute_1_511]) ).
cnf(refute_1_513,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(canonicalize,[],[normalize_1_94]) ).
cnf(refute_1_514,plain,
op2(op2(e21,e20),e22) = op2(op2(e21,e20),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e22))]]) ).
cnf(refute_1_515,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e22) != op2(op2(e21,e20),e22)
| op2(op2(e21,e20),e22) = op2(h4(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e22),op2(op2(e21,e20),e22)) ),[1,0],$fot(h4(e11))]]) ).
cnf(refute_1_516,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e22) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(op2(e21,e20),e22)) )],[refute_1_514,refute_1_515]) ).
cnf(refute_1_517,plain,
op2(op2(e21,e20),e22) = op2(h4(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_1_66,refute_1_516]) ).
cnf(refute_1_518,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(op2(e21,e20),e22) != op2(h4(e11),e22)
| op2(h4(e11),e22) = op2(e21,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e22),op2(e21,op2(e20,e22))) ),[0],$fot(op2(h4(e11),e22))]]) ).
cnf(refute_1_519,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(h4(e11),e22)) )],[refute_1_517,refute_1_518]) ).
cnf(refute_1_520,plain,
op2(e21,op2(e20,e22)) = op2(e21,op2(e20,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e22)))]]) ).
cnf(refute_1_521,plain,
( op2(e20,e22) != h2(e11)
| op2(e21,op2(e20,e22)) != op2(e21,op2(e20,e22))
| op2(e21,op2(e20,e22)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,op2(e20,e22))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_1_522,plain,
( op2(e20,e22) != h2(e11)
| op2(e21,op2(e20,e22)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,op2(e20,e22))) )],[refute_1_520,refute_1_521]) ).
cnf(refute_1_523,plain,
op2(e21,op2(e20,e22)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_1_327,refute_1_522]) ).
cnf(refute_1_524,plain,
( op2(e21,op2(e20,e22)) != op2(e21,h2(e11))
| op2(h4(e11),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(e21,op2(e20,e22))) ),[1],$fot(op2(e21,h2(e11)))]]) ).
cnf(refute_1_525,plain,
( op2(h4(e11),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,h2(e11))) )],[refute_1_523,refute_1_524]) ).
cnf(refute_1_526,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e21,op2(e20,e22))) )],[refute_1_519,refute_1_525]) ).
cnf(refute_1_527,plain,
op2(h4(e11),e22) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(e21,op2(e20,e22))) )],[refute_1_513,refute_1_526]) ).
cnf(refute_1_528,plain,
op2(h4(e11),e22) = op2(h4(e11),e22),
introduced(tautology,[refl,[$fot(op2(h4(e11),e22))]]) ).
cnf(refute_1_529,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e22) != op2(h4(e11),e22)
| op2(h4(e11),e22) = op2(h1(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(h4(e11),e22)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_1_530,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e22) = op2(h1(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(h4(e11),e22)) )],[refute_1_528,refute_1_529]) ).
cnf(refute_1_531,plain,
op2(h4(e11),e22) = op2(h1(e11),e22),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_1_133,refute_1_530]) ).
cnf(refute_1_532,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) != op2(h1(e11),e22)
| op2(h4(e11),e22) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h4(e11),e22))),bind(Y,$fot(op2(h1(e11),e22))),bind(Z,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_1_533,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(h1(e11),e22)) )],[refute_1_531,refute_1_532]) ).
cnf(refute_1_534,plain,
op2(h4(e11),e22) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) )],[refute_1_487,refute_1_533]) ).
cnf(refute_1_535,plain,
( op2(h4(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) != op2(e21,h2(e11))
| op2(e20,h5(e11)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(e21,h2(e11))) ),[0],$fot(op2(e20,h5(e11)))]]) ).
cnf(refute_1_536,plain,
( op2(h4(e11),e22) != op2(e21,h2(e11))
| op2(e20,h5(e11)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e20,h5(e11))) )],[refute_1_534,refute_1_535]) ).
cnf(refute_1_537,plain,
op2(e20,h5(e11)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e21,h2(e11))) )],[refute_1_527,refute_1_536]) ).
cnf(refute_1_538,plain,
( op2(e20,h5(e11)) != op2(e21,h2(e11))
| op2(e21,h2(e11)) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(op2(e20,h5(e11)))),bind(Y,$fot(op2(e21,h2(e11))))]]) ).
cnf(refute_1_539,plain,
op2(e21,h2(e11)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e20,h5(e11)),op2(e21,h2(e11))) )],[refute_1_537,refute_1_538]) ).
cnf(refute_1_540,plain,
op2(e21,h6(e11)) = op2(e21,h6(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_1_541,plain,
( h6(e11) != h2(e11)
| op2(e21,h6(e11)) != op2(e21,h6(e11))
| op2(e21,h6(e11)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_1_542,plain,
( h6(e11) != h2(e11)
| op2(e21,h6(e11)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) )],[refute_1_540,refute_1_541]) ).
cnf(refute_1_543,plain,
op2(e21,h6(e11)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_1_349,refute_1_542]) ).
cnf(refute_1_544,plain,
( op2(e21,h2(e11)) != op2(e20,h5(e11))
| op2(e21,h6(e11)) != op2(e21,h2(e11))
| op2(e21,h6(e11)) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e21,h6(e11)))),bind(Y,$fot(op2(e21,h2(e11)))),bind(Z,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_1_545,plain,
( op2(e21,h2(e11)) != op2(e20,h5(e11))
| op2(e21,h6(e11)) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h2(e11))) )],[refute_1_543,refute_1_544]) ).
cnf(refute_1_546,plain,
op2(e21,h6(e11)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e21,h2(e11)),op2(e20,h5(e11))) )],[refute_1_539,refute_1_545]) ).
cnf(refute_1_547,plain,
( h10(e11) != op2(e21,h6(e11))
| op2(e21,h6(e11)) != op2(e20,h5(e11))
| h10(e11) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),op2(e20,h5(e11))) ),[0],$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_1_548,plain,
( h10(e11) != op2(e21,h6(e11))
| h10(e11) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e20,h5(e11))) )],[refute_1_546,refute_1_547]) ).
cnf(refute_1_549,plain,
h10(e11) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(h10(e11),op2(e21,h6(e11))) )],[refute_1_512,refute_1_548]) ).
cnf(refute_1_550,plain,
( h10(e11) != op2(e20,h5(e11))
| op2(e20,h5(e11)) = h10(e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_1_551,plain,
op2(e20,h5(e11)) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,h5(e11))) )],[refute_1_549,refute_1_550]) ).
cnf(refute_1_552,plain,
( op2(e20,h5(e11)) != h10(e11)
| op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h1(e11),e22) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) ),[1],$fot(h10(e11))]]) ).
cnf(refute_1_553,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h1(e11),e22) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h5(e11)),h10(e11)) )],[refute_1_551,refute_1_552]) ).
cnf(refute_1_554,plain,
op2(h1(e11),e22) = h10(e11),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) )],[refute_1_487,refute_1_553]) ).
cnf(refute_1_555,plain,
op2(h1(e11),e22) = op2(h1(e11),e22),
introduced(tautology,[refl,[$fot(op2(h1(e11),e22))]]) ).
cnf(refute_1_556,plain,
( h1(e11) != e21
| op2(h1(e11),e22) != op2(h1(e11),e22)
| op2(h1(e11),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(h1(e11),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_557,plain,
( h1(e11) != e21
| op2(h1(e11),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(h1(e11),e22)) )],[refute_1_555,refute_1_556]) ).
cnf(refute_1_558,plain,
op2(h1(e11),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_431,refute_1_557]) ).
cnf(refute_1_559,plain,
( op2(e21,e22) != h5(e11)
| op2(h1(e11),e22) != op2(e21,e22)
| op2(h1(e11),e22) = h5(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h1(e11),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_1_560,plain,
( op2(e21,e22) != h5(e11)
| op2(h1(e11),e22) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e21,e22)) )],[refute_1_558,refute_1_559]) ).
cnf(refute_1_561,plain,
op2(h1(e11),e22) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_1_440,refute_1_560]) ).
cnf(refute_1_562,plain,
( op2(h1(e11),e22) != h10(e11)
| op2(h1(e11),e22) != h5(e11)
| h5(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),h10(e11)) ),[0],$fot(h5(e11))]]) ).
cnf(refute_1_563,plain,
( op2(h1(e11),e22) != h10(e11)
| h5(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),h5(e11)) )],[refute_1_561,refute_1_562]) ).
cnf(refute_1_564,plain,
( h10(e11) != e23
| h5(e11) != h10(e11)
| h5(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h5(e11),h10(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_565,plain,
( h5(e11) != h10(e11)
| h5(e11) = e23 ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_1_424,refute_1_564]) ).
cnf(refute_1_566,plain,
( op2(h1(e11),e22) != h10(e11)
| h5(e11) = e23 ),
inference(resolve,[$cnf( $equal(h5(e11),h10(e11)) )],[refute_1_563,refute_1_565]) ).
cnf(refute_1_567,plain,
h5(e11) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),h10(e11)) )],[refute_1_554,refute_1_566]) ).
cnf(refute_1_568,plain,
op2(h5(e11),e22) = op2(h5(e11),e22),
introduced(tautology,[refl,[$fot(op2(h5(e11),e22))]]) ).
cnf(refute_1_569,plain,
( h5(e11) != e23
| op2(h5(e11),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_570,plain,
( h5(e11) != e23
| op2(h5(e11),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) )],[refute_1_568,refute_1_569]) ).
cnf(refute_1_571,plain,
op2(h5(e11),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h5(e11),e23) )],[refute_1_567,refute_1_570]) ).
cnf(refute_1_572,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) != op2(e23,e22)
| op2(h5(e11),e22) = h12(e11) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(h5(e11),e22))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_1_573,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e23,e22)) )],[refute_1_571,refute_1_572]) ).
cnf(refute_1_574,plain,
op2(h5(e11),e22) = h12(e11),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_1_472,refute_1_573]) ).
cnf(refute_1_575,plain,
( op2(h5(e11),e22) != h1(e11)
| op2(h5(e11),e22) != h12(e11)
| h12(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) ),[0],$fot(h12(e11))]]) ).
cnf(refute_1_576,plain,
( op2(h5(e11),e22) != h1(e11)
| h12(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h12(e11)) )],[refute_1_574,refute_1_575]) ).
cnf(refute_1_577,plain,
( h1(e11) != e21
| h12(e11) != h1(e11)
| h12(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h12(e11),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_1_578,plain,
( h12(e11) != h1(e11)
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_1_431,refute_1_577]) ).
cnf(refute_1_579,plain,
( op2(h5(e11),e22) != h1(e11)
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(h12(e11),h1(e11)) )],[refute_1_576,refute_1_578]) ).
cnf(refute_1_580,plain,
h12(e11) = e21,
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) )],[refute_1_469,refute_1_579]) ).
cnf(refute_1_581,plain,
op2(e20,h12(e11)) = op2(e20,h12(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h12(e11)))]]) ).
cnf(refute_1_582,plain,
( h12(e11) != e21
| op2(e20,h12(e11)) != op2(e20,h12(e11))
| op2(e20,h12(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h12(e11)),op2(e20,h12(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_583,plain,
( h12(e11) != e21
| op2(e20,h12(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e11)),op2(e20,h12(e11))) )],[refute_1_581,refute_1_582]) ).
cnf(refute_1_584,plain,
op2(e20,h12(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_1_580,refute_1_583]) ).
cnf(refute_1_585,plain,
( op2(e20,e21) != e21
| op2(e20,h12(e11)) != op2(e20,e21)
| op2(e20,h12(e11)) = e21 ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op2(e20,h12(e11)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_586,plain,
( op2(e20,e21) != e21
| op2(e20,h12(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e11)),op2(e20,e21)) )],[refute_1_584,refute_1_585]) ).
cnf(refute_1_587,plain,
op2(e20,h12(e11)) = e21,
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_1_436,refute_1_586]) ).
cnf(refute_1_588,plain,
( h12(op1(e10,e11)) != e21
| op2(e20,h12(e11)) != e21
| h12(op1(e10,e11)) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e11)),op2(e20,h12(e11))) ),[1],$fot(e21)]]) ).
cnf(refute_1_589,plain,
( h12(op1(e10,e11)) != e21
| h12(op1(e10,e11)) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e11)),e21) )],[refute_1_587,refute_1_588]) ).
cnf(refute_1_590,plain,
h12(op1(e10,e11)) != e21,
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),op2(e20,h12(e11))) )],[refute_1_589,refute_1_61]) ).
cnf(refute_1_591,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(canonicalize,[],[normalize_1_96]) ).
cnf(refute_1_592,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_1_97]) ).
cnf(refute_1_593,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_1_99]) ).
cnf(refute_1_594,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_595,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_1_593,refute_1_594]) ).
cnf(refute_1_596,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_1_597,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_598,plain,
( op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_1_596,refute_1_597]) ).
cnf(refute_1_599,plain,
op1(e11,op1(e13,e13)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_595,refute_1_598]) ).
cnf(refute_1_600,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e10)
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_1_601,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e10)) )],[refute_1_599,refute_1_600]) ).
cnf(refute_1_602,plain,
op1(op1(e11,e13),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_1_592,refute_1_601]) ).
cnf(refute_1_603,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_1_100]) ).
cnf(refute_1_604,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_1_101]) ).
cnf(refute_1_605,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_1_606,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_1_604,refute_1_605]) ).
cnf(refute_1_607,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_1_608,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_609,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_1_607,refute_1_608]) ).
cnf(refute_1_610,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_606,refute_1_609]) ).
cnf(refute_1_611,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_1_612,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_1_610,refute_1_611]) ).
cnf(refute_1_613,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_1_614,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_615,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_1_613,refute_1_614]) ).
cnf(refute_1_616,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_595,refute_1_615]) ).
cnf(refute_1_617,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_1_618,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_1_616,refute_1_617]) ).
cnf(refute_1_619,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_1_612,refute_1_618]) ).
cnf(refute_1_620,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_1_603,refute_1_619]) ).
cnf(refute_1_621,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_1_622,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_1_620,refute_1_621]) ).
cnf(refute_1_623,plain,
op1(op1(e12,e10),e13) = op1(op1(e12,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e10),e13))]]) ).
cnf(refute_1_624,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) != op1(op1(e12,e10),e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_1_625,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) )],[refute_1_623,refute_1_624]) ).
cnf(refute_1_626,plain,
op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_1_622,refute_1_625]) ).
cnf(refute_1_627,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(op1(e11,e13),e13)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(subst,[],[refute_1_15:[bind(X,$fot(op1(op1(e12,e10),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,e10)))]]) ).
cnf(refute_1_628,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e11,e13),e13)) )],[refute_1_626,refute_1_627]) ).
cnf(refute_1_629,plain,
op1(op1(e12,e10),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_1_602,refute_1_628]) ).
cnf(refute_1_630,plain,
( op1(op1(e12,e10),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e11,e10))]]) ).
cnf(refute_1_631,plain,
( op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e11,e10)) )],[refute_1_629,refute_1_630]) ).
cnf(refute_1_632,plain,
op1(e11,e10) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) )],[refute_1_591,refute_1_631]) ).
cnf(refute_1_633,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(canonicalize,[],[normalize_1_102]) ).
cnf(refute_1_634,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_105]) ).
cnf(refute_1_635,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_1_109]) ).
cnf(refute_1_636,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_111]) ).
cnf(refute_1_637,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_638,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_606,refute_1_637]) ).
cnf(refute_1_639,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_1_638,refute_1_636]) ).
cnf(refute_1_640,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_1_635,refute_1_639]) ).
cnf(refute_1_641,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_1_117]) ).
cnf(refute_1_642,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_1_643,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_595,refute_1_642]) ).
cnf(refute_1_644,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_1_641,refute_1_643]) ).
cnf(refute_1_645,plain,
e10 != e13,
inference(canonicalize,[],[normalize_1_119]) ).
cnf(refute_1_646,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_1_644,refute_1_645]) ).
cnf(refute_1_647,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_1_121]) ).
cnf(refute_1_648,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_1_649,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_595,refute_1_648]) ).
cnf(refute_1_650,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_1_647,refute_1_649]) ).
cnf(refute_1_651,plain,
e10 != e12,
inference(canonicalize,[],[normalize_1_122]) ).
cnf(refute_1_652,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_1_650,refute_1_651]) ).
cnf(refute_1_653,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_1_646,refute_1_652]) ).
cnf(refute_1_654,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_1_653,refute_1_640]) ).
cnf(refute_1_655,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_634,refute_1_654]) ).
cnf(refute_1_656,plain,
op1(op1(e11,e11),e11) = op1(op1(e11,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e11))]]) ).
cnf(refute_1_657,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) != op1(op1(e11,e11),e11)
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_658,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) )],[refute_1_656,refute_1_657]) ).
cnf(refute_1_659,plain,
op1(op1(e11,e11),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_655,refute_1_658]) ).
cnf(refute_1_660,plain,
( op1(op1(e11,e11),e11) != op1(e10,e11)
| op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_1_661,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e10,e11)) )],[refute_1_659,refute_1_660]) ).
cnf(refute_1_662,plain,
op1(e11,op1(e11,e11)) = op1(e11,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_1_663,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_664,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) )],[refute_1_662,refute_1_663]) ).
cnf(refute_1_665,plain,
op1(e11,op1(e11,e11)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_1_655,refute_1_664]) ).
cnf(refute_1_666,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_1_667,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,e10)) )],[refute_1_665,refute_1_666]) ).
cnf(refute_1_668,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e11))) )],[refute_1_661,refute_1_667]) ).
cnf(refute_1_669,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) )],[refute_1_633,refute_1_668]) ).
cnf(refute_1_670,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_1_671,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_1_669,refute_1_670]) ).
cnf(refute_1_672,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_1_673,plain,
( op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_1_671,refute_1_672]) ).
cnf(refute_1_674,plain,
op1(e10,e11) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) )],[refute_1_632,refute_1_673]) ).
cnf(refute_1_675,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_1_124]) ).
cnf(refute_1_676,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_1_125]) ).
cnf(refute_1_677,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_1_678,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_1_595,refute_1_677]) ).
cnf(refute_1_679,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_1_678,refute_1_676]) ).
cnf(refute_1_680,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_1_675,refute_1_679]) ).
cnf(refute_1_681,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_126]) ).
cnf(refute_1_682,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_683,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_606,refute_1_682]) ).
cnf(refute_1_684,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_1_683,refute_1_681]) ).
cnf(refute_1_685,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_1_680,refute_1_684]) ).
cnf(refute_1_686,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e13) != e13
| op1(e10,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_687,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_685,refute_1_686]) ).
cnf(refute_1_688,plain,
( op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_1_674,refute_1_687]) ).
cnf(refute_1_689,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e12,e13) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e11) ),[0],$fot(op1(e12,e13))]]) ).
cnf(refute_1_690,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_606,refute_1_689]) ).
cnf(refute_1_691,plain,
( op1(e10,e11) = e11
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e13)) )],[refute_1_688,refute_1_690]) ).
cnf(refute_1_692,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_1_693,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_685,refute_1_692]) ).
cnf(refute_1_694,plain,
( op1(e10,e11) = op1(e12,e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_1_674,refute_1_693]) ).
cnf(refute_1_695,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_127]) ).
cnf(refute_1_696,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_695,refute_1_654]) ).
cnf(refute_1_697,plain,
( op1(e10,e11) != op1(e12,e12)
| op1(e12,e12) != e10
| op1(e10,e11) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e10) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_1_698,plain,
( op1(e10,e11) != op1(e12,e12)
| op1(e10,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_1_696,refute_1_697]) ).
cnf(refute_1_699,plain,
( op1(e10,e11) = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e12)) )],[refute_1_694,refute_1_698]) ).
cnf(refute_1_700,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_1_128]) ).
cnf(refute_1_701,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_1_129]) ).
cnf(refute_1_702,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_1_701,refute_1_654]) ).
cnf(refute_1_703,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_1_704,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_702,refute_1_703]) ).
cnf(refute_1_705,plain,
e10 != op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_1_704,refute_1_700]) ).
cnf(refute_1_706,plain,
( op1(e10,e11) != e10
| e10 = op1(e10,e11) ),
inference(subst,[],[refute_1_6:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(e10))]]) ).
cnf(refute_1_707,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e10,e11)) )],[refute_1_706,refute_1_705]) ).
cnf(refute_1_708,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_1_699,refute_1_707]) ).
cnf(refute_1_709,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_1_710,plain,
( op1(e10,e13) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_1_708,refute_1_709]) ).
cnf(refute_1_711,plain,
( e13 = e12
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_1_691,refute_1_710]) ).
cnf(refute_1_712,plain,
e12 != e13,
inference(canonicalize,[],[normalize_1_130]) ).
cnf(refute_1_713,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_1_6:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_1_714,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_1_713,refute_1_712]) ).
cnf(refute_1_715,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_1_711,refute_1_714]) ).
cnf(refute_1_716,plain,
h12(op1(e10,e11)) = h12(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e11)))]]) ).
cnf(refute_1_717,plain,
( h12(op1(e10,e11)) != h12(op1(e10,e11))
| op1(e10,e11) != e11
| h12(op1(e10,e11)) = h12(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e11)),h12(op1(e10,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_718,plain,
( op1(e10,e11) != e11
| h12(op1(e10,e11)) = h12(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),h12(op1(e10,e11))) )],[refute_1_716,refute_1_717]) ).
cnf(refute_1_719,plain,
h12(op1(e10,e11)) = h12(e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_715,refute_1_718]) ).
cnf(refute_1_720,plain,
( h12(e11) != e21
| h12(op1(e10,e11)) != h12(e11)
| h12(op1(e10,e11)) = e21 ),
inference(subst,[],[refute_1_15:[bind(X,$fot(h12(op1(e10,e11)))),bind(Y,$fot(h12(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_721,plain,
( h12(e11) != e21
| h12(op1(e10,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),h12(e11)) )],[refute_1_719,refute_1_720]) ).
cnf(refute_1_722,plain,
h12(op1(e10,e11)) = e21,
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_1_580,refute_1_721]) ).
cnf(refute_1_723,plain,
( e21 != e21
| h12(op1(e10,e11)) != e21
| h12(op1(e10,e11)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e11)),e21) ),[1],$fot(e21)]]) ).
cnf(refute_1_724,plain,
( e21 != e21
| h12(op1(e10,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),e21) )],[refute_1_722,refute_1_723]) ).
cnf(refute_1_725,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),e21) )],[refute_1_724,refute_1_590]) ).
cnf(refute_1_726,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_1_727,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_1_726,refute_1_725]) ).
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))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11)) )
=> h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_2_1,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_2_3,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_2_5,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_6,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_2_7,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_8,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_2_9,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_10,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_2_11,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_12,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_13,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_14,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_2_15,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_16,plain,
op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_17,plain,
h10(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_18,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_2_19,plain,
h4(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_2_18]) ).
fof(normalize_2_20,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_2_21,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_2_20]) ).
fof(normalize_2_22,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_2_21]) ).
fof(normalize_2_23,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_2_24,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_2_23,normalize_2_20]) ).
fof(normalize_2_25,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_2_24]) ).
fof(normalize_2_26,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_2_25]) ).
fof(normalize_2_27,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,[],[ax18]) ).
fof(normalize_2_28,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_29,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_2_30,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_2_29,normalize_2_24,normalize_2_20]) ).
fof(normalize_2_31,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_2_32,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_2_30,normalize_2_31]) ).
fof(normalize_2_33,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_2_32]) ).
fof(normalize_2_34,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_2_33]) ).
fof(normalize_2_35,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_2_36,plain,
e20 != e23,
inference(conjunct,[],[normalize_2_35]) ).
fof(normalize_2_37,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_2_31]) ).
fof(normalize_2_38,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_39,plain,
e20 != e22,
inference(conjunct,[],[normalize_2_35]) ).
fof(normalize_2_40,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_2_41,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_2_40]) ).
fof(normalize_2_42,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_43,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_44,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_45,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_2_27]) ).
fof(normalize_2_46,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_2_21]) ).
fof(normalize_2_47,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_48,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_2_49,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_2_48]) ).
fof(normalize_2_50,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_2_48]) ).
fof(normalize_2_51,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_52,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_53,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_2_54,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_2_53]) ).
fof(normalize_2_55,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_2_53]) ).
fof(normalize_2_56,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_57,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_2_4]) ).
fof(normalize_2_58,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_59,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_2_10]) ).
fof(normalize_2_60,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_2_18]) ).
fof(normalize_2_61,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_2_18]) ).
fof(normalize_2_62,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_2_63,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_2_62]) ).
fof(normalize_2_64,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_2_62]) ).
fof(normalize_2_65,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_2_66,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_2_65]) ).
fof(normalize_2_67,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_2_65]) ).
fof(normalize_2_68,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_2_69,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_2_68]) ).
fof(normalize_2_70,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_2_68]) ).
fof(normalize_2_71,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_72,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_2_6]) ).
fof(normalize_2_73,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_2_74,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_2_73]) ).
fof(normalize_2_75,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_2_73]) ).
fof(normalize_2_76,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_2_47,normalize_2_49,normalize_2_50,normalize_2_51,normalize_2_52,normalize_2_54,normalize_2_55,normalize_2_56,normalize_2_57,normalize_2_58,normalize_2_59,normalize_2_60,normalize_2_61,normalize_2_63,normalize_2_64,normalize_2_66,normalize_2_67,normalize_2_69,normalize_2_70,normalize_2_71,normalize_2_72,normalize_2_74,normalize_2_75]) ).
fof(normalize_2_77,plain,
h12(op1(e10,e12)) != op2(h12(e10),h12(e12)),
inference(conjunct,[],[normalize_2_76]) ).
fof(normalize_2_78,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_79,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_80,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_2_79]) ).
fof(normalize_2_81,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,[],[ax17]) ).
fof(normalize_2_82,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_81]) ).
fof(normalize_2_83,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_2_84,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_2_83]) ).
fof(normalize_2_85,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_2_81]) ).
fof(normalize_2_86,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_2_83]) ).
fof(normalize_2_87,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_2_88,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_2_87]) ).
fof(normalize_2_89,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_2_90,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_2_89]) ).
fof(normalize_2_91,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_2_90]) ).
fof(normalize_2_92,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_2_93,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_2_92,normalize_2_89]) ).
fof(normalize_2_94,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_2_93]) ).
fof(normalize_2_95,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_2_94]) ).
fof(normalize_2_96,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_2_81]) ).
fof(normalize_2_97,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_2_98,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_2_97,normalize_2_93,normalize_2_89]) ).
fof(normalize_2_99,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_2_100,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_2_98,normalize_2_99]) ).
fof(normalize_2_101,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_2_100]) ).
fof(normalize_2_102,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_2_101]) ).
fof(normalize_2_103,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_2_104,plain,
e10 != e13,
inference(conjunct,[],[normalize_2_103]) ).
fof(normalize_2_105,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_2_99]) ).
fof(normalize_2_106,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_2_105]) ).
fof(normalize_2_107,plain,
e10 != e12,
inference(conjunct,[],[normalize_2_103]) ).
fof(normalize_2_108,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_2_87]) ).
fof(normalize_2_109,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_2_81]) ).
fof(normalize_2_110,plain,
op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13)),
inference(conjunct,[],[normalize_2_87]) ).
fof(normalize_2_111,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_2_90]) ).
fof(normalize_2_112,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_2_79]) ).
fof(normalize_2_113,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_81]) ).
fof(normalize_2_114,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_2_81]) ).
fof(normalize_2_115,plain,
op1(e12,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_2_81]) ).
cnf(refute_2_0,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_2_5]) ).
cnf(refute_2_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_3,refute_2_4]) ).
cnf(refute_2_6,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_2_7,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_2_2,refute_2_6]) ).
cnf(refute_2_8,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_2_9,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_2_7,refute_2_8]) ).
cnf(refute_2_10,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_2_1,refute_2_9]) ).
cnf(refute_2_11,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_2_12,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_2_10,refute_2_11]) ).
cnf(refute_2_13,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_14,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_5,refute_2_13]) ).
cnf(refute_2_15,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_2_16,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_2_7,refute_2_15]) ).
cnf(refute_2_17,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_2_12,refute_2_16]) ).
cnf(refute_2_18,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_2_19,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_2_20,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_2_18,refute_2_19]) ).
cnf(refute_2_21,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_2_17,refute_2_20]) ).
cnf(refute_2_22,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_2_23,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_2_21,refute_2_22]) ).
cnf(refute_2_24,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_25,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_2_26,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_2_24,refute_2_25]) ).
cnf(refute_2_27,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_28,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_2_29,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_2_27,refute_2_28]) ).
cnf(refute_2_30,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_2_31,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_32,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_2_30,refute_2_31]) ).
cnf(refute_2_33,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_2_29,refute_2_32]) ).
cnf(refute_2_34,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_2_35,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_2_33,refute_2_34]) ).
cnf(refute_2_36,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_2_26,refute_2_35]) ).
cnf(refute_2_37,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_2_38,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_2_36,refute_2_37]) ).
cnf(refute_2_39,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_2_23,refute_2_38]) ).
cnf(refute_2_40,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_2_0,refute_2_39]) ).
cnf(refute_2_41,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_42,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_43,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_44,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_2_41,refute_2_43]) ).
cnf(refute_2_45,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_46,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_47,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_2_45,refute_2_46]) ).
cnf(refute_2_48,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_2_49,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_50,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_2_48,refute_2_49]) ).
cnf(refute_2_51,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_47,refute_2_50]) ).
cnf(refute_2_52,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_2_53,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_2_51,refute_2_52]) ).
cnf(refute_2_54,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_44,refute_2_53]) ).
cnf(refute_2_55,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_56,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_2_54,refute_2_55]) ).
cnf(refute_2_57,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_58,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_2_59,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_2_57,refute_2_58]) ).
cnf(refute_2_60,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_2_61,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_62,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_2_60,refute_2_61]) ).
cnf(refute_2_63,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_47,refute_2_62]) ).
cnf(refute_2_64,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_2_65,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_2_63,refute_2_64]) ).
cnf(refute_2_66,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_2_59,refute_2_65]) ).
cnf(refute_2_67,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_2_68,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_2_66,refute_2_67]) ).
cnf(refute_2_69,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_2_56,refute_2_68]) ).
cnf(refute_2_70,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_2_42,refute_2_69]) ).
cnf(refute_2_71,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_2_72,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_2_70,refute_2_71]) ).
cnf(refute_2_73,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_2_41,refute_2_72]) ).
cnf(refute_2_74,plain,
op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20)),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_75,plain,
h10(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_17]) ).
cnf(refute_2_76,plain,
h4(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_19]) ).
cnf(refute_2_77,plain,
( h4(e10) != op2(e20,e20)
| op2(e20,e20) = h4(e10) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_78,plain,
op2(e20,e20) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e20)) )],[refute_2_76,refute_2_77]) ).
cnf(refute_2_79,plain,
( h10(e10) != op2(e20,e20)
| op2(e20,e20) != h4(e10)
| h10(e10) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e10),h4(e10)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_2_80,plain,
( h10(e10) != op2(e20,e20)
| h10(e10) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_2_78,refute_2_79]) ).
cnf(refute_2_81,plain,
h10(e10) = h4(e10),
inference(resolve,[$cnf( $equal(h10(e10),op2(e20,e20)) )],[refute_2_75,refute_2_80]) ).
cnf(refute_2_82,plain,
( h10(e10) != h4(e10)
| h4(e10) = h10(e10) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h10(e10))),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_2_83,plain,
h4(e10) = h10(e10),
inference(resolve,[$cnf( $equal(h10(e10),h4(e10)) )],[refute_2_81,refute_2_82]) ).
cnf(refute_2_84,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) != h4(e10)
| op2(e20,e20) = h10(e10) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h10(e10)))]]) ).
cnf(refute_2_85,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) = h10(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_2_78,refute_2_84]) ).
cnf(refute_2_86,plain,
op2(e20,e20) = h10(e10),
inference(resolve,[$cnf( $equal(h4(e10),h10(e10)) )],[refute_2_83,refute_2_85]) ).
cnf(refute_2_87,plain,
op2(op2(e23,e23),e20) = op2(op2(e23,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e20))]]) ).
cnf(refute_2_88,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e20) != op2(op2(e23,e23),e20)
| op2(op2(e23,e23),e20) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e20),op2(op2(e23,e23),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_89,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e20) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e20),op2(op2(e23,e23),e20)) )],[refute_2_87,refute_2_88]) ).
cnf(refute_2_90,plain,
op2(op2(e23,e23),e20) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_47,refute_2_89]) ).
cnf(refute_2_91,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e23,e23),e20) != op2(e20,e20)
| op2(op2(e23,e23),e20) = h10(e10) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(op2(e23,e23),e20))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h10(e10)))]]) ).
cnf(refute_2_92,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e23,e23),e20) = h10(e10) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e20),op2(e20,e20)) )],[refute_2_90,refute_2_91]) ).
cnf(refute_2_93,plain,
op2(op2(e23,e23),e20) = h10(e10),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_2_86,refute_2_92]) ).
cnf(refute_2_94,plain,
( op2(op2(e23,e23),e20) != h10(e10)
| op2(op2(e23,e23),e20) != op2(e23,op2(e23,e20))
| h10(e10) = op2(e23,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e20),op2(e23,op2(e23,e20))) ),[0],$fot(h10(e10))]]) ).
cnf(refute_2_95,plain,
( op2(op2(e23,e23),e20) != op2(e23,op2(e23,e20))
| h10(e10) = op2(e23,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e20),h10(e10)) )],[refute_2_93,refute_2_94]) ).
cnf(refute_2_96,plain,
op2(e23,op2(e23,e20)) = op2(e23,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e20)))]]) ).
cnf(refute_2_97,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e20)) != op2(e23,op2(e23,e20))
| op2(e23,op2(e23,e20)) = op2(e23,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e20)),op2(e23,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_2_98,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e20)) = op2(e23,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e20)),op2(e23,op2(e23,e20))) )],[refute_2_96,refute_2_97]) ).
cnf(refute_2_99,plain,
op2(e23,op2(e23,e20)) = op2(e23,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_2_59,refute_2_98]) ).
cnf(refute_2_100,plain,
( h10(e10) != op2(e23,op2(e23,e20))
| op2(e23,op2(e23,e20)) != op2(e23,h10(e11))
| h10(e10) = op2(e23,h10(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e10),op2(e23,h10(e11))) ),[0],$fot(op2(e23,op2(e23,e20)))]]) ).
cnf(refute_2_101,plain,
( h10(e10) != op2(e23,op2(e23,e20))
| h10(e10) = op2(e23,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e20)),op2(e23,h10(e11))) )],[refute_2_99,refute_2_100]) ).
cnf(refute_2_102,plain,
( op2(op2(e23,e23),e20) != op2(e23,op2(e23,e20))
| h10(e10) = op2(e23,h10(e11)) ),
inference(resolve,[$cnf( $equal(h10(e10),op2(e23,op2(e23,e20))) )],[refute_2_95,refute_2_101]) ).
cnf(refute_2_103,plain,
h10(e10) = op2(e23,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e20),op2(e23,op2(e23,e20))) )],[refute_2_74,refute_2_102]) ).
cnf(refute_2_104,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_2_22]) ).
cnf(refute_2_105,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h10(e10)
| h10(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h10(e10))]]) ).
cnf(refute_2_106,plain,
( op2(e20,e20) != e20
| h10(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_2_86,refute_2_105]) ).
cnf(refute_2_107,plain,
( h10(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_104,refute_2_106]) ).
cnf(refute_2_108,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_109,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_2_110,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_2_17,refute_2_109]) ).
cnf(refute_2_111,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_2_108,refute_2_110]) ).
cnf(refute_2_112,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_2_28]) ).
cnf(refute_2_113,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_2_114,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_2_17,refute_2_113]) ).
cnf(refute_2_115,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_116,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_2_29,refute_2_115]) ).
cnf(refute_2_117,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_2_116,refute_2_114]) ).
cnf(refute_2_118,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_2_117,refute_2_112]) ).
cnf(refute_2_119,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_2_111,refute_2_118]) ).
cnf(refute_2_120,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_2_34]) ).
cnf(refute_2_121,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_2_122,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_47,refute_2_121]) ).
cnf(refute_2_123,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_2_120,refute_2_122]) ).
cnf(refute_2_124,plain,
e20 != e23,
inference(canonicalize,[],[normalize_2_36]) ).
cnf(refute_2_125,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_2_123,refute_2_124]) ).
cnf(refute_2_126,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_2_38]) ).
cnf(refute_2_127,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_2_128,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_47,refute_2_127]) ).
cnf(refute_2_129,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_2_126,refute_2_128]) ).
cnf(refute_2_130,plain,
e20 != e22,
inference(canonicalize,[],[normalize_2_39]) ).
cnf(refute_2_131,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_129,refute_2_130]) ).
cnf(refute_2_132,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_2_125,refute_2_131]) ).
cnf(refute_2_133,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_2_132,refute_2_119]) ).
cnf(refute_2_134,plain,
h10(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_2_107,refute_2_133]) ).
cnf(refute_2_135,plain,
( h10(e10) != e20
| h10(e10) != op2(e23,h10(e11))
| e20 = op2(e23,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h10(e10),op2(e23,h10(e11))) ),[0],$fot(e20)]]) ).
cnf(refute_2_136,plain,
( h10(e10) != op2(e23,h10(e11))
| e20 = op2(e23,h10(e11)) ),
inference(resolve,[$cnf( $equal(h10(e10),e20) )],[refute_2_134,refute_2_135]) ).
cnf(refute_2_137,plain,
e20 = op2(e23,h10(e11)),
inference(resolve,[$cnf( $equal(h10(e10),op2(e23,h10(e11))) )],[refute_2_103,refute_2_136]) ).
cnf(refute_2_138,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_2_41]) ).
cnf(refute_2_139,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_140,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_44,refute_2_139]) ).
cnf(refute_2_141,plain,
( h3(e11) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_2_138,refute_2_140]) ).
cnf(refute_2_142,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_143,plain,
( op2(e20,e23) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_44,refute_2_142]) ).
cnf(refute_2_144,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_2_141,refute_2_143]) ).
cnf(refute_2_145,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_146,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_44,refute_2_145]) ).
cnf(refute_2_147,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_2_144,refute_2_146]) ).
cnf(refute_2_148,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_2_149,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_44,refute_2_148]) ).
cnf(refute_2_150,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_147,refute_2_149]) ).
cnf(refute_2_151,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_42]) ).
cnf(refute_2_152,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_2_153,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_44,refute_2_152]) ).
cnf(refute_2_154,plain,
( h3(e11) != e20
| op2(e23,e23) != e20
| h3(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_2_155,plain,
( h3(e11) != e20
| h3(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_47,refute_2_154]) ).
cnf(refute_2_156,plain,
( h3(e11) != e20
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e23)) )],[refute_2_155,refute_2_153]) ).
cnf(refute_2_157,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_2_156,refute_2_151]) ).
cnf(refute_2_158,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_2_150,refute_2_157]) ).
cnf(refute_2_159,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_160,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_2_161,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_2_44,refute_2_160]) ).
cnf(refute_2_162,plain,
( h3(e11) != e21
| op2(e22,e23) != e21
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_2_163,plain,
( h3(e11) != e21
| h3(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_2_29,refute_2_162]) ).
cnf(refute_2_164,plain,
( h3(e11) != e21
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_2_163,refute_2_161]) ).
cnf(refute_2_165,plain,
h3(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_2_164,refute_2_159]) ).
cnf(refute_2_166,plain,
( h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_2_158,refute_2_165]) ).
cnf(refute_2_167,plain,
( h3(e11) != e22
| h3(e11) != h10(e11)
| h10(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(h10(e11))]]) ).
cnf(refute_2_168,plain,
( h3(e11) != e22
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_2_70,refute_2_167]) ).
cnf(refute_2_169,plain,
( h10(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_2_166,refute_2_168]) ).
cnf(refute_2_170,plain,
( h3(e11) != e23
| h3(e11) != h10(e11)
| h10(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(h10(e11))]]) ).
cnf(refute_2_171,plain,
( h3(e11) != e23
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_2_70,refute_2_170]) ).
cnf(refute_2_172,plain,
( h10(e11) = e22
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_2_169,refute_2_171]) ).
cnf(refute_2_173,plain,
( e20 != op2(e23,h10(e11))
| h10(e11) != e22
| e20 = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e23,h10(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_174,plain,
( e20 != op2(e23,h10(e11))
| e20 = op2(e23,e22)
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h10(e11),e22) )],[refute_2_172,refute_2_173]) ).
cnf(refute_2_175,plain,
( e20 = op2(e23,e22)
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,h10(e11))) )],[refute_2_137,refute_2_174]) ).
cnf(refute_2_176,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_2_44]) ).
cnf(refute_2_177,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_2_178,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_2_176,refute_2_177]) ).
cnf(refute_2_179,plain,
( e20 != op2(e23,e22)
| op2(e23,e22) != h12(e11)
| e20 = h12(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h12(e11)) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_2_180,plain,
( e20 != op2(e23,e22)
| e20 = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_2_178,refute_2_179]) ).
cnf(refute_2_181,plain,
( e20 = h12(e11)
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e22)) )],[refute_2_175,refute_2_180]) ).
cnf(refute_2_182,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_45]) ).
cnf(refute_2_183,plain,
( h12(e11) != op2(e23,e23)
| op2(e23,e22) != h12(e11)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),h12(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_2_184,plain,
( h12(e11) != op2(e23,e23)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_2_178,refute_2_183]) ).
cnf(refute_2_185,plain,
( h12(e11) != e20
| op2(e23,e23) != e20
| h12(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_2_186,plain,
( h12(e11) != e20
| h12(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_2_47,refute_2_185]) ).
cnf(refute_2_187,plain,
( h12(e11) != e20
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e23)) )],[refute_2_186,refute_2_184]) ).
cnf(refute_2_188,plain,
h12(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_2_187,refute_2_182]) ).
cnf(refute_2_189,plain,
( e20 != h12(e11)
| h12(e11) = e20 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e20)),bind(Y,$fot(h12(e11)))]]) ).
cnf(refute_2_190,plain,
e20 != h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),e20) )],[refute_2_189,refute_2_188]) ).
cnf(refute_2_191,plain,
h10(e11) = e23,
inference(resolve,[$cnf( $equal(e20,h12(e11)) )],[refute_2_181,refute_2_190]) ).
cnf(refute_2_192,plain,
( h10(e11) != e23
| h10(e11) != op2(e20,e23)
| e23 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h10(e11),op2(e20,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_2_193,plain,
( h10(e11) != op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_2_191,refute_2_192]) ).
cnf(refute_2_194,plain,
e23 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_2_73,refute_2_193]) ).
cnf(refute_2_195,plain,
( e23 != op2(e20,e23)
| op2(e20,e23) = e23 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_196,plain,
op2(e20,e23) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e23)) )],[refute_2_194,refute_2_195]) ).
cnf(refute_2_197,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_2_46]) ).
cnf(refute_2_198,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_2_199,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_2_17,refute_2_198]) ).
cnf(refute_2_200,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_2_197,refute_2_199]) ).
cnf(refute_2_201,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_2_200,refute_2_133]) ).
cnf(refute_2_202,plain,
op2(h12(e10),e23) = op2(h12(e10),e23),
introduced(tautology,[refl,[$fot(op2(h12(e10),e23))]]) ).
cnf(refute_2_203,plain,
( h12(e10) != e20
| op2(h12(e10),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_204,plain,
( h12(e10) != e20
| op2(h12(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) )],[refute_2_202,refute_2_203]) ).
cnf(refute_2_205,plain,
op2(h12(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_2_201,refute_2_204]) ).
cnf(refute_2_206,plain,
( op2(e20,e23) != e23
| op2(h12(e10),e23) != op2(e20,e23)
| op2(h12(e10),e23) = e23 ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(h12(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e23))]]) ).
cnf(refute_2_207,plain,
( op2(e20,e23) != e23
| op2(h12(e10),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e20,e23)) )],[refute_2_205,refute_2_206]) ).
cnf(refute_2_208,plain,
op2(h12(e10),e23) = e23,
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_2_196,refute_2_207]) ).
cnf(refute_2_209,plain,
( op2(h12(e10),e23) != e23
| op2(h12(e10),e23) != h8(e11)
| e23 = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_2_210,plain,
( op2(h12(e10),e23) != h8(e11)
| e23 = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),e23) )],[refute_2_208,refute_2_209]) ).
cnf(refute_2_211,plain,
e23 = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_2_40,refute_2_210]) ).
cnf(refute_2_212,plain,
h12(op1(e10,e12)) != op2(h12(e10),h12(e12)),
inference(canonicalize,[],[normalize_2_77]) ).
cnf(refute_2_213,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_2_78]) ).
cnf(refute_2_214,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_2_215,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_216,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) )],[refute_2_214,refute_2_215]) ).
cnf(refute_2_217,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_2_213,refute_2_216]) ).
cnf(refute_2_218,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) != op2(h12(e10),e23)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op2(h12(e10),h12(e12)))),bind(Y,$fot(op2(h12(e10),e23))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_2_219,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),e23)) )],[refute_2_217,refute_2_218]) ).
cnf(refute_2_220,plain,
op2(h12(e10),h12(e12)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_2_40,refute_2_219]) ).
cnf(refute_2_221,plain,
( h12(op1(e10,e12)) != h8(e11)
| op2(h12(e10),h12(e12)) != h8(e11)
| h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),op2(h12(e10),h12(e12))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_2_222,plain,
( h12(op1(e10,e12)) != h8(e11)
| h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),h8(e11)) )],[refute_2_220,refute_2_221]) ).
cnf(refute_2_223,plain,
h12(op1(e10,e12)) != h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),op2(h12(e10),h12(e12))) )],[refute_2_222,refute_2_212]) ).
cnf(refute_2_224,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_2_80]) ).
cnf(refute_2_225,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_82]) ).
cnf(refute_2_226,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_2_84]) ).
cnf(refute_2_227,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_228,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_2_226,refute_2_227]) ).
cnf(refute_2_229,plain,
( op1(e11,e13) != e10
| op1(e13,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_230,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_228,refute_2_229]) ).
cnf(refute_2_231,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_2_230,refute_2_225]) ).
cnf(refute_2_232,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_2_224,refute_2_231]) ).
cnf(refute_2_233,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_85]) ).
cnf(refute_2_234,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_2_86]) ).
cnf(refute_2_235,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_2_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_2_236,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_2_234,refute_2_235]) ).
cnf(refute_2_237,plain,
( op1(e11,e13) != e11
| op1(e12,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_238,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_236,refute_2_237]) ).
cnf(refute_2_239,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_2_238,refute_2_233]) ).
cnf(refute_2_240,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_2_232,refute_2_239]) ).
cnf(refute_2_241,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_2_88]) ).
cnf(refute_2_242,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_2_91]) ).
cnf(refute_2_243,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_2_95]) ).
cnf(refute_2_244,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_96]) ).
cnf(refute_2_245,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_246,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_236,refute_2_245]) ).
cnf(refute_2_247,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_2_246,refute_2_244]) ).
cnf(refute_2_248,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_2_243,refute_2_247]) ).
cnf(refute_2_249,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_2_102]) ).
cnf(refute_2_250,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_2_251,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_228,refute_2_250]) ).
cnf(refute_2_252,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_2_249,refute_2_251]) ).
cnf(refute_2_253,plain,
e10 != e13,
inference(canonicalize,[],[normalize_2_104]) ).
cnf(refute_2_254,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_2_252,refute_2_253]) ).
cnf(refute_2_255,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_2_106]) ).
cnf(refute_2_256,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_2_257,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_228,refute_2_256]) ).
cnf(refute_2_258,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_2_255,refute_2_257]) ).
cnf(refute_2_259,plain,
e10 != e12,
inference(canonicalize,[],[normalize_2_107]) ).
cnf(refute_2_260,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_2_258,refute_2_259]) ).
cnf(refute_2_261,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_2_254,refute_2_260]) ).
cnf(refute_2_262,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_2_261,refute_2_248]) ).
cnf(refute_2_263,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_2_242,refute_2_262]) ).
cnf(refute_2_264,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_2_265,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_2_266,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_2_264,refute_2_265]) ).
cnf(refute_2_267,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_2_263,refute_2_266]) ).
cnf(refute_2_268,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_269,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_2_267,refute_2_268]) ).
cnf(refute_2_270,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_2_108]) ).
cnf(refute_2_271,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_2_272,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_2_273,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_2_271,refute_2_272]) ).
cnf(refute_2_274,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_236,refute_2_273]) ).
cnf(refute_2_275,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_2_276,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_2_274,refute_2_275]) ).
cnf(refute_2_277,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_2_278,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_2_279,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_2_277,refute_2_278]) ).
cnf(refute_2_280,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_228,refute_2_279]) ).
cnf(refute_2_281,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_2_282,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_2_280,refute_2_281]) ).
cnf(refute_2_283,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_2_276,refute_2_282]) ).
cnf(refute_2_284,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_2_270,refute_2_283]) ).
cnf(refute_2_285,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_2_286,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_2_284,refute_2_285]) ).
cnf(refute_2_287,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_2_288,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_2_289,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_2_287,refute_2_288]) ).
cnf(refute_2_290,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_2_263,refute_2_289]) ).
cnf(refute_2_291,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_2_14:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_2_292,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_2_290,refute_2_291]) ).
cnf(refute_2_293,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_2_286,refute_2_292]) ).
cnf(refute_2_294,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_2_295,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_2_293,refute_2_294]) ).
cnf(refute_2_296,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_2_269,refute_2_295]) ).
cnf(refute_2_297,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_2_241,refute_2_296]) ).
cnf(refute_2_298,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_2_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_2_299,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_2_297,refute_2_298]) ).
cnf(refute_2_300,plain,
( op1(e11,e13) != e12
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_301,plain,
( op1(e11,e13) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_2_299,refute_2_300]) ).
cnf(refute_2_302,plain,
( op1(e10,e12) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_2_240,refute_2_301]) ).
cnf(refute_2_303,plain,
( op1(e11,e13) != e13
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_304,plain,
( op1(e11,e13) != e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_2_299,refute_2_303]) ).
cnf(refute_2_305,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_2_302,refute_2_304]) ).
cnf(refute_2_306,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_2_109]) ).
cnf(refute_2_307,plain,
op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13)),
inference(canonicalize,[],[normalize_2_110]) ).
cnf(refute_2_308,plain,
op1(e10,op1(e13,e13)) = op1(e10,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e13,e13)))]]) ).
cnf(refute_2_309,plain,
( op1(e10,op1(e13,e13)) != op1(e10,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e10,op1(e13,e13)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_2_310,plain,
( op1(e13,e13) != e10
| op1(e10,op1(e13,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,op1(e13,e13))) )],[refute_2_308,refute_2_309]) ).
cnf(refute_2_311,plain,
op1(e10,op1(e13,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_228,refute_2_310]) ).
cnf(refute_2_312,plain,
( op1(e10,op1(e13,e13)) != op1(e10,e10)
| op1(op1(e10,e13),e13) != op1(e10,op1(e13,e13))
| op1(op1(e10,e13),e13) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),e13),op1(e10,op1(e13,e13))) ),[1],$fot(op1(e10,e10))]]) ).
cnf(refute_2_313,plain,
( op1(op1(e10,e13),e13) != op1(e10,op1(e13,e13))
| op1(op1(e10,e13),e13) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e13)),op1(e10,e10)) )],[refute_2_311,refute_2_312]) ).
cnf(refute_2_314,plain,
op1(op1(e10,e13),e13) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e13),op1(e10,op1(e13,e13))) )],[refute_2_307,refute_2_313]) ).
cnf(refute_2_315,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_2_111]) ).
cnf(refute_2_316,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_2_315,refute_2_262]) ).
cnf(refute_2_317,plain,
( op1(e10,e10) != e10
| op1(op1(e10,e13),e13) != op1(e10,e10)
| op1(op1(e10,e13),e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),e13),op1(e10,e10)) ),[1],$fot(e10)]]) ).
cnf(refute_2_318,plain,
( op1(op1(e10,e13),e13) != op1(e10,e10)
| op1(op1(e10,e13),e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_2_316,refute_2_317]) ).
cnf(refute_2_319,plain,
op1(op1(e10,e13),e13) = e10,
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e13),op1(e10,e10)) )],[refute_2_314,refute_2_318]) ).
cnf(refute_2_320,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_2_112]) ).
cnf(refute_2_321,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_113]) ).
cnf(refute_2_322,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_323,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_228,refute_2_322]) ).
cnf(refute_2_324,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_2_323,refute_2_321]) ).
cnf(refute_2_325,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_2_320,refute_2_324]) ).
cnf(refute_2_326,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_2_114]) ).
cnf(refute_2_327,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_2_328,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_236,refute_2_327]) ).
cnf(refute_2_329,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_2_328,refute_2_326]) ).
cnf(refute_2_330,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_2_325,refute_2_329]) ).
cnf(refute_2_331,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),e13) != e10
| op1(e12,e13) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),e13),e10) ),[0,0],$fot(e12)]]) ).
cnf(refute_2_332,plain,
( op1(op1(e10,e13),e13) != e10
| op1(e10,e13) = e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_2_330,refute_2_331]) ).
cnf(refute_2_333,plain,
( op1(e10,e13) = e13
| op1(e12,e13) = e10 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e13),e10) )],[refute_2_319,refute_2_332]) ).
cnf(refute_2_334,plain,
( op1(e12,e13) != e10
| op1(e12,e13) != e11
| e11 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e10) ),[0],$fot(e11)]]) ).
cnf(refute_2_335,plain,
( op1(e12,e13) != e10
| e11 = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_236,refute_2_334]) ).
cnf(refute_2_336,plain,
( e11 = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_2_333,refute_2_335]) ).
cnf(refute_2_337,plain,
op1(e12,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_115]) ).
cnf(refute_2_338,plain,
( e11 != op1(e13,e13)
| op1(e12,e13) != e11
| op1(e12,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e11) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_2_339,plain,
( e11 != op1(e13,e13)
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_236,refute_2_338]) ).
cnf(refute_2_340,plain,
( e11 != e10
| op1(e13,e13) != e10
| e11 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_341,plain,
( e11 != e10
| e11 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_228,refute_2_340]) ).
cnf(refute_2_342,plain,
( e11 != e10
| op1(e12,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(e11,op1(e13,e13)) )],[refute_2_341,refute_2_339]) ).
cnf(refute_2_343,plain,
e11 != e10,
inference(resolve,[$cnf( $equal(op1(e12,e13),op1(e13,e13)) )],[refute_2_342,refute_2_337]) ).
cnf(refute_2_344,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_2_336,refute_2_343]) ).
cnf(refute_2_345,plain,
( op1(e10,e12) != e13
| op1(e10,e13) != e13
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_2_346,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_2_344,refute_2_345]) ).
cnf(refute_2_347,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_2_346,refute_2_306]) ).
cnf(refute_2_348,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_2_305,refute_2_347]) ).
cnf(refute_2_349,plain,
h12(op1(e10,e12)) = h12(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e12)))]]) ).
cnf(refute_2_350,plain,
( h12(op1(e10,e12)) != h12(op1(e10,e12))
| op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_2_351,plain,
( op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) )],[refute_2_349,refute_2_350]) ).
cnf(refute_2_352,plain,
h12(op1(e10,e12)) = h12(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_348,refute_2_351]) ).
cnf(refute_2_353,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) != h12(e12)
| h12(op1(e10,e12)) = e23 ),
inference(subst,[],[refute_2_14:[bind(X,$fot(h12(op1(e10,e12)))),bind(Y,$fot(h12(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_2_354,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(e12)) )],[refute_2_352,refute_2_353]) ).
cnf(refute_2_355,plain,
h12(op1(e10,e12)) = e23,
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_2_213,refute_2_354]) ).
cnf(refute_2_356,plain,
( e23 != h8(e11)
| h12(op1(e10,e12)) != e23
| h12(op1(e10,e12)) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),e23) ),[1],$fot(h8(e11))]]) ).
cnf(refute_2_357,plain,
( e23 != h8(e11)
| h12(op1(e10,e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),e23) )],[refute_2_355,refute_2_356]) ).
cnf(refute_2_358,plain,
e23 != h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) )],[refute_2_357,refute_2_223]) ).
cnf(refute_2_359,plain,
$false,
inference(resolve,[$cnf( $equal(e23,h8(e11)) )],[refute_2_211,refute_2_358]) ).
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))
& h4(op1(e11,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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12)) )
=> h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_3_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_3_1]) ).
fof(normalize_3_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_3_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_3_4]) ).
fof(normalize_3_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_3_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_3_7]) ).
fof(normalize_3_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_3_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_3_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_3_13]) ).
fof(normalize_3_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_3_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_3_16]) ).
fof(normalize_3_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_3_16]) ).
fof(normalize_3_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_3_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_3_19]) ).
fof(normalize_3_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_3_19]) ).
fof(normalize_3_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_3_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_3_22]) ).
fof(normalize_3_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_3_22]) ).
fof(normalize_3_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_3_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_3_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_3_28]) ).
fof(normalize_3_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_3_28]) ).
fof(normalize_3_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_3_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_3_31]) ).
fof(normalize_3_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_3_31]) ).
fof(normalize_3_34,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_3_0,normalize_3_2,normalize_3_3,normalize_3_5,normalize_3_6,normalize_3_8,normalize_3_9,normalize_3_11,normalize_3_12,normalize_3_14,normalize_3_15,normalize_3_17,normalize_3_18,normalize_3_20,normalize_3_21,normalize_3_23,normalize_3_24,normalize_3_26,normalize_3_27,normalize_3_29,normalize_3_30,normalize_3_32,normalize_3_33]) ).
fof(normalize_3_35,plain,
h12(op1(e10,e13)) != op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_3_34]) ).
fof(normalize_3_36,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_3_37,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_3_36]) ).
fof(normalize_3_38,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_3_39,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_40,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_3_10]) ).
fof(normalize_3_41,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_42,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_43,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_3_36]) ).
fof(normalize_3_44,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_3_22]) ).
fof(normalize_3_45,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_3_46,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_3_45]) ).
fof(normalize_3_47,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_3_45]) ).
fof(normalize_3_48,plain,
op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23)),
inference(conjunct,[],[normalize_3_36]) ).
fof(normalize_3_49,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_3_28]) ).
fof(normalize_3_50,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(conjunct,[],[normalize_3_34]) ).
fof(normalize_3_51,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_3_36]) ).
fof(normalize_3_52,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_3_38]) ).
fof(normalize_3_53,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_3_54,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_3_53]) ).
fof(normalize_3_55,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_3_53]) ).
fof(normalize_3_56,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(conjunct,[],[normalize_3_53]) ).
fof(normalize_3_57,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_3_58,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_3_57]) ).
fof(normalize_3_59,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_3_58]) ).
fof(normalize_3_60,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_3_61,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_3_60,normalize_3_57]) ).
fof(normalize_3_62,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_3_61]) ).
fof(normalize_3_63,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_3_62]) ).
fof(normalize_3_64,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,[],[ax17]) ).
fof(normalize_3_65,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_3_64]) ).
fof(normalize_3_66,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_3_67,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_3_66]) ).
fof(normalize_3_68,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_3_69,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_3_68,normalize_3_61,normalize_3_57]) ).
fof(normalize_3_70,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_3_71,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_3_69,normalize_3_70]) ).
fof(normalize_3_72,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_3_71]) ).
fof(normalize_3_73,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_3_72]) ).
fof(normalize_3_74,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_3_66]) ).
fof(normalize_3_75,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_3_76,plain,
e10 != e13,
inference(conjunct,[],[normalize_3_75]) ).
fof(normalize_3_77,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_3_70]) ).
fof(normalize_3_78,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_3_77]) ).
fof(normalize_3_79,plain,
e10 != e12,
inference(conjunct,[],[normalize_3_75]) ).
fof(normalize_3_80,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(conjunct,[],[normalize_3_53]) ).
fof(normalize_3_81,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_3_53]) ).
fof(normalize_3_82,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_3_58]) ).
fof(normalize_3_83,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_3_53]) ).
fof(normalize_3_84,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_85,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_3_84]) ).
fof(normalize_3_86,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_3_64]) ).
fof(normalize_3_87,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_3_64]) ).
fof(normalize_3_88,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_3_64]) ).
fof(normalize_3_89,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,[],[ax5]) ).
fof(normalize_3_90,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_3_89]) ).
fof(normalize_3_91,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,[],[ax18]) ).
fof(normalize_3_92,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_91]) ).
fof(normalize_3_93,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_3_91]) ).
fof(normalize_3_94,plain,
op2(e22,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_91]) ).
fof(normalize_3_95,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_3_96,plain,
e22 != e23,
inference(conjunct,[],[normalize_3_95]) ).
fof(normalize_3_97,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_3_84]) ).
fof(normalize_3_98,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_3_64]) ).
fof(normalize_3_99,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_3_64]) ).
cnf(refute_3_0,plain,
h12(op1(e10,e13)) != op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_3_35]) ).
cnf(refute_3_1,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_3_37]) ).
cnf(refute_3_2,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_3,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_3_40]) ).
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( $equal(X,X) )],[refute_3_4,refute_3_5]) ).
cnf(refute_3_7,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_3_8,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_3_3,refute_3_7]) ).
cnf(refute_3_9,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_3_10,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_3_8,refute_3_9]) ).
cnf(refute_3_11,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_3_2,refute_3_10]) ).
cnf(refute_3_12,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_3_13,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_3_11,refute_3_12]) ).
cnf(refute_3_14,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_15,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_6,refute_3_14]) ).
cnf(refute_3_16,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_3_17,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_3_8,refute_3_16]) ).
cnf(refute_3_18,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_3_13,refute_3_17]) ).
cnf(refute_3_19,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_3_20,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_3_21,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_3_19,refute_3_20]) ).
cnf(refute_3_22,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_3_18,refute_3_21]) ).
cnf(refute_3_23,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_3_24,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_3_22,refute_3_23]) ).
cnf(refute_3_25,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_3_26,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_3_27,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_3_25,refute_3_26]) ).
cnf(refute_3_28,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_3_18,refute_3_27]) ).
cnf(refute_3_29,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_3_30,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_3_28,refute_3_29]) ).
cnf(refute_3_31,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_3_24,refute_3_30]) ).
cnf(refute_3_32,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_3_1,refute_3_31]) ).
cnf(refute_3_33,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_3_41]) ).
cnf(refute_3_34,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_3_35,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_3_36,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_3_34,refute_3_35]) ).
cnf(refute_3_37,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_3_33,refute_3_36]) ).
cnf(refute_3_38,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_3_39,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_3_37,refute_3_38]) ).
cnf(refute_3_40,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_3_32,refute_3_39]) ).
cnf(refute_3_41,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_3_42,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_3_40,refute_3_41]) ).
cnf(refute_3_43,plain,
h12(op1(e10,e13)) != op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_3_42,refute_3_0]) ).
cnf(refute_3_44,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_3_42]) ).
cnf(refute_3_45,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_43]) ).
cnf(refute_3_46,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_3_44]) ).
cnf(refute_3_47,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_3_48,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_3_46,refute_3_47]) ).
cnf(refute_3_49,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_3_46]) ).
cnf(refute_3_50,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_3_51,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_3_49,refute_3_50]) ).
cnf(refute_3_52,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_3_53,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_54,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_3_52,refute_3_53]) ).
cnf(refute_3_55,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_51,refute_3_54]) ).
cnf(refute_3_56,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_3_57,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_3_55,refute_3_56]) ).
cnf(refute_3_58,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_57]) ).
cnf(refute_3_59,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_3_60,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_3_58,refute_3_59]) ).
cnf(refute_3_61,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_3_62,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_3_44,refute_3_61]) ).
cnf(refute_3_63,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_3_47]) ).
cnf(refute_3_64,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_65,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_3_63,refute_3_64]) ).
cnf(refute_3_66,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_3_67,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_68,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_3_66,refute_3_67]) ).
cnf(refute_3_69,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_65,refute_3_68]) ).
cnf(refute_3_70,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_3_71,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_3_69,refute_3_70]) ).
cnf(refute_3_72,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_3_62,refute_3_71]) ).
cnf(refute_3_73,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_3_74,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_3_72,refute_3_73]) ).
cnf(refute_3_75,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_3_60,refute_3_74]) ).
cnf(refute_3_76,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_3_45,refute_3_75]) ).
cnf(refute_3_77,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_3_78,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_3_76,refute_3_77]) ).
cnf(refute_3_79,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_3_80,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_3_78,refute_3_79]) ).
cnf(refute_3_81,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_3_44,refute_3_80]) ).
cnf(refute_3_82,plain,
op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23)),
inference(canonicalize,[],[normalize_3_48]) ).
cnf(refute_3_83,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_3_49]) ).
cnf(refute_3_84,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_3_85,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_3_83,refute_3_84]) ).
cnf(refute_3_86,plain,
op2(op2(e22,e21),e23) = op2(op2(e22,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e23))]]) ).
cnf(refute_3_87,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e23) != op2(op2(e22,e21),e23)
| op2(op2(e22,e21),e23) = op2(h8(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e23),op2(op2(e22,e21),e23)) ),[1,0],$fot(h8(e11))]]) ).
cnf(refute_3_88,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e23) = op2(h8(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),op2(op2(e22,e21),e23)) )],[refute_3_86,refute_3_87]) ).
cnf(refute_3_89,plain,
op2(op2(e22,e21),e23) = op2(h8(e11),e23),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_3_85,refute_3_88]) ).
cnf(refute_3_90,plain,
( op2(op2(e22,e21),e23) != op2(e22,op2(e21,e23))
| op2(op2(e22,e21),e23) != op2(h8(e11),e23)
| op2(h8(e11),e23) = op2(e22,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e23),op2(e22,op2(e21,e23))) ),[0],$fot(op2(h8(e11),e23))]]) ).
cnf(refute_3_91,plain,
( op2(op2(e22,e21),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),op2(h8(e11),e23)) )],[refute_3_89,refute_3_90]) ).
cnf(refute_3_92,plain,
op2(e22,op2(e21,e23)) = op2(e22,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e23)))]]) ).
cnf(refute_3_93,plain,
( op2(e21,e23) != h6(e11)
| op2(e22,op2(e21,e23)) != op2(e22,op2(e21,e23))
| op2(e22,op2(e21,e23)) = op2(e22,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e23)),op2(e22,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_3_94,plain,
( op2(e21,e23) != h6(e11)
| op2(e22,op2(e21,e23)) = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e23)),op2(e22,op2(e21,e23))) )],[refute_3_92,refute_3_93]) ).
cnf(refute_3_95,plain,
op2(e22,op2(e21,e23)) = op2(e22,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_94]) ).
cnf(refute_3_96,plain,
( op2(e22,op2(e21,e23)) != op2(e22,h6(e11))
| op2(h8(e11),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e23),op2(e22,op2(e21,e23))) ),[1],$fot(op2(e22,h6(e11)))]]) ).
cnf(refute_3_97,plain,
( op2(h8(e11),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e23)),op2(e22,h6(e11))) )],[refute_3_95,refute_3_96]) ).
cnf(refute_3_98,plain,
( op2(op2(e22,e21),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(e22,op2(e21,e23))) )],[refute_3_91,refute_3_97]) ).
cnf(refute_3_99,plain,
op2(h8(e11),e23) = op2(e22,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),op2(e22,op2(e21,e23))) )],[refute_3_82,refute_3_98]) ).
cnf(refute_3_100,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(canonicalize,[],[normalize_3_50]) ).
cnf(refute_3_101,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_3_51]) ).
cnf(refute_3_102,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_3_103,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_3_104,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_3_102,refute_3_103]) ).
cnf(refute_3_105,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_3_18,refute_3_104]) ).
cnf(refute_3_106,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_3_107,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_3_105,refute_3_106]) ).
cnf(refute_3_108,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_3_109,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_110,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_3_108,refute_3_109]) ).
cnf(refute_3_111,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_51,refute_3_110]) ).
cnf(refute_3_112,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_3_113,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_3_111,refute_3_112]) ).
cnf(refute_3_114,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_3_85,refute_3_113]) ).
cnf(refute_3_115,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_3_116,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_3_114,refute_3_115]) ).
cnf(refute_3_117,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_3_107,refute_3_116]) ).
cnf(refute_3_118,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_3_101,refute_3_117]) ).
cnf(refute_3_119,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_3_52]) ).
cnf(refute_3_120,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_3_121,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_122,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) )],[refute_3_120,refute_3_121]) ).
cnf(refute_3_123,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_3_119,refute_3_122]) ).
cnf(refute_3_124,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) != op2(h12(e10),e23)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(h12(e10),h12(e12)))),bind(Y,$fot(op2(h12(e10),e23))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_3_125,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),e23)) )],[refute_3_123,refute_3_124]) ).
cnf(refute_3_126,plain,
op2(h12(e10),h12(e12)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_3_118,refute_3_125]) ).
cnf(refute_3_127,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) != h8(e11)
| h12(op1(e10,e12)) = h8(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),h8(e11)) ),[0],$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_3_128,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),h8(e11)) )],[refute_3_126,refute_3_127]) ).
cnf(refute_3_129,plain,
h12(op1(e10,e12)) = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),op2(h12(e10),h12(e12))) )],[refute_3_100,refute_3_128]) ).
cnf(refute_3_130,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_3_54]) ).
cnf(refute_3_131,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_3_55]) ).
cnf(refute_3_132,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(canonicalize,[],[normalize_3_56]) ).
cnf(refute_3_133,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_3_59]) ).
cnf(refute_3_134,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_3_63]) ).
cnf(refute_3_135,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_65]) ).
cnf(refute_3_136,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_3_67]) ).
cnf(refute_3_137,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_3_138,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_3_136,refute_3_137]) ).
cnf(refute_3_139,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_140,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_3_138,refute_3_139]) ).
cnf(refute_3_141,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_3_140,refute_3_135]) ).
cnf(refute_3_142,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_3_134,refute_3_141]) ).
cnf(refute_3_143,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_3_73]) ).
cnf(refute_3_144,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_3_74]) ).
cnf(refute_3_145,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_3_146,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_3_144,refute_3_145]) ).
cnf(refute_3_147,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_3_148,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_146,refute_3_147]) ).
cnf(refute_3_149,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_3_143,refute_3_148]) ).
cnf(refute_3_150,plain,
e10 != e13,
inference(canonicalize,[],[normalize_3_76]) ).
cnf(refute_3_151,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_3_149,refute_3_150]) ).
cnf(refute_3_152,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_3_78]) ).
cnf(refute_3_153,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_3_154,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_146,refute_3_153]) ).
cnf(refute_3_155,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_3_152,refute_3_154]) ).
cnf(refute_3_156,plain,
e10 != e12,
inference(canonicalize,[],[normalize_3_79]) ).
cnf(refute_3_157,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_3_155,refute_3_156]) ).
cnf(refute_3_158,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_3_151,refute_3_157]) ).
cnf(refute_3_159,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_3_158,refute_3_142]) ).
cnf(refute_3_160,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_3_133,refute_3_159]) ).
cnf(refute_3_161,plain,
op1(op1(e11,e11),e11) = op1(op1(e11,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e11))]]) ).
cnf(refute_3_162,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) != op1(op1(e11,e11),e11)
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_3_163,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) )],[refute_3_161,refute_3_162]) ).
cnf(refute_3_164,plain,
op1(op1(e11,e11),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_3_160,refute_3_163]) ).
cnf(refute_3_165,plain,
( op1(op1(e11,e11),e11) != op1(e10,e11)
| op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_3_166,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e10,e11)) )],[refute_3_164,refute_3_165]) ).
cnf(refute_3_167,plain,
op1(e11,op1(e11,e11)) = op1(e11,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_3_168,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_3_169,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) )],[refute_3_167,refute_3_168]) ).
cnf(refute_3_170,plain,
op1(e11,op1(e11,e11)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_3_160,refute_3_169]) ).
cnf(refute_3_171,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_3_172,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,e10)) )],[refute_3_170,refute_3_171]) ).
cnf(refute_3_173,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e11))) )],[refute_3_166,refute_3_172]) ).
cnf(refute_3_174,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) )],[refute_3_132,refute_3_173]) ).
cnf(refute_3_175,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_3_176,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_3_174,refute_3_175]) ).
cnf(refute_3_177,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_3_178,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) != op1(op1(e11,e10),e12)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_3_179,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_3_177,refute_3_178]) ).
cnf(refute_3_180,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_3_176,refute_3_179]) ).
cnf(refute_3_181,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_3_182,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_3_180,refute_3_181]) ).
cnf(refute_3_183,plain,
op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_3_131,refute_3_182]) ).
cnf(refute_3_184,plain,
( op1(op1(e11,e10),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_3_185,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,op1(e11,e12))) )],[refute_3_183,refute_3_184]) ).
cnf(refute_3_186,plain,
op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_3_130,refute_3_185]) ).
cnf(refute_3_187,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(canonicalize,[],[normalize_3_80]) ).
cnf(refute_3_188,plain,
op1(op1(e11,e11),e13) = op1(op1(e11,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e13))]]) ).
cnf(refute_3_189,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) != op1(op1(e11,e11),e13)
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_3_190,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) )],[refute_3_188,refute_3_189]) ).
cnf(refute_3_191,plain,
op1(op1(e11,e11),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_3_160,refute_3_190]) ).
cnf(refute_3_192,plain,
( op1(op1(e11,e11),e13) != op1(e10,e13)
| op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_3_193,plain,
( op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,e13)) )],[refute_3_191,refute_3_192]) ).
cnf(refute_3_194,plain,
op1(e10,e13) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) )],[refute_3_187,refute_3_193]) ).
cnf(refute_3_195,plain,
( op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e10,op1(e11,e12)))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_3_196,plain,
op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) )],[refute_3_186,refute_3_195]) ).
cnf(refute_3_197,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_3_81]) ).
cnf(refute_3_198,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_3_82]) ).
cnf(refute_3_199,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_3_198,refute_3_159]) ).
cnf(refute_3_200,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_3_201,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_3_202,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_3_200,refute_3_201]) ).
cnf(refute_3_203,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_3_199,refute_3_202]) ).
cnf(refute_3_204,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_3_205,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_3_203,refute_3_204]) ).
cnf(refute_3_206,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_3_83]) ).
cnf(refute_3_207,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_3_208,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_3_209,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_3_207,refute_3_208]) ).
cnf(refute_3_210,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_3_138,refute_3_209]) ).
cnf(refute_3_211,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_3_212,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_3_210,refute_3_211]) ).
cnf(refute_3_213,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_3_214,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_3_215,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_3_213,refute_3_214]) ).
cnf(refute_3_216,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_146,refute_3_215]) ).
cnf(refute_3_217,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_3_218,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_3_216,refute_3_217]) ).
cnf(refute_3_219,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_3_212,refute_3_218]) ).
cnf(refute_3_220,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_3_206,refute_3_219]) ).
cnf(refute_3_221,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_3_222,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_3_220,refute_3_221]) ).
cnf(refute_3_223,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_3_224,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_3_225,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_3_223,refute_3_224]) ).
cnf(refute_3_226,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_3_199,refute_3_225]) ).
cnf(refute_3_227,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_3_228,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_3_226,refute_3_227]) ).
cnf(refute_3_229,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_3_222,refute_3_228]) ).
cnf(refute_3_230,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_3_231,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_3_229,refute_3_230]) ).
cnf(refute_3_232,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_3_205,refute_3_231]) ).
cnf(refute_3_233,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_3_197,refute_3_232]) ).
cnf(refute_3_234,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_3_235,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_3_233,refute_3_234]) ).
cnf(refute_3_236,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_3_237,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) ),[1,1],$fot(op1(e10,e12))]]) ).
cnf(refute_3_238,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_3_236,refute_3_237]) ).
cnf(refute_3_239,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_3_235,refute_3_238]) ).
cnf(refute_3_240,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op1(e11,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e12)))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_3_241,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_3_239,refute_3_240]) ).
cnf(refute_3_242,plain,
op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,op1(e11,e12))) )],[refute_3_196,refute_3_241]) ).
cnf(refute_3_243,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) != op1(e10,op1(e11,e12))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e10,op1(e11,e12))) ),[0],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_3_244,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e10,op1(e11,e12))) )],[refute_3_242,refute_3_243]) ).
cnf(refute_3_245,plain,
op1(e10,e13) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,op1(e11,e13))) )],[refute_3_194,refute_3_244]) ).
cnf(refute_3_246,plain,
( op1(e10,e13) != op1(e10,op1(e11,e12))
| op1(e10,op1(e11,e12)) = op1(e10,e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_3_247,plain,
op1(e10,op1(e11,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,op1(e11,e12))) )],[refute_3_245,refute_3_246]) ).
cnf(refute_3_248,plain,
( op1(e10,op1(e11,e12)) != op1(e10,e13)
| op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e10,e13) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_3_249,plain,
( op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e10,e13) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,e13)) )],[refute_3_247,refute_3_248]) ).
cnf(refute_3_250,plain,
op1(e10,e13) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) )],[refute_3_186,refute_3_249]) ).
cnf(refute_3_251,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_3_85]) ).
cnf(refute_3_252,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_86]) ).
cnf(refute_3_253,plain,
( op1(e11,e13) != e10
| op1(e13,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_3_254,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_146,refute_3_253]) ).
cnf(refute_3_255,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_3_254,refute_3_252]) ).
cnf(refute_3_256,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_3_251,refute_3_255]) ).
cnf(refute_3_257,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_87]) ).
cnf(refute_3_258,plain,
( op1(e11,e13) != e11
| op1(e12,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_259,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_3_138,refute_3_258]) ).
cnf(refute_3_260,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_3_259,refute_3_257]) ).
cnf(refute_3_261,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_3_256,refute_3_260]) ).
cnf(refute_3_262,plain,
( op1(e11,e13) != e12
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_3_263,plain,
( op1(e11,e13) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_3_235,refute_3_262]) ).
cnf(refute_3_264,plain,
( op1(e10,e12) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_3_261,refute_3_263]) ).
cnf(refute_3_265,plain,
( op1(e11,e13) != e13
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_3_266,plain,
( op1(e11,e13) != e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_3_235,refute_3_265]) ).
cnf(refute_3_267,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_3_264,refute_3_266]) ).
cnf(refute_3_268,plain,
( op1(e10,e12) != e13
| op1(e10,e13) != op1(e11,op1(e10,e12))
| op1(e10,e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),op1(e11,op1(e10,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_3_269,plain,
( op1(e10,e13) != op1(e11,op1(e10,e12))
| op1(e10,e12) = e12
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_3_267,refute_3_268]) ).
cnf(refute_3_270,plain,
( op1(e10,e12) = e12
| op1(e10,e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,op1(e10,e12))) )],[refute_3_250,refute_3_269]) ).
cnf(refute_3_271,plain,
( op1(e10,e13) != op1(e11,e13)
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e13) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e10,e12)) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_3_272,plain,
( op1(e10,e13) != op1(e11,e13)
| op1(e10,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_3_235,refute_3_271]) ).
cnf(refute_3_273,plain,
( op1(e10,e12) = e12
| op1(e10,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e13)) )],[refute_3_270,refute_3_272]) ).
cnf(refute_3_274,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_3_88]) ).
cnf(refute_3_275,plain,
( op1(e10,e13) != op1(e10,e12)
| op1(e10,e12) = op1(e10,e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,e12)))]]) ).
cnf(refute_3_276,plain,
op1(e10,e13) != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_3_275,refute_3_274]) ).
cnf(refute_3_277,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e12)) )],[refute_3_273,refute_3_276]) ).
cnf(refute_3_278,plain,
h12(op1(e10,e12)) = h12(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e12)))]]) ).
cnf(refute_3_279,plain,
( h12(op1(e10,e12)) != h12(op1(e10,e12))
| op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_3_280,plain,
( op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) )],[refute_3_278,refute_3_279]) ).
cnf(refute_3_281,plain,
h12(op1(e10,e12)) = h12(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_3_277,refute_3_280]) ).
cnf(refute_3_282,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) != h12(e12)
| h12(op1(e10,e12)) = e23 ),
inference(subst,[],[refute_3_15:[bind(X,$fot(h12(op1(e10,e12)))),bind(Y,$fot(h12(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_3_283,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(e12)) )],[refute_3_281,refute_3_282]) ).
cnf(refute_3_284,plain,
h12(op1(e10,e12)) = e23,
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_3_119,refute_3_283]) ).
cnf(refute_3_285,plain,
( h12(op1(e10,e12)) != e23
| h12(op1(e10,e12)) != h8(e11)
| e23 = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_3_286,plain,
( h12(op1(e10,e12)) != h8(e11)
| e23 = h8(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),e23) )],[refute_3_284,refute_3_285]) ).
cnf(refute_3_287,plain,
e23 = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) )],[refute_3_129,refute_3_286]) ).
cnf(refute_3_288,plain,
( e23 != h8(e11)
| h8(e11) = e23 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e23)),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_3_289,plain,
h8(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h8(e11)) )],[refute_3_287,refute_3_288]) ).
cnf(refute_3_290,plain,
op2(h8(e11),e23) = op2(h8(e11),e23),
introduced(tautology,[refl,[$fot(op2(h8(e11),e23))]]) ).
cnf(refute_3_291,plain,
( h8(e11) != e23
| op2(h8(e11),e23) != op2(h8(e11),e23)
| op2(h8(e11),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e23),op2(h8(e11),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_292,plain,
( h8(e11) != e23
| op2(h8(e11),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(h8(e11),e23)) )],[refute_3_290,refute_3_291]) ).
cnf(refute_3_293,plain,
op2(h8(e11),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h8(e11),e23) )],[refute_3_289,refute_3_292]) ).
cnf(refute_3_294,plain,
( op2(e23,e23) != e20
| op2(h8(e11),e23) != op2(e23,e23)
| op2(h8(e11),e23) = e20 ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(h8(e11),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_3_295,plain,
( op2(e23,e23) != e20
| op2(h8(e11),e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(e23,e23)) )],[refute_3_293,refute_3_294]) ).
cnf(refute_3_296,plain,
op2(h8(e11),e23) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_65,refute_3_295]) ).
cnf(refute_3_297,plain,
( op2(h8(e11),e23) != e20
| op2(h8(e11),e23) != op2(e22,h6(e11))
| e20 = op2(e22,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e23),op2(e22,h6(e11))) ),[0],$fot(e20)]]) ).
cnf(refute_3_298,plain,
( op2(h8(e11),e23) != op2(e22,h6(e11))
| e20 = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),e20) )],[refute_3_296,refute_3_297]) ).
cnf(refute_3_299,plain,
e20 = op2(e22,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(e22,h6(e11))) )],[refute_3_99,refute_3_298]) ).
cnf(refute_3_300,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_3_90]) ).
cnf(refute_3_301,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h6(e11)
| h6(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h6(e11))]]) ).
cnf(refute_3_302,plain,
( op2(e21,e23) != e20
| h6(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_301]) ).
cnf(refute_3_303,plain,
( h6(e11) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_3_300,refute_3_302]) ).
cnf(refute_3_304,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h6(e11)
| h6(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h6(e11))]]) ).
cnf(refute_3_305,plain,
( op2(e21,e23) != e21
| h6(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_304]) ).
cnf(refute_3_306,plain,
( h6(e11) = e20
| h6(e11) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_3_303,refute_3_305]) ).
cnf(refute_3_307,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h6(e11)
| h6(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h6(e11))]]) ).
cnf(refute_3_308,plain,
( op2(e21,e23) != e22
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_307]) ).
cnf(refute_3_309,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_3_306,refute_3_308]) ).
cnf(refute_3_310,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h6(e11)
| h6(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h6(e11))]]) ).
cnf(refute_3_311,plain,
( op2(e21,e23) != e23
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_310]) ).
cnf(refute_3_312,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_3_309,refute_3_311]) ).
cnf(refute_3_313,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_92]) ).
cnf(refute_3_314,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_3_315,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_314]) ).
cnf(refute_3_316,plain,
( h6(e11) != e20
| op2(e23,e23) != e20
| h6(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_3_317,plain,
( h6(e11) != e20
| h6(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_65,refute_3_316]) ).
cnf(refute_3_318,plain,
( h6(e11) != e20
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e23,e23)) )],[refute_3_317,refute_3_315]) ).
cnf(refute_3_319,plain,
h6(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_3_318,refute_3_313]) ).
cnf(refute_3_320,plain,
( h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e20) )],[refute_3_312,refute_3_319]) ).
cnf(refute_3_321,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_3_93]) ).
cnf(refute_3_322,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_3_323,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_3_48,refute_3_322]) ).
cnf(refute_3_324,plain,
( h6(e11) != e21
| op2(e22,e23) != e21
| h6(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_3_325,plain,
( h6(e11) != e21
| h6(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_51,refute_3_324]) ).
cnf(refute_3_326,plain,
( h6(e11) != e21
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e23)) )],[refute_3_325,refute_3_323]) ).
cnf(refute_3_327,plain,
h6(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_3_326,refute_3_321]) ).
cnf(refute_3_328,plain,
( h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e21) )],[refute_3_320,refute_3_327]) ).
cnf(refute_3_329,plain,
( e20 != op2(e22,h6(e11))
| h6(e11) != e23
| e20 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e22,h6(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_330,plain,
( e20 != op2(e22,h6(e11))
| e20 = op2(e22,e23)
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(h6(e11),e23) )],[refute_3_328,refute_3_329]) ).
cnf(refute_3_331,plain,
( e20 = op2(e22,e23)
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,h6(e11))) )],[refute_3_299,refute_3_330]) ).
cnf(refute_3_332,plain,
( e20 != op2(e22,e23)
| op2(e22,e23) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(op2(e22,e23))]]) ).
cnf(refute_3_333,plain,
( e20 != op2(e22,e23)
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_51,refute_3_332]) ).
cnf(refute_3_334,plain,
( e20 = e21
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e23)) )],[refute_3_331,refute_3_333]) ).
cnf(refute_3_335,plain,
op2(e22,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_94]) ).
cnf(refute_3_336,plain,
( e21 != op2(e23,e23)
| op2(e22,e23) != e21
| op2(e22,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),e21) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_3_337,plain,
( e21 != op2(e23,e23)
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_51,refute_3_336]) ).
cnf(refute_3_338,plain,
( e21 != e20
| op2(e23,e23) != e20
| e21 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_3_339,plain,
( e21 != e20
| e21 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_3_65,refute_3_338]) ).
cnf(refute_3_340,plain,
( e21 != e20
| op2(e22,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(e21,op2(e23,e23)) )],[refute_3_339,refute_3_337]) ).
cnf(refute_3_341,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(op2(e22,e23),op2(e23,e23)) )],[refute_3_340,refute_3_335]) ).
cnf(refute_3_342,plain,
( e20 != e21
| e21 = e20 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e20)),bind(Y,$fot(e21))]]) ).
cnf(refute_3_343,plain,
e20 != e21,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_3_342,refute_3_341]) ).
cnf(refute_3_344,plain,
h6(e11) = e22,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_3_334,refute_3_343]) ).
cnf(refute_3_345,plain,
( h6(e11) != e22
| h6(e11) != op2(e22,e20)
| e22 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),op2(e22,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_3_346,plain,
( h6(e11) != op2(e22,e20)
| e22 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_3_344,refute_3_345]) ).
cnf(refute_3_347,plain,
e22 = op2(e22,e20),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_3_81,refute_3_346]) ).
cnf(refute_3_348,plain,
( e22 != op2(e22,e20)
| op2(e22,e20) = e22 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e22)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_3_349,plain,
op2(e22,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_3_347,refute_3_348]) ).
cnf(refute_3_350,plain,
( e20 != op2(e22,h6(e11))
| h6(e11) != e22
| e20 = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e22,h6(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_3_351,plain,
( e20 != op2(e22,h6(e11))
| e20 = op2(e22,e22)
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_3_328,refute_3_350]) ).
cnf(refute_3_352,plain,
( e20 = op2(e22,e22)
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,h6(e11))) )],[refute_3_299,refute_3_351]) ).
cnf(refute_3_353,plain,
( e20 != op2(e22,e22)
| op2(e22,e22) != h12(e10)
| e20 = h12(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h12(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_3_354,plain,
( e20 != op2(e22,e22)
| e20 = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_3_18,refute_3_353]) ).
cnf(refute_3_355,plain,
( e20 = h12(e10)
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e22)) )],[refute_3_352,refute_3_354]) ).
cnf(refute_3_356,plain,
( h6(e11) != e22
| h6(e11) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e23) ),[0],$fot(e22)]]) ).
cnf(refute_3_357,plain,
( h6(e11) != e23
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_3_344,refute_3_356]) ).
cnf(refute_3_358,plain,
( e20 = h12(e10)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e23) )],[refute_3_355,refute_3_357]) ).
cnf(refute_3_359,plain,
e22 != e23,
inference(canonicalize,[],[normalize_3_96]) ).
cnf(refute_3_360,plain,
e20 = h12(e10),
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_3_358,refute_3_359]) ).
cnf(refute_3_361,plain,
( e20 != h12(e10)
| h12(e10) = e20 ),
inference(subst,[],[refute_3_6:[bind(X,$fot(e20)),bind(Y,$fot(h12(e10)))]]) ).
cnf(refute_3_362,plain,
h12(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h12(e10)) )],[refute_3_360,refute_3_361]) ).
cnf(refute_3_363,plain,
op2(e22,h12(e10)) = op2(e22,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_3_364,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_365,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) )],[refute_3_363,refute_3_364]) ).
cnf(refute_3_366,plain,
op2(e22,h12(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_3_362,refute_3_365]) ).
cnf(refute_3_367,plain,
( op2(e22,e20) != e22
| op2(e22,h12(e10)) != op2(e22,e20)
| op2(e22,h12(e10)) = e22 ),
inference(subst,[],[refute_3_15:[bind(X,$fot(op2(e22,h12(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(e22))]]) ).
cnf(refute_3_368,plain,
( op2(e22,e20) != e22
| op2(e22,h12(e10)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,e20)) )],[refute_3_366,refute_3_367]) ).
cnf(refute_3_369,plain,
op2(e22,h12(e10)) = e22,
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_3_349,refute_3_368]) ).
cnf(refute_3_370,plain,
( h12(op1(e10,e13)) != e22
| op2(e22,h12(e10)) != e22
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[1],$fot(e22)]]) ).
cnf(refute_3_371,plain,
( h12(op1(e10,e13)) != e22
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),e22) )],[refute_3_369,refute_3_370]) ).
cnf(refute_3_372,plain,
h12(op1(e10,e13)) != e22,
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_3_371,refute_3_43]) ).
cnf(refute_3_373,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_3_97]) ).
cnf(refute_3_374,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_98]) ).
cnf(refute_3_375,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_3_376,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_146,refute_3_375]) ).
cnf(refute_3_377,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_3_376,refute_3_374]) ).
cnf(refute_3_378,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_3_373,refute_3_377]) ).
cnf(refute_3_379,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_3_99]) ).
cnf(refute_3_380,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_3_381,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_3_138,refute_3_380]) ).
cnf(refute_3_382,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_3_381,refute_3_379]) ).
cnf(refute_3_383,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_3_378,refute_3_382]) ).
cnf(refute_3_384,plain,
( e12 != op1(e10,e13)
| op1(e10,e12) != e12
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e12),e12) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_3_385,plain,
( e12 != op1(e10,e13)
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_3_277,refute_3_384]) ).
cnf(refute_3_386,plain,
e12 != op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_3_385,refute_3_274]) ).
cnf(refute_3_387,plain,
( op1(e10,e13) != e12
| e12 = op1(e10,e13) ),
inference(subst,[],[refute_3_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(e12))]]) ).
cnf(refute_3_388,plain,
op1(e10,e13) != e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e13)) )],[refute_3_387,refute_3_386]) ).
cnf(refute_3_389,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_3_383,refute_3_388]) ).
cnf(refute_3_390,plain,
h12(op1(e10,e13)) = h12(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_3_391,plain,
( h12(op1(e10,e13)) != h12(op1(e10,e13))
| op1(e10,e13) != e13
| h12(op1(e10,e13)) = h12(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),h12(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_3_392,plain,
( op1(e10,e13) != e13
| h12(op1(e10,e13)) = h12(e13) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h12(op1(e10,e13))) )],[refute_3_390,refute_3_391]) ).
cnf(refute_3_393,plain,
h12(op1(e10,e13)) = h12(e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_389,refute_3_392]) ).
cnf(refute_3_394,plain,
( h12(e13) != e22
| h12(op1(e10,e13)) != h12(e13)
| h12(op1(e10,e13)) = e22 ),
inference(subst,[],[refute_3_15:[bind(X,$fot(h12(op1(e10,e13)))),bind(Y,$fot(h12(e13))),bind(Z,$fot(e22))]]) ).
cnf(refute_3_395,plain,
( h12(e13) != e22
| h12(op1(e10,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h12(e13)) )],[refute_3_393,refute_3_394]) ).
cnf(refute_3_396,plain,
h12(op1(e10,e13)) = e22,
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_3_33,refute_3_395]) ).
cnf(refute_3_397,plain,
( e22 != e22
| h12(op1(e10,e13)) != e22
| h12(op1(e10,e13)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),e22) ),[1],$fot(e22)]]) ).
cnf(refute_3_398,plain,
( e22 != e22
| h12(op1(e10,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),e22) )],[refute_3_396,refute_3_397]) ).
cnf(refute_3_399,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),e22) )],[refute_3_398,refute_3_372]) ).
cnf(refute_3_400,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_3_401,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_3_400,refute_3_399]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13)) )
=> h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_4_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_4_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_4_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_4_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_4_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_4_13]) ).
fof(normalize_4_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_4_13]) ).
fof(normalize_4_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_4_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_4_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_4_19]) ).
fof(normalize_4_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_4_19]) ).
fof(normalize_4_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_4_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_4_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_4_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_4_28]) ).
fof(normalize_4_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_4_28]) ).
fof(normalize_4_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_4_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_34,plain,
( h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_4_0,normalize_4_2,normalize_4_3,normalize_4_5,normalize_4_6,normalize_4_8,normalize_4_9,normalize_4_11,normalize_4_12,normalize_4_14,normalize_4_15,normalize_4_17,normalize_4_18,normalize_4_20,normalize_4_21,normalize_4_23,normalize_4_24,normalize_4_26,normalize_4_27,normalize_4_29,normalize_4_30,normalize_4_32,normalize_4_33]) ).
fof(normalize_4_35,plain,
h12(op1(e11,e10)) != op2(h12(e11),h12(e10)),
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_36,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_4_37,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_38,plain,
h5(e11) = op2(e21,e22),
inference(conjunct,[],[normalize_4_19]) ).
fof(normalize_4_39,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_4_40,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_4_39]) ).
fof(normalize_4_41,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_4_10]) ).
fof(normalize_4_42,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_43,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_44,plain,
h4(e11) = op2(e21,e20),
inference(conjunct,[],[normalize_4_16]) ).
fof(normalize_4_45,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_4_46,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_47,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_48,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,[],[ax18]) ).
fof(normalize_4_49,plain,
op2(e22,e20) != op2(e22,e21),
inference(conjunct,[],[normalize_4_48]) ).
fof(normalize_4_50,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_4_25]) ).
fof(normalize_4_51,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_4_28]) ).
fof(normalize_4_52,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_53,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(conjunct,[],[normalize_4_34]) ).
fof(normalize_4_54,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_55,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_4_39]) ).
fof(normalize_4_56,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_4_57,plain,
op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10)),
inference(conjunct,[],[normalize_4_56]) ).
fof(normalize_4_58,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_4_56]) ).
fof(normalize_4_59,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_4_60,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_4_59]) ).
fof(normalize_4_61,plain,
op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13)),
inference(conjunct,[],[normalize_4_56]) ).
fof(normalize_4_62,plain,
op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13)),
inference(conjunct,[],[normalize_4_56]) ).
fof(normalize_4_63,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(conjunct,[],[normalize_4_56]) ).
fof(normalize_4_64,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_4_65,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_4_64]) ).
fof(normalize_4_66,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_4_65]) ).
fof(normalize_4_67,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_4_68,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_4_67,normalize_4_64]) ).
fof(normalize_4_69,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_4_68]) ).
fof(normalize_4_70,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_4_69]) ).
fof(normalize_4_71,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,[],[ax17]) ).
fof(normalize_4_72,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_4_71]) ).
fof(normalize_4_73,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_4_59]) ).
fof(normalize_4_74,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_4_75,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_4_74,normalize_4_68,normalize_4_64]) ).
fof(normalize_4_76,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_4_77,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_4_75,normalize_4_76]) ).
fof(normalize_4_78,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_4_77]) ).
fof(normalize_4_79,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_4_78]) ).
fof(normalize_4_80,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_4_81,plain,
e10 != e13,
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_82,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_4_76]) ).
fof(normalize_4_83,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_4_82]) ).
fof(normalize_4_84,plain,
e10 != e12,
inference(conjunct,[],[normalize_4_80]) ).
fof(normalize_4_85,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_4_56]) ).
fof(normalize_4_86,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_87,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_4_86]) ).
fof(normalize_4_88,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_4_71]) ).
fof(normalize_4_89,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_4_71]) ).
fof(normalize_4_90,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_4_71]) ).
fof(normalize_4_91,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_4_56]) ).
fof(normalize_4_92,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,[],[ax5]) ).
fof(normalize_4_93,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_4_92]) ).
fof(normalize_4_94,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_48]) ).
fof(normalize_4_95,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_4_48]) ).
fof(normalize_4_96,plain,
op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_97,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_4_39]) ).
fof(normalize_4_98,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_99,plain,
h1(e10) = op2(e21,e21),
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_100,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_4_13]) ).
fof(normalize_4_101,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_102,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_4_4]) ).
fof(normalize_4_103,plain,
op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20)),
inference(conjunct,[],[normalize_4_36]) ).
fof(normalize_4_104,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_4_105,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_4_104]) ).
fof(normalize_4_106,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_4_105]) ).
fof(normalize_4_107,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_4_108,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_4_107,normalize_4_104]) ).
fof(normalize_4_109,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_4_108]) ).
fof(normalize_4_110,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_4_109]) ).
fof(normalize_4_111,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_4_48]) ).
fof(normalize_4_112,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_4_113,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_4_112,normalize_4_108,normalize_4_104]) ).
fof(normalize_4_114,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_4_115,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_4_113,normalize_4_114]) ).
fof(normalize_4_116,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_4_115]) ).
fof(normalize_4_117,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_4_116]) ).
fof(normalize_4_118,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_4_119,plain,
e20 != e23,
inference(conjunct,[],[normalize_4_118]) ).
fof(normalize_4_120,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_4_114]) ).
fof(normalize_4_121,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_4_120]) ).
fof(normalize_4_122,plain,
e20 != e22,
inference(conjunct,[],[normalize_4_118]) ).
fof(normalize_4_123,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(conjunct,[],[normalize_4_56]) ).
cnf(refute_4_0,plain,
h12(op1(e11,e10)) != op2(h12(e11),h12(e10)),
inference(canonicalize,[],[normalize_4_35]) ).
cnf(refute_4_1,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_4_37]) ).
cnf(refute_4_2,plain,
h5(e11) = op2(e21,e22),
inference(canonicalize,[],[normalize_4_38]) ).
cnf(refute_4_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_3,refute_4_4]) ).
cnf(refute_4_6,plain,
( h5(e11) != op2(e21,e22)
| op2(e21,e22) = h5(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_4_7,plain,
op2(e21,e22) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e21,e22)) )],[refute_4_2,refute_4_6]) ).
cnf(refute_4_8,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_4_9,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h5(e11))]]) ).
cnf(refute_4_10,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_4_8,refute_4_9]) ).
cnf(refute_4_11,plain,
op2(op2(e21,e22),e22) = op2(h5(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_4_7,refute_4_10]) ).
cnf(refute_4_12,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[0],$fot(op2(h5(e11),e22))]]) ).
cnf(refute_4_13,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h5(e11),e22)) )],[refute_4_11,refute_4_12]) ).
cnf(refute_4_14,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_4_40]) ).
cnf(refute_4_15,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_4_41]) ).
cnf(refute_4_16,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_17,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_4_15,refute_4_16]) ).
cnf(refute_4_18,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_4_19,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_4_17,refute_4_18]) ).
cnf(refute_4_20,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_4_14,refute_4_19]) ).
cnf(refute_4_21,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_4_22,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_4_20,refute_4_21]) ).
cnf(refute_4_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_5,refute_4_23]) ).
cnf(refute_4_25,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_4_26,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_4_17,refute_4_25]) ).
cnf(refute_4_27,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_4_22,refute_4_26]) ).
cnf(refute_4_28,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_4_29,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_4_30,plain,
( op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_4_28,refute_4_29]) ).
cnf(refute_4_31,plain,
op2(e21,op2(e22,e22)) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_4_27,refute_4_30]) ).
cnf(refute_4_32,plain,
( op2(e21,op2(e22,e22)) != op2(e21,h12(e10))
| op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_4_33,plain,
( op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,h12(e10))) )],[refute_4_31,refute_4_32]) ).
cnf(refute_4_34,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) )],[refute_4_13,refute_4_33]) ).
cnf(refute_4_35,plain,
op2(h5(e11),e22) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_4_1,refute_4_34]) ).
cnf(refute_4_36,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_42]) ).
cnf(refute_4_37,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_4_43]) ).
cnf(refute_4_38,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_4_39,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_4_37,refute_4_38]) ).
cnf(refute_4_40,plain,
op2(op2(e21,e23),e23) = op2(op2(e21,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e23))]]) ).
cnf(refute_4_41,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e23) != op2(op2(e21,e23),e23)
| op2(op2(e21,e23),e23) = op2(h6(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_4_42,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e23) = op2(h6(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) )],[refute_4_40,refute_4_41]) ).
cnf(refute_4_43,plain,
op2(op2(e21,e23),e23) = op2(h6(e11),e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_42]) ).
cnf(refute_4_44,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(op2(e21,e23),e23) != op2(h6(e11),e23)
| op2(h6(e11),e23) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) ),[0],$fot(op2(h6(e11),e23))]]) ).
cnf(refute_4_45,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(h6(e11),e23)) )],[refute_4_43,refute_4_44]) ).
cnf(refute_4_46,plain,
h4(e11) = op2(e21,e20),
inference(canonicalize,[],[normalize_4_44]) ).
cnf(refute_4_47,plain,
( h4(e11) != op2(e21,e20)
| op2(e21,e20) = h4(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_4_48,plain,
op2(e21,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_4_46,refute_4_47]) ).
cnf(refute_4_49,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_4_46]) ).
cnf(refute_4_50,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_51,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_4_49,refute_4_50]) ).
cnf(refute_4_52,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_4_53,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e21,op2(e23,e23)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_54,plain,
( op2(e23,e23) != e20
| op2(e21,op2(e23,e23)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_4_52,refute_4_53]) ).
cnf(refute_4_55,plain,
op2(e21,op2(e23,e23)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_54]) ).
cnf(refute_4_56,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,op2(e23,e23)) != op2(e21,e20)
| op2(e21,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e21,op2(e23,e23)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_4_57,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,op2(e23,e23)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e20)) )],[refute_4_55,refute_4_56]) ).
cnf(refute_4_58,plain,
op2(e21,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_4_48,refute_4_57]) ).
cnf(refute_4_59,plain,
( op2(e21,op2(e23,e23)) != h4(e11)
| op2(h6(e11),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e23),op2(e21,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_4_60,plain,
( op2(h6(e11),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),h4(e11)) )],[refute_4_58,refute_4_59]) ).
cnf(refute_4_61,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),op2(e21,op2(e23,e23))) )],[refute_4_45,refute_4_60]) ).
cnf(refute_4_62,plain,
op2(h6(e11),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) )],[refute_4_36,refute_4_61]) ).
cnf(refute_4_63,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_4_47]) ).
cnf(refute_4_64,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_4_65,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_4_63,refute_4_64]) ).
cnf(refute_4_66,plain,
op2(e22,e20) != op2(e22,e21),
inference(canonicalize,[],[normalize_4_49]) ).
cnf(refute_4_67,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_4_50]) ).
cnf(refute_4_68,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_4_69,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_4_67,refute_4_68]) ).
cnf(refute_4_70,plain,
( h7(e11) != op2(e22,e21)
| op2(e22,e20) != h7(e11)
| op2(e22,e20) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),h7(e11)) ),[1],$fot(op2(e22,e21))]]) ).
cnf(refute_4_71,plain,
( h7(e11) != op2(e22,e21)
| op2(e22,e20) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_4_69,refute_4_70]) ).
cnf(refute_4_72,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_4_51]) ).
cnf(refute_4_73,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_4_74,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_4_72,refute_4_73]) ).
cnf(refute_4_75,plain,
( h7(e11) != h8(e11)
| op2(e22,e21) != h8(e11)
| h7(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h7(e11),op2(e22,e21)) ),[1],$fot(h8(e11))]]) ).
cnf(refute_4_76,plain,
( h7(e11) != h8(e11)
| h7(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_4_74,refute_4_75]) ).
cnf(refute_4_77,plain,
( h7(e11) != h8(e11)
| op2(e22,e20) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e21)) )],[refute_4_76,refute_4_71]) ).
cnf(refute_4_78,plain,
h7(e11) != h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e21)) )],[refute_4_77,refute_4_66]) ).
cnf(refute_4_79,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_52]) ).
cnf(refute_4_80,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_4_81,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_82,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_4_80,refute_4_81]) ).
cnf(refute_4_83,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_65,refute_4_82]) ).
cnf(refute_4_84,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_4_85,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_4_83,refute_4_84]) ).
cnf(refute_4_86,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_85]) ).
cnf(refute_4_87,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_4_88,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_4_86,refute_4_87]) ).
cnf(refute_4_89,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_4_90,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_91,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_4_89,refute_4_90]) ).
cnf(refute_4_92,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_91]) ).
cnf(refute_4_93,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_4_94,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_4_92,refute_4_93]) ).
cnf(refute_4_95,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_4_69,refute_4_94]) ).
cnf(refute_4_96,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_4_97,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_4_95,refute_4_96]) ).
cnf(refute_4_98,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_4_88,refute_4_97]) ).
cnf(refute_4_99,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_4_79,refute_4_98]) ).
cnf(refute_4_100,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_4_101,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_4_99,refute_4_100]) ).
cnf(refute_4_102,plain,
( h6(e11) != h8(e11)
| h7(e11) != h6(e11)
| h7(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),h6(e11)) ),[1],$fot(h8(e11))]]) ).
cnf(refute_4_103,plain,
( h6(e11) != h8(e11)
| h7(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_4_101,refute_4_102]) ).
cnf(refute_4_104,plain,
h6(e11) != h8(e11),
inference(resolve,[$cnf( $equal(h7(e11),h8(e11)) )],[refute_4_103,refute_4_78]) ).
cnf(refute_4_105,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(canonicalize,[],[normalize_4_53]) ).
cnf(refute_4_106,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_4_54]) ).
cnf(refute_4_107,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_4_108,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_4_109,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_4_107,refute_4_108]) ).
cnf(refute_4_110,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_4_27,refute_4_109]) ).
cnf(refute_4_111,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_4_112,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_4_110,refute_4_111]) ).
cnf(refute_4_113,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_4_114,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_115,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_4_113,refute_4_114]) ).
cnf(refute_4_116,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_65,refute_4_115]) ).
cnf(refute_4_117,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_4_118,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_4_116,refute_4_117]) ).
cnf(refute_4_119,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_4_74,refute_4_118]) ).
cnf(refute_4_120,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_4_121,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_4_119,refute_4_120]) ).
cnf(refute_4_122,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_4_112,refute_4_121]) ).
cnf(refute_4_123,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_4_106,refute_4_122]) ).
cnf(refute_4_124,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_4_55]) ).
cnf(refute_4_125,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_4_126,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_127,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) )],[refute_4_125,refute_4_126]) ).
cnf(refute_4_128,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_4_124,refute_4_127]) ).
cnf(refute_4_129,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) != op2(h12(e10),e23)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h12(e10),h12(e12)))),bind(Y,$fot(op2(h12(e10),e23))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_4_130,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),e23)) )],[refute_4_128,refute_4_129]) ).
cnf(refute_4_131,plain,
op2(h12(e10),h12(e12)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_4_123,refute_4_130]) ).
cnf(refute_4_132,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) != h8(e11)
| h12(op1(e10,e12)) = h8(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),h8(e11)) ),[0],$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_4_133,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),h8(e11)) )],[refute_4_131,refute_4_132]) ).
cnf(refute_4_134,plain,
h12(op1(e10,e12)) = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),op2(h12(e10),h12(e12))) )],[refute_4_105,refute_4_133]) ).
cnf(refute_4_135,plain,
op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10)),
inference(canonicalize,[],[normalize_4_57]) ).
cnf(refute_4_136,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_4_58]) ).
cnf(refute_4_137,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_4_60]) ).
cnf(refute_4_138,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_139,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_4_137,refute_4_138]) ).
cnf(refute_4_140,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_4_141,plain,
( op1(e13,e13) != e10
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_142,plain,
( op1(e13,e13) != e10
| op1(op1(e13,e13),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_4_140,refute_4_141]) ).
cnf(refute_4_143,plain,
op1(op1(e13,e13),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_142]) ).
cnf(refute_4_144,plain,
( op1(op1(e13,e13),e13) != op1(e10,e13)
| op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_4_145,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e10,e13)) )],[refute_4_143,refute_4_144]) ).
cnf(refute_4_146,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_4_147,plain,
( op1(e13,e13) != e10
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_4_148,plain,
( op1(e13,e13) != e10
| op1(e13,op1(e13,e13)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_4_146,refute_4_147]) ).
cnf(refute_4_149,plain,
op1(e13,op1(e13,e13)) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_148]) ).
cnf(refute_4_150,plain,
( op1(e10,e13) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e10)
| op1(e10,e13) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e10)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_4_151,plain,
( op1(e10,e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e10)) )],[refute_4_149,refute_4_150]) ).
cnf(refute_4_152,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,op1(e13,e13))) )],[refute_4_145,refute_4_151]) ).
cnf(refute_4_153,plain,
op1(e10,e13) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) )],[refute_4_136,refute_4_152]) ).
cnf(refute_4_154,plain,
( op1(e10,e13) != op1(e13,e10)
| op1(e13,e10) = op1(e10,e13) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_4_155,plain,
op1(e13,e10) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e10)) )],[refute_4_153,refute_4_154]) ).
cnf(refute_4_156,plain,
op1(e11,op1(e13,e10)) = op1(e11,op1(e13,e10)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e10)))]]) ).
cnf(refute_4_157,plain,
( op1(e11,op1(e13,e10)) != op1(e11,op1(e13,e10))
| op1(e13,e10) != op1(e10,e13)
| op1(e11,op1(e13,e10)) = op1(e11,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e10)),op1(e11,op1(e13,e10))) ),[1,1],$fot(op1(e10,e13))]]) ).
cnf(refute_4_158,plain,
( op1(e13,e10) != op1(e10,e13)
| op1(e11,op1(e13,e10)) = op1(e11,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e10)),op1(e11,op1(e13,e10))) )],[refute_4_156,refute_4_157]) ).
cnf(refute_4_159,plain,
op1(e11,op1(e13,e10)) = op1(e11,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e10,e13)) )],[refute_4_155,refute_4_158]) ).
cnf(refute_4_160,plain,
( op1(e11,op1(e13,e10)) != op1(e11,op1(e10,e13))
| op1(op1(e11,e13),e10) != op1(e11,op1(e13,e10))
| op1(op1(e11,e13),e10) = op1(e11,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e10),op1(e11,op1(e13,e10))) ),[1],$fot(op1(e11,op1(e10,e13)))]]) ).
cnf(refute_4_161,plain,
( op1(op1(e11,e13),e10) != op1(e11,op1(e13,e10))
| op1(op1(e11,e13),e10) = op1(e11,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e10)),op1(e11,op1(e10,e13))) )],[refute_4_159,refute_4_160]) ).
cnf(refute_4_162,plain,
op1(op1(e11,e13),e10) = op1(e11,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e10),op1(e11,op1(e13,e10))) )],[refute_4_135,refute_4_161]) ).
cnf(refute_4_163,plain,
op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13)),
inference(canonicalize,[],[normalize_4_61]) ).
cnf(refute_4_164,plain,
op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13)),
inference(canonicalize,[],[normalize_4_62]) ).
cnf(refute_4_165,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(canonicalize,[],[normalize_4_63]) ).
cnf(refute_4_166,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_4_66]) ).
cnf(refute_4_167,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_4_70]) ).
cnf(refute_4_168,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_72]) ).
cnf(refute_4_169,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_4_73]) ).
cnf(refute_4_170,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_4_171,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_4_169,refute_4_170]) ).
cnf(refute_4_172,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_173,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_171,refute_4_172]) ).
cnf(refute_4_174,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_4_173,refute_4_168]) ).
cnf(refute_4_175,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_4_167,refute_4_174]) ).
cnf(refute_4_176,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_4_79]) ).
cnf(refute_4_177,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_4_178,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_177]) ).
cnf(refute_4_179,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_4_176,refute_4_178]) ).
cnf(refute_4_180,plain,
e10 != e13,
inference(canonicalize,[],[normalize_4_81]) ).
cnf(refute_4_181,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_4_179,refute_4_180]) ).
cnf(refute_4_182,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_4_83]) ).
cnf(refute_4_183,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_4_184,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_183]) ).
cnf(refute_4_185,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_4_182,refute_4_184]) ).
cnf(refute_4_186,plain,
e10 != e12,
inference(canonicalize,[],[normalize_4_84]) ).
cnf(refute_4_187,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_4_185,refute_4_186]) ).
cnf(refute_4_188,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_4_181,refute_4_187]) ).
cnf(refute_4_189,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_4_188,refute_4_175]) ).
cnf(refute_4_190,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_4_166,refute_4_189]) ).
cnf(refute_4_191,plain,
op1(op1(e11,e11),e11) = op1(op1(e11,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e11))]]) ).
cnf(refute_4_192,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) != op1(op1(e11,e11),e11)
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_193,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) )],[refute_4_191,refute_4_192]) ).
cnf(refute_4_194,plain,
op1(op1(e11,e11),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_190,refute_4_193]) ).
cnf(refute_4_195,plain,
( op1(op1(e11,e11),e11) != op1(e10,e11)
| op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_4_196,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e10,e11)) )],[refute_4_194,refute_4_195]) ).
cnf(refute_4_197,plain,
op1(e11,op1(e11,e11)) = op1(e11,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_4_198,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_4_199,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) )],[refute_4_197,refute_4_198]) ).
cnf(refute_4_200,plain,
op1(e11,op1(e11,e11)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_190,refute_4_199]) ).
cnf(refute_4_201,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_4_202,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,e10)) )],[refute_4_200,refute_4_201]) ).
cnf(refute_4_203,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e11))) )],[refute_4_196,refute_4_202]) ).
cnf(refute_4_204,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) )],[refute_4_165,refute_4_203]) ).
cnf(refute_4_205,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_4_206,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_4_204,refute_4_205]) ).
cnf(refute_4_207,plain,
op1(op1(e11,e10),e13) = op1(op1(e11,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e13))]]) ).
cnf(refute_4_208,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e13) != op1(op1(e11,e10),e13)
| op1(op1(e11,e10),e13) = op1(op1(e10,e11),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e13),op1(op1(e11,e10),e13)) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_4_209,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e13) = op1(op1(e10,e11),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e13),op1(op1(e11,e10),e13)) )],[refute_4_207,refute_4_208]) ).
cnf(refute_4_210,plain,
op1(op1(e11,e10),e13) = op1(op1(e10,e11),e13),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_4_206,refute_4_209]) ).
cnf(refute_4_211,plain,
( op1(op1(e10,e11),e13) != op1(e10,op1(e11,e13))
| op1(op1(e11,e10),e13) != op1(op1(e10,e11),e13)
| op1(op1(e11,e10),e13) = op1(e10,op1(e11,e13)) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op1(op1(e11,e10),e13))),bind(Y,$fot(op1(op1(e10,e11),e13))),bind(Z,$fot(op1(e10,op1(e11,e13))))]]) ).
cnf(refute_4_212,plain,
( op1(op1(e10,e11),e13) != op1(e10,op1(e11,e13))
| op1(op1(e11,e10),e13) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e13),op1(op1(e10,e11),e13)) )],[refute_4_210,refute_4_211]) ).
cnf(refute_4_213,plain,
op1(op1(e11,e10),e13) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e13),op1(e10,op1(e11,e13))) )],[refute_4_164,refute_4_212]) ).
cnf(refute_4_214,plain,
( op1(op1(e11,e10),e13) != op1(e10,op1(e11,e13))
| op1(op1(e11,e10),e13) != op1(e11,op1(e10,e13))
| op1(e10,op1(e11,e13)) = op1(e11,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e13),op1(e11,op1(e10,e13))) ),[0],$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_4_215,plain,
( op1(op1(e11,e10),e13) != op1(e11,op1(e10,e13))
| op1(e10,op1(e11,e13)) = op1(e11,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e13),op1(e10,op1(e11,e13))) )],[refute_4_213,refute_4_214]) ).
cnf(refute_4_216,plain,
op1(e10,op1(e11,e13)) = op1(e11,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e13),op1(e11,op1(e10,e13))) )],[refute_4_163,refute_4_215]) ).
cnf(refute_4_217,plain,
( op1(e10,op1(e11,e13)) != op1(e11,op1(e10,e13))
| op1(e11,op1(e10,e13)) = op1(e10,op1(e11,e13)) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e10,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e13))))]]) ).
cnf(refute_4_218,plain,
op1(e11,op1(e10,e13)) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e11,op1(e10,e13))) )],[refute_4_216,refute_4_217]) ).
cnf(refute_4_219,plain,
( op1(e11,op1(e10,e13)) != op1(e10,op1(e11,e13))
| op1(op1(e11,e13),e10) != op1(e11,op1(e10,e13))
| op1(op1(e11,e13),e10) = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e10),op1(e11,op1(e10,e13))) ),[1],$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_4_220,plain,
( op1(op1(e11,e13),e10) != op1(e11,op1(e10,e13))
| op1(op1(e11,e13),e10) = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e13)),op1(e10,op1(e11,e13))) )],[refute_4_218,refute_4_219]) ).
cnf(refute_4_221,plain,
op1(op1(e11,e13),e10) = op1(e10,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e10),op1(e11,op1(e10,e13))) )],[refute_4_162,refute_4_220]) ).
cnf(refute_4_222,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_4_85]) ).
cnf(refute_4_223,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_4_224,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_4_225,plain,
( op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_4_223,refute_4_224]) ).
cnf(refute_4_226,plain,
op1(e11,op1(e13,e13)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_225]) ).
cnf(refute_4_227,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e10)
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_4_228,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e10)) )],[refute_4_226,refute_4_227]) ).
cnf(refute_4_229,plain,
op1(op1(e11,e13),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_4_222,refute_4_228]) ).
cnf(refute_4_230,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e11,e13),e13) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_4_231,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e11,e13),e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_4_206,refute_4_230]) ).
cnf(refute_4_232,plain,
op1(op1(e11,e13),e13) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_4_229,refute_4_231]) ).
cnf(refute_4_233,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_4_87]) ).
cnf(refute_4_234,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_88]) ).
cnf(refute_4_235,plain,
( op1(e11,e13) != e10
| op1(e13,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_4_236,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_235]) ).
cnf(refute_4_237,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_4_236,refute_4_234]) ).
cnf(refute_4_238,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_4_233,refute_4_237]) ).
cnf(refute_4_239,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_4_89]) ).
cnf(refute_4_240,plain,
( op1(e11,e13) != e11
| op1(e12,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_4_241,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_171,refute_4_240]) ).
cnf(refute_4_242,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_4_241,refute_4_239]) ).
cnf(refute_4_243,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_4_238,refute_4_242]) ).
cnf(refute_4_244,plain,
( op1(e11,e13) != e13
| op1(op1(e11,e13),e13) != op1(e10,e11)
| op1(e13,e13) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e10,e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_4_245,plain,
( op1(op1(e11,e13),e13) != op1(e10,e11)
| op1(e11,e13) = e12
| op1(e13,e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_4_243,refute_4_244]) ).
cnf(refute_4_246,plain,
( op1(e11,e13) = e12
| op1(e13,e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e10,e11)) )],[refute_4_232,refute_4_245]) ).
cnf(refute_4_247,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != op1(e10,e11)
| e10 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e10,e11)) ),[0],$fot(e10)]]) ).
cnf(refute_4_248,plain,
( op1(e13,e13) != op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_247]) ).
cnf(refute_4_249,plain,
( e10 = op1(e10,e11)
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e10,e11)) )],[refute_4_246,refute_4_248]) ).
cnf(refute_4_250,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_4_90]) ).
cnf(refute_4_251,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_4_252,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_4_190,refute_4_251]) ).
cnf(refute_4_253,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_4_252,refute_4_250]) ).
cnf(refute_4_254,plain,
( e10 != op1(e10,e11)
| op1(e10,e11) = e10 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e10,e11)))]]) ).
cnf(refute_4_255,plain,
e10 != op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_4_254,refute_4_253]) ).
cnf(refute_4_256,plain,
op1(e11,e13) = e12,
inference(resolve,[$cnf( $equal(e10,op1(e10,e11)) )],[refute_4_249,refute_4_255]) ).
cnf(refute_4_257,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_4_91]) ).
cnf(refute_4_258,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_4_259,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_260,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_4_258,refute_4_259]) ).
cnf(refute_4_261,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_171,refute_4_260]) ).
cnf(refute_4_262,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_4_263,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_4_261,refute_4_262]) ).
cnf(refute_4_264,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_4_265,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_4_266,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_4_264,refute_4_265]) ).
cnf(refute_4_267,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_139,refute_4_266]) ).
cnf(refute_4_268,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_4_269,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_4_267,refute_4_268]) ).
cnf(refute_4_270,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_4_263,refute_4_269]) ).
cnf(refute_4_271,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_4_257,refute_4_270]) ).
cnf(refute_4_272,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_4_273,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_4_271,refute_4_272]) ).
cnf(refute_4_274,plain,
( op1(e11,e13) != e12
| op1(e12,e10) != op1(e11,e13)
| op1(e12,e10) = e12 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op1(e12,e10))),bind(Y,$fot(op1(e11,e13))),bind(Z,$fot(e12))]]) ).
cnf(refute_4_275,plain,
( op1(e11,e13) != e12
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_4_273,refute_4_274]) ).
cnf(refute_4_276,plain,
op1(e12,e10) = e12,
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_4_256,refute_4_275]) ).
cnf(refute_4_277,plain,
op1(op1(e11,e13),e10) = op1(op1(e11,e13),e10),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),e10))]]) ).
cnf(refute_4_278,plain,
( op1(e11,e13) != e12
| op1(op1(e11,e13),e10) != op1(op1(e11,e13),e10)
| op1(op1(e11,e13),e10) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e10),op1(op1(e11,e13),e10)) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_279,plain,
( op1(e11,e13) != e12
| op1(op1(e11,e13),e10) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e10),op1(op1(e11,e13),e10)) )],[refute_4_277,refute_4_278]) ).
cnf(refute_4_280,plain,
op1(op1(e11,e13),e10) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_4_256,refute_4_279]) ).
cnf(refute_4_281,plain,
( op1(e12,e10) != e12
| op1(op1(e11,e13),e10) != op1(e12,e10)
| op1(op1(e11,e13),e10) = e12 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op1(op1(e11,e13),e10))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(e12))]]) ).
cnf(refute_4_282,plain,
( op1(e12,e10) != e12
| op1(op1(e11,e13),e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e10),op1(e12,e10)) )],[refute_4_280,refute_4_281]) ).
cnf(refute_4_283,plain,
op1(op1(e11,e13),e10) = e12,
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_4_276,refute_4_282]) ).
cnf(refute_4_284,plain,
( op1(op1(e11,e13),e10) != e12
| op1(op1(e11,e13),e10) != op1(e10,op1(e11,e13))
| e12 = op1(e10,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e10),op1(e10,op1(e11,e13))) ),[0],$fot(e12)]]) ).
cnf(refute_4_285,plain,
( op1(op1(e11,e13),e10) != op1(e10,op1(e11,e13))
| e12 = op1(e10,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e10),e12) )],[refute_4_283,refute_4_284]) ).
cnf(refute_4_286,plain,
op1(e10,op1(e11,e13)) = op1(e10,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_4_287,plain,
( op1(e10,op1(e11,e13)) != op1(e10,op1(e11,e13))
| op1(e11,e13) != e12
| op1(e10,op1(e11,e13)) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_4_288,plain,
( op1(e11,e13) != e12
| op1(e10,op1(e11,e13)) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,op1(e11,e13))) )],[refute_4_286,refute_4_287]) ).
cnf(refute_4_289,plain,
op1(e10,op1(e11,e13)) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_4_256,refute_4_288]) ).
cnf(refute_4_290,plain,
( e12 != op1(e10,op1(e11,e13))
| op1(e10,op1(e11,e13)) != op1(e10,e12)
| e12 = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e12,op1(e10,e12)) ),[0],$fot(op1(e10,op1(e11,e13)))]]) ).
cnf(refute_4_291,plain,
( e12 != op1(e10,op1(e11,e13))
| e12 = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e13)),op1(e10,e12)) )],[refute_4_289,refute_4_290]) ).
cnf(refute_4_292,plain,
( op1(op1(e11,e13),e10) != op1(e10,op1(e11,e13))
| e12 = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(e12,op1(e10,op1(e11,e13))) )],[refute_4_285,refute_4_291]) ).
cnf(refute_4_293,plain,
e12 = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e10),op1(e10,op1(e11,e13))) )],[refute_4_221,refute_4_292]) ).
cnf(refute_4_294,plain,
( e12 != op1(e10,e12)
| op1(e10,e12) = e12 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e12)),bind(Y,$fot(op1(e10,e12)))]]) ).
cnf(refute_4_295,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(e12,op1(e10,e12)) )],[refute_4_293,refute_4_294]) ).
cnf(refute_4_296,plain,
h12(op1(e10,e12)) = h12(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e12)))]]) ).
cnf(refute_4_297,plain,
( h12(op1(e10,e12)) != h12(op1(e10,e12))
| op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_298,plain,
( op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) )],[refute_4_296,refute_4_297]) ).
cnf(refute_4_299,plain,
h12(op1(e10,e12)) = h12(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_295,refute_4_298]) ).
cnf(refute_4_300,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) != h12(e12)
| h12(op1(e10,e12)) = e23 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(h12(op1(e10,e12)))),bind(Y,$fot(h12(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_4_301,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(e12)) )],[refute_4_299,refute_4_300]) ).
cnf(refute_4_302,plain,
h12(op1(e10,e12)) = e23,
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_4_124,refute_4_301]) ).
cnf(refute_4_303,plain,
( h12(op1(e10,e12)) != e23
| h12(op1(e10,e12)) != h8(e11)
| e23 = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_4_304,plain,
( h12(op1(e10,e12)) != h8(e11)
| e23 = h8(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),e23) )],[refute_4_302,refute_4_303]) ).
cnf(refute_4_305,plain,
e23 = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) )],[refute_4_134,refute_4_304]) ).
cnf(refute_4_306,plain,
( e23 != h8(e11)
| h8(e11) = e23 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_4_307,plain,
h8(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h8(e11)) )],[refute_4_305,refute_4_306]) ).
cnf(refute_4_308,plain,
( h6(e11) != e23
| h8(e11) != e23
| h6(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h8(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_4_309,plain,
( h6(e11) != e23
| h6(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(h8(e11),e23) )],[refute_4_307,refute_4_308]) ).
cnf(refute_4_310,plain,
h6(e11) != e23,
inference(resolve,[$cnf( $equal(h6(e11),h8(e11)) )],[refute_4_309,refute_4_104]) ).
cnf(refute_4_311,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_4_93]) ).
cnf(refute_4_312,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h6(e11)
| h6(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h6(e11))]]) ).
cnf(refute_4_313,plain,
( op2(e21,e23) != e20
| h6(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_312]) ).
cnf(refute_4_314,plain,
( h6(e11) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_4_311,refute_4_313]) ).
cnf(refute_4_315,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h6(e11)
| h6(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h6(e11))]]) ).
cnf(refute_4_316,plain,
( op2(e21,e23) != e21
| h6(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_315]) ).
cnf(refute_4_317,plain,
( h6(e11) = e20
| h6(e11) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_4_314,refute_4_316]) ).
cnf(refute_4_318,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h6(e11)
| h6(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h6(e11))]]) ).
cnf(refute_4_319,plain,
( op2(e21,e23) != e22
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_318]) ).
cnf(refute_4_320,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_4_317,refute_4_319]) ).
cnf(refute_4_321,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h6(e11)
| h6(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h6(e11))]]) ).
cnf(refute_4_322,plain,
( op2(e21,e23) != e23
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_321]) ).
cnf(refute_4_323,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_4_320,refute_4_322]) ).
cnf(refute_4_324,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_94]) ).
cnf(refute_4_325,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_4_326,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_325]) ).
cnf(refute_4_327,plain,
( h6(e11) != e20
| op2(e23,e23) != e20
| h6(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_4_328,plain,
( h6(e11) != e20
| h6(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_327]) ).
cnf(refute_4_329,plain,
( h6(e11) != e20
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e23,e23)) )],[refute_4_328,refute_4_326]) ).
cnf(refute_4_330,plain,
h6(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_4_329,refute_4_324]) ).
cnf(refute_4_331,plain,
( h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e20) )],[refute_4_323,refute_4_330]) ).
cnf(refute_4_332,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_95]) ).
cnf(refute_4_333,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_334,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_333]) ).
cnf(refute_4_335,plain,
( h6(e11) != e21
| op2(e22,e23) != e21
| h6(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_336,plain,
( h6(e11) != e21
| h6(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_65,refute_4_335]) ).
cnf(refute_4_337,plain,
( h6(e11) != e21
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e23)) )],[refute_4_336,refute_4_334]) ).
cnf(refute_4_338,plain,
h6(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_4_337,refute_4_332]) ).
cnf(refute_4_339,plain,
( h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e21) )],[refute_4_331,refute_4_338]) ).
cnf(refute_4_340,plain,
( e23 != e23
| h6(e11) != e23
| h6(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e23) ),[1],$fot(e23)]]) ).
cnf(refute_4_341,plain,
( e23 != e23
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e23) )],[refute_4_339,refute_4_340]) ).
cnf(refute_4_342,plain,
( e23 != e23
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(h6(e11),e23) )],[refute_4_341,refute_4_310]) ).
cnf(refute_4_343,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_4_344,plain,
h6(e11) = e22,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_343,refute_4_342]) ).
cnf(refute_4_345,plain,
op2(h6(e11),e23) = op2(h6(e11),e23),
introduced(tautology,[refl,[$fot(op2(h6(e11),e23))]]) ).
cnf(refute_4_346,plain,
( h6(e11) != e22
| op2(h6(e11),e23) != op2(h6(e11),e23)
| op2(h6(e11),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e23),op2(h6(e11),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_4_347,plain,
( h6(e11) != e22
| op2(h6(e11),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),op2(h6(e11),e23)) )],[refute_4_345,refute_4_346]) ).
cnf(refute_4_348,plain,
op2(h6(e11),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_4_344,refute_4_347]) ).
cnf(refute_4_349,plain,
( op2(e22,e23) != e21
| op2(h6(e11),e23) != op2(e22,e23)
| op2(h6(e11),e23) = e21 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h6(e11),e23))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_4_350,plain,
( op2(e22,e23) != e21
| op2(h6(e11),e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),op2(e22,e23)) )],[refute_4_348,refute_4_349]) ).
cnf(refute_4_351,plain,
op2(h6(e11),e23) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_65,refute_4_350]) ).
cnf(refute_4_352,plain,
( op2(h6(e11),e23) != e21
| op2(h6(e11),e23) != h4(e11)
| e21 = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e23),h4(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_4_353,plain,
( op2(h6(e11),e23) != h4(e11)
| e21 = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),e21) )],[refute_4_351,refute_4_352]) ).
cnf(refute_4_354,plain,
e21 = h4(e11),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),h4(e11)) )],[refute_4_62,refute_4_353]) ).
cnf(refute_4_355,plain,
( e21 != h4(e11)
| h4(e11) = e21 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e21)),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_4_356,plain,
h4(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h4(e11)) )],[refute_4_354,refute_4_355]) ).
cnf(refute_4_357,plain,
( h4(e11) != e21
| op2(e21,e20) != h4(e11)
| op2(e21,e20) = e21 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e21,e20))),bind(Y,$fot(h4(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_4_358,plain,
( h4(e11) != e21
| op2(e21,e20) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_4_48,refute_4_357]) ).
cnf(refute_4_359,plain,
op2(e21,e20) = e21,
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_356,refute_4_358]) ).
cnf(refute_4_360,plain,
op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23)),
inference(canonicalize,[],[normalize_4_96]) ).
cnf(refute_4_361,plain,
op2(op2(e22,e21),e23) = op2(op2(e22,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e23))]]) ).
cnf(refute_4_362,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e23) != op2(op2(e22,e21),e23)
| op2(op2(e22,e21),e23) = op2(h8(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e23),op2(op2(e22,e21),e23)) ),[1,0],$fot(h8(e11))]]) ).
cnf(refute_4_363,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e23) = op2(h8(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),op2(op2(e22,e21),e23)) )],[refute_4_361,refute_4_362]) ).
cnf(refute_4_364,plain,
op2(op2(e22,e21),e23) = op2(h8(e11),e23),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_4_74,refute_4_363]) ).
cnf(refute_4_365,plain,
( op2(op2(e22,e21),e23) != op2(e22,op2(e21,e23))
| op2(op2(e22,e21),e23) != op2(h8(e11),e23)
| op2(h8(e11),e23) = op2(e22,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e23),op2(e22,op2(e21,e23))) ),[0],$fot(op2(h8(e11),e23))]]) ).
cnf(refute_4_366,plain,
( op2(op2(e22,e21),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),op2(h8(e11),e23)) )],[refute_4_364,refute_4_365]) ).
cnf(refute_4_367,plain,
op2(e22,op2(e21,e23)) = op2(e22,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e23)))]]) ).
cnf(refute_4_368,plain,
( op2(e21,e23) != h6(e11)
| op2(e22,op2(e21,e23)) != op2(e22,op2(e21,e23))
| op2(e22,op2(e21,e23)) = op2(e22,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e23)),op2(e22,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_4_369,plain,
( op2(e21,e23) != h6(e11)
| op2(e22,op2(e21,e23)) = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e23)),op2(e22,op2(e21,e23))) )],[refute_4_367,refute_4_368]) ).
cnf(refute_4_370,plain,
op2(e22,op2(e21,e23)) = op2(e22,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_369]) ).
cnf(refute_4_371,plain,
( op2(e22,op2(e21,e23)) != op2(e22,h6(e11))
| op2(h8(e11),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e23),op2(e22,op2(e21,e23))) ),[1],$fot(op2(e22,h6(e11)))]]) ).
cnf(refute_4_372,plain,
( op2(h8(e11),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e23)),op2(e22,h6(e11))) )],[refute_4_370,refute_4_371]) ).
cnf(refute_4_373,plain,
( op2(op2(e22,e21),e23) != op2(e22,op2(e21,e23))
| op2(h8(e11),e23) = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(e22,op2(e21,e23))) )],[refute_4_366,refute_4_372]) ).
cnf(refute_4_374,plain,
op2(h8(e11),e23) = op2(e22,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e23),op2(e22,op2(e21,e23))) )],[refute_4_360,refute_4_373]) ).
cnf(refute_4_375,plain,
op2(h8(e11),e23) = op2(h8(e11),e23),
introduced(tautology,[refl,[$fot(op2(h8(e11),e23))]]) ).
cnf(refute_4_376,plain,
( h8(e11) != e23
| op2(h8(e11),e23) != op2(h8(e11),e23)
| op2(h8(e11),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e23),op2(h8(e11),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_377,plain,
( h8(e11) != e23
| op2(h8(e11),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(h8(e11),e23)) )],[refute_4_375,refute_4_376]) ).
cnf(refute_4_378,plain,
op2(h8(e11),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h8(e11),e23) )],[refute_4_307,refute_4_377]) ).
cnf(refute_4_379,plain,
( op2(e23,e23) != e20
| op2(h8(e11),e23) != op2(e23,e23)
| op2(h8(e11),e23) = e20 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h8(e11),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_4_380,plain,
( op2(e23,e23) != e20
| op2(h8(e11),e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(e23,e23)) )],[refute_4_378,refute_4_379]) ).
cnf(refute_4_381,plain,
op2(h8(e11),e23) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_380]) ).
cnf(refute_4_382,plain,
( op2(h8(e11),e23) != e20
| op2(h8(e11),e23) != op2(e22,h6(e11))
| e20 = op2(e22,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e23),op2(e22,h6(e11))) ),[0],$fot(e20)]]) ).
cnf(refute_4_383,plain,
( op2(h8(e11),e23) != op2(e22,h6(e11))
| e20 = op2(e22,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),e20) )],[refute_4_381,refute_4_382]) ).
cnf(refute_4_384,plain,
e20 = op2(e22,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h8(e11),e23),op2(e22,h6(e11))) )],[refute_4_374,refute_4_383]) ).
cnf(refute_4_385,plain,
op2(e22,h6(e11)) = op2(e22,h6(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h6(e11)))]]) ).
cnf(refute_4_386,plain,
( h6(e11) != e22
| op2(e22,h6(e11)) != op2(e22,h6(e11))
| op2(e22,h6(e11)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h6(e11)),op2(e22,h6(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_4_387,plain,
( h6(e11) != e22
| op2(e22,h6(e11)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h6(e11)),op2(e22,h6(e11))) )],[refute_4_385,refute_4_386]) ).
cnf(refute_4_388,plain,
op2(e22,h6(e11)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_4_344,refute_4_387]) ).
cnf(refute_4_389,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,h6(e11)) != op2(e22,e22)
| op2(e22,h6(e11)) = h12(e10) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e22,h6(e11)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_4_390,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,h6(e11)) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,h6(e11)),op2(e22,e22)) )],[refute_4_388,refute_4_389]) ).
cnf(refute_4_391,plain,
op2(e22,h6(e11)) = h12(e10),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_4_27,refute_4_390]) ).
cnf(refute_4_392,plain,
( e20 != op2(e22,h6(e11))
| op2(e22,h6(e11)) != h12(e10)
| e20 = h12(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h12(e10)) ),[0],$fot(op2(e22,h6(e11)))]]) ).
cnf(refute_4_393,plain,
( e20 != op2(e22,h6(e11))
| e20 = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,h6(e11)),h12(e10)) )],[refute_4_391,refute_4_392]) ).
cnf(refute_4_394,plain,
e20 = h12(e10),
inference(resolve,[$cnf( $equal(e20,op2(e22,h6(e11))) )],[refute_4_384,refute_4_393]) ).
cnf(refute_4_395,plain,
( e20 != h12(e10)
| h12(e10) = e20 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e20)),bind(Y,$fot(h12(e10)))]]) ).
cnf(refute_4_396,plain,
h12(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h12(e10)) )],[refute_4_394,refute_4_395]) ).
cnf(refute_4_397,plain,
op2(e21,h12(e10)) = op2(e21,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_4_398,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) != op2(e21,h12(e10))
| op2(e21,h12(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_399,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) )],[refute_4_397,refute_4_398]) ).
cnf(refute_4_400,plain,
op2(e21,h12(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_4_396,refute_4_399]) ).
cnf(refute_4_401,plain,
( op2(e21,e20) != e21
| op2(e21,h12(e10)) != op2(e21,e20)
| op2(e21,h12(e10)) = e21 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e21,h12(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(e21))]]) ).
cnf(refute_4_402,plain,
( op2(e21,e20) != e21
| op2(e21,h12(e10)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,e20)) )],[refute_4_400,refute_4_401]) ).
cnf(refute_4_403,plain,
op2(e21,h12(e10)) = e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_359,refute_4_402]) ).
cnf(refute_4_404,plain,
( op2(e21,h12(e10)) != e21
| op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) ),[1],$fot(e21)]]) ).
cnf(refute_4_405,plain,
( op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),e21) )],[refute_4_403,refute_4_404]) ).
cnf(refute_4_406,plain,
op2(h5(e11),e22) = e21,
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) )],[refute_4_35,refute_4_405]) ).
cnf(refute_4_407,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_4_97]) ).
cnf(refute_4_408,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_4_409,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_4_407,refute_4_408]) ).
cnf(refute_4_410,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_4_98]) ).
cnf(refute_4_411,plain,
h1(e10) = op2(e21,e21),
inference(canonicalize,[],[normalize_4_99]) ).
cnf(refute_4_412,plain,
( h1(e10) != op2(e21,e21)
| op2(e21,e21) = h1(e10) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_413,plain,
op2(e21,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e21)) )],[refute_4_411,refute_4_412]) ).
cnf(refute_4_414,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_4_415,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_4_416,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_4_414,refute_4_415]) ).
cnf(refute_4_417,plain,
op2(op2(e21,e21),e23) = op2(h1(e10),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_4_413,refute_4_416]) ).
cnf(refute_4_418,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h1(e10),e23))]]) ).
cnf(refute_4_419,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h1(e10),e23)) )],[refute_4_417,refute_4_418]) ).
cnf(refute_4_420,plain,
op2(e21,op2(e21,e23)) = op2(e21,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e23)))]]) ).
cnf(refute_4_421,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_4_422,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) )],[refute_4_420,refute_4_421]) ).
cnf(refute_4_423,plain,
op2(e21,op2(e21,e23)) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_4_39,refute_4_422]) ).
cnf(refute_4_424,plain,
( op2(e21,op2(e21,e23)) != op2(e21,h6(e11))
| op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) ),[1],$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_4_425,plain,
( op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h6(e11))) )],[refute_4_423,refute_4_424]) ).
cnf(refute_4_426,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) )],[refute_4_419,refute_4_425]) ).
cnf(refute_4_427,plain,
op2(h1(e10),e23) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_4_410,refute_4_426]) ).
cnf(refute_4_428,plain,
op2(e21,h6(e11)) = op2(e21,h6(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_4_429,plain,
( h6(e11) != e22
| op2(e21,h6(e11)) != op2(e21,h6(e11))
| op2(e21,h6(e11)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_4_430,plain,
( h6(e11) != e22
| op2(e21,h6(e11)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) )],[refute_4_428,refute_4_429]) ).
cnf(refute_4_431,plain,
op2(e21,h6(e11)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_4_344,refute_4_430]) ).
cnf(refute_4_432,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h6(e11)) != op2(e21,e22)
| op2(e21,h6(e11)) = h5(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e21,h6(e11)))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_4_433,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h6(e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,e22)) )],[refute_4_431,refute_4_432]) ).
cnf(refute_4_434,plain,
op2(e21,h6(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_4_7,refute_4_433]) ).
cnf(refute_4_435,plain,
( op2(e21,h6(e11)) != h5(e11)
| op2(h1(e10),e23) != op2(e21,h6(e11))
| op2(h1(e10),e23) = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) ),[1],$fot(h5(e11))]]) ).
cnf(refute_4_436,plain,
( op2(h1(e10),e23) != op2(e21,h6(e11))
| op2(h1(e10),e23) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),h5(e11)) )],[refute_4_434,refute_4_435]) ).
cnf(refute_4_437,plain,
op2(h1(e10),e23) = h5(e11),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) )],[refute_4_427,refute_4_436]) ).
cnf(refute_4_438,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_4_100]) ).
cnf(refute_4_439,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_101]) ).
cnf(refute_4_440,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_4_441,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_4_438,refute_4_440]) ).
cnf(refute_4_442,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_4_443,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_444,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_4_442,refute_4_443]) ).
cnf(refute_4_445,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_444]) ).
cnf(refute_4_446,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_4_447,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_4_445,refute_4_446]) ).
cnf(refute_4_448,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_4_441,refute_4_447]) ).
cnf(refute_4_449,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_4_450,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_4_448,refute_4_449]) ).
cnf(refute_4_451,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_4_102]) ).
cnf(refute_4_452,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_4_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_4_453,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_4_451,refute_4_452]) ).
cnf(refute_4_454,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_455,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_456,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_4_454,refute_4_455]) ).
cnf(refute_4_457,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_456]) ).
cnf(refute_4_458,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_4_459,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_4_457,refute_4_458]) ).
cnf(refute_4_460,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_4_453,refute_4_459]) ).
cnf(refute_4_461,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_4_462,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_4_460,refute_4_461]) ).
cnf(refute_4_463,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_4_450,refute_4_462]) ).
cnf(refute_4_464,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_4_439,refute_4_463]) ).
cnf(refute_4_465,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_4_466,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_4_464,refute_4_465]) ).
cnf(refute_4_467,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_4_438,refute_4_466]) ).
cnf(refute_4_468,plain,
op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20)),
inference(canonicalize,[],[normalize_4_103]) ).
cnf(refute_4_469,plain,
op2(op2(e22,e21),e20) = op2(op2(e22,e21),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e20))]]) ).
cnf(refute_4_470,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e20) != op2(op2(e22,e21),e20)
| op2(op2(e22,e21),e20) = op2(h8(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e20),op2(op2(e22,e21),e20)) ),[1,0],$fot(h8(e11))]]) ).
cnf(refute_4_471,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e20) = op2(h8(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e20),op2(op2(e22,e21),e20)) )],[refute_4_469,refute_4_470]) ).
cnf(refute_4_472,plain,
op2(op2(e22,e21),e20) = op2(h8(e11),e20),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_4_74,refute_4_471]) ).
cnf(refute_4_473,plain,
( op2(op2(e22,e21),e20) != op2(e22,op2(e21,e20))
| op2(op2(e22,e21),e20) != op2(h8(e11),e20)
| op2(h8(e11),e20) = op2(e22,op2(e21,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e20),op2(e22,op2(e21,e20))) ),[0],$fot(op2(h8(e11),e20))]]) ).
cnf(refute_4_474,plain,
( op2(op2(e22,e21),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,op2(e21,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e20),op2(h8(e11),e20)) )],[refute_4_472,refute_4_473]) ).
cnf(refute_4_475,plain,
op2(e22,op2(e21,e20)) = op2(e22,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e20)))]]) ).
cnf(refute_4_476,plain,
( op2(e21,e20) != h4(e11)
| op2(e22,op2(e21,e20)) != op2(e22,op2(e21,e20))
| op2(e22,op2(e21,e20)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e20)),op2(e22,op2(e21,e20))) ),[1,1],$fot(h4(e11))]]) ).
cnf(refute_4_477,plain,
( op2(e21,e20) != h4(e11)
| op2(e22,op2(e21,e20)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e20)),op2(e22,op2(e21,e20))) )],[refute_4_475,refute_4_476]) ).
cnf(refute_4_478,plain,
op2(e22,op2(e21,e20)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_4_48,refute_4_477]) ).
cnf(refute_4_479,plain,
( op2(e22,op2(e21,e20)) != op2(e22,h4(e11))
| op2(h8(e11),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e20),op2(e22,op2(e21,e20))) ),[1],$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_4_480,plain,
( op2(h8(e11),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e20)),op2(e22,h4(e11))) )],[refute_4_478,refute_4_479]) ).
cnf(refute_4_481,plain,
( op2(op2(e22,e21),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(e22,op2(e21,e20))) )],[refute_4_474,refute_4_480]) ).
cnf(refute_4_482,plain,
op2(h8(e11),e20) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e20),op2(e22,op2(e21,e20))) )],[refute_4_468,refute_4_481]) ).
cnf(refute_4_483,plain,
op2(h8(e11),e20) = op2(h8(e11),e20),
introduced(tautology,[refl,[$fot(op2(h8(e11),e20))]]) ).
cnf(refute_4_484,plain,
( h8(e11) != e23
| op2(h8(e11),e20) != op2(h8(e11),e20)
| op2(h8(e11),e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e20),op2(h8(e11),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_485,plain,
( h8(e11) != e23
| op2(h8(e11),e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(h8(e11),e20)) )],[refute_4_483,refute_4_484]) ).
cnf(refute_4_486,plain,
op2(h8(e11),e20) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h8(e11),e23) )],[refute_4_307,refute_4_485]) ).
cnf(refute_4_487,plain,
( op2(e23,e20) != h10(e11)
| op2(h8(e11),e20) != op2(e23,e20)
| op2(h8(e11),e20) = h10(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h8(e11),e20))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_4_488,plain,
( op2(e23,e20) != h10(e11)
| op2(h8(e11),e20) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(e23,e20)) )],[refute_4_486,refute_4_487]) ).
cnf(refute_4_489,plain,
op2(h8(e11),e20) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_4_453,refute_4_488]) ).
cnf(refute_4_490,plain,
( op2(h8(e11),e20) != h10(e11)
| op2(h8(e11),e20) != op2(e22,h4(e11))
| h10(e11) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e20),op2(e22,h4(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_4_491,plain,
( op2(h8(e11),e20) != op2(e22,h4(e11))
| h10(e11) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),h10(e11)) )],[refute_4_489,refute_4_490]) ).
cnf(refute_4_492,plain,
h10(e11) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(e22,h4(e11))) )],[refute_4_482,refute_4_491]) ).
cnf(refute_4_493,plain,
( h8(e11) != e23
| h8(e11) != op2(e22,e21)
| e23 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h8(e11),op2(e22,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_4_494,plain,
( h8(e11) != op2(e22,e21)
| e23 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h8(e11),e23) )],[refute_4_307,refute_4_493]) ).
cnf(refute_4_495,plain,
e23 = op2(e22,e21),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_4_72,refute_4_494]) ).
cnf(refute_4_496,plain,
( e23 != op2(e22,e21)
| op2(e22,e21) = e23 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_4_497,plain,
op2(e22,e21) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e21)) )],[refute_4_495,refute_4_496]) ).
cnf(refute_4_498,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_4_499,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_500,plain,
( h4(e11) != e21
| op2(e22,h4(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_4_498,refute_4_499]) ).
cnf(refute_4_501,plain,
op2(e22,h4(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_4_356,refute_4_500]) ).
cnf(refute_4_502,plain,
( op2(e22,e21) != e23
| op2(e22,h4(e11)) != op2(e22,e21)
| op2(e22,h4(e11)) = e23 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(e22,h4(e11)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e23))]]) ).
cnf(refute_4_503,plain,
( op2(e22,e21) != e23
| op2(e22,h4(e11)) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,e21)) )],[refute_4_501,refute_4_502]) ).
cnf(refute_4_504,plain,
op2(e22,h4(e11)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e21),e23) )],[refute_4_497,refute_4_503]) ).
cnf(refute_4_505,plain,
( h10(e11) != op2(e22,h4(e11))
| op2(e22,h4(e11)) != e23
| h10(e11) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),e23) ),[0],$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_4_506,plain,
( h10(e11) != op2(e22,h4(e11))
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),e23) )],[refute_4_504,refute_4_505]) ).
cnf(refute_4_507,plain,
h10(e11) = e23,
inference(resolve,[$cnf( $equal(h10(e11),op2(e22,h4(e11))) )],[refute_4_492,refute_4_506]) ).
cnf(refute_4_508,plain,
( h10(e11) != e23
| h10(e11) != op2(e20,e23)
| e23 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h10(e11),op2(e20,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_4_509,plain,
( h10(e11) != op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_4_507,refute_4_508]) ).
cnf(refute_4_510,plain,
e23 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_4_467,refute_4_509]) ).
cnf(refute_4_511,plain,
( e23 != op2(e20,e23)
| op2(e20,e23) = e23 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_4_512,plain,
op2(e20,e23) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e23)) )],[refute_4_510,refute_4_511]) ).
cnf(refute_4_513,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_4_106]) ).
cnf(refute_4_514,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_4_515,plain,
( op2(e21,e21) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_4_413,refute_4_514]) ).
cnf(refute_4_516,plain,
( h1(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_4_513,refute_4_515]) ).
cnf(refute_4_517,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_4_110]) ).
cnf(refute_4_518,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_4_519,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_4_27,refute_4_518]) ).
cnf(refute_4_520,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_4_517,refute_4_519]) ).
cnf(refute_4_521,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_4_111]) ).
cnf(refute_4_522,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_4_523,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_4_27,refute_4_522]) ).
cnf(refute_4_524,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_4_525,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_65,refute_4_524]) ).
cnf(refute_4_526,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_4_525,refute_4_523]) ).
cnf(refute_4_527,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_4_526,refute_4_521]) ).
cnf(refute_4_528,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_4_520,refute_4_527]) ).
cnf(refute_4_529,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_4_117]) ).
cnf(refute_4_530,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_4_531,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_530]) ).
cnf(refute_4_532,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_4_529,refute_4_531]) ).
cnf(refute_4_533,plain,
e20 != e23,
inference(canonicalize,[],[normalize_4_119]) ).
cnf(refute_4_534,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_4_532,refute_4_533]) ).
cnf(refute_4_535,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_4_121]) ).
cnf(refute_4_536,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_4_537,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_4_51,refute_4_536]) ).
cnf(refute_4_538,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_4_535,refute_4_537]) ).
cnf(refute_4_539,plain,
e20 != e22,
inference(canonicalize,[],[normalize_4_122]) ).
cnf(refute_4_540,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_4_538,refute_4_539]) ).
cnf(refute_4_541,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_4_534,refute_4_540]) ).
cnf(refute_4_542,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_4_541,refute_4_528]) ).
cnf(refute_4_543,plain,
h1(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_4_516,refute_4_542]) ).
cnf(refute_4_544,plain,
op2(h1(e10),e23) = op2(h1(e10),e23),
introduced(tautology,[refl,[$fot(op2(h1(e10),e23))]]) ).
cnf(refute_4_545,plain,
( h1(e10) != e20
| op2(h1(e10),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_546,plain,
( h1(e10) != e20
| op2(h1(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) )],[refute_4_544,refute_4_545]) ).
cnf(refute_4_547,plain,
op2(h1(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_543,refute_4_546]) ).
cnf(refute_4_548,plain,
( op2(e20,e23) != e23
| op2(h1(e10),e23) != op2(e20,e23)
| op2(h1(e10),e23) = e23 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h1(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e23))]]) ).
cnf(refute_4_549,plain,
( op2(e20,e23) != e23
| op2(h1(e10),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e20,e23)) )],[refute_4_547,refute_4_548]) ).
cnf(refute_4_550,plain,
op2(h1(e10),e23) = e23,
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_4_512,refute_4_549]) ).
cnf(refute_4_551,plain,
( op2(h1(e10),e23) != e23
| op2(h1(e10),e23) != h5(e11)
| e23 = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),h5(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_4_552,plain,
( op2(h1(e10),e23) != h5(e11)
| e23 = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),e23) )],[refute_4_550,refute_4_551]) ).
cnf(refute_4_553,plain,
e23 = h5(e11),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),h5(e11)) )],[refute_4_437,refute_4_552]) ).
cnf(refute_4_554,plain,
( e23 != h5(e11)
| h5(e11) = e23 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e23)),bind(Y,$fot(h5(e11)))]]) ).
cnf(refute_4_555,plain,
h5(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h5(e11)) )],[refute_4_553,refute_4_554]) ).
cnf(refute_4_556,plain,
op2(h5(e11),e22) = op2(h5(e11),e22),
introduced(tautology,[refl,[$fot(op2(h5(e11),e22))]]) ).
cnf(refute_4_557,plain,
( h5(e11) != e23
| op2(h5(e11),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_558,plain,
( h5(e11) != e23
| op2(h5(e11),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) )],[refute_4_556,refute_4_557]) ).
cnf(refute_4_559,plain,
op2(h5(e11),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h5(e11),e23) )],[refute_4_555,refute_4_558]) ).
cnf(refute_4_560,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) != op2(e23,e22)
| op2(h5(e11),e22) = h12(e11) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h5(e11),e22))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_4_561,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e23,e22)) )],[refute_4_559,refute_4_560]) ).
cnf(refute_4_562,plain,
op2(h5(e11),e22) = h12(e11),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_4_409,refute_4_561]) ).
cnf(refute_4_563,plain,
( op2(h5(e11),e22) != e21
| op2(h5(e11),e22) != h12(e11)
| h12(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),e21) ),[0],$fot(h12(e11))]]) ).
cnf(refute_4_564,plain,
( op2(h5(e11),e22) != e21
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h12(e11)) )],[refute_4_562,refute_4_563]) ).
cnf(refute_4_565,plain,
h12(e11) = e21,
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),e21) )],[refute_4_406,refute_4_564]) ).
cnf(refute_4_566,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(canonicalize,[],[normalize_4_123]) ).
cnf(refute_4_567,plain,
op1(e10,op1(e12,e13)) = op1(e10,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e13)))]]) ).
cnf(refute_4_568,plain,
( op1(e10,op1(e12,e13)) != op1(e10,op1(e12,e13))
| op1(e12,e13) != e11
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,op1(e12,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_4_569,plain,
( op1(e12,e13) != e11
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,op1(e12,e13))) )],[refute_4_567,refute_4_568]) ).
cnf(refute_4_570,plain,
op1(e10,op1(e12,e13)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_171,refute_4_569]) ).
cnf(refute_4_571,plain,
( op1(e10,op1(e12,e13)) != op1(e10,e11)
| op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_4_572,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) )],[refute_4_570,refute_4_571]) ).
cnf(refute_4_573,plain,
op1(op1(e10,e12),e13) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_4_566,refute_4_572]) ).
cnf(refute_4_574,plain,
op1(op1(e10,e12),e13) = op1(op1(e10,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e13))]]) ).
cnf(refute_4_575,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e13) != op1(op1(e10,e12),e13)
| op1(op1(e10,e12),e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(op1(e10,e12),e13)) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_576,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(op1(e10,e12),e13)) )],[refute_4_574,refute_4_575]) ).
cnf(refute_4_577,plain,
op1(op1(e10,e12),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_295,refute_4_576]) ).
cnf(refute_4_578,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) != op1(e12,e13)
| op1(op1(e10,e12),e13) = e11 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op1(op1(e10,e12),e13))),bind(Y,$fot(op1(e12,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_4_579,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e12,e13)) )],[refute_4_577,refute_4_578]) ).
cnf(refute_4_580,plain,
op1(op1(e10,e12),e13) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_171,refute_4_579]) ).
cnf(refute_4_581,plain,
( op1(op1(e10,e12),e13) != e11
| op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) ),[0],$fot(e11)]]) ).
cnf(refute_4_582,plain,
( op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),e11) )],[refute_4_580,refute_4_581]) ).
cnf(refute_4_583,plain,
e11 = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) )],[refute_4_573,refute_4_582]) ).
cnf(refute_4_584,plain,
( e11 != op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e11)))]]) ).
cnf(refute_4_585,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e11)) )],[refute_4_583,refute_4_584]) ).
cnf(refute_4_586,plain,
( op1(e10,e11) != e11
| op1(e10,e11) != op1(e11,e10)
| e11 = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(e11)]]) ).
cnf(refute_4_587,plain,
( op1(e10,e11) != op1(e11,e10)
| e11 = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_4_585,refute_4_586]) ).
cnf(refute_4_588,plain,
e11 = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_4_204,refute_4_587]) ).
cnf(refute_4_589,plain,
( e11 != op1(e11,e10)
| op1(e11,e10) = e11 ),
inference(subst,[],[refute_4_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_4_590,plain,
op1(e11,e10) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e11,e10)) )],[refute_4_588,refute_4_589]) ).
cnf(refute_4_591,plain,
h12(op1(e11,e10)) = h12(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e10)))]]) ).
cnf(refute_4_592,plain,
( h12(op1(e11,e10)) != h12(op1(e11,e10))
| op1(e11,e10) != e11
| h12(op1(e11,e10)) = h12(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e10)),h12(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_593,plain,
( op1(e11,e10) != e11
| h12(op1(e11,e10)) = h12(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),h12(op1(e11,e10))) )],[refute_4_591,refute_4_592]) ).
cnf(refute_4_594,plain,
h12(op1(e11,e10)) = h12(e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_4_590,refute_4_593]) ).
cnf(refute_4_595,plain,
( h12(e11) != e21
| h12(op1(e11,e10)) != h12(e11)
| h12(op1(e11,e10)) = e21 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(h12(op1(e11,e10)))),bind(Y,$fot(h12(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_4_596,plain,
( h12(e11) != e21
| h12(op1(e11,e10)) = e21 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),h12(e11)) )],[refute_4_594,refute_4_595]) ).
cnf(refute_4_597,plain,
h12(op1(e11,e10)) = e21,
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_4_565,refute_4_596]) ).
cnf(refute_4_598,plain,
( e21 != op2(h12(e11),h12(e10))
| h12(op1(e11,e10)) != e21
| h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e10)),e21) ),[1],$fot(op2(h12(e11),h12(e10)))]]) ).
cnf(refute_4_599,plain,
( e21 != op2(h12(e11),h12(e10))
| h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),e21) )],[refute_4_597,refute_4_598]) ).
cnf(refute_4_600,plain,
op2(h12(e11),h12(e10)) = op2(h12(e11),h12(e10)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e10)))]]) ).
cnf(refute_4_601,plain,
( h12(e11) != e21
| op2(h12(e11),h12(e10)) != op2(h12(e11),h12(e10))
| op2(h12(e11),h12(e10)) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(h12(e11),h12(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_602,plain,
( h12(e11) != e21
| op2(h12(e11),h12(e10)) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(h12(e11),h12(e10))) )],[refute_4_600,refute_4_601]) ).
cnf(refute_4_603,plain,
op2(h12(e11),h12(e10)) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_4_565,refute_4_602]) ).
cnf(refute_4_604,plain,
( op2(e21,h12(e10)) != op2(e21,e20)
| op2(h12(e11),h12(e10)) != op2(e21,h12(e10))
| op2(h12(e11),h12(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h12(e11),h12(e10)))),bind(Y,$fot(op2(e21,h12(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_4_605,plain,
( op2(e21,h12(e10)) != op2(e21,e20)
| op2(h12(e11),h12(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(e21,h12(e10))) )],[refute_4_603,refute_4_604]) ).
cnf(refute_4_606,plain,
op2(h12(e11),h12(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,e20)) )],[refute_4_400,refute_4_605]) ).
cnf(refute_4_607,plain,
( op2(e21,e20) != e21
| op2(h12(e11),h12(e10)) != op2(e21,e20)
| op2(h12(e11),h12(e10)) = e21 ),
inference(subst,[],[refute_4_24:[bind(X,$fot(op2(h12(e11),h12(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(e21))]]) ).
cnf(refute_4_608,plain,
( op2(e21,e20) != e21
| op2(h12(e11),h12(e10)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(e21,e20)) )],[refute_4_606,refute_4_607]) ).
cnf(refute_4_609,plain,
op2(h12(e11),h12(e10)) = e21,
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_4_359,refute_4_608]) ).
cnf(refute_4_610,plain,
( e21 != e21
| op2(h12(e11),h12(e10)) != e21
| e21 = op2(h12(e11),h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h12(e11),h12(e10))) ),[1],$fot(e21)]]) ).
cnf(refute_4_611,plain,
( e21 != e21
| e21 = op2(h12(e11),h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e10)),e21) )],[refute_4_609,refute_4_610]) ).
cnf(refute_4_612,plain,
( e21 != e21
| h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) ),
inference(resolve,[$cnf( $equal(e21,op2(h12(e11),h12(e10))) )],[refute_4_611,refute_4_599]) ).
cnf(refute_4_613,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),op2(h12(e11),h12(e10))) )],[refute_4_612,refute_4_0]) ).
cnf(refute_4_614,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_4_615,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_4_614,refute_4_613]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10)) )
=> h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_5_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_5_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_5_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_5_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_5_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_5_13]) ).
fof(normalize_5_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_5_13]) ).
fof(normalize_5_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_5_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_5_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_5_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_5_22]) ).
fof(normalize_5_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_5_22]) ).
fof(normalize_5_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_5_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_5_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_5_28]) ).
fof(normalize_5_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_5_28]) ).
fof(normalize_5_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_5_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_5_31]) ).
fof(normalize_5_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_5_31]) ).
fof(normalize_5_34,plain,
( h12(op1(e11,e11)) != op2(h12(e11),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_5_0,normalize_5_2,normalize_5_3,normalize_5_5,normalize_5_6,normalize_5_8,normalize_5_9,normalize_5_11,normalize_5_12,normalize_5_14,normalize_5_15,normalize_5_17,normalize_5_18,normalize_5_20,normalize_5_21,normalize_5_23,normalize_5_24,normalize_5_26,normalize_5_27,normalize_5_29,normalize_5_30,normalize_5_32,normalize_5_33]) ).
fof(normalize_5_35,plain,
h12(op1(e11,e11)) != op2(h12(e11),h12(e11)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_36,plain,
h1(e10) = op2(e21,e21),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_37,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_5_38,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_5_37]) ).
fof(normalize_5_39,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_5_38]) ).
fof(normalize_5_40,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_5_41,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_5_40,normalize_5_37]) ).
fof(normalize_5_42,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_5_41]) ).
fof(normalize_5_43,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_5_42]) ).
fof(normalize_5_44,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_5_45,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_5_44]) ).
fof(normalize_5_46,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_47,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax18]) ).
fof(normalize_5_48,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_49,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_5_50,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_5_49]) ).
fof(normalize_5_51,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_5_52,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_5_51,normalize_5_41,normalize_5_37]) ).
fof(normalize_5_53,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_5_54,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_5_52,normalize_5_53]) ).
fof(normalize_5_55,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_5_54]) ).
fof(normalize_5_56,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_5_55]) ).
fof(normalize_5_57,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_5_49]) ).
fof(normalize_5_58,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_5_59,plain,
e20 != e23,
inference(conjunct,[],[normalize_5_58]) ).
fof(normalize_5_60,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_5_53]) ).
fof(normalize_5_61,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_5_60]) ).
fof(normalize_5_62,plain,
e20 != e22,
inference(conjunct,[],[normalize_5_58]) ).
fof(normalize_5_63,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_5_64,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_65,plain,
h5(e11) = op2(e21,e22),
inference(conjunct,[],[normalize_5_19]) ).
fof(normalize_5_66,plain,
h4(e11) = op2(e21,e20),
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_67,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_68,plain,
h1(e11) = op2(e20,e21),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_69,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_5_38]) ).
fof(normalize_5_70,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_5_44]) ).
fof(normalize_5_71,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_72,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_73,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_5_22]) ).
fof(normalize_5_74,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_5_13]) ).
fof(normalize_5_75,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_76,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_77,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_78,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_79,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_80,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_81,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_5_44]) ).
fof(normalize_5_82,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_5_25]) ).
fof(normalize_5_83,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_84,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_85,plain,
h10(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_5_4]) ).
fof(normalize_5_86,plain,
h4(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_5_16]) ).
fof(normalize_5_87,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_5_38]) ).
fof(normalize_5_88,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,[],[ax5]) ).
fof(normalize_5_89,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_5_88]) ).
fof(normalize_5_90,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_91,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_92,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_5_47]) ).
fof(normalize_5_93,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(conjunct,[],[normalize_5_63]) ).
fof(normalize_5_94,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_5_95,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_5_94]) ).
fof(normalize_5_96,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_5_95]) ).
fof(normalize_5_97,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_5_98,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_5_97,normalize_5_94]) ).
fof(normalize_5_99,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_5_98]) ).
fof(normalize_5_100,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_5_99]) ).
fof(normalize_5_101,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,[],[ax17]) ).
fof(normalize_5_102,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_5_101]) ).
fof(normalize_5_103,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_5_104,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_5_103]) ).
fof(normalize_5_105,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_5_106,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_5_105,normalize_5_98,normalize_5_94]) ).
fof(normalize_5_107,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_5_108,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_5_106,normalize_5_107]) ).
fof(normalize_5_109,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_5_108]) ).
fof(normalize_5_110,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_5_109]) ).
fof(normalize_5_111,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_5_103]) ).
fof(normalize_5_112,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_5_113,plain,
e10 != e13,
inference(conjunct,[],[normalize_5_112]) ).
fof(normalize_5_114,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_5_107]) ).
fof(normalize_5_115,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_5_114]) ).
fof(normalize_5_116,plain,
e10 != e12,
inference(conjunct,[],[normalize_5_112]) ).
cnf(refute_5_0,plain,
h12(op1(e11,e11)) != op2(h12(e11),h12(e11)),
inference(canonicalize,[],[normalize_5_35]) ).
cnf(refute_5_1,plain,
h1(e10) = op2(e21,e21),
inference(canonicalize,[],[normalize_5_36]) ).
cnf(refute_5_2,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_5_39]) ).
cnf(refute_5_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_3,refute_5_4]) ).
cnf(refute_5_6,plain,
( h1(e10) != op2(e21,e21)
| op2(e21,e21) = h1(e10) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_7,plain,
op2(e21,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e21)) )],[refute_5_1,refute_5_6]) ).
cnf(refute_5_8,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_5_9,plain,
( op2(e21,e21) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_5_7,refute_5_8]) ).
cnf(refute_5_10,plain,
( h1(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_2,refute_5_9]) ).
cnf(refute_5_11,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_5_43]) ).
cnf(refute_5_12,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_5_45]) ).
cnf(refute_5_13,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_5_46]) ).
cnf(refute_5_14,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_5_15,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_5_13,refute_5_14]) ).
cnf(refute_5_16,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_5_17,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_5_15,refute_5_16]) ).
cnf(refute_5_18,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_5_12,refute_5_17]) ).
cnf(refute_5_19,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_5_20,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_5_18,refute_5_19]) ).
cnf(refute_5_21,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_22,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_5,refute_5_21]) ).
cnf(refute_5_23,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_5_24,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_5_15,refute_5_23]) ).
cnf(refute_5_25,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_5_20,refute_5_24]) ).
cnf(refute_5_26,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_5_27,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_5_25,refute_5_26]) ).
cnf(refute_5_28,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_5_11,refute_5_27]) ).
cnf(refute_5_29,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_48]) ).
cnf(refute_5_30,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_31,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_5_25,refute_5_30]) ).
cnf(refute_5_32,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_5_50]) ).
cnf(refute_5_33,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_5_34,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_5_32,refute_5_33]) ).
cnf(refute_5_35,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_5_36,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_34,refute_5_35]) ).
cnf(refute_5_37,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_5_36,refute_5_31]) ).
cnf(refute_5_38,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_5_37,refute_5_29]) ).
cnf(refute_5_39,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_5_28,refute_5_38]) ).
cnf(refute_5_40,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_5_56]) ).
cnf(refute_5_41,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_5_57]) ).
cnf(refute_5_42,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_43,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_5_41,refute_5_42]) ).
cnf(refute_5_44,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_5_45,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_43,refute_5_44]) ).
cnf(refute_5_46,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_5_40,refute_5_45]) ).
cnf(refute_5_47,plain,
e20 != e23,
inference(canonicalize,[],[normalize_5_59]) ).
cnf(refute_5_48,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_5_46,refute_5_47]) ).
cnf(refute_5_49,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_5_61]) ).
cnf(refute_5_50,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_5_51,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_43,refute_5_50]) ).
cnf(refute_5_52,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_5_49,refute_5_51]) ).
cnf(refute_5_53,plain,
e20 != e22,
inference(canonicalize,[],[normalize_5_62]) ).
cnf(refute_5_54,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_5_52,refute_5_53]) ).
cnf(refute_5_55,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_5_48,refute_5_54]) ).
cnf(refute_5_56,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_5_55,refute_5_39]) ).
cnf(refute_5_57,plain,
h1(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_5_10,refute_5_56]) ).
cnf(refute_5_58,plain,
( h1(e10) != e20
| h1(e10) != op2(e21,e21)
| e20 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(e21,e21)) ),[0],$fot(e20)]]) ).
cnf(refute_5_59,plain,
( h1(e10) != op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_5_57,refute_5_58]) ).
cnf(refute_5_60,plain,
e20 = op2(e21,e21),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e21)) )],[refute_5_1,refute_5_59]) ).
cnf(refute_5_61,plain,
( e20 != op2(e21,e21)
| op2(e21,e21) = e20 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_62,plain,
op2(e21,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e21,e21)) )],[refute_5_60,refute_5_61]) ).
cnf(refute_5_63,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_64]) ).
cnf(refute_5_64,plain,
h5(e11) = op2(e21,e22),
inference(canonicalize,[],[normalize_5_65]) ).
cnf(refute_5_65,plain,
( h5(e11) != op2(e21,e22)
| op2(e21,e22) = h5(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_5_66,plain,
op2(e21,e22) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e21,e22)) )],[refute_5_64,refute_5_65]) ).
cnf(refute_5_67,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_5_68,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h5(e11))]]) ).
cnf(refute_5_69,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_5_67,refute_5_68]) ).
cnf(refute_5_70,plain,
op2(op2(e21,e22),e22) = op2(h5(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_5_66,refute_5_69]) ).
cnf(refute_5_71,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[0],$fot(op2(h5(e11),e22))]]) ).
cnf(refute_5_72,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h5(e11),e22)) )],[refute_5_70,refute_5_71]) ).
cnf(refute_5_73,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_5_74,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_5_75,plain,
( op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_5_73,refute_5_74]) ).
cnf(refute_5_76,plain,
op2(e21,op2(e22,e22)) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_5_25,refute_5_75]) ).
cnf(refute_5_77,plain,
( op2(e21,op2(e22,e22)) != op2(e21,h12(e10))
| op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_5_78,plain,
( op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,h12(e10))) )],[refute_5_76,refute_5_77]) ).
cnf(refute_5_79,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) )],[refute_5_72,refute_5_78]) ).
cnf(refute_5_80,plain,
op2(h5(e11),e22) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_5_63,refute_5_79]) ).
cnf(refute_5_81,plain,
h4(e11) = op2(e21,e20),
inference(canonicalize,[],[normalize_5_66]) ).
cnf(refute_5_82,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_5_67]) ).
cnf(refute_5_83,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_5_84,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h1(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_5_85,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e21) = op2(h1(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_5_83,refute_5_84]) ).
cnf(refute_5_86,plain,
op2(op2(e21,e21),e21) = op2(h1(e10),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_5_7,refute_5_85]) ).
cnf(refute_5_87,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(op2(e21,e21),e21) != op2(h1(e10),e21)
| op2(h1(e10),e21) = op2(e21,op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) ),[0],$fot(op2(h1(e10),e21))]]) ).
cnf(refute_5_88,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h1(e10),e21)) )],[refute_5_86,refute_5_87]) ).
cnf(refute_5_89,plain,
op2(e21,op2(e21,e21)) = op2(e21,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e21)))]]) ).
cnf(refute_5_90,plain,
( op2(e21,e21) != h1(e10)
| op2(e21,op2(e21,e21)) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = op2(e21,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_5_91,plain,
( op2(e21,e21) != h1(e10)
| op2(e21,op2(e21,e21)) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,op2(e21,e21))) )],[refute_5_89,refute_5_90]) ).
cnf(refute_5_92,plain,
op2(e21,op2(e21,e21)) = op2(e21,h1(e10)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_5_7,refute_5_91]) ).
cnf(refute_5_93,plain,
( op2(e21,op2(e21,e21)) != op2(e21,h1(e10))
| op2(h1(e10),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e21),op2(e21,op2(e21,e21))) ),[1],$fot(op2(e21,h1(e10)))]]) ).
cnf(refute_5_94,plain,
( op2(h1(e10),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),op2(e21,h1(e10))) )],[refute_5_92,refute_5_93]) ).
cnf(refute_5_95,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h1(e10),e21) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(e21,op2(e21,e21))) )],[refute_5_88,refute_5_94]) ).
cnf(refute_5_96,plain,
op2(h1(e10),e21) = op2(e21,h1(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) )],[refute_5_82,refute_5_95]) ).
cnf(refute_5_97,plain,
h1(e11) = op2(e20,e21),
inference(canonicalize,[],[normalize_5_68]) ).
cnf(refute_5_98,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_5_99,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_5_97,refute_5_98]) ).
cnf(refute_5_100,plain,
op2(h1(e10),e21) = op2(h1(e10),e21),
introduced(tautology,[refl,[$fot(op2(h1(e10),e21))]]) ).
cnf(refute_5_101,plain,
( h1(e10) != e20
| op2(h1(e10),e21) != op2(h1(e10),e21)
| op2(h1(e10),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e21),op2(h1(e10),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_102,plain,
( h1(e10) != e20
| op2(h1(e10),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(h1(e10),e21)) )],[refute_5_100,refute_5_101]) ).
cnf(refute_5_103,plain,
op2(h1(e10),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_5_57,refute_5_102]) ).
cnf(refute_5_104,plain,
( op2(e20,e21) != h1(e11)
| op2(h1(e10),e21) != op2(e20,e21)
| op2(h1(e10),e21) = h1(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h1(e10),e21))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_5_105,plain,
( op2(e20,e21) != h1(e11)
| op2(h1(e10),e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(e20,e21)) )],[refute_5_103,refute_5_104]) ).
cnf(refute_5_106,plain,
op2(h1(e10),e21) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_5_99,refute_5_105]) ).
cnf(refute_5_107,plain,
( op2(h1(e10),e21) != h1(e11)
| op2(h1(e10),e21) != op2(e21,h1(e10))
| h1(e11) = op2(e21,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e21),op2(e21,h1(e10))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_108,plain,
( op2(h1(e10),e21) != op2(e21,h1(e10))
| h1(e11) = op2(e21,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),h1(e11)) )],[refute_5_106,refute_5_107]) ).
cnf(refute_5_109,plain,
( h4(e11) != op2(e21,e20)
| op2(e21,e20) = h4(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_5_110,plain,
op2(e21,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_5_81,refute_5_109]) ).
cnf(refute_5_111,plain,
op2(e21,h1(e10)) = op2(e21,h1(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h1(e10)))]]) ).
cnf(refute_5_112,plain,
( h1(e10) != e20
| op2(e21,h1(e10)) != op2(e21,h1(e10))
| op2(e21,h1(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e10)),op2(e21,h1(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_113,plain,
( h1(e10) != e20
| op2(e21,h1(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e10)),op2(e21,h1(e10))) )],[refute_5_111,refute_5_112]) ).
cnf(refute_5_114,plain,
op2(e21,h1(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_5_57,refute_5_113]) ).
cnf(refute_5_115,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h1(e10)) != op2(e21,e20)
| op2(e21,h1(e10)) = h4(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e21,h1(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_5_116,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h1(e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e10)),op2(e21,e20)) )],[refute_5_114,refute_5_115]) ).
cnf(refute_5_117,plain,
op2(e21,h1(e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_5_110,refute_5_116]) ).
cnf(refute_5_118,plain,
( h1(e11) != op2(e21,h1(e10))
| op2(e21,h1(e10)) != h4(e11)
| h1(e11) = h4(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h4(e11)) ),[0],$fot(op2(e21,h1(e10)))]]) ).
cnf(refute_5_119,plain,
( h1(e11) != op2(e21,h1(e10))
| h1(e11) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e10)),h4(e11)) )],[refute_5_117,refute_5_118]) ).
cnf(refute_5_120,plain,
( op2(h1(e10),e21) != op2(e21,h1(e10))
| h1(e11) = h4(e11) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,h1(e10))) )],[refute_5_108,refute_5_119]) ).
cnf(refute_5_121,plain,
h1(e11) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h1(e10),e21),op2(e21,h1(e10))) )],[refute_5_96,refute_5_120]) ).
cnf(refute_5_122,plain,
( h1(e11) != h4(e11)
| h4(e11) = h1(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_5_123,plain,
h4(e11) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h4(e11)) )],[refute_5_121,refute_5_122]) ).
cnf(refute_5_124,plain,
( h4(e11) != h1(e11)
| h4(e11) != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e21,e20)) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_125,plain,
( h4(e11) != op2(e21,e20)
| h1(e11) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_5_123,refute_5_124]) ).
cnf(refute_5_126,plain,
h1(e11) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_5_81,refute_5_125]) ).
cnf(refute_5_127,plain,
( h1(e11) != op2(e21,e20)
| op2(e21,e20) = h1(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_5_128,plain,
op2(e21,e20) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e21,e20)) )],[refute_5_126,refute_5_127]) ).
cnf(refute_5_129,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_5_69]) ).
cnf(refute_5_130,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_5_131,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_5_25,refute_5_130]) ).
cnf(refute_5_132,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_5_129,refute_5_131]) ).
cnf(refute_5_133,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_5_132,refute_5_56]) ).
cnf(refute_5_134,plain,
op2(e21,h12(e10)) = op2(e21,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_5_135,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) != op2(e21,h12(e10))
| op2(e21,h12(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_136,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) )],[refute_5_134,refute_5_135]) ).
cnf(refute_5_137,plain,
op2(e21,h12(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_5_133,refute_5_136]) ).
cnf(refute_5_138,plain,
( op2(e21,e20) != h1(e11)
| op2(e21,h12(e10)) != op2(e21,e20)
| op2(e21,h12(e10)) = h1(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e21,h12(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_5_139,plain,
( op2(e21,e20) != h1(e11)
| op2(e21,h12(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,e20)) )],[refute_5_137,refute_5_138]) ).
cnf(refute_5_140,plain,
op2(e21,h12(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_5_128,refute_5_139]) ).
cnf(refute_5_141,plain,
( op2(e21,h12(e10)) != h1(e11)
| op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_5_142,plain,
( op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),h1(e11)) )],[refute_5_140,refute_5_141]) ).
cnf(refute_5_143,plain,
op2(h5(e11),e22) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) )],[refute_5_80,refute_5_142]) ).
cnf(refute_5_144,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_5_70]) ).
cnf(refute_5_145,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_5_146,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_5_144,refute_5_145]) ).
cnf(refute_5_147,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(canonicalize,[],[normalize_5_71]) ).
cnf(refute_5_148,plain,
op2(op2(e20,e21),e22) = op2(op2(e20,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e21),e22))]]) ).
cnf(refute_5_149,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e22) != op2(op2(e20,e21),e22)
| op2(op2(e20,e21),e22) = op2(h1(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(op2(e20,e21),e22)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_5_150,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e22) = op2(h1(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(op2(e20,e21),e22)) )],[refute_5_148,refute_5_149]) ).
cnf(refute_5_151,plain,
op2(op2(e20,e21),e22) = op2(h1(e11),e22),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_5_99,refute_5_150]) ).
cnf(refute_5_152,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(op2(e20,e21),e22) != op2(h1(e11),e22)
| op2(h1(e11),e22) = op2(e20,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) ),[0],$fot(op2(h1(e11),e22))]]) ).
cnf(refute_5_153,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(h1(e11),e22)) )],[refute_5_151,refute_5_152]) ).
cnf(refute_5_154,plain,
op2(e20,op2(e21,e22)) = op2(e20,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e22)))]]) ).
cnf(refute_5_155,plain,
( op2(e20,op2(e21,e22)) != op2(e20,op2(e21,e22))
| op2(e21,e22) != h5(e11)
| op2(e20,op2(e21,e22)) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) ),[1,1],$fot(h5(e11))]]) ).
cnf(refute_5_156,plain,
( op2(e21,e22) != h5(e11)
| op2(e20,op2(e21,e22)) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) )],[refute_5_154,refute_5_155]) ).
cnf(refute_5_157,plain,
op2(e20,op2(e21,e22)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_5_66,refute_5_156]) ).
cnf(refute_5_158,plain,
( op2(e20,op2(e21,e22)) != op2(e20,h5(e11))
| op2(h1(e11),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(e20,op2(e21,e22))) ),[1],$fot(op2(e20,h5(e11)))]]) ).
cnf(refute_5_159,plain,
( op2(h1(e11),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,h5(e11))) )],[refute_5_157,refute_5_158]) ).
cnf(refute_5_160,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,op2(e21,e22))) )],[refute_5_153,refute_5_159]) ).
cnf(refute_5_161,plain,
op2(h1(e11),e22) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) )],[refute_5_147,refute_5_160]) ).
cnf(refute_5_162,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_5_72]) ).
cnf(refute_5_163,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_5_164,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_5_165,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_5_163,refute_5_164]) ).
cnf(refute_5_166,plain,
op2(op2(e21,e21),e23) = op2(h1(e10),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_5_7,refute_5_165]) ).
cnf(refute_5_167,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h1(e10),e23))]]) ).
cnf(refute_5_168,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h1(e10),e23)) )],[refute_5_166,refute_5_167]) ).
cnf(refute_5_169,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_5_73]) ).
cnf(refute_5_170,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_5_171,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_5_169,refute_5_170]) ).
cnf(refute_5_172,plain,
op2(e21,op2(e21,e23)) = op2(e21,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e23)))]]) ).
cnf(refute_5_173,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_5_174,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) )],[refute_5_172,refute_5_173]) ).
cnf(refute_5_175,plain,
op2(e21,op2(e21,e23)) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_5_171,refute_5_174]) ).
cnf(refute_5_176,plain,
( op2(e21,op2(e21,e23)) != op2(e21,h6(e11))
| op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) ),[1],$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_5_177,plain,
( op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h6(e11))) )],[refute_5_175,refute_5_176]) ).
cnf(refute_5_178,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) )],[refute_5_168,refute_5_177]) ).
cnf(refute_5_179,plain,
op2(h1(e10),e23) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_5_162,refute_5_178]) ).
cnf(refute_5_180,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_5_74]) ).
cnf(refute_5_181,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_75]) ).
cnf(refute_5_182,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_5_183,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_5_180,refute_5_182]) ).
cnf(refute_5_184,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_5_185,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_186,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_5_184,refute_5_185]) ).
cnf(refute_5_187,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_43,refute_5_186]) ).
cnf(refute_5_188,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_5_189,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_5_187,refute_5_188]) ).
cnf(refute_5_190,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_189]) ).
cnf(refute_5_191,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_192,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_5_190,refute_5_191]) ).
cnf(refute_5_193,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_5_76]) ).
cnf(refute_5_194,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_5_195,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_5_193,refute_5_194]) ).
cnf(refute_5_196,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_197,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_198,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_5_196,refute_5_197]) ).
cnf(refute_5_199,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_43,refute_5_198]) ).
cnf(refute_5_200,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_5_201,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_5_199,refute_5_200]) ).
cnf(refute_5_202,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_5_195,refute_5_201]) ).
cnf(refute_5_203,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_5_204,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_5_202,refute_5_203]) ).
cnf(refute_5_205,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_5_192,refute_5_204]) ).
cnf(refute_5_206,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_5_181,refute_5_205]) ).
cnf(refute_5_207,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_5_208,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_5_206,refute_5_207]) ).
cnf(refute_5_209,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_5_180,refute_5_208]) ).
cnf(refute_5_210,plain,
( h10(e11) != op2(e20,e23)
| op2(e20,e23) = h10(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_5_211,plain,
op2(e20,e23) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_5_209,refute_5_210]) ).
cnf(refute_5_212,plain,
op2(h1(e10),e23) = op2(h1(e10),e23),
introduced(tautology,[refl,[$fot(op2(h1(e10),e23))]]) ).
cnf(refute_5_213,plain,
( h1(e10) != e20
| op2(h1(e10),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_214,plain,
( h1(e10) != e20
| op2(h1(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) )],[refute_5_212,refute_5_213]) ).
cnf(refute_5_215,plain,
op2(h1(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_5_57,refute_5_214]) ).
cnf(refute_5_216,plain,
( op2(e20,e23) != h10(e11)
| op2(h1(e10),e23) != op2(e20,e23)
| op2(h1(e10),e23) = h10(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h1(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_5_217,plain,
( op2(e20,e23) != h10(e11)
| op2(h1(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e20,e23)) )],[refute_5_215,refute_5_216]) ).
cnf(refute_5_218,plain,
op2(h1(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_5_211,refute_5_217]) ).
cnf(refute_5_219,plain,
( op2(h1(e10),e23) != h10(e11)
| op2(h1(e10),e23) != op2(e21,h6(e11))
| h10(e11) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_5_220,plain,
( op2(h1(e10),e23) != op2(e21,h6(e11))
| h10(e11) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),h10(e11)) )],[refute_5_218,refute_5_219]) ).
cnf(refute_5_221,plain,
h10(e11) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) )],[refute_5_179,refute_5_220]) ).
cnf(refute_5_222,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(canonicalize,[],[normalize_5_77]) ).
cnf(refute_5_223,plain,
op2(op2(e21,e20),e22) = op2(op2(e21,e20),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e22))]]) ).
cnf(refute_5_224,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e22) != op2(op2(e21,e20),e22)
| op2(op2(e21,e20),e22) = op2(h4(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e22),op2(op2(e21,e20),e22)) ),[1,0],$fot(h4(e11))]]) ).
cnf(refute_5_225,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e22) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(op2(e21,e20),e22)) )],[refute_5_223,refute_5_224]) ).
cnf(refute_5_226,plain,
op2(op2(e21,e20),e22) = op2(h4(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_5_110,refute_5_225]) ).
cnf(refute_5_227,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(op2(e21,e20),e22) != op2(h4(e11),e22)
| op2(h4(e11),e22) = op2(e21,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e22),op2(e21,op2(e20,e22))) ),[0],$fot(op2(h4(e11),e22))]]) ).
cnf(refute_5_228,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(h4(e11),e22)) )],[refute_5_226,refute_5_227]) ).
cnf(refute_5_229,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_5_78]) ).
cnf(refute_5_230,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_5_231,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_5_229,refute_5_230]) ).
cnf(refute_5_232,plain,
op2(e21,op2(e20,e22)) = op2(e21,op2(e20,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e22)))]]) ).
cnf(refute_5_233,plain,
( op2(e20,e22) != h2(e11)
| op2(e21,op2(e20,e22)) != op2(e21,op2(e20,e22))
| op2(e21,op2(e20,e22)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,op2(e20,e22))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_5_234,plain,
( op2(e20,e22) != h2(e11)
| op2(e21,op2(e20,e22)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,op2(e20,e22))) )],[refute_5_232,refute_5_233]) ).
cnf(refute_5_235,plain,
op2(e21,op2(e20,e22)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_5_231,refute_5_234]) ).
cnf(refute_5_236,plain,
( op2(e21,op2(e20,e22)) != op2(e21,h2(e11))
| op2(h4(e11),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(e21,op2(e20,e22))) ),[1],$fot(op2(e21,h2(e11)))]]) ).
cnf(refute_5_237,plain,
( op2(h4(e11),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,h2(e11))) )],[refute_5_235,refute_5_236]) ).
cnf(refute_5_238,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e21,op2(e20,e22))) )],[refute_5_228,refute_5_237]) ).
cnf(refute_5_239,plain,
op2(h4(e11),e22) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(e21,op2(e20,e22))) )],[refute_5_222,refute_5_238]) ).
cnf(refute_5_240,plain,
op2(h4(e11),e22) = op2(h4(e11),e22),
introduced(tautology,[refl,[$fot(op2(h4(e11),e22))]]) ).
cnf(refute_5_241,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e22) != op2(h4(e11),e22)
| op2(h4(e11),e22) = op2(h1(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(h4(e11),e22)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_5_242,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e22) = op2(h1(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(h4(e11),e22)) )],[refute_5_240,refute_5_241]) ).
cnf(refute_5_243,plain,
op2(h4(e11),e22) = op2(h1(e11),e22),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_5_123,refute_5_242]) ).
cnf(refute_5_244,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) != op2(h1(e11),e22)
| op2(h4(e11),e22) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h4(e11),e22))),bind(Y,$fot(op2(h1(e11),e22))),bind(Z,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_5_245,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(h1(e11),e22)) )],[refute_5_243,refute_5_244]) ).
cnf(refute_5_246,plain,
op2(h4(e11),e22) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) )],[refute_5_161,refute_5_245]) ).
cnf(refute_5_247,plain,
( op2(h4(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) != op2(e21,h2(e11))
| op2(e20,h5(e11)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(e21,h2(e11))) ),[0],$fot(op2(e20,h5(e11)))]]) ).
cnf(refute_5_248,plain,
( op2(h4(e11),e22) != op2(e21,h2(e11))
| op2(e20,h5(e11)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e20,h5(e11))) )],[refute_5_246,refute_5_247]) ).
cnf(refute_5_249,plain,
op2(e20,h5(e11)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e21,h2(e11))) )],[refute_5_239,refute_5_248]) ).
cnf(refute_5_250,plain,
( op2(e20,h5(e11)) != op2(e21,h2(e11))
| op2(e21,h2(e11)) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(op2(e20,h5(e11)))),bind(Y,$fot(op2(e21,h2(e11))))]]) ).
cnf(refute_5_251,plain,
op2(e21,h2(e11)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e20,h5(e11)),op2(e21,h2(e11))) )],[refute_5_249,refute_5_250]) ).
cnf(refute_5_252,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_5_79]) ).
cnf(refute_5_253,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_80]) ).
cnf(refute_5_254,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_5_255,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_5_256,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_5_254,refute_5_255]) ).
cnf(refute_5_257,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_5_25,refute_5_256]) ).
cnf(refute_5_258,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_5_259,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_5_257,refute_5_258]) ).
cnf(refute_5_260,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_5_261,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_5_262,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_5_260,refute_5_261]) ).
cnf(refute_5_263,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_5_25,refute_5_262]) ).
cnf(refute_5_264,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_5_265,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_5_263,refute_5_264]) ).
cnf(refute_5_266,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_5_259,refute_5_265]) ).
cnf(refute_5_267,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_5_253,refute_5_266]) ).
cnf(refute_5_268,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_5_81]) ).
cnf(refute_5_269,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_5_270,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_5_271,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_5_269,refute_5_270]) ).
cnf(refute_5_272,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_5_268,refute_5_271]) ).
cnf(refute_5_273,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_5_274,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_5_272,refute_5_273]) ).
cnf(refute_5_275,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_5_267,refute_5_274]) ).
cnf(refute_5_276,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_5_277,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_5_275,refute_5_276]) ).
cnf(refute_5_278,plain,
h12(op1(e10,e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_5_252,refute_5_277]) ).
cnf(refute_5_279,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = h12(op1(e10,e13)) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h12(op1(e10,e13)))),bind(Y,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_5_280,plain,
op2(e22,h12(e10)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_5_278,refute_5_279]) ).
cnf(refute_5_281,plain,
( op2(e22,h12(e10)) != h12(op1(e10,e13))
| op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) ),[1],$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_5_282,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h12(op1(e10,e13))) )],[refute_5_280,refute_5_281]) ).
cnf(refute_5_283,plain,
op2(h12(e10),e22) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_5_267,refute_5_282]) ).
cnf(refute_5_284,plain,
op2(h12(e10),e22) = op2(h12(e10),e22),
introduced(tautology,[refl,[$fot(op2(h12(e10),e22))]]) ).
cnf(refute_5_285,plain,
( h12(e10) != e20
| op2(h12(e10),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_286,plain,
( h12(e10) != e20
| op2(h12(e10),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) )],[refute_5_284,refute_5_285]) ).
cnf(refute_5_287,plain,
op2(h12(e10),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_5_133,refute_5_286]) ).
cnf(refute_5_288,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) != op2(e20,e22)
| op2(h12(e10),e22) = h2(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h12(e10),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_5_289,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e20,e22)) )],[refute_5_287,refute_5_288]) ).
cnf(refute_5_290,plain,
op2(h12(e10),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_5_231,refute_5_289]) ).
cnf(refute_5_291,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| op2(h12(e10),e22) != h2(e11)
| h2(e11) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_5_292,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| h2(e11) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h2(e11)) )],[refute_5_290,refute_5_291]) ).
cnf(refute_5_293,plain,
h2(e11) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) )],[refute_5_283,refute_5_292]) ).
cnf(refute_5_294,plain,
( h2(e11) != h12(op1(e10,e13))
| h12(op1(e10,e13)) = h2(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(h12(op1(e10,e13))))]]) ).
cnf(refute_5_295,plain,
h12(op1(e10,e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h12(op1(e10,e13))) )],[refute_5_293,refute_5_294]) ).
cnf(refute_5_296,plain,
( h12(op1(e10,e13)) != h2(e11)
| h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_5_297,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) )],[refute_5_295,refute_5_296]) ).
cnf(refute_5_298,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_5_82]) ).
cnf(refute_5_299,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_83]) ).
cnf(refute_5_300,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_5_301,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_302,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_5_300,refute_5_301]) ).
cnf(refute_5_303,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_34,refute_5_302]) ).
cnf(refute_5_304,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_5_305,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_5_303,refute_5_304]) ).
cnf(refute_5_306,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_5_171,refute_5_305]) ).
cnf(refute_5_307,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_5_308,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_5_306,refute_5_307]) ).
cnf(refute_5_309,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_5_310,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_5_298,refute_5_309]) ).
cnf(refute_5_311,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_5_312,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_313,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_5_311,refute_5_312]) ).
cnf(refute_5_314,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_43,refute_5_313]) ).
cnf(refute_5_315,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_5_316,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_5_314,refute_5_315]) ).
cnf(refute_5_317,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_5_310,refute_5_316]) ).
cnf(refute_5_318,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_5_319,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_5_317,refute_5_318]) ).
cnf(refute_5_320,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_5_308,refute_5_319]) ).
cnf(refute_5_321,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_5_299,refute_5_320]) ).
cnf(refute_5_322,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_5_323,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_5_321,refute_5_322]) ).
cnf(refute_5_324,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_5_325,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_5_323,refute_5_324]) ).
cnf(refute_5_326,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_5_298,refute_5_325]) ).
cnf(refute_5_327,plain,
( h6(e11) != op2(e22,e20)
| op2(e22,e20) = h6(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_5_328,plain,
op2(e22,e20) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_5_326,refute_5_327]) ).
cnf(refute_5_329,plain,
op2(e22,h12(e10)) = op2(e22,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_5_330,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_331,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) )],[refute_5_329,refute_5_330]) ).
cnf(refute_5_332,plain,
op2(e22,h12(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_5_133,refute_5_331]) ).
cnf(refute_5_333,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) != op2(e22,e20)
| op2(e22,h12(e10)) = h6(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e22,h12(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_5_334,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,e20)) )],[refute_5_332,refute_5_333]) ).
cnf(refute_5_335,plain,
op2(e22,h12(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_5_328,refute_5_334]) ).
cnf(refute_5_336,plain,
( h2(e11) != op2(e22,h12(e10))
| op2(e22,h12(e10)) != h6(e11)
| h2(e11) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h6(e11)) ),[0],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_5_337,plain,
( h2(e11) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h6(e11)) )],[refute_5_335,refute_5_336]) ).
cnf(refute_5_338,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h12(e10))) )],[refute_5_297,refute_5_337]) ).
cnf(refute_5_339,plain,
h2(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_5_278,refute_5_338]) ).
cnf(refute_5_340,plain,
( h2(e11) != h6(e11)
| h6(e11) = h2(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(h6(e11)))]]) ).
cnf(refute_5_341,plain,
h6(e11) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h6(e11)) )],[refute_5_339,refute_5_340]) ).
cnf(refute_5_342,plain,
op2(e21,h6(e11)) = op2(e21,h6(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_5_343,plain,
( h6(e11) != h2(e11)
| op2(e21,h6(e11)) != op2(e21,h6(e11))
| op2(e21,h6(e11)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_5_344,plain,
( h6(e11) != h2(e11)
| op2(e21,h6(e11)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) )],[refute_5_342,refute_5_343]) ).
cnf(refute_5_345,plain,
op2(e21,h6(e11)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_5_341,refute_5_344]) ).
cnf(refute_5_346,plain,
( op2(e21,h2(e11)) != op2(e20,h5(e11))
| op2(e21,h6(e11)) != op2(e21,h2(e11))
| op2(e21,h6(e11)) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e21,h6(e11)))),bind(Y,$fot(op2(e21,h2(e11)))),bind(Z,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_5_347,plain,
( op2(e21,h2(e11)) != op2(e20,h5(e11))
| op2(e21,h6(e11)) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h2(e11))) )],[refute_5_345,refute_5_346]) ).
cnf(refute_5_348,plain,
op2(e21,h6(e11)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e21,h2(e11)),op2(e20,h5(e11))) )],[refute_5_251,refute_5_347]) ).
cnf(refute_5_349,plain,
( h10(e11) != op2(e21,h6(e11))
| op2(e21,h6(e11)) != op2(e20,h5(e11))
| h10(e11) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),op2(e20,h5(e11))) ),[0],$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_5_350,plain,
( h10(e11) != op2(e21,h6(e11))
| h10(e11) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e20,h5(e11))) )],[refute_5_348,refute_5_349]) ).
cnf(refute_5_351,plain,
h10(e11) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(h10(e11),op2(e21,h6(e11))) )],[refute_5_221,refute_5_350]) ).
cnf(refute_5_352,plain,
( h10(e11) != op2(e20,h5(e11))
| op2(e20,h5(e11)) = h10(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_5_353,plain,
op2(e20,h5(e11)) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,h5(e11))) )],[refute_5_351,refute_5_352]) ).
cnf(refute_5_354,plain,
( op2(e20,h5(e11)) != h10(e11)
| op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h1(e11),e22) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) ),[1],$fot(h10(e11))]]) ).
cnf(refute_5_355,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h1(e11),e22) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h5(e11)),h10(e11)) )],[refute_5_353,refute_5_354]) ).
cnf(refute_5_356,plain,
op2(h1(e11),e22) = h10(e11),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) )],[refute_5_161,refute_5_355]) ).
cnf(refute_5_357,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_5_84]) ).
cnf(refute_5_358,plain,
h10(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_5_85]) ).
cnf(refute_5_359,plain,
h4(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_5_86]) ).
cnf(refute_5_360,plain,
( h4(e10) != op2(e20,e20)
| op2(e20,e20) = h4(e10) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_361,plain,
op2(e20,e20) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e20)) )],[refute_5_359,refute_5_360]) ).
cnf(refute_5_362,plain,
( h10(e10) != op2(e20,e20)
| op2(e20,e20) != h4(e10)
| h10(e10) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e10),h4(e10)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_5_363,plain,
( h10(e10) != op2(e20,e20)
| h10(e10) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_5_361,refute_5_362]) ).
cnf(refute_5_364,plain,
h10(e10) = h4(e10),
inference(resolve,[$cnf( $equal(h10(e10),op2(e20,e20)) )],[refute_5_358,refute_5_363]) ).
cnf(refute_5_365,plain,
( h10(e10) != h4(e10)
| h4(e10) = h10(e10) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h10(e10))),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_5_366,plain,
h4(e10) = h10(e10),
inference(resolve,[$cnf( $equal(h10(e10),h4(e10)) )],[refute_5_364,refute_5_365]) ).
cnf(refute_5_367,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) != h4(e10)
| op2(e20,e20) = h10(e10) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h10(e10)))]]) ).
cnf(refute_5_368,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) = h10(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_5_361,refute_5_367]) ).
cnf(refute_5_369,plain,
op2(e20,e20) = h10(e10),
inference(resolve,[$cnf( $equal(h4(e10),h10(e10)) )],[refute_5_366,refute_5_368]) ).
cnf(refute_5_370,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_5_371,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h10(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h10(e10))]]) ).
cnf(refute_5_372,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e20,e20),e23) = op2(h10(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_5_370,refute_5_371]) ).
cnf(refute_5_373,plain,
op2(op2(e20,e20),e23) = op2(h10(e10),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_5_369,refute_5_372]) ).
cnf(refute_5_374,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h10(e10),e23)
| op2(h10(e10),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h10(e10),e23))]]) ).
cnf(refute_5_375,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h10(e10),e23)) )],[refute_5_373,refute_5_374]) ).
cnf(refute_5_376,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_5_377,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_5_378,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e20,e23)) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_5_376,refute_5_377]) ).
cnf(refute_5_379,plain,
op2(e20,op2(e20,e23)) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_378]) ).
cnf(refute_5_380,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h3(e11))
| op2(h10(e10),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_5_381,plain,
( op2(h10(e10),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h3(e11))) )],[refute_5_379,refute_5_380]) ).
cnf(refute_5_382,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,op2(e20,e23))) )],[refute_5_375,refute_5_381]) ).
cnf(refute_5_383,plain,
op2(h10(e10),e23) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_5_357,refute_5_382]) ).
cnf(refute_5_384,plain,
op2(e20,h3(e11)) = op2(e20,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_5_385,plain,
( h3(e11) != h10(e11)
| op2(e20,h3(e11)) != op2(e20,h3(e11))
| op2(e20,h3(e11)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_5_386,plain,
( h3(e11) != h10(e11)
| op2(e20,h3(e11)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) )],[refute_5_384,refute_5_385]) ).
cnf(refute_5_387,plain,
op2(e20,h3(e11)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_5_206,refute_5_386]) ).
cnf(refute_5_388,plain,
( op2(e20,h3(e11)) != op2(e20,h10(e11))
| op2(h10(e10),e23) != op2(e20,h3(e11))
| op2(h10(e10),e23) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h3(e11))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_5_389,plain,
( op2(h10(e10),e23) != op2(e20,h3(e11))
| op2(h10(e10),e23) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h10(e11))) )],[refute_5_387,refute_5_388]) ).
cnf(refute_5_390,plain,
op2(h10(e10),e23) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h3(e11))) )],[refute_5_383,refute_5_389]) ).
cnf(refute_5_391,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_5_87]) ).
cnf(refute_5_392,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h10(e10)
| h10(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h10(e10))]]) ).
cnf(refute_5_393,plain,
( op2(e20,e20) != e20
| h10(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_5_369,refute_5_392]) ).
cnf(refute_5_394,plain,
( h10(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_5_391,refute_5_393]) ).
cnf(refute_5_395,plain,
h10(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_5_394,refute_5_56]) ).
cnf(refute_5_396,plain,
op2(h10(e10),e23) = op2(h10(e10),e23),
introduced(tautology,[refl,[$fot(op2(h10(e10),e23))]]) ).
cnf(refute_5_397,plain,
( h10(e10) != e20
| op2(h10(e10),e23) != op2(h10(e10),e23)
| op2(h10(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(h10(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_398,plain,
( h10(e10) != e20
| op2(h10(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(h10(e10),e23)) )],[refute_5_396,refute_5_397]) ).
cnf(refute_5_399,plain,
op2(h10(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h10(e10),e20) )],[refute_5_395,refute_5_398]) ).
cnf(refute_5_400,plain,
( op2(e20,e23) != h10(e11)
| op2(h10(e10),e23) != op2(e20,e23)
| op2(h10(e10),e23) = h10(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h10(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_5_401,plain,
( op2(e20,e23) != h10(e11)
| op2(h10(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,e23)) )],[refute_5_399,refute_5_400]) ).
cnf(refute_5_402,plain,
op2(h10(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_5_211,refute_5_401]) ).
cnf(refute_5_403,plain,
( op2(h10(e10),e23) != h10(e11)
| op2(h10(e10),e23) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h10(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_5_404,plain,
( op2(h10(e10),e23) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),h10(e11)) )],[refute_5_402,refute_5_403]) ).
cnf(refute_5_405,plain,
h10(e11) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h10(e11))) )],[refute_5_390,refute_5_404]) ).
cnf(refute_5_406,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_5_89]) ).
cnf(refute_5_407,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_408,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_407]) ).
cnf(refute_5_409,plain,
( h3(e11) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_5_406,refute_5_408]) ).
cnf(refute_5_410,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_411,plain,
( op2(e20,e23) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_410]) ).
cnf(refute_5_412,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_5_409,refute_5_411]) ).
cnf(refute_5_413,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_414,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_413]) ).
cnf(refute_5_415,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_5_412,refute_5_414]) ).
cnf(refute_5_416,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_5_417,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_416]) ).
cnf(refute_5_418,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_5_415,refute_5_417]) ).
cnf(refute_5_419,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_5_90]) ).
cnf(refute_5_420,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_5_421,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_420]) ).
cnf(refute_5_422,plain,
( h3(e11) != e20
| op2(e23,e23) != e20
| h3(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_5_423,plain,
( h3(e11) != e20
| h3(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_43,refute_5_422]) ).
cnf(refute_5_424,plain,
( h3(e11) != e20
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e23)) )],[refute_5_423,refute_5_421]) ).
cnf(refute_5_425,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_5_424,refute_5_419]) ).
cnf(refute_5_426,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_5_418,refute_5_425]) ).
cnf(refute_5_427,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_91]) ).
cnf(refute_5_428,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_429,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_428]) ).
cnf(refute_5_430,plain,
( h3(e11) != e21
| op2(e22,e23) != e21
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_5_431,plain,
( h3(e11) != e21
| h3(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_34,refute_5_430]) ).
cnf(refute_5_432,plain,
( h3(e11) != e21
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_5_431,refute_5_429]) ).
cnf(refute_5_433,plain,
h3(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_5_432,refute_5_427]) ).
cnf(refute_5_434,plain,
( h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_5_426,refute_5_433]) ).
cnf(refute_5_435,plain,
( h3(e11) != e22
| h3(e11) != h10(e11)
| h10(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(h10(e11))]]) ).
cnf(refute_5_436,plain,
( h3(e11) != e22
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_5_206,refute_5_435]) ).
cnf(refute_5_437,plain,
( h10(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_5_434,refute_5_436]) ).
cnf(refute_5_438,plain,
( h3(e11) != e23
| h3(e11) != h10(e11)
| h10(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(h10(e11))]]) ).
cnf(refute_5_439,plain,
( h3(e11) != e23
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_5_206,refute_5_438]) ).
cnf(refute_5_440,plain,
( h10(e11) = e22
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_5_437,refute_5_439]) ).
cnf(refute_5_441,plain,
( h10(e11) != e22
| h10(e11) != op2(e20,h10(e11))
| h10(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h10(e11),op2(e20,h10(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_5_442,plain,
( h10(e11) != op2(e20,h10(e11))
| h10(e11) = e23
| h10(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h10(e11),e22) )],[refute_5_440,refute_5_441]) ).
cnf(refute_5_443,plain,
( h10(e11) = e23
| h10(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,h10(e11))) )],[refute_5_405,refute_5_442]) ).
cnf(refute_5_444,plain,
( h10(e11) != op2(e20,e22)
| op2(e20,e22) != h2(e11)
| h10(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),h2(e11)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_5_445,plain,
( h10(e11) != op2(e20,e22)
| h10(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_5_231,refute_5_444]) ).
cnf(refute_5_446,plain,
( h10(e11) = e23
| h10(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e22)) )],[refute_5_443,refute_5_445]) ).
cnf(refute_5_447,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_5_92]) ).
cnf(refute_5_448,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) != h2(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),h2(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_5_449,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_5_231,refute_5_448]) ).
cnf(refute_5_450,plain,
( h2(e11) != h3(e11)
| op2(e20,e23) != h3(e11)
| h2(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_5_451,plain,
( h2(e11) != h3(e11)
| h2(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_5_183,refute_5_450]) ).
cnf(refute_5_452,plain,
( h2(e11) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e23)) )],[refute_5_451,refute_5_449]) ).
cnf(refute_5_453,plain,
h2(e11) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_5_452,refute_5_447]) ).
cnf(refute_5_454,plain,
( h2(e11) != h10(e11)
| h3(e11) != h10(e11)
| h2(e11) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h3(e11)) ),[1],$fot(h10(e11))]]) ).
cnf(refute_5_455,plain,
( h2(e11) != h10(e11)
| h2(e11) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_5_206,refute_5_454]) ).
cnf(refute_5_456,plain,
h2(e11) != h10(e11),
inference(resolve,[$cnf( $equal(h2(e11),h3(e11)) )],[refute_5_455,refute_5_453]) ).
cnf(refute_5_457,plain,
( h10(e11) != h2(e11)
| h2(e11) = h10(e11) ),
inference(subst,[],[refute_5_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_5_458,plain,
h10(e11) != h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h10(e11)) )],[refute_5_457,refute_5_456]) ).
cnf(refute_5_459,plain,
h10(e11) = e23,
inference(resolve,[$cnf( $equal(h10(e11),h2(e11)) )],[refute_5_446,refute_5_458]) ).
cnf(refute_5_460,plain,
( h10(e11) != e23
| op2(h1(e11),e22) != h10(e11)
| op2(h1(e11),e22) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),h10(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_5_461,plain,
( op2(h1(e11),e22) != h10(e11)
| op2(h1(e11),e22) = e23 ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_5_459,refute_5_460]) ).
cnf(refute_5_462,plain,
op2(h1(e11),e22) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),h10(e11)) )],[refute_5_356,refute_5_461]) ).
cnf(refute_5_463,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(canonicalize,[],[normalize_5_93]) ).
cnf(refute_5_464,plain,
op2(op2(e22,e23),e20) = op2(op2(e22,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e20))]]) ).
cnf(refute_5_465,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) != op2(op2(e22,e23),e20)
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_466,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) )],[refute_5_464,refute_5_465]) ).
cnf(refute_5_467,plain,
op2(op2(e22,e23),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_34,refute_5_466]) ).
cnf(refute_5_468,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e21,e20)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(op2(e22,e23),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_5_469,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e21,e20)) )],[refute_5_467,refute_5_468]) ).
cnf(refute_5_470,plain,
op2(op2(e22,e23),e20) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_5_110,refute_5_469]) ).
cnf(refute_5_471,plain,
( op2(op2(e22,e23),e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) ),[0],$fot(h4(e11))]]) ).
cnf(refute_5_472,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),h4(e11)) )],[refute_5_470,refute_5_471]) ).
cnf(refute_5_473,plain,
op2(e22,op2(e23,e20)) = op2(e22,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_5_474,plain,
( op2(e22,op2(e23,e20)) != op2(e22,op2(e23,e20))
| op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_5_475,plain,
( op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) )],[refute_5_473,refute_5_474]) ).
cnf(refute_5_476,plain,
op2(e22,op2(e23,e20)) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_5_195,refute_5_475]) ).
cnf(refute_5_477,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| op2(e22,op2(e23,e20)) != op2(e22,h10(e11))
| h4(e11) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(e22,h10(e11))) ),[0],$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_5_478,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,h10(e11))) )],[refute_5_476,refute_5_477]) ).
cnf(refute_5_479,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,op2(e23,e20))) )],[refute_5_472,refute_5_478]) ).
cnf(refute_5_480,plain,
h4(e11) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) )],[refute_5_463,refute_5_479]) ).
cnf(refute_5_481,plain,
( h4(e11) != h1(e11)
| h4(e11) != op2(e22,h10(e11))
| h1(e11) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),op2(e22,h10(e11))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_5_482,plain,
( h4(e11) != op2(e22,h10(e11))
| h1(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_5_123,refute_5_481]) ).
cnf(refute_5_483,plain,
h1(e11) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,h10(e11))) )],[refute_5_480,refute_5_482]) ).
cnf(refute_5_484,plain,
op2(e22,h10(e11)) = op2(e22,h10(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h10(e11)))]]) ).
cnf(refute_5_485,plain,
( h10(e11) != e23
| op2(e22,h10(e11)) != op2(e22,h10(e11))
| op2(e22,h10(e11)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h10(e11)),op2(e22,h10(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_486,plain,
( h10(e11) != e23
| op2(e22,h10(e11)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h10(e11)),op2(e22,h10(e11))) )],[refute_5_484,refute_5_485]) ).
cnf(refute_5_487,plain,
op2(e22,h10(e11)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_5_459,refute_5_486]) ).
cnf(refute_5_488,plain,
( op2(e22,e23) != e21
| op2(e22,h10(e11)) != op2(e22,e23)
| op2(e22,h10(e11)) = e21 ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(e22,h10(e11)))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_5_489,plain,
( op2(e22,e23) != e21
| op2(e22,h10(e11)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,h10(e11)),op2(e22,e23)) )],[refute_5_487,refute_5_488]) ).
cnf(refute_5_490,plain,
op2(e22,h10(e11)) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_34,refute_5_489]) ).
cnf(refute_5_491,plain,
( h1(e11) != op2(e22,h10(e11))
| op2(e22,h10(e11)) != e21
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),e21) ),[0],$fot(op2(e22,h10(e11)))]]) ).
cnf(refute_5_492,plain,
( h1(e11) != op2(e22,h10(e11))
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,h10(e11)),e21) )],[refute_5_490,refute_5_491]) ).
cnf(refute_5_493,plain,
h1(e11) = e21,
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,h10(e11))) )],[refute_5_483,refute_5_492]) ).
cnf(refute_5_494,plain,
op2(h1(e11),e22) = op2(h1(e11),e22),
introduced(tautology,[refl,[$fot(op2(h1(e11),e22))]]) ).
cnf(refute_5_495,plain,
( h1(e11) != e21
| op2(h1(e11),e22) != op2(h1(e11),e22)
| op2(h1(e11),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(h1(e11),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_496,plain,
( h1(e11) != e21
| op2(h1(e11),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(h1(e11),e22)) )],[refute_5_494,refute_5_495]) ).
cnf(refute_5_497,plain,
op2(h1(e11),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_493,refute_5_496]) ).
cnf(refute_5_498,plain,
( op2(e21,e22) != h5(e11)
| op2(h1(e11),e22) != op2(e21,e22)
| op2(h1(e11),e22) = h5(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h1(e11),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_5_499,plain,
( op2(e21,e22) != h5(e11)
| op2(h1(e11),e22) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e21,e22)) )],[refute_5_497,refute_5_498]) ).
cnf(refute_5_500,plain,
op2(h1(e11),e22) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_5_66,refute_5_499]) ).
cnf(refute_5_501,plain,
( op2(h1(e11),e22) != e23
| op2(h1(e11),e22) != h5(e11)
| h5(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),e23) ),[0],$fot(h5(e11))]]) ).
cnf(refute_5_502,plain,
( op2(h1(e11),e22) != e23
| h5(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),h5(e11)) )],[refute_5_500,refute_5_501]) ).
cnf(refute_5_503,plain,
h5(e11) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),e23) )],[refute_5_462,refute_5_502]) ).
cnf(refute_5_504,plain,
op2(h5(e11),e22) = op2(h5(e11),e22),
introduced(tautology,[refl,[$fot(op2(h5(e11),e22))]]) ).
cnf(refute_5_505,plain,
( h5(e11) != e23
| op2(h5(e11),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_506,plain,
( h5(e11) != e23
| op2(h5(e11),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) )],[refute_5_504,refute_5_505]) ).
cnf(refute_5_507,plain,
op2(h5(e11),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h5(e11),e23) )],[refute_5_503,refute_5_506]) ).
cnf(refute_5_508,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) != op2(e23,e22)
| op2(h5(e11),e22) = h12(e11) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h5(e11),e22))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_5_509,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e23,e22)) )],[refute_5_507,refute_5_508]) ).
cnf(refute_5_510,plain,
op2(h5(e11),e22) = h12(e11),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_5_146,refute_5_509]) ).
cnf(refute_5_511,plain,
( op2(h5(e11),e22) != h1(e11)
| op2(h5(e11),e22) != h12(e11)
| h12(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) ),[0],$fot(h12(e11))]]) ).
cnf(refute_5_512,plain,
( op2(h5(e11),e22) != h1(e11)
| h12(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h12(e11)) )],[refute_5_510,refute_5_511]) ).
cnf(refute_5_513,plain,
( h1(e11) != e21
| h12(e11) != h1(e11)
| h12(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h12(e11),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_5_514,plain,
( h12(e11) != h1(e11)
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_5_493,refute_5_513]) ).
cnf(refute_5_515,plain,
( op2(h5(e11),e22) != h1(e11)
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(h12(e11),h1(e11)) )],[refute_5_512,refute_5_514]) ).
cnf(refute_5_516,plain,
h12(e11) = e21,
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) )],[refute_5_143,refute_5_515]) ).
cnf(refute_5_517,plain,
op2(e21,h12(e11)) = op2(e21,h12(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h12(e11)))]]) ).
cnf(refute_5_518,plain,
( h12(e11) != e21
| op2(e21,h12(e11)) != op2(e21,h12(e11))
| op2(e21,h12(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h12(e11)),op2(e21,h12(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_519,plain,
( h12(e11) != e21
| op2(e21,h12(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e11)),op2(e21,h12(e11))) )],[refute_5_517,refute_5_518]) ).
cnf(refute_5_520,plain,
op2(e21,h12(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_5_516,refute_5_519]) ).
cnf(refute_5_521,plain,
op2(h12(e11),h12(e11)) = op2(h12(e11),h12(e11)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e11)))]]) ).
cnf(refute_5_522,plain,
( h12(e11) != e21
| op2(h12(e11),h12(e11)) != op2(h12(e11),h12(e11))
| op2(h12(e11),h12(e11)) = op2(e21,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e11)),op2(h12(e11),h12(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_523,plain,
( h12(e11) != e21
| op2(h12(e11),h12(e11)) = op2(e21,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e11)),op2(h12(e11),h12(e11))) )],[refute_5_521,refute_5_522]) ).
cnf(refute_5_524,plain,
op2(h12(e11),h12(e11)) = op2(e21,h12(e11)),
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_5_516,refute_5_523]) ).
cnf(refute_5_525,plain,
( op2(e21,h12(e11)) != op2(e21,e21)
| op2(h12(e11),h12(e11)) != op2(e21,h12(e11))
| op2(h12(e11),h12(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h12(e11),h12(e11)))),bind(Y,$fot(op2(e21,h12(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_526,plain,
( op2(e21,h12(e11)) != op2(e21,e21)
| op2(h12(e11),h12(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e11)),op2(e21,h12(e11))) )],[refute_5_524,refute_5_525]) ).
cnf(refute_5_527,plain,
op2(h12(e11),h12(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h12(e11)),op2(e21,e21)) )],[refute_5_520,refute_5_526]) ).
cnf(refute_5_528,plain,
( op2(e21,e21) != e20
| op2(h12(e11),h12(e11)) != op2(e21,e21)
| op2(h12(e11),h12(e11)) = e20 ),
inference(subst,[],[refute_5_22:[bind(X,$fot(op2(h12(e11),h12(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_529,plain,
( op2(e21,e21) != e20
| op2(h12(e11),h12(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e11)),op2(e21,e21)) )],[refute_5_527,refute_5_528]) ).
cnf(refute_5_530,plain,
op2(h12(e11),h12(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_5_62,refute_5_529]) ).
cnf(refute_5_531,plain,
( h12(op1(e11,e11)) != e20
| op2(h12(e11),h12(e11)) != e20
| h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e11)),op2(h12(e11),h12(e11))) ),[1],$fot(e20)]]) ).
cnf(refute_5_532,plain,
( h12(op1(e11,e11)) != e20
| h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e11)),e20) )],[refute_5_530,refute_5_531]) ).
cnf(refute_5_533,plain,
h12(op1(e11,e11)) != e20,
inference(resolve,[$cnf( $equal(h12(op1(e11,e11)),op2(h12(e11),h12(e11))) )],[refute_5_532,refute_5_0]) ).
cnf(refute_5_534,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_5_96]) ).
cnf(refute_5_535,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_5_100]) ).
cnf(refute_5_536,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_102]) ).
cnf(refute_5_537,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_5_104]) ).
cnf(refute_5_538,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_5_539,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_5_537,refute_5_538]) ).
cnf(refute_5_540,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_541,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_5_539,refute_5_540]) ).
cnf(refute_5_542,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_5_541,refute_5_536]) ).
cnf(refute_5_543,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_5_535,refute_5_542]) ).
cnf(refute_5_544,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_5_110]) ).
cnf(refute_5_545,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_5_111]) ).
cnf(refute_5_546,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_5_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_547,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_5_545,refute_5_546]) ).
cnf(refute_5_548,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_5_549,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_547,refute_5_548]) ).
cnf(refute_5_550,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_5_544,refute_5_549]) ).
cnf(refute_5_551,plain,
e10 != e13,
inference(canonicalize,[],[normalize_5_113]) ).
cnf(refute_5_552,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_5_550,refute_5_551]) ).
cnf(refute_5_553,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_5_115]) ).
cnf(refute_5_554,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_5_555,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_5_547,refute_5_554]) ).
cnf(refute_5_556,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_5_553,refute_5_555]) ).
cnf(refute_5_557,plain,
e10 != e12,
inference(canonicalize,[],[normalize_5_116]) ).
cnf(refute_5_558,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_5_556,refute_5_557]) ).
cnf(refute_5_559,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_5_552,refute_5_558]) ).
cnf(refute_5_560,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_5_559,refute_5_543]) ).
cnf(refute_5_561,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_5_534,refute_5_560]) ).
cnf(refute_5_562,plain,
h12(op1(e11,e11)) = h12(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e11)))]]) ).
cnf(refute_5_563,plain,
( h12(op1(e11,e11)) != h12(op1(e11,e11))
| op1(e11,e11) != e10
| h12(op1(e11,e11)) = h12(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e11)),h12(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_564,plain,
( op1(e11,e11) != e10
| h12(op1(e11,e11)) = h12(e10) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e11)),h12(op1(e11,e11))) )],[refute_5_562,refute_5_563]) ).
cnf(refute_5_565,plain,
h12(op1(e11,e11)) = h12(e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_5_561,refute_5_564]) ).
cnf(refute_5_566,plain,
( h12(e10) != e20
| h12(op1(e11,e11)) != h12(e10)
| h12(op1(e11,e11)) = e20 ),
inference(subst,[],[refute_5_22:[bind(X,$fot(h12(op1(e11,e11)))),bind(Y,$fot(h12(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_567,plain,
( h12(e10) != e20
| h12(op1(e11,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e11)),h12(e10)) )],[refute_5_565,refute_5_566]) ).
cnf(refute_5_568,plain,
h12(op1(e11,e11)) = e20,
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_5_133,refute_5_567]) ).
cnf(refute_5_569,plain,
( e20 != e20
| h12(op1(e11,e11)) != e20
| h12(op1(e11,e11)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e11)),e20) ),[1],$fot(e20)]]) ).
cnf(refute_5_570,plain,
( e20 != e20
| h12(op1(e11,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e11)),e20) )],[refute_5_568,refute_5_569]) ).
cnf(refute_5_571,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h12(op1(e11,e11)),e20) )],[refute_5_570,refute_5_533]) ).
cnf(refute_5_572,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_5_573,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_572,refute_5_571]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11)) )
=> h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_6_0]) ).
fof(normalize_6_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_6_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_6_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_6_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_6_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_6_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_6_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_6_16]) ).
fof(normalize_6_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_6_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_6_19]) ).
fof(normalize_6_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_6_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_6_22]) ).
fof(normalize_6_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_6_22]) ).
fof(normalize_6_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_6_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_6_25]) ).
fof(normalize_6_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_6_25]) ).
fof(normalize_6_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_6_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_6_28]) ).
fof(normalize_6_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_6_28]) ).
fof(normalize_6_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_6_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_34,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_6_0,normalize_6_2,normalize_6_3,normalize_6_5,normalize_6_6,normalize_6_8,normalize_6_9,normalize_6_11,normalize_6_12,normalize_6_14,normalize_6_15,normalize_6_17,normalize_6_18,normalize_6_20,normalize_6_21,normalize_6_23,normalize_6_24,normalize_6_26,normalize_6_27,normalize_6_29,normalize_6_30,normalize_6_32,normalize_6_33]) ).
fof(normalize_6_35,plain,
h12(op1(e11,e12)) != op2(h12(e11),h12(e12)),
inference(conjunct,[],[normalize_6_34]) ).
fof(normalize_6_36,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_6_37,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_38,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_6_39,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_6_38]) ).
fof(normalize_6_40,plain,
h11(e11) = op2(e23,e21),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_41,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_6_42,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_43,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_6_38]) ).
fof(normalize_6_44,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_6_45,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_6_44]) ).
fof(normalize_6_46,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_6_22]) ).
fof(normalize_6_47,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax18]) ).
fof(normalize_6_48,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_49,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_6_41]) ).
fof(normalize_6_50,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_51,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_6_34]) ).
fof(normalize_6_52,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_53,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_6_38]) ).
fof(normalize_6_54,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_55,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_6_38]) ).
fof(normalize_6_56,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_6_10]) ).
fof(normalize_6_57,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_6_58,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_6_57]) ).
fof(normalize_6_59,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_6_58]) ).
fof(normalize_6_60,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_6_61,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_6_60,normalize_6_57]) ).
fof(normalize_6_62,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_6_61]) ).
fof(normalize_6_63,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_6_62]) ).
fof(normalize_6_64,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_65,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_6_66,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_6_65,normalize_6_61,normalize_6_57]) ).
fof(normalize_6_67,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_6_68,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_6_66,normalize_6_67]) ).
fof(normalize_6_69,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_6_68]) ).
fof(normalize_6_70,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_6_69]) ).
fof(normalize_6_71,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_6_72,plain,
e20 != e23,
inference(conjunct,[],[normalize_6_71]) ).
fof(normalize_6_73,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_6_67]) ).
fof(normalize_6_74,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_6_73]) ).
fof(normalize_6_75,plain,
e20 != e22,
inference(conjunct,[],[normalize_6_71]) ).
fof(normalize_6_76,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_6_25]) ).
fof(normalize_6_77,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_78,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_79,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_6_4]) ).
fof(normalize_6_80,plain,
h1(e11) = op2(e20,e21),
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_81,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_82,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_6_13]) ).
fof(normalize_6_83,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_84,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_85,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_6_28]) ).
fof(normalize_6_86,plain,
h1(e10) = op2(e21,e21),
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_87,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_6_58]) ).
fof(normalize_6_88,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_6_36]) ).
fof(normalize_6_89,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_6_44]) ).
fof(normalize_6_90,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_91,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_92,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_6_47]) ).
fof(normalize_6_93,plain,
e22 != e23,
inference(conjunct,[],[normalize_6_71]) ).
fof(normalize_6_94,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_6_95,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_96,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_97,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_6_98,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_6_97]) ).
fof(normalize_6_99,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_98]) ).
fof(normalize_6_100,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_6_101,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_6_100,normalize_6_97]) ).
fof(normalize_6_102,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_6_101]) ).
fof(normalize_6_103,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_6_102]) ).
fof(normalize_6_104,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,[],[ax17]) ).
fof(normalize_6_105,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_6_104]) ).
fof(normalize_6_106,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_6_107,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_6_106]) ).
fof(normalize_6_108,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_6_109,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_6_108,normalize_6_101,normalize_6_97]) ).
fof(normalize_6_110,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_6_111,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_6_109,normalize_6_110]) ).
fof(normalize_6_112,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_6_111]) ).
fof(normalize_6_113,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_6_112]) ).
fof(normalize_6_114,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_6_106]) ).
fof(normalize_6_115,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_6_116,plain,
e10 != e13,
inference(conjunct,[],[normalize_6_115]) ).
fof(normalize_6_117,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_6_110]) ).
fof(normalize_6_118,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_6_117]) ).
fof(normalize_6_119,plain,
e10 != e12,
inference(conjunct,[],[normalize_6_115]) ).
fof(normalize_6_120,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_121,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_122,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_123,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_6_98]) ).
fof(normalize_6_124,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_125,plain,
op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_126,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_127,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_128,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_129,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_6_128]) ).
fof(normalize_6_130,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_6_104]) ).
fof(normalize_6_131,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_6_104]) ).
fof(normalize_6_132,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_6_104]) ).
fof(normalize_6_133,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(conjunct,[],[normalize_6_94]) ).
fof(normalize_6_134,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_6_94]) ).
cnf(refute_6_0,plain,
h12(op1(e11,e12)) != op2(h12(e11),h12(e12)),
inference(canonicalize,[],[normalize_6_35]) ).
cnf(refute_6_1,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(canonicalize,[],[normalize_6_37]) ).
cnf(refute_6_2,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_6_39]) ).
cnf(refute_6_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_6_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_6_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_6_3,refute_6_4]) ).
cnf(refute_6_6,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_6_7,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_6_2,refute_6_6]) ).
cnf(refute_6_8,plain,
op2(op2(e23,e22),e23) = op2(op2(e23,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e23))]]) ).
cnf(refute_6_9,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) != op2(op2(e23,e22),e23)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) ),[1,0],$fot(h12(e11))]]) ).
cnf(refute_6_10,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) )],[refute_6_8,refute_6_9]) ).
cnf(refute_6_11,plain,
op2(op2(e23,e22),e23) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_6_7,refute_6_10]) ).
cnf(refute_6_12,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(op2(e23,e22),e23) != op2(h12(e11),e23)
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) ),[0],$fot(op2(h12(e11),e23))]]) ).
cnf(refute_6_13,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(h12(e11),e23)) )],[refute_6_11,refute_6_12]) ).
cnf(refute_6_14,plain,
h11(e11) = op2(e23,e21),
inference(canonicalize,[],[normalize_6_40]) ).
cnf(refute_6_15,plain,
( h11(e11) != op2(e23,e21)
| op2(e23,e21) = h11(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h11(e11))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_6_16,plain,
op2(e23,e21) = h11(e11),
inference(resolve,[$cnf( $equal(h11(e11),op2(e23,e21)) )],[refute_6_14,refute_6_15]) ).
cnf(refute_6_17,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_6_42]) ).
cnf(refute_6_18,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_6_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_6_19,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_6_17,refute_6_18]) ).
cnf(refute_6_20,plain,
op2(e23,op2(e22,e23)) = op2(e23,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e23)))]]) ).
cnf(refute_6_21,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) != op2(e23,op2(e22,e23))
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_22,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) )],[refute_6_20,refute_6_21]) ).
cnf(refute_6_23,plain,
op2(e23,op2(e22,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_19,refute_6_22]) ).
cnf(refute_6_24,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_6_25,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_5,refute_6_24]) ).
cnf(refute_6_26,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) != op2(e23,e21)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(e23,op2(e22,e23)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_6_27,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,e21)) )],[refute_6_23,refute_6_26]) ).
cnf(refute_6_28,plain,
op2(e23,op2(e22,e23)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_6_16,refute_6_27]) ).
cnf(refute_6_29,plain,
( op2(e23,op2(e22,e23)) != h11(e11)
| op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) ),[1],$fot(h11(e11))]]) ).
cnf(refute_6_30,plain,
( op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),h11(e11)) )],[refute_6_28,refute_6_29]) ).
cnf(refute_6_31,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) )],[refute_6_13,refute_6_30]) ).
cnf(refute_6_32,plain,
op2(h12(e11),e23) = h11(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) )],[refute_6_1,refute_6_31]) ).
cnf(refute_6_33,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_6_43]) ).
cnf(refute_6_34,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e12)))]]) ).
cnf(refute_6_35,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) != op2(h12(e11),h12(e12))
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_36,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) )],[refute_6_34,refute_6_35]) ).
cnf(refute_6_37,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_6_33,refute_6_36]) ).
cnf(refute_6_38,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) != op2(h12(e11),e23)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(h12(e11),h12(e12)))),bind(Y,$fot(op2(h12(e11),e23))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_6_39,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),e23)) )],[refute_6_37,refute_6_38]) ).
cnf(refute_6_40,plain,
op2(h12(e11),h12(e12)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),h11(e11)) )],[refute_6_32,refute_6_39]) ).
cnf(refute_6_41,plain,
( h12(op1(e11,e12)) != h11(e11)
| op2(h12(e11),h12(e12)) != h11(e11)
| h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e12)),op2(h12(e11),h12(e12))) ),[1],$fot(h11(e11))]]) ).
cnf(refute_6_42,plain,
( h12(op1(e11,e12)) != h11(e11)
| h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),h11(e11)) )],[refute_6_40,refute_6_41]) ).
cnf(refute_6_43,plain,
h12(op1(e11,e12)) != h11(e11),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),op2(h12(e11),h12(e12))) )],[refute_6_42,refute_6_0]) ).
cnf(refute_6_44,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_6_45]) ).
cnf(refute_6_45,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_6_46]) ).
cnf(refute_6_46,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_6_47,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_6_45,refute_6_46]) ).
cnf(refute_6_48,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h6(e11)
| h6(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h6(e11))]]) ).
cnf(refute_6_49,plain,
( op2(e21,e23) != e20
| h6(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_6_47,refute_6_48]) ).
cnf(refute_6_50,plain,
( h6(e11) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_6_44,refute_6_49]) ).
cnf(refute_6_51,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h6(e11)
| h6(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h6(e11))]]) ).
cnf(refute_6_52,plain,
( op2(e21,e23) != e21
| h6(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_6_47,refute_6_51]) ).
cnf(refute_6_53,plain,
( h6(e11) = e20
| h6(e11) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_6_50,refute_6_52]) ).
cnf(refute_6_54,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h6(e11)
| h6(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h6(e11))]]) ).
cnf(refute_6_55,plain,
( op2(e21,e23) != e22
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_6_47,refute_6_54]) ).
cnf(refute_6_56,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_6_53,refute_6_55]) ).
cnf(refute_6_57,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h6(e11)
| h6(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h6(e11))]]) ).
cnf(refute_6_58,plain,
( op2(e21,e23) != e23
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_6_47,refute_6_57]) ).
cnf(refute_6_59,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_6_56,refute_6_58]) ).
cnf(refute_6_60,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_48]) ).
cnf(refute_6_61,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_6_62,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_6_47,refute_6_61]) ).
cnf(refute_6_63,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_6_49]) ).
cnf(refute_6_64,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_6_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_65,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_6_63,refute_6_64]) ).
cnf(refute_6_66,plain,
( h6(e11) != e20
| op2(e23,e23) != e20
| h6(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_67,plain,
( h6(e11) != e20
| h6(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_65,refute_6_66]) ).
cnf(refute_6_68,plain,
( h6(e11) != e20
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e23,e23)) )],[refute_6_67,refute_6_62]) ).
cnf(refute_6_69,plain,
h6(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_6_68,refute_6_60]) ).
cnf(refute_6_70,plain,
( h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e20) )],[refute_6_59,refute_6_69]) ).
cnf(refute_6_71,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_50]) ).
cnf(refute_6_72,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_73,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_6_47,refute_6_72]) ).
cnf(refute_6_74,plain,
( h6(e11) != e21
| op2(e22,e23) != e21
| h6(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_75,plain,
( h6(e11) != e21
| h6(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_19,refute_6_74]) ).
cnf(refute_6_76,plain,
( h6(e11) != e21
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e23)) )],[refute_6_75,refute_6_73]) ).
cnf(refute_6_77,plain,
h6(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_6_76,refute_6_71]) ).
cnf(refute_6_78,plain,
( h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e21) )],[refute_6_70,refute_6_77]) ).
cnf(refute_6_79,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_6_51]) ).
cnf(refute_6_80,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_6_52]) ).
cnf(refute_6_81,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_6_53]) ).
cnf(refute_6_82,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_6_54]) ).
cnf(refute_6_83,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_84,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_6_82,refute_6_83]) ).
cnf(refute_6_85,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_6_86,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_6_84,refute_6_85]) ).
cnf(refute_6_87,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_6_81,refute_6_86]) ).
cnf(refute_6_88,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_6_89,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_6_87,refute_6_88]) ).
cnf(refute_6_90,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_6_91,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_6_84,refute_6_90]) ).
cnf(refute_6_92,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_6_89,refute_6_91]) ).
cnf(refute_6_93,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_6_94,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_6_95,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_6_93,refute_6_94]) ).
cnf(refute_6_96,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_6_92,refute_6_95]) ).
cnf(refute_6_97,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_6_98,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_6_96,refute_6_97]) ).
cnf(refute_6_99,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_6_100,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_6_101,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_6_99,refute_6_100]) ).
cnf(refute_6_102,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_6_92,refute_6_101]) ).
cnf(refute_6_103,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_6_104,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_6_102,refute_6_103]) ).
cnf(refute_6_105,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_6_98,refute_6_104]) ).
cnf(refute_6_106,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_6_80,refute_6_105]) ).
cnf(refute_6_107,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_6_55]) ).
cnf(refute_6_108,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_6_109,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_6_110,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_6_108,refute_6_109]) ).
cnf(refute_6_111,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_6_107,refute_6_110]) ).
cnf(refute_6_112,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_6_113,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_6_111,refute_6_112]) ).
cnf(refute_6_114,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_6_106,refute_6_113]) ).
cnf(refute_6_115,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_6_116,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_6_114,refute_6_115]) ).
cnf(refute_6_117,plain,
h12(op1(e10,e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_6_79,refute_6_116]) ).
cnf(refute_6_118,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = h12(op1(e10,e13)) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h12(op1(e10,e13)))),bind(Y,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_6_119,plain,
op2(e22,h12(e10)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_6_117,refute_6_118]) ).
cnf(refute_6_120,plain,
( op2(e22,h12(e10)) != h12(op1(e10,e13))
| op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) ),[1],$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_6_121,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h12(op1(e10,e13))) )],[refute_6_119,refute_6_120]) ).
cnf(refute_6_122,plain,
op2(h12(e10),e22) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_6_106,refute_6_121]) ).
cnf(refute_6_123,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_6_56]) ).
cnf(refute_6_124,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_6_125,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_6_123,refute_6_124]) ).
cnf(refute_6_126,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_6_59]) ).
cnf(refute_6_127,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_6_128,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_6_92,refute_6_127]) ).
cnf(refute_6_129,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_6_126,refute_6_128]) ).
cnf(refute_6_130,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_6_63]) ).
cnf(refute_6_131,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_6_132,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_6_92,refute_6_131]) ).
cnf(refute_6_133,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_6_130,refute_6_132]) ).
cnf(refute_6_134,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_64]) ).
cnf(refute_6_135,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_136,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_6_92,refute_6_135]) ).
cnf(refute_6_137,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_138,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_19,refute_6_137]) ).
cnf(refute_6_139,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_6_138,refute_6_136]) ).
cnf(refute_6_140,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_6_139,refute_6_134]) ).
cnf(refute_6_141,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_6_133,refute_6_140]) ).
cnf(refute_6_142,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_6_70]) ).
cnf(refute_6_143,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_6_144,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_65,refute_6_143]) ).
cnf(refute_6_145,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_6_142,refute_6_144]) ).
cnf(refute_6_146,plain,
e20 != e23,
inference(canonicalize,[],[normalize_6_72]) ).
cnf(refute_6_147,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_6_145,refute_6_146]) ).
cnf(refute_6_148,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_6_74]) ).
cnf(refute_6_149,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_6_150,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_65,refute_6_149]) ).
cnf(refute_6_151,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_6_148,refute_6_150]) ).
cnf(refute_6_152,plain,
e20 != e22,
inference(canonicalize,[],[normalize_6_75]) ).
cnf(refute_6_153,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_6_151,refute_6_152]) ).
cnf(refute_6_154,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_6_147,refute_6_153]) ).
cnf(refute_6_155,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_6_154,refute_6_141]) ).
cnf(refute_6_156,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_6_129,refute_6_155]) ).
cnf(refute_6_157,plain,
op2(h12(e10),e22) = op2(h12(e10),e22),
introduced(tautology,[refl,[$fot(op2(h12(e10),e22))]]) ).
cnf(refute_6_158,plain,
( h12(e10) != e20
| op2(h12(e10),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_159,plain,
( h12(e10) != e20
| op2(h12(e10),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) )],[refute_6_157,refute_6_158]) ).
cnf(refute_6_160,plain,
op2(h12(e10),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_6_156,refute_6_159]) ).
cnf(refute_6_161,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) != op2(e20,e22)
| op2(h12(e10),e22) = h2(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(h12(e10),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_6_162,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e20,e22)) )],[refute_6_160,refute_6_161]) ).
cnf(refute_6_163,plain,
op2(h12(e10),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_6_125,refute_6_162]) ).
cnf(refute_6_164,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| op2(h12(e10),e22) != h2(e11)
| h2(e11) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_165,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| h2(e11) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h2(e11)) )],[refute_6_163,refute_6_164]) ).
cnf(refute_6_166,plain,
h2(e11) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) )],[refute_6_122,refute_6_165]) ).
cnf(refute_6_167,plain,
( h2(e11) != h12(op1(e10,e13))
| h12(op1(e10,e13)) = h2(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(h12(op1(e10,e13))))]]) ).
cnf(refute_6_168,plain,
h12(op1(e10,e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h12(op1(e10,e13))) )],[refute_6_166,refute_6_167]) ).
cnf(refute_6_169,plain,
( h12(op1(e10,e13)) != h2(e11)
| h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_6_170,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) )],[refute_6_168,refute_6_169]) ).
cnf(refute_6_171,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_6_76]) ).
cnf(refute_6_172,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_77]) ).
cnf(refute_6_173,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_6_174,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_175,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_6_173,refute_6_174]) ).
cnf(refute_6_176,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_19,refute_6_175]) ).
cnf(refute_6_177,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_6_178,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_6_176,refute_6_177]) ).
cnf(refute_6_179,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_6_47,refute_6_178]) ).
cnf(refute_6_180,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_6_181,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_6_179,refute_6_180]) ).
cnf(refute_6_182,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_6_183,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_6_171,refute_6_182]) ).
cnf(refute_6_184,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_6_185,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_186,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_6_184,refute_6_185]) ).
cnf(refute_6_187,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_65,refute_6_186]) ).
cnf(refute_6_188,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_6_189,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_6_187,refute_6_188]) ).
cnf(refute_6_190,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_6_183,refute_6_189]) ).
cnf(refute_6_191,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_6_192,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_6_190,refute_6_191]) ).
cnf(refute_6_193,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_6_181,refute_6_192]) ).
cnf(refute_6_194,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_6_172,refute_6_193]) ).
cnf(refute_6_195,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_6_196,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_6_194,refute_6_195]) ).
cnf(refute_6_197,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_6_198,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_6_196,refute_6_197]) ).
cnf(refute_6_199,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_6_171,refute_6_198]) ).
cnf(refute_6_200,plain,
( h6(e11) != op2(e22,e20)
| op2(e22,e20) = h6(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_6_201,plain,
op2(e22,e20) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_6_199,refute_6_200]) ).
cnf(refute_6_202,plain,
op2(e22,h12(e10)) = op2(e22,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_6_203,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_204,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) )],[refute_6_202,refute_6_203]) ).
cnf(refute_6_205,plain,
op2(e22,h12(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_6_156,refute_6_204]) ).
cnf(refute_6_206,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) != op2(e22,e20)
| op2(e22,h12(e10)) = h6(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(e22,h12(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_6_207,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,e20)) )],[refute_6_205,refute_6_206]) ).
cnf(refute_6_208,plain,
op2(e22,h12(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_6_201,refute_6_207]) ).
cnf(refute_6_209,plain,
( h2(e11) != op2(e22,h12(e10))
| op2(e22,h12(e10)) != h6(e11)
| h2(e11) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h6(e11)) ),[0],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_6_210,plain,
( h2(e11) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h6(e11)) )],[refute_6_208,refute_6_209]) ).
cnf(refute_6_211,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h12(e10))) )],[refute_6_170,refute_6_210]) ).
cnf(refute_6_212,plain,
h2(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_6_117,refute_6_211]) ).
cnf(refute_6_213,plain,
op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21)),
inference(canonicalize,[],[normalize_6_78]) ).
cnf(refute_6_214,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_6_79]) ).
cnf(refute_6_215,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_6_216,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_6_214,refute_6_215]) ).
cnf(refute_6_217,plain,
op2(op2(e23,e20),e21) = op2(op2(e23,e20),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e20),e21))]]) ).
cnf(refute_6_218,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e21) != op2(op2(e23,e20),e21)
| op2(op2(e23,e20),e21) = op2(h10(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e21),op2(op2(e23,e20),e21)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_6_219,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e21) = op2(h10(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e21),op2(op2(e23,e20),e21)) )],[refute_6_217,refute_6_218]) ).
cnf(refute_6_220,plain,
op2(op2(e23,e20),e21) = op2(h10(e11),e21),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_6_216,refute_6_219]) ).
cnf(refute_6_221,plain,
( op2(op2(e23,e20),e21) != op2(e23,op2(e20,e21))
| op2(op2(e23,e20),e21) != op2(h10(e11),e21)
| op2(h10(e11),e21) = op2(e23,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e21),op2(e23,op2(e20,e21))) ),[0],$fot(op2(h10(e11),e21))]]) ).
cnf(refute_6_222,plain,
( op2(op2(e23,e20),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e21),op2(h10(e11),e21)) )],[refute_6_220,refute_6_221]) ).
cnf(refute_6_223,plain,
h1(e11) = op2(e20,e21),
inference(canonicalize,[],[normalize_6_80]) ).
cnf(refute_6_224,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_6_225,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_6_223,refute_6_224]) ).
cnf(refute_6_226,plain,
op2(e23,op2(e20,e21)) = op2(e23,op2(e20,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e20,e21)))]]) ).
cnf(refute_6_227,plain,
( op2(e20,e21) != h1(e11)
| op2(e23,op2(e20,e21)) != op2(e23,op2(e20,e21))
| op2(e23,op2(e20,e21)) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e20,e21)),op2(e23,op2(e20,e21))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_6_228,plain,
( op2(e20,e21) != h1(e11)
| op2(e23,op2(e20,e21)) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e21)),op2(e23,op2(e20,e21))) )],[refute_6_226,refute_6_227]) ).
cnf(refute_6_229,plain,
op2(e23,op2(e20,e21)) = op2(e23,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_6_225,refute_6_228]) ).
cnf(refute_6_230,plain,
( op2(e23,op2(e20,e21)) != op2(e23,h1(e11))
| op2(h10(e11),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),op2(e23,op2(e20,e21))) ),[1],$fot(op2(e23,h1(e11)))]]) ).
cnf(refute_6_231,plain,
( op2(h10(e11),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e21)),op2(e23,h1(e11))) )],[refute_6_229,refute_6_230]) ).
cnf(refute_6_232,plain,
( op2(op2(e23,e20),e21) != op2(e23,op2(e20,e21))
| op2(h10(e11),e21) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e23,op2(e20,e21))) )],[refute_6_222,refute_6_231]) ).
cnf(refute_6_233,plain,
op2(h10(e11),e21) = op2(e23,h1(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e21),op2(e23,op2(e20,e21))) )],[refute_6_213,refute_6_232]) ).
cnf(refute_6_234,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(canonicalize,[],[normalize_6_81]) ).
cnf(refute_6_235,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_6_82]) ).
cnf(refute_6_236,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_237,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_6_235,refute_6_236]) ).
cnf(refute_6_238,plain,
op2(op2(e20,e23),e21) = op2(op2(e20,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e21))]]) ).
cnf(refute_6_239,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e21) != op2(op2(e20,e23),e21)
| op2(op2(e20,e23),e21) = op2(h3(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_6_240,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e21) = op2(h3(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) )],[refute_6_238,refute_6_239]) ).
cnf(refute_6_241,plain,
op2(op2(e20,e23),e21) = op2(h3(e11),e21),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_240]) ).
cnf(refute_6_242,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) != op2(h3(e11),e21)
| op2(h3(e11),e21) = op2(e20,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) ),[0],$fot(op2(h3(e11),e21))]]) ).
cnf(refute_6_243,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h3(e11),e21)) )],[refute_6_241,refute_6_242]) ).
cnf(refute_6_244,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_6_245,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != h11(e11)
| op2(e20,op2(e23,e21)) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(h11(e11))]]) ).
cnf(refute_6_246,plain,
( op2(e23,e21) != h11(e11)
| op2(e20,op2(e23,e21)) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_6_244,refute_6_245]) ).
cnf(refute_6_247,plain,
op2(e20,op2(e23,e21)) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_6_16,refute_6_246]) ).
cnf(refute_6_248,plain,
( op2(e20,op2(e23,e21)) != op2(e20,h11(e11))
| op2(h3(e11),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e21),op2(e20,op2(e23,e21))) ),[1],$fot(op2(e20,h11(e11)))]]) ).
cnf(refute_6_249,plain,
( op2(h3(e11),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,h11(e11))) )],[refute_6_247,refute_6_248]) ).
cnf(refute_6_250,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(h3(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(e20,op2(e23,e21))) )],[refute_6_243,refute_6_249]) ).
cnf(refute_6_251,plain,
op2(h3(e11),e21) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) )],[refute_6_234,refute_6_250]) ).
cnf(refute_6_252,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_83]) ).
cnf(refute_6_253,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_6_254,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_255,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_6_253,refute_6_254]) ).
cnf(refute_6_256,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_65,refute_6_255]) ).
cnf(refute_6_257,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_6_258,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_6_256,refute_6_257]) ).
cnf(refute_6_259,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_258]) ).
cnf(refute_6_260,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_261,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_6_259,refute_6_260]) ).
cnf(refute_6_262,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_263,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_264,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_6_262,refute_6_263]) ).
cnf(refute_6_265,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_65,refute_6_264]) ).
cnf(refute_6_266,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_6_267,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_6_265,refute_6_266]) ).
cnf(refute_6_268,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_6_216,refute_6_267]) ).
cnf(refute_6_269,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_6_270,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_6_268,refute_6_269]) ).
cnf(refute_6_271,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_6_261,refute_6_270]) ).
cnf(refute_6_272,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_6_252,refute_6_271]) ).
cnf(refute_6_273,plain,
op2(h3(e11),e21) = op2(h3(e11),e21),
introduced(tautology,[refl,[$fot(op2(h3(e11),e21))]]) ).
cnf(refute_6_274,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e21) != op2(h3(e11),e21)
| op2(h3(e11),e21) = op2(h10(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e21),op2(h3(e11),e21)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_6_275,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e21) = op2(h10(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(h3(e11),e21)) )],[refute_6_273,refute_6_274]) ).
cnf(refute_6_276,plain,
op2(h3(e11),e21) = op2(h10(e11),e21),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_6_272,refute_6_275]) ).
cnf(refute_6_277,plain,
( op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h3(e11),e21) != op2(h10(e11),e21)
| op2(h3(e11),e21) = op2(e23,h1(e11)) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(h3(e11),e21))),bind(Y,$fot(op2(h10(e11),e21))),bind(Z,$fot(op2(e23,h1(e11))))]]) ).
cnf(refute_6_278,plain,
( op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h3(e11),e21) = op2(e23,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(h10(e11),e21)) )],[refute_6_276,refute_6_277]) ).
cnf(refute_6_279,plain,
op2(h3(e11),e21) = op2(e23,h1(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e23,h1(e11))) )],[refute_6_233,refute_6_278]) ).
cnf(refute_6_280,plain,
( op2(h3(e11),e21) != op2(e20,h11(e11))
| op2(h3(e11),e21) != op2(e23,h1(e11))
| op2(e23,h1(e11)) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e21),op2(e20,h11(e11))) ),[0],$fot(op2(e23,h1(e11)))]]) ).
cnf(refute_6_281,plain,
( op2(h3(e11),e21) != op2(e20,h11(e11))
| op2(e23,h1(e11)) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(e23,h1(e11))) )],[refute_6_279,refute_6_280]) ).
cnf(refute_6_282,plain,
op2(e23,h1(e11)) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),e21),op2(e20,h11(e11))) )],[refute_6_251,refute_6_281]) ).
cnf(refute_6_283,plain,
( op2(e23,h1(e11)) != op2(e20,h11(e11))
| op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h10(e11),e21) = op2(e20,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),op2(e23,h1(e11))) ),[1],$fot(op2(e20,h11(e11)))]]) ).
cnf(refute_6_284,plain,
( op2(h10(e11),e21) != op2(e23,h1(e11))
| op2(h10(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h1(e11)),op2(e20,h11(e11))) )],[refute_6_282,refute_6_283]) ).
cnf(refute_6_285,plain,
op2(h10(e11),e21) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e23,h1(e11))) )],[refute_6_233,refute_6_284]) ).
cnf(refute_6_286,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(canonicalize,[],[normalize_6_84]) ).
cnf(refute_6_287,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_6_85]) ).
cnf(refute_6_288,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_6_289,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_6_287,refute_6_288]) ).
cnf(refute_6_290,plain,
op2(op2(e22,e21),e21) = op2(op2(e22,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e21))]]) ).
cnf(refute_6_291,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e21) != op2(op2(e22,e21),e21)
| op2(op2(e22,e21),e21) = op2(h8(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) ),[1,0],$fot(h8(e11))]]) ).
cnf(refute_6_292,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e21) = op2(h8(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) )],[refute_6_290,refute_6_291]) ).
cnf(refute_6_293,plain,
op2(op2(e22,e21),e21) = op2(h8(e11),e21),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_6_289,refute_6_292]) ).
cnf(refute_6_294,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(op2(e22,e21),e21) != op2(h8(e11),e21)
| op2(h8(e11),e21) = op2(e22,op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) ),[0],$fot(op2(h8(e11),e21))]]) ).
cnf(refute_6_295,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(h8(e11),e21)) )],[refute_6_293,refute_6_294]) ).
cnf(refute_6_296,plain,
h1(e10) = op2(e21,e21),
inference(canonicalize,[],[normalize_6_86]) ).
cnf(refute_6_297,plain,
( h1(e10) != op2(e21,e21)
| op2(e21,e21) = h1(e10) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_298,plain,
op2(e21,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e21)) )],[refute_6_296,refute_6_297]) ).
cnf(refute_6_299,plain,
op2(e22,op2(e21,e21)) = op2(e22,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e21)))]]) ).
cnf(refute_6_300,plain,
( op2(e21,e21) != h1(e10)
| op2(e22,op2(e21,e21)) != op2(e22,op2(e21,e21))
| op2(e22,op2(e21,e21)) = op2(e22,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_6_301,plain,
( op2(e21,e21) != h1(e10)
| op2(e22,op2(e21,e21)) = op2(e22,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) )],[refute_6_299,refute_6_300]) ).
cnf(refute_6_302,plain,
op2(e22,op2(e21,e21)) = op2(e22,h1(e10)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_6_298,refute_6_301]) ).
cnf(refute_6_303,plain,
( op2(e22,op2(e21,e21)) != op2(e22,h1(e10))
| op2(h8(e11),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),op2(e22,op2(e21,e21))) ),[1],$fot(op2(e22,h1(e10)))]]) ).
cnf(refute_6_304,plain,
( op2(h8(e11),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,h1(e10))) )],[refute_6_302,refute_6_303]) ).
cnf(refute_6_305,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(h8(e11),e21) = op2(e22,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(e22,op2(e21,e21))) )],[refute_6_295,refute_6_304]) ).
cnf(refute_6_306,plain,
op2(h8(e11),e21) = op2(e22,h1(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) )],[refute_6_286,refute_6_305]) ).
cnf(refute_6_307,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_6_87]) ).
cnf(refute_6_308,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_6_309,plain,
( op2(e21,e21) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_6_298,refute_6_308]) ).
cnf(refute_6_310,plain,
( h1(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_6_307,refute_6_309]) ).
cnf(refute_6_311,plain,
h1(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_6_310,refute_6_155]) ).
cnf(refute_6_312,plain,
op2(e22,h1(e10)) = op2(e22,h1(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h1(e10)))]]) ).
cnf(refute_6_313,plain,
( h1(e10) != e20
| op2(e22,h1(e10)) != op2(e22,h1(e10))
| op2(e22,h1(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h1(e10)),op2(e22,h1(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_314,plain,
( h1(e10) != e20
| op2(e22,h1(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e10)),op2(e22,h1(e10))) )],[refute_6_312,refute_6_313]) ).
cnf(refute_6_315,plain,
op2(e22,h1(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_6_311,refute_6_314]) ).
cnf(refute_6_316,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h1(e10)) != op2(e22,e20)
| op2(e22,h1(e10)) = h6(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(e22,h1(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_6_317,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h1(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e10)),op2(e22,e20)) )],[refute_6_315,refute_6_316]) ).
cnf(refute_6_318,plain,
op2(e22,h1(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_6_201,refute_6_317]) ).
cnf(refute_6_319,plain,
( op2(e22,h1(e10)) != h6(e11)
| op2(h8(e11),e21) != op2(e22,h1(e10))
| op2(h8(e11),e21) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),op2(e22,h1(e10))) ),[1],$fot(h6(e11))]]) ).
cnf(refute_6_320,plain,
( op2(h8(e11),e21) != op2(e22,h1(e10))
| op2(h8(e11),e21) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h1(e10)),h6(e11)) )],[refute_6_318,refute_6_319]) ).
cnf(refute_6_321,plain,
op2(h8(e11),e21) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(e22,h1(e10))) )],[refute_6_306,refute_6_320]) ).
cnf(refute_6_322,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_6_88]) ).
cnf(refute_6_323,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_6_324,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_6_325,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_6_323,refute_6_324]) ).
cnf(refute_6_326,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_6_92,refute_6_325]) ).
cnf(refute_6_327,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_6_328,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_6_326,refute_6_327]) ).
cnf(refute_6_329,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_6_330,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_331,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_6_329,refute_6_330]) ).
cnf(refute_6_332,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_19,refute_6_331]) ).
cnf(refute_6_333,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_6_334,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_6_332,refute_6_333]) ).
cnf(refute_6_335,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_6_289,refute_6_334]) ).
cnf(refute_6_336,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_6_337,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_6_335,refute_6_336]) ).
cnf(refute_6_338,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_6_328,refute_6_337]) ).
cnf(refute_6_339,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_6_322,refute_6_338]) ).
cnf(refute_6_340,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_6_341,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_6_272,refute_6_340]) ).
cnf(refute_6_342,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_6_235,refute_6_341]) ).
cnf(refute_6_343,plain,
( h10(e11) != op2(e20,e23)
| op2(e20,e23) = h10(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_344,plain,
op2(e20,e23) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_6_342,refute_6_343]) ).
cnf(refute_6_345,plain,
op2(h12(e10),e23) = op2(h12(e10),e23),
introduced(tautology,[refl,[$fot(op2(h12(e10),e23))]]) ).
cnf(refute_6_346,plain,
( h12(e10) != e20
| op2(h12(e10),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_347,plain,
( h12(e10) != e20
| op2(h12(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) )],[refute_6_345,refute_6_346]) ).
cnf(refute_6_348,plain,
op2(h12(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_6_156,refute_6_347]) ).
cnf(refute_6_349,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) != op2(e20,e23)
| op2(h12(e10),e23) = h10(e11) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(h12(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_6_350,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e20,e23)) )],[refute_6_348,refute_6_349]) ).
cnf(refute_6_351,plain,
op2(h12(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_6_344,refute_6_350]) ).
cnf(refute_6_352,plain,
( op2(h12(e10),e23) != h10(e11)
| op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_6_353,plain,
( op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h10(e11)) )],[refute_6_351,refute_6_352]) ).
cnf(refute_6_354,plain,
h10(e11) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_6_339,refute_6_353]) ).
cnf(refute_6_355,plain,
( h10(e11) != h8(e11)
| h8(e11) = h10(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_6_356,plain,
h8(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h8(e11)) )],[refute_6_354,refute_6_355]) ).
cnf(refute_6_357,plain,
op2(h8(e11),e21) = op2(h8(e11),e21),
introduced(tautology,[refl,[$fot(op2(h8(e11),e21))]]) ).
cnf(refute_6_358,plain,
( h8(e11) != h10(e11)
| op2(h8(e11),e21) != op2(h8(e11),e21)
| op2(h8(e11),e21) = op2(h10(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),op2(h8(e11),e21)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_6_359,plain,
( h8(e11) != h10(e11)
| op2(h8(e11),e21) = op2(h10(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(h8(e11),e21)) )],[refute_6_357,refute_6_358]) ).
cnf(refute_6_360,plain,
op2(h8(e11),e21) = op2(h10(e11),e21),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_6_356,refute_6_359]) ).
cnf(refute_6_361,plain,
( op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h8(e11),e21) != op2(h10(e11),e21)
| op2(h8(e11),e21) = op2(e20,h11(e11)) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op2(h8(e11),e21))),bind(Y,$fot(op2(h10(e11),e21))),bind(Z,$fot(op2(e20,h11(e11))))]]) ).
cnf(refute_6_362,plain,
( op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h8(e11),e21) = op2(e20,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(h10(e11),e21)) )],[refute_6_360,refute_6_361]) ).
cnf(refute_6_363,plain,
op2(h8(e11),e21) = op2(e20,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e20,h11(e11))) )],[refute_6_285,refute_6_362]) ).
cnf(refute_6_364,plain,
( op2(h8(e11),e21) != h6(e11)
| op2(h8(e11),e21) != op2(e20,h11(e11))
| op2(e20,h11(e11)) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e21),h6(e11)) ),[0],$fot(op2(e20,h11(e11)))]]) ).
cnf(refute_6_365,plain,
( op2(h8(e11),e21) != h6(e11)
| op2(e20,h11(e11)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),op2(e20,h11(e11))) )],[refute_6_363,refute_6_364]) ).
cnf(refute_6_366,plain,
op2(e20,h11(e11)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h8(e11),e21),h6(e11)) )],[refute_6_321,refute_6_365]) ).
cnf(refute_6_367,plain,
( op2(e20,h11(e11)) != h6(e11)
| op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h10(e11),e21) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),op2(e20,h11(e11))) ),[1],$fot(h6(e11))]]) ).
cnf(refute_6_368,plain,
( op2(h10(e11),e21) != op2(e20,h11(e11))
| op2(h10(e11),e21) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h11(e11)),h6(e11)) )],[refute_6_366,refute_6_367]) ).
cnf(refute_6_369,plain,
op2(h10(e11),e21) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),op2(e20,h11(e11))) )],[refute_6_285,refute_6_368]) ).
cnf(refute_6_370,plain,
( h2(e11) != h6(e11)
| h6(e11) = h2(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(h6(e11)))]]) ).
cnf(refute_6_371,plain,
h6(e11) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h6(e11)) )],[refute_6_212,refute_6_370]) ).
cnf(refute_6_372,plain,
( h6(e11) != h2(e11)
| op2(h10(e11),e21) != h6(e11)
| op2(h10(e11),e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),h6(e11)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_6_373,plain,
( op2(h10(e11),e21) != h6(e11)
| op2(h10(e11),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_6_371,refute_6_372]) ).
cnf(refute_6_374,plain,
op2(h10(e11),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),h6(e11)) )],[refute_6_369,refute_6_373]) ).
cnf(refute_6_375,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_6_89]) ).
cnf(refute_6_376,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_377,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_376]) ).
cnf(refute_6_378,plain,
( h3(e11) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_6_375,refute_6_377]) ).
cnf(refute_6_379,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_380,plain,
( op2(e20,e23) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_379]) ).
cnf(refute_6_381,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_6_378,refute_6_380]) ).
cnf(refute_6_382,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_383,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_382]) ).
cnf(refute_6_384,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_6_381,refute_6_383]) ).
cnf(refute_6_385,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_6_386,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_385]) ).
cnf(refute_6_387,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_6_384,refute_6_386]) ).
cnf(refute_6_388,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_6_90]) ).
cnf(refute_6_389,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_6_390,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_389]) ).
cnf(refute_6_391,plain,
( h3(e11) != e20
| op2(e23,e23) != e20
| h3(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_6_392,plain,
( h3(e11) != e20
| h3(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_6_65,refute_6_391]) ).
cnf(refute_6_393,plain,
( h3(e11) != e20
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e23)) )],[refute_6_392,refute_6_390]) ).
cnf(refute_6_394,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_6_393,refute_6_388]) ).
cnf(refute_6_395,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_6_387,refute_6_394]) ).
cnf(refute_6_396,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_6_91]) ).
cnf(refute_6_397,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_6_398,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_397]) ).
cnf(refute_6_399,plain,
( h3(e11) != e21
| op2(e22,e23) != e21
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_6_400,plain,
( h3(e11) != e21
| h3(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_6_19,refute_6_399]) ).
cnf(refute_6_401,plain,
( h3(e11) != e21
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_6_400,refute_6_398]) ).
cnf(refute_6_402,plain,
h3(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_6_401,refute_6_396]) ).
cnf(refute_6_403,plain,
( h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_6_395,refute_6_402]) ).
cnf(refute_6_404,plain,
( h3(e11) != e22
| h3(e11) != h10(e11)
| h10(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(h10(e11))]]) ).
cnf(refute_6_405,plain,
( h3(e11) != e22
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_6_272,refute_6_404]) ).
cnf(refute_6_406,plain,
( h10(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_6_403,refute_6_405]) ).
cnf(refute_6_407,plain,
( h3(e11) != e23
| h3(e11) != h10(e11)
| h10(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(h10(e11))]]) ).
cnf(refute_6_408,plain,
( h3(e11) != e23
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_6_272,refute_6_407]) ).
cnf(refute_6_409,plain,
( h10(e11) = e22
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_6_406,refute_6_408]) ).
cnf(refute_6_410,plain,
( h10(e11) != e23
| op2(h10(e11),e21) != h2(e11)
| op2(e23,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),h2(e11)) ),[0,0],$fot(e23)]]) ).
cnf(refute_6_411,plain,
( op2(h10(e11),e21) != h2(e11)
| h10(e11) = e22
| op2(e23,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_6_409,refute_6_410]) ).
cnf(refute_6_412,plain,
( h10(e11) = e22
| op2(e23,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),h2(e11)) )],[refute_6_374,refute_6_411]) ).
cnf(refute_6_413,plain,
( h10(e11) != e22
| op2(h10(e11),e21) != h2(e11)
| op2(e22,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e21),h2(e11)) ),[0,0],$fot(e22)]]) ).
cnf(refute_6_414,plain,
( op2(h10(e11),e21) != h2(e11)
| h10(e11) = e23
| op2(e22,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),e22) )],[refute_6_409,refute_6_413]) ).
cnf(refute_6_415,plain,
( h10(e11) = e23
| op2(e22,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e21),h2(e11)) )],[refute_6_374,refute_6_414]) ).
cnf(refute_6_416,plain,
( h8(e11) != h10(e11)
| h8(e11) != op2(e22,e21)
| h10(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h8(e11),op2(e22,e21)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_6_417,plain,
( h8(e11) != op2(e22,e21)
| h10(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_6_356,refute_6_416]) ).
cnf(refute_6_418,plain,
h10(e11) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_6_287,refute_6_417]) ).
cnf(refute_6_419,plain,
( h10(e11) != op2(e22,e21)
| op2(e22,e21) = h10(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_6_420,plain,
op2(e22,e21) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e22,e21)) )],[refute_6_418,refute_6_419]) ).
cnf(refute_6_421,plain,
( op2(e22,e21) != h10(e11)
| op2(e22,e21) != h2(e11)
| h10(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),h2(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_6_422,plain,
( op2(e22,e21) != h2(e11)
| h10(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h10(e11)) )],[refute_6_420,refute_6_421]) ).
cnf(refute_6_423,plain,
( h10(e11) = e23
| h10(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h2(e11)) )],[refute_6_415,refute_6_422]) ).
cnf(refute_6_424,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_6_92]) ).
cnf(refute_6_425,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) != h2(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),h2(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_426,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_6_125,refute_6_425]) ).
cnf(refute_6_427,plain,
( h2(e11) != h3(e11)
| op2(e20,e23) != h3(e11)
| h2(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_6_428,plain,
( h2(e11) != h3(e11)
| h2(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_6_237,refute_6_427]) ).
cnf(refute_6_429,plain,
( h2(e11) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e23)) )],[refute_6_428,refute_6_426]) ).
cnf(refute_6_430,plain,
h2(e11) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_6_429,refute_6_424]) ).
cnf(refute_6_431,plain,
( h2(e11) != h10(e11)
| h3(e11) != h10(e11)
| h2(e11) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h3(e11)) ),[1],$fot(h10(e11))]]) ).
cnf(refute_6_432,plain,
( h2(e11) != h10(e11)
| h2(e11) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_6_272,refute_6_431]) ).
cnf(refute_6_433,plain,
h2(e11) != h10(e11),
inference(resolve,[$cnf( $equal(h2(e11),h3(e11)) )],[refute_6_432,refute_6_430]) ).
cnf(refute_6_434,plain,
( h10(e11) != h2(e11)
| h2(e11) = h10(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_6_435,plain,
h10(e11) != h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h10(e11)) )],[refute_6_434,refute_6_433]) ).
cnf(refute_6_436,plain,
h10(e11) = e23,
inference(resolve,[$cnf( $equal(h10(e11),h2(e11)) )],[refute_6_423,refute_6_435]) ).
cnf(refute_6_437,plain,
( h10(e11) != e22
| h10(e11) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h10(e11),e22) ),[0],$fot(e23)]]) ).
cnf(refute_6_438,plain,
( h10(e11) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_6_436,refute_6_437]) ).
cnf(refute_6_439,plain,
( e23 = e22
| op2(e23,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),e22) )],[refute_6_412,refute_6_438]) ).
cnf(refute_6_440,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,e21) != h2(e11)
| h11(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),h2(e11)) ),[0],$fot(h11(e11))]]) ).
cnf(refute_6_441,plain,
( op2(e23,e21) != h2(e11)
| h11(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_6_16,refute_6_440]) ).
cnf(refute_6_442,plain,
( e23 = e22
| h11(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),h2(e11)) )],[refute_6_439,refute_6_441]) ).
cnf(refute_6_443,plain,
e22 != e23,
inference(canonicalize,[],[normalize_6_93]) ).
cnf(refute_6_444,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_6_5:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_6_445,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_6_444,refute_6_443]) ).
cnf(refute_6_446,plain,
h11(e11) = h2(e11),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_6_442,refute_6_445]) ).
cnf(refute_6_447,plain,
( h11(e11) != h2(e11)
| h2(e11) = h11(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h11(e11))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_6_448,plain,
h2(e11) = h11(e11),
inference(resolve,[$cnf( $equal(h11(e11),h2(e11)) )],[refute_6_446,refute_6_447]) ).
cnf(refute_6_449,plain,
( h2(e11) != h11(e11)
| h2(e11) != h6(e11)
| h11(e11) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h6(e11)) ),[0],$fot(h11(e11))]]) ).
cnf(refute_6_450,plain,
( h2(e11) != h6(e11)
| h11(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),h11(e11)) )],[refute_6_448,refute_6_449]) ).
cnf(refute_6_451,plain,
h11(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h2(e11),h6(e11)) )],[refute_6_212,refute_6_450]) ).
cnf(refute_6_452,plain,
( h11(e11) != h6(e11)
| h6(e11) = h11(e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(h11(e11))),bind(Y,$fot(h6(e11)))]]) ).
cnf(refute_6_453,plain,
h6(e11) = h11(e11),
inference(resolve,[$cnf( $equal(h11(e11),h6(e11)) )],[refute_6_451,refute_6_452]) ).
cnf(refute_6_454,plain,
( h6(e11) != e22
| h6(e11) != h11(e11)
| h11(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e22) ),[0],$fot(h11(e11))]]) ).
cnf(refute_6_455,plain,
( h6(e11) != e22
| h11(e11) = e22 ),
inference(resolve,[$cnf( $equal(h6(e11),h11(e11)) )],[refute_6_453,refute_6_454]) ).
cnf(refute_6_456,plain,
( h11(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_6_78,refute_6_455]) ).
cnf(refute_6_457,plain,
( h6(e11) != e23
| h6(e11) != h11(e11)
| h11(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e23) ),[0],$fot(h11(e11))]]) ).
cnf(refute_6_458,plain,
( h6(e11) != e23
| h11(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),h11(e11)) )],[refute_6_453,refute_6_457]) ).
cnf(refute_6_459,plain,
( h11(e11) = e22
| h11(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e23) )],[refute_6_456,refute_6_458]) ).
cnf(refute_6_460,plain,
( h11(e11) != h10(e11)
| h2(e11) != h11(e11)
| h2(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h11(e11)) ),[1],$fot(h10(e11))]]) ).
cnf(refute_6_461,plain,
( h11(e11) != h10(e11)
| h2(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),h11(e11)) )],[refute_6_448,refute_6_460]) ).
cnf(refute_6_462,plain,
( h10(e11) != e23
| h11(e11) != e23
| h11(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h11(e11),h10(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_6_463,plain,
( h11(e11) != e23
| h11(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_6_436,refute_6_462]) ).
cnf(refute_6_464,plain,
( h11(e11) != e23
| h2(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h11(e11),h10(e11)) )],[refute_6_463,refute_6_461]) ).
cnf(refute_6_465,plain,
h11(e11) != e23,
inference(resolve,[$cnf( $equal(h2(e11),h10(e11)) )],[refute_6_464,refute_6_433]) ).
cnf(refute_6_466,plain,
h11(e11) = e22,
inference(resolve,[$cnf( $equal(h11(e11),e23) )],[refute_6_459,refute_6_465]) ).
cnf(refute_6_467,plain,
( h11(e11) != e22
| h12(op1(e11,e12)) != e22
| h12(op1(e11,e12)) = h11(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e12)),h11(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_6_468,plain,
( h12(op1(e11,e12)) != e22
| h12(op1(e11,e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_6_466,refute_6_467]) ).
cnf(refute_6_469,plain,
h12(op1(e11,e12)) != e22,
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h11(e11)) )],[refute_6_468,refute_6_43]) ).
cnf(refute_6_470,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_6_95]) ).
cnf(refute_6_471,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(canonicalize,[],[normalize_6_96]) ).
cnf(refute_6_472,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_99]) ).
cnf(refute_6_473,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_6_103]) ).
cnf(refute_6_474,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_105]) ).
cnf(refute_6_475,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_6_107]) ).
cnf(refute_6_476,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_6_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_6_477,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_6_475,refute_6_476]) ).
cnf(refute_6_478,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_479,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_477,refute_6_478]) ).
cnf(refute_6_480,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_6_479,refute_6_474]) ).
cnf(refute_6_481,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_6_473,refute_6_480]) ).
cnf(refute_6_482,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_6_113]) ).
cnf(refute_6_483,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_6_114]) ).
cnf(refute_6_484,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_6_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_6_485,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_6_483,refute_6_484]) ).
cnf(refute_6_486,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_6_487,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_485,refute_6_486]) ).
cnf(refute_6_488,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_6_482,refute_6_487]) ).
cnf(refute_6_489,plain,
e10 != e13,
inference(canonicalize,[],[normalize_6_116]) ).
cnf(refute_6_490,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_6_488,refute_6_489]) ).
cnf(refute_6_491,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_6_118]) ).
cnf(refute_6_492,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_6_493,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_485,refute_6_492]) ).
cnf(refute_6_494,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_6_491,refute_6_493]) ).
cnf(refute_6_495,plain,
e10 != e12,
inference(canonicalize,[],[normalize_6_119]) ).
cnf(refute_6_496,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_6_494,refute_6_495]) ).
cnf(refute_6_497,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_6_490,refute_6_496]) ).
cnf(refute_6_498,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_6_497,refute_6_481]) ).
cnf(refute_6_499,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_472,refute_6_498]) ).
cnf(refute_6_500,plain,
op1(op1(e11,e11),e13) = op1(op1(e11,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e13))]]) ).
cnf(refute_6_501,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) != op1(op1(e11,e11),e13)
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_502,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) )],[refute_6_500,refute_6_501]) ).
cnf(refute_6_503,plain,
op1(op1(e11,e11),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_499,refute_6_502]) ).
cnf(refute_6_504,plain,
( op1(op1(e11,e11),e13) != op1(e10,e13)
| op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_6_505,plain,
( op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,e13)) )],[refute_6_503,refute_6_504]) ).
cnf(refute_6_506,plain,
op1(e10,e13) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) )],[refute_6_471,refute_6_505]) ).
cnf(refute_6_507,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_6_120]) ).
cnf(refute_6_508,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(canonicalize,[],[normalize_6_121]) ).
cnf(refute_6_509,plain,
op1(op1(e11,e11),e11) = op1(op1(e11,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e11))]]) ).
cnf(refute_6_510,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) != op1(op1(e11,e11),e11)
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_511,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) )],[refute_6_509,refute_6_510]) ).
cnf(refute_6_512,plain,
op1(op1(e11,e11),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_499,refute_6_511]) ).
cnf(refute_6_513,plain,
( op1(op1(e11,e11),e11) != op1(e10,e11)
| op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_6_514,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e10,e11)) )],[refute_6_512,refute_6_513]) ).
cnf(refute_6_515,plain,
op1(e11,op1(e11,e11)) = op1(e11,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_6_516,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_517,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) )],[refute_6_515,refute_6_516]) ).
cnf(refute_6_518,plain,
op1(e11,op1(e11,e11)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_499,refute_6_517]) ).
cnf(refute_6_519,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_6_520,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,e10)) )],[refute_6_518,refute_6_519]) ).
cnf(refute_6_521,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e11))) )],[refute_6_514,refute_6_520]) ).
cnf(refute_6_522,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) )],[refute_6_508,refute_6_521]) ).
cnf(refute_6_523,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_6_524,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_6_522,refute_6_523]) ).
cnf(refute_6_525,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_6_526,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) != op1(op1(e11,e10),e12)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_6_527,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_6_525,refute_6_526]) ).
cnf(refute_6_528,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_6_524,refute_6_527]) ).
cnf(refute_6_529,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_6_530,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_6_528,refute_6_529]) ).
cnf(refute_6_531,plain,
op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_6_470,refute_6_530]) ).
cnf(refute_6_532,plain,
( op1(op1(e11,e10),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_6_533,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,op1(e11,e12))) )],[refute_6_531,refute_6_532]) ).
cnf(refute_6_534,plain,
op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_6_507,refute_6_533]) ).
cnf(refute_6_535,plain,
( op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(op1(e10,op1(e11,e12)))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_6_536,plain,
op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) )],[refute_6_534,refute_6_535]) ).
cnf(refute_6_537,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_6_122]) ).
cnf(refute_6_538,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_6_123]) ).
cnf(refute_6_539,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_6_538,refute_6_498]) ).
cnf(refute_6_540,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_6_541,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_542,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_6_540,refute_6_541]) ).
cnf(refute_6_543,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_539,refute_6_542]) ).
cnf(refute_6_544,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_6_545,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_6_543,refute_6_544]) ).
cnf(refute_6_546,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_6_124]) ).
cnf(refute_6_547,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_6_548,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_549,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_6_547,refute_6_548]) ).
cnf(refute_6_550,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_477,refute_6_549]) ).
cnf(refute_6_551,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_6_552,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_6_550,refute_6_551]) ).
cnf(refute_6_553,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_6_554,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_555,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_6_553,refute_6_554]) ).
cnf(refute_6_556,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_485,refute_6_555]) ).
cnf(refute_6_557,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_6_558,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_6_556,refute_6_557]) ).
cnf(refute_6_559,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_6_552,refute_6_558]) ).
cnf(refute_6_560,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_6_546,refute_6_559]) ).
cnf(refute_6_561,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_6_562,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_6_560,refute_6_561]) ).
cnf(refute_6_563,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_6_564,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_565,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_6_563,refute_6_564]) ).
cnf(refute_6_566,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_539,refute_6_565]) ).
cnf(refute_6_567,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_6_568,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_6_566,refute_6_567]) ).
cnf(refute_6_569,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_6_562,refute_6_568]) ).
cnf(refute_6_570,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_6_571,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_6_569,refute_6_570]) ).
cnf(refute_6_572,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_6_545,refute_6_571]) ).
cnf(refute_6_573,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_6_537,refute_6_572]) ).
cnf(refute_6_574,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_6_575,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_6_573,refute_6_574]) ).
cnf(refute_6_576,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_6_577,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) ),[1,1],$fot(op1(e10,e12))]]) ).
cnf(refute_6_578,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_6_576,refute_6_577]) ).
cnf(refute_6_579,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_6_575,refute_6_578]) ).
cnf(refute_6_580,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op1(e11,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e12)))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_6_581,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_6_579,refute_6_580]) ).
cnf(refute_6_582,plain,
op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,op1(e11,e12))) )],[refute_6_536,refute_6_581]) ).
cnf(refute_6_583,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) != op1(e10,op1(e11,e12))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e10,op1(e11,e12))) ),[0],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_6_584,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e10,op1(e11,e12))) )],[refute_6_582,refute_6_583]) ).
cnf(refute_6_585,plain,
op1(e10,e13) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,op1(e11,e13))) )],[refute_6_506,refute_6_584]) ).
cnf(refute_6_586,plain,
( op1(e10,e13) != op1(e10,op1(e11,e12))
| op1(e10,op1(e11,e12)) = op1(e10,e13) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_6_587,plain,
op1(e10,op1(e11,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,op1(e11,e12))) )],[refute_6_585,refute_6_586]) ).
cnf(refute_6_588,plain,
( op1(e10,op1(e11,e12)) != op1(e10,e13)
| op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_6_589,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,e13)) )],[refute_6_587,refute_6_588]) ).
cnf(refute_6_590,plain,
op1(op1(e10,e11),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_6_470,refute_6_589]) ).
cnf(refute_6_591,plain,
op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11)),
inference(canonicalize,[],[normalize_6_125]) ).
cnf(refute_6_592,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(canonicalize,[],[normalize_6_126]) ).
cnf(refute_6_593,plain,
op1(e12,op1(e11,e11)) = op1(e12,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e11)))]]) ).
cnf(refute_6_594,plain,
( op1(e11,e11) != e10
| op1(e12,op1(e11,e11)) != op1(e12,op1(e11,e11))
| op1(e12,op1(e11,e11)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e12,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_595,plain,
( op1(e11,e11) != e10
| op1(e12,op1(e11,e11)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e12,op1(e11,e11))) )],[refute_6_593,refute_6_594]) ).
cnf(refute_6_596,plain,
op1(e12,op1(e11,e11)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_6_499,refute_6_595]) ).
cnf(refute_6_597,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e11,e11)) != op1(e12,e10)
| op1(e12,op1(e11,e11)) = op1(e11,e13) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op1(e12,op1(e11,e11)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_6_598,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e11,e11)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e12,e10)) )],[refute_6_596,refute_6_597]) ).
cnf(refute_6_599,plain,
op1(e12,op1(e11,e11)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_6_562,refute_6_598]) ).
cnf(refute_6_600,plain,
( op1(e12,op1(e11,e11)) != op1(e11,e13)
| op1(op1(e12,e11),e11) != op1(e12,op1(e11,e11))
| op1(op1(e12,e11),e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e12,op1(e11,e11))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_6_601,plain,
( op1(op1(e12,e11),e11) != op1(e12,op1(e11,e11))
| op1(op1(e12,e11),e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e11,e13)) )],[refute_6_599,refute_6_600]) ).
cnf(refute_6_602,plain,
op1(op1(e12,e11),e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e12,op1(e11,e11))) )],[refute_6_592,refute_6_601]) ).
cnf(refute_6_603,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e12,e11),e11) != op1(e11,e13)
| op1(op1(e12,e11),e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e11,e13)) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_6_604,plain,
( op1(op1(e12,e11),e11) != op1(e11,e13)
| op1(op1(e12,e11),e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_6_575,refute_6_603]) ).
cnf(refute_6_605,plain,
op1(op1(e12,e11),e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e11,e13)) )],[refute_6_602,refute_6_604]) ).
cnf(refute_6_606,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_6_127]) ).
cnf(refute_6_607,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_6_608,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_6_609,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_6_607,refute_6_608]) ).
cnf(refute_6_610,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_477,refute_6_609]) ).
cnf(refute_6_611,plain,
( op1(e12,op1(e12,e13)) != op1(e12,e11)
| op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_6_612,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_6_610,refute_6_611]) ).
cnf(refute_6_613,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_6_606,refute_6_612]) ).
cnf(refute_6_614,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_6_615,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_616,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_6_614,refute_6_615]) ).
cnf(refute_6_617,plain,
op1(op1(e12,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_6_539,refute_6_616]) ).
cnf(refute_6_618,plain,
( op1(op1(e12,e12),e13) != op1(e10,e13)
| op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_6_619,plain,
( op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e10,e13)) )],[refute_6_617,refute_6_618]) ).
cnf(refute_6_620,plain,
op1(e10,e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) )],[refute_6_613,refute_6_619]) ).
cnf(refute_6_621,plain,
( op1(e10,e13) != op1(e12,e11)
| op1(e12,e11) = op1(e10,e13) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_6_622,plain,
op1(e12,e11) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e11)) )],[refute_6_620,refute_6_621]) ).
cnf(refute_6_623,plain,
op1(op1(e12,e11),e11) = op1(op1(e12,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e11))]]) ).
cnf(refute_6_624,plain,
( op1(e12,e11) != op1(e10,e13)
| op1(op1(e12,e11),e11) != op1(op1(e12,e11),e11)
| op1(op1(e12,e11),e11) = op1(op1(e10,e13),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(op1(e12,e11),e11)) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_6_625,plain,
( op1(e12,e11) != op1(e10,e13)
| op1(op1(e12,e11),e11) = op1(op1(e10,e13),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(op1(e12,e11),e11)) )],[refute_6_623,refute_6_624]) ).
cnf(refute_6_626,plain,
op1(op1(e12,e11),e11) = op1(op1(e10,e13),e11),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e13)) )],[refute_6_622,refute_6_625]) ).
cnf(refute_6_627,plain,
( op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e12,e11),e11) != op1(op1(e10,e13),e11)
| op1(op1(e12,e11),e11) = op1(e10,op1(e13,e11)) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op1(op1(e12,e11),e11))),bind(Y,$fot(op1(op1(e10,e13),e11))),bind(Z,$fot(op1(e10,op1(e13,e11))))]]) ).
cnf(refute_6_628,plain,
( op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e12,e11),e11) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(op1(e10,e13),e11)) )],[refute_6_626,refute_6_627]) ).
cnf(refute_6_629,plain,
op1(op1(e12,e11),e11) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,op1(e13,e11))) )],[refute_6_591,refute_6_628]) ).
cnf(refute_6_630,plain,
( op1(op1(e12,e11),e11) != op1(e10,e12)
| op1(op1(e12,e11),e11) != op1(e10,op1(e13,e11))
| op1(e10,op1(e13,e11)) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e10,e12)) ),[0],$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_6_631,plain,
( op1(op1(e12,e11),e11) != op1(e10,e12)
| op1(e10,op1(e13,e11)) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e10,op1(e13,e11))) )],[refute_6_629,refute_6_630]) ).
cnf(refute_6_632,plain,
op1(e10,op1(e13,e11)) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e10,e12)) )],[refute_6_605,refute_6_631]) ).
cnf(refute_6_633,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e12)
| op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e10,e13),e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,op1(e13,e11))) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_6_634,plain,
( op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e10,e13),e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e12)) )],[refute_6_632,refute_6_633]) ).
cnf(refute_6_635,plain,
op1(op1(e10,e13),e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,op1(e13,e11))) )],[refute_6_591,refute_6_634]) ).
cnf(refute_6_636,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_6_129]) ).
cnf(refute_6_637,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_6_130]) ).
cnf(refute_6_638,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_6_639,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_485,refute_6_638]) ).
cnf(refute_6_640,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_6_639,refute_6_637]) ).
cnf(refute_6_641,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_6_636,refute_6_640]) ).
cnf(refute_6_642,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_6_131]) ).
cnf(refute_6_643,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_6_644,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_477,refute_6_643]) ).
cnf(refute_6_645,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_6_644,refute_6_642]) ).
cnf(refute_6_646,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_6_641,refute_6_645]) ).
cnf(refute_6_647,plain,
( op1(e10,e13) != e12
| op1(op1(e10,e13),e11) != op1(e10,e12)
| op1(e12,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,e12)) ),[0,0],$fot(e12)]]) ).
cnf(refute_6_648,plain,
( op1(op1(e10,e13),e11) != op1(e10,e12)
| op1(e10,e13) = e13
| op1(e12,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_6_646,refute_6_647]) ).
cnf(refute_6_649,plain,
( op1(e10,e13) = e13
| op1(e12,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,e12)) )],[refute_6_635,refute_6_648]) ).
cnf(refute_6_650,plain,
( op1(e12,e11) != op1(e10,e12)
| op1(e12,e11) != op1(e10,e13)
| op1(e10,e13) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),op1(e10,e12)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_6_651,plain,
( op1(e12,e11) != op1(e10,e12)
| op1(e10,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e13)) )],[refute_6_622,refute_6_650]) ).
cnf(refute_6_652,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e12)) )],[refute_6_649,refute_6_651]) ).
cnf(refute_6_653,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_6_132]) ).
cnf(refute_6_654,plain,
( op1(e10,e13) != op1(e10,e12)
| op1(e10,e12) = op1(e10,e13) ),
inference(subst,[],[refute_6_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,e12)))]]) ).
cnf(refute_6_655,plain,
op1(e10,e13) != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_6_654,refute_6_653]) ).
cnf(refute_6_656,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e12)) )],[refute_6_652,refute_6_655]) ).
cnf(refute_6_657,plain,
( op1(e10,e13) != e13
| op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(op1(e10,e11),e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_6_658,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(op1(e10,e11),e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_656,refute_6_657]) ).
cnf(refute_6_659,plain,
op1(op1(e10,e11),e12) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) )],[refute_6_590,refute_6_658]) ).
cnf(refute_6_660,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(canonicalize,[],[normalize_6_133]) ).
cnf(refute_6_661,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_6_134]) ).
cnf(refute_6_662,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_6_663,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_6_664,plain,
( op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_6_662,refute_6_663]) ).
cnf(refute_6_665,plain,
op1(e11,op1(e13,e13)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_6_485,refute_6_664]) ).
cnf(refute_6_666,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e10)
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_6_667,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e10)) )],[refute_6_665,refute_6_666]) ).
cnf(refute_6_668,plain,
op1(op1(e11,e13),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_6_661,refute_6_667]) ).
cnf(refute_6_669,plain,
op1(op1(e12,e10),e13) = op1(op1(e12,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e10),e13))]]) ).
cnf(refute_6_670,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) != op1(op1(e12,e10),e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_6_671,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) )],[refute_6_669,refute_6_670]) ).
cnf(refute_6_672,plain,
op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_6_562,refute_6_671]) ).
cnf(refute_6_673,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(op1(e11,e13),e13)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op1(op1(e12,e10),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,e10)))]]) ).
cnf(refute_6_674,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e11,e13),e13)) )],[refute_6_672,refute_6_673]) ).
cnf(refute_6_675,plain,
op1(op1(e12,e10),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_6_668,refute_6_674]) ).
cnf(refute_6_676,plain,
( op1(op1(e12,e10),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e11,e10))]]) ).
cnf(refute_6_677,plain,
( op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e11,e10)) )],[refute_6_675,refute_6_676]) ).
cnf(refute_6_678,plain,
op1(e11,e10) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) )],[refute_6_660,refute_6_677]) ).
cnf(refute_6_679,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_6_680,plain,
( op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_6_524,refute_6_679]) ).
cnf(refute_6_681,plain,
op1(e10,e11) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) )],[refute_6_678,refute_6_680]) ).
cnf(refute_6_682,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_6_683,plain,
( op1(e10,e13) != e13
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e13)]]) ).
cnf(refute_6_684,plain,
( op1(e10,e13) != e13
| op1(e12,op1(e10,e13)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_6_682,refute_6_683]) ).
cnf(refute_6_685,plain,
op1(e12,op1(e10,e13)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_6_656,refute_6_684]) ).
cnf(refute_6_686,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e10,e13)) != op1(e12,e13)
| op1(e12,op1(e10,e13)) = e11 ),
inference(subst,[],[refute_6_25:[bind(X,$fot(op1(e12,op1(e10,e13)))),bind(Y,$fot(op1(e12,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_6_687,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e10,e13)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e13)) )],[refute_6_685,refute_6_686]) ).
cnf(refute_6_688,plain,
op1(e12,op1(e10,e13)) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_6_477,refute_6_687]) ).
cnf(refute_6_689,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e11) ),[0],$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_6_690,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),e11) )],[refute_6_688,refute_6_689]) ).
cnf(refute_6_691,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_6_681,refute_6_690]) ).
cnf(refute_6_692,plain,
op1(op1(e10,e11),e12) = op1(op1(e10,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e11),e12))]]) ).
cnf(refute_6_693,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) != op1(op1(e10,e11),e12)
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_694,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) )],[refute_6_692,refute_6_693]) ).
cnf(refute_6_695,plain,
op1(op1(e10,e11),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_6_691,refute_6_694]) ).
cnf(refute_6_696,plain,
( op1(op1(e10,e11),e12) != e13
| op1(op1(e10,e11),e12) != op1(e11,e12)
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),e13) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_6_697,plain,
( op1(op1(e10,e11),e12) != e13
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e11,e12)) )],[refute_6_695,refute_6_696]) ).
cnf(refute_6_698,plain,
op1(e11,e12) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),e13) )],[refute_6_659,refute_6_697]) ).
cnf(refute_6_699,plain,
h12(op1(e11,e12)) = h12(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e12)))]]) ).
cnf(refute_6_700,plain,
( h12(op1(e11,e12)) != h12(op1(e11,e12))
| op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_6_701,plain,
( op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) )],[refute_6_699,refute_6_700]) ).
cnf(refute_6_702,plain,
h12(op1(e11,e12)) = h12(e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_6_698,refute_6_701]) ).
cnf(refute_6_703,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) != h12(e13)
| h12(op1(e11,e12)) = e22 ),
inference(subst,[],[refute_6_25:[bind(X,$fot(h12(op1(e11,e12)))),bind(Y,$fot(h12(e13))),bind(Z,$fot(e22))]]) ).
cnf(refute_6_704,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(e13)) )],[refute_6_702,refute_6_703]) ).
cnf(refute_6_705,plain,
h12(op1(e11,e12)) = e22,
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_6_107,refute_6_704]) ).
cnf(refute_6_706,plain,
( e22 != e22
| h12(op1(e11,e12)) != e22
| h12(op1(e11,e12)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),e22) ),[1],$fot(e22)]]) ).
cnf(refute_6_707,plain,
( e22 != e22
| h12(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),e22) )],[refute_6_705,refute_6_706]) ).
cnf(refute_6_708,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),e22) )],[refute_6_707,refute_6_469]) ).
cnf(refute_6_709,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_6_710,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_6_709,refute_6_708]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12)) )
=> h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_7_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_7_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_7_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_7_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_7_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_7_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_7_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_7_19]) ).
fof(normalize_7_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_7_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_7_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_7_25]) ).
fof(normalize_7_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_7_25]) ).
fof(normalize_7_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_7_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_7_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_7_31]) ).
fof(normalize_7_34,plain,
( h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_7_0,normalize_7_2,normalize_7_3,normalize_7_5,normalize_7_6,normalize_7_8,normalize_7_9,normalize_7_11,normalize_7_12,normalize_7_14,normalize_7_15,normalize_7_17,normalize_7_18,normalize_7_20,normalize_7_21,normalize_7_23,normalize_7_24,normalize_7_26,normalize_7_27,normalize_7_29,normalize_7_30,normalize_7_32,normalize_7_33]) ).
fof(normalize_7_35,plain,
h12(op1(e11,e13)) != op2(h12(e11),h12(e13)),
inference(conjunct,[],[normalize_7_34]) ).
fof(normalize_7_36,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_7_37,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_7_36]) ).
fof(normalize_7_38,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_7_39,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_40,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_41,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_7_10]) ).
fof(normalize_7_42,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_43,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(conjunct,[],[normalize_7_34]) ).
fof(normalize_7_44,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_7_36]) ).
fof(normalize_7_45,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_46,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_7_47,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_7_46]) ).
fof(normalize_7_48,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_7_38]) ).
fof(normalize_7_49,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_7_50,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_7_49]) ).
fof(normalize_7_51,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_7_52,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_7_51]) ).
fof(normalize_7_53,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_7_52]) ).
fof(normalize_7_54,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_7_55,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_7_54,normalize_7_51]) ).
fof(normalize_7_56,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_7_55]) ).
fof(normalize_7_57,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_7_56]) ).
fof(normalize_7_58,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,[],[ax17]) ).
fof(normalize_7_59,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_7_58]) ).
fof(normalize_7_60,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_7_61,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_7_60]) ).
fof(normalize_7_62,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_7_63,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_7_62,normalize_7_55,normalize_7_51]) ).
fof(normalize_7_64,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_7_65,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_7_63,normalize_7_64]) ).
fof(normalize_7_66,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_7_65]) ).
fof(normalize_7_67,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_7_66]) ).
fof(normalize_7_68,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_7_60]) ).
fof(normalize_7_69,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_7_70,plain,
e10 != e13,
inference(conjunct,[],[normalize_7_69]) ).
fof(normalize_7_71,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_7_64]) ).
fof(normalize_7_72,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_7_71]) ).
fof(normalize_7_73,plain,
e10 != e12,
inference(conjunct,[],[normalize_7_69]) ).
fof(normalize_7_74,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_7_49]) ).
fof(normalize_7_75,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_7_13]) ).
fof(normalize_7_76,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_7_36]) ).
fof(normalize_7_77,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_7_46]) ).
fof(normalize_7_78,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_7_4]) ).
fof(normalize_7_79,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_7_80,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_7_79]) ).
fof(normalize_7_81,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_7_80]) ).
fof(normalize_7_82,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_7_83,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_7_82,normalize_7_79]) ).
fof(normalize_7_84,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_7_83]) ).
fof(normalize_7_85,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_7_84]) ).
fof(normalize_7_86,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,[],[ax18]) ).
fof(normalize_7_87,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_7_86]) ).
fof(normalize_7_88,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_7_89,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_7_88,normalize_7_83,normalize_7_79]) ).
fof(normalize_7_90,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_7_91,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_7_89,normalize_7_90]) ).
fof(normalize_7_92,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_7_91]) ).
fof(normalize_7_93,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_7_92]) ).
fof(normalize_7_94,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_7_95,plain,
e20 != e23,
inference(conjunct,[],[normalize_7_94]) ).
fof(normalize_7_96,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_7_90]) ).
fof(normalize_7_97,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_7_96]) ).
fof(normalize_7_98,plain,
e20 != e22,
inference(conjunct,[],[normalize_7_94]) ).
cnf(refute_7_0,plain,
h12(op1(e11,e13)) != op2(h12(e11),h12(e13)),
inference(canonicalize,[],[normalize_7_35]) ).
cnf(refute_7_1,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_2,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_7_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_7_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_7_3,refute_7_4]) ).
cnf(refute_7_6,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_7_7,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_7_2,refute_7_6]) ).
cnf(refute_7_8,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_7_9,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(h12(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(h12(e11))]]) ).
cnf(refute_7_10,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e22) = op2(h12(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_7_8,refute_7_9]) ).
cnf(refute_7_11,plain,
op2(op2(e23,e22),e22) = op2(h12(e11),e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_7_7,refute_7_10]) ).
cnf(refute_7_12,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(op2(e23,e22),e22) != op2(h12(e11),e22)
| op2(h12(e11),e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(h12(e11),e22))]]) ).
cnf(refute_7_13,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(h12(e11),e22)) )],[refute_7_11,refute_7_12]) ).
cnf(refute_7_14,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_15,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_16,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_17,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_7_15,refute_7_16]) ).
cnf(refute_7_18,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_7_19,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_7_17,refute_7_18]) ).
cnf(refute_7_20,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_7_14,refute_7_19]) ).
cnf(refute_7_21,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_7_22,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_7_20,refute_7_21]) ).
cnf(refute_7_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_5,refute_7_23]) ).
cnf(refute_7_25,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_7_26,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_7_17,refute_7_25]) ).
cnf(refute_7_27,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_7_22,refute_7_26]) ).
cnf(refute_7_28,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_7_29,plain,
( op2(e22,e22) != h12(e10)
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_7_30,plain,
( op2(e22,e22) != h12(e10)
| op2(e23,op2(e22,e22)) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_28,refute_7_29]) ).
cnf(refute_7_31,plain,
op2(e23,op2(e22,e22)) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_7_27,refute_7_30]) ).
cnf(refute_7_32,plain,
( op2(e23,op2(e22,e22)) != op2(e23,h12(e10))
| op2(h12(e11),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e22),op2(e23,op2(e22,e22))) ),[1],$fot(op2(e23,h12(e10)))]]) ).
cnf(refute_7_33,plain,
( op2(h12(e11),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,h12(e10))) )],[refute_7_31,refute_7_32]) ).
cnf(refute_7_34,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e22),op2(e23,op2(e22,e22))) )],[refute_7_13,refute_7_33]) ).
cnf(refute_7_35,plain,
op2(h12(e11),e22) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_7_1,refute_7_34]) ).
cnf(refute_7_36,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_7_42]) ).
cnf(refute_7_37,plain,
op2(h12(e11),h12(e13)) = op2(h12(e11),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e13)))]]) ).
cnf(refute_7_38,plain,
( h12(e13) != e22
| op2(h12(e11),h12(e13)) != op2(h12(e11),h12(e13))
| op2(h12(e11),h12(e13)) = op2(h12(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(h12(e11),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_7_39,plain,
( h12(e13) != e22
| op2(h12(e11),h12(e13)) = op2(h12(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(h12(e11),h12(e13))) )],[refute_7_37,refute_7_38]) ).
cnf(refute_7_40,plain,
op2(h12(e11),h12(e13)) = op2(h12(e11),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_7_36,refute_7_39]) ).
cnf(refute_7_41,plain,
( op2(h12(e11),e22) != op2(e23,h12(e10))
| op2(h12(e11),h12(e13)) != op2(h12(e11),e22)
| op2(h12(e11),h12(e13)) = op2(e23,h12(e10)) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(h12(e11),h12(e13)))),bind(Y,$fot(op2(h12(e11),e22))),bind(Z,$fot(op2(e23,h12(e10))))]]) ).
cnf(refute_7_42,plain,
( op2(h12(e11),e22) != op2(e23,h12(e10))
| op2(h12(e11),h12(e13)) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(h12(e11),e22)) )],[refute_7_40,refute_7_41]) ).
cnf(refute_7_43,plain,
op2(h12(e11),h12(e13)) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e11),e22),op2(e23,h12(e10))) )],[refute_7_35,refute_7_42]) ).
cnf(refute_7_44,plain,
( h12(op1(e11,e13)) != op2(e23,h12(e10))
| op2(h12(e11),h12(e13)) != op2(e23,h12(e10))
| h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e13)),op2(h12(e11),h12(e13))) ),[1],$fot(op2(e23,h12(e10)))]]) ).
cnf(refute_7_45,plain,
( h12(op1(e11,e13)) != op2(e23,h12(e10))
| h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(e23,h12(e10))) )],[refute_7_43,refute_7_44]) ).
cnf(refute_7_46,plain,
h12(op1(e11,e13)) != op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),op2(h12(e11),h12(e13))) )],[refute_7_45,refute_7_0]) ).
cnf(refute_7_47,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(canonicalize,[],[normalize_7_43]) ).
cnf(refute_7_48,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_49,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_7_50,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_7_51,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_7_49,refute_7_50]) ).
cnf(refute_7_52,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_7_27,refute_7_51]) ).
cnf(refute_7_53,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_7_54,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_7_52,refute_7_53]) ).
cnf(refute_7_55,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_7_45]) ).
cnf(refute_7_56,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_7_57,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_7_55,refute_7_56]) ).
cnf(refute_7_58,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_7_47]) ).
cnf(refute_7_59,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_7_60,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_7_58,refute_7_59]) ).
cnf(refute_7_61,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_7_62,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_63,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_7_61,refute_7_62]) ).
cnf(refute_7_64,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_7_60,refute_7_63]) ).
cnf(refute_7_65,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_7_66,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_7_64,refute_7_65]) ).
cnf(refute_7_67,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_7_57,refute_7_66]) ).
cnf(refute_7_68,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_7_69,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_7_67,refute_7_68]) ).
cnf(refute_7_70,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_7_54,refute_7_69]) ).
cnf(refute_7_71,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_7_48,refute_7_70]) ).
cnf(refute_7_72,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_7_48]) ).
cnf(refute_7_73,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_7_74,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_75,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) )],[refute_7_73,refute_7_74]) ).
cnf(refute_7_76,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_7_72,refute_7_75]) ).
cnf(refute_7_77,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) != op2(h12(e10),e23)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(h12(e10),h12(e12)))),bind(Y,$fot(op2(h12(e10),e23))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_7_78,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),e23)) )],[refute_7_76,refute_7_77]) ).
cnf(refute_7_79,plain,
op2(h12(e10),h12(e12)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_7_71,refute_7_78]) ).
cnf(refute_7_80,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) != h8(e11)
| h12(op1(e10,e12)) = h8(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),h8(e11)) ),[0],$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_7_81,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),h8(e11)) )],[refute_7_79,refute_7_80]) ).
cnf(refute_7_82,plain,
h12(op1(e10,e12)) = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),op2(h12(e10),h12(e12))) )],[refute_7_47,refute_7_81]) ).
cnf(refute_7_83,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_7_50]) ).
cnf(refute_7_84,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_7_53]) ).
cnf(refute_7_85,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_7_57]) ).
cnf(refute_7_86,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_7_59]) ).
cnf(refute_7_87,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_7_61]) ).
cnf(refute_7_88,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_7_89,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_7_87,refute_7_88]) ).
cnf(refute_7_90,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_7_91,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_7_89,refute_7_90]) ).
cnf(refute_7_92,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_7_91,refute_7_86]) ).
cnf(refute_7_93,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_7_85,refute_7_92]) ).
cnf(refute_7_94,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_7_67]) ).
cnf(refute_7_95,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_7_68]) ).
cnf(refute_7_96,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_7_97,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_7_95,refute_7_96]) ).
cnf(refute_7_98,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_7_99,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_97,refute_7_98]) ).
cnf(refute_7_100,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_7_94,refute_7_99]) ).
cnf(refute_7_101,plain,
e10 != e13,
inference(canonicalize,[],[normalize_7_70]) ).
cnf(refute_7_102,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_7_100,refute_7_101]) ).
cnf(refute_7_103,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_7_72]) ).
cnf(refute_7_104,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_7_105,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_97,refute_7_104]) ).
cnf(refute_7_106,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_7_103,refute_7_105]) ).
cnf(refute_7_107,plain,
e10 != e12,
inference(canonicalize,[],[normalize_7_73]) ).
cnf(refute_7_108,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_7_106,refute_7_107]) ).
cnf(refute_7_109,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_7_102,refute_7_108]) ).
cnf(refute_7_110,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_7_109,refute_7_93]) ).
cnf(refute_7_111,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_7_84,refute_7_110]) ).
cnf(refute_7_112,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_7_113,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_7_114,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_7_112,refute_7_113]) ).
cnf(refute_7_115,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_7_111,refute_7_114]) ).
cnf(refute_7_116,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_7_117,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_7_115,refute_7_116]) ).
cnf(refute_7_118,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_7_74]) ).
cnf(refute_7_119,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_7_120,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_7_121,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_7_119,refute_7_120]) ).
cnf(refute_7_122,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_7_89,refute_7_121]) ).
cnf(refute_7_123,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_7_124,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_7_122,refute_7_123]) ).
cnf(refute_7_125,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_7_126,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_7_127,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_7_125,refute_7_126]) ).
cnf(refute_7_128,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_7_97,refute_7_127]) ).
cnf(refute_7_129,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_7_130,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_7_128,refute_7_129]) ).
cnf(refute_7_131,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_7_124,refute_7_130]) ).
cnf(refute_7_132,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_7_118,refute_7_131]) ).
cnf(refute_7_133,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_7_134,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_7_132,refute_7_133]) ).
cnf(refute_7_135,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_7_136,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_7_137,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_7_135,refute_7_136]) ).
cnf(refute_7_138,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_7_111,refute_7_137]) ).
cnf(refute_7_139,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_7_140,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_7_138,refute_7_139]) ).
cnf(refute_7_141,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_7_134,refute_7_140]) ).
cnf(refute_7_142,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_7_143,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_7_141,refute_7_142]) ).
cnf(refute_7_144,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_7_117,refute_7_143]) ).
cnf(refute_7_145,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_7_83,refute_7_144]) ).
cnf(refute_7_146,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_7_147,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_7_145,refute_7_146]) ).
cnf(refute_7_148,plain,
h12(op1(e11,e13)) = h12(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e13)))]]) ).
cnf(refute_7_149,plain,
( h12(op1(e11,e13)) != h12(op1(e11,e13))
| op1(e11,e13) != op1(e10,e12)
| h12(op1(e11,e13)) = h12(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e13)),h12(op1(e11,e13))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_7_150,plain,
( op1(e11,e13) != op1(e10,e12)
| h12(op1(e11,e13)) = h12(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),h12(op1(e11,e13))) )],[refute_7_148,refute_7_149]) ).
cnf(refute_7_151,plain,
h12(op1(e11,e13)) = h12(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_7_147,refute_7_150]) ).
cnf(refute_7_152,plain,
( h12(op1(e10,e12)) != h8(e11)
| h12(op1(e11,e13)) != h12(op1(e10,e12))
| h12(op1(e11,e13)) = h8(e11) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(h12(op1(e11,e13)))),bind(Y,$fot(h12(op1(e10,e12)))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_7_153,plain,
( h12(op1(e10,e12)) != h8(e11)
| h12(op1(e11,e13)) = h8(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),h12(op1(e10,e12))) )],[refute_7_151,refute_7_152]) ).
cnf(refute_7_154,plain,
h12(op1(e11,e13)) = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) )],[refute_7_82,refute_7_153]) ).
cnf(refute_7_155,plain,
( h12(op1(e11,e13)) != h8(e11)
| h8(e11) != op2(e23,h12(e10))
| h12(op1(e11,e13)) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e13)),op2(e23,h12(e10))) ),[0],$fot(h8(e11))]]) ).
cnf(refute_7_156,plain,
( h8(e11) != op2(e23,h12(e10))
| h12(op1(e11,e13)) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),h8(e11)) )],[refute_7_154,refute_7_155]) ).
cnf(refute_7_157,plain,
h8(e11) != op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),op2(e23,h12(e10))) )],[refute_7_156,refute_7_46]) ).
cnf(refute_7_158,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_7_75]) ).
cnf(refute_7_159,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_7_76]) ).
cnf(refute_7_160,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_7_161,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_7_158,refute_7_160]) ).
cnf(refute_7_162,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_7_77]) ).
cnf(refute_7_163,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_164,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_7_162,refute_7_163]) ).
cnf(refute_7_165,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_7_166,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_167,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_7_165,refute_7_166]) ).
cnf(refute_7_168,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_164,refute_7_167]) ).
cnf(refute_7_169,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_7_170,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_7_168,refute_7_169]) ).
cnf(refute_7_171,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_7_161,refute_7_170]) ).
cnf(refute_7_172,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_7_173,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_7_171,refute_7_172]) ).
cnf(refute_7_174,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_7_78]) ).
cnf(refute_7_175,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_7_176,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_7_174,refute_7_175]) ).
cnf(refute_7_177,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_178,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_179,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_7_177,refute_7_178]) ).
cnf(refute_7_180,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_164,refute_7_179]) ).
cnf(refute_7_181,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_7_182,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_7_180,refute_7_181]) ).
cnf(refute_7_183,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_7_176,refute_7_182]) ).
cnf(refute_7_184,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_7_185,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_7_183,refute_7_184]) ).
cnf(refute_7_186,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_7_173,refute_7_185]) ).
cnf(refute_7_187,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_7_159,refute_7_186]) ).
cnf(refute_7_188,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_7_189,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_7_187,refute_7_188]) ).
cnf(refute_7_190,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_7_158,refute_7_189]) ).
cnf(refute_7_191,plain,
( h10(e11) != op2(e20,e23)
| op2(e20,e23) = h10(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_7_192,plain,
op2(e20,e23) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_7_190,refute_7_191]) ).
cnf(refute_7_193,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_7_81]) ).
cnf(refute_7_194,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_7_195,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_7_27,refute_7_194]) ).
cnf(refute_7_196,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_7_193,refute_7_195]) ).
cnf(refute_7_197,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_7_85]) ).
cnf(refute_7_198,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_7_199,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_7_27,refute_7_198]) ).
cnf(refute_7_200,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_7_197,refute_7_199]) ).
cnf(refute_7_201,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_7_87]) ).
cnf(refute_7_202,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_7_203,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_7_27,refute_7_202]) ).
cnf(refute_7_204,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_7_205,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_7_60,refute_7_204]) ).
cnf(refute_7_206,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_7_205,refute_7_203]) ).
cnf(refute_7_207,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_7_206,refute_7_201]) ).
cnf(refute_7_208,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_7_200,refute_7_207]) ).
cnf(refute_7_209,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_7_93]) ).
cnf(refute_7_210,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_7_211,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_164,refute_7_210]) ).
cnf(refute_7_212,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_7_209,refute_7_211]) ).
cnf(refute_7_213,plain,
e20 != e23,
inference(canonicalize,[],[normalize_7_95]) ).
cnf(refute_7_214,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_7_212,refute_7_213]) ).
cnf(refute_7_215,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_7_97]) ).
cnf(refute_7_216,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_7_217,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_7_164,refute_7_216]) ).
cnf(refute_7_218,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_7_215,refute_7_217]) ).
cnf(refute_7_219,plain,
e20 != e22,
inference(canonicalize,[],[normalize_7_98]) ).
cnf(refute_7_220,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_7_218,refute_7_219]) ).
cnf(refute_7_221,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_7_214,refute_7_220]) ).
cnf(refute_7_222,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_7_221,refute_7_208]) ).
cnf(refute_7_223,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_7_196,refute_7_222]) ).
cnf(refute_7_224,plain,
op2(h12(e10),e23) = op2(h12(e10),e23),
introduced(tautology,[refl,[$fot(op2(h12(e10),e23))]]) ).
cnf(refute_7_225,plain,
( h12(e10) != e20
| op2(h12(e10),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_226,plain,
( h12(e10) != e20
| op2(h12(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) )],[refute_7_224,refute_7_225]) ).
cnf(refute_7_227,plain,
op2(h12(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_7_223,refute_7_226]) ).
cnf(refute_7_228,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) != op2(e20,e23)
| op2(h12(e10),e23) = h10(e11) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(h12(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_7_229,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e20,e23)) )],[refute_7_227,refute_7_228]) ).
cnf(refute_7_230,plain,
op2(h12(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_7_192,refute_7_229]) ).
cnf(refute_7_231,plain,
( op2(h12(e10),e23) != h10(e11)
| op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_7_232,plain,
( op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h10(e11)) )],[refute_7_230,refute_7_231]) ).
cnf(refute_7_233,plain,
h10(e11) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_7_71,refute_7_232]) ).
cnf(refute_7_234,plain,
( h10(e11) != h8(e11)
| h8(e11) = h10(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_7_235,plain,
h8(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h8(e11)) )],[refute_7_233,refute_7_234]) ).
cnf(refute_7_236,plain,
( h10(e11) != op2(e23,h12(e10))
| h8(e11) != h10(e11)
| h8(e11) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h8(e11),h10(e11)) ),[1],$fot(op2(e23,h12(e10)))]]) ).
cnf(refute_7_237,plain,
( h10(e11) != op2(e23,h12(e10))
| h8(e11) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_7_235,refute_7_236]) ).
cnf(refute_7_238,plain,
op2(e23,h12(e10)) = op2(e23,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h12(e10)))]]) ).
cnf(refute_7_239,plain,
( h12(e10) != e20
| op2(e23,h12(e10)) != op2(e23,h12(e10))
| op2(e23,h12(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h12(e10)),op2(e23,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_240,plain,
( h12(e10) != e20
| op2(e23,h12(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h12(e10)),op2(e23,h12(e10))) )],[refute_7_238,refute_7_239]) ).
cnf(refute_7_241,plain,
op2(e23,h12(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_7_223,refute_7_240]) ).
cnf(refute_7_242,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,h12(e10)) != op2(e23,e20)
| op2(e23,h12(e10)) = h10(e11) ),
inference(subst,[],[refute_7_24:[bind(X,$fot(op2(e23,h12(e10)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_7_243,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,h12(e10)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,h12(e10)),op2(e23,e20)) )],[refute_7_241,refute_7_242]) ).
cnf(refute_7_244,plain,
op2(e23,h12(e10)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_7_176,refute_7_243]) ).
cnf(refute_7_245,plain,
( h10(e11) != h10(e11)
| op2(e23,h12(e10)) != h10(e11)
| h10(e11) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),op2(e23,h12(e10))) ),[1],$fot(h10(e11))]]) ).
cnf(refute_7_246,plain,
( h10(e11) != h10(e11)
| h10(e11) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,h12(e10)),h10(e11)) )],[refute_7_244,refute_7_245]) ).
cnf(refute_7_247,plain,
( h10(e11) != h10(e11)
| h8(e11) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,h12(e10))) )],[refute_7_246,refute_7_237]) ).
cnf(refute_7_248,plain,
h10(e11) != h10(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e23,h12(e10))) )],[refute_7_247,refute_7_157]) ).
cnf(refute_7_249,plain,
h10(e11) = h10(e11),
introduced(tautology,[refl,[$fot(h10(e11))]]) ).
cnf(refute_7_250,plain,
$false,
inference(resolve,[$cnf( $equal(h10(e11),h10(e11)) )],[refute_7_249,refute_7_248]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13)) )
=> h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_8_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_8_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_8_4]) ).
fof(normalize_8_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_8_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_8_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_8_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_8_13]) ).
fof(normalize_8_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_8_13]) ).
fof(normalize_8_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_8_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_8_16]) ).
fof(normalize_8_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_8_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_8_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_8_22]) ).
fof(normalize_8_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_8_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_8_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_8_28]) ).
fof(normalize_8_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_8_28]) ).
fof(normalize_8_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_8_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_34,plain,
( h12(op1(e12,e10)) != op2(h12(e12),h12(e10))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_8_0,normalize_8_2,normalize_8_3,normalize_8_5,normalize_8_6,normalize_8_8,normalize_8_9,normalize_8_11,normalize_8_12,normalize_8_14,normalize_8_15,normalize_8_17,normalize_8_18,normalize_8_20,normalize_8_21,normalize_8_23,normalize_8_24,normalize_8_26,normalize_8_27,normalize_8_29,normalize_8_30,normalize_8_32,normalize_8_33]) ).
fof(normalize_8_35,plain,
h12(op1(e12,e10)) != op2(h12(e12),h12(e10)),
inference(conjunct,[],[normalize_8_34]) ).
fof(normalize_8_36,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_8_37,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_8_36]) ).
fof(normalize_8_38,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_8_39,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_8_38]) ).
fof(normalize_8_40,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_8_38]) ).
fof(normalize_8_41,plain,
h12(op1(e11,e13)) = op2(h12(e11),h12(e13)),
inference(conjunct,[],[normalize_8_34]) ).
fof(normalize_8_42,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_8_43,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_8_42]) ).
fof(normalize_8_44,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_8_45,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_8_44]) ).
fof(normalize_8_46,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_8_44]) ).
fof(normalize_8_47,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_8_10]) ).
fof(normalize_8_48,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_8_44]) ).
fof(normalize_8_49,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_8_44]) ).
cnf(refute_8_0,plain,
h12(op1(e12,e10)) != op2(h12(e12),h12(e10)),
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_1,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_2,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_3,refute_8_4]) ).
cnf(refute_8_6,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_8_7,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_8_2,refute_8_6]) ).
cnf(refute_8_8,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_8_9,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_10,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_8_8,refute_8_9]) ).
cnf(refute_8_11,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_7,refute_8_10]) ).
cnf(refute_8_12,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_8_13,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_8_11,refute_8_12]) ).
cnf(refute_8_14,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_15,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_8_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_16,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_8_14,refute_8_15]) ).
cnf(refute_8_17,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_8_18,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_8_19,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_8_17,refute_8_18]) ).
cnf(refute_8_20,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_8_16,refute_8_19]) ).
cnf(refute_8_21,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_8_22,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_8_20,refute_8_21]) ).
cnf(refute_8_23,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_8_13,refute_8_22]) ).
cnf(refute_8_24,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_8_1,refute_8_23]) ).
cnf(refute_8_25,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_8_26,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_8_24,refute_8_25]) ).
cnf(refute_8_27,plain,
h12(op1(e12,e10)) = h12(op1(e12,e10)),
introduced(tautology,[refl,[$fot(h12(op1(e12,e10)))]]) ).
cnf(refute_8_28,plain,
( h12(op1(e12,e10)) != h12(op1(e12,e10))
| op1(e12,e10) != op1(e11,e13)
| h12(op1(e12,e10)) = h12(op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e10)),h12(op1(e12,e10))) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_8_29,plain,
( op1(e12,e10) != op1(e11,e13)
| h12(op1(e12,e10)) = h12(op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e10)),h12(op1(e12,e10))) )],[refute_8_27,refute_8_28]) ).
cnf(refute_8_30,plain,
h12(op1(e12,e10)) = h12(op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_8_26,refute_8_29]) ).
cnf(refute_8_31,plain,
( h12(op1(e11,e13)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e10)) != h12(op1(e11,e13))
| h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e10)),h12(op1(e11,e13))) ),[1],$fot(op2(h12(e12),h12(e10)))]]) ).
cnf(refute_8_32,plain,
( h12(op1(e11,e13)) != op2(h12(e12),h12(e10))
| h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e10)),h12(op1(e11,e13))) )],[refute_8_30,refute_8_31]) ).
cnf(refute_8_33,plain,
h12(op1(e11,e13)) = op2(h12(e11),h12(e13)),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_34,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_35,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_8_45]) ).
cnf(refute_8_36,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_8_37,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_8_35,refute_8_36]) ).
cnf(refute_8_38,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_8_39,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(h12(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(h12(e11))]]) ).
cnf(refute_8_40,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e22) = op2(h12(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_8_38,refute_8_39]) ).
cnf(refute_8_41,plain,
op2(op2(e23,e22),e22) = op2(h12(e11),e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_8_37,refute_8_40]) ).
cnf(refute_8_42,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(op2(e23,e22),e22) != op2(h12(e11),e22)
| op2(h12(e11),e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(h12(e11),e22))]]) ).
cnf(refute_8_43,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(h12(e11),e22)) )],[refute_8_41,refute_8_42]) ).
cnf(refute_8_44,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_8_46]) ).
cnf(refute_8_45,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_8_47]) ).
cnf(refute_8_46,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_8_47,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_8_45,refute_8_46]) ).
cnf(refute_8_48,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_8_49,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_8_47,refute_8_48]) ).
cnf(refute_8_50,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_8_44,refute_8_49]) ).
cnf(refute_8_51,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_8_52,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_8_50,refute_8_51]) ).
cnf(refute_8_53,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_54,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_5,refute_8_53]) ).
cnf(refute_8_55,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_8_54:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_8_56,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_8_47,refute_8_55]) ).
cnf(refute_8_57,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_8_52,refute_8_56]) ).
cnf(refute_8_58,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_8_59,plain,
( op2(e22,e22) != h12(e10)
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_8_60,plain,
( op2(e22,e22) != h12(e10)
| op2(e23,op2(e22,e22)) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_58,refute_8_59]) ).
cnf(refute_8_61,plain,
op2(e23,op2(e22,e22)) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_8_57,refute_8_60]) ).
cnf(refute_8_62,plain,
( op2(e23,op2(e22,e22)) != op2(e23,h12(e10))
| op2(h12(e11),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e22),op2(e23,op2(e22,e22))) ),[1],$fot(op2(e23,h12(e10)))]]) ).
cnf(refute_8_63,plain,
( op2(h12(e11),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,h12(e10))) )],[refute_8_61,refute_8_62]) ).
cnf(refute_8_64,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(h12(e11),e22) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e22),op2(e23,op2(e22,e22))) )],[refute_8_43,refute_8_63]) ).
cnf(refute_8_65,plain,
op2(h12(e11),e22) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_8_34,refute_8_64]) ).
cnf(refute_8_66,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_8_48]) ).
cnf(refute_8_67,plain,
op2(h12(e11),h12(e13)) = op2(h12(e11),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e13)))]]) ).
cnf(refute_8_68,plain,
( h12(e13) != e22
| op2(h12(e11),h12(e13)) != op2(h12(e11),h12(e13))
| op2(h12(e11),h12(e13)) = op2(h12(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(h12(e11),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_8_69,plain,
( h12(e13) != e22
| op2(h12(e11),h12(e13)) = op2(h12(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(h12(e11),h12(e13))) )],[refute_8_67,refute_8_68]) ).
cnf(refute_8_70,plain,
op2(h12(e11),h12(e13)) = op2(h12(e11),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_8_66,refute_8_69]) ).
cnf(refute_8_71,plain,
( op2(h12(e11),e22) != op2(e23,h12(e10))
| op2(h12(e11),h12(e13)) != op2(h12(e11),e22)
| op2(h12(e11),h12(e13)) = op2(e23,h12(e10)) ),
inference(subst,[],[refute_8_54:[bind(X,$fot(op2(h12(e11),h12(e13)))),bind(Y,$fot(op2(h12(e11),e22))),bind(Z,$fot(op2(e23,h12(e10))))]]) ).
cnf(refute_8_72,plain,
( op2(h12(e11),e22) != op2(e23,h12(e10))
| op2(h12(e11),h12(e13)) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(h12(e11),e22)) )],[refute_8_70,refute_8_71]) ).
cnf(refute_8_73,plain,
op2(h12(e11),h12(e13)) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e11),e22),op2(e23,h12(e10))) )],[refute_8_65,refute_8_72]) ).
cnf(refute_8_74,plain,
( h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| op2(h12(e11),h12(e13)) != op2(e23,h12(e10))
| h12(op1(e11,e13)) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e13)),op2(e23,h12(e10))) ),[0],$fot(op2(h12(e11),h12(e13)))]]) ).
cnf(refute_8_75,plain,
( h12(op1(e11,e13)) != op2(h12(e11),h12(e13))
| h12(op1(e11,e13)) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e13)),op2(e23,h12(e10))) )],[refute_8_73,refute_8_74]) ).
cnf(refute_8_76,plain,
h12(op1(e11,e13)) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),op2(h12(e11),h12(e13))) )],[refute_8_33,refute_8_75]) ).
cnf(refute_8_77,plain,
( h12(op1(e11,e13)) != op2(e23,h12(e10))
| op2(e23,h12(e10)) = h12(op1(e11,e13)) ),
inference(subst,[],[refute_8_5:[bind(X,$fot(h12(op1(e11,e13)))),bind(Y,$fot(op2(e23,h12(e10))))]]) ).
cnf(refute_8_78,plain,
op2(e23,h12(e10)) = h12(op1(e11,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),op2(e23,h12(e10))) )],[refute_8_76,refute_8_77]) ).
cnf(refute_8_79,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_80,plain,
op2(h12(e12),h12(e10)) = op2(h12(e12),h12(e10)),
introduced(tautology,[refl,[$fot(op2(h12(e12),h12(e10)))]]) ).
cnf(refute_8_81,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e10)) != op2(h12(e12),h12(e10))
| op2(h12(e12),h12(e10)) = op2(e23,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e12),h12(e10)),op2(h12(e12),h12(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_82,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e10)) = op2(e23,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e10)),op2(h12(e12),h12(e10))) )],[refute_8_80,refute_8_81]) ).
cnf(refute_8_83,plain,
op2(h12(e12),h12(e10)) = op2(e23,h12(e10)),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_8_79,refute_8_82]) ).
cnf(refute_8_84,plain,
( op2(e23,h12(e10)) != h12(op1(e11,e13))
| op2(h12(e12),h12(e10)) != op2(e23,h12(e10))
| op2(h12(e12),h12(e10)) = h12(op1(e11,e13)) ),
inference(subst,[],[refute_8_54:[bind(X,$fot(op2(h12(e12),h12(e10)))),bind(Y,$fot(op2(e23,h12(e10)))),bind(Z,$fot(h12(op1(e11,e13))))]]) ).
cnf(refute_8_85,plain,
( op2(e23,h12(e10)) != h12(op1(e11,e13))
| op2(h12(e12),h12(e10)) = h12(op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e10)),op2(e23,h12(e10))) )],[refute_8_83,refute_8_84]) ).
cnf(refute_8_86,plain,
op2(h12(e12),h12(e10)) = h12(op1(e11,e13)),
inference(resolve,[$cnf( $equal(op2(e23,h12(e10)),h12(op1(e11,e13))) )],[refute_8_78,refute_8_85]) ).
cnf(refute_8_87,plain,
( h12(op1(e11,e13)) != h12(op1(e11,e13))
| op2(h12(e12),h12(e10)) != h12(op1(e11,e13))
| h12(op1(e11,e13)) = op2(h12(e12),h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e13)),op2(h12(e12),h12(e10))) ),[1],$fot(h12(op1(e11,e13)))]]) ).
cnf(refute_8_88,plain,
( h12(op1(e11,e13)) != h12(op1(e11,e13))
| h12(op1(e11,e13)) = op2(h12(e12),h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e10)),h12(op1(e11,e13))) )],[refute_8_86,refute_8_87]) ).
cnf(refute_8_89,plain,
( h12(op1(e11,e13)) != h12(op1(e11,e13))
| h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),op2(h12(e12),h12(e10))) )],[refute_8_88,refute_8_32]) ).
cnf(refute_8_90,plain,
h12(op1(e11,e13)) != h12(op1(e11,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e12,e10)),op2(h12(e12),h12(e10))) )],[refute_8_89,refute_8_0]) ).
cnf(refute_8_91,plain,
h12(op1(e11,e13)) = h12(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e13)))]]) ).
cnf(refute_8_92,plain,
$false,
inference(resolve,[$cnf( $equal(h12(op1(e11,e13)),h12(op1(e11,e13))) )],[refute_8_91,refute_8_90]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10)) )
=> h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_9_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_9_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_9_4]) ).
fof(normalize_9_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_9_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_9_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_9_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_9_13]) ).
fof(normalize_9_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_9_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_9_16]) ).
fof(normalize_9_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_9_16]) ).
fof(normalize_9_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_9_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_9_19]) ).
fof(normalize_9_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_9_19]) ).
fof(normalize_9_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_9_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_9_22]) ).
fof(normalize_9_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_9_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_9_25]) ).
fof(normalize_9_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_9_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_9_28]) ).
fof(normalize_9_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_9_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_9_31]) ).
fof(normalize_9_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_9_31]) ).
fof(normalize_9_34,plain,
( h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_9_0,normalize_9_2,normalize_9_3,normalize_9_5,normalize_9_6,normalize_9_8,normalize_9_9,normalize_9_11,normalize_9_12,normalize_9_14,normalize_9_15,normalize_9_17,normalize_9_18,normalize_9_20,normalize_9_21,normalize_9_23,normalize_9_24,normalize_9_26,normalize_9_27,normalize_9_29,normalize_9_30,normalize_9_32,normalize_9_33]) ).
fof(normalize_9_35,plain,
h12(op1(e12,e11)) != op2(h12(e12),h12(e11)),
inference(conjunct,[],[normalize_9_34]) ).
fof(normalize_9_36,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_9_37,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_38,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_39,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_9_40,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_9_39]) ).
fof(normalize_9_41,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_9_42,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_43,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_44,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_9_36]) ).
fof(normalize_9_45,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_46,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_9_10]) ).
fof(normalize_9_47,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_9_34]) ).
fof(normalize_9_48,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_9_41]) ).
fof(normalize_9_49,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_9_50,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_9_49]) ).
fof(normalize_9_51,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_9_50]) ).
fof(normalize_9_52,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_9_53,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_9_52,normalize_9_49]) ).
fof(normalize_9_54,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_9_53]) ).
fof(normalize_9_55,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_9_54]) ).
fof(normalize_9_56,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,[],[ax18]) ).
fof(normalize_9_57,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_9_56]) ).
fof(normalize_9_58,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_9_39]) ).
fof(normalize_9_59,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_9_60,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_9_59,normalize_9_53,normalize_9_49]) ).
fof(normalize_9_61,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_9_62,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_9_60,normalize_9_61]) ).
fof(normalize_9_63,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_9_62]) ).
fof(normalize_9_64,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_9_63]) ).
fof(normalize_9_65,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_9_66,plain,
e20 != e23,
inference(conjunct,[],[normalize_9_65]) ).
fof(normalize_9_67,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_9_61]) ).
fof(normalize_9_68,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_9_67]) ).
fof(normalize_9_69,plain,
e20 != e22,
inference(conjunct,[],[normalize_9_65]) ).
fof(normalize_9_70,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_9_71,plain,
op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13)),
inference(conjunct,[],[normalize_9_70]) ).
fof(normalize_9_72,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_9_73,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_9_72]) ).
fof(normalize_9_74,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_9_73]) ).
fof(normalize_9_75,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_9_76,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_9_75,normalize_9_72]) ).
fof(normalize_9_77,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_9_76]) ).
fof(normalize_9_78,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_9_77]) ).
fof(normalize_9_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,[],[ax17]) ).
fof(normalize_9_80,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_9_79]) ).
fof(normalize_9_81,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_9_82,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_9_81]) ).
fof(normalize_9_83,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_9_84,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_9_83,normalize_9_76,normalize_9_72]) ).
fof(normalize_9_85,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_9_86,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_9_84,normalize_9_85]) ).
fof(normalize_9_87,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_9_86]) ).
fof(normalize_9_88,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_9_87]) ).
fof(normalize_9_89,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_9_81]) ).
fof(normalize_9_90,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_9_91,plain,
e10 != e13,
inference(conjunct,[],[normalize_9_90]) ).
fof(normalize_9_92,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_9_85]) ).
fof(normalize_9_93,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_9_92]) ).
fof(normalize_9_94,plain,
e10 != e12,
inference(conjunct,[],[normalize_9_90]) ).
fof(normalize_9_95,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_96,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_9_95]) ).
fof(normalize_9_97,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_9_79]) ).
fof(normalize_9_98,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_9_79]) ).
fof(normalize_9_99,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_9_79]) ).
fof(normalize_9_100,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_9_70]) ).
fof(normalize_9_101,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_9_73]) ).
cnf(refute_9_0,plain,
h12(op1(e12,e11)) != op2(h12(e12),h12(e11)),
inference(canonicalize,[],[normalize_9_35]) ).
cnf(refute_9_1,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_9_37]) ).
cnf(refute_9_2,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_9_38]) ).
cnf(refute_9_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_3,refute_9_4]) ).
cnf(refute_9_6,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_9_7,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_9_2,refute_9_6]) ).
cnf(refute_9_8,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_9_40]) ).
cnf(refute_9_9,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_10,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_9_8,refute_9_9]) ).
cnf(refute_9_11,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_9_12,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_13,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_9_11,refute_9_12]) ).
cnf(refute_9_14,plain,
op2(op2(e23,e23),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_10,refute_9_13]) ).
cnf(refute_9_15,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_16,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_5,refute_9_15]) ).
cnf(refute_9_17,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e23,e23),e22) != op2(e20,e22)
| op2(op2(e23,e23),e22) = h2(e11) ),
inference(subst,[],[refute_9_16:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_9_18,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e23,e23),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e20,e22)) )],[refute_9_14,refute_9_17]) ).
cnf(refute_9_19,plain,
op2(op2(e23,e23),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_9_7,refute_9_18]) ).
cnf(refute_9_20,plain,
( op2(op2(e23,e23),e22) != h2(e11)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_9_21,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),h2(e11)) )],[refute_9_19,refute_9_20]) ).
cnf(refute_9_22,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_9_42]) ).
cnf(refute_9_23,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_9_24,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_9_22,refute_9_23]) ).
cnf(refute_9_25,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_9_26,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(h12(e11))]]) ).
cnf(refute_9_27,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,op2(e23,e22)) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_9_25,refute_9_26]) ).
cnf(refute_9_28,plain,
op2(e23,op2(e23,e22)) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_9_24,refute_9_27]) ).
cnf(refute_9_29,plain,
( h2(e11) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,h12(e11))
| h2(e11) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,h12(e11))) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_9_30,plain,
( h2(e11) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,h12(e11))) )],[refute_9_28,refute_9_29]) ).
cnf(refute_9_31,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,op2(e23,e22))) )],[refute_9_21,refute_9_30]) ).
cnf(refute_9_32,plain,
h2(e11) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_9_1,refute_9_31]) ).
cnf(refute_9_33,plain,
( h2(e11) != op2(e23,h12(e11))
| op2(e23,h12(e11)) = h2(e11) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e23,h12(e11))))]]) ).
cnf(refute_9_34,plain,
op2(e23,h12(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h12(e11))) )],[refute_9_32,refute_9_33]) ).
cnf(refute_9_35,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_9_43]) ).
cnf(refute_9_36,plain,
op2(h12(e12),h12(e11)) = op2(h12(e12),h12(e11)),
introduced(tautology,[refl,[$fot(op2(h12(e12),h12(e11)))]]) ).
cnf(refute_9_37,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e11)) != op2(h12(e12),h12(e11))
| op2(h12(e12),h12(e11)) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(h12(e12),h12(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_38,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e11)) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(h12(e12),h12(e11))) )],[refute_9_36,refute_9_37]) ).
cnf(refute_9_39,plain,
op2(h12(e12),h12(e11)) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_9_35,refute_9_38]) ).
cnf(refute_9_40,plain,
( op2(e23,h12(e11)) != h2(e11)
| op2(h12(e12),h12(e11)) != op2(e23,h12(e11))
| op2(h12(e12),h12(e11)) = h2(e11) ),
inference(subst,[],[refute_9_16:[bind(X,$fot(op2(h12(e12),h12(e11)))),bind(Y,$fot(op2(e23,h12(e11)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_9_41,plain,
( op2(e23,h12(e11)) != h2(e11)
| op2(h12(e12),h12(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(e23,h12(e11))) )],[refute_9_39,refute_9_40]) ).
cnf(refute_9_42,plain,
op2(h12(e12),h12(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e23,h12(e11)),h2(e11)) )],[refute_9_34,refute_9_41]) ).
cnf(refute_9_43,plain,
( h12(op1(e12,e11)) != h2(e11)
| op2(h12(e12),h12(e11)) != h2(e11)
| h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e12,e11)),op2(h12(e12),h12(e11))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_9_44,plain,
( h12(op1(e12,e11)) != h2(e11)
| h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),h2(e11)) )],[refute_9_42,refute_9_43]) ).
cnf(refute_9_45,plain,
h12(op1(e12,e11)) != h2(e11),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),op2(h12(e12),h12(e11))) )],[refute_9_44,refute_9_0]) ).
cnf(refute_9_46,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_9_44]) ).
cnf(refute_9_47,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_9_45]) ).
cnf(refute_9_48,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_9_46]) ).
cnf(refute_9_49,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_9_50,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_9_48,refute_9_49]) ).
cnf(refute_9_51,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_9_52,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_9_50,refute_9_51]) ).
cnf(refute_9_53,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_9_47,refute_9_52]) ).
cnf(refute_9_54,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_9_55,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_9_53,refute_9_54]) ).
cnf(refute_9_56,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_9_16:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_9_57,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_9_50,refute_9_56]) ).
cnf(refute_9_58,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_9_55,refute_9_57]) ).
cnf(refute_9_59,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_9_60,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_9_61,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_9_59,refute_9_60]) ).
cnf(refute_9_62,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_9_58,refute_9_61]) ).
cnf(refute_9_63,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_9_64,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_9_62,refute_9_63]) ).
cnf(refute_9_65,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_9_66,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_9_67,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_9_65,refute_9_66]) ).
cnf(refute_9_68,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_9_58,refute_9_67]) ).
cnf(refute_9_69,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_9_70,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_9_68,refute_9_69]) ).
cnf(refute_9_71,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_9_64,refute_9_70]) ).
cnf(refute_9_72,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_9_46,refute_9_71]) ).
cnf(refute_9_73,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_9_47]) ).
cnf(refute_9_74,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_9_48]) ).
cnf(refute_9_75,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_9_76,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_9_77,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_9_75,refute_9_76]) ).
cnf(refute_9_78,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_9_74,refute_9_77]) ).
cnf(refute_9_79,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_9_16:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_9_80,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_9_78,refute_9_79]) ).
cnf(refute_9_81,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_9_72,refute_9_80]) ).
cnf(refute_9_82,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_9_83,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_9_81,refute_9_82]) ).
cnf(refute_9_84,plain,
h12(op1(e10,e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_9_73,refute_9_83]) ).
cnf(refute_9_85,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = h12(op1(e10,e13)) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(h12(op1(e10,e13)))),bind(Y,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_9_86,plain,
op2(e22,h12(e10)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_9_84,refute_9_85]) ).
cnf(refute_9_87,plain,
( op2(e22,h12(e10)) != h12(op1(e10,e13))
| op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) ),[1],$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_9_88,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h12(op1(e10,e13))) )],[refute_9_86,refute_9_87]) ).
cnf(refute_9_89,plain,
op2(h12(e10),e22) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_9_72,refute_9_88]) ).
cnf(refute_9_90,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_9_51]) ).
cnf(refute_9_91,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_9_92,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_9_58,refute_9_91]) ).
cnf(refute_9_93,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_9_90,refute_9_92]) ).
cnf(refute_9_94,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_9_55]) ).
cnf(refute_9_95,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_9_96,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_9_58,refute_9_95]) ).
cnf(refute_9_97,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_9_94,refute_9_96]) ).
cnf(refute_9_98,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_9_57]) ).
cnf(refute_9_99,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_9_100,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_9_58,refute_9_99]) ).
cnf(refute_9_101,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_9_58]) ).
cnf(refute_9_102,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_9_103,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_9_101,refute_9_102]) ).
cnf(refute_9_104,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_9_105,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_9_103,refute_9_104]) ).
cnf(refute_9_106,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_9_105,refute_9_100]) ).
cnf(refute_9_107,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_9_106,refute_9_98]) ).
cnf(refute_9_108,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_9_97,refute_9_107]) ).
cnf(refute_9_109,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_9_64]) ).
cnf(refute_9_110,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_9_111,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_10,refute_9_110]) ).
cnf(refute_9_112,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_9_109,refute_9_111]) ).
cnf(refute_9_113,plain,
e20 != e23,
inference(canonicalize,[],[normalize_9_66]) ).
cnf(refute_9_114,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_9_112,refute_9_113]) ).
cnf(refute_9_115,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_9_68]) ).
cnf(refute_9_116,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_9_117,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_9_10,refute_9_116]) ).
cnf(refute_9_118,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_9_115,refute_9_117]) ).
cnf(refute_9_119,plain,
e20 != e22,
inference(canonicalize,[],[normalize_9_69]) ).
cnf(refute_9_120,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_9_118,refute_9_119]) ).
cnf(refute_9_121,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_9_114,refute_9_120]) ).
cnf(refute_9_122,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_9_121,refute_9_108]) ).
cnf(refute_9_123,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_9_93,refute_9_122]) ).
cnf(refute_9_124,plain,
op2(h12(e10),e22) = op2(h12(e10),e22),
introduced(tautology,[refl,[$fot(op2(h12(e10),e22))]]) ).
cnf(refute_9_125,plain,
( h12(e10) != e20
| op2(h12(e10),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_126,plain,
( h12(e10) != e20
| op2(h12(e10),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) )],[refute_9_124,refute_9_125]) ).
cnf(refute_9_127,plain,
op2(h12(e10),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_9_123,refute_9_126]) ).
cnf(refute_9_128,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) != op2(e20,e22)
| op2(h12(e10),e22) = h2(e11) ),
inference(subst,[],[refute_9_16:[bind(X,$fot(op2(h12(e10),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_9_129,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e20,e22)) )],[refute_9_127,refute_9_128]) ).
cnf(refute_9_130,plain,
op2(h12(e10),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_9_7,refute_9_129]) ).
cnf(refute_9_131,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| op2(h12(e10),e22) != h2(e11)
| h2(e11) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_9_132,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| h2(e11) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h2(e11)) )],[refute_9_130,refute_9_131]) ).
cnf(refute_9_133,plain,
h2(e11) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) )],[refute_9_89,refute_9_132]) ).
cnf(refute_9_134,plain,
op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13)),
inference(canonicalize,[],[normalize_9_71]) ).
cnf(refute_9_135,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_9_74]) ).
cnf(refute_9_136,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_9_78]) ).
cnf(refute_9_137,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_80]) ).
cnf(refute_9_138,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_9_82]) ).
cnf(refute_9_139,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_9_140,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_9_138,refute_9_139]) ).
cnf(refute_9_141,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_142,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_140,refute_9_141]) ).
cnf(refute_9_143,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_9_142,refute_9_137]) ).
cnf(refute_9_144,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_9_136,refute_9_143]) ).
cnf(refute_9_145,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_9_88]) ).
cnf(refute_9_146,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_9_89]) ).
cnf(refute_9_147,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_148,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_9_150,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_148,refute_9_149]) ).
cnf(refute_9_151,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_9_145,refute_9_150]) ).
cnf(refute_9_152,plain,
e10 != e13,
inference(canonicalize,[],[normalize_9_91]) ).
cnf(refute_9_153,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_9_151,refute_9_152]) ).
cnf(refute_9_154,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_9_93]) ).
cnf(refute_9_155,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_9_156,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_148,refute_9_155]) ).
cnf(refute_9_157,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_9_154,refute_9_156]) ).
cnf(refute_9_158,plain,
e10 != e12,
inference(canonicalize,[],[normalize_9_94]) ).
cnf(refute_9_159,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_9_157,refute_9_158]) ).
cnf(refute_9_160,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_9_153,refute_9_159]) ).
cnf(refute_9_161,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_9_160,refute_9_144]) ).
cnf(refute_9_162,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_9_135,refute_9_161]) ).
cnf(refute_9_163,plain,
op1(op1(e10,e10),e13) = op1(op1(e10,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e10,e10),e13))]]) ).
cnf(refute_9_164,plain,
( op1(e10,e10) != e10
| op1(op1(e10,e10),e13) != op1(op1(e10,e10),e13)
| op1(op1(e10,e10),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e10),e13),op1(op1(e10,e10),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_165,plain,
( op1(e10,e10) != e10
| op1(op1(e10,e10),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e10),e13),op1(op1(e10,e10),e13)) )],[refute_9_163,refute_9_164]) ).
cnf(refute_9_166,plain,
op1(op1(e10,e10),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_9_162,refute_9_165]) ).
cnf(refute_9_167,plain,
( op1(op1(e10,e10),e13) != op1(e10,e13)
| op1(op1(e10,e10),e13) != op1(e10,op1(e10,e13))
| op1(e10,e13) = op1(e10,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e10),e13),op1(e10,op1(e10,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_9_168,plain,
( op1(op1(e10,e10),e13) != op1(e10,op1(e10,e13))
| op1(e10,e13) = op1(e10,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e10),e13),op1(e10,e13)) )],[refute_9_166,refute_9_167]) ).
cnf(refute_9_169,plain,
op1(e10,e13) = op1(e10,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e10),e13),op1(e10,op1(e10,e13))) )],[refute_9_134,refute_9_168]) ).
cnf(refute_9_170,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_9_96]) ).
cnf(refute_9_171,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_9_97]) ).
cnf(refute_9_172,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_9_173,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_9_148,refute_9_172]) ).
cnf(refute_9_174,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_9_173,refute_9_171]) ).
cnf(refute_9_175,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_9_170,refute_9_174]) ).
cnf(refute_9_176,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_9_98]) ).
cnf(refute_9_177,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_9_178,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_140,refute_9_177]) ).
cnf(refute_9_179,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_9_178,refute_9_176]) ).
cnf(refute_9_180,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_9_175,refute_9_179]) ).
cnf(refute_9_181,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != op1(e10,op1(e10,e13))
| op1(e10,e13) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),op1(e10,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_9_182,plain,
( op1(e10,e13) != op1(e10,op1(e10,e13))
| op1(e10,e13) = e13
| op1(e10,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_9_180,refute_9_181]) ).
cnf(refute_9_183,plain,
( op1(e10,e13) = e13
| op1(e10,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,op1(e10,e13))) )],[refute_9_169,refute_9_182]) ).
cnf(refute_9_184,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_9_99]) ).
cnf(refute_9_185,plain,
( op1(e10,e13) != op1(e10,e12)
| op1(e10,e12) = op1(e10,e13) ),
inference(subst,[],[refute_9_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,e12)))]]) ).
cnf(refute_9_186,plain,
op1(e10,e13) != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_9_185,refute_9_184]) ).
cnf(refute_9_187,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e12)) )],[refute_9_183,refute_9_186]) ).
cnf(refute_9_188,plain,
h12(op1(e10,e13)) = h12(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_9_189,plain,
( h12(op1(e10,e13)) != h12(op1(e10,e13))
| op1(e10,e13) != e13
| h12(op1(e10,e13)) = h12(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),h12(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_190,plain,
( op1(e10,e13) != e13
| h12(op1(e10,e13)) = h12(e13) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h12(op1(e10,e13))) )],[refute_9_188,refute_9_189]) ).
cnf(refute_9_191,plain,
h12(op1(e10,e13)) = h12(e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_187,refute_9_190]) ).
cnf(refute_9_192,plain,
( h12(e13) != e22
| h12(op1(e10,e13)) != h12(e13)
| h12(op1(e10,e13)) = e22 ),
inference(subst,[],[refute_9_16:[bind(X,$fot(h12(op1(e10,e13)))),bind(Y,$fot(h12(e13))),bind(Z,$fot(e22))]]) ).
cnf(refute_9_193,plain,
( h12(e13) != e22
| h12(op1(e10,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h12(e13)) )],[refute_9_191,refute_9_192]) ).
cnf(refute_9_194,plain,
h12(op1(e10,e13)) = e22,
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_9_74,refute_9_193]) ).
cnf(refute_9_195,plain,
( h12(op1(e10,e13)) != e22
| h2(e11) != h12(op1(e10,e13))
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h12(op1(e10,e13))) ),[1],$fot(e22)]]) ).
cnf(refute_9_196,plain,
( h2(e11) != h12(op1(e10,e13))
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),e22) )],[refute_9_194,refute_9_195]) ).
cnf(refute_9_197,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(h2(e11),h12(op1(e10,e13))) )],[refute_9_133,refute_9_196]) ).
cnf(refute_9_198,plain,
( h12(op1(e12,e11)) != e22
| h2(e11) != e22
| h12(op1(e12,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e12,e11)),h2(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_9_199,plain,
( h12(op1(e12,e11)) != e22
| h12(op1(e12,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_9_197,refute_9_198]) ).
cnf(refute_9_200,plain,
h12(op1(e12,e11)) != e22,
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h2(e11)) )],[refute_9_199,refute_9_45]) ).
cnf(refute_9_201,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_9_100]) ).
cnf(refute_9_202,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_9_203,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_9_204,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_9_202,refute_9_203]) ).
cnf(refute_9_205,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_140,refute_9_204]) ).
cnf(refute_9_206,plain,
( op1(e12,op1(e12,e13)) != op1(e12,e11)
| op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_9_207,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_9_205,refute_9_206]) ).
cnf(refute_9_208,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_9_201,refute_9_207]) ).
cnf(refute_9_209,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_9_101]) ).
cnf(refute_9_210,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_9_209,refute_9_161]) ).
cnf(refute_9_211,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_9_212,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_213,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_9_211,refute_9_212]) ).
cnf(refute_9_214,plain,
op1(op1(e12,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_9_210,refute_9_213]) ).
cnf(refute_9_215,plain,
( op1(e10,e13) != e13
| op1(op1(e12,e12),e13) != op1(e10,e13)
| op1(op1(e12,e12),e13) = e13 ),
inference(subst,[],[refute_9_16:[bind(X,$fot(op1(op1(e12,e12),e13))),bind(Y,$fot(op1(e10,e13))),bind(Z,$fot(e13))]]) ).
cnf(refute_9_216,plain,
( op1(e10,e13) != e13
| op1(op1(e12,e12),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e10,e13)) )],[refute_9_214,refute_9_215]) ).
cnf(refute_9_217,plain,
op1(op1(e12,e12),e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_9_187,refute_9_216]) ).
cnf(refute_9_218,plain,
( op1(op1(e12,e12),e13) != e13
| op1(op1(e12,e12),e13) != op1(e12,e11)
| e13 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) ),[0],$fot(e13)]]) ).
cnf(refute_9_219,plain,
( op1(op1(e12,e12),e13) != op1(e12,e11)
| e13 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),e13) )],[refute_9_217,refute_9_218]) ).
cnf(refute_9_220,plain,
e13 = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) )],[refute_9_208,refute_9_219]) ).
cnf(refute_9_221,plain,
( e13 != op1(e12,e11)
| op1(e12,e11) = e13 ),
inference(subst,[],[refute_9_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_9_222,plain,
op1(e12,e11) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e11)) )],[refute_9_220,refute_9_221]) ).
cnf(refute_9_223,plain,
h12(op1(e12,e11)) = h12(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h12(op1(e12,e11)))]]) ).
cnf(refute_9_224,plain,
( h12(op1(e12,e11)) != h12(op1(e12,e11))
| op1(e12,e11) != e13
| h12(op1(e12,e11)) = h12(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e12,e11))) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_225,plain,
( op1(e12,e11) != e13
| h12(op1(e12,e11)) = h12(e13) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e12,e11))) )],[refute_9_223,refute_9_224]) ).
cnf(refute_9_226,plain,
h12(op1(e12,e11)) = h12(e13),
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_9_222,refute_9_225]) ).
cnf(refute_9_227,plain,
( h12(e13) != e22
| h12(op1(e12,e11)) != h12(e13)
| h12(op1(e12,e11)) = e22 ),
inference(subst,[],[refute_9_16:[bind(X,$fot(h12(op1(e12,e11)))),bind(Y,$fot(h12(e13))),bind(Z,$fot(e22))]]) ).
cnf(refute_9_228,plain,
( h12(e13) != e22
| h12(op1(e12,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h12(e13)) )],[refute_9_226,refute_9_227]) ).
cnf(refute_9_229,plain,
h12(op1(e12,e11)) = e22,
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_9_74,refute_9_228]) ).
cnf(refute_9_230,plain,
( e22 != e22
| h12(op1(e12,e11)) != e22
| h12(op1(e12,e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e11)),e22) ),[1],$fot(e22)]]) ).
cnf(refute_9_231,plain,
( e22 != e22
| h12(op1(e12,e11)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),e22) )],[refute_9_229,refute_9_230]) ).
cnf(refute_9_232,plain,
e22 != e22,
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),e22) )],[refute_9_231,refute_9_200]) ).
cnf(refute_9_233,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_9_234,plain,
$false,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_9_233,refute_9_232]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11)) )
=> h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_10_1,plain,
op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_2,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_10_3,plain,
h1(e10) = op2(e21,e21),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_4,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_10_5,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_10_4]) ).
fof(normalize_10_6,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_10_7,plain,
h11(e11) = op2(e23,e21),
inference(conjunct,[],[normalize_10_6]) ).
fof(normalize_10_8,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_10_9,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_10,plain,
( h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_11,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_12,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_13,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_10_14,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_10_13]) ).
fof(normalize_10_15,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_10_13]) ).
fof(normalize_10_16,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_10_6]) ).
fof(normalize_10_17,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_10_6]) ).
fof(normalize_10_18,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_10_19,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_10_18]) ).
fof(normalize_10_20,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_10_18]) ).
fof(normalize_10_21,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_10_22,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_10_21]) ).
fof(normalize_10_23,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_10_21]) ).
fof(normalize_10_24,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_10_25,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_10_24]) ).
fof(normalize_10_26,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_10_24]) ).
fof(normalize_10_27,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_10_28,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_10_27]) ).
fof(normalize_10_29,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_10_27]) ).
fof(normalize_10_30,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_10_31,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_10_30]) ).
fof(normalize_10_32,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_10_30]) ).
fof(normalize_10_33,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_10_34,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_10_33]) ).
fof(normalize_10_35,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_10_33]) ).
fof(normalize_10_36,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_10_37,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_10_36]) ).
fof(normalize_10_38,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_10_36]) ).
fof(normalize_10_39,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_10_40,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_10_39]) ).
fof(normalize_10_41,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_10_39]) ).
fof(normalize_10_42,plain,
( h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_10_10,normalize_10_11,normalize_10_12,normalize_10_14,normalize_10_15,normalize_10_16,normalize_10_17,normalize_10_19,normalize_10_20,normalize_10_22,normalize_10_23,normalize_10_25,normalize_10_26,normalize_10_28,normalize_10_29,normalize_10_31,normalize_10_32,normalize_10_34,normalize_10_35,normalize_10_37,normalize_10_38,normalize_10_40,normalize_10_41]) ).
fof(normalize_10_43,plain,
h12(op1(e11,e12)) = op2(h12(e11),h12(e12)),
inference(conjunct,[],[normalize_10_42]) ).
fof(normalize_10_44,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_45,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_46,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_47,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_10_8]) ).
fof(normalize_10_48,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_10_49,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_50,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_51,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_10_52,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_10_51]) ).
fof(normalize_10_53,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_10_52]) ).
fof(normalize_10_54,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_10_55,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_10_54,normalize_10_51]) ).
fof(normalize_10_56,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_10_55]) ).
fof(normalize_10_57,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_10_56]) ).
fof(normalize_10_58,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,[],[ax17]) ).
fof(normalize_10_59,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_10_58]) ).
fof(normalize_10_60,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_10_61,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_10_60]) ).
fof(normalize_10_62,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_10_63,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_10_62,normalize_10_55,normalize_10_51]) ).
fof(normalize_10_64,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_10_65,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_10_63,normalize_10_64]) ).
fof(normalize_10_66,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_10_65]) ).
fof(normalize_10_67,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_10_66]) ).
fof(normalize_10_68,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_10_60]) ).
fof(normalize_10_69,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_10_70,plain,
e10 != e13,
inference(conjunct,[],[normalize_10_69]) ).
fof(normalize_10_71,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_10_64]) ).
fof(normalize_10_72,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_10_71]) ).
fof(normalize_10_73,plain,
e10 != e12,
inference(conjunct,[],[normalize_10_69]) ).
fof(normalize_10_74,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_75,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_76,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_77,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_10_52]) ).
fof(normalize_10_78,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_79,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_80,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_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_10_82,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_10_81]) ).
fof(normalize_10_83,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_10_58]) ).
fof(normalize_10_84,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_10_58]) ).
fof(normalize_10_85,plain,
op1(e10,e10) != op1(e10,e11),
inference(conjunct,[],[normalize_10_58]) ).
fof(normalize_10_86,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_10_52]) ).
fof(normalize_10_87,plain,
e12 != e13,
inference(conjunct,[],[normalize_10_69]) ).
fof(normalize_10_88,plain,
op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_89,plain,
h5(e11) = op2(e21,e22),
inference(conjunct,[],[normalize_10_27]) ).
fof(normalize_10_90,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_10_4]) ).
fof(normalize_10_91,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(conjunct,[],[normalize_10_42]) ).
fof(normalize_10_92,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_93,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_10_36]) ).
fof(normalize_10_94,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_95,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_10_30]) ).
fof(normalize_10_96,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_97,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_10_18]) ).
fof(normalize_10_98,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_10_33]) ).
fof(normalize_10_99,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_100,plain,
h12(op1(e12,e11)) = op2(h12(e12),h12(e11)),
inference(conjunct,[],[normalize_10_42]) ).
fof(normalize_10_101,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_102,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_10_48]) ).
fof(normalize_10_103,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_104,plain,
h1(e11) = op2(e20,e21),
inference(conjunct,[],[normalize_10_2]) ).
fof(normalize_10_105,plain,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
inference(conjunct,[],[normalize_10_0]) ).
fof(normalize_10_106,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(conjunct,[],[normalize_10_81]) ).
fof(normalize_10_107,plain,
op1(e11,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_10_58]) ).
fof(normalize_10_108,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_10_58]) ).
fof(normalize_10_109,plain,
op1(e10,e12) != op1(e10,e13),
inference(conjunct,[],[normalize_10_58]) ).
fof(normalize_10_110,plain,
h12(op1(e12,e12)) != op2(h12(e12),h12(e12)),
inference(conjunct,[],[normalize_10_42]) ).
cnf(refute_10_0,plain,
op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21)),
inference(canonicalize,[],[normalize_10_1]) ).
cnf(refute_10_1,plain,
h1(e10) = op2(e21,e21),
inference(canonicalize,[],[normalize_10_3]) ).
cnf(refute_10_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_2,refute_10_3]) ).
cnf(refute_10_5,plain,
( h1(e10) != op2(e21,e21)
| op2(e21,e21) = h1(e10) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_10_6,plain,
op2(e21,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e21)) )],[refute_10_1,refute_10_5]) ).
cnf(refute_10_7,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_10_5]) ).
cnf(refute_10_8,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_10_9,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_10_7,refute_10_8]) ).
cnf(refute_10_10,plain,
op2(op2(e22,e23),e21) = op2(op2(e22,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e21))]]) ).
cnf(refute_10_11,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e21) != op2(op2(e22,e23),e21)
| op2(op2(e22,e23),e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e21),op2(op2(e22,e23),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_12,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e21),op2(op2(e22,e23),e21)) )],[refute_10_10,refute_10_11]) ).
cnf(refute_10_13,plain,
op2(op2(e22,e23),e21) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_10_9,refute_10_12]) ).
cnf(refute_10_14,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_15,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_4,refute_10_14]) ).
cnf(refute_10_16,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e22,e23),e21) != op2(e21,e21)
| op2(op2(e22,e23),e21) = h1(e10) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(op2(e22,e23),e21))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_10_17,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e22,e23),e21) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e21),op2(e21,e21)) )],[refute_10_13,refute_10_16]) ).
cnf(refute_10_18,plain,
op2(op2(e22,e23),e21) = h1(e10),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_10_6,refute_10_17]) ).
cnf(refute_10_19,plain,
( op2(op2(e22,e23),e21) != h1(e10)
| op2(op2(e22,e23),e21) != op2(e22,op2(e23,e21))
| h1(e10) = op2(e22,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e21),op2(e22,op2(e23,e21))) ),[0],$fot(h1(e10))]]) ).
cnf(refute_10_20,plain,
( op2(op2(e22,e23),e21) != op2(e22,op2(e23,e21))
| h1(e10) = op2(e22,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e21),h1(e10)) )],[refute_10_18,refute_10_19]) ).
cnf(refute_10_21,plain,
h11(e11) = op2(e23,e21),
inference(canonicalize,[],[normalize_10_7]) ).
cnf(refute_10_22,plain,
( h11(e11) != op2(e23,e21)
| op2(e23,e21) = h11(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h11(e11))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_10_23,plain,
op2(e23,e21) = h11(e11),
inference(resolve,[$cnf( $equal(h11(e11),op2(e23,e21)) )],[refute_10_21,refute_10_22]) ).
cnf(refute_10_24,plain,
op2(e22,op2(e23,e21)) = op2(e22,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e21)))]]) ).
cnf(refute_10_25,plain,
( op2(e22,op2(e23,e21)) != op2(e22,op2(e23,e21))
| op2(e23,e21) != h11(e11)
| op2(e22,op2(e23,e21)) = op2(e22,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e21)),op2(e22,op2(e23,e21))) ),[1,1],$fot(h11(e11))]]) ).
cnf(refute_10_26,plain,
( op2(e23,e21) != h11(e11)
| op2(e22,op2(e23,e21)) = op2(e22,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e21)),op2(e22,op2(e23,e21))) )],[refute_10_24,refute_10_25]) ).
cnf(refute_10_27,plain,
op2(e22,op2(e23,e21)) = op2(e22,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_10_23,refute_10_26]) ).
cnf(refute_10_28,plain,
( h1(e10) != op2(e22,op2(e23,e21))
| op2(e22,op2(e23,e21)) != op2(e22,h11(e11))
| h1(e10) = op2(e22,h11(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(e22,h11(e11))) ),[0],$fot(op2(e22,op2(e23,e21)))]]) ).
cnf(refute_10_29,plain,
( h1(e10) != op2(e22,op2(e23,e21))
| h1(e10) = op2(e22,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e21)),op2(e22,h11(e11))) )],[refute_10_27,refute_10_28]) ).
cnf(refute_10_30,plain,
( op2(op2(e22,e23),e21) != op2(e22,op2(e23,e21))
| h1(e10) = op2(e22,h11(e11)) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,op2(e23,e21))) )],[refute_10_20,refute_10_29]) ).
cnf(refute_10_31,plain,
h1(e10) = op2(e22,h11(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e21),op2(e22,op2(e23,e21))) )],[refute_10_0,refute_10_30]) ).
cnf(refute_10_32,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_10_9]) ).
cnf(refute_10_33,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h12(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_34,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
h12(op1(e11,e12)) = op2(h12(e11),h12(e12)),
inference(canonicalize,[],[normalize_10_43]) ).
cnf(refute_10_36,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(canonicalize,[],[normalize_10_44]) ).
cnf(refute_10_37,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_10_45]) ).
cnf(refute_10_38,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_10_39,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_10_37,refute_10_38]) ).
cnf(refute_10_40,plain,
op2(op2(e23,e22),e23) = op2(op2(e23,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e23))]]) ).
cnf(refute_10_41,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) != op2(op2(e23,e22),e23)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) ),[1,0],$fot(h12(e11))]]) ).
cnf(refute_10_42,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) )],[refute_10_40,refute_10_41]) ).
cnf(refute_10_43,plain,
op2(op2(e23,e22),e23) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_10_39,refute_10_42]) ).
cnf(refute_10_44,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(op2(e23,e22),e23) != op2(h12(e11),e23)
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) ),[0],$fot(op2(h12(e11),e23))]]) ).
cnf(refute_10_45,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(h12(e11),e23)) )],[refute_10_43,refute_10_44]) ).
cnf(refute_10_46,plain,
op2(e23,op2(e22,e23)) = op2(e23,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e23)))]]) ).
cnf(refute_10_47,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) != op2(e23,op2(e22,e23))
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_48,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) )],[refute_10_46,refute_10_47]) ).
cnf(refute_10_49,plain,
op2(e23,op2(e22,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_10_9,refute_10_48]) ).
cnf(refute_10_50,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) != op2(e23,e21)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(e23,op2(e22,e23)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_10_51,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,e21)) )],[refute_10_49,refute_10_50]) ).
cnf(refute_10_52,plain,
op2(e23,op2(e22,e23)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_10_23,refute_10_51]) ).
cnf(refute_10_53,plain,
( op2(e23,op2(e22,e23)) != h11(e11)
| op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) ),[1],$fot(h11(e11))]]) ).
cnf(refute_10_54,plain,
( op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),h11(e11)) )],[refute_10_52,refute_10_53]) ).
cnf(refute_10_55,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) )],[refute_10_45,refute_10_54]) ).
cnf(refute_10_56,plain,
op2(h12(e11),e23) = h11(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) )],[refute_10_36,refute_10_55]) ).
cnf(refute_10_57,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_10_46]) ).
cnf(refute_10_58,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e12)))]]) ).
cnf(refute_10_59,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) != op2(h12(e11),h12(e12))
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_60,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) )],[refute_10_58,refute_10_59]) ).
cnf(refute_10_61,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_10_57,refute_10_60]) ).
cnf(refute_10_62,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) != op2(h12(e11),e23)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h12(e11),h12(e12)))),bind(Y,$fot(op2(h12(e11),e23))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_10_63,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),e23)) )],[refute_10_61,refute_10_62]) ).
cnf(refute_10_64,plain,
op2(h12(e11),h12(e12)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),h11(e11)) )],[refute_10_56,refute_10_63]) ).
cnf(refute_10_65,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| op2(h12(e11),h12(e12)) != h11(e11)
| h12(op1(e11,e12)) = h11(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e12)),h11(e11)) ),[0],$fot(op2(h12(e11),h12(e12)))]]) ).
cnf(refute_10_66,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),h11(e11)) )],[refute_10_64,refute_10_65]) ).
cnf(refute_10_67,plain,
h12(op1(e11,e12)) = h11(e11),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),op2(h12(e11),h12(e12))) )],[refute_10_35,refute_10_66]) ).
cnf(refute_10_68,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_10_47]) ).
cnf(refute_10_69,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_10_49]) ).
cnf(refute_10_70,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(canonicalize,[],[normalize_10_50]) ).
cnf(refute_10_71,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_10_53]) ).
cnf(refute_10_72,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_10_57]) ).
cnf(refute_10_73,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_59]) ).
cnf(refute_10_74,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_10_61]) ).
cnf(refute_10_75,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_10_76,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_10_74,refute_10_75]) ).
cnf(refute_10_77,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_78,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_76,refute_10_77]) ).
cnf(refute_10_79,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_10_78,refute_10_73]) ).
cnf(refute_10_80,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_10_72,refute_10_79]) ).
cnf(refute_10_81,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_10_67]) ).
cnf(refute_10_82,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_10_68]) ).
cnf(refute_10_83,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_10_84,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_10_82,refute_10_83]) ).
cnf(refute_10_85,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_10_86,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_84,refute_10_85]) ).
cnf(refute_10_87,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_10_81,refute_10_86]) ).
cnf(refute_10_88,plain,
e10 != e13,
inference(canonicalize,[],[normalize_10_70]) ).
cnf(refute_10_89,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_10_87,refute_10_88]) ).
cnf(refute_10_90,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_10_72]) ).
cnf(refute_10_91,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_10_92,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_84,refute_10_91]) ).
cnf(refute_10_93,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_10_90,refute_10_92]) ).
cnf(refute_10_94,plain,
e10 != e12,
inference(canonicalize,[],[normalize_10_73]) ).
cnf(refute_10_95,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_10_93,refute_10_94]) ).
cnf(refute_10_96,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_10_89,refute_10_95]) ).
cnf(refute_10_97,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_10_96,refute_10_80]) ).
cnf(refute_10_98,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_10_71,refute_10_97]) ).
cnf(refute_10_99,plain,
op1(op1(e11,e11),e13) = op1(op1(e11,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e13))]]) ).
cnf(refute_10_100,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) != op1(op1(e11,e11),e13)
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_101,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) )],[refute_10_99,refute_10_100]) ).
cnf(refute_10_102,plain,
op1(op1(e11,e11),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_98,refute_10_101]) ).
cnf(refute_10_103,plain,
( op1(op1(e11,e11),e13) != op1(e10,e13)
| op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_10_104,plain,
( op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,e13)) )],[refute_10_102,refute_10_103]) ).
cnf(refute_10_105,plain,
op1(e10,e13) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) )],[refute_10_70,refute_10_104]) ).
cnf(refute_10_106,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_10_74]) ).
cnf(refute_10_107,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(canonicalize,[],[normalize_10_75]) ).
cnf(refute_10_108,plain,
op1(op1(e11,e11),e11) = op1(op1(e11,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e11))]]) ).
cnf(refute_10_109,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) != op1(op1(e11,e11),e11)
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_110,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) )],[refute_10_108,refute_10_109]) ).
cnf(refute_10_111,plain,
op1(op1(e11,e11),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_98,refute_10_110]) ).
cnf(refute_10_112,plain,
( op1(op1(e11,e11),e11) != op1(e10,e11)
| op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_10_113,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e10,e11)) )],[refute_10_111,refute_10_112]) ).
cnf(refute_10_114,plain,
op1(e11,op1(e11,e11)) = op1(e11,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_10_115,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_10_116,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) )],[refute_10_114,refute_10_115]) ).
cnf(refute_10_117,plain,
op1(e11,op1(e11,e11)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_10_98,refute_10_116]) ).
cnf(refute_10_118,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_10_119,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,e10)) )],[refute_10_117,refute_10_118]) ).
cnf(refute_10_120,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e11))) )],[refute_10_113,refute_10_119]) ).
cnf(refute_10_121,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) )],[refute_10_107,refute_10_120]) ).
cnf(refute_10_122,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_10_123,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_10_121,refute_10_122]) ).
cnf(refute_10_124,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_10_125,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) != op1(op1(e11,e10),e12)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_10_126,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_10_124,refute_10_125]) ).
cnf(refute_10_127,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_10_123,refute_10_126]) ).
cnf(refute_10_128,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_10_129,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_10_127,refute_10_128]) ).
cnf(refute_10_130,plain,
op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_10_69,refute_10_129]) ).
cnf(refute_10_131,plain,
( op1(op1(e11,e10),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_10_132,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,op1(e11,e12))) )],[refute_10_130,refute_10_131]) ).
cnf(refute_10_133,plain,
op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_10_106,refute_10_132]) ).
cnf(refute_10_134,plain,
( op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e10,op1(e11,e12)))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_10_135,plain,
op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) )],[refute_10_133,refute_10_134]) ).
cnf(refute_10_136,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_10_76]) ).
cnf(refute_10_137,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_10_77]) ).
cnf(refute_10_138,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_10_137,refute_10_97]) ).
cnf(refute_10_139,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_10_140,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_141,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_10_139,refute_10_140]) ).
cnf(refute_10_142,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_138,refute_10_141]) ).
cnf(refute_10_143,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_10_144,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_10_142,refute_10_143]) ).
cnf(refute_10_145,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_10_78]) ).
cnf(refute_10_146,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_10_147,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_10_148,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_10_146,refute_10_147]) ).
cnf(refute_10_149,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_76,refute_10_148]) ).
cnf(refute_10_150,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_10_151,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_10_149,refute_10_150]) ).
cnf(refute_10_152,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_10_153,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_10_154,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_10_152,refute_10_153]) ).
cnf(refute_10_155,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_84,refute_10_154]) ).
cnf(refute_10_156,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_10_157,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_10_155,refute_10_156]) ).
cnf(refute_10_158,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_10_151,refute_10_157]) ).
cnf(refute_10_159,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_10_145,refute_10_158]) ).
cnf(refute_10_160,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_10_161,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_10_159,refute_10_160]) ).
cnf(refute_10_162,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_10_163,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_10_164,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_10_162,refute_10_163]) ).
cnf(refute_10_165,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_138,refute_10_164]) ).
cnf(refute_10_166,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_10_167,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_10_165,refute_10_166]) ).
cnf(refute_10_168,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_10_161,refute_10_167]) ).
cnf(refute_10_169,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_10_170,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_10_168,refute_10_169]) ).
cnf(refute_10_171,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_10_144,refute_10_170]) ).
cnf(refute_10_172,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_10_136,refute_10_171]) ).
cnf(refute_10_173,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_10_174,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_10_172,refute_10_173]) ).
cnf(refute_10_175,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_10_176,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) ),[1,1],$fot(op1(e10,e12))]]) ).
cnf(refute_10_177,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_10_175,refute_10_176]) ).
cnf(refute_10_178,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_10_174,refute_10_177]) ).
cnf(refute_10_179,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op1(e11,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e12)))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_10_180,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_10_178,refute_10_179]) ).
cnf(refute_10_181,plain,
op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,op1(e11,e12))) )],[refute_10_135,refute_10_180]) ).
cnf(refute_10_182,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) != op1(e10,op1(e11,e12))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e10,op1(e11,e12))) ),[0],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_10_183,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e10,op1(e11,e12))) )],[refute_10_181,refute_10_182]) ).
cnf(refute_10_184,plain,
op1(e10,e13) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,op1(e11,e13))) )],[refute_10_105,refute_10_183]) ).
cnf(refute_10_185,plain,
( op1(e10,e13) != op1(e10,op1(e11,e12))
| op1(e10,op1(e11,e12)) = op1(e10,e13) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_10_186,plain,
op1(e10,op1(e11,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,op1(e11,e12))) )],[refute_10_184,refute_10_185]) ).
cnf(refute_10_187,plain,
( op1(e10,op1(e11,e12)) != op1(e10,e13)
| op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_10_188,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,e13)) )],[refute_10_186,refute_10_187]) ).
cnf(refute_10_189,plain,
op1(op1(e10,e11),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_10_69,refute_10_188]) ).
cnf(refute_10_190,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(canonicalize,[],[normalize_10_79]) ).
cnf(refute_10_191,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_10_80]) ).
cnf(refute_10_192,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_10_193,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_10_194,plain,
( op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_10_192,refute_10_193]) ).
cnf(refute_10_195,plain,
op1(e11,op1(e13,e13)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_84,refute_10_194]) ).
cnf(refute_10_196,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e10)
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_10_197,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e10)) )],[refute_10_195,refute_10_196]) ).
cnf(refute_10_198,plain,
op1(op1(e11,e13),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_10_191,refute_10_197]) ).
cnf(refute_10_199,plain,
op1(op1(e12,e10),e13) = op1(op1(e12,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e10),e13))]]) ).
cnf(refute_10_200,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) != op1(op1(e12,e10),e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_10_201,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) )],[refute_10_199,refute_10_200]) ).
cnf(refute_10_202,plain,
op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_10_161,refute_10_201]) ).
cnf(refute_10_203,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(op1(e11,e13),e13)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op1(op1(e12,e10),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,e10)))]]) ).
cnf(refute_10_204,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e11,e13),e13)) )],[refute_10_202,refute_10_203]) ).
cnf(refute_10_205,plain,
op1(op1(e12,e10),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_10_198,refute_10_204]) ).
cnf(refute_10_206,plain,
( op1(op1(e12,e10),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e11,e10))]]) ).
cnf(refute_10_207,plain,
( op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e11,e10)) )],[refute_10_205,refute_10_206]) ).
cnf(refute_10_208,plain,
op1(e11,e10) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) )],[refute_10_190,refute_10_207]) ).
cnf(refute_10_209,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_10_210,plain,
( op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_10_123,refute_10_209]) ).
cnf(refute_10_211,plain,
op1(e10,e11) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) )],[refute_10_208,refute_10_210]) ).
cnf(refute_10_212,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_10_82]) ).
cnf(refute_10_213,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_83]) ).
cnf(refute_10_214,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_10_215,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_84,refute_10_214]) ).
cnf(refute_10_216,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_10_215,refute_10_213]) ).
cnf(refute_10_217,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_10_212,refute_10_216]) ).
cnf(refute_10_218,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_84]) ).
cnf(refute_10_219,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_220,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_76,refute_10_219]) ).
cnf(refute_10_221,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_10_220,refute_10_218]) ).
cnf(refute_10_222,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_10_217,refute_10_221]) ).
cnf(refute_10_223,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e13) != e13
| op1(e10,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) ),[1,1],$fot(e13)]]) ).
cnf(refute_10_224,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_222,refute_10_223]) ).
cnf(refute_10_225,plain,
( op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_10_211,refute_10_224]) ).
cnf(refute_10_226,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e12,e13) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e11) ),[0],$fot(op1(e12,e13))]]) ).
cnf(refute_10_227,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_76,refute_10_226]) ).
cnf(refute_10_228,plain,
( op1(e10,e11) = e11
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e13)) )],[refute_10_225,refute_10_227]) ).
cnf(refute_10_229,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_10_230,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_222,refute_10_229]) ).
cnf(refute_10_231,plain,
( op1(e10,e11) = op1(e12,e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_10_211,refute_10_230]) ).
cnf(refute_10_232,plain,
( op1(e10,e11) != op1(e12,e12)
| op1(e12,e12) != e10
| op1(e10,e11) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e10) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_10_233,plain,
( op1(e10,e11) != op1(e12,e12)
| op1(e10,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_138,refute_10_232]) ).
cnf(refute_10_234,plain,
( op1(e10,e11) = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e12)) )],[refute_10_231,refute_10_233]) ).
cnf(refute_10_235,plain,
op1(e10,e10) != op1(e10,e11),
inference(canonicalize,[],[normalize_10_85]) ).
cnf(refute_10_236,plain,
( op1(e10,e10) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_10_86]) ).
cnf(refute_10_237,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_10_236,refute_10_97]) ).
cnf(refute_10_238,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) != e10
| op1(e10,e10) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e10),e10) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_10_239,plain,
( e10 != op1(e10,e11)
| op1(e10,e10) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_10_237,refute_10_238]) ).
cnf(refute_10_240,plain,
e10 != op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e10,e11)) )],[refute_10_239,refute_10_235]) ).
cnf(refute_10_241,plain,
( op1(e10,e11) != e10
| e10 = op1(e10,e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(e10))]]) ).
cnf(refute_10_242,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e10,e11)) )],[refute_10_241,refute_10_240]) ).
cnf(refute_10_243,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_10_234,refute_10_242]) ).
cnf(refute_10_244,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_10_245,plain,
( op1(e10,e13) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_243,refute_10_244]) ).
cnf(refute_10_246,plain,
( e13 = e12
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_228,refute_10_245]) ).
cnf(refute_10_247,plain,
e12 != e13,
inference(canonicalize,[],[normalize_10_87]) ).
cnf(refute_10_248,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_10_249,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_10_248,refute_10_247]) ).
cnf(refute_10_250,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_10_246,refute_10_249]) ).
cnf(refute_10_251,plain,
op1(op1(e10,e11),e12) = op1(op1(e10,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e11),e12))]]) ).
cnf(refute_10_252,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) != op1(op1(e10,e11),e12)
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_10_253,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) )],[refute_10_251,refute_10_252]) ).
cnf(refute_10_254,plain,
op1(op1(e10,e11),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_10_250,refute_10_253]) ).
cnf(refute_10_255,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(op1(e10,e11),e12) != op1(e11,e12)
| op1(e11,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_10_256,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(e11,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e11,e12)) )],[refute_10_254,refute_10_255]) ).
cnf(refute_10_257,plain,
( op1(e10,e13) != e13
| op1(e11,e12) != op1(e10,e13)
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_10_258,plain,
( op1(e11,e12) != op1(e10,e13)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_243,refute_10_257]) ).
cnf(refute_10_259,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e10,e13)) )],[refute_10_256,refute_10_258]) ).
cnf(refute_10_260,plain,
op1(e11,e12) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) )],[refute_10_189,refute_10_259]) ).
cnf(refute_10_261,plain,
h12(op1(e11,e12)) = h12(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e12)))]]) ).
cnf(refute_10_262,plain,
( h12(op1(e11,e12)) != h12(op1(e11,e12))
| op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_10_263,plain,
( op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) )],[refute_10_261,refute_10_262]) ).
cnf(refute_10_264,plain,
h12(op1(e11,e12)) = h12(e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_10_260,refute_10_263]) ).
cnf(refute_10_265,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) != h12(e13)
| h12(op1(e11,e12)) = e22 ),
inference(subst,[],[refute_10_15:[bind(X,$fot(h12(op1(e11,e12)))),bind(Y,$fot(h12(e13))),bind(Z,$fot(e22))]]) ).
cnf(refute_10_266,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(e13)) )],[refute_10_264,refute_10_265]) ).
cnf(refute_10_267,plain,
h12(op1(e11,e12)) = e22,
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_10_68,refute_10_266]) ).
cnf(refute_10_268,plain,
( h12(op1(e11,e12)) != e22
| h12(op1(e11,e12)) != h11(e11)
| e22 = h11(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),h11(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_10_269,plain,
( h12(op1(e11,e12)) != h11(e11)
| e22 = h11(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),e22) )],[refute_10_267,refute_10_268]) ).
cnf(refute_10_270,plain,
e22 = h11(e11),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h11(e11)) )],[refute_10_67,refute_10_269]) ).
cnf(refute_10_271,plain,
( e22 != h11(e11)
| h11(e11) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(h11(e11)))]]) ).
cnf(refute_10_272,plain,
h11(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h11(e11)) )],[refute_10_270,refute_10_271]) ).
cnf(refute_10_273,plain,
op2(e22,h11(e11)) = op2(e22,h11(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h11(e11)))]]) ).
cnf(refute_10_274,plain,
( h11(e11) != e22
| op2(e22,h11(e11)) != op2(e22,h11(e11))
| op2(e22,h11(e11)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h11(e11)),op2(e22,h11(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_275,plain,
( h11(e11) != e22
| op2(e22,h11(e11)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h11(e11)),op2(e22,h11(e11))) )],[refute_10_273,refute_10_274]) ).
cnf(refute_10_276,plain,
op2(e22,h11(e11)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_10_272,refute_10_275]) ).
cnf(refute_10_277,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,h11(e11)) != op2(e22,e22)
| op2(e22,h11(e11)) = h12(e10) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(e22,h11(e11)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_10_278,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,h11(e11)) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,h11(e11)),op2(e22,e22)) )],[refute_10_276,refute_10_277]) ).
cnf(refute_10_279,plain,
op2(e22,h11(e11)) = h12(e10),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_10_34,refute_10_278]) ).
cnf(refute_10_280,plain,
( h1(e10) != op2(e22,h11(e11))
| op2(e22,h11(e11)) != h12(e10)
| h1(e10) = h12(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h12(e10)) ),[0],$fot(op2(e22,h11(e11)))]]) ).
cnf(refute_10_281,plain,
( h1(e10) != op2(e22,h11(e11))
| h1(e10) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,h11(e11)),h12(e10)) )],[refute_10_279,refute_10_280]) ).
cnf(refute_10_282,plain,
h1(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e22,h11(e11))) )],[refute_10_31,refute_10_281]) ).
cnf(refute_10_283,plain,
op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23)),
inference(canonicalize,[],[normalize_10_88]) ).
cnf(refute_10_284,plain,
h5(e11) = op2(e21,e22),
inference(canonicalize,[],[normalize_10_89]) ).
cnf(refute_10_285,plain,
( h5(e11) != op2(e21,e22)
| op2(e21,e22) = h5(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_10_286,plain,
op2(e21,e22) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e21,e22)) )],[refute_10_284,refute_10_285]) ).
cnf(refute_10_287,plain,
op2(op2(e21,e22),e23) = op2(op2(e21,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e23))]]) ).
cnf(refute_10_288,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e23) != op2(op2(e21,e22),e23)
| op2(op2(e21,e22),e23) = op2(h5(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e23),op2(op2(e21,e22),e23)) ),[1,0],$fot(h5(e11))]]) ).
cnf(refute_10_289,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e23) = op2(h5(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e23),op2(op2(e21,e22),e23)) )],[refute_10_287,refute_10_288]) ).
cnf(refute_10_290,plain,
op2(op2(e21,e22),e23) = op2(h5(e11),e23),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_10_286,refute_10_289]) ).
cnf(refute_10_291,plain,
( op2(op2(e21,e22),e23) != op2(e21,op2(e22,e23))
| op2(op2(e21,e22),e23) != op2(h5(e11),e23)
| op2(h5(e11),e23) = op2(e21,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e23),op2(e21,op2(e22,e23))) ),[0],$fot(op2(h5(e11),e23))]]) ).
cnf(refute_10_292,plain,
( op2(op2(e21,e22),e23) != op2(e21,op2(e22,e23))
| op2(h5(e11),e23) = op2(e21,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e23),op2(h5(e11),e23)) )],[refute_10_290,refute_10_291]) ).
cnf(refute_10_293,plain,
op2(e21,op2(e22,e23)) = op2(e21,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e23)))]]) ).
cnf(refute_10_294,plain,
( op2(e21,op2(e22,e23)) != op2(e21,op2(e22,e23))
| op2(e22,e23) != e21
| op2(e21,op2(e22,e23)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e23)),op2(e21,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_295,plain,
( op2(e22,e23) != e21
| op2(e21,op2(e22,e23)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e23)),op2(e21,op2(e22,e23))) )],[refute_10_293,refute_10_294]) ).
cnf(refute_10_296,plain,
op2(e21,op2(e22,e23)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_10_9,refute_10_295]) ).
cnf(refute_10_297,plain,
( op2(e21,e21) != h1(e10)
| op2(e21,op2(e22,e23)) != op2(e21,e21)
| op2(e21,op2(e22,e23)) = h1(e10) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(e21,op2(e22,e23)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h1(e10)))]]) ).
cnf(refute_10_298,plain,
( op2(e21,e21) != h1(e10)
| op2(e21,op2(e22,e23)) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e23)),op2(e21,e21)) )],[refute_10_296,refute_10_297]) ).
cnf(refute_10_299,plain,
op2(e21,op2(e22,e23)) = h1(e10),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_10_6,refute_10_298]) ).
cnf(refute_10_300,plain,
( op2(e21,op2(e22,e23)) != h1(e10)
| op2(h5(e11),e23) != op2(e21,op2(e22,e23))
| op2(h5(e11),e23) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e23),op2(e21,op2(e22,e23))) ),[1],$fot(h1(e10))]]) ).
cnf(refute_10_301,plain,
( op2(h5(e11),e23) != op2(e21,op2(e22,e23))
| op2(h5(e11),e23) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e23)),h1(e10)) )],[refute_10_299,refute_10_300]) ).
cnf(refute_10_302,plain,
( op2(op2(e21,e22),e23) != op2(e21,op2(e22,e23))
| op2(h5(e11),e23) = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e23),op2(e21,op2(e22,e23))) )],[refute_10_292,refute_10_301]) ).
cnf(refute_10_303,plain,
op2(h5(e11),e23) = h1(e10),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e23),op2(e21,op2(e22,e23))) )],[refute_10_283,refute_10_302]) ).
cnf(refute_10_304,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_10_90]) ).
cnf(refute_10_305,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_306,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_10_304,refute_10_305]) ).
cnf(refute_10_307,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(canonicalize,[],[normalize_10_91]) ).
cnf(refute_10_308,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_10_92]) ).
cnf(refute_10_309,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_10_310,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_10_311,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_10_309,refute_10_310]) ).
cnf(refute_10_312,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_10_34,refute_10_311]) ).
cnf(refute_10_313,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_10_314,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_10_312,refute_10_313]) ).
cnf(refute_10_315,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_10_93]) ).
cnf(refute_10_316,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_10_317,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_10_315,refute_10_316]) ).
cnf(refute_10_318,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_10_319,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_10_320,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_10_318,refute_10_319]) ).
cnf(refute_10_321,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_10_9,refute_10_320]) ).
cnf(refute_10_322,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_10_323,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_10_321,refute_10_322]) ).
cnf(refute_10_324,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_10_317,refute_10_323]) ).
cnf(refute_10_325,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_10_326,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_10_324,refute_10_325]) ).
cnf(refute_10_327,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_10_314,refute_10_326]) ).
cnf(refute_10_328,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_10_308,refute_10_327]) ).
cnf(refute_10_329,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_10_330,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_331,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) )],[refute_10_329,refute_10_330]) ).
cnf(refute_10_332,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_10_57,refute_10_331]) ).
cnf(refute_10_333,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) != op2(h12(e10),e23)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h12(e10),h12(e12)))),bind(Y,$fot(op2(h12(e10),e23))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_10_334,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),e23)) )],[refute_10_332,refute_10_333]) ).
cnf(refute_10_335,plain,
op2(h12(e10),h12(e12)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_10_328,refute_10_334]) ).
cnf(refute_10_336,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) != h8(e11)
| h12(op1(e10,e12)) = h8(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),h8(e11)) ),[0],$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_10_337,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),h8(e11)) )],[refute_10_335,refute_10_336]) ).
cnf(refute_10_338,plain,
h12(op1(e10,e12)) = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),op2(h12(e10),h12(e12))) )],[refute_10_307,refute_10_337]) ).
cnf(refute_10_339,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_10_94]) ).
cnf(refute_10_340,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_10_95]) ).
cnf(refute_10_341,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_10_342,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_10_340,refute_10_341]) ).
cnf(refute_10_343,plain,
op2(op2(e21,e23),e21) = op2(op2(e21,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e21))]]) ).
cnf(refute_10_344,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e21) != op2(op2(e21,e23),e21)
| op2(op2(e21,e23),e21) = op2(h6(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_10_345,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e21) = op2(h6(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) )],[refute_10_343,refute_10_344]) ).
cnf(refute_10_346,plain,
op2(op2(e21,e23),e21) = op2(h6(e11),e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_10_342,refute_10_345]) ).
cnf(refute_10_347,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) != op2(h6(e11),e21)
| op2(h6(e11),e21) = op2(e21,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[0],$fot(op2(h6(e11),e21))]]) ).
cnf(refute_10_348,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h6(e11),e21)) )],[refute_10_346,refute_10_347]) ).
cnf(refute_10_349,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_10_350,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != h11(e11)
| op2(e21,op2(e23,e21)) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(h11(e11))]]) ).
cnf(refute_10_351,plain,
( op2(e23,e21) != h11(e11)
| op2(e21,op2(e23,e21)) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_10_349,refute_10_350]) ).
cnf(refute_10_352,plain,
op2(e21,op2(e23,e21)) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_10_23,refute_10_351]) ).
cnf(refute_10_353,plain,
( op2(e21,op2(e23,e21)) != op2(e21,h11(e11))
| op2(h6(e11),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_10_354,plain,
( op2(h6(e11),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,h11(e11))) )],[refute_10_352,refute_10_353]) ).
cnf(refute_10_355,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e21,op2(e23,e21))) )],[refute_10_348,refute_10_354]) ).
cnf(refute_10_356,plain,
op2(h6(e11),e21) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_10_339,refute_10_355]) ).
cnf(refute_10_357,plain,
op2(e21,h11(e11)) = op2(e21,h11(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_10_358,plain,
( h11(e11) != e22
| op2(e21,h11(e11)) != op2(e21,h11(e11))
| op2(e21,h11(e11)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,h11(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_359,plain,
( h11(e11) != e22
| op2(e21,h11(e11)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,h11(e11))) )],[refute_10_357,refute_10_358]) ).
cnf(refute_10_360,plain,
op2(e21,h11(e11)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_10_272,refute_10_359]) ).
cnf(refute_10_361,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h11(e11)) != op2(e21,e22)
| op2(e21,h11(e11)) = h5(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(e21,h11(e11)))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_10_362,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h11(e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,e22)) )],[refute_10_360,refute_10_361]) ).
cnf(refute_10_363,plain,
op2(e21,h11(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_10_286,refute_10_362]) ).
cnf(refute_10_364,plain,
( op2(e21,h11(e11)) != h5(e11)
| op2(h6(e11),e21) != op2(e21,h11(e11))
| op2(h6(e11),e21) = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),op2(e21,h11(e11))) ),[1],$fot(h5(e11))]]) ).
cnf(refute_10_365,plain,
( op2(h6(e11),e21) != op2(e21,h11(e11))
| op2(h6(e11),e21) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),h5(e11)) )],[refute_10_363,refute_10_364]) ).
cnf(refute_10_366,plain,
op2(h6(e11),e21) = h5(e11),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e21,h11(e11))) )],[refute_10_356,refute_10_365]) ).
cnf(refute_10_367,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(canonicalize,[],[normalize_10_96]) ).
cnf(refute_10_368,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_10_97]) ).
cnf(refute_10_369,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_10_370,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_10_368,refute_10_369]) ).
cnf(refute_10_371,plain,
op2(op2(e20,e22),e20) = op2(op2(e20,e22),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e20))]]) ).
cnf(refute_10_372,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e20) != op2(op2(e20,e22),e20)
| op2(op2(e20,e22),e20) = op2(h2(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e20),op2(op2(e20,e22),e20)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_10_373,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e20) = op2(h2(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(op2(e20,e22),e20)) )],[refute_10_371,refute_10_372]) ).
cnf(refute_10_374,plain,
op2(op2(e20,e22),e20) = op2(h2(e11),e20),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_10_370,refute_10_373]) ).
cnf(refute_10_375,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(op2(e20,e22),e20) != op2(h2(e11),e20)
| op2(h2(e11),e20) = op2(e20,op2(e22,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e20),op2(e20,op2(e22,e20))) ),[0],$fot(op2(h2(e11),e20))]]) ).
cnf(refute_10_376,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,op2(e22,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(h2(e11),e20)) )],[refute_10_374,refute_10_375]) ).
cnf(refute_10_377,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_10_98]) ).
cnf(refute_10_378,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_10_379,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_10_377,refute_10_378]) ).
cnf(refute_10_380,plain,
op2(e20,op2(e22,e20)) = op2(e20,op2(e22,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e20)))]]) ).
cnf(refute_10_381,plain,
( op2(e20,op2(e22,e20)) != op2(e20,op2(e22,e20))
| op2(e22,e20) != h7(e11)
| op2(e20,op2(e22,e20)) = op2(e20,h7(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) ),[1,1],$fot(h7(e11))]]) ).
cnf(refute_10_382,plain,
( op2(e22,e20) != h7(e11)
| op2(e20,op2(e22,e20)) = op2(e20,h7(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) )],[refute_10_380,refute_10_381]) ).
cnf(refute_10_383,plain,
op2(e20,op2(e22,e20)) = op2(e20,h7(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_10_379,refute_10_382]) ).
cnf(refute_10_384,plain,
( op2(e20,op2(e22,e20)) != op2(e20,h7(e11))
| op2(h2(e11),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,h7(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),op2(e20,op2(e22,e20))) ),[1],$fot(op2(e20,h7(e11)))]]) ).
cnf(refute_10_385,plain,
( op2(h2(e11),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,h7(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,h7(e11))) )],[refute_10_383,refute_10_384]) ).
cnf(refute_10_386,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,h7(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(e20,op2(e22,e20))) )],[refute_10_376,refute_10_385]) ).
cnf(refute_10_387,plain,
op2(h2(e11),e20) = op2(e20,h7(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(e20,op2(e22,e20))) )],[refute_10_367,refute_10_386]) ).
cnf(refute_10_388,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_10_99]) ).
cnf(refute_10_389,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_10_390,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_391,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_10_389,refute_10_390]) ).
cnf(refute_10_392,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_10_9,refute_10_391]) ).
cnf(refute_10_393,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_10_394,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_10_392,refute_10_393]) ).
cnf(refute_10_395,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_10_342,refute_10_394]) ).
cnf(refute_10_396,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_10_397,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_10_395,refute_10_396]) ).
cnf(refute_10_398,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_10_399,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_10_400,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_10_398,refute_10_399]) ).
cnf(refute_10_401,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_306,refute_10_400]) ).
cnf(refute_10_402,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_10_403,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_10_401,refute_10_402]) ).
cnf(refute_10_404,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_10_379,refute_10_403]) ).
cnf(refute_10_405,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_10_406,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_10_404,refute_10_405]) ).
cnf(refute_10_407,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_10_397,refute_10_406]) ).
cnf(refute_10_408,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_10_388,refute_10_407]) ).
cnf(refute_10_409,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_10_410,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_10_408,refute_10_409]) ).
cnf(refute_10_411,plain,
op2(e20,h7(e11)) = op2(e20,h7(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h7(e11)))]]) ).
cnf(refute_10_412,plain,
( h7(e11) != h6(e11)
| op2(e20,h7(e11)) != op2(e20,h7(e11))
| op2(e20,h7(e11)) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h7(e11)),op2(e20,h7(e11))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_10_413,plain,
( h7(e11) != h6(e11)
| op2(e20,h7(e11)) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h7(e11)),op2(e20,h7(e11))) )],[refute_10_411,refute_10_412]) ).
cnf(refute_10_414,plain,
op2(e20,h7(e11)) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_10_410,refute_10_413]) ).
cnf(refute_10_415,plain,
( op2(e20,h7(e11)) != op2(e20,h6(e11))
| op2(h2(e11),e20) != op2(e20,h7(e11))
| op2(h2(e11),e20) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h7(e11))) ),[1],$fot(op2(e20,h6(e11)))]]) ).
cnf(refute_10_416,plain,
( op2(h2(e11),e20) != op2(e20,h7(e11))
| op2(h2(e11),e20) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h7(e11)),op2(e20,h6(e11))) )],[refute_10_414,refute_10_415]) ).
cnf(refute_10_417,plain,
op2(h2(e11),e20) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h7(e11))) )],[refute_10_387,refute_10_416]) ).
cnf(refute_10_418,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_10_419,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_10_410,refute_10_418]) ).
cnf(refute_10_420,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_10_377,refute_10_419]) ).
cnf(refute_10_421,plain,
( h6(e11) != op2(e22,e20)
| op2(e22,e20) = h6(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_10_422,plain,
op2(e22,e20) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_10_420,refute_10_421]) ).
cnf(refute_10_423,plain,
h12(op1(e12,e11)) = op2(h12(e12),h12(e11)),
inference(canonicalize,[],[normalize_10_100]) ).
cnf(refute_10_424,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_10_101]) ).
cnf(refute_10_425,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_10_426,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_427,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_10_425,refute_10_426]) ).
cnf(refute_10_428,plain,
op2(op2(e23,e23),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_306,refute_10_427]) ).
cnf(refute_10_429,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e23,e23),e22) != op2(e20,e22)
| op2(op2(e23,e23),e22) = h2(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_10_430,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e23,e23),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e20,e22)) )],[refute_10_428,refute_10_429]) ).
cnf(refute_10_431,plain,
op2(op2(e23,e23),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_10_370,refute_10_430]) ).
cnf(refute_10_432,plain,
( op2(op2(e23,e23),e22) != h2(e11)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_10_433,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),h2(e11)) )],[refute_10_431,refute_10_432]) ).
cnf(refute_10_434,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_10_435,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(h12(e11))]]) ).
cnf(refute_10_436,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,op2(e23,e22)) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_10_434,refute_10_435]) ).
cnf(refute_10_437,plain,
op2(e23,op2(e23,e22)) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_10_39,refute_10_436]) ).
cnf(refute_10_438,plain,
( h2(e11) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,h12(e11))
| h2(e11) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,h12(e11))) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_10_439,plain,
( h2(e11) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,h12(e11))) )],[refute_10_437,refute_10_438]) ).
cnf(refute_10_440,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,op2(e23,e22))) )],[refute_10_433,refute_10_439]) ).
cnf(refute_10_441,plain,
h2(e11) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_10_424,refute_10_440]) ).
cnf(refute_10_442,plain,
( h2(e11) != op2(e23,h12(e11))
| op2(e23,h12(e11)) = h2(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e23,h12(e11))))]]) ).
cnf(refute_10_443,plain,
op2(e23,h12(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h12(e11))) )],[refute_10_441,refute_10_442]) ).
cnf(refute_10_444,plain,
op2(h12(e12),h12(e11)) = op2(h12(e12),h12(e11)),
introduced(tautology,[refl,[$fot(op2(h12(e12),h12(e11)))]]) ).
cnf(refute_10_445,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e11)) != op2(h12(e12),h12(e11))
| op2(h12(e12),h12(e11)) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(h12(e12),h12(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_446,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e11)) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(h12(e12),h12(e11))) )],[refute_10_444,refute_10_445]) ).
cnf(refute_10_447,plain,
op2(h12(e12),h12(e11)) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_10_57,refute_10_446]) ).
cnf(refute_10_448,plain,
( op2(e23,h12(e11)) != h2(e11)
| op2(h12(e12),h12(e11)) != op2(e23,h12(e11))
| op2(h12(e12),h12(e11)) = h2(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h12(e12),h12(e11)))),bind(Y,$fot(op2(e23,h12(e11)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_10_449,plain,
( op2(e23,h12(e11)) != h2(e11)
| op2(h12(e12),h12(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(e23,h12(e11))) )],[refute_10_447,refute_10_448]) ).
cnf(refute_10_450,plain,
op2(h12(e12),h12(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e23,h12(e11)),h2(e11)) )],[refute_10_443,refute_10_449]) ).
cnf(refute_10_451,plain,
( h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| op2(h12(e12),h12(e11)) != h2(e11)
| h12(op1(e12,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e12,e11)),h2(e11)) ),[0],$fot(op2(h12(e12),h12(e11)))]]) ).
cnf(refute_10_452,plain,
( h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),h2(e11)) )],[refute_10_450,refute_10_451]) ).
cnf(refute_10_453,plain,
h12(op1(e12,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),op2(h12(e12),h12(e11))) )],[refute_10_423,refute_10_452]) ).
cnf(refute_10_454,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_10_102]) ).
cnf(refute_10_455,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_10_456,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_10_457,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_10_455,refute_10_456]) ).
cnf(refute_10_458,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_76,refute_10_457]) ).
cnf(refute_10_459,plain,
( op1(e12,op1(e12,e13)) != op1(e12,e11)
| op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_10_460,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_10_458,refute_10_459]) ).
cnf(refute_10_461,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_10_454,refute_10_460]) ).
cnf(refute_10_462,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_10_463,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_464,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_10_462,refute_10_463]) ).
cnf(refute_10_465,plain,
op1(op1(e12,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_138,refute_10_464]) ).
cnf(refute_10_466,plain,
( op1(op1(e12,e12),e13) != op1(e10,e13)
| op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_10_467,plain,
( op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e10,e13)) )],[refute_10_465,refute_10_466]) ).
cnf(refute_10_468,plain,
op1(e10,e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) )],[refute_10_461,refute_10_467]) ).
cnf(refute_10_469,plain,
( op1(e10,e13) != op1(e12,e11)
| op1(e12,e11) = op1(e10,e13) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_10_470,plain,
op1(e12,e11) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e11)) )],[refute_10_468,refute_10_469]) ).
cnf(refute_10_471,plain,
h12(op1(e12,e11)) = h12(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h12(op1(e12,e11)))]]) ).
cnf(refute_10_472,plain,
( h12(op1(e12,e11)) != h12(op1(e12,e11))
| op1(e12,e11) != op1(e10,e13)
| h12(op1(e12,e11)) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e12,e11))) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_10_473,plain,
( op1(e12,e11) != op1(e10,e13)
| h12(op1(e12,e11)) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e12,e11))) )],[refute_10_471,refute_10_472]) ).
cnf(refute_10_474,plain,
h12(op1(e12,e11)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e13)) )],[refute_10_470,refute_10_473]) ).
cnf(refute_10_475,plain,
( h12(op1(e12,e11)) != h12(op1(e10,e13))
| h12(op1(e12,e11)) != h2(e11)
| h12(op1(e10,e13)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e11)),h2(e11)) ),[0],$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_10_476,plain,
( h12(op1(e12,e11)) != h2(e11)
| h12(op1(e10,e13)) = h2(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e10,e13))) )],[refute_10_474,refute_10_475]) ).
cnf(refute_10_477,plain,
h12(op1(e10,e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h2(e11)) )],[refute_10_453,refute_10_476]) ).
cnf(refute_10_478,plain,
( h12(op1(e10,e13)) != h2(e11)
| op1(e10,e13) != e13
| h12(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_10_479,plain,
( h12(op1(e10,e13)) != h2(e11)
| h12(e13) = h2(e11)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_222,refute_10_478]) ).
cnf(refute_10_480,plain,
( h12(e13) = h2(e11)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) )],[refute_10_477,refute_10_479]) ).
cnf(refute_10_481,plain,
( h12(e13) != e22
| h12(e13) != h2(e11)
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(e13),h2(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_10_482,plain,
( h12(e13) != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_10_68,refute_10_481]) ).
cnf(refute_10_483,plain,
( e22 = h2(e11)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(h12(e13),h2(e11)) )],[refute_10_480,refute_10_482]) ).
cnf(refute_10_484,plain,
( e13 = e12
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_10_483,refute_10_245]) ).
cnf(refute_10_485,plain,
e22 = h2(e11),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_10_484,refute_10_249]) ).
cnf(refute_10_486,plain,
( e22 != h2(e11)
| h2(e11) = e22 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e22)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_10_487,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_10_485,refute_10_486]) ).
cnf(refute_10_488,plain,
op2(h2(e11),e20) = op2(h2(e11),e20),
introduced(tautology,[refl,[$fot(op2(h2(e11),e20))]]) ).
cnf(refute_10_489,plain,
( h2(e11) != e22
| op2(h2(e11),e20) != op2(h2(e11),e20)
| op2(h2(e11),e20) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),op2(h2(e11),e20)) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_490,plain,
( h2(e11) != e22
| op2(h2(e11),e20) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(h2(e11),e20)) )],[refute_10_488,refute_10_489]) ).
cnf(refute_10_491,plain,
op2(h2(e11),e20) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_10_487,refute_10_490]) ).
cnf(refute_10_492,plain,
( op2(e22,e20) != h6(e11)
| op2(h2(e11),e20) != op2(e22,e20)
| op2(h2(e11),e20) = h6(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h2(e11),e20))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_10_493,plain,
( op2(e22,e20) != h6(e11)
| op2(h2(e11),e20) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(e22,e20)) )],[refute_10_491,refute_10_492]) ).
cnf(refute_10_494,plain,
op2(h2(e11),e20) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_10_422,refute_10_493]) ).
cnf(refute_10_495,plain,
( op2(h2(e11),e20) != h6(e11)
| op2(h2(e11),e20) != op2(e20,h6(e11))
| h6(e11) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h6(e11))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_10_496,plain,
( op2(h2(e11),e20) != op2(e20,h6(e11))
| h6(e11) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),h6(e11)) )],[refute_10_494,refute_10_495]) ).
cnf(refute_10_497,plain,
( h11(e11) != e22
| op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),e23) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e23),h11(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_10_498,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),e23) = e22 ),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_10_272,refute_10_497]) ).
cnf(refute_10_499,plain,
op2(h12(e11),e23) = e22,
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),h11(e11)) )],[refute_10_56,refute_10_498]) ).
cnf(refute_10_500,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(canonicalize,[],[normalize_10_103]) ).
cnf(refute_10_501,plain,
h1(e11) = op2(e20,e21),
inference(canonicalize,[],[normalize_10_104]) ).
cnf(refute_10_502,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_10_503,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_10_501,refute_10_502]) ).
cnf(refute_10_504,plain,
op2(op2(e20,e21),e23) = op2(op2(e20,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e21),e23))]]) ).
cnf(refute_10_505,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e23) != op2(op2(e20,e21),e23)
| op2(op2(e20,e21),e23) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(op2(e20,e21),e23)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_10_506,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e23) = op2(h1(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(op2(e20,e21),e23)) )],[refute_10_504,refute_10_505]) ).
cnf(refute_10_507,plain,
op2(op2(e20,e21),e23) = op2(h1(e11),e23),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_10_503,refute_10_506]) ).
cnf(refute_10_508,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(op2(e20,e21),e23) != op2(h1(e11),e23)
| op2(h1(e11),e23) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) ),[0],$fot(op2(h1(e11),e23))]]) ).
cnf(refute_10_509,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(h1(e11),e23)) )],[refute_10_507,refute_10_508]) ).
cnf(refute_10_510,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_10_511,plain,
( op2(e20,op2(e21,e23)) != op2(e20,op2(e21,e23))
| op2(e21,e23) != h6(e11)
| op2(e20,op2(e21,e23)) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_10_512,plain,
( op2(e21,e23) != h6(e11)
| op2(e20,op2(e21,e23)) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) )],[refute_10_510,refute_10_511]) ).
cnf(refute_10_513,plain,
op2(e20,op2(e21,e23)) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_10_342,refute_10_512]) ).
cnf(refute_10_514,plain,
( op2(e20,op2(e21,e23)) != op2(e20,h6(e11))
| op2(h1(e11),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e23),op2(e20,op2(e21,e23))) ),[1],$fot(op2(e20,h6(e11)))]]) ).
cnf(refute_10_515,plain,
( op2(h1(e11),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,h6(e11))) )],[refute_10_513,refute_10_514]) ).
cnf(refute_10_516,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e23),op2(e20,op2(e21,e23))) )],[refute_10_509,refute_10_515]) ).
cnf(refute_10_517,plain,
op2(h1(e11),e23) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) )],[refute_10_500,refute_10_516]) ).
cnf(refute_10_518,plain,
op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21)),
inference(canonicalize,[],[normalize_10_105]) ).
cnf(refute_10_519,plain,
op2(op2(e23,e23),e21) = op2(op2(e23,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e21))]]) ).
cnf(refute_10_520,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e21) != op2(op2(e23,e23),e21)
| op2(op2(e23,e23),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e21),op2(op2(e23,e23),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_10_521,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e21),op2(op2(e23,e23),e21)) )],[refute_10_519,refute_10_520]) ).
cnf(refute_10_522,plain,
op2(op2(e23,e23),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_306,refute_10_521]) ).
cnf(refute_10_523,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e23,e23),e21) != op2(e20,e21)
| op2(op2(e23,e23),e21) = h1(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(op2(e23,e23),e21))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_10_524,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e23,e23),e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e21),op2(e20,e21)) )],[refute_10_522,refute_10_523]) ).
cnf(refute_10_525,plain,
op2(op2(e23,e23),e21) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_10_503,refute_10_524]) ).
cnf(refute_10_526,plain,
( op2(op2(e23,e23),e21) != h1(e11)
| op2(op2(e23,e23),e21) != op2(e23,op2(e23,e21))
| h1(e11) = op2(e23,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e21),op2(e23,op2(e23,e21))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_10_527,plain,
( op2(op2(e23,e23),e21) != op2(e23,op2(e23,e21))
| h1(e11) = op2(e23,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e21),h1(e11)) )],[refute_10_525,refute_10_526]) ).
cnf(refute_10_528,plain,
op2(e23,op2(e23,e21)) = op2(e23,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e21)))]]) ).
cnf(refute_10_529,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e23,e21)) != op2(e23,op2(e23,e21))
| op2(e23,op2(e23,e21)) = op2(e23,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e21)),op2(e23,op2(e23,e21))) ),[1,1],$fot(h11(e11))]]) ).
cnf(refute_10_530,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e23,e21)) = op2(e23,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),op2(e23,op2(e23,e21))) )],[refute_10_528,refute_10_529]) ).
cnf(refute_10_531,plain,
op2(e23,op2(e23,e21)) = op2(e23,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_10_23,refute_10_530]) ).
cnf(refute_10_532,plain,
( h1(e11) != op2(e23,op2(e23,e21))
| op2(e23,op2(e23,e21)) != op2(e23,h11(e11))
| h1(e11) = op2(e23,h11(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e23,h11(e11))) ),[0],$fot(op2(e23,op2(e23,e21)))]]) ).
cnf(refute_10_533,plain,
( h1(e11) != op2(e23,op2(e23,e21))
| h1(e11) = op2(e23,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e21)),op2(e23,h11(e11))) )],[refute_10_531,refute_10_532]) ).
cnf(refute_10_534,plain,
( op2(op2(e23,e23),e21) != op2(e23,op2(e23,e21))
| h1(e11) = op2(e23,h11(e11)) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,op2(e23,e21))) )],[refute_10_527,refute_10_533]) ).
cnf(refute_10_535,plain,
h1(e11) = op2(e23,h11(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e21),op2(e23,op2(e23,e21))) )],[refute_10_518,refute_10_534]) ).
cnf(refute_10_536,plain,
op2(e23,h11(e11)) = op2(e23,h11(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h11(e11)))]]) ).
cnf(refute_10_537,plain,
( h11(e11) != e22
| op2(e23,h11(e11)) != op2(e23,h11(e11))
| op2(e23,h11(e11)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h11(e11)),op2(e23,h11(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_10_538,plain,
( h11(e11) != e22
| op2(e23,h11(e11)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h11(e11)),op2(e23,h11(e11))) )],[refute_10_536,refute_10_537]) ).
cnf(refute_10_539,plain,
op2(e23,h11(e11)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_10_272,refute_10_538]) ).
cnf(refute_10_540,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,h11(e11)) != op2(e23,e22)
| op2(e23,h11(e11)) = h12(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(e23,h11(e11)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_10_541,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,h11(e11)) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,h11(e11)),op2(e23,e22)) )],[refute_10_539,refute_10_540]) ).
cnf(refute_10_542,plain,
op2(e23,h11(e11)) = h12(e11),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_10_39,refute_10_541]) ).
cnf(refute_10_543,plain,
( h1(e11) != op2(e23,h11(e11))
| op2(e23,h11(e11)) != h12(e11)
| h1(e11) = h12(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h12(e11)) ),[0],$fot(op2(e23,h11(e11)))]]) ).
cnf(refute_10_544,plain,
( h1(e11) != op2(e23,h11(e11))
| h1(e11) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,h11(e11)),h12(e11)) )],[refute_10_542,refute_10_543]) ).
cnf(refute_10_545,plain,
h1(e11) = h12(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e23,h11(e11))) )],[refute_10_535,refute_10_544]) ).
cnf(refute_10_546,plain,
( h1(e11) != h12(e11)
| h12(e11) = h1(e11) ),
inference(subst,[],[refute_10_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(h12(e11)))]]) ).
cnf(refute_10_547,plain,
h12(e11) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h12(e11)) )],[refute_10_545,refute_10_546]) ).
cnf(refute_10_548,plain,
op2(h12(e11),e23) = op2(h12(e11),e23),
introduced(tautology,[refl,[$fot(op2(h12(e11),e23))]]) ).
cnf(refute_10_549,plain,
( h12(e11) != h1(e11)
| op2(h12(e11),e23) != op2(h12(e11),e23)
| op2(h12(e11),e23) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e23),op2(h12(e11),e23)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_10_550,plain,
( h12(e11) != h1(e11)
| op2(h12(e11),e23) = op2(h1(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),op2(h12(e11),e23)) )],[refute_10_548,refute_10_549]) ).
cnf(refute_10_551,plain,
op2(h12(e11),e23) = op2(h1(e11),e23),
inference(resolve,[$cnf( $equal(h12(e11),h1(e11)) )],[refute_10_547,refute_10_550]) ).
cnf(refute_10_552,plain,
( op2(h1(e11),e23) != op2(e20,h6(e11))
| op2(h12(e11),e23) != op2(h1(e11),e23)
| op2(h12(e11),e23) = op2(e20,h6(e11)) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h12(e11),e23))),bind(Y,$fot(op2(h1(e11),e23))),bind(Z,$fot(op2(e20,h6(e11))))]]) ).
cnf(refute_10_553,plain,
( op2(h1(e11),e23) != op2(e20,h6(e11))
| op2(h12(e11),e23) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),op2(h1(e11),e23)) )],[refute_10_551,refute_10_552]) ).
cnf(refute_10_554,plain,
op2(h12(e11),e23) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),e23),op2(e20,h6(e11))) )],[refute_10_517,refute_10_553]) ).
cnf(refute_10_555,plain,
( op2(h12(e11),e23) != e22
| op2(h12(e11),e23) != op2(e20,h6(e11))
| op2(e20,h6(e11)) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e23),e22) ),[0],$fot(op2(e20,h6(e11)))]]) ).
cnf(refute_10_556,plain,
( op2(h12(e11),e23) != e22
| op2(e20,h6(e11)) = e22 ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),op2(e20,h6(e11))) )],[refute_10_554,refute_10_555]) ).
cnf(refute_10_557,plain,
op2(e20,h6(e11)) = e22,
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),e22) )],[refute_10_499,refute_10_556]) ).
cnf(refute_10_558,plain,
( h6(e11) != op2(e20,h6(e11))
| op2(e20,h6(e11)) != e22
| h6(e11) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),e22) ),[0],$fot(op2(e20,h6(e11)))]]) ).
cnf(refute_10_559,plain,
( h6(e11) != op2(e20,h6(e11))
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,h6(e11)),e22) )],[refute_10_557,refute_10_558]) ).
cnf(refute_10_560,plain,
( op2(h2(e11),e20) != op2(e20,h6(e11))
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e20,h6(e11))) )],[refute_10_496,refute_10_559]) ).
cnf(refute_10_561,plain,
h6(e11) = e22,
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h6(e11))) )],[refute_10_417,refute_10_560]) ).
cnf(refute_10_562,plain,
op2(h6(e11),e21) = op2(h6(e11),e21),
introduced(tautology,[refl,[$fot(op2(h6(e11),e21))]]) ).
cnf(refute_10_563,plain,
( h6(e11) != e22
| op2(h6(e11),e21) != op2(h6(e11),e21)
| op2(h6(e11),e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),op2(h6(e11),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_10_564,plain,
( h6(e11) != e22
| op2(h6(e11),e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(h6(e11),e21)) )],[refute_10_562,refute_10_563]) ).
cnf(refute_10_565,plain,
op2(h6(e11),e21) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_10_561,refute_10_564]) ).
cnf(refute_10_566,plain,
( op2(e22,e21) != h8(e11)
| op2(h6(e11),e21) != op2(e22,e21)
| op2(h6(e11),e21) = h8(e11) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h6(e11),e21))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_10_567,plain,
( op2(e22,e21) != h8(e11)
| op2(h6(e11),e21) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e22,e21)) )],[refute_10_565,refute_10_566]) ).
cnf(refute_10_568,plain,
op2(h6(e11),e21) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_10_317,refute_10_567]) ).
cnf(refute_10_569,plain,
( op2(h6(e11),e21) != h5(e11)
| op2(h6(e11),e21) != h8(e11)
| h8(e11) = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),h5(e11)) ),[0],$fot(h8(e11))]]) ).
cnf(refute_10_570,plain,
( op2(h6(e11),e21) != h5(e11)
| h8(e11) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),h8(e11)) )],[refute_10_568,refute_10_569]) ).
cnf(refute_10_571,plain,
h8(e11) = h5(e11),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),h5(e11)) )],[refute_10_366,refute_10_570]) ).
cnf(refute_10_572,plain,
( h12(op1(e10,e12)) != h8(e11)
| h8(e11) != h5(e11)
| h12(op1(e10,e12)) = h5(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),h5(e11)) ),[0],$fot(h8(e11))]]) ).
cnf(refute_10_573,plain,
( h12(op1(e10,e12)) != h8(e11)
| h12(op1(e10,e12)) = h5(e11) ),
inference(resolve,[$cnf( $equal(h8(e11),h5(e11)) )],[refute_10_571,refute_10_572]) ).
cnf(refute_10_574,plain,
h12(op1(e10,e12)) = h5(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) )],[refute_10_338,refute_10_573]) ).
cnf(refute_10_575,plain,
( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(canonicalize,[],[normalize_10_106]) ).
cnf(refute_10_576,plain,
op1(e11,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_10_107]) ).
cnf(refute_10_577,plain,
( op1(e11,e13) != e10
| op1(e13,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_10_578,plain,
( op1(e11,e13) != e10
| op1(e11,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_10_84,refute_10_577]) ).
cnf(refute_10_579,plain,
op1(e11,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e13)) )],[refute_10_578,refute_10_576]) ).
cnf(refute_10_580,plain,
( op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e10) )],[refute_10_575,refute_10_579]) ).
cnf(refute_10_581,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_10_108]) ).
cnf(refute_10_582,plain,
( op1(e11,e13) != e11
| op1(e12,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_10_583,plain,
( op1(e11,e13) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_10_76,refute_10_582]) ).
cnf(refute_10_584,plain,
op1(e11,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_10_583,refute_10_581]) ).
cnf(refute_10_585,plain,
( op1(e11,e13) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e11) )],[refute_10_580,refute_10_584]) ).
cnf(refute_10_586,plain,
( op1(e11,e13) != e12
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_10_587,plain,
( op1(e11,e13) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_10_174,refute_10_586]) ).
cnf(refute_10_588,plain,
( op1(e10,e12) = e12
| op1(e11,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_10_585,refute_10_587]) ).
cnf(refute_10_589,plain,
( op1(e11,e13) != e13
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_10_590,plain,
( op1(e11,e13) != e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_10_174,refute_10_589]) ).
cnf(refute_10_591,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_10_588,refute_10_590]) ).
cnf(refute_10_592,plain,
op1(e10,e12) != op1(e10,e13),
inference(canonicalize,[],[normalize_10_109]) ).
cnf(refute_10_593,plain,
( op1(e10,e12) != e13
| op1(e10,e13) != e13
| op1(e10,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_10_594,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_10_243,refute_10_593]) ).
cnf(refute_10_595,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e10,e13)) )],[refute_10_594,refute_10_592]) ).
cnf(refute_10_596,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_10_591,refute_10_595]) ).
cnf(refute_10_597,plain,
h12(op1(e10,e12)) = h12(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e12)))]]) ).
cnf(refute_10_598,plain,
( h12(op1(e10,e12)) != h12(op1(e10,e12))
| op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_10_599,plain,
( op1(e10,e12) != e12
| h12(op1(e10,e12)) = h12(e12) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(op1(e10,e12))) )],[refute_10_597,refute_10_598]) ).
cnf(refute_10_600,plain,
h12(op1(e10,e12)) = h12(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_10_596,refute_10_599]) ).
cnf(refute_10_601,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) != h12(e12)
| h12(op1(e10,e12)) = e23 ),
inference(subst,[],[refute_10_15:[bind(X,$fot(h12(op1(e10,e12)))),bind(Y,$fot(h12(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_10_602,plain,
( h12(e12) != e23
| h12(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h12(e12)) )],[refute_10_600,refute_10_601]) ).
cnf(refute_10_603,plain,
h12(op1(e10,e12)) = e23,
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_10_57,refute_10_602]) ).
cnf(refute_10_604,plain,
( h12(op1(e10,e12)) != e23
| h12(op1(e10,e12)) != h5(e11)
| e23 = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e12)),h5(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_10_605,plain,
( h12(op1(e10,e12)) != h5(e11)
| e23 = h5(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),e23) )],[refute_10_603,refute_10_604]) ).
cnf(refute_10_606,plain,
e23 = h5(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h5(e11)) )],[refute_10_574,refute_10_605]) ).
cnf(refute_10_607,plain,
( e23 != h5(e11)
| h5(e11) = e23 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e23)),bind(Y,$fot(h5(e11)))]]) ).
cnf(refute_10_608,plain,
h5(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h5(e11)) )],[refute_10_606,refute_10_607]) ).
cnf(refute_10_609,plain,
op2(h5(e11),e23) = op2(h5(e11),e23),
introduced(tautology,[refl,[$fot(op2(h5(e11),e23))]]) ).
cnf(refute_10_610,plain,
( h5(e11) != e23
| op2(h5(e11),e23) != op2(h5(e11),e23)
| op2(h5(e11),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e23),op2(h5(e11),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_611,plain,
( h5(e11) != e23
| op2(h5(e11),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e23),op2(h5(e11),e23)) )],[refute_10_609,refute_10_610]) ).
cnf(refute_10_612,plain,
op2(h5(e11),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h5(e11),e23) )],[refute_10_608,refute_10_611]) ).
cnf(refute_10_613,plain,
( op2(e23,e23) != e20
| op2(h5(e11),e23) != op2(e23,e23)
| op2(h5(e11),e23) = e20 ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h5(e11),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_10_614,plain,
( op2(e23,e23) != e20
| op2(h5(e11),e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e23),op2(e23,e23)) )],[refute_10_612,refute_10_613]) ).
cnf(refute_10_615,plain,
op2(h5(e11),e23) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_306,refute_10_614]) ).
cnf(refute_10_616,plain,
( op2(h5(e11),e23) != e20
| op2(h5(e11),e23) != h1(e10)
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e23),h1(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_10_617,plain,
( op2(h5(e11),e23) != h1(e10)
| e20 = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e23),e20) )],[refute_10_615,refute_10_616]) ).
cnf(refute_10_618,plain,
e20 = h1(e10),
inference(resolve,[$cnf( $equal(op2(h5(e11),e23),h1(e10)) )],[refute_10_303,refute_10_617]) ).
cnf(refute_10_619,plain,
( e20 != h1(e10)
| h1(e10) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_10_620,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_10_618,refute_10_619]) ).
cnf(refute_10_621,plain,
( h1(e10) != e20
| h1(e10) != h12(e10)
| e20 = h12(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),h12(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_10_622,plain,
( h1(e10) != h12(e10)
| e20 = h12(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_10_620,refute_10_621]) ).
cnf(refute_10_623,plain,
e20 = h12(e10),
inference(resolve,[$cnf( $equal(h1(e10),h12(e10)) )],[refute_10_282,refute_10_622]) ).
cnf(refute_10_624,plain,
h12(op1(e12,e12)) != op2(h12(e12),h12(e12)),
inference(canonicalize,[],[normalize_10_110]) ).
cnf(refute_10_625,plain,
op2(e23,h12(e12)) = op2(e23,h12(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h12(e12)))]]) ).
cnf(refute_10_626,plain,
( h12(e12) != e23
| op2(e23,h12(e12)) != op2(e23,h12(e12))
| op2(e23,h12(e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h12(e12)),op2(e23,h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_627,plain,
( h12(e12) != e23
| op2(e23,h12(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h12(e12)),op2(e23,h12(e12))) )],[refute_10_625,refute_10_626]) ).
cnf(refute_10_628,plain,
op2(e23,h12(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_10_57,refute_10_627]) ).
cnf(refute_10_629,plain,
op2(h12(e12),h12(e12)) = op2(h12(e12),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e12),h12(e12)))]]) ).
cnf(refute_10_630,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e12)) != op2(h12(e12),h12(e12))
| op2(h12(e12),h12(e12)) = op2(e23,h12(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(h12(e12),h12(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_631,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e12)) = op2(e23,h12(e12)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(h12(e12),h12(e12))) )],[refute_10_629,refute_10_630]) ).
cnf(refute_10_632,plain,
op2(h12(e12),h12(e12)) = op2(e23,h12(e12)),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_10_57,refute_10_631]) ).
cnf(refute_10_633,plain,
( op2(e23,h12(e12)) != op2(e23,e23)
| op2(h12(e12),h12(e12)) != op2(e23,h12(e12))
| op2(h12(e12),h12(e12)) = op2(e23,e23) ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h12(e12),h12(e12)))),bind(Y,$fot(op2(e23,h12(e12)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_634,plain,
( op2(e23,h12(e12)) != op2(e23,e23)
| op2(h12(e12),h12(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(e23,h12(e12))) )],[refute_10_632,refute_10_633]) ).
cnf(refute_10_635,plain,
op2(h12(e12),h12(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h12(e12)),op2(e23,e23)) )],[refute_10_628,refute_10_634]) ).
cnf(refute_10_636,plain,
( op2(e23,e23) != e20
| op2(h12(e12),h12(e12)) != op2(e23,e23)
| op2(h12(e12),h12(e12)) = e20 ),
inference(subst,[],[refute_10_15:[bind(X,$fot(op2(h12(e12),h12(e12)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_10_637,plain,
( op2(e23,e23) != e20
| op2(h12(e12),h12(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(e23,e23)) )],[refute_10_635,refute_10_636]) ).
cnf(refute_10_638,plain,
op2(h12(e12),h12(e12)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_306,refute_10_637]) ).
cnf(refute_10_639,plain,
( h12(op1(e12,e12)) != e20
| op2(h12(e12),h12(e12)) != e20
| h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e12,e12)),op2(h12(e12),h12(e12))) ),[1],$fot(e20)]]) ).
cnf(refute_10_640,plain,
( h12(op1(e12,e12)) != e20
| h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),e20) )],[refute_10_638,refute_10_639]) ).
cnf(refute_10_641,plain,
h12(op1(e12,e12)) != e20,
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),op2(h12(e12),h12(e12))) )],[refute_10_640,refute_10_624]) ).
cnf(refute_10_642,plain,
h12(op1(e12,e12)) = h12(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e12,e12)))]]) ).
cnf(refute_10_643,plain,
( h12(op1(e12,e12)) != h12(op1(e12,e12))
| op1(e12,e12) != e10
| h12(op1(e12,e12)) = h12(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e12)),h12(op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_10_644,plain,
( op1(e12,e12) != e10
| h12(op1(e12,e12)) = h12(e10) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),h12(op1(e12,e12))) )],[refute_10_642,refute_10_643]) ).
cnf(refute_10_645,plain,
h12(op1(e12,e12)) = h12(e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_10_138,refute_10_644]) ).
cnf(refute_10_646,plain,
( h12(e10) != e20
| h12(op1(e12,e12)) != h12(e10)
| h12(op1(e12,e12)) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e12)),h12(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_10_647,plain,
( h12(e10) != e20
| h12(op1(e12,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),h12(e10)) )],[refute_10_645,refute_10_646]) ).
cnf(refute_10_648,plain,
h12(e10) != e20,
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),e20) )],[refute_10_647,refute_10_641]) ).
cnf(refute_10_649,plain,
( e20 != h12(e10)
| h12(e10) = e20 ),
inference(subst,[],[refute_10_4:[bind(X,$fot(e20)),bind(Y,$fot(h12(e10)))]]) ).
cnf(refute_10_650,plain,
e20 != h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_10_649,refute_10_648]) ).
cnf(refute_10_651,plain,
$false,
inference(resolve,[$cnf( $equal(e20,h12(e10)) )],[refute_10_623,refute_10_650]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12)) )
=> h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_11_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_11_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_11_4]) ).
fof(normalize_11_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_11_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_11_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_11_10]) ).
fof(normalize_11_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_11_10]) ).
fof(normalize_11_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_11_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_11_13]) ).
fof(normalize_11_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_11_13]) ).
fof(normalize_11_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_11_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_11_16]) ).
fof(normalize_11_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_11_16]) ).
fof(normalize_11_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_11_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_11_19]) ).
fof(normalize_11_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_11_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_11_22]) ).
fof(normalize_11_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_11_22]) ).
fof(normalize_11_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_11_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_11_25]) ).
fof(normalize_11_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_11_25]) ).
fof(normalize_11_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_11_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_11_28]) ).
fof(normalize_11_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_11_28]) ).
fof(normalize_11_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_11_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_11_31]) ).
fof(normalize_11_34,plain,
( h12(op1(e12,e13)) != op2(h12(e12),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_11_0,normalize_11_2,normalize_11_3,normalize_11_5,normalize_11_6,normalize_11_8,normalize_11_9,normalize_11_11,normalize_11_12,normalize_11_14,normalize_11_15,normalize_11_17,normalize_11_18,normalize_11_20,normalize_11_21,normalize_11_23,normalize_11_24,normalize_11_26,normalize_11_27,normalize_11_29,normalize_11_30,normalize_11_32,normalize_11_33]) ).
fof(normalize_11_35,plain,
h12(op1(e12,e13)) != op2(h12(e12),h12(e13)),
inference(conjunct,[],[normalize_11_34]) ).
fof(normalize_11_36,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_11_37,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_11_36]) ).
fof(normalize_11_38,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_11_39,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_11_38]) ).
fof(normalize_11_40,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_11_38]) ).
fof(normalize_11_41,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_11_38]) ).
cnf(refute_11_0,plain,
h12(op1(e12,e13)) != op2(h12(e12),h12(e13)),
inference(canonicalize,[],[normalize_11_35]) ).
cnf(refute_11_1,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_11_37]) ).
cnf(refute_11_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_2,refute_11_3]) ).
cnf(refute_11_5,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_11_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_11_6,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_11_1,refute_11_5]) ).
cnf(refute_11_7,plain,
h12(op1(e12,e13)) = h12(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h12(op1(e12,e13)))]]) ).
cnf(refute_11_8,plain,
( h12(op1(e12,e13)) != h12(op1(e12,e13))
| op1(e12,e13) != e11
| h12(op1(e12,e13)) = h12(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e13)),h12(op1(e12,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_11_9,plain,
( op1(e12,e13) != e11
| h12(op1(e12,e13)) = h12(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e13)),h12(op1(e12,e13))) )],[refute_11_7,refute_11_8]) ).
cnf(refute_11_10,plain,
h12(op1(e12,e13)) = h12(e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_6,refute_11_9]) ).
cnf(refute_11_11,plain,
( h12(e11) != op2(h12(e12),h12(e13))
| h12(op1(e12,e13)) != h12(e11)
| h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e13)),h12(e11)) ),[1],$fot(op2(h12(e12),h12(e13)))]]) ).
cnf(refute_11_12,plain,
( h12(e11) != op2(h12(e12),h12(e13))
| h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e13)),h12(e11)) )],[refute_11_10,refute_11_11]) ).
cnf(refute_11_13,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_11_39]) ).
cnf(refute_11_14,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_11_4:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_11_15,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_11_13,refute_11_14]) ).
cnf(refute_11_16,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_11_40]) ).
cnf(refute_11_17,plain,
op2(e23,h12(e13)) = op2(e23,h12(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h12(e13)))]]) ).
cnf(refute_11_18,plain,
( h12(e13) != e22
| op2(e23,h12(e13)) != op2(e23,h12(e13))
| op2(e23,h12(e13)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h12(e13)),op2(e23,h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_11_19,plain,
( h12(e13) != e22
| op2(e23,h12(e13)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h12(e13)),op2(e23,h12(e13))) )],[refute_11_17,refute_11_18]) ).
cnf(refute_11_20,plain,
op2(e23,h12(e13)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_11_16,refute_11_19]) ).
cnf(refute_11_21,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_11_41]) ).
cnf(refute_11_22,plain,
op2(h12(e12),h12(e13)) = op2(h12(e12),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e12),h12(e13)))]]) ).
cnf(refute_11_23,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e13)) != op2(h12(e12),h12(e13))
| op2(h12(e12),h12(e13)) = op2(e23,h12(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e12),h12(e13)),op2(h12(e12),h12(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_24,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e13)) = op2(e23,h12(e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e13)),op2(h12(e12),h12(e13))) )],[refute_11_22,refute_11_23]) ).
cnf(refute_11_25,plain,
op2(h12(e12),h12(e13)) = op2(e23,h12(e13)),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_11_21,refute_11_24]) ).
cnf(refute_11_26,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_27,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_4,refute_11_26]) ).
cnf(refute_11_28,plain,
( op2(e23,h12(e13)) != op2(e23,e22)
| op2(h12(e12),h12(e13)) != op2(e23,h12(e13))
| op2(h12(e12),h12(e13)) = op2(e23,e22) ),
inference(subst,[],[refute_11_27:[bind(X,$fot(op2(h12(e12),h12(e13)))),bind(Y,$fot(op2(e23,h12(e13)))),bind(Z,$fot(op2(e23,e22)))]]) ).
cnf(refute_11_29,plain,
( op2(e23,h12(e13)) != op2(e23,e22)
| op2(h12(e12),h12(e13)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e13)),op2(e23,h12(e13))) )],[refute_11_25,refute_11_28]) ).
cnf(refute_11_30,plain,
op2(h12(e12),h12(e13)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e23,h12(e13)),op2(e23,e22)) )],[refute_11_20,refute_11_29]) ).
cnf(refute_11_31,plain,
( op2(e23,e22) != h12(e11)
| op2(h12(e12),h12(e13)) != op2(e23,e22)
| op2(h12(e12),h12(e13)) = h12(e11) ),
inference(subst,[],[refute_11_27:[bind(X,$fot(op2(h12(e12),h12(e13)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_11_32,plain,
( op2(e23,e22) != h12(e11)
| op2(h12(e12),h12(e13)) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e13)),op2(e23,e22)) )],[refute_11_30,refute_11_31]) ).
cnf(refute_11_33,plain,
op2(h12(e12),h12(e13)) = h12(e11),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_11_15,refute_11_32]) ).
cnf(refute_11_34,plain,
( h12(e11) != h12(e11)
| op2(h12(e12),h12(e13)) != h12(e11)
| h12(e11) = op2(h12(e12),h12(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e11),op2(h12(e12),h12(e13))) ),[1],$fot(h12(e11))]]) ).
cnf(refute_11_35,plain,
( h12(e11) != h12(e11)
| h12(e11) = op2(h12(e12),h12(e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e13)),h12(e11)) )],[refute_11_33,refute_11_34]) ).
cnf(refute_11_36,plain,
( h12(e11) != h12(e11)
| h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) ),
inference(resolve,[$cnf( $equal(h12(e11),op2(h12(e12),h12(e13))) )],[refute_11_35,refute_11_12]) ).
cnf(refute_11_37,plain,
h12(e11) != h12(e11),
inference(resolve,[$cnf( $equal(h12(op1(e12,e13)),op2(h12(e12),h12(e13))) )],[refute_11_36,refute_11_0]) ).
cnf(refute_11_38,plain,
h12(e11) = h12(e11),
introduced(tautology,[refl,[$fot(h12(e11))]]) ).
cnf(refute_11_39,plain,
$false,
inference(resolve,[$cnf( $equal(h12(e11),h12(e11)) )],[refute_11_38,refute_11_37]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13)) )
=> h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
( h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_12_0]) ).
fof(normalize_12_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_12_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_12_1]) ).
fof(normalize_12_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_12_1]) ).
fof(normalize_12_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_12_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_12_4]) ).
fof(normalize_12_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_12_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_12_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_12_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_12_13]) ).
fof(normalize_12_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_12_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_12_16]) ).
fof(normalize_12_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_12_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_12_19]) ).
fof(normalize_12_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_12_19]) ).
fof(normalize_12_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_12_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_12_22]) ).
fof(normalize_12_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_12_22]) ).
fof(normalize_12_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_12_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_12_25]) ).
fof(normalize_12_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_12_25]) ).
fof(normalize_12_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_12_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_12_28]) ).
fof(normalize_12_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_12_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_12_31]) ).
fof(normalize_12_34,plain,
( h12(op1(e13,e10)) != op2(h12(e13),h12(e10))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_12_0,normalize_12_2,normalize_12_3,normalize_12_5,normalize_12_6,normalize_12_8,normalize_12_9,normalize_12_11,normalize_12_12,normalize_12_14,normalize_12_15,normalize_12_17,normalize_12_18,normalize_12_20,normalize_12_21,normalize_12_23,normalize_12_24,normalize_12_26,normalize_12_27,normalize_12_29,normalize_12_30,normalize_12_32,normalize_12_33]) ).
fof(normalize_12_35,plain,
h12(op1(e13,e10)) != op2(h12(e13),h12(e10)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_36,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_12_37,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_12_36]) ).
fof(normalize_12_38,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_12_39,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_12_38]) ).
fof(normalize_12_40,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_41,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_12_42,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_12_41]) ).
fof(normalize_12_43,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_12_44,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_12_43]) ).
fof(normalize_12_45,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_46,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_12_43]) ).
cnf(refute_12_0,plain,
h12(op1(e13,e10)) != op2(h12(e13),h12(e10)),
inference(canonicalize,[],[normalize_12_35]) ).
cnf(refute_12_1,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_12_37]) ).
cnf(refute_12_2,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_12_39]) ).
cnf(refute_12_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_12_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_12_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_12_3,refute_12_4]) ).
cnf(refute_12_6,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_12_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_7,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_12_2,refute_12_6]) ).
cnf(refute_12_8,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_12_9,plain,
( op1(e13,e13) != e10
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_12_10,plain,
( op1(e13,e13) != e10
| op1(op1(e13,e13),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_12_8,refute_12_9]) ).
cnf(refute_12_11,plain,
op1(op1(e13,e13),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_12_7,refute_12_10]) ).
cnf(refute_12_12,plain,
( op1(op1(e13,e13),e13) != op1(e10,e13)
| op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_12_13,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e10,e13)) )],[refute_12_11,refute_12_12]) ).
cnf(refute_12_14,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_15,plain,
( op1(e13,e13) != e10
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_12_16,plain,
( op1(e13,e13) != e10
| op1(e13,op1(e13,e13)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_12_14,refute_12_15]) ).
cnf(refute_12_17,plain,
op1(e13,op1(e13,e13)) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_12_7,refute_12_16]) ).
cnf(refute_12_18,plain,
( op1(e10,e13) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e13,e10)
| op1(e10,e13) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e10)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_19,plain,
( op1(e10,e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,e10)) )],[refute_12_17,refute_12_18]) ).
cnf(refute_12_20,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,op1(e13,e13))) )],[refute_12_13,refute_12_19]) ).
cnf(refute_12_21,plain,
op1(e10,e13) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) )],[refute_12_1,refute_12_20]) ).
cnf(refute_12_22,plain,
( op1(e10,e13) != op1(e13,e10)
| op1(e13,e10) = op1(e10,e13) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_12_23,plain,
op1(e13,e10) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e10)) )],[refute_12_21,refute_12_22]) ).
cnf(refute_12_24,plain,
h12(op1(e13,e10)) = h12(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h12(op1(e13,e10)))]]) ).
cnf(refute_12_25,plain,
( h12(op1(e13,e10)) != h12(op1(e13,e10))
| op1(e13,e10) != op1(e10,e13)
| h12(op1(e13,e10)) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e10)),h12(op1(e13,e10))) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_12_26,plain,
( op1(e13,e10) != op1(e10,e13)
| h12(op1(e13,e10)) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e10)),h12(op1(e13,e10))) )],[refute_12_24,refute_12_25]) ).
cnf(refute_12_27,plain,
h12(op1(e13,e10)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e10,e13)) )],[refute_12_23,refute_12_26]) ).
cnf(refute_12_28,plain,
( h12(op1(e10,e13)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e10)) != h12(op1(e10,e13))
| h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e10)),h12(op1(e10,e13))) ),[1],$fot(op2(h12(e13),h12(e10)))]]) ).
cnf(refute_12_29,plain,
( h12(op1(e10,e13)) != op2(h12(e13),h12(e10))
| h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e10)),h12(op1(e10,e13))) )],[refute_12_27,refute_12_28]) ).
cnf(refute_12_30,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_12_40]) ).
cnf(refute_12_31,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_12_42]) ).
cnf(refute_12_32,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_12_44]) ).
cnf(refute_12_33,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_12_45]) ).
cnf(refute_12_34,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_35,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_12_33,refute_12_34]) ).
cnf(refute_12_36,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_12_37,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_12_35,refute_12_36]) ).
cnf(refute_12_38,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_12_32,refute_12_37]) ).
cnf(refute_12_39,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_12_40,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_12_38,refute_12_39]) ).
cnf(refute_12_41,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_12_42,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_5,refute_12_41]) ).
cnf(refute_12_43,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_12_42:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_12_44,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_12_35,refute_12_43]) ).
cnf(refute_12_45,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_12_40,refute_12_44]) ).
cnf(refute_12_46,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_12_47,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_12_48,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_12_46,refute_12_47]) ).
cnf(refute_12_49,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_12_45,refute_12_48]) ).
cnf(refute_12_50,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_12_51,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_12_49,refute_12_50]) ).
cnf(refute_12_52,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_12_53,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_12_54,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_12_52,refute_12_53]) ).
cnf(refute_12_55,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_12_45,refute_12_54]) ).
cnf(refute_12_56,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_12_57,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_12_55,refute_12_56]) ).
cnf(refute_12_58,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_12_51,refute_12_57]) ).
cnf(refute_12_59,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_12_31,refute_12_58]) ).
cnf(refute_12_60,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_12_46]) ).
cnf(refute_12_61,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_12_62,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_12_63,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_12_61,refute_12_62]) ).
cnf(refute_12_64,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_12_60,refute_12_63]) ).
cnf(refute_12_65,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_12_42:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_12_66,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_12_64,refute_12_65]) ).
cnf(refute_12_67,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_12_59,refute_12_66]) ).
cnf(refute_12_68,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_12_69,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_12_67,refute_12_68]) ).
cnf(refute_12_70,plain,
h12(op1(e10,e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_12_30,refute_12_69]) ).
cnf(refute_12_71,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = h12(op1(e10,e13)) ),
inference(subst,[],[refute_12_5:[bind(X,$fot(h12(op1(e10,e13)))),bind(Y,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_12_72,plain,
op2(e22,h12(e10)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_12_70,refute_12_71]) ).
cnf(refute_12_73,plain,
op2(h12(e13),h12(e10)) = op2(h12(e13),h12(e10)),
introduced(tautology,[refl,[$fot(op2(h12(e13),h12(e10)))]]) ).
cnf(refute_12_74,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e10)) != op2(h12(e13),h12(e10))
| op2(h12(e13),h12(e10)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e13),h12(e10)),op2(h12(e13),h12(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_12_75,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e10)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e10)),op2(h12(e13),h12(e10))) )],[refute_12_73,refute_12_74]) ).
cnf(refute_12_76,plain,
op2(h12(e13),h12(e10)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_12_60,refute_12_75]) ).
cnf(refute_12_77,plain,
( op2(e22,h12(e10)) != h12(op1(e10,e13))
| op2(h12(e13),h12(e10)) != op2(e22,h12(e10))
| op2(h12(e13),h12(e10)) = h12(op1(e10,e13)) ),
inference(subst,[],[refute_12_42:[bind(X,$fot(op2(h12(e13),h12(e10)))),bind(Y,$fot(op2(e22,h12(e10)))),bind(Z,$fot(h12(op1(e10,e13))))]]) ).
cnf(refute_12_78,plain,
( op2(e22,h12(e10)) != h12(op1(e10,e13))
| op2(h12(e13),h12(e10)) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e10)),op2(e22,h12(e10))) )],[refute_12_76,refute_12_77]) ).
cnf(refute_12_79,plain,
op2(h12(e13),h12(e10)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h12(op1(e10,e13))) )],[refute_12_72,refute_12_78]) ).
cnf(refute_12_80,plain,
( h12(op1(e10,e13)) != h12(op1(e10,e13))
| op2(h12(e13),h12(e10)) != h12(op1(e10,e13))
| h12(op1(e10,e13)) = op2(h12(e13),h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(h12(e13),h12(e10))) ),[1],$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_12_81,plain,
( h12(op1(e10,e13)) != h12(op1(e10,e13))
| h12(op1(e10,e13)) = op2(h12(e13),h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e10)),h12(op1(e10,e13))) )],[refute_12_79,refute_12_80]) ).
cnf(refute_12_82,plain,
( h12(op1(e10,e13)) != h12(op1(e10,e13))
| h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e13),h12(e10))) )],[refute_12_81,refute_12_29]) ).
cnf(refute_12_83,plain,
h12(op1(e10,e13)) != h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e13,e10)),op2(h12(e13),h12(e10))) )],[refute_12_82,refute_12_0]) ).
cnf(refute_12_84,plain,
h12(op1(e10,e13)) = h12(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_12_85,plain,
$false,
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h12(op1(e10,e13))) )],[refute_12_84,refute_12_83]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10)) )
=> h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
( h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_13_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_13_1]) ).
fof(normalize_13_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_13_1]) ).
fof(normalize_13_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_13_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_13_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_13_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_13_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_13_13]) ).
fof(normalize_13_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_13_13]) ).
fof(normalize_13_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_13_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_13_16]) ).
fof(normalize_13_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_13_16]) ).
fof(normalize_13_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_13_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_13_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_13_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_13_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_13_28]) ).
fof(normalize_13_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_13_28]) ).
fof(normalize_13_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_13_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_34,plain,
( h12(op1(e13,e11)) != op2(h12(e13),h12(e11))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_13_0,normalize_13_2,normalize_13_3,normalize_13_5,normalize_13_6,normalize_13_8,normalize_13_9,normalize_13_11,normalize_13_12,normalize_13_14,normalize_13_15,normalize_13_17,normalize_13_18,normalize_13_20,normalize_13_21,normalize_13_23,normalize_13_24,normalize_13_26,normalize_13_27,normalize_13_29,normalize_13_30,normalize_13_32,normalize_13_33]) ).
fof(normalize_13_35,plain,
h12(op1(e13,e11)) != op2(h12(e13),h12(e11)),
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_36,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_13_37,plain,
op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_38,plain,
h5(e11) = op2(e21,e22),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_39,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_13_40,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_13_39]) ).
fof(normalize_13_41,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_13_42,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_13_41]) ).
fof(normalize_13_43,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_13_41]) ).
fof(normalize_13_44,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_45,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_46,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_13_41]) ).
fof(normalize_13_47,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_48,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_13_28]) ).
fof(normalize_13_49,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_13_41]) ).
fof(normalize_13_50,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_13_13]) ).
fof(normalize_13_51,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_52,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_13_39]) ).
fof(normalize_13_53,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_54,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_13_55,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_13_54]) ).
fof(normalize_13_56,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_13_55]) ).
fof(normalize_13_57,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_13_58,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_13_57,normalize_13_54]) ).
fof(normalize_13_59,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_13_58]) ).
fof(normalize_13_60,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_13_59]) ).
fof(normalize_13_61,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax18]) ).
fof(normalize_13_62,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_13_61]) ).
fof(normalize_13_63,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_13_64,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_13_63,normalize_13_58,normalize_13_54]) ).
fof(normalize_13_65,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_13_66,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_13_64,normalize_13_65]) ).
fof(normalize_13_67,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_13_66]) ).
fof(normalize_13_68,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_13_67]) ).
fof(normalize_13_69,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_13_70,plain,
e20 != e23,
inference(conjunct,[],[normalize_13_69]) ).
fof(normalize_13_71,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_13_65]) ).
fof(normalize_13_72,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_13_71]) ).
fof(normalize_13_73,plain,
e20 != e22,
inference(conjunct,[],[normalize_13_69]) ).
fof(normalize_13_74,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_13_75,plain,
op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_76,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_77,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_78,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_13_79,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_13_78]) ).
fof(normalize_13_80,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_13_78]) ).
fof(normalize_13_81,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_13_82,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_13_81]) ).
fof(normalize_13_83,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_13_82]) ).
fof(normalize_13_84,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_13_85,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_13_84,normalize_13_81]) ).
fof(normalize_13_86,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_13_85]) ).
fof(normalize_13_87,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_13_86]) ).
fof(normalize_13_88,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,[],[ax17]) ).
fof(normalize_13_89,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_13_88]) ).
fof(normalize_13_90,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_13_91,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_13_90,normalize_13_85,normalize_13_81]) ).
fof(normalize_13_92,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_13_93,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_13_91,normalize_13_92]) ).
fof(normalize_13_94,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_13_93]) ).
fof(normalize_13_95,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_13_94]) ).
fof(normalize_13_96,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_13_97,plain,
e10 != e13,
inference(conjunct,[],[normalize_13_96]) ).
fof(normalize_13_98,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_13_92]) ).
fof(normalize_13_99,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_13_98]) ).
fof(normalize_13_100,plain,
e10 != e12,
inference(conjunct,[],[normalize_13_96]) ).
fof(normalize_13_101,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_102,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_13_82]) ).
fof(normalize_13_103,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_104,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_105,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_13_104]) ).
fof(normalize_13_106,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_13_88]) ).
fof(normalize_13_107,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_13_88]) ).
fof(normalize_13_108,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_109,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_110,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_13_10]) ).
fof(normalize_13_111,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_112,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_113,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_114,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_13_22]) ).
fof(normalize_13_115,plain,
op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_116,plain,
h4(e11) = op2(e21,e20),
inference(conjunct,[],[normalize_13_16]) ).
fof(normalize_13_117,plain,
op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_118,plain,
h10(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_13_4]) ).
fof(normalize_13_119,plain,
h4(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_13_16]) ).
fof(normalize_13_120,plain,
op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_121,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_13_55]) ).
fof(normalize_13_122,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_123,plain,
h1(e11) = op2(e20,e21),
inference(conjunct,[],[normalize_13_1]) ).
fof(normalize_13_124,plain,
op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_125,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_126,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,[],[ax5]) ).
fof(normalize_13_127,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_13_126]) ).
fof(normalize_13_128,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_13_61]) ).
fof(normalize_13_129,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_13_61]) ).
fof(normalize_13_130,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_13_61]) ).
fof(normalize_13_131,plain,
e22 != e23,
inference(conjunct,[],[normalize_13_69]) ).
fof(normalize_13_132,plain,
e12 != e13,
inference(conjunct,[],[normalize_13_96]) ).
fof(normalize_13_133,plain,
op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_134,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_135,plain,
op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_136,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_137,plain,
op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_138,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_139,plain,
h11(e11) = op2(e23,e21),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_140,plain,
h12(op1(e11,e12)) = op2(h12(e11),h12(e12)),
inference(conjunct,[],[normalize_13_34]) ).
fof(normalize_13_141,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(conjunct,[],[normalize_13_36]) ).
fof(normalize_13_142,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_143,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_144,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_145,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_146,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(conjunct,[],[normalize_13_74]) ).
fof(normalize_13_147,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_13_74]) ).
cnf(refute_13_0,plain,
h12(op1(e13,e11)) != op2(h12(e13),h12(e11)),
inference(canonicalize,[],[normalize_13_35]) ).
cnf(refute_13_1,plain,
op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22)),
inference(canonicalize,[],[normalize_13_37]) ).
cnf(refute_13_2,plain,
h5(e11) = op2(e21,e22),
inference(canonicalize,[],[normalize_13_38]) ).
cnf(refute_13_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_3,refute_13_4]) ).
cnf(refute_13_6,plain,
( h5(e11) != op2(e21,e22)
| op2(e21,e22) = h5(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_13_7,plain,
op2(e21,e22) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e21,e22)) )],[refute_13_2,refute_13_6]) ).
cnf(refute_13_8,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_13_40]) ).
cnf(refute_13_9,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_13_10,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_13_8,refute_13_9]) ).
cnf(refute_13_11,plain,
op2(op2(e22,e23),e22) = op2(op2(e22,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e22))]]) ).
cnf(refute_13_12,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e22) != op2(op2(e22,e23),e22)
| op2(op2(e22,e23),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e22),op2(op2(e22,e23),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_13,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e22),op2(op2(e22,e23),e22)) )],[refute_13_11,refute_13_12]) ).
cnf(refute_13_14,plain,
op2(op2(e22,e23),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_10,refute_13_13]) ).
cnf(refute_13_15,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_16,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_5,refute_13_15]) ).
cnf(refute_13_17,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e22,e23),e22) != op2(e21,e22)
| op2(op2(e22,e23),e22) = h5(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(op2(e22,e23),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_13_18,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e22,e23),e22) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e22),op2(e21,e22)) )],[refute_13_14,refute_13_17]) ).
cnf(refute_13_19,plain,
op2(op2(e22,e23),e22) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_13_7,refute_13_18]) ).
cnf(refute_13_20,plain,
( op2(op2(e22,e23),e22) != h5(e11)
| op2(op2(e22,e23),e22) != op2(e22,op2(e23,e22))
| h5(e11) = op2(e22,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e22),op2(e22,op2(e23,e22))) ),[0],$fot(h5(e11))]]) ).
cnf(refute_13_21,plain,
( op2(op2(e22,e23),e22) != op2(e22,op2(e23,e22))
| h5(e11) = op2(e22,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e22),h5(e11)) )],[refute_13_19,refute_13_20]) ).
cnf(refute_13_22,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_13_42]) ).
cnf(refute_13_23,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_13_24,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_13_22,refute_13_23]) ).
cnf(refute_13_25,plain,
op2(e22,op2(e23,e22)) = op2(e22,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e22)))]]) ).
cnf(refute_13_26,plain,
( op2(e22,op2(e23,e22)) != op2(e22,op2(e23,e22))
| op2(e23,e22) != h12(e11)
| op2(e22,op2(e23,e22)) = op2(e22,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,op2(e23,e22))) ),[1,1],$fot(h12(e11))]]) ).
cnf(refute_13_27,plain,
( op2(e23,e22) != h12(e11)
| op2(e22,op2(e23,e22)) = op2(e22,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,op2(e23,e22))) )],[refute_13_25,refute_13_26]) ).
cnf(refute_13_28,plain,
op2(e22,op2(e23,e22)) = op2(e22,h12(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_13_24,refute_13_27]) ).
cnf(refute_13_29,plain,
( h5(e11) != op2(e22,op2(e23,e22))
| op2(e22,op2(e23,e22)) != op2(e22,h12(e11))
| h5(e11) = op2(e22,h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h5(e11),op2(e22,h12(e11))) ),[0],$fot(op2(e22,op2(e23,e22)))]]) ).
cnf(refute_13_30,plain,
( h5(e11) != op2(e22,op2(e23,e22))
| h5(e11) = op2(e22,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e22)),op2(e22,h12(e11))) )],[refute_13_28,refute_13_29]) ).
cnf(refute_13_31,plain,
( op2(op2(e22,e23),e22) != op2(e22,op2(e23,e22))
| h5(e11) = op2(e22,h12(e11)) ),
inference(resolve,[$cnf( $equal(h5(e11),op2(e22,op2(e23,e22))) )],[refute_13_21,refute_13_30]) ).
cnf(refute_13_32,plain,
h5(e11) = op2(e22,h12(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e22),op2(e22,op2(e23,e22))) )],[refute_13_1,refute_13_31]) ).
cnf(refute_13_33,plain,
( h5(e11) != op2(e22,h12(e11))
| op2(e22,h12(e11)) = h5(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e22,h12(e11))))]]) ).
cnf(refute_13_34,plain,
op2(e22,h12(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e22,h12(e11))) )],[refute_13_32,refute_13_33]) ).
cnf(refute_13_35,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_13_43]) ).
cnf(refute_13_36,plain,
op2(h12(e13),h12(e11)) = op2(h12(e13),h12(e11)),
introduced(tautology,[refl,[$fot(op2(h12(e13),h12(e11)))]]) ).
cnf(refute_13_37,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e11)) != op2(h12(e13),h12(e11))
| op2(h12(e13),h12(e11)) = op2(e22,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e13),h12(e11)),op2(h12(e13),h12(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_13_38,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e11)) = op2(e22,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e11)),op2(h12(e13),h12(e11))) )],[refute_13_36,refute_13_37]) ).
cnf(refute_13_39,plain,
op2(h12(e13),h12(e11)) = op2(e22,h12(e11)),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_13_35,refute_13_38]) ).
cnf(refute_13_40,plain,
( op2(e22,h12(e11)) != h5(e11)
| op2(h12(e13),h12(e11)) != op2(e22,h12(e11))
| op2(h12(e13),h12(e11)) = h5(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h12(e13),h12(e11)))),bind(Y,$fot(op2(e22,h12(e11)))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_13_41,plain,
( op2(e22,h12(e11)) != h5(e11)
| op2(h12(e13),h12(e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e11)),op2(e22,h12(e11))) )],[refute_13_39,refute_13_40]) ).
cnf(refute_13_42,plain,
op2(h12(e13),h12(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e22,h12(e11)),h5(e11)) )],[refute_13_34,refute_13_41]) ).
cnf(refute_13_43,plain,
( h12(op1(e13,e11)) != h5(e11)
| op2(h12(e13),h12(e11)) != h5(e11)
| h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e13,e11)),op2(h12(e13),h12(e11))) ),[1],$fot(h5(e11))]]) ).
cnf(refute_13_44,plain,
( h12(op1(e13,e11)) != h5(e11)
| h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e11)),h5(e11)) )],[refute_13_42,refute_13_43]) ).
cnf(refute_13_45,plain,
h12(op1(e13,e11)) != h5(e11),
inference(resolve,[$cnf( $equal(h12(op1(e13,e11)),op2(h12(e13),h12(e11))) )],[refute_13_44,refute_13_0]) ).
cnf(refute_13_46,plain,
h12(op1(e10,e12)) = op2(h12(e10),h12(e12)),
inference(canonicalize,[],[normalize_13_44]) ).
cnf(refute_13_47,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_13_45]) ).
cnf(refute_13_48,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_13_46]) ).
cnf(refute_13_49,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_13_47]) ).
cnf(refute_13_50,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_13_51,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_13_49,refute_13_50]) ).
cnf(refute_13_52,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_13_53,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_13_51,refute_13_52]) ).
cnf(refute_13_54,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_13_48,refute_13_53]) ).
cnf(refute_13_55,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_13_56,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_13_54,refute_13_55]) ).
cnf(refute_13_57,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_13_58,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_13_51,refute_13_57]) ).
cnf(refute_13_59,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_13_56,refute_13_58]) ).
cnf(refute_13_60,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_13_61,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_13_62,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_13_60,refute_13_61]) ).
cnf(refute_13_63,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_13_59,refute_13_62]) ).
cnf(refute_13_64,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_13_65,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_13_63,refute_13_64]) ).
cnf(refute_13_66,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_13_48]) ).
cnf(refute_13_67,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_13_68,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_13_66,refute_13_67]) ).
cnf(refute_13_69,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_13_70,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_71,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_13_69,refute_13_70]) ).
cnf(refute_13_72,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_10,refute_13_71]) ).
cnf(refute_13_73,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_13_74,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_13_72,refute_13_73]) ).
cnf(refute_13_75,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_13_68,refute_13_74]) ).
cnf(refute_13_76,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_13_77,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_13_75,refute_13_76]) ).
cnf(refute_13_78,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_13_65,refute_13_77]) ).
cnf(refute_13_79,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_13_47,refute_13_78]) ).
cnf(refute_13_80,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_13_49]) ).
cnf(refute_13_81,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_13_82,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_83,plain,
( h12(e12) != e23
| op2(h12(e10),h12(e12)) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),h12(e12))) )],[refute_13_81,refute_13_82]) ).
cnf(refute_13_84,plain,
op2(h12(e10),h12(e12)) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_13_80,refute_13_83]) ).
cnf(refute_13_85,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) != op2(h12(e10),e23)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h12(e10),h12(e12)))),bind(Y,$fot(op2(h12(e10),e23))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_13_86,plain,
( op2(h12(e10),e23) != h8(e11)
| op2(h12(e10),h12(e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),op2(h12(e10),e23)) )],[refute_13_84,refute_13_85]) ).
cnf(refute_13_87,plain,
op2(h12(e10),h12(e12)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_13_79,refute_13_86]) ).
cnf(refute_13_88,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| op2(h12(e10),h12(e12)) != h8(e11)
| h12(op1(e10,e12)) = h8(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),h8(e11)) ),[0],$fot(op2(h12(e10),h12(e12)))]]) ).
cnf(refute_13_89,plain,
( h12(op1(e10,e12)) != op2(h12(e10),h12(e12))
| h12(op1(e10,e12)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e12)),h8(e11)) )],[refute_13_87,refute_13_88]) ).
cnf(refute_13_90,plain,
h12(op1(e10,e12)) = h8(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),op2(h12(e10),h12(e12))) )],[refute_13_46,refute_13_89]) ).
cnf(refute_13_91,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_13_50]) ).
cnf(refute_13_92,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_51]) ).
cnf(refute_13_93,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_13_94,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_13_91,refute_13_93]) ).
cnf(refute_13_95,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_13_52]) ).
cnf(refute_13_96,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_97,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_13_95,refute_13_96]) ).
cnf(refute_13_98,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_13_99,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_100,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_13_98,refute_13_99]) ).
cnf(refute_13_101,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_97,refute_13_100]) ).
cnf(refute_13_102,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_13_103,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_13_101,refute_13_102]) ).
cnf(refute_13_104,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_94,refute_13_103]) ).
cnf(refute_13_105,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_13_106,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_13_104,refute_13_105]) ).
cnf(refute_13_107,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_13_53]) ).
cnf(refute_13_108,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_13_109,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_13_107,refute_13_108]) ).
cnf(refute_13_110,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_13_111,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_112,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_13_110,refute_13_111]) ).
cnf(refute_13_113,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_97,refute_13_112]) ).
cnf(refute_13_114,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_13_115,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_13_113,refute_13_114]) ).
cnf(refute_13_116,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_13_109,refute_13_115]) ).
cnf(refute_13_117,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_13_118,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_13_116,refute_13_117]) ).
cnf(refute_13_119,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_13_106,refute_13_118]) ).
cnf(refute_13_120,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_13_92,refute_13_119]) ).
cnf(refute_13_121,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_13_122,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_13_120,refute_13_121]) ).
cnf(refute_13_123,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_13_91,refute_13_122]) ).
cnf(refute_13_124,plain,
( h10(e11) != op2(e20,e23)
| op2(e20,e23) = h10(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_13_125,plain,
op2(e20,e23) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_13_123,refute_13_124]) ).
cnf(refute_13_126,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_13_56]) ).
cnf(refute_13_127,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_13_128,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_13_59,refute_13_127]) ).
cnf(refute_13_129,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_13_126,refute_13_128]) ).
cnf(refute_13_130,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_13_60]) ).
cnf(refute_13_131,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_13_132,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_13_59,refute_13_131]) ).
cnf(refute_13_133,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_13_130,refute_13_132]) ).
cnf(refute_13_134,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_13_62]) ).
cnf(refute_13_135,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_13_136,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_13_59,refute_13_135]) ).
cnf(refute_13_137,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_13_138,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_10,refute_13_137]) ).
cnf(refute_13_139,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_13_138,refute_13_136]) ).
cnf(refute_13_140,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_13_139,refute_13_134]) ).
cnf(refute_13_141,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_13_133,refute_13_140]) ).
cnf(refute_13_142,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_13_68]) ).
cnf(refute_13_143,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_13_144,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_97,refute_13_143]) ).
cnf(refute_13_145,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_13_142,refute_13_144]) ).
cnf(refute_13_146,plain,
e20 != e23,
inference(canonicalize,[],[normalize_13_70]) ).
cnf(refute_13_147,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_13_145,refute_13_146]) ).
cnf(refute_13_148,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_13_72]) ).
cnf(refute_13_149,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_13_150,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_97,refute_13_149]) ).
cnf(refute_13_151,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_13_148,refute_13_150]) ).
cnf(refute_13_152,plain,
e20 != e22,
inference(canonicalize,[],[normalize_13_73]) ).
cnf(refute_13_153,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_13_151,refute_13_152]) ).
cnf(refute_13_154,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_13_147,refute_13_153]) ).
cnf(refute_13_155,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_13_154,refute_13_141]) ).
cnf(refute_13_156,plain,
h12(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_13_129,refute_13_155]) ).
cnf(refute_13_157,plain,
op2(h12(e10),e23) = op2(h12(e10),e23),
introduced(tautology,[refl,[$fot(op2(h12(e10),e23))]]) ).
cnf(refute_13_158,plain,
( h12(e10) != e20
| op2(h12(e10),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_159,plain,
( h12(e10) != e20
| op2(h12(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) )],[refute_13_157,refute_13_158]) ).
cnf(refute_13_160,plain,
op2(h12(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_13_156,refute_13_159]) ).
cnf(refute_13_161,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) != op2(e20,e23)
| op2(h12(e10),e23) = h10(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h12(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_13_162,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e20,e23)) )],[refute_13_160,refute_13_161]) ).
cnf(refute_13_163,plain,
op2(h12(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_13_125,refute_13_162]) ).
cnf(refute_13_164,plain,
( op2(h12(e10),e23) != h10(e11)
| op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_13_165,plain,
( op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h10(e11)) )],[refute_13_163,refute_13_164]) ).
cnf(refute_13_166,plain,
h10(e11) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_13_79,refute_13_165]) ).
cnf(refute_13_167,plain,
( h10(e11) != h8(e11)
| h8(e11) = h10(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_13_168,plain,
h8(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h8(e11)) )],[refute_13_166,refute_13_167]) ).
cnf(refute_13_169,plain,
( h12(op1(e10,e12)) != h8(e11)
| h8(e11) != h10(e11)
| h12(op1(e10,e12)) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e12)),h10(e11)) ),[0],$fot(h8(e11))]]) ).
cnf(refute_13_170,plain,
( h12(op1(e10,e12)) != h8(e11)
| h12(op1(e10,e12)) = h10(e11) ),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_13_168,refute_13_169]) ).
cnf(refute_13_171,plain,
h12(op1(e10,e12)) = h10(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h8(e11)) )],[refute_13_90,refute_13_170]) ).
cnf(refute_13_172,plain,
op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11)),
inference(canonicalize,[],[normalize_13_75]) ).
cnf(refute_13_173,plain,
op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11)),
inference(canonicalize,[],[normalize_13_76]) ).
cnf(refute_13_174,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_13_77]) ).
cnf(refute_13_175,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_13_79]) ).
cnf(refute_13_176,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_13_177,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_13_175,refute_13_176]) ).
cnf(refute_13_178,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_13_179,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_13_180,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_13_178,refute_13_179]) ).
cnf(refute_13_181,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_177,refute_13_180]) ).
cnf(refute_13_182,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_13_183,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_13_181,refute_13_182]) ).
cnf(refute_13_184,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_13_80]) ).
cnf(refute_13_185,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_186,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_13_184,refute_13_185]) ).
cnf(refute_13_187,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_13_188,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_13_189,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_13_187,refute_13_188]) ).
cnf(refute_13_190,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_186,refute_13_189]) ).
cnf(refute_13_191,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_13_192,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_13_190,refute_13_191]) ).
cnf(refute_13_193,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_13_183,refute_13_192]) ).
cnf(refute_13_194,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_13_174,refute_13_193]) ).
cnf(refute_13_195,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_13_196,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_13_194,refute_13_195]) ).
cnf(refute_13_197,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_13_83]) ).
cnf(refute_13_198,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_13_87]) ).
cnf(refute_13_199,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_89]) ).
cnf(refute_13_200,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_201,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_177,refute_13_200]) ).
cnf(refute_13_202,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_13_201,refute_13_199]) ).
cnf(refute_13_203,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_13_198,refute_13_202]) ).
cnf(refute_13_204,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_13_95]) ).
cnf(refute_13_205,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_13_206,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_186,refute_13_205]) ).
cnf(refute_13_207,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_13_204,refute_13_206]) ).
cnf(refute_13_208,plain,
e10 != e13,
inference(canonicalize,[],[normalize_13_97]) ).
cnf(refute_13_209,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_13_207,refute_13_208]) ).
cnf(refute_13_210,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_13_99]) ).
cnf(refute_13_211,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_13_212,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_186,refute_13_211]) ).
cnf(refute_13_213,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_13_210,refute_13_212]) ).
cnf(refute_13_214,plain,
e10 != e12,
inference(canonicalize,[],[normalize_13_100]) ).
cnf(refute_13_215,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_13_213,refute_13_214]) ).
cnf(refute_13_216,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_13_209,refute_13_215]) ).
cnf(refute_13_217,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_13_216,refute_13_203]) ).
cnf(refute_13_218,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_13_197,refute_13_217]) ).
cnf(refute_13_219,plain,
op1(e12,op1(e11,e11)) = op1(e12,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e11)))]]) ).
cnf(refute_13_220,plain,
( op1(e11,e11) != e10
| op1(e12,op1(e11,e11)) != op1(e12,op1(e11,e11))
| op1(e12,op1(e11,e11)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e12,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_13_221,plain,
( op1(e11,e11) != e10
| op1(e12,op1(e11,e11)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e12,op1(e11,e11))) )],[refute_13_219,refute_13_220]) ).
cnf(refute_13_222,plain,
op1(e12,op1(e11,e11)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_218,refute_13_221]) ).
cnf(refute_13_223,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e11,e11)) != op1(e12,e10)
| op1(e12,op1(e11,e11)) = op1(e11,e13) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op1(e12,op1(e11,e11)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_13_224,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e11,e11)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e12,e10)) )],[refute_13_222,refute_13_223]) ).
cnf(refute_13_225,plain,
op1(e12,op1(e11,e11)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_13_196,refute_13_224]) ).
cnf(refute_13_226,plain,
( op1(e12,op1(e11,e11)) != op1(e11,e13)
| op1(op1(e12,e11),e11) != op1(e12,op1(e11,e11))
| op1(op1(e12,e11),e11) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e12,op1(e11,e11))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_13_227,plain,
( op1(op1(e12,e11),e11) != op1(e12,op1(e11,e11))
| op1(op1(e12,e11),e11) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e11)),op1(e11,e13)) )],[refute_13_225,refute_13_226]) ).
cnf(refute_13_228,plain,
op1(op1(e12,e11),e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e12,op1(e11,e11))) )],[refute_13_173,refute_13_227]) ).
cnf(refute_13_229,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_13_101]) ).
cnf(refute_13_230,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_13_102]) ).
cnf(refute_13_231,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_13_230,refute_13_217]) ).
cnf(refute_13_232,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_13_233,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_13_234,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_13_232,refute_13_233]) ).
cnf(refute_13_235,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_13_231,refute_13_234]) ).
cnf(refute_13_236,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_13_237,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_13_235,refute_13_236]) ).
cnf(refute_13_238,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_13_239,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_13_240,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_13_238,refute_13_239]) ).
cnf(refute_13_241,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_13_231,refute_13_240]) ).
cnf(refute_13_242,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_13_243,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_13_241,refute_13_242]) ).
cnf(refute_13_244,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_13_196,refute_13_243]) ).
cnf(refute_13_245,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_13_246,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_13_244,refute_13_245]) ).
cnf(refute_13_247,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_13_237,refute_13_246]) ).
cnf(refute_13_248,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_13_229,refute_13_247]) ).
cnf(refute_13_249,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_13_250,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_13_248,refute_13_249]) ).
cnf(refute_13_251,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e12,e11),e11) != op1(e11,e13)
| op1(op1(e12,e11),e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e11,e13)) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_13_252,plain,
( op1(op1(e12,e11),e11) != op1(e11,e13)
| op1(op1(e12,e11),e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_13_250,refute_13_251]) ).
cnf(refute_13_253,plain,
op1(op1(e12,e11),e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e11,e13)) )],[refute_13_228,refute_13_252]) ).
cnf(refute_13_254,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_13_103]) ).
cnf(refute_13_255,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_13_256,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_13_257,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_13_255,refute_13_256]) ).
cnf(refute_13_258,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_177,refute_13_257]) ).
cnf(refute_13_259,plain,
( op1(e12,op1(e12,e13)) != op1(e12,e11)
| op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_13_260,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_13_258,refute_13_259]) ).
cnf(refute_13_261,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_13_254,refute_13_260]) ).
cnf(refute_13_262,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_13_263,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_13_264,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_13_262,refute_13_263]) ).
cnf(refute_13_265,plain,
op1(op1(e12,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_13_231,refute_13_264]) ).
cnf(refute_13_266,plain,
( op1(op1(e12,e12),e13) != op1(e10,e13)
| op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_13_267,plain,
( op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e10,e13)) )],[refute_13_265,refute_13_266]) ).
cnf(refute_13_268,plain,
op1(e10,e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) )],[refute_13_261,refute_13_267]) ).
cnf(refute_13_269,plain,
( op1(e10,e13) != op1(e12,e11)
| op1(e12,e11) = op1(e10,e13) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_13_270,plain,
op1(e12,e11) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e11)) )],[refute_13_268,refute_13_269]) ).
cnf(refute_13_271,plain,
op1(op1(e12,e11),e11) = op1(op1(e12,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e11))]]) ).
cnf(refute_13_272,plain,
( op1(e12,e11) != op1(e10,e13)
| op1(op1(e12,e11),e11) != op1(op1(e12,e11),e11)
| op1(op1(e12,e11),e11) = op1(op1(e10,e13),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(op1(e12,e11),e11)) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_13_273,plain,
( op1(e12,e11) != op1(e10,e13)
| op1(op1(e12,e11),e11) = op1(op1(e10,e13),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(op1(e12,e11),e11)) )],[refute_13_271,refute_13_272]) ).
cnf(refute_13_274,plain,
op1(op1(e12,e11),e11) = op1(op1(e10,e13),e11),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e13)) )],[refute_13_270,refute_13_273]) ).
cnf(refute_13_275,plain,
( op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e12,e11),e11) != op1(op1(e10,e13),e11)
| op1(op1(e12,e11),e11) = op1(e10,op1(e13,e11)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op1(op1(e12,e11),e11))),bind(Y,$fot(op1(op1(e10,e13),e11))),bind(Z,$fot(op1(e10,op1(e13,e11))))]]) ).
cnf(refute_13_276,plain,
( op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e12,e11),e11) = op1(e10,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(op1(e10,e13),e11)) )],[refute_13_274,refute_13_275]) ).
cnf(refute_13_277,plain,
op1(op1(e12,e11),e11) = op1(e10,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,op1(e13,e11))) )],[refute_13_172,refute_13_276]) ).
cnf(refute_13_278,plain,
( op1(op1(e12,e11),e11) != op1(e10,e12)
| op1(op1(e12,e11),e11) != op1(e10,op1(e13,e11))
| op1(e10,op1(e13,e11)) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e10,e12)) ),[0],$fot(op1(e10,op1(e13,e11)))]]) ).
cnf(refute_13_279,plain,
( op1(op1(e12,e11),e11) != op1(e10,e12)
| op1(e10,op1(e13,e11)) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e10,op1(e13,e11))) )],[refute_13_277,refute_13_278]) ).
cnf(refute_13_280,plain,
op1(e10,op1(e13,e11)) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e11),op1(e10,e12)) )],[refute_13_253,refute_13_279]) ).
cnf(refute_13_281,plain,
( op1(e10,op1(e13,e11)) != op1(e10,e12)
| op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e10,e13),e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,op1(e13,e11))) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_13_282,plain,
( op1(op1(e10,e13),e11) != op1(e10,op1(e13,e11))
| op1(op1(e10,e13),e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e13,e11)),op1(e10,e12)) )],[refute_13_280,refute_13_281]) ).
cnf(refute_13_283,plain,
op1(op1(e10,e13),e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,op1(e13,e11))) )],[refute_13_172,refute_13_282]) ).
cnf(refute_13_284,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_13_105]) ).
cnf(refute_13_285,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_13_106]) ).
cnf(refute_13_286,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_13_287,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_186,refute_13_286]) ).
cnf(refute_13_288,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_13_287,refute_13_285]) ).
cnf(refute_13_289,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_13_284,refute_13_288]) ).
cnf(refute_13_290,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_13_107]) ).
cnf(refute_13_291,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_13_292,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_177,refute_13_291]) ).
cnf(refute_13_293,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_13_292,refute_13_290]) ).
cnf(refute_13_294,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_13_289,refute_13_293]) ).
cnf(refute_13_295,plain,
( op1(e10,e13) != e13
| op1(op1(e10,e13),e11) != op1(e10,e12)
| op1(e13,e11) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,e12)) ),[0,0],$fot(e13)]]) ).
cnf(refute_13_296,plain,
( op1(op1(e10,e13),e11) != op1(e10,e12)
| op1(e10,e13) = e12
| op1(e13,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_294,refute_13_295]) ).
cnf(refute_13_297,plain,
( op1(e10,e13) = e12
| op1(e13,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e13),e11),op1(e10,e12)) )],[refute_13_283,refute_13_296]) ).
cnf(refute_13_298,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_13_108]) ).
cnf(refute_13_299,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_13_300,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_13_301,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_13_299,refute_13_300]) ).
cnf(refute_13_302,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_13_59,refute_13_301]) ).
cnf(refute_13_303,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_13_304,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_13_302,refute_13_303]) ).
cnf(refute_13_305,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_13_306,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_13_307,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_13_305,refute_13_306]) ).
cnf(refute_13_308,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_13_59,refute_13_307]) ).
cnf(refute_13_309,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_13_310,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_13_308,refute_13_309]) ).
cnf(refute_13_311,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_13_304,refute_13_310]) ).
cnf(refute_13_312,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_13_298,refute_13_311]) ).
cnf(refute_13_313,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_13_109]) ).
cnf(refute_13_314,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_13_315,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_13_316,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_13_314,refute_13_315]) ).
cnf(refute_13_317,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_13_35,refute_13_316]) ).
cnf(refute_13_318,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_13_319,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_13_317,refute_13_318]) ).
cnf(refute_13_320,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_13_312,refute_13_319]) ).
cnf(refute_13_321,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_13_322,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_13_320,refute_13_321]) ).
cnf(refute_13_323,plain,
h12(op1(e10,e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_13_313,refute_13_322]) ).
cnf(refute_13_324,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = h12(op1(e10,e13)) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h12(op1(e10,e13)))),bind(Y,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_13_325,plain,
op2(e22,h12(e10)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_13_323,refute_13_324]) ).
cnf(refute_13_326,plain,
( op2(e22,h12(e10)) != h12(op1(e10,e13))
| op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) ),[1],$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_13_327,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),e22) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h12(op1(e10,e13))) )],[refute_13_325,refute_13_326]) ).
cnf(refute_13_328,plain,
op2(h12(e10),e22) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_13_312,refute_13_327]) ).
cnf(refute_13_329,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_13_110]) ).
cnf(refute_13_330,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_13_331,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_13_329,refute_13_330]) ).
cnf(refute_13_332,plain,
op2(h12(e10),e22) = op2(h12(e10),e22),
introduced(tautology,[refl,[$fot(op2(h12(e10),e22))]]) ).
cnf(refute_13_333,plain,
( h12(e10) != e20
| op2(h12(e10),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_334,plain,
( h12(e10) != e20
| op2(h12(e10),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) )],[refute_13_332,refute_13_333]) ).
cnf(refute_13_335,plain,
op2(h12(e10),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_13_156,refute_13_334]) ).
cnf(refute_13_336,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) != op2(e20,e22)
| op2(h12(e10),e22) = h2(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h12(e10),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_13_337,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e20,e22)) )],[refute_13_335,refute_13_336]) ).
cnf(refute_13_338,plain,
op2(h12(e10),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_13_331,refute_13_337]) ).
cnf(refute_13_339,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| op2(h12(e10),e22) != h2(e11)
| h2(e11) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_13_340,plain,
( op2(h12(e10),e22) != h12(op1(e10,e13))
| h2(e11) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h2(e11)) )],[refute_13_338,refute_13_339]) ).
cnf(refute_13_341,plain,
h2(e11) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h12(op1(e10,e13))) )],[refute_13_328,refute_13_340]) ).
cnf(refute_13_342,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(canonicalize,[],[normalize_13_111]) ).
cnf(refute_13_343,plain,
op2(op2(e20,e22),e20) = op2(op2(e20,e22),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e20))]]) ).
cnf(refute_13_344,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e20) != op2(op2(e20,e22),e20)
| op2(op2(e20,e22),e20) = op2(h2(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e20),op2(op2(e20,e22),e20)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_13_345,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e20) = op2(h2(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(op2(e20,e22),e20)) )],[refute_13_343,refute_13_344]) ).
cnf(refute_13_346,plain,
op2(op2(e20,e22),e20) = op2(h2(e11),e20),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_13_331,refute_13_345]) ).
cnf(refute_13_347,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(op2(e20,e22),e20) != op2(h2(e11),e20)
| op2(h2(e11),e20) = op2(e20,op2(e22,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e20),op2(e20,op2(e22,e20))) ),[0],$fot(op2(h2(e11),e20))]]) ).
cnf(refute_13_348,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,op2(e22,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(h2(e11),e20)) )],[refute_13_346,refute_13_347]) ).
cnf(refute_13_349,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_13_112]) ).
cnf(refute_13_350,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_13_351,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_13_349,refute_13_350]) ).
cnf(refute_13_352,plain,
op2(e20,op2(e22,e20)) = op2(e20,op2(e22,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e20)))]]) ).
cnf(refute_13_353,plain,
( op2(e20,op2(e22,e20)) != op2(e20,op2(e22,e20))
| op2(e22,e20) != h7(e11)
| op2(e20,op2(e22,e20)) = op2(e20,h7(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) ),[1,1],$fot(h7(e11))]]) ).
cnf(refute_13_354,plain,
( op2(e22,e20) != h7(e11)
| op2(e20,op2(e22,e20)) = op2(e20,h7(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,op2(e22,e20))) )],[refute_13_352,refute_13_353]) ).
cnf(refute_13_355,plain,
op2(e20,op2(e22,e20)) = op2(e20,h7(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_13_351,refute_13_354]) ).
cnf(refute_13_356,plain,
( op2(e20,op2(e22,e20)) != op2(e20,h7(e11))
| op2(h2(e11),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,h7(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),op2(e20,op2(e22,e20))) ),[1],$fot(op2(e20,h7(e11)))]]) ).
cnf(refute_13_357,plain,
( op2(h2(e11),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,h7(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e20,h7(e11))) )],[refute_13_355,refute_13_356]) ).
cnf(refute_13_358,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(h2(e11),e20) = op2(e20,h7(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(e20,op2(e22,e20))) )],[refute_13_348,refute_13_357]) ).
cnf(refute_13_359,plain,
op2(h2(e11),e20) = op2(e20,h7(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(e20,op2(e22,e20))) )],[refute_13_342,refute_13_358]) ).
cnf(refute_13_360,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_113]) ).
cnf(refute_13_361,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_13_114]) ).
cnf(refute_13_362,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_13_363,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_13_361,refute_13_362]) ).
cnf(refute_13_364,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_13_365,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_366,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_13_364,refute_13_365]) ).
cnf(refute_13_367,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_10,refute_13_366]) ).
cnf(refute_13_368,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_13_369,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_13_367,refute_13_368]) ).
cnf(refute_13_370,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_369]) ).
cnf(refute_13_371,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_13_372,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_13_370,refute_13_371]) ).
cnf(refute_13_373,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_13_374,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_375,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_13_373,refute_13_374]) ).
cnf(refute_13_376,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_97,refute_13_375]) ).
cnf(refute_13_377,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_13_378,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_13_376,refute_13_377]) ).
cnf(refute_13_379,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_13_351,refute_13_378]) ).
cnf(refute_13_380,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_13_381,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_13_379,refute_13_380]) ).
cnf(refute_13_382,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_13_372,refute_13_381]) ).
cnf(refute_13_383,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_13_360,refute_13_382]) ).
cnf(refute_13_384,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_13_385,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_13_383,refute_13_384]) ).
cnf(refute_13_386,plain,
op2(e20,h7(e11)) = op2(e20,h7(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h7(e11)))]]) ).
cnf(refute_13_387,plain,
( h7(e11) != h6(e11)
| op2(e20,h7(e11)) != op2(e20,h7(e11))
| op2(e20,h7(e11)) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h7(e11)),op2(e20,h7(e11))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_13_388,plain,
( h7(e11) != h6(e11)
| op2(e20,h7(e11)) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h7(e11)),op2(e20,h7(e11))) )],[refute_13_386,refute_13_387]) ).
cnf(refute_13_389,plain,
op2(e20,h7(e11)) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_13_385,refute_13_388]) ).
cnf(refute_13_390,plain,
( op2(e20,h7(e11)) != op2(e20,h6(e11))
| op2(h2(e11),e20) != op2(e20,h7(e11))
| op2(h2(e11),e20) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h7(e11))) ),[1],$fot(op2(e20,h6(e11)))]]) ).
cnf(refute_13_391,plain,
( op2(h2(e11),e20) != op2(e20,h7(e11))
| op2(h2(e11),e20) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h7(e11)),op2(e20,h6(e11))) )],[refute_13_389,refute_13_390]) ).
cnf(refute_13_392,plain,
op2(h2(e11),e20) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h7(e11))) )],[refute_13_359,refute_13_391]) ).
cnf(refute_13_393,plain,
op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23)),
inference(canonicalize,[],[normalize_13_115]) ).
cnf(refute_13_394,plain,
h4(e11) = op2(e21,e20),
inference(canonicalize,[],[normalize_13_116]) ).
cnf(refute_13_395,plain,
( h4(e11) != op2(e21,e20)
| op2(e21,e20) = h4(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_13_396,plain,
op2(e21,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_13_394,refute_13_395]) ).
cnf(refute_13_397,plain,
op2(op2(e21,e20),e23) = op2(op2(e21,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e23))]]) ).
cnf(refute_13_398,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e23) != op2(op2(e21,e20),e23)
| op2(op2(e21,e20),e23) = op2(h4(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e21,e20),e23)) ),[1,0],$fot(h4(e11))]]) ).
cnf(refute_13_399,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e23) = op2(h4(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e21,e20),e23)) )],[refute_13_397,refute_13_398]) ).
cnf(refute_13_400,plain,
op2(op2(e21,e20),e23) = op2(h4(e11),e23),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_13_396,refute_13_399]) ).
cnf(refute_13_401,plain,
( op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| op2(op2(e21,e20),e23) != op2(h4(e11),e23)
| op2(h4(e11),e23) = op2(e21,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e23),op2(e21,op2(e20,e23))) ),[0],$fot(op2(h4(e11),e23))]]) ).
cnf(refute_13_402,plain,
( op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| op2(h4(e11),e23) = op2(e21,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(h4(e11),e23)) )],[refute_13_400,refute_13_401]) ).
cnf(refute_13_403,plain,
op2(e21,op2(e20,e23)) = op2(e21,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e23)))]]) ).
cnf(refute_13_404,plain,
( op2(e20,e23) != h3(e11)
| op2(e21,op2(e20,e23)) != op2(e21,op2(e20,e23))
| op2(e21,op2(e20,e23)) = op2(e21,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,op2(e20,e23))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_13_405,plain,
( op2(e20,e23) != h3(e11)
| op2(e21,op2(e20,e23)) = op2(e21,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,op2(e20,e23))) )],[refute_13_403,refute_13_404]) ).
cnf(refute_13_406,plain,
op2(e21,op2(e20,e23)) = op2(e21,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_94,refute_13_405]) ).
cnf(refute_13_407,plain,
( op2(e21,op2(e20,e23)) != op2(e21,h3(e11))
| op2(h4(e11),e23) != op2(e21,op2(e20,e23))
| op2(h4(e11),e23) = op2(e21,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e23),op2(e21,op2(e20,e23))) ),[1],$fot(op2(e21,h3(e11)))]]) ).
cnf(refute_13_408,plain,
( op2(h4(e11),e23) != op2(e21,op2(e20,e23))
| op2(h4(e11),e23) = op2(e21,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,h3(e11))) )],[refute_13_406,refute_13_407]) ).
cnf(refute_13_409,plain,
( op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| op2(h4(e11),e23) = op2(e21,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(e21,op2(e20,e23))) )],[refute_13_402,refute_13_408]) ).
cnf(refute_13_410,plain,
op2(h4(e11),e23) = op2(e21,h3(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(e21,op2(e20,e23))) )],[refute_13_393,refute_13_409]) ).
cnf(refute_13_411,plain,
op2(e21,h3(e11)) = op2(e21,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e11)))]]) ).
cnf(refute_13_412,plain,
( h3(e11) != h10(e11)
| op2(e21,h3(e11)) != op2(e21,h3(e11))
| op2(e21,h3(e11)) = op2(e21,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_13_413,plain,
( h3(e11) != h10(e11)
| op2(e21,h3(e11)) = op2(e21,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) )],[refute_13_411,refute_13_412]) ).
cnf(refute_13_414,plain,
op2(e21,h3(e11)) = op2(e21,h10(e11)),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_13_120,refute_13_413]) ).
cnf(refute_13_415,plain,
( op2(e21,h3(e11)) != op2(e21,h10(e11))
| op2(h4(e11),e23) != op2(e21,h3(e11))
| op2(h4(e11),e23) = op2(e21,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e23),op2(e21,h3(e11))) ),[1],$fot(op2(e21,h10(e11)))]]) ).
cnf(refute_13_416,plain,
( op2(h4(e11),e23) != op2(e21,h3(e11))
| op2(h4(e11),e23) = op2(e21,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h10(e11))) )],[refute_13_414,refute_13_415]) ).
cnf(refute_13_417,plain,
op2(h4(e11),e23) = op2(e21,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(e21,h3(e11))) )],[refute_13_410,refute_13_416]) ).
cnf(refute_13_418,plain,
op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)),
inference(canonicalize,[],[normalize_13_117]) ).
cnf(refute_13_419,plain,
op2(op2(e22,e20),e20) = op2(op2(e22,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e20),e20))]]) ).
cnf(refute_13_420,plain,
( op2(e22,e20) != h7(e11)
| op2(op2(e22,e20),e20) != op2(op2(e22,e20),e20)
| op2(op2(e22,e20),e20) = op2(h7(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e20),op2(op2(e22,e20),e20)) ),[1,0],$fot(h7(e11))]]) ).
cnf(refute_13_421,plain,
( op2(e22,e20) != h7(e11)
| op2(op2(e22,e20),e20) = op2(h7(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),op2(op2(e22,e20),e20)) )],[refute_13_419,refute_13_420]) ).
cnf(refute_13_422,plain,
op2(op2(e22,e20),e20) = op2(h7(e11),e20),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_13_351,refute_13_421]) ).
cnf(refute_13_423,plain,
( op2(op2(e22,e20),e20) != op2(e22,op2(e20,e20))
| op2(op2(e22,e20),e20) != op2(h7(e11),e20)
| op2(h7(e11),e20) = op2(e22,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e20),op2(e22,op2(e20,e20))) ),[0],$fot(op2(h7(e11),e20))]]) ).
cnf(refute_13_424,plain,
( op2(op2(e22,e20),e20) != op2(e22,op2(e20,e20))
| op2(h7(e11),e20) = op2(e22,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),op2(h7(e11),e20)) )],[refute_13_422,refute_13_423]) ).
cnf(refute_13_425,plain,
h10(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_13_118]) ).
cnf(refute_13_426,plain,
h4(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_13_119]) ).
cnf(refute_13_427,plain,
( h4(e10) != op2(e20,e20)
| op2(e20,e20) = h4(e10) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h4(e10))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_13_428,plain,
op2(e20,e20) = h4(e10),
inference(resolve,[$cnf( $equal(h4(e10),op2(e20,e20)) )],[refute_13_426,refute_13_427]) ).
cnf(refute_13_429,plain,
( h10(e10) != op2(e20,e20)
| op2(e20,e20) != h4(e10)
| h10(e10) = h4(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e10),h4(e10)) ),[0],$fot(op2(e20,e20))]]) ).
cnf(refute_13_430,plain,
( h10(e10) != op2(e20,e20)
| h10(e10) = h4(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_13_428,refute_13_429]) ).
cnf(refute_13_431,plain,
h10(e10) = h4(e10),
inference(resolve,[$cnf( $equal(h10(e10),op2(e20,e20)) )],[refute_13_425,refute_13_430]) ).
cnf(refute_13_432,plain,
( h10(e10) != h4(e10)
| h4(e10) = h10(e10) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h10(e10))),bind(Y,$fot(h4(e10)))]]) ).
cnf(refute_13_433,plain,
h4(e10) = h10(e10),
inference(resolve,[$cnf( $equal(h10(e10),h4(e10)) )],[refute_13_431,refute_13_432]) ).
cnf(refute_13_434,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) != h4(e10)
| op2(e20,e20) = h10(e10) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h10(e10)))]]) ).
cnf(refute_13_435,plain,
( h4(e10) != h10(e10)
| op2(e20,e20) = h10(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h4(e10)) )],[refute_13_428,refute_13_434]) ).
cnf(refute_13_436,plain,
op2(e20,e20) = h10(e10),
inference(resolve,[$cnf( $equal(h4(e10),h10(e10)) )],[refute_13_433,refute_13_435]) ).
cnf(refute_13_437,plain,
op2(e22,op2(e20,e20)) = op2(e22,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e20)))]]) ).
cnf(refute_13_438,plain,
( op2(e20,e20) != h10(e10)
| op2(e22,op2(e20,e20)) != op2(e22,op2(e20,e20))
| op2(e22,op2(e20,e20)) = op2(e22,h10(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e20)),op2(e22,op2(e20,e20))) ),[1,1],$fot(h10(e10))]]) ).
cnf(refute_13_439,plain,
( op2(e20,e20) != h10(e10)
| op2(e22,op2(e20,e20)) = op2(e22,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e20)),op2(e22,op2(e20,e20))) )],[refute_13_437,refute_13_438]) ).
cnf(refute_13_440,plain,
op2(e22,op2(e20,e20)) = op2(e22,h10(e10)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_13_436,refute_13_439]) ).
cnf(refute_13_441,plain,
( op2(e22,op2(e20,e20)) != op2(e22,h10(e10))
| op2(h7(e11),e20) != op2(e22,op2(e20,e20))
| op2(h7(e11),e20) = op2(e22,h10(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h7(e11),e20),op2(e22,op2(e20,e20))) ),[1],$fot(op2(e22,h10(e10)))]]) ).
cnf(refute_13_442,plain,
( op2(h7(e11),e20) != op2(e22,op2(e20,e20))
| op2(h7(e11),e20) = op2(e22,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e20)),op2(e22,h10(e10))) )],[refute_13_440,refute_13_441]) ).
cnf(refute_13_443,plain,
( op2(op2(e22,e20),e20) != op2(e22,op2(e20,e20))
| op2(h7(e11),e20) = op2(e22,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e20),op2(e22,op2(e20,e20))) )],[refute_13_424,refute_13_442]) ).
cnf(refute_13_444,plain,
op2(h7(e11),e20) = op2(e22,h10(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),op2(e22,op2(e20,e20))) )],[refute_13_418,refute_13_443]) ).
cnf(refute_13_445,plain,
op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20)),
inference(canonicalize,[],[normalize_13_120]) ).
cnf(refute_13_446,plain,
op2(op2(e21,e23),e20) = op2(op2(e21,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e20))]]) ).
cnf(refute_13_447,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e20) != op2(op2(e21,e23),e20)
| op2(op2(e21,e23),e20) = op2(h6(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e20),op2(op2(e21,e23),e20)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_13_448,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e20) = op2(h6(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),op2(op2(e21,e23),e20)) )],[refute_13_446,refute_13_447]) ).
cnf(refute_13_449,plain,
op2(op2(e21,e23),e20) = op2(h6(e11),e20),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_448]) ).
cnf(refute_13_450,plain,
( op2(op2(e21,e23),e20) != op2(e21,op2(e23,e20))
| op2(op2(e21,e23),e20) != op2(h6(e11),e20)
| op2(h6(e11),e20) = op2(e21,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e20),op2(e21,op2(e23,e20))) ),[0],$fot(op2(h6(e11),e20))]]) ).
cnf(refute_13_451,plain,
( op2(op2(e21,e23),e20) != op2(e21,op2(e23,e20))
| op2(h6(e11),e20) = op2(e21,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),op2(h6(e11),e20)) )],[refute_13_449,refute_13_450]) ).
cnf(refute_13_452,plain,
op2(e21,op2(e23,e20)) = op2(e21,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e20)))]]) ).
cnf(refute_13_453,plain,
( op2(e21,op2(e23,e20)) != op2(e21,op2(e23,e20))
| op2(e23,e20) != h10(e11)
| op2(e21,op2(e23,e20)) = op2(e21,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e20)),op2(e21,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_13_454,plain,
( op2(e23,e20) != h10(e11)
| op2(e21,op2(e23,e20)) = op2(e21,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e20)),op2(e21,op2(e23,e20))) )],[refute_13_452,refute_13_453]) ).
cnf(refute_13_455,plain,
op2(e21,op2(e23,e20)) = op2(e21,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_13_109,refute_13_454]) ).
cnf(refute_13_456,plain,
( op2(e21,op2(e23,e20)) != op2(e21,h10(e11))
| op2(h6(e11),e20) != op2(e21,op2(e23,e20))
| op2(h6(e11),e20) = op2(e21,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e20),op2(e21,op2(e23,e20))) ),[1],$fot(op2(e21,h10(e11)))]]) ).
cnf(refute_13_457,plain,
( op2(h6(e11),e20) != op2(e21,op2(e23,e20))
| op2(h6(e11),e20) = op2(e21,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e20)),op2(e21,h10(e11))) )],[refute_13_455,refute_13_456]) ).
cnf(refute_13_458,plain,
( op2(op2(e21,e23),e20) != op2(e21,op2(e23,e20))
| op2(h6(e11),e20) = op2(e21,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e20),op2(e21,op2(e23,e20))) )],[refute_13_451,refute_13_457]) ).
cnf(refute_13_459,plain,
op2(h6(e11),e20) = op2(e21,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),op2(e21,op2(e23,e20))) )],[refute_13_445,refute_13_458]) ).
cnf(refute_13_460,plain,
op2(h7(e11),e20) = op2(h7(e11),e20),
introduced(tautology,[refl,[$fot(op2(h7(e11),e20))]]) ).
cnf(refute_13_461,plain,
( h7(e11) != h6(e11)
| op2(h7(e11),e20) != op2(h7(e11),e20)
| op2(h7(e11),e20) = op2(h6(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h7(e11),e20),op2(h7(e11),e20)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_13_462,plain,
( h7(e11) != h6(e11)
| op2(h7(e11),e20) = op2(h6(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e20),op2(h7(e11),e20)) )],[refute_13_460,refute_13_461]) ).
cnf(refute_13_463,plain,
op2(h7(e11),e20) = op2(h6(e11),e20),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_13_385,refute_13_462]) ).
cnf(refute_13_464,plain,
( op2(h6(e11),e20) != op2(e21,h10(e11))
| op2(h7(e11),e20) != op2(h6(e11),e20)
| op2(h7(e11),e20) = op2(e21,h10(e11)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h7(e11),e20))),bind(Y,$fot(op2(h6(e11),e20))),bind(Z,$fot(op2(e21,h10(e11))))]]) ).
cnf(refute_13_465,plain,
( op2(h6(e11),e20) != op2(e21,h10(e11))
| op2(h7(e11),e20) = op2(e21,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e20),op2(h6(e11),e20)) )],[refute_13_463,refute_13_464]) ).
cnf(refute_13_466,plain,
op2(h7(e11),e20) = op2(e21,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h6(e11),e20),op2(e21,h10(e11))) )],[refute_13_459,refute_13_465]) ).
cnf(refute_13_467,plain,
( op2(h7(e11),e20) != op2(e21,h10(e11))
| op2(h7(e11),e20) != op2(e22,h10(e10))
| op2(e21,h10(e11)) = op2(e22,h10(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h7(e11),e20),op2(e22,h10(e10))) ),[0],$fot(op2(e21,h10(e11)))]]) ).
cnf(refute_13_468,plain,
( op2(h7(e11),e20) != op2(e22,h10(e10))
| op2(e21,h10(e11)) = op2(e22,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e20),op2(e21,h10(e11))) )],[refute_13_466,refute_13_467]) ).
cnf(refute_13_469,plain,
op2(e21,h10(e11)) = op2(e22,h10(e10)),
inference(resolve,[$cnf( $equal(op2(h7(e11),e20),op2(e22,h10(e10))) )],[refute_13_444,refute_13_468]) ).
cnf(refute_13_470,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_13_471,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_13_385,refute_13_470]) ).
cnf(refute_13_472,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_13_349,refute_13_471]) ).
cnf(refute_13_473,plain,
( h6(e11) != op2(e22,e20)
| op2(e22,e20) = h6(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_13_474,plain,
op2(e22,e20) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_13_472,refute_13_473]) ).
cnf(refute_13_475,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_13_121]) ).
cnf(refute_13_476,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h10(e10)
| h10(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h10(e10))]]) ).
cnf(refute_13_477,plain,
( op2(e20,e20) != e20
| h10(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_13_436,refute_13_476]) ).
cnf(refute_13_478,plain,
( h10(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_13_475,refute_13_477]) ).
cnf(refute_13_479,plain,
h10(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_13_478,refute_13_155]) ).
cnf(refute_13_480,plain,
op2(e22,h10(e10)) = op2(e22,h10(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h10(e10)))]]) ).
cnf(refute_13_481,plain,
( h10(e10) != e20
| op2(e22,h10(e10)) != op2(e22,h10(e10))
| op2(e22,h10(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h10(e10)),op2(e22,h10(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_482,plain,
( h10(e10) != e20
| op2(e22,h10(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h10(e10)),op2(e22,h10(e10))) )],[refute_13_480,refute_13_481]) ).
cnf(refute_13_483,plain,
op2(e22,h10(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h10(e10),e20) )],[refute_13_479,refute_13_482]) ).
cnf(refute_13_484,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h10(e10)) != op2(e22,e20)
| op2(e22,h10(e10)) = h6(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e22,h10(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_13_485,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h10(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h10(e10)),op2(e22,e20)) )],[refute_13_483,refute_13_484]) ).
cnf(refute_13_486,plain,
op2(e22,h10(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_13_474,refute_13_485]) ).
cnf(refute_13_487,plain,
( op2(e21,h10(e11)) != op2(e22,h10(e10))
| op2(e22,h10(e10)) != h6(e11)
| op2(e21,h10(e11)) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,h10(e11)),h6(e11)) ),[0],$fot(op2(e22,h10(e10)))]]) ).
cnf(refute_13_488,plain,
( op2(e21,h10(e11)) != op2(e22,h10(e10))
| op2(e21,h10(e11)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h10(e10)),h6(e11)) )],[refute_13_486,refute_13_487]) ).
cnf(refute_13_489,plain,
op2(e21,h10(e11)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,h10(e11)),op2(e22,h10(e10))) )],[refute_13_469,refute_13_488]) ).
cnf(refute_13_490,plain,
( op2(e21,h10(e11)) != h6(e11)
| op2(h4(e11),e23) != op2(e21,h10(e11))
| op2(h4(e11),e23) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e23),op2(e21,h10(e11))) ),[1],$fot(h6(e11))]]) ).
cnf(refute_13_491,plain,
( op2(h4(e11),e23) != op2(e21,h10(e11))
| op2(h4(e11),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h10(e11)),h6(e11)) )],[refute_13_489,refute_13_490]) ).
cnf(refute_13_492,plain,
op2(h4(e11),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(e21,h10(e11))) )],[refute_13_417,refute_13_491]) ).
cnf(refute_13_493,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(canonicalize,[],[normalize_13_122]) ).
cnf(refute_13_494,plain,
h1(e11) = op2(e20,e21),
inference(canonicalize,[],[normalize_13_123]) ).
cnf(refute_13_495,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_13_496,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_13_494,refute_13_495]) ).
cnf(refute_13_497,plain,
op2(op2(e20,e21),e23) = op2(op2(e20,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e21),e23))]]) ).
cnf(refute_13_498,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e23) != op2(op2(e20,e21),e23)
| op2(op2(e20,e21),e23) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(op2(e20,e21),e23)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_13_499,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e23) = op2(h1(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(op2(e20,e21),e23)) )],[refute_13_497,refute_13_498]) ).
cnf(refute_13_500,plain,
op2(op2(e20,e21),e23) = op2(h1(e11),e23),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_13_496,refute_13_499]) ).
cnf(refute_13_501,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(op2(e20,e21),e23) != op2(h1(e11),e23)
| op2(h1(e11),e23) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) ),[0],$fot(op2(h1(e11),e23))]]) ).
cnf(refute_13_502,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(h1(e11),e23)) )],[refute_13_500,refute_13_501]) ).
cnf(refute_13_503,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_13_504,plain,
( op2(e20,op2(e21,e23)) != op2(e20,op2(e21,e23))
| op2(e21,e23) != h6(e11)
| op2(e20,op2(e21,e23)) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_13_505,plain,
( op2(e21,e23) != h6(e11)
| op2(e20,op2(e21,e23)) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) )],[refute_13_503,refute_13_504]) ).
cnf(refute_13_506,plain,
op2(e20,op2(e21,e23)) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_505]) ).
cnf(refute_13_507,plain,
( op2(e20,op2(e21,e23)) != op2(e20,h6(e11))
| op2(h1(e11),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e23),op2(e20,op2(e21,e23))) ),[1],$fot(op2(e20,h6(e11)))]]) ).
cnf(refute_13_508,plain,
( op2(h1(e11),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,h6(e11))) )],[refute_13_506,refute_13_507]) ).
cnf(refute_13_509,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(h1(e11),e23) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e23),op2(e20,op2(e21,e23))) )],[refute_13_502,refute_13_508]) ).
cnf(refute_13_510,plain,
op2(h1(e11),e23) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) )],[refute_13_493,refute_13_509]) ).
cnf(refute_13_511,plain,
op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
inference(canonicalize,[],[normalize_13_124]) ).
cnf(refute_13_512,plain,
op2(op2(e22,e22),e21) = op2(op2(e22,e22),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e21))]]) ).
cnf(refute_13_513,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e21) != op2(op2(e22,e22),e21)
| op2(op2(e22,e22),e21) = op2(h12(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e21),op2(op2(e22,e22),e21)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_13_514,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e21) = op2(h12(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e21),op2(op2(e22,e22),e21)) )],[refute_13_512,refute_13_513]) ).
cnf(refute_13_515,plain,
op2(op2(e22,e22),e21) = op2(h12(e10),e21),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_13_59,refute_13_514]) ).
cnf(refute_13_516,plain,
( op2(op2(e22,e22),e21) != op2(e22,op2(e22,e21))
| op2(op2(e22,e22),e21) != op2(h12(e10),e21)
| op2(h12(e10),e21) = op2(e22,op2(e22,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e21),op2(e22,op2(e22,e21))) ),[0],$fot(op2(h12(e10),e21))]]) ).
cnf(refute_13_517,plain,
( op2(op2(e22,e22),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,op2(e22,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e21),op2(h12(e10),e21)) )],[refute_13_515,refute_13_516]) ).
cnf(refute_13_518,plain,
op2(e22,op2(e22,e21)) = op2(e22,op2(e22,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e21)))]]) ).
cnf(refute_13_519,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e21)) != op2(e22,op2(e22,e21))
| op2(e22,op2(e22,e21)) = op2(e22,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e21)),op2(e22,op2(e22,e21))) ),[1,1],$fot(h8(e11))]]) ).
cnf(refute_13_520,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e21)) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),op2(e22,op2(e22,e21))) )],[refute_13_518,refute_13_519]) ).
cnf(refute_13_521,plain,
op2(e22,op2(e22,e21)) = op2(e22,h8(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_13_68,refute_13_520]) ).
cnf(refute_13_522,plain,
( op2(e22,op2(e22,e21)) != op2(e22,h8(e11))
| op2(h12(e10),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e21),op2(e22,op2(e22,e21))) ),[1],$fot(op2(e22,h8(e11)))]]) ).
cnf(refute_13_523,plain,
( op2(h12(e10),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),op2(e22,h8(e11))) )],[refute_13_521,refute_13_522]) ).
cnf(refute_13_524,plain,
( op2(op2(e22,e22),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(e22,op2(e22,e21))) )],[refute_13_517,refute_13_523]) ).
cnf(refute_13_525,plain,
op2(h12(e10),e21) = op2(e22,h8(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e21),op2(e22,op2(e22,e21))) )],[refute_13_511,refute_13_524]) ).
cnf(refute_13_526,plain,
op2(h12(e10),e21) = op2(h12(e10),e21),
introduced(tautology,[refl,[$fot(op2(h12(e10),e21))]]) ).
cnf(refute_13_527,plain,
( h12(e10) != e20
| op2(h12(e10),e21) != op2(h12(e10),e21)
| op2(h12(e10),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e21),op2(h12(e10),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_528,plain,
( h12(e10) != e20
| op2(h12(e10),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(h12(e10),e21)) )],[refute_13_526,refute_13_527]) ).
cnf(refute_13_529,plain,
op2(h12(e10),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_13_156,refute_13_528]) ).
cnf(refute_13_530,plain,
( op2(e20,e21) != h1(e11)
| op2(h12(e10),e21) != op2(e20,e21)
| op2(h12(e10),e21) = h1(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h12(e10),e21))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_13_531,plain,
( op2(e20,e21) != h1(e11)
| op2(h12(e10),e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(e20,e21)) )],[refute_13_529,refute_13_530]) ).
cnf(refute_13_532,plain,
op2(h12(e10),e21) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_13_496,refute_13_531]) ).
cnf(refute_13_533,plain,
( op2(h12(e10),e21) != h1(e11)
| op2(h12(e10),e21) != op2(e22,h8(e11))
| h1(e11) = op2(e22,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e21),op2(e22,h8(e11))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_13_534,plain,
( op2(h12(e10),e21) != op2(e22,h8(e11))
| h1(e11) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),h1(e11)) )],[refute_13_532,refute_13_533]) ).
cnf(refute_13_535,plain,
h1(e11) = op2(e22,h8(e11)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(e22,h8(e11))) )],[refute_13_525,refute_13_534]) ).
cnf(refute_13_536,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(canonicalize,[],[normalize_13_125]) ).
cnf(refute_13_537,plain,
op2(op2(e22,e23),e20) = op2(op2(e22,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e20))]]) ).
cnf(refute_13_538,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) != op2(op2(e22,e23),e20)
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_539,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) )],[refute_13_537,refute_13_538]) ).
cnf(refute_13_540,plain,
op2(op2(e22,e23),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_10,refute_13_539]) ).
cnf(refute_13_541,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e21,e20)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(op2(e22,e23),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_13_542,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e21,e20)) )],[refute_13_540,refute_13_541]) ).
cnf(refute_13_543,plain,
op2(op2(e22,e23),e20) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_13_396,refute_13_542]) ).
cnf(refute_13_544,plain,
( op2(op2(e22,e23),e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) ),[0],$fot(h4(e11))]]) ).
cnf(refute_13_545,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),h4(e11)) )],[refute_13_543,refute_13_544]) ).
cnf(refute_13_546,plain,
op2(e22,op2(e23,e20)) = op2(e22,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_13_547,plain,
( op2(e22,op2(e23,e20)) != op2(e22,op2(e23,e20))
| op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_13_548,plain,
( op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) )],[refute_13_546,refute_13_547]) ).
cnf(refute_13_549,plain,
op2(e22,op2(e23,e20)) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_13_109,refute_13_548]) ).
cnf(refute_13_550,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| op2(e22,op2(e23,e20)) != op2(e22,h10(e11))
| h4(e11) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(e22,h10(e11))) ),[0],$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_13_551,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,h10(e11))) )],[refute_13_549,refute_13_550]) ).
cnf(refute_13_552,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,op2(e23,e20))) )],[refute_13_545,refute_13_551]) ).
cnf(refute_13_553,plain,
h4(e11) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) )],[refute_13_536,refute_13_552]) ).
cnf(refute_13_554,plain,
( h4(e11) != op2(e22,h10(e11))
| op2(e22,h10(e11)) = h4(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e22,h10(e11))))]]) ).
cnf(refute_13_555,plain,
op2(e22,h10(e11)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,h10(e11))) )],[refute_13_553,refute_13_554]) ).
cnf(refute_13_556,plain,
op2(e22,h8(e11)) = op2(e22,h8(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h8(e11)))]]) ).
cnf(refute_13_557,plain,
( h8(e11) != h10(e11)
| op2(e22,h8(e11)) != op2(e22,h8(e11))
| op2(e22,h8(e11)) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h8(e11)),op2(e22,h8(e11))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_13_558,plain,
( h8(e11) != h10(e11)
| op2(e22,h8(e11)) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,h8(e11)),op2(e22,h8(e11))) )],[refute_13_556,refute_13_557]) ).
cnf(refute_13_559,plain,
op2(e22,h8(e11)) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_13_168,refute_13_558]) ).
cnf(refute_13_560,plain,
( op2(e22,h10(e11)) != h4(e11)
| op2(e22,h8(e11)) != op2(e22,h10(e11))
| op2(e22,h8(e11)) = h4(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e22,h8(e11)))),bind(Y,$fot(op2(e22,h10(e11)))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_13_561,plain,
( op2(e22,h10(e11)) != h4(e11)
| op2(e22,h8(e11)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h8(e11)),op2(e22,h10(e11))) )],[refute_13_559,refute_13_560]) ).
cnf(refute_13_562,plain,
op2(e22,h8(e11)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e22,h10(e11)),h4(e11)) )],[refute_13_555,refute_13_561]) ).
cnf(refute_13_563,plain,
( h1(e11) != op2(e22,h8(e11))
| op2(e22,h8(e11)) != h4(e11)
| h1(e11) = h4(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h4(e11)) ),[0],$fot(op2(e22,h8(e11)))]]) ).
cnf(refute_13_564,plain,
( h1(e11) != op2(e22,h8(e11))
| h1(e11) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h8(e11)),h4(e11)) )],[refute_13_562,refute_13_563]) ).
cnf(refute_13_565,plain,
h1(e11) = h4(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,h8(e11))) )],[refute_13_535,refute_13_564]) ).
cnf(refute_13_566,plain,
( h1(e11) != h4(e11)
| h4(e11) = h1(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_13_567,plain,
h4(e11) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h4(e11)) )],[refute_13_565,refute_13_566]) ).
cnf(refute_13_568,plain,
op2(h4(e11),e23) = op2(h4(e11),e23),
introduced(tautology,[refl,[$fot(op2(h4(e11),e23))]]) ).
cnf(refute_13_569,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e23) != op2(h4(e11),e23)
| op2(h4(e11),e23) = op2(h1(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e23),op2(h4(e11),e23)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_13_570,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e23) = op2(h1(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(h4(e11),e23)) )],[refute_13_568,refute_13_569]) ).
cnf(refute_13_571,plain,
op2(h4(e11),e23) = op2(h1(e11),e23),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_13_567,refute_13_570]) ).
cnf(refute_13_572,plain,
( op2(h1(e11),e23) != op2(e20,h6(e11))
| op2(h4(e11),e23) != op2(h1(e11),e23)
| op2(h4(e11),e23) = op2(e20,h6(e11)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h4(e11),e23))),bind(Y,$fot(op2(h1(e11),e23))),bind(Z,$fot(op2(e20,h6(e11))))]]) ).
cnf(refute_13_573,plain,
( op2(h1(e11),e23) != op2(e20,h6(e11))
| op2(h4(e11),e23) = op2(e20,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(h1(e11),e23)) )],[refute_13_571,refute_13_572]) ).
cnf(refute_13_574,plain,
op2(h4(e11),e23) = op2(e20,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),e23),op2(e20,h6(e11))) )],[refute_13_510,refute_13_573]) ).
cnf(refute_13_575,plain,
( op2(h4(e11),e23) != h6(e11)
| op2(h4(e11),e23) != op2(e20,h6(e11))
| op2(e20,h6(e11)) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e23),h6(e11)) ),[0],$fot(op2(e20,h6(e11)))]]) ).
cnf(refute_13_576,plain,
( op2(h4(e11),e23) != h6(e11)
| op2(e20,h6(e11)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),op2(e20,h6(e11))) )],[refute_13_574,refute_13_575]) ).
cnf(refute_13_577,plain,
op2(e20,h6(e11)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h4(e11),e23),h6(e11)) )],[refute_13_492,refute_13_576]) ).
cnf(refute_13_578,plain,
( op2(e20,h6(e11)) != h6(e11)
| op2(h2(e11),e20) != op2(e20,h6(e11))
| op2(h2(e11),e20) = h6(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h6(e11))) ),[1],$fot(h6(e11))]]) ).
cnf(refute_13_579,plain,
( op2(h2(e11),e20) != op2(e20,h6(e11))
| op2(h2(e11),e20) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h6(e11)),h6(e11)) )],[refute_13_577,refute_13_578]) ).
cnf(refute_13_580,plain,
op2(h2(e11),e20) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),op2(e20,h6(e11))) )],[refute_13_392,refute_13_579]) ).
cnf(refute_13_581,plain,
( h2(e11) != h12(op1(e10,e13))
| h12(op1(e10,e13)) = h2(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(h12(op1(e10,e13))))]]) ).
cnf(refute_13_582,plain,
h12(op1(e10,e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h12(op1(e10,e13))) )],[refute_13_341,refute_13_581]) ).
cnf(refute_13_583,plain,
( h12(op1(e10,e13)) != h2(e11)
| h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_13_584,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) )],[refute_13_582,refute_13_583]) ).
cnf(refute_13_585,plain,
op2(e22,h12(e10)) = op2(e22,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_13_586,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_587,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) )],[refute_13_585,refute_13_586]) ).
cnf(refute_13_588,plain,
op2(e22,h12(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_13_156,refute_13_587]) ).
cnf(refute_13_589,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) != op2(e22,e20)
| op2(e22,h12(e10)) = h6(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e22,h12(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_13_590,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,e20)) )],[refute_13_588,refute_13_589]) ).
cnf(refute_13_591,plain,
op2(e22,h12(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_13_474,refute_13_590]) ).
cnf(refute_13_592,plain,
( h2(e11) != op2(e22,h12(e10))
| op2(e22,h12(e10)) != h6(e11)
| h2(e11) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h6(e11)) ),[0],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_13_593,plain,
( h2(e11) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h6(e11)) )],[refute_13_591,refute_13_592]) ).
cnf(refute_13_594,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h12(e10))) )],[refute_13_584,refute_13_593]) ).
cnf(refute_13_595,plain,
h2(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_13_323,refute_13_594]) ).
cnf(refute_13_596,plain,
( h2(e11) != h6(e11)
| h6(e11) = h2(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(h6(e11)))]]) ).
cnf(refute_13_597,plain,
h6(e11) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h6(e11)) )],[refute_13_595,refute_13_596]) ).
cnf(refute_13_598,plain,
( h6(e11) != h2(e11)
| op2(h2(e11),e20) != h6(e11)
| op2(h2(e11),e20) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),h6(e11)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_13_599,plain,
( op2(h2(e11),e20) != h6(e11)
| op2(h2(e11),e20) = h2(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_13_597,refute_13_598]) ).
cnf(refute_13_600,plain,
op2(h2(e11),e20) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),h6(e11)) )],[refute_13_580,refute_13_599]) ).
cnf(refute_13_601,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_13_127]) ).
cnf(refute_13_602,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h6(e11)
| h6(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h6(e11))]]) ).
cnf(refute_13_603,plain,
( op2(e21,e23) != e20
| h6(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_602]) ).
cnf(refute_13_604,plain,
( h6(e11) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_13_601,refute_13_603]) ).
cnf(refute_13_605,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h6(e11)
| h6(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h6(e11))]]) ).
cnf(refute_13_606,plain,
( op2(e21,e23) != e21
| h6(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_605]) ).
cnf(refute_13_607,plain,
( h6(e11) = e20
| h6(e11) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_13_604,refute_13_606]) ).
cnf(refute_13_608,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h6(e11)
| h6(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h6(e11))]]) ).
cnf(refute_13_609,plain,
( op2(e21,e23) != e22
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_608]) ).
cnf(refute_13_610,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_13_607,refute_13_609]) ).
cnf(refute_13_611,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h6(e11)
| h6(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h6(e11))]]) ).
cnf(refute_13_612,plain,
( op2(e21,e23) != e23
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_611]) ).
cnf(refute_13_613,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_13_610,refute_13_612]) ).
cnf(refute_13_614,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_13_128]) ).
cnf(refute_13_615,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_13_616,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_615]) ).
cnf(refute_13_617,plain,
( h6(e11) != e20
| op2(e23,e23) != e20
| h6(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_13_618,plain,
( h6(e11) != e20
| h6(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_13_97,refute_13_617]) ).
cnf(refute_13_619,plain,
( h6(e11) != e20
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e23,e23)) )],[refute_13_618,refute_13_616]) ).
cnf(refute_13_620,plain,
h6(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_13_619,refute_13_614]) ).
cnf(refute_13_621,plain,
( h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e20) )],[refute_13_613,refute_13_620]) ).
cnf(refute_13_622,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_13_129]) ).
cnf(refute_13_623,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_13_624,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_623]) ).
cnf(refute_13_625,plain,
( h6(e11) != e21
| op2(e22,e23) != e21
| h6(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_13_626,plain,
( h6(e11) != e21
| h6(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_10,refute_13_625]) ).
cnf(refute_13_627,plain,
( h6(e11) != e21
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e23)) )],[refute_13_626,refute_13_624]) ).
cnf(refute_13_628,plain,
h6(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_13_627,refute_13_622]) ).
cnf(refute_13_629,plain,
( h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e21) )],[refute_13_621,refute_13_628]) ).
cnf(refute_13_630,plain,
( h6(e11) != e22
| h6(e11) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_13_631,plain,
( h6(e11) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_13_597,refute_13_630]) ).
cnf(refute_13_632,plain,
( h2(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_13_629,refute_13_631]) ).
cnf(refute_13_633,plain,
( h6(e11) != e23
| h6(e11) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_13_634,plain,
( h6(e11) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_13_597,refute_13_633]) ).
cnf(refute_13_635,plain,
( h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e23) )],[refute_13_632,refute_13_634]) ).
cnf(refute_13_636,plain,
( h2(e11) != e23
| op2(h2(e11),e20) != h2(e11)
| op2(e23,e20) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e20),h2(e11)) ),[0,0],$fot(e23)]]) ).
cnf(refute_13_637,plain,
( op2(h2(e11),e20) != h2(e11)
| h2(e11) = e22
| op2(e23,e20) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_13_635,refute_13_636]) ).
cnf(refute_13_638,plain,
( h2(e11) = e22
| op2(e23,e20) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e20),h2(e11)) )],[refute_13_600,refute_13_637]) ).
cnf(refute_13_639,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,e20) != h2(e11)
| h10(e11) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),h2(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_13_640,plain,
( op2(e23,e20) != h2(e11)
| h10(e11) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_13_109,refute_13_639]) ).
cnf(refute_13_641,plain,
( h10(e11) = h2(e11)
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e11)) )],[refute_13_638,refute_13_640]) ).
cnf(refute_13_642,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_13_130]) ).
cnf(refute_13_643,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) != h2(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),h2(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_13_644,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_13_331,refute_13_643]) ).
cnf(refute_13_645,plain,
( h2(e11) != h3(e11)
| op2(e20,e23) != h3(e11)
| h2(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_13_646,plain,
( h2(e11) != h3(e11)
| h2(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_94,refute_13_645]) ).
cnf(refute_13_647,plain,
( h2(e11) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e23)) )],[refute_13_646,refute_13_644]) ).
cnf(refute_13_648,plain,
h2(e11) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_13_647,refute_13_642]) ).
cnf(refute_13_649,plain,
( h2(e11) != h10(e11)
| h3(e11) != h10(e11)
| h2(e11) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h3(e11)) ),[1],$fot(h10(e11))]]) ).
cnf(refute_13_650,plain,
( h2(e11) != h10(e11)
| h2(e11) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_13_120,refute_13_649]) ).
cnf(refute_13_651,plain,
h2(e11) != h10(e11),
inference(resolve,[$cnf( $equal(h2(e11),h3(e11)) )],[refute_13_650,refute_13_648]) ).
cnf(refute_13_652,plain,
( h10(e11) != h2(e11)
| h2(e11) = h10(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_13_653,plain,
h10(e11) != h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h10(e11)) )],[refute_13_652,refute_13_651]) ).
cnf(refute_13_654,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(h10(e11),h2(e11)) )],[refute_13_641,refute_13_653]) ).
cnf(refute_13_655,plain,
( h2(e11) != e22
| h2(e11) != h12(op1(e10,e13))
| e22 = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),h12(op1(e10,e13))) ),[0],$fot(e22)]]) ).
cnf(refute_13_656,plain,
( h2(e11) != h12(op1(e10,e13))
| e22 = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_13_654,refute_13_655]) ).
cnf(refute_13_657,plain,
e22 = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(h2(e11),h12(op1(e10,e13))) )],[refute_13_341,refute_13_656]) ).
cnf(refute_13_658,plain,
( e22 != h12(op1(e10,e13))
| op1(e10,e13) != e12
| e22 = h12(e12) ),
introduced(tautology,[equality,[$cnf( $equal(e22,h12(op1(e10,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_13_659,plain,
( e22 != h12(op1(e10,e13))
| e22 = h12(e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_13_294,refute_13_658]) ).
cnf(refute_13_660,plain,
( e22 = h12(e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e22,h12(op1(e10,e13))) )],[refute_13_657,refute_13_659]) ).
cnf(refute_13_661,plain,
( e22 != h12(e12)
| h12(e12) != e23
| e22 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,e23) ),[0],$fot(h12(e12))]]) ).
cnf(refute_13_662,plain,
( e22 != h12(e12)
| e22 = e23 ),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_13_80,refute_13_661]) ).
cnf(refute_13_663,plain,
( e22 = e23
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(e22,h12(e12)) )],[refute_13_660,refute_13_662]) ).
cnf(refute_13_664,plain,
e22 != e23,
inference(canonicalize,[],[normalize_13_131]) ).
cnf(refute_13_665,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_13_663,refute_13_664]) ).
cnf(refute_13_666,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_13_667,plain,
( op1(e10,e13) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_665,refute_13_666]) ).
cnf(refute_13_668,plain,
( e13 = e12
| op1(e13,e11) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_13_297,refute_13_667]) ).
cnf(refute_13_669,plain,
e12 != e13,
inference(canonicalize,[],[normalize_13_132]) ).
cnf(refute_13_670,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_13_671,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_13_670,refute_13_669]) ).
cnf(refute_13_672,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_13_668,refute_13_671]) ).
cnf(refute_13_673,plain,
h12(op1(e13,e11)) = h12(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h12(op1(e13,e11)))]]) ).
cnf(refute_13_674,plain,
( h12(op1(e13,e11)) != h12(op1(e13,e11))
| op1(e13,e11) != op1(e10,e12)
| h12(op1(e13,e11)) = h12(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e11)),h12(op1(e13,e11))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_13_675,plain,
( op1(e13,e11) != op1(e10,e12)
| h12(op1(e13,e11)) = h12(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e11)),h12(op1(e13,e11))) )],[refute_13_673,refute_13_674]) ).
cnf(refute_13_676,plain,
h12(op1(e13,e11)) = h12(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_13_672,refute_13_675]) ).
cnf(refute_13_677,plain,
( h12(op1(e10,e12)) != h10(e11)
| h12(op1(e13,e11)) != h12(op1(e10,e12))
| h12(op1(e13,e11)) = h10(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(h12(op1(e13,e11)))),bind(Y,$fot(h12(op1(e10,e12)))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_13_678,plain,
( h12(op1(e10,e12)) != h10(e11)
| h12(op1(e13,e11)) = h10(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e11)),h12(op1(e10,e12))) )],[refute_13_676,refute_13_677]) ).
cnf(refute_13_679,plain,
h12(op1(e13,e11)) = h10(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e12)),h10(e11)) )],[refute_13_171,refute_13_678]) ).
cnf(refute_13_680,plain,
( h10(e11) != h5(e11)
| h12(op1(e13,e11)) != h10(e11)
| h12(op1(e13,e11)) = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e11)),h10(e11)) ),[1],$fot(h5(e11))]]) ).
cnf(refute_13_681,plain,
( h10(e11) != h5(e11)
| h12(op1(e13,e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e11)),h10(e11)) )],[refute_13_679,refute_13_680]) ).
cnf(refute_13_682,plain,
op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20)),
inference(canonicalize,[],[normalize_13_133]) ).
cnf(refute_13_683,plain,
op2(op2(e22,e21),e20) = op2(op2(e22,e21),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e20))]]) ).
cnf(refute_13_684,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e20) != op2(op2(e22,e21),e20)
| op2(op2(e22,e21),e20) = op2(h8(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e20),op2(op2(e22,e21),e20)) ),[1,0],$fot(h8(e11))]]) ).
cnf(refute_13_685,plain,
( op2(e22,e21) != h8(e11)
| op2(op2(e22,e21),e20) = op2(h8(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e20),op2(op2(e22,e21),e20)) )],[refute_13_683,refute_13_684]) ).
cnf(refute_13_686,plain,
op2(op2(e22,e21),e20) = op2(h8(e11),e20),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_13_68,refute_13_685]) ).
cnf(refute_13_687,plain,
( op2(op2(e22,e21),e20) != op2(e22,op2(e21,e20))
| op2(op2(e22,e21),e20) != op2(h8(e11),e20)
| op2(h8(e11),e20) = op2(e22,op2(e21,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e20),op2(e22,op2(e21,e20))) ),[0],$fot(op2(h8(e11),e20))]]) ).
cnf(refute_13_688,plain,
( op2(op2(e22,e21),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,op2(e21,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e20),op2(h8(e11),e20)) )],[refute_13_686,refute_13_687]) ).
cnf(refute_13_689,plain,
op2(e22,op2(e21,e20)) = op2(e22,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e20)))]]) ).
cnf(refute_13_690,plain,
( op2(e21,e20) != h4(e11)
| op2(e22,op2(e21,e20)) != op2(e22,op2(e21,e20))
| op2(e22,op2(e21,e20)) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e20)),op2(e22,op2(e21,e20))) ),[1,1],$fot(h4(e11))]]) ).
cnf(refute_13_691,plain,
( op2(e21,e20) != h4(e11)
| op2(e22,op2(e21,e20)) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e20)),op2(e22,op2(e21,e20))) )],[refute_13_689,refute_13_690]) ).
cnf(refute_13_692,plain,
op2(e22,op2(e21,e20)) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_13_396,refute_13_691]) ).
cnf(refute_13_693,plain,
( op2(e22,op2(e21,e20)) != op2(e22,h4(e11))
| op2(h8(e11),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e20),op2(e22,op2(e21,e20))) ),[1],$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_13_694,plain,
( op2(h8(e11),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e20)),op2(e22,h4(e11))) )],[refute_13_692,refute_13_693]) ).
cnf(refute_13_695,plain,
( op2(op2(e22,e21),e20) != op2(e22,op2(e21,e20))
| op2(h8(e11),e20) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(e22,op2(e21,e20))) )],[refute_13_688,refute_13_694]) ).
cnf(refute_13_696,plain,
op2(h8(e11),e20) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e20),op2(e22,op2(e21,e20))) )],[refute_13_682,refute_13_695]) ).
cnf(refute_13_697,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(canonicalize,[],[normalize_13_134]) ).
cnf(refute_13_698,plain,
op2(op2(e23,e20),e20) = op2(op2(e23,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e23,e20),e20))]]) ).
cnf(refute_13_699,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e20) != op2(op2(e23,e20),e20)
| op2(op2(e23,e20),e20) = op2(h10(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_13_700,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e20) = op2(h10(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) )],[refute_13_698,refute_13_699]) ).
cnf(refute_13_701,plain,
op2(op2(e23,e20),e20) = op2(h10(e11),e20),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_13_109,refute_13_700]) ).
cnf(refute_13_702,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(op2(e23,e20),e20) != op2(h10(e11),e20)
| op2(h10(e11),e20) = op2(e23,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) ),[0],$fot(op2(h10(e11),e20))]]) ).
cnf(refute_13_703,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(h10(e11),e20)) )],[refute_13_701,refute_13_702]) ).
cnf(refute_13_704,plain,
op2(e23,op2(e20,e20)) = op2(e23,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e20,e20)))]]) ).
cnf(refute_13_705,plain,
( op2(e20,e20) != h10(e10)
| op2(e23,op2(e20,e20)) != op2(e23,op2(e20,e20))
| op2(e23,op2(e20,e20)) = op2(e23,h10(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) ),[1,1],$fot(h10(e10))]]) ).
cnf(refute_13_706,plain,
( op2(e20,e20) != h10(e10)
| op2(e23,op2(e20,e20)) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) )],[refute_13_704,refute_13_705]) ).
cnf(refute_13_707,plain,
op2(e23,op2(e20,e20)) = op2(e23,h10(e10)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_13_436,refute_13_706]) ).
cnf(refute_13_708,plain,
( op2(e23,op2(e20,e20)) != op2(e23,h10(e10))
| op2(h10(e11),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,h10(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e20),op2(e23,op2(e20,e20))) ),[1],$fot(op2(e23,h10(e10)))]]) ).
cnf(refute_13_709,plain,
( op2(h10(e11),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,h10(e10))) )],[refute_13_707,refute_13_708]) ).
cnf(refute_13_710,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e23,op2(e20,e20))) )],[refute_13_703,refute_13_709]) ).
cnf(refute_13_711,plain,
op2(h10(e11),e20) = op2(e23,h10(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) )],[refute_13_697,refute_13_710]) ).
cnf(refute_13_712,plain,
op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20)),
inference(canonicalize,[],[normalize_13_135]) ).
cnf(refute_13_713,plain,
op2(op2(e20,e23),e20) = op2(op2(e20,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e20))]]) ).
cnf(refute_13_714,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e20) != op2(op2(e20,e23),e20)
| op2(op2(e20,e23),e20) = op2(h3(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e20),op2(op2(e20,e23),e20)) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_13_715,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e20) = op2(h3(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e20),op2(op2(e20,e23),e20)) )],[refute_13_713,refute_13_714]) ).
cnf(refute_13_716,plain,
op2(op2(e20,e23),e20) = op2(h3(e11),e20),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_94,refute_13_715]) ).
cnf(refute_13_717,plain,
( op2(op2(e20,e23),e20) != op2(e20,op2(e23,e20))
| op2(op2(e20,e23),e20) != op2(h3(e11),e20)
| op2(h3(e11),e20) = op2(e20,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e20),op2(e20,op2(e23,e20))) ),[0],$fot(op2(h3(e11),e20))]]) ).
cnf(refute_13_718,plain,
( op2(op2(e20,e23),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e20),op2(h3(e11),e20)) )],[refute_13_716,refute_13_717]) ).
cnf(refute_13_719,plain,
op2(e20,op2(e23,e20)) = op2(e20,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e20)))]]) ).
cnf(refute_13_720,plain,
( op2(e20,op2(e23,e20)) != op2(e20,op2(e23,e20))
| op2(e23,e20) != h10(e11)
| op2(e20,op2(e23,e20)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_13_721,plain,
( op2(e23,e20) != h10(e11)
| op2(e20,op2(e23,e20)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,op2(e23,e20))) )],[refute_13_719,refute_13_720]) ).
cnf(refute_13_722,plain,
op2(e20,op2(e23,e20)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_13_109,refute_13_721]) ).
cnf(refute_13_723,plain,
( op2(e20,op2(e23,e20)) != op2(e20,h10(e11))
| op2(h3(e11),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e20),op2(e20,op2(e23,e20))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_13_724,plain,
( op2(h3(e11),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,h10(e11))) )],[refute_13_722,refute_13_723]) ).
cnf(refute_13_725,plain,
( op2(op2(e20,e23),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(e20,op2(e23,e20))) )],[refute_13_718,refute_13_724]) ).
cnf(refute_13_726,plain,
op2(h3(e11),e20) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e20),op2(e20,op2(e23,e20))) )],[refute_13_712,refute_13_725]) ).
cnf(refute_13_727,plain,
op2(h3(e11),e20) = op2(h3(e11),e20),
introduced(tautology,[refl,[$fot(op2(h3(e11),e20))]]) ).
cnf(refute_13_728,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e20) != op2(h3(e11),e20)
| op2(h3(e11),e20) = op2(h10(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e20),op2(h3(e11),e20)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_13_729,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e20) = op2(h10(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(h3(e11),e20)) )],[refute_13_727,refute_13_728]) ).
cnf(refute_13_730,plain,
op2(h3(e11),e20) = op2(h10(e11),e20),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_13_120,refute_13_729]) ).
cnf(refute_13_731,plain,
( op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h3(e11),e20) != op2(h10(e11),e20)
| op2(h3(e11),e20) = op2(e23,h10(e10)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h3(e11),e20))),bind(Y,$fot(op2(h10(e11),e20))),bind(Z,$fot(op2(e23,h10(e10))))]]) ).
cnf(refute_13_732,plain,
( op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h3(e11),e20) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(h10(e11),e20)) )],[refute_13_730,refute_13_731]) ).
cnf(refute_13_733,plain,
op2(h3(e11),e20) = op2(e23,h10(e10)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e23,h10(e10))) )],[refute_13_711,refute_13_732]) ).
cnf(refute_13_734,plain,
( op2(h3(e11),e20) != op2(e20,h10(e11))
| op2(h3(e11),e20) != op2(e23,h10(e10))
| op2(e23,h10(e10)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e20),op2(e20,h10(e11))) ),[0],$fot(op2(e23,h10(e10)))]]) ).
cnf(refute_13_735,plain,
( op2(h3(e11),e20) != op2(e20,h10(e11))
| op2(e23,h10(e10)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(e23,h10(e10))) )],[refute_13_733,refute_13_734]) ).
cnf(refute_13_736,plain,
op2(e23,h10(e10)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(e20,h10(e11))) )],[refute_13_726,refute_13_735]) ).
cnf(refute_13_737,plain,
( op2(e23,h10(e10)) != op2(e20,h10(e11))
| op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h10(e11),e20) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e20),op2(e23,h10(e10))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_13_738,plain,
( op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h10(e11),e20) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h10(e10)),op2(e20,h10(e11))) )],[refute_13_736,refute_13_737]) ).
cnf(refute_13_739,plain,
op2(h10(e11),e20) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e23,h10(e10))) )],[refute_13_711,refute_13_738]) ).
cnf(refute_13_740,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_13_136]) ).
cnf(refute_13_741,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_13_742,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h10(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h10(e10))]]) ).
cnf(refute_13_743,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e20,e20),e23) = op2(h10(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_13_741,refute_13_742]) ).
cnf(refute_13_744,plain,
op2(op2(e20,e20),e23) = op2(h10(e10),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_13_436,refute_13_743]) ).
cnf(refute_13_745,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h10(e10),e23)
| op2(h10(e10),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h10(e10),e23))]]) ).
cnf(refute_13_746,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h10(e10),e23)) )],[refute_13_744,refute_13_745]) ).
cnf(refute_13_747,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_13_748,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_13_749,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e20,e23)) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_13_747,refute_13_748]) ).
cnf(refute_13_750,plain,
op2(e20,op2(e20,e23)) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_13_94,refute_13_749]) ).
cnf(refute_13_751,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h3(e11))
| op2(h10(e10),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_13_752,plain,
( op2(h10(e10),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h3(e11))) )],[refute_13_750,refute_13_751]) ).
cnf(refute_13_753,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,op2(e20,e23))) )],[refute_13_746,refute_13_752]) ).
cnf(refute_13_754,plain,
op2(h10(e10),e23) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_13_740,refute_13_753]) ).
cnf(refute_13_755,plain,
op2(e20,h3(e11)) = op2(e20,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_13_756,plain,
( h3(e11) != h10(e11)
| op2(e20,h3(e11)) != op2(e20,h3(e11))
| op2(e20,h3(e11)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_13_757,plain,
( h3(e11) != h10(e11)
| op2(e20,h3(e11)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) )],[refute_13_755,refute_13_756]) ).
cnf(refute_13_758,plain,
op2(e20,h3(e11)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_13_120,refute_13_757]) ).
cnf(refute_13_759,plain,
( op2(e20,h3(e11)) != op2(e20,h10(e11))
| op2(h10(e10),e23) != op2(e20,h3(e11))
| op2(h10(e10),e23) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h3(e11))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_13_760,plain,
( op2(h10(e10),e23) != op2(e20,h3(e11))
| op2(h10(e10),e23) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h10(e11))) )],[refute_13_758,refute_13_759]) ).
cnf(refute_13_761,plain,
op2(h10(e10),e23) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h3(e11))) )],[refute_13_754,refute_13_760]) ).
cnf(refute_13_762,plain,
op2(h10(e10),e23) = op2(h10(e10),e23),
introduced(tautology,[refl,[$fot(op2(h10(e10),e23))]]) ).
cnf(refute_13_763,plain,
( h10(e10) != e20
| op2(h10(e10),e23) != op2(h10(e10),e23)
| op2(h10(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(h10(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_764,plain,
( h10(e10) != e20
| op2(h10(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(h10(e10),e23)) )],[refute_13_762,refute_13_763]) ).
cnf(refute_13_765,plain,
op2(h10(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h10(e10),e20) )],[refute_13_479,refute_13_764]) ).
cnf(refute_13_766,plain,
( op2(e20,e23) != h10(e11)
| op2(h10(e10),e23) != op2(e20,e23)
| op2(h10(e10),e23) = h10(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h10(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_13_767,plain,
( op2(e20,e23) != h10(e11)
| op2(h10(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,e23)) )],[refute_13_765,refute_13_766]) ).
cnf(refute_13_768,plain,
op2(h10(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_13_125,refute_13_767]) ).
cnf(refute_13_769,plain,
( op2(h10(e10),e23) != h10(e11)
| op2(h10(e10),e23) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h10(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_13_770,plain,
( op2(h10(e10),e23) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),h10(e11)) )],[refute_13_768,refute_13_769]) ).
cnf(refute_13_771,plain,
h10(e11) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h10(e11))) )],[refute_13_761,refute_13_770]) ).
cnf(refute_13_772,plain,
( h10(e11) != op2(e20,h10(e11))
| op2(e20,h10(e11)) = h10(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,h10(e11))))]]) ).
cnf(refute_13_773,plain,
op2(e20,h10(e11)) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,h10(e11))) )],[refute_13_771,refute_13_772]) ).
cnf(refute_13_774,plain,
( op2(e20,h10(e11)) != h10(e11)
| op2(h10(e11),e20) != op2(e20,h10(e11))
| op2(h10(e11),e20) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e20),op2(e20,h10(e11))) ),[1],$fot(h10(e11))]]) ).
cnf(refute_13_775,plain,
( op2(h10(e11),e20) != op2(e20,h10(e11))
| op2(h10(e11),e20) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h10(e11)),h10(e11)) )],[refute_13_773,refute_13_774]) ).
cnf(refute_13_776,plain,
op2(h10(e11),e20) = h10(e11),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e20,h10(e11))) )],[refute_13_739,refute_13_775]) ).
cnf(refute_13_777,plain,
op2(h8(e11),e20) = op2(h8(e11),e20),
introduced(tautology,[refl,[$fot(op2(h8(e11),e20))]]) ).
cnf(refute_13_778,plain,
( h8(e11) != h10(e11)
| op2(h8(e11),e20) != op2(h8(e11),e20)
| op2(h8(e11),e20) = op2(h10(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e20),op2(h8(e11),e20)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_13_779,plain,
( h8(e11) != h10(e11)
| op2(h8(e11),e20) = op2(h10(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(h8(e11),e20)) )],[refute_13_777,refute_13_778]) ).
cnf(refute_13_780,plain,
op2(h8(e11),e20) = op2(h10(e11),e20),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_13_168,refute_13_779]) ).
cnf(refute_13_781,plain,
( op2(h10(e11),e20) != h10(e11)
| op2(h8(e11),e20) != op2(h10(e11),e20)
| op2(h8(e11),e20) = h10(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h8(e11),e20))),bind(Y,$fot(op2(h10(e11),e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_13_782,plain,
( op2(h10(e11),e20) != h10(e11)
| op2(h8(e11),e20) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(h10(e11),e20)) )],[refute_13_780,refute_13_781]) ).
cnf(refute_13_783,plain,
op2(h8(e11),e20) = h10(e11),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),h10(e11)) )],[refute_13_776,refute_13_782]) ).
cnf(refute_13_784,plain,
( op2(h8(e11),e20) != h10(e11)
| op2(h8(e11),e20) != op2(e22,h4(e11))
| h10(e11) = op2(e22,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h8(e11),e20),op2(e22,h4(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_13_785,plain,
( op2(h8(e11),e20) != op2(e22,h4(e11))
| h10(e11) = op2(e22,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),h10(e11)) )],[refute_13_783,refute_13_784]) ).
cnf(refute_13_786,plain,
h10(e11) = op2(e22,h4(e11)),
inference(resolve,[$cnf( $equal(op2(h8(e11),e20),op2(e22,h4(e11))) )],[refute_13_696,refute_13_785]) ).
cnf(refute_13_787,plain,
op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21)),
inference(canonicalize,[],[normalize_13_137]) ).
cnf(refute_13_788,plain,
op2(op2(e22,e20),e21) = op2(op2(e22,e20),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e20),e21))]]) ).
cnf(refute_13_789,plain,
( op2(e22,e20) != h7(e11)
| op2(op2(e22,e20),e21) != op2(op2(e22,e20),e21)
| op2(op2(e22,e20),e21) = op2(h7(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e21),op2(op2(e22,e20),e21)) ),[1,0],$fot(h7(e11))]]) ).
cnf(refute_13_790,plain,
( op2(e22,e20) != h7(e11)
| op2(op2(e22,e20),e21) = op2(h7(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e21),op2(op2(e22,e20),e21)) )],[refute_13_788,refute_13_789]) ).
cnf(refute_13_791,plain,
op2(op2(e22,e20),e21) = op2(h7(e11),e21),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_13_351,refute_13_790]) ).
cnf(refute_13_792,plain,
( op2(op2(e22,e20),e21) != op2(e22,op2(e20,e21))
| op2(op2(e22,e20),e21) != op2(h7(e11),e21)
| op2(h7(e11),e21) = op2(e22,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e21),op2(e22,op2(e20,e21))) ),[0],$fot(op2(h7(e11),e21))]]) ).
cnf(refute_13_793,plain,
( op2(op2(e22,e20),e21) != op2(e22,op2(e20,e21))
| op2(h7(e11),e21) = op2(e22,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e21),op2(h7(e11),e21)) )],[refute_13_791,refute_13_792]) ).
cnf(refute_13_794,plain,
op2(e22,op2(e20,e21)) = op2(e22,op2(e20,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e21)))]]) ).
cnf(refute_13_795,plain,
( op2(e20,e21) != h1(e11)
| op2(e22,op2(e20,e21)) != op2(e22,op2(e20,e21))
| op2(e22,op2(e20,e21)) = op2(e22,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e21)),op2(e22,op2(e20,e21))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_13_796,plain,
( op2(e20,e21) != h1(e11)
| op2(e22,op2(e20,e21)) = op2(e22,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e21)),op2(e22,op2(e20,e21))) )],[refute_13_794,refute_13_795]) ).
cnf(refute_13_797,plain,
op2(e22,op2(e20,e21)) = op2(e22,h1(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_13_496,refute_13_796]) ).
cnf(refute_13_798,plain,
( op2(e22,op2(e20,e21)) != op2(e22,h1(e11))
| op2(h7(e11),e21) != op2(e22,op2(e20,e21))
| op2(h7(e11),e21) = op2(e22,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h7(e11),e21),op2(e22,op2(e20,e21))) ),[1],$fot(op2(e22,h1(e11)))]]) ).
cnf(refute_13_799,plain,
( op2(h7(e11),e21) != op2(e22,op2(e20,e21))
| op2(h7(e11),e21) = op2(e22,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e21)),op2(e22,h1(e11))) )],[refute_13_797,refute_13_798]) ).
cnf(refute_13_800,plain,
( op2(op2(e22,e20),e21) != op2(e22,op2(e20,e21))
| op2(h7(e11),e21) = op2(e22,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e21),op2(e22,op2(e20,e21))) )],[refute_13_793,refute_13_799]) ).
cnf(refute_13_801,plain,
op2(h7(e11),e21) = op2(e22,h1(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e21),op2(e22,op2(e20,e21))) )],[refute_13_787,refute_13_800]) ).
cnf(refute_13_802,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_13_138]) ).
cnf(refute_13_803,plain,
op2(op2(e21,e23),e21) = op2(op2(e21,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e21))]]) ).
cnf(refute_13_804,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e21) != op2(op2(e21,e23),e21)
| op2(op2(e21,e23),e21) = op2(h6(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_13_805,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e21) = op2(h6(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) )],[refute_13_803,refute_13_804]) ).
cnf(refute_13_806,plain,
op2(op2(e21,e23),e21) = op2(h6(e11),e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_13_363,refute_13_805]) ).
cnf(refute_13_807,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) != op2(h6(e11),e21)
| op2(h6(e11),e21) = op2(e21,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[0],$fot(op2(h6(e11),e21))]]) ).
cnf(refute_13_808,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h6(e11),e21)) )],[refute_13_806,refute_13_807]) ).
cnf(refute_13_809,plain,
h11(e11) = op2(e23,e21),
inference(canonicalize,[],[normalize_13_139]) ).
cnf(refute_13_810,plain,
( h11(e11) != op2(e23,e21)
| op2(e23,e21) = h11(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h11(e11))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_811,plain,
op2(e23,e21) = h11(e11),
inference(resolve,[$cnf( $equal(h11(e11),op2(e23,e21)) )],[refute_13_809,refute_13_810]) ).
cnf(refute_13_812,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_13_813,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != h11(e11)
| op2(e21,op2(e23,e21)) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(h11(e11))]]) ).
cnf(refute_13_814,plain,
( op2(e23,e21) != h11(e11)
| op2(e21,op2(e23,e21)) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_13_812,refute_13_813]) ).
cnf(refute_13_815,plain,
op2(e21,op2(e23,e21)) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_13_811,refute_13_814]) ).
cnf(refute_13_816,plain,
( op2(e21,op2(e23,e21)) != op2(e21,h11(e11))
| op2(h6(e11),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_13_817,plain,
( op2(h6(e11),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,h11(e11))) )],[refute_13_815,refute_13_816]) ).
cnf(refute_13_818,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e21,op2(e23,e21))) )],[refute_13_808,refute_13_817]) ).
cnf(refute_13_819,plain,
op2(h6(e11),e21) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_13_802,refute_13_818]) ).
cnf(refute_13_820,plain,
op2(h7(e11),e21) = op2(h7(e11),e21),
introduced(tautology,[refl,[$fot(op2(h7(e11),e21))]]) ).
cnf(refute_13_821,plain,
( h7(e11) != h6(e11)
| op2(h7(e11),e21) != op2(h7(e11),e21)
| op2(h7(e11),e21) = op2(h6(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h7(e11),e21),op2(h7(e11),e21)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_13_822,plain,
( h7(e11) != h6(e11)
| op2(h7(e11),e21) = op2(h6(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e21),op2(h7(e11),e21)) )],[refute_13_820,refute_13_821]) ).
cnf(refute_13_823,plain,
op2(h7(e11),e21) = op2(h6(e11),e21),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_13_385,refute_13_822]) ).
cnf(refute_13_824,plain,
( op2(h6(e11),e21) != op2(e21,h11(e11))
| op2(h7(e11),e21) != op2(h6(e11),e21)
| op2(h7(e11),e21) = op2(e21,h11(e11)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h7(e11),e21))),bind(Y,$fot(op2(h6(e11),e21))),bind(Z,$fot(op2(e21,h11(e11))))]]) ).
cnf(refute_13_825,plain,
( op2(h6(e11),e21) != op2(e21,h11(e11))
| op2(h7(e11),e21) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e21),op2(h6(e11),e21)) )],[refute_13_823,refute_13_824]) ).
cnf(refute_13_826,plain,
op2(h7(e11),e21) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e21,h11(e11))) )],[refute_13_819,refute_13_825]) ).
cnf(refute_13_827,plain,
( op2(h7(e11),e21) != op2(e21,h11(e11))
| op2(h7(e11),e21) != op2(e22,h1(e11))
| op2(e21,h11(e11)) = op2(e22,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h7(e11),e21),op2(e22,h1(e11))) ),[0],$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_13_828,plain,
( op2(h7(e11),e21) != op2(e22,h1(e11))
| op2(e21,h11(e11)) = op2(e22,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(h7(e11),e21),op2(e21,h11(e11))) )],[refute_13_826,refute_13_827]) ).
cnf(refute_13_829,plain,
op2(e21,h11(e11)) = op2(e22,h1(e11)),
inference(resolve,[$cnf( $equal(op2(h7(e11),e21),op2(e22,h1(e11))) )],[refute_13_801,refute_13_828]) ).
cnf(refute_13_830,plain,
( op2(e21,h11(e11)) != op2(e22,h1(e11))
| op2(e22,h1(e11)) = op2(e21,h11(e11)) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op2(e21,h11(e11)))),bind(Y,$fot(op2(e22,h1(e11))))]]) ).
cnf(refute_13_831,plain,
op2(e22,h1(e11)) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),op2(e22,h1(e11))) )],[refute_13_829,refute_13_830]) ).
cnf(refute_13_832,plain,
op2(e22,h4(e11)) = op2(e22,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_13_833,plain,
( h4(e11) != h1(e11)
| op2(e22,h4(e11)) != op2(e22,h4(e11))
| op2(e22,h4(e11)) = op2(e22,h1(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) ),[1,1],$fot(h1(e11))]]) ).
cnf(refute_13_834,plain,
( h4(e11) != h1(e11)
| op2(e22,h4(e11)) = op2(e22,h1(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h4(e11))) )],[refute_13_832,refute_13_833]) ).
cnf(refute_13_835,plain,
op2(e22,h4(e11)) = op2(e22,h1(e11)),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_13_567,refute_13_834]) ).
cnf(refute_13_836,plain,
( op2(e22,h1(e11)) != op2(e21,h11(e11))
| op2(e22,h4(e11)) != op2(e22,h1(e11))
| op2(e22,h4(e11)) = op2(e21,h11(e11)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e22,h4(e11)))),bind(Y,$fot(op2(e22,h1(e11)))),bind(Z,$fot(op2(e21,h11(e11))))]]) ).
cnf(refute_13_837,plain,
( op2(e22,h1(e11)) != op2(e21,h11(e11))
| op2(e22,h4(e11)) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e22,h1(e11))) )],[refute_13_835,refute_13_836]) ).
cnf(refute_13_838,plain,
op2(e22,h4(e11)) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e22,h1(e11)),op2(e21,h11(e11))) )],[refute_13_831,refute_13_837]) ).
cnf(refute_13_839,plain,
( h10(e11) != op2(e22,h4(e11))
| op2(e22,h4(e11)) != op2(e21,h11(e11))
| h10(e11) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),op2(e21,h11(e11))) ),[0],$fot(op2(e22,h4(e11)))]]) ).
cnf(refute_13_840,plain,
( h10(e11) != op2(e22,h4(e11))
| h10(e11) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e11)),op2(e21,h11(e11))) )],[refute_13_838,refute_13_839]) ).
cnf(refute_13_841,plain,
h10(e11) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(h10(e11),op2(e22,h4(e11))) )],[refute_13_786,refute_13_840]) ).
cnf(refute_13_842,plain,
h12(op1(e11,e12)) = op2(h12(e11),h12(e12)),
inference(canonicalize,[],[normalize_13_140]) ).
cnf(refute_13_843,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(canonicalize,[],[normalize_13_141]) ).
cnf(refute_13_844,plain,
op2(op2(e23,e22),e23) = op2(op2(e23,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e23))]]) ).
cnf(refute_13_845,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) != op2(op2(e23,e22),e23)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) ),[1,0],$fot(h12(e11))]]) ).
cnf(refute_13_846,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) )],[refute_13_844,refute_13_845]) ).
cnf(refute_13_847,plain,
op2(op2(e23,e22),e23) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_13_24,refute_13_846]) ).
cnf(refute_13_848,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(op2(e23,e22),e23) != op2(h12(e11),e23)
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) ),[0],$fot(op2(h12(e11),e23))]]) ).
cnf(refute_13_849,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(h12(e11),e23)) )],[refute_13_847,refute_13_848]) ).
cnf(refute_13_850,plain,
op2(e23,op2(e22,e23)) = op2(e23,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e23)))]]) ).
cnf(refute_13_851,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) != op2(e23,op2(e22,e23))
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_852,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) )],[refute_13_850,refute_13_851]) ).
cnf(refute_13_853,plain,
op2(e23,op2(e22,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_13_10,refute_13_852]) ).
cnf(refute_13_854,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) != op2(e23,e21)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e23,op2(e22,e23)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_13_855,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,e21)) )],[refute_13_853,refute_13_854]) ).
cnf(refute_13_856,plain,
op2(e23,op2(e22,e23)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_13_811,refute_13_855]) ).
cnf(refute_13_857,plain,
( op2(e23,op2(e22,e23)) != h11(e11)
| op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) ),[1],$fot(h11(e11))]]) ).
cnf(refute_13_858,plain,
( op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),h11(e11)) )],[refute_13_856,refute_13_857]) ).
cnf(refute_13_859,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) )],[refute_13_849,refute_13_858]) ).
cnf(refute_13_860,plain,
op2(h12(e11),e23) = h11(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) )],[refute_13_843,refute_13_859]) ).
cnf(refute_13_861,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e12)))]]) ).
cnf(refute_13_862,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) != op2(h12(e11),h12(e12))
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_863,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) )],[refute_13_861,refute_13_862]) ).
cnf(refute_13_864,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_13_80,refute_13_863]) ).
cnf(refute_13_865,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) != op2(h12(e11),e23)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(h12(e11),h12(e12)))),bind(Y,$fot(op2(h12(e11),e23))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_13_866,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),e23)) )],[refute_13_864,refute_13_865]) ).
cnf(refute_13_867,plain,
op2(h12(e11),h12(e12)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),h11(e11)) )],[refute_13_860,refute_13_866]) ).
cnf(refute_13_868,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| op2(h12(e11),h12(e12)) != h11(e11)
| h12(op1(e11,e12)) = h11(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e12)),h11(e11)) ),[0],$fot(op2(h12(e11),h12(e12)))]]) ).
cnf(refute_13_869,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),h11(e11)) )],[refute_13_867,refute_13_868]) ).
cnf(refute_13_870,plain,
h12(op1(e11,e12)) = h11(e11),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),op2(h12(e11),h12(e12))) )],[refute_13_842,refute_13_869]) ).
cnf(refute_13_871,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_13_142]) ).
cnf(refute_13_872,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(canonicalize,[],[normalize_13_143]) ).
cnf(refute_13_873,plain,
op1(op1(e11,e11),e13) = op1(op1(e11,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e13))]]) ).
cnf(refute_13_874,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) != op1(op1(e11,e11),e13)
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_13_875,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) )],[refute_13_873,refute_13_874]) ).
cnf(refute_13_876,plain,
op1(op1(e11,e11),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_218,refute_13_875]) ).
cnf(refute_13_877,plain,
( op1(op1(e11,e11),e13) != op1(e10,e13)
| op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_13_878,plain,
( op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,e13)) )],[refute_13_876,refute_13_877]) ).
cnf(refute_13_879,plain,
op1(e10,e13) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) )],[refute_13_872,refute_13_878]) ).
cnf(refute_13_880,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_13_144]) ).
cnf(refute_13_881,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(canonicalize,[],[normalize_13_145]) ).
cnf(refute_13_882,plain,
op1(op1(e11,e11),e11) = op1(op1(e11,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e11))]]) ).
cnf(refute_13_883,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) != op1(op1(e11,e11),e11)
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_13_884,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) )],[refute_13_882,refute_13_883]) ).
cnf(refute_13_885,plain,
op1(op1(e11,e11),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_218,refute_13_884]) ).
cnf(refute_13_886,plain,
( op1(op1(e11,e11),e11) != op1(e10,e11)
| op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_13_887,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e10,e11)) )],[refute_13_885,refute_13_886]) ).
cnf(refute_13_888,plain,
op1(e11,op1(e11,e11)) = op1(e11,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_13_889,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_13_890,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) )],[refute_13_888,refute_13_889]) ).
cnf(refute_13_891,plain,
op1(e11,op1(e11,e11)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_13_218,refute_13_890]) ).
cnf(refute_13_892,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_13_893,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,e10)) )],[refute_13_891,refute_13_892]) ).
cnf(refute_13_894,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e11))) )],[refute_13_887,refute_13_893]) ).
cnf(refute_13_895,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) )],[refute_13_881,refute_13_894]) ).
cnf(refute_13_896,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_13_897,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_13_895,refute_13_896]) ).
cnf(refute_13_898,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_13_899,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) != op1(op1(e11,e10),e12)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_13_900,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_13_898,refute_13_899]) ).
cnf(refute_13_901,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_13_897,refute_13_900]) ).
cnf(refute_13_902,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_13_903,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_13_901,refute_13_902]) ).
cnf(refute_13_904,plain,
op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_13_871,refute_13_903]) ).
cnf(refute_13_905,plain,
( op1(op1(e11,e10),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_13_906,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,op1(e11,e12))) )],[refute_13_904,refute_13_905]) ).
cnf(refute_13_907,plain,
op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_13_880,refute_13_906]) ).
cnf(refute_13_908,plain,
( op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op1(e10,op1(e11,e12)))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_13_909,plain,
op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) )],[refute_13_907,refute_13_908]) ).
cnf(refute_13_910,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_13_911,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) ),[1,1],$fot(op1(e10,e12))]]) ).
cnf(refute_13_912,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_13_910,refute_13_911]) ).
cnf(refute_13_913,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_13_250,refute_13_912]) ).
cnf(refute_13_914,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op1(e11,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e12)))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_13_915,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_13_913,refute_13_914]) ).
cnf(refute_13_916,plain,
op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,op1(e11,e12))) )],[refute_13_909,refute_13_915]) ).
cnf(refute_13_917,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) != op1(e10,op1(e11,e12))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e10,op1(e11,e12))) ),[0],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_13_918,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e10,op1(e11,e12))) )],[refute_13_916,refute_13_917]) ).
cnf(refute_13_919,plain,
op1(e10,e13) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,op1(e11,e13))) )],[refute_13_879,refute_13_918]) ).
cnf(refute_13_920,plain,
( op1(e10,e13) != op1(e10,op1(e11,e12))
| op1(e10,op1(e11,e12)) = op1(e10,e13) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_13_921,plain,
op1(e10,op1(e11,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,op1(e11,e12))) )],[refute_13_919,refute_13_920]) ).
cnf(refute_13_922,plain,
( op1(e10,op1(e11,e12)) != op1(e10,e13)
| op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_13_923,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,e13)) )],[refute_13_921,refute_13_922]) ).
cnf(refute_13_924,plain,
op1(op1(e10,e11),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_13_871,refute_13_923]) ).
cnf(refute_13_925,plain,
( op1(e10,e13) != e13
| op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(op1(e10,e11),e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_13_926,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(op1(e10,e11),e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_665,refute_13_925]) ).
cnf(refute_13_927,plain,
op1(op1(e10,e11),e12) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) )],[refute_13_924,refute_13_926]) ).
cnf(refute_13_928,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(canonicalize,[],[normalize_13_146]) ).
cnf(refute_13_929,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_13_147]) ).
cnf(refute_13_930,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_13_931,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_13_932,plain,
( op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_13_930,refute_13_931]) ).
cnf(refute_13_933,plain,
op1(e11,op1(e13,e13)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_13_186,refute_13_932]) ).
cnf(refute_13_934,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e10)
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_13_935,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e10)) )],[refute_13_933,refute_13_934]) ).
cnf(refute_13_936,plain,
op1(op1(e11,e13),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_13_929,refute_13_935]) ).
cnf(refute_13_937,plain,
op1(op1(e12,e10),e13) = op1(op1(e12,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e10),e13))]]) ).
cnf(refute_13_938,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) != op1(op1(e12,e10),e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_13_939,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) )],[refute_13_937,refute_13_938]) ).
cnf(refute_13_940,plain,
op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_13_196,refute_13_939]) ).
cnf(refute_13_941,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(op1(e11,e13),e13)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op1(op1(e12,e10),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,e10)))]]) ).
cnf(refute_13_942,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e11,e13),e13)) )],[refute_13_940,refute_13_941]) ).
cnf(refute_13_943,plain,
op1(op1(e12,e10),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_13_936,refute_13_942]) ).
cnf(refute_13_944,plain,
( op1(op1(e12,e10),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e11,e10))]]) ).
cnf(refute_13_945,plain,
( op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e11,e10)) )],[refute_13_943,refute_13_944]) ).
cnf(refute_13_946,plain,
op1(e11,e10) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) )],[refute_13_928,refute_13_945]) ).
cnf(refute_13_947,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_13_948,plain,
( op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_13_897,refute_13_947]) ).
cnf(refute_13_949,plain,
op1(e10,e11) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) )],[refute_13_946,refute_13_948]) ).
cnf(refute_13_950,plain,
op1(e12,op1(e10,e13)) = op1(e12,op1(e10,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_13_951,plain,
( op1(e10,e13) != e13
| op1(e12,op1(e10,e13)) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) ),[1,1],$fot(e13)]]) ).
cnf(refute_13_952,plain,
( op1(e10,e13) != e13
| op1(e12,op1(e10,e13)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,op1(e10,e13))) )],[refute_13_950,refute_13_951]) ).
cnf(refute_13_953,plain,
op1(e12,op1(e10,e13)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_13_665,refute_13_952]) ).
cnf(refute_13_954,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e10,e13)) != op1(e12,e13)
| op1(e12,op1(e10,e13)) = e11 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op1(e12,op1(e10,e13)))),bind(Y,$fot(op1(e12,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_13_955,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e10,e13)) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),op1(e12,e13)) )],[refute_13_953,refute_13_954]) ).
cnf(refute_13_956,plain,
op1(e12,op1(e10,e13)) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_13_177,refute_13_955]) ).
cnf(refute_13_957,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e12,op1(e10,e13)) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e11) ),[0],$fot(op1(e12,op1(e10,e13)))]]) ).
cnf(refute_13_958,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e10,e13)),e11) )],[refute_13_956,refute_13_957]) ).
cnf(refute_13_959,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_13_949,refute_13_958]) ).
cnf(refute_13_960,plain,
op1(op1(e10,e11),e12) = op1(op1(e10,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e11),e12))]]) ).
cnf(refute_13_961,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) != op1(op1(e10,e11),e12)
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_13_962,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) )],[refute_13_960,refute_13_961]) ).
cnf(refute_13_963,plain,
op1(op1(e10,e11),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_13_959,refute_13_962]) ).
cnf(refute_13_964,plain,
( op1(op1(e10,e11),e12) != e13
| op1(op1(e10,e11),e12) != op1(e11,e12)
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),e13) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_13_965,plain,
( op1(op1(e10,e11),e12) != e13
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e11,e12)) )],[refute_13_963,refute_13_964]) ).
cnf(refute_13_966,plain,
op1(e11,e12) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),e13) )],[refute_13_927,refute_13_965]) ).
cnf(refute_13_967,plain,
h12(op1(e11,e12)) = h12(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e12)))]]) ).
cnf(refute_13_968,plain,
( h12(op1(e11,e12)) != h12(op1(e11,e12))
| op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_13_969,plain,
( op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) )],[refute_13_967,refute_13_968]) ).
cnf(refute_13_970,plain,
h12(op1(e11,e12)) = h12(e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_13_966,refute_13_969]) ).
cnf(refute_13_971,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) != h12(e13)
| h12(op1(e11,e12)) = e22 ),
inference(subst,[],[refute_13_16:[bind(X,$fot(h12(op1(e11,e12)))),bind(Y,$fot(h12(e13))),bind(Z,$fot(e22))]]) ).
cnf(refute_13_972,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(e13)) )],[refute_13_970,refute_13_971]) ).
cnf(refute_13_973,plain,
h12(op1(e11,e12)) = e22,
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_13_35,refute_13_972]) ).
cnf(refute_13_974,plain,
( h12(op1(e11,e12)) != e22
| h12(op1(e11,e12)) != h11(e11)
| e22 = h11(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),h11(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_13_975,plain,
( h12(op1(e11,e12)) != h11(e11)
| e22 = h11(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),e22) )],[refute_13_973,refute_13_974]) ).
cnf(refute_13_976,plain,
e22 = h11(e11),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h11(e11)) )],[refute_13_870,refute_13_975]) ).
cnf(refute_13_977,plain,
( e22 != h11(e11)
| h11(e11) = e22 ),
inference(subst,[],[refute_13_5:[bind(X,$fot(e22)),bind(Y,$fot(h11(e11)))]]) ).
cnf(refute_13_978,plain,
h11(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h11(e11)) )],[refute_13_976,refute_13_977]) ).
cnf(refute_13_979,plain,
op2(e21,h11(e11)) = op2(e21,h11(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_13_980,plain,
( h11(e11) != e22
| op2(e21,h11(e11)) != op2(e21,h11(e11))
| op2(e21,h11(e11)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,h11(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_13_981,plain,
( h11(e11) != e22
| op2(e21,h11(e11)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,h11(e11))) )],[refute_13_979,refute_13_980]) ).
cnf(refute_13_982,plain,
op2(e21,h11(e11)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_13_978,refute_13_981]) ).
cnf(refute_13_983,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h11(e11)) != op2(e21,e22)
| op2(e21,h11(e11)) = h5(e11) ),
inference(subst,[],[refute_13_16:[bind(X,$fot(op2(e21,h11(e11)))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_13_984,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h11(e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,e22)) )],[refute_13_982,refute_13_983]) ).
cnf(refute_13_985,plain,
op2(e21,h11(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_13_7,refute_13_984]) ).
cnf(refute_13_986,plain,
( h10(e11) != op2(e21,h11(e11))
| op2(e21,h11(e11)) != h5(e11)
| h10(e11) = h5(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),h5(e11)) ),[0],$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_13_987,plain,
( h10(e11) != op2(e21,h11(e11))
| h10(e11) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),h5(e11)) )],[refute_13_985,refute_13_986]) ).
cnf(refute_13_988,plain,
h10(e11) = h5(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e21,h11(e11))) )],[refute_13_841,refute_13_987]) ).
cnf(refute_13_989,plain,
( h10(e11) != h5(e11)
| h5(e11) = h10(e11) ),
inference(subst,[],[refute_13_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h5(e11)))]]) ).
cnf(refute_13_990,plain,
h5(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h5(e11)) )],[refute_13_988,refute_13_989]) ).
cnf(refute_13_991,plain,
( h10(e11) != h10(e11)
| h5(e11) != h10(e11)
| h10(e11) = h5(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),h5(e11)) ),[1],$fot(h10(e11))]]) ).
cnf(refute_13_992,plain,
( h10(e11) != h10(e11)
| h10(e11) = h5(e11) ),
inference(resolve,[$cnf( $equal(h5(e11),h10(e11)) )],[refute_13_990,refute_13_991]) ).
cnf(refute_13_993,plain,
( h10(e11) != h10(e11)
| h12(op1(e13,e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),h5(e11)) )],[refute_13_992,refute_13_681]) ).
cnf(refute_13_994,plain,
h10(e11) != h10(e11),
inference(resolve,[$cnf( $equal(h12(op1(e13,e11)),h5(e11)) )],[refute_13_993,refute_13_45]) ).
cnf(refute_13_995,plain,
h10(e11) = h10(e11),
introduced(tautology,[refl,[$fot(h10(e11))]]) ).
cnf(refute_13_996,plain,
$false,
inference(resolve,[$cnf( $equal(h10(e11),h10(e11)) )],[refute_13_995,refute_13_994]) ).
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))
& 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11)) )
=> h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_14_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_14_1]) ).
fof(normalize_14_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_14_1]) ).
fof(normalize_14_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_14_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_14_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_14_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_14_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_14_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_14_16]) ).
fof(normalize_14_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_14_16]) ).
fof(normalize_14_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_14_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_14_19]) ).
fof(normalize_14_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_14_19]) ).
fof(normalize_14_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_14_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_14_22]) ).
fof(normalize_14_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_14_22]) ).
fof(normalize_14_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_14_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_14_25]) ).
fof(normalize_14_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_14_25]) ).
fof(normalize_14_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_14_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_14_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_14_31]) ).
fof(normalize_14_34,plain,
( h12(op1(e13,e12)) != op2(h12(e13),h12(e12))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_14_0,normalize_14_2,normalize_14_3,normalize_14_5,normalize_14_6,normalize_14_8,normalize_14_9,normalize_14_11,normalize_14_12,normalize_14_14,normalize_14_15,normalize_14_17,normalize_14_18,normalize_14_20,normalize_14_21,normalize_14_23,normalize_14_24,normalize_14_26,normalize_14_27,normalize_14_29,normalize_14_30,normalize_14_32,normalize_14_33]) ).
fof(normalize_14_35,plain,
h12(op1(e13,e12)) != op2(h12(e13),h12(e12)),
inference(conjunct,[],[normalize_14_34]) ).
fof(normalize_14_36,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_14_37,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_14_36]) ).
fof(normalize_14_38,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_14_39,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_40,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_41,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_14_42,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_43,plain,
h5(e11) = op2(e21,e22),
inference(conjunct,[],[normalize_14_19]) ).
fof(normalize_14_44,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_45,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_46,plain,
h4(e11) = op2(e21,e20),
inference(conjunct,[],[normalize_14_16]) ).
fof(normalize_14_47,plain,
h12(op1(e12,e12)) = op2(h12(e12),h12(e12)),
inference(conjunct,[],[normalize_14_34]) ).
fof(normalize_14_48,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_14_36]) ).
fof(normalize_14_49,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_14_50,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_14_49]) ).
fof(normalize_14_51,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_14_50]) ).
fof(normalize_14_52,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_14_53,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_14_52,normalize_14_49]) ).
fof(normalize_14_54,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_14_53]) ).
fof(normalize_14_55,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_14_54]) ).
fof(normalize_14_56,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,[],[ax17]) ).
fof(normalize_14_57,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_14_56]) ).
fof(normalize_14_58,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_14_59,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_14_58]) ).
fof(normalize_14_60,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_14_61,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_14_60,normalize_14_53,normalize_14_49]) ).
fof(normalize_14_62,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_14_63,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_14_61,normalize_14_62]) ).
fof(normalize_14_64,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_14_63]) ).
fof(normalize_14_65,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_14_64]) ).
fof(normalize_14_66,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_14_58]) ).
fof(normalize_14_67,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_14_68,plain,
e10 != e13,
inference(conjunct,[],[normalize_14_67]) ).
fof(normalize_14_69,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_14_62]) ).
fof(normalize_14_70,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_14_69]) ).
fof(normalize_14_71,plain,
e10 != e12,
inference(conjunct,[],[normalize_14_67]) ).
fof(normalize_14_72,plain,
op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_73,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_14_28]) ).
fof(normalize_14_74,plain,
h1(e11) = op2(e20,e21),
inference(conjunct,[],[normalize_14_1]) ).
fof(normalize_14_75,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_76,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_77,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_78,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_14_13]) ).
fof(normalize_14_79,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_80,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_81,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_14_10]) ).
fof(normalize_14_82,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_83,plain,
h10(e10) = op2(e20,e20),
inference(conjunct,[],[normalize_14_4]) ).
fof(normalize_14_84,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_14_85,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_14_84]) ).
fof(normalize_14_86,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_14_85]) ).
fof(normalize_14_87,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_14_88,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_14_87,normalize_14_84]) ).
fof(normalize_14_89,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_14_88]) ).
fof(normalize_14_90,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_14_89]) ).
fof(normalize_14_91,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,[],[ax18]) ).
fof(normalize_14_92,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_14_91]) ).
fof(normalize_14_93,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_14_94,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_14_93,normalize_14_88,normalize_14_84]) ).
fof(normalize_14_95,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_14_96,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_14_94,normalize_14_95]) ).
fof(normalize_14_97,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_14_96]) ).
fof(normalize_14_98,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_14_97]) ).
fof(normalize_14_99,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_14_100,plain,
e20 != e23,
inference(conjunct,[],[normalize_14_99]) ).
fof(normalize_14_101,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_14_95]) ).
fof(normalize_14_102,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_14_101]) ).
fof(normalize_14_103,plain,
e20 != e22,
inference(conjunct,[],[normalize_14_99]) ).
fof(normalize_14_104,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,[],[ax5]) ).
fof(normalize_14_105,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(conjunct,[],[normalize_14_104]) ).
fof(normalize_14_106,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_14_22]) ).
fof(normalize_14_107,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_14_91]) ).
fof(normalize_14_108,plain,
op2(e21,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_14_91]) ).
fof(normalize_14_109,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_14_34]) ).
fof(normalize_14_110,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_111,plain,
h12(op1(e12,e11)) = op2(h12(e12),h12(e11)),
inference(conjunct,[],[normalize_14_34]) ).
fof(normalize_14_112,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_113,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_14_38]) ).
fof(normalize_14_114,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_14_115,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_116,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_14_25]) ).
fof(normalize_14_117,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_118,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_14_91]) ).
fof(normalize_14_119,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_120,plain,
h1(e10) = op2(e21,e21),
inference(conjunct,[],[normalize_14_1]) ).
fof(normalize_14_121,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_122,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_123,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_124,plain,
op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_125,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_14_41]) ).
fof(normalize_14_126,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_14_104]) ).
fof(normalize_14_127,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_14_91]) ).
fof(normalize_14_128,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_14_91]) ).
fof(normalize_14_129,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_14_91]) ).
fof(normalize_14_130,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_14_85]) ).
fof(normalize_14_131,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_132,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_133,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_134,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_135,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_136,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_137,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_14_138,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_14_137]) ).
fof(normalize_14_139,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_14_56]) ).
fof(normalize_14_140,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_14_56]) ).
fof(normalize_14_141,plain,
e22 != e23,
inference(conjunct,[],[normalize_14_99]) ).
fof(normalize_14_142,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_143,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_144,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_14_114]) ).
fof(normalize_14_145,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_14_50]) ).
cnf(refute_14_0,plain,
h12(op1(e13,e12)) != op2(h12(e13),h12(e12)),
inference(canonicalize,[],[normalize_14_35]) ).
cnf(refute_14_1,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_14_37]) ).
cnf(refute_14_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_2,refute_14_3]) ).
cnf(refute_14_5,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_14_6,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_14_1,refute_14_5]) ).
cnf(refute_14_7,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_14_39]) ).
cnf(refute_14_8,plain,
op2(e22,h12(e12)) = op2(e22,h12(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e12)))]]) ).
cnf(refute_14_9,plain,
( h12(e12) != e23
| op2(e22,h12(e12)) != op2(e22,h12(e12))
| op2(e22,h12(e12)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e12)),op2(e22,h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_10,plain,
( h12(e12) != e23
| op2(e22,h12(e12)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e12)),op2(e22,h12(e12))) )],[refute_14_8,refute_14_9]) ).
cnf(refute_14_11,plain,
op2(e22,h12(e12)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_14_7,refute_14_10]) ).
cnf(refute_14_12,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_14_40]) ).
cnf(refute_14_13,plain,
op2(h12(e13),h12(e12)) = op2(h12(e13),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e13),h12(e12)))]]) ).
cnf(refute_14_14,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e12)) != op2(h12(e13),h12(e12))
| op2(h12(e13),h12(e12)) = op2(e22,h12(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e13),h12(e12)),op2(h12(e13),h12(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_14_15,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e12)) = op2(e22,h12(e12)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e12)),op2(h12(e13),h12(e12))) )],[refute_14_13,refute_14_14]) ).
cnf(refute_14_16,plain,
op2(h12(e13),h12(e12)) = op2(e22,h12(e12)),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_14_12,refute_14_15]) ).
cnf(refute_14_17,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_18,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_4,refute_14_17]) ).
cnf(refute_14_19,plain,
( op2(e22,h12(e12)) != op2(e22,e23)
| op2(h12(e13),h12(e12)) != op2(e22,h12(e12))
| op2(h12(e13),h12(e12)) = op2(e22,e23) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e13),h12(e12)))),bind(Y,$fot(op2(e22,h12(e12)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_14_20,plain,
( op2(e22,h12(e12)) != op2(e22,e23)
| op2(h12(e13),h12(e12)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e12)),op2(e22,h12(e12))) )],[refute_14_16,refute_14_19]) ).
cnf(refute_14_21,plain,
op2(h12(e13),h12(e12)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,h12(e12)),op2(e22,e23)) )],[refute_14_11,refute_14_20]) ).
cnf(refute_14_22,plain,
( op2(e22,e23) != e21
| op2(h12(e13),h12(e12)) != op2(e22,e23)
| op2(h12(e13),h12(e12)) = e21 ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e13),h12(e12)))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_14_23,plain,
( op2(e22,e23) != e21
| op2(h12(e13),h12(e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e12)),op2(e22,e23)) )],[refute_14_21,refute_14_22]) ).
cnf(refute_14_24,plain,
op2(h12(e13),h12(e12)) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_23]) ).
cnf(refute_14_25,plain,
( h12(op1(e13,e12)) != e21
| op2(h12(e13),h12(e12)) != e21
| h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e13,e12)),op2(h12(e13),h12(e12))) ),[1],$fot(e21)]]) ).
cnf(refute_14_26,plain,
( h12(op1(e13,e12)) != e21
| h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e12)),e21) )],[refute_14_24,refute_14_25]) ).
cnf(refute_14_27,plain,
h12(op1(e13,e12)) != e21,
inference(resolve,[$cnf( $equal(h12(op1(e13,e12)),op2(h12(e13),h12(e12))) )],[refute_14_26,refute_14_0]) ).
cnf(refute_14_28,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_42]) ).
cnf(refute_14_29,plain,
h5(e11) = op2(e21,e22),
inference(canonicalize,[],[normalize_14_43]) ).
cnf(refute_14_30,plain,
( h5(e11) != op2(e21,e22)
| op2(e21,e22) = h5(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_14_31,plain,
op2(e21,e22) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e21,e22)) )],[refute_14_29,refute_14_30]) ).
cnf(refute_14_32,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_14_33,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h5(e11))]]) ).
cnf(refute_14_34,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_14_32,refute_14_33]) ).
cnf(refute_14_35,plain,
op2(op2(e21,e22),e22) = op2(h5(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_14_31,refute_14_34]) ).
cnf(refute_14_36,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[0],$fot(op2(h5(e11),e22))]]) ).
cnf(refute_14_37,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h5(e11),e22)) )],[refute_14_35,refute_14_36]) ).
cnf(refute_14_38,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_14_44]) ).
cnf(refute_14_39,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_14_45]) ).
cnf(refute_14_40,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_14_41,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_14_39,refute_14_40]) ).
cnf(refute_14_42,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_14_43,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_14_41,refute_14_42]) ).
cnf(refute_14_44,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_14_38,refute_14_43]) ).
cnf(refute_14_45,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_14_46,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_14_44,refute_14_45]) ).
cnf(refute_14_47,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_14_48,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_14_41,refute_14_47]) ).
cnf(refute_14_49,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_14_46,refute_14_48]) ).
cnf(refute_14_50,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_14_51,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_14_52,plain,
( op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_14_50,refute_14_51]) ).
cnf(refute_14_53,plain,
op2(e21,op2(e22,e22)) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_52]) ).
cnf(refute_14_54,plain,
( op2(e21,op2(e22,e22)) != op2(e21,h12(e10))
| op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_14_55,plain,
( op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,h12(e10))) )],[refute_14_53,refute_14_54]) ).
cnf(refute_14_56,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) )],[refute_14_37,refute_14_55]) ).
cnf(refute_14_57,plain,
op2(h5(e11),e22) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_14_28,refute_14_56]) ).
cnf(refute_14_58,plain,
h4(e11) = op2(e21,e20),
inference(canonicalize,[],[normalize_14_46]) ).
cnf(refute_14_59,plain,
( h4(e11) != op2(e21,e20)
| op2(e21,e20) = h4(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_14_60,plain,
op2(e21,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_14_58,refute_14_59]) ).
cnf(refute_14_61,plain,
h12(op1(e12,e12)) = op2(h12(e12),h12(e12)),
inference(canonicalize,[],[normalize_14_47]) ).
cnf(refute_14_62,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_14_48]) ).
cnf(refute_14_63,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_64,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_14_62,refute_14_63]) ).
cnf(refute_14_65,plain,
op2(e23,h12(e12)) = op2(e23,h12(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h12(e12)))]]) ).
cnf(refute_14_66,plain,
( h12(e12) != e23
| op2(e23,h12(e12)) != op2(e23,h12(e12))
| op2(e23,h12(e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h12(e12)),op2(e23,h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_67,plain,
( h12(e12) != e23
| op2(e23,h12(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h12(e12)),op2(e23,h12(e12))) )],[refute_14_65,refute_14_66]) ).
cnf(refute_14_68,plain,
op2(e23,h12(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_14_7,refute_14_67]) ).
cnf(refute_14_69,plain,
op2(h12(e12),h12(e12)) = op2(h12(e12),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e12),h12(e12)))]]) ).
cnf(refute_14_70,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e12)) != op2(h12(e12),h12(e12))
| op2(h12(e12),h12(e12)) = op2(e23,h12(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(h12(e12),h12(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_71,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e12)) = op2(e23,h12(e12)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(h12(e12),h12(e12))) )],[refute_14_69,refute_14_70]) ).
cnf(refute_14_72,plain,
op2(h12(e12),h12(e12)) = op2(e23,h12(e12)),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_14_7,refute_14_71]) ).
cnf(refute_14_73,plain,
( op2(e23,h12(e12)) != op2(e23,e23)
| op2(h12(e12),h12(e12)) != op2(e23,h12(e12))
| op2(h12(e12),h12(e12)) = op2(e23,e23) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e12),h12(e12)))),bind(Y,$fot(op2(e23,h12(e12)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_74,plain,
( op2(e23,h12(e12)) != op2(e23,e23)
| op2(h12(e12),h12(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(e23,h12(e12))) )],[refute_14_72,refute_14_73]) ).
cnf(refute_14_75,plain,
op2(h12(e12),h12(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h12(e12)),op2(e23,e23)) )],[refute_14_68,refute_14_74]) ).
cnf(refute_14_76,plain,
( op2(e23,e23) != e20
| op2(h12(e12),h12(e12)) != op2(e23,e23)
| op2(h12(e12),h12(e12)) = e20 ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e12),h12(e12)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_14_77,plain,
( op2(e23,e23) != e20
| op2(h12(e12),h12(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),op2(e23,e23)) )],[refute_14_75,refute_14_76]) ).
cnf(refute_14_78,plain,
op2(h12(e12),h12(e12)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_77]) ).
cnf(refute_14_79,plain,
( h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| op2(h12(e12),h12(e12)) != e20
| h12(op1(e12,e12)) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e12,e12)),e20) ),[0],$fot(op2(h12(e12),h12(e12)))]]) ).
cnf(refute_14_80,plain,
( h12(op1(e12,e12)) != op2(h12(e12),h12(e12))
| h12(op1(e12,e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e12)),e20) )],[refute_14_78,refute_14_79]) ).
cnf(refute_14_81,plain,
h12(op1(e12,e12)) = e20,
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),op2(h12(e12),h12(e12))) )],[refute_14_61,refute_14_80]) ).
cnf(refute_14_82,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_14_51]) ).
cnf(refute_14_83,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_14_55]) ).
cnf(refute_14_84,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_14_57]) ).
cnf(refute_14_85,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_14_59]) ).
cnf(refute_14_86,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_14_87,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_14_85,refute_14_86]) ).
cnf(refute_14_88,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_14_89,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_87,refute_14_88]) ).
cnf(refute_14_90,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_14_89,refute_14_84]) ).
cnf(refute_14_91,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_14_83,refute_14_90]) ).
cnf(refute_14_92,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_14_65]) ).
cnf(refute_14_93,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_14_66]) ).
cnf(refute_14_94,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_14_95,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_14_93,refute_14_94]) ).
cnf(refute_14_96,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_14_97,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_95,refute_14_96]) ).
cnf(refute_14_98,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_14_92,refute_14_97]) ).
cnf(refute_14_99,plain,
e10 != e13,
inference(canonicalize,[],[normalize_14_68]) ).
cnf(refute_14_100,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_14_98,refute_14_99]) ).
cnf(refute_14_101,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_14_70]) ).
cnf(refute_14_102,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_14_103,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_95,refute_14_102]) ).
cnf(refute_14_104,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_14_101,refute_14_103]) ).
cnf(refute_14_105,plain,
e10 != e12,
inference(canonicalize,[],[normalize_14_71]) ).
cnf(refute_14_106,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_14_104,refute_14_105]) ).
cnf(refute_14_107,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_14_100,refute_14_106]) ).
cnf(refute_14_108,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_14_107,refute_14_91]) ).
cnf(refute_14_109,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_14_82,refute_14_108]) ).
cnf(refute_14_110,plain,
h12(op1(e12,e12)) = h12(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e12,e12)))]]) ).
cnf(refute_14_111,plain,
( h12(op1(e12,e12)) != h12(op1(e12,e12))
| op1(e12,e12) != e10
| h12(op1(e12,e12)) = h12(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e12)),h12(op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_14_112,plain,
( op1(e12,e12) != e10
| h12(op1(e12,e12)) = h12(e10) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),h12(op1(e12,e12))) )],[refute_14_110,refute_14_111]) ).
cnf(refute_14_113,plain,
h12(op1(e12,e12)) = h12(e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_14_109,refute_14_112]) ).
cnf(refute_14_114,plain,
( h12(op1(e12,e12)) != e20
| h12(op1(e12,e12)) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e12)),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_14_115,plain,
( h12(op1(e12,e12)) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),h12(e10)) )],[refute_14_113,refute_14_114]) ).
cnf(refute_14_116,plain,
h12(e10) = e20,
inference(resolve,[$cnf( $equal(h12(op1(e12,e12)),e20) )],[refute_14_81,refute_14_115]) ).
cnf(refute_14_117,plain,
op2(e21,h12(e10)) = op2(e21,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_14_118,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) != op2(e21,h12(e10))
| op2(e21,h12(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_119,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) )],[refute_14_117,refute_14_118]) ).
cnf(refute_14_120,plain,
op2(e21,h12(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_14_116,refute_14_119]) ).
cnf(refute_14_121,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h12(e10)) != op2(e21,e20)
| op2(e21,h12(e10)) = h4(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e21,h12(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_14_122,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h12(e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,e20)) )],[refute_14_120,refute_14_121]) ).
cnf(refute_14_123,plain,
op2(e21,h12(e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_14_60,refute_14_122]) ).
cnf(refute_14_124,plain,
( op2(e21,h12(e10)) != h4(e11)
| op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_14_125,plain,
( op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),h4(e11)) )],[refute_14_123,refute_14_124]) ).
cnf(refute_14_126,plain,
op2(h5(e11),e22) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) )],[refute_14_57,refute_14_125]) ).
cnf(refute_14_127,plain,
op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21)),
inference(canonicalize,[],[normalize_14_72]) ).
cnf(refute_14_128,plain,
op2(op2(e22,e22),e21) = op2(op2(e22,e22),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e21))]]) ).
cnf(refute_14_129,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e21) != op2(op2(e22,e22),e21)
| op2(op2(e22,e22),e21) = op2(h12(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e21),op2(op2(e22,e22),e21)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_14_130,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e21) = op2(h12(e10),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e21),op2(op2(e22,e22),e21)) )],[refute_14_128,refute_14_129]) ).
cnf(refute_14_131,plain,
op2(op2(e22,e22),e21) = op2(h12(e10),e21),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_130]) ).
cnf(refute_14_132,plain,
( op2(op2(e22,e22),e21) != op2(e22,op2(e22,e21))
| op2(op2(e22,e22),e21) != op2(h12(e10),e21)
| op2(h12(e10),e21) = op2(e22,op2(e22,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e21),op2(e22,op2(e22,e21))) ),[0],$fot(op2(h12(e10),e21))]]) ).
cnf(refute_14_133,plain,
( op2(op2(e22,e22),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,op2(e22,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e21),op2(h12(e10),e21)) )],[refute_14_131,refute_14_132]) ).
cnf(refute_14_134,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_14_73]) ).
cnf(refute_14_135,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_14_136,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_14_134,refute_14_135]) ).
cnf(refute_14_137,plain,
op2(e22,op2(e22,e21)) = op2(e22,op2(e22,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e21)))]]) ).
cnf(refute_14_138,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e21)) != op2(e22,op2(e22,e21))
| op2(e22,op2(e22,e21)) = op2(e22,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e21)),op2(e22,op2(e22,e21))) ),[1,1],$fot(h8(e11))]]) ).
cnf(refute_14_139,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e21)) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),op2(e22,op2(e22,e21))) )],[refute_14_137,refute_14_138]) ).
cnf(refute_14_140,plain,
op2(e22,op2(e22,e21)) = op2(e22,h8(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_14_136,refute_14_139]) ).
cnf(refute_14_141,plain,
( op2(e22,op2(e22,e21)) != op2(e22,h8(e11))
| op2(h12(e10),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e21),op2(e22,op2(e22,e21))) ),[1],$fot(op2(e22,h8(e11)))]]) ).
cnf(refute_14_142,plain,
( op2(h12(e10),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e21)),op2(e22,h8(e11))) )],[refute_14_140,refute_14_141]) ).
cnf(refute_14_143,plain,
( op2(op2(e22,e22),e21) != op2(e22,op2(e22,e21))
| op2(h12(e10),e21) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(e22,op2(e22,e21))) )],[refute_14_133,refute_14_142]) ).
cnf(refute_14_144,plain,
op2(h12(e10),e21) = op2(e22,h8(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e21),op2(e22,op2(e22,e21))) )],[refute_14_127,refute_14_143]) ).
cnf(refute_14_145,plain,
h1(e11) = op2(e20,e21),
inference(canonicalize,[],[normalize_14_74]) ).
cnf(refute_14_146,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_14_147,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_14_145,refute_14_146]) ).
cnf(refute_14_148,plain,
op2(h12(e10),e21) = op2(h12(e10),e21),
introduced(tautology,[refl,[$fot(op2(h12(e10),e21))]]) ).
cnf(refute_14_149,plain,
( h12(e10) != e20
| op2(h12(e10),e21) != op2(h12(e10),e21)
| op2(h12(e10),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e21),op2(h12(e10),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_150,plain,
( h12(e10) != e20
| op2(h12(e10),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(h12(e10),e21)) )],[refute_14_148,refute_14_149]) ).
cnf(refute_14_151,plain,
op2(h12(e10),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_14_116,refute_14_150]) ).
cnf(refute_14_152,plain,
( op2(e20,e21) != h1(e11)
| op2(h12(e10),e21) != op2(e20,e21)
| op2(h12(e10),e21) = h1(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e10),e21))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_14_153,plain,
( op2(e20,e21) != h1(e11)
| op2(h12(e10),e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(e20,e21)) )],[refute_14_151,refute_14_152]) ).
cnf(refute_14_154,plain,
op2(h12(e10),e21) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_14_147,refute_14_153]) ).
cnf(refute_14_155,plain,
( op2(h12(e10),e21) != h1(e11)
| op2(h12(e10),e21) != op2(e22,h8(e11))
| h1(e11) = op2(e22,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e21),op2(e22,h8(e11))) ),[0],$fot(h1(e11))]]) ).
cnf(refute_14_156,plain,
( op2(h12(e10),e21) != op2(e22,h8(e11))
| h1(e11) = op2(e22,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),h1(e11)) )],[refute_14_154,refute_14_155]) ).
cnf(refute_14_157,plain,
h1(e11) = op2(e22,h8(e11)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e21),op2(e22,h8(e11))) )],[refute_14_144,refute_14_156]) ).
cnf(refute_14_158,plain,
op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20)),
inference(canonicalize,[],[normalize_14_75]) ).
cnf(refute_14_159,plain,
op2(op2(e22,e23),e20) = op2(op2(e22,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e20))]]) ).
cnf(refute_14_160,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) != op2(op2(e22,e23),e20)
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_14_161,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(op2(e22,e23),e20)) )],[refute_14_159,refute_14_160]) ).
cnf(refute_14_162,plain,
op2(op2(e22,e23),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_161]) ).
cnf(refute_14_163,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e21,e20)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(op2(e22,e23),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_14_164,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e22,e23),e20) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e21,e20)) )],[refute_14_162,refute_14_163]) ).
cnf(refute_14_165,plain,
op2(op2(e22,e23),e20) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_14_60,refute_14_164]) ).
cnf(refute_14_166,plain,
( op2(op2(e22,e23),e20) != h4(e11)
| op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) ),[0],$fot(h4(e11))]]) ).
cnf(refute_14_167,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),h4(e11)) )],[refute_14_165,refute_14_166]) ).
cnf(refute_14_168,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_14_76]) ).
cnf(refute_14_169,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_14_170,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_14_168,refute_14_169]) ).
cnf(refute_14_171,plain,
op2(e22,op2(e23,e20)) = op2(e22,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_14_172,plain,
( op2(e22,op2(e23,e20)) != op2(e22,op2(e23,e20))
| op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_14_173,plain,
( op2(e23,e20) != h10(e11)
| op2(e22,op2(e23,e20)) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,op2(e23,e20))) )],[refute_14_171,refute_14_172]) ).
cnf(refute_14_174,plain,
op2(e22,op2(e23,e20)) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_14_170,refute_14_173]) ).
cnf(refute_14_175,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| op2(e22,op2(e23,e20)) != op2(e22,h10(e11))
| h4(e11) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e11),op2(e22,h10(e11))) ),[0],$fot(op2(e22,op2(e23,e20)))]]) ).
cnf(refute_14_176,plain,
( h4(e11) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e20)),op2(e22,h10(e11))) )],[refute_14_174,refute_14_175]) ).
cnf(refute_14_177,plain,
( op2(op2(e22,e23),e20) != op2(e22,op2(e23,e20))
| h4(e11) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,op2(e23,e20))) )],[refute_14_167,refute_14_176]) ).
cnf(refute_14_178,plain,
h4(e11) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e20),op2(e22,op2(e23,e20))) )],[refute_14_158,refute_14_177]) ).
cnf(refute_14_179,plain,
( h4(e11) != op2(e22,h10(e11))
| op2(e22,h10(e11)) = h4(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e22,h10(e11))))]]) ).
cnf(refute_14_180,plain,
op2(e22,h10(e11)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e22,h10(e11))) )],[refute_14_178,refute_14_179]) ).
cnf(refute_14_181,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_14_77]) ).
cnf(refute_14_182,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_14_183,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_14_184,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_14_182,refute_14_183]) ).
cnf(refute_14_185,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_184]) ).
cnf(refute_14_186,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_14_187,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_14_185,refute_14_186]) ).
cnf(refute_14_188,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_14_189,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_14_190,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_14_188,refute_14_189]) ).
cnf(refute_14_191,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_190]) ).
cnf(refute_14_192,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_14_193,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_14_191,refute_14_192]) ).
cnf(refute_14_194,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_14_136,refute_14_193]) ).
cnf(refute_14_195,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_14_196,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_14_194,refute_14_195]) ).
cnf(refute_14_197,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_14_187,refute_14_196]) ).
cnf(refute_14_198,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_14_181,refute_14_197]) ).
cnf(refute_14_199,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_14_78]) ).
cnf(refute_14_200,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_14_79]) ).
cnf(refute_14_201,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_202,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_14_199,refute_14_201]) ).
cnf(refute_14_203,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_14_204,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_205,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_14_203,refute_14_204]) ).
cnf(refute_14_206,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_205]) ).
cnf(refute_14_207,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_14_208,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_14_206,refute_14_207]) ).
cnf(refute_14_209,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_208]) ).
cnf(refute_14_210,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_14_211,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_14_209,refute_14_210]) ).
cnf(refute_14_212,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_213,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_214,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_14_212,refute_14_213]) ).
cnf(refute_14_215,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_214]) ).
cnf(refute_14_216,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_14_217,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_14_215,refute_14_216]) ).
cnf(refute_14_218,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_14_170,refute_14_217]) ).
cnf(refute_14_219,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_14_220,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_14_218,refute_14_219]) ).
cnf(refute_14_221,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_14_211,refute_14_220]) ).
cnf(refute_14_222,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_14_200,refute_14_221]) ).
cnf(refute_14_223,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_14_224,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_14_222,refute_14_223]) ).
cnf(refute_14_225,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_14_199,refute_14_224]) ).
cnf(refute_14_226,plain,
( h10(e11) != op2(e20,e23)
| op2(e20,e23) = h10(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_227,plain,
op2(e20,e23) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_14_225,refute_14_226]) ).
cnf(refute_14_228,plain,
op2(h12(e10),e23) = op2(h12(e10),e23),
introduced(tautology,[refl,[$fot(op2(h12(e10),e23))]]) ).
cnf(refute_14_229,plain,
( h12(e10) != e20
| op2(h12(e10),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_230,plain,
( h12(e10) != e20
| op2(h12(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) )],[refute_14_228,refute_14_229]) ).
cnf(refute_14_231,plain,
op2(h12(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_14_116,refute_14_230]) ).
cnf(refute_14_232,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) != op2(e20,e23)
| op2(h12(e10),e23) = h10(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_14_233,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e20,e23)) )],[refute_14_231,refute_14_232]) ).
cnf(refute_14_234,plain,
op2(h12(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_14_227,refute_14_233]) ).
cnf(refute_14_235,plain,
( op2(h12(e10),e23) != h10(e11)
| op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_14_236,plain,
( op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h10(e11)) )],[refute_14_234,refute_14_235]) ).
cnf(refute_14_237,plain,
h10(e11) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_14_198,refute_14_236]) ).
cnf(refute_14_238,plain,
( h10(e11) != h8(e11)
| h8(e11) = h10(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h10(e11))),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_14_239,plain,
h8(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h8(e11)) )],[refute_14_237,refute_14_238]) ).
cnf(refute_14_240,plain,
op2(e22,h8(e11)) = op2(e22,h8(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h8(e11)))]]) ).
cnf(refute_14_241,plain,
( h8(e11) != h10(e11)
| op2(e22,h8(e11)) != op2(e22,h8(e11))
| op2(e22,h8(e11)) = op2(e22,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h8(e11)),op2(e22,h8(e11))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_14_242,plain,
( h8(e11) != h10(e11)
| op2(e22,h8(e11)) = op2(e22,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e22,h8(e11)),op2(e22,h8(e11))) )],[refute_14_240,refute_14_241]) ).
cnf(refute_14_243,plain,
op2(e22,h8(e11)) = op2(e22,h10(e11)),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_14_239,refute_14_242]) ).
cnf(refute_14_244,plain,
( op2(e22,h10(e11)) != h4(e11)
| op2(e22,h8(e11)) != op2(e22,h10(e11))
| op2(e22,h8(e11)) = h4(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e22,h8(e11)))),bind(Y,$fot(op2(e22,h10(e11)))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_14_245,plain,
( op2(e22,h10(e11)) != h4(e11)
| op2(e22,h8(e11)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h8(e11)),op2(e22,h10(e11))) )],[refute_14_243,refute_14_244]) ).
cnf(refute_14_246,plain,
op2(e22,h8(e11)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e22,h10(e11)),h4(e11)) )],[refute_14_180,refute_14_245]) ).
cnf(refute_14_247,plain,
( h1(e11) != op2(e22,h8(e11))
| op2(e22,h8(e11)) != h4(e11)
| h1(e11) = h4(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),h4(e11)) ),[0],$fot(op2(e22,h8(e11)))]]) ).
cnf(refute_14_248,plain,
( h1(e11) != op2(e22,h8(e11))
| h1(e11) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h8(e11)),h4(e11)) )],[refute_14_246,refute_14_247]) ).
cnf(refute_14_249,plain,
h1(e11) = h4(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e22,h8(e11))) )],[refute_14_157,refute_14_248]) ).
cnf(refute_14_250,plain,
( h1(e11) != h4(e11)
| h4(e11) = h1(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_14_251,plain,
h4(e11) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h4(e11)) )],[refute_14_249,refute_14_250]) ).
cnf(refute_14_252,plain,
( h4(e11) != h1(e11)
| op2(h5(e11),e22) != h4(e11)
| op2(h5(e11),e22) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),h4(e11)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_14_253,plain,
( op2(h5(e11),e22) != h4(e11)
| op2(h5(e11),e22) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_14_251,refute_14_252]) ).
cnf(refute_14_254,plain,
op2(h5(e11),e22) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h4(e11)) )],[refute_14_126,refute_14_253]) ).
cnf(refute_14_255,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(canonicalize,[],[normalize_14_80]) ).
cnf(refute_14_256,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_14_81]) ).
cnf(refute_14_257,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_14_258,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_14_256,refute_14_257]) ).
cnf(refute_14_259,plain,
op2(op2(e20,e22),e23) = op2(op2(e20,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e23))]]) ).
cnf(refute_14_260,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e23) != op2(op2(e20,e22),e23)
| op2(op2(e20,e22),e23) = op2(h2(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_14_261,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e23) = op2(h2(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) )],[refute_14_259,refute_14_260]) ).
cnf(refute_14_262,plain,
op2(op2(e20,e22),e23) = op2(h2(e11),e23),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_14_258,refute_14_261]) ).
cnf(refute_14_263,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e20,e22),e23) != op2(h2(e11),e23)
| op2(h2(e11),e23) = op2(e20,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) ),[0],$fot(op2(h2(e11),e23))]]) ).
cnf(refute_14_264,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = op2(e20,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(h2(e11),e23)) )],[refute_14_262,refute_14_263]) ).
cnf(refute_14_265,plain,
op2(e20,op2(e22,e23)) = op2(e20,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e23)))]]) ).
cnf(refute_14_266,plain,
( op2(e20,op2(e22,e23)) != op2(e20,op2(e22,e23))
| op2(e22,e23) != e21
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_14_267,plain,
( op2(e22,e23) != e21
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,op2(e22,e23))) )],[refute_14_265,refute_14_266]) ).
cnf(refute_14_268,plain,
op2(e20,op2(e22,e23)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_267]) ).
cnf(refute_14_269,plain,
( op2(e20,e21) != h1(e11)
| op2(e20,op2(e22,e23)) != op2(e20,e21)
| op2(e20,op2(e22,e23)) = h1(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e20,op2(e22,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_14_270,plain,
( op2(e20,e21) != h1(e11)
| op2(e20,op2(e22,e23)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,e21)) )],[refute_14_268,refute_14_269]) ).
cnf(refute_14_271,plain,
op2(e20,op2(e22,e23)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_14_147,refute_14_270]) ).
cnf(refute_14_272,plain,
( op2(e20,op2(e22,e23)) != h1(e11)
| op2(h2(e11),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e23),op2(e20,op2(e22,e23))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_14_273,plain,
( op2(h2(e11),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),h1(e11)) )],[refute_14_271,refute_14_272]) ).
cnf(refute_14_274,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),op2(e20,op2(e22,e23))) )],[refute_14_264,refute_14_273]) ).
cnf(refute_14_275,plain,
op2(h2(e11),e23) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) )],[refute_14_255,refute_14_274]) ).
cnf(refute_14_276,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_82]) ).
cnf(refute_14_277,plain,
op2(op2(e20,e22),e22) = op2(op2(e20,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e22))]]) ).
cnf(refute_14_278,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e22) != op2(op2(e20,e22),e22)
| op2(op2(e20,e22),e22) = op2(h2(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(op2(e20,e22),e22)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_14_279,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e22) = op2(h2(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(op2(e20,e22),e22)) )],[refute_14_277,refute_14_278]) ).
cnf(refute_14_280,plain,
op2(op2(e20,e22),e22) = op2(h2(e11),e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_14_258,refute_14_279]) ).
cnf(refute_14_281,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) != op2(h2(e11),e22)
| op2(h2(e11),e22) = op2(e20,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[0],$fot(op2(h2(e11),e22))]]) ).
cnf(refute_14_282,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(h2(e11),e22) = op2(e20,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(h2(e11),e22)) )],[refute_14_280,refute_14_281]) ).
cnf(refute_14_283,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_14_284,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != h12(e10)
| op2(e20,op2(e22,e22)) = op2(e20,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_14_285,plain,
( op2(e22,e22) != h12(e10)
| op2(e20,op2(e22,e22)) = op2(e20,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_14_283,refute_14_284]) ).
cnf(refute_14_286,plain,
op2(e20,op2(e22,e22)) = op2(e20,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_285]) ).
cnf(refute_14_287,plain,
( op2(e20,op2(e22,e22)) != op2(e20,h12(e10))
| op2(h2(e11),e22) != op2(e20,op2(e22,e22))
| op2(h2(e11),e22) = op2(e20,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,h12(e10)))]]) ).
cnf(refute_14_288,plain,
( op2(h2(e11),e22) != op2(e20,op2(e22,e22))
| op2(h2(e11),e22) = op2(e20,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,h12(e10))) )],[refute_14_286,refute_14_287]) ).
cnf(refute_14_289,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(h2(e11),e22) = op2(e20,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),op2(e20,op2(e22,e22))) )],[refute_14_282,refute_14_288]) ).
cnf(refute_14_290,plain,
op2(h2(e11),e22) = op2(e20,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_14_276,refute_14_289]) ).
cnf(refute_14_291,plain,
h10(e10) = op2(e20,e20),
inference(canonicalize,[],[normalize_14_83]) ).
cnf(refute_14_292,plain,
( h10(e10) != op2(e20,e20)
| op2(e20,e20) = h10(e10) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h10(e10))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_14_293,plain,
op2(e20,e20) = h10(e10),
inference(resolve,[$cnf( $equal(h10(e10),op2(e20,e20)) )],[refute_14_291,refute_14_292]) ).
cnf(refute_14_294,plain,
op2(e20,h12(e10)) = op2(e20,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h12(e10)))]]) ).
cnf(refute_14_295,plain,
( h12(e10) != e20
| op2(e20,h12(e10)) != op2(e20,h12(e10))
| op2(e20,h12(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h12(e10)),op2(e20,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_296,plain,
( h12(e10) != e20
| op2(e20,h12(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e10)),op2(e20,h12(e10))) )],[refute_14_294,refute_14_295]) ).
cnf(refute_14_297,plain,
op2(e20,h12(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_14_116,refute_14_296]) ).
cnf(refute_14_298,plain,
( op2(e20,e20) != h10(e10)
| op2(e20,h12(e10)) != op2(e20,e20)
| op2(e20,h12(e10)) = h10(e10) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e20,h12(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h10(e10)))]]) ).
cnf(refute_14_299,plain,
( op2(e20,e20) != h10(e10)
| op2(e20,h12(e10)) = h10(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e10)),op2(e20,e20)) )],[refute_14_297,refute_14_298]) ).
cnf(refute_14_300,plain,
op2(e20,h12(e10)) = h10(e10),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_14_293,refute_14_299]) ).
cnf(refute_14_301,plain,
( op2(e20,h12(e10)) != h10(e10)
| op2(h2(e11),e22) != op2(e20,h12(e10))
| op2(h2(e11),e22) = h10(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),op2(e20,h12(e10))) ),[1],$fot(h10(e10))]]) ).
cnf(refute_14_302,plain,
( op2(h2(e11),e22) != op2(e20,h12(e10))
| op2(h2(e11),e22) = h10(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e10)),h10(e10)) )],[refute_14_300,refute_14_301]) ).
cnf(refute_14_303,plain,
op2(h2(e11),e22) = h10(e10),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),op2(e20,h12(e10))) )],[refute_14_290,refute_14_302]) ).
cnf(refute_14_304,plain,
( op2(e20,e20) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_14_86]) ).
cnf(refute_14_305,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h10(e10)
| h10(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h10(e10))]]) ).
cnf(refute_14_306,plain,
( op2(e20,e20) != e20
| h10(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_14_293,refute_14_305]) ).
cnf(refute_14_307,plain,
( h10(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_14_304,refute_14_306]) ).
cnf(refute_14_308,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_14_90]) ).
cnf(refute_14_309,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_14_310,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_309]) ).
cnf(refute_14_311,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_14_308,refute_14_310]) ).
cnf(refute_14_312,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_14_92]) ).
cnf(refute_14_313,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_14_314,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_313]) ).
cnf(refute_14_315,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_14_316,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_315]) ).
cnf(refute_14_317,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_14_316,refute_14_314]) ).
cnf(refute_14_318,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_14_317,refute_14_312]) ).
cnf(refute_14_319,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_14_311,refute_14_318]) ).
cnf(refute_14_320,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_14_98]) ).
cnf(refute_14_321,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_14_322,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_321]) ).
cnf(refute_14_323,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_14_320,refute_14_322]) ).
cnf(refute_14_324,plain,
e20 != e23,
inference(canonicalize,[],[normalize_14_100]) ).
cnf(refute_14_325,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_14_323,refute_14_324]) ).
cnf(refute_14_326,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_14_102]) ).
cnf(refute_14_327,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_14_328,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_327]) ).
cnf(refute_14_329,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_14_326,refute_14_328]) ).
cnf(refute_14_330,plain,
e20 != e22,
inference(canonicalize,[],[normalize_14_103]) ).
cnf(refute_14_331,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_14_329,refute_14_330]) ).
cnf(refute_14_332,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_14_325,refute_14_331]) ).
cnf(refute_14_333,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_14_332,refute_14_319]) ).
cnf(refute_14_334,plain,
h10(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_14_307,refute_14_333]) ).
cnf(refute_14_335,plain,
( h10(e10) != e20
| op2(h2(e11),e22) != h10(e10)
| op2(h2(e11),e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),h10(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_14_336,plain,
( op2(h2(e11),e22) != h10(e10)
| op2(h2(e11),e22) = e20 ),
inference(resolve,[$cnf( $equal(h10(e10),e20) )],[refute_14_334,refute_14_335]) ).
cnf(refute_14_337,plain,
op2(h2(e11),e22) = e20,
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),h10(e10)) )],[refute_14_303,refute_14_336]) ).
cnf(refute_14_338,plain,
( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(canonicalize,[],[normalize_14_105]) ).
cnf(refute_14_339,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_14_106]) ).
cnf(refute_14_340,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_14_341,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_14_339,refute_14_340]) ).
cnf(refute_14_342,plain,
( op2(e21,e23) != e20
| op2(e21,e23) != h6(e11)
| h6(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e20) ),[0],$fot(h6(e11))]]) ).
cnf(refute_14_343,plain,
( op2(e21,e23) != e20
| h6(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_342]) ).
cnf(refute_14_344,plain,
( h6(e11) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e20) )],[refute_14_338,refute_14_343]) ).
cnf(refute_14_345,plain,
( op2(e21,e23) != e21
| op2(e21,e23) != h6(e11)
| h6(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e21) ),[0],$fot(h6(e11))]]) ).
cnf(refute_14_346,plain,
( op2(e21,e23) != e21
| h6(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_345]) ).
cnf(refute_14_347,plain,
( h6(e11) = e20
| h6(e11) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e21) )],[refute_14_344,refute_14_346]) ).
cnf(refute_14_348,plain,
( op2(e21,e23) != e22
| op2(e21,e23) != h6(e11)
| h6(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e22) ),[0],$fot(h6(e11))]]) ).
cnf(refute_14_349,plain,
( op2(e21,e23) != e22
| h6(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_348]) ).
cnf(refute_14_350,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| op2(e21,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e22) )],[refute_14_347,refute_14_349]) ).
cnf(refute_14_351,plain,
( op2(e21,e23) != e23
| op2(e21,e23) != h6(e11)
| h6(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),e23) ),[0],$fot(h6(e11))]]) ).
cnf(refute_14_352,plain,
( op2(e21,e23) != e23
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_351]) ).
cnf(refute_14_353,plain,
( h6(e11) = e20
| h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e23),e23) )],[refute_14_350,refute_14_352]) ).
cnf(refute_14_354,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_14_107]) ).
cnf(refute_14_355,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_14_356,plain,
( h6(e11) != op2(e23,e23)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_355]) ).
cnf(refute_14_357,plain,
( h6(e11) != e20
| op2(e23,e23) != e20
| h6(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_14_358,plain,
( h6(e11) != e20
| h6(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_357]) ).
cnf(refute_14_359,plain,
( h6(e11) != e20
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e23,e23)) )],[refute_14_358,refute_14_356]) ).
cnf(refute_14_360,plain,
h6(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_14_359,refute_14_354]) ).
cnf(refute_14_361,plain,
( h6(e11) = e21
| h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e20) )],[refute_14_353,refute_14_360]) ).
cnf(refute_14_362,plain,
op2(e21,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_14_108]) ).
cnf(refute_14_363,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) != h6(e11)
| op2(e21,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),h6(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_14_364,plain,
( h6(e11) != op2(e22,e23)
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_363]) ).
cnf(refute_14_365,plain,
( h6(e11) != e21
| op2(e22,e23) != e21
| h6(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_14_366,plain,
( h6(e11) != e21
| h6(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_365]) ).
cnf(refute_14_367,plain,
( h6(e11) != e21
| op2(e21,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e23)) )],[refute_14_366,refute_14_364]) ).
cnf(refute_14_368,plain,
h6(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e22,e23)) )],[refute_14_367,refute_14_362]) ).
cnf(refute_14_369,plain,
( h6(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e21) )],[refute_14_361,refute_14_368]) ).
cnf(refute_14_370,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_14_109]) ).
cnf(refute_14_371,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_110]) ).
cnf(refute_14_372,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_14_373,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_14_374,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_14_372,refute_14_373]) ).
cnf(refute_14_375,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_374]) ).
cnf(refute_14_376,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_14_377,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_14_375,refute_14_376]) ).
cnf(refute_14_378,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_14_379,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_14_380,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_14_378,refute_14_379]) ).
cnf(refute_14_381,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_14_49,refute_14_380]) ).
cnf(refute_14_382,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_14_383,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_14_381,refute_14_382]) ).
cnf(refute_14_384,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_14_377,refute_14_383]) ).
cnf(refute_14_385,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_14_371,refute_14_384]) ).
cnf(refute_14_386,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_14_387,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_14_388,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_14_386,refute_14_387]) ).
cnf(refute_14_389,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_14_12,refute_14_388]) ).
cnf(refute_14_390,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_14_391,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_14_389,refute_14_390]) ).
cnf(refute_14_392,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_14_385,refute_14_391]) ).
cnf(refute_14_393,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_14_394,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_14_392,refute_14_393]) ).
cnf(refute_14_395,plain,
h12(op1(e10,e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_14_370,refute_14_394]) ).
cnf(refute_14_396,plain,
h12(op1(e12,e11)) = op2(h12(e12),h12(e11)),
inference(canonicalize,[],[normalize_14_111]) ).
cnf(refute_14_397,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_14_112]) ).
cnf(refute_14_398,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_14_399,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_400,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_14_398,refute_14_399]) ).
cnf(refute_14_401,plain,
op2(op2(e23,e23),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_400]) ).
cnf(refute_14_402,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e23,e23),e22) != op2(e20,e22)
| op2(op2(e23,e23),e22) = h2(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_14_403,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e23,e23),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e20,e22)) )],[refute_14_401,refute_14_402]) ).
cnf(refute_14_404,plain,
op2(op2(e23,e23),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_14_258,refute_14_403]) ).
cnf(refute_14_405,plain,
( op2(op2(e23,e23),e22) != h2(e11)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_14_406,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),h2(e11)) )],[refute_14_404,refute_14_405]) ).
cnf(refute_14_407,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_14_113]) ).
cnf(refute_14_408,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_14_409,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_14_407,refute_14_408]) ).
cnf(refute_14_410,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_14_411,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(h12(e11))]]) ).
cnf(refute_14_412,plain,
( op2(e23,e22) != h12(e11)
| op2(e23,op2(e23,e22)) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_14_410,refute_14_411]) ).
cnf(refute_14_413,plain,
op2(e23,op2(e23,e22)) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_14_409,refute_14_412]) ).
cnf(refute_14_414,plain,
( h2(e11) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,h12(e11))
| h2(e11) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e23,h12(e11))) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_14_415,plain,
( h2(e11) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,h12(e11))) )],[refute_14_413,refute_14_414]) ).
cnf(refute_14_416,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| h2(e11) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,op2(e23,e22))) )],[refute_14_406,refute_14_415]) ).
cnf(refute_14_417,plain,
h2(e11) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_14_397,refute_14_416]) ).
cnf(refute_14_418,plain,
( h2(e11) != op2(e23,h12(e11))
| op2(e23,h12(e11)) = h2(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e23,h12(e11))))]]) ).
cnf(refute_14_419,plain,
op2(e23,h12(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e23,h12(e11))) )],[refute_14_417,refute_14_418]) ).
cnf(refute_14_420,plain,
op2(h12(e12),h12(e11)) = op2(h12(e12),h12(e11)),
introduced(tautology,[refl,[$fot(op2(h12(e12),h12(e11)))]]) ).
cnf(refute_14_421,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e11)) != op2(h12(e12),h12(e11))
| op2(h12(e12),h12(e11)) = op2(e23,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(h12(e12),h12(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_422,plain,
( h12(e12) != e23
| op2(h12(e12),h12(e11)) = op2(e23,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(h12(e12),h12(e11))) )],[refute_14_420,refute_14_421]) ).
cnf(refute_14_423,plain,
op2(h12(e12),h12(e11)) = op2(e23,h12(e11)),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_14_7,refute_14_422]) ).
cnf(refute_14_424,plain,
( op2(e23,h12(e11)) != h2(e11)
| op2(h12(e12),h12(e11)) != op2(e23,h12(e11))
| op2(h12(e12),h12(e11)) = h2(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h12(e12),h12(e11)))),bind(Y,$fot(op2(e23,h12(e11)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_14_425,plain,
( op2(e23,h12(e11)) != h2(e11)
| op2(h12(e12),h12(e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),op2(e23,h12(e11))) )],[refute_14_423,refute_14_424]) ).
cnf(refute_14_426,plain,
op2(h12(e12),h12(e11)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e23,h12(e11)),h2(e11)) )],[refute_14_419,refute_14_425]) ).
cnf(refute_14_427,plain,
( h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| op2(h12(e12),h12(e11)) != h2(e11)
| h12(op1(e12,e11)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e12,e11)),h2(e11)) ),[0],$fot(op2(h12(e12),h12(e11)))]]) ).
cnf(refute_14_428,plain,
( h12(op1(e12,e11)) != op2(h12(e12),h12(e11))
| h12(op1(e12,e11)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e12),h12(e11)),h2(e11)) )],[refute_14_426,refute_14_427]) ).
cnf(refute_14_429,plain,
h12(op1(e12,e11)) = h2(e11),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),op2(h12(e12),h12(e11))) )],[refute_14_396,refute_14_428]) ).
cnf(refute_14_430,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_14_115]) ).
cnf(refute_14_431,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_14_432,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_14_433,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_14_431,refute_14_432]) ).
cnf(refute_14_434,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_87,refute_14_433]) ).
cnf(refute_14_435,plain,
( op1(e12,op1(e12,e13)) != op1(e12,e11)
| op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_14_436,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_14_434,refute_14_435]) ).
cnf(refute_14_437,plain,
op1(op1(e12,e12),e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_14_430,refute_14_436]) ).
cnf(refute_14_438,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_14_439,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_14_440,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_14_438,refute_14_439]) ).
cnf(refute_14_441,plain,
op1(op1(e12,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_14_109,refute_14_440]) ).
cnf(refute_14_442,plain,
( op1(op1(e12,e12),e13) != op1(e10,e13)
| op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_14_443,plain,
( op1(op1(e12,e12),e13) != op1(e12,e11)
| op1(e10,e13) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e10,e13)) )],[refute_14_441,refute_14_442]) ).
cnf(refute_14_444,plain,
op1(e10,e13) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,e11)) )],[refute_14_437,refute_14_443]) ).
cnf(refute_14_445,plain,
( op1(e10,e13) != op1(e12,e11)
| op1(e12,e11) = op1(e10,e13) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_14_446,plain,
op1(e12,e11) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e11)) )],[refute_14_444,refute_14_445]) ).
cnf(refute_14_447,plain,
h12(op1(e12,e11)) = h12(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h12(op1(e12,e11)))]]) ).
cnf(refute_14_448,plain,
( h12(op1(e12,e11)) != h12(op1(e12,e11))
| op1(e12,e11) != op1(e10,e13)
| h12(op1(e12,e11)) = h12(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e12,e11))) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_14_449,plain,
( op1(e12,e11) != op1(e10,e13)
| h12(op1(e12,e11)) = h12(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e12,e11))) )],[refute_14_447,refute_14_448]) ).
cnf(refute_14_450,plain,
h12(op1(e12,e11)) = h12(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e10,e13)) )],[refute_14_446,refute_14_449]) ).
cnf(refute_14_451,plain,
( h12(op1(e12,e11)) != h12(op1(e10,e13))
| h12(op1(e12,e11)) != h2(e11)
| h12(op1(e10,e13)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e12,e11)),h2(e11)) ),[0],$fot(h12(op1(e10,e13)))]]) ).
cnf(refute_14_452,plain,
( h12(op1(e12,e11)) != h2(e11)
| h12(op1(e10,e13)) = h2(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h12(op1(e10,e13))) )],[refute_14_450,refute_14_451]) ).
cnf(refute_14_453,plain,
h12(op1(e10,e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h12(op1(e12,e11)),h2(e11)) )],[refute_14_429,refute_14_452]) ).
cnf(refute_14_454,plain,
( h12(op1(e10,e13)) != h2(e11)
| h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_14_455,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) )],[refute_14_453,refute_14_454]) ).
cnf(refute_14_456,plain,
h2(e11) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_14_395,refute_14_455]) ).
cnf(refute_14_457,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_14_116]) ).
cnf(refute_14_458,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_14_117]) ).
cnf(refute_14_459,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_14_460,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_14_461,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_14_459,refute_14_460]) ).
cnf(refute_14_462,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_461]) ).
cnf(refute_14_463,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_14_464,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_14_462,refute_14_463]) ).
cnf(refute_14_465,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_464]) ).
cnf(refute_14_466,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_14_467,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_14_465,refute_14_466]) ).
cnf(refute_14_468,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_14_469,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_14_457,refute_14_468]) ).
cnf(refute_14_470,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_14_471,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_472,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_14_470,refute_14_471]) ).
cnf(refute_14_473,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_472]) ).
cnf(refute_14_474,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_14_475,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_14_473,refute_14_474]) ).
cnf(refute_14_476,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_14_469,refute_14_475]) ).
cnf(refute_14_477,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_14_478,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_14_476,refute_14_477]) ).
cnf(refute_14_479,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_14_467,refute_14_478]) ).
cnf(refute_14_480,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_14_458,refute_14_479]) ).
cnf(refute_14_481,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_14_482,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_14_480,refute_14_481]) ).
cnf(refute_14_483,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_14_484,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_14_482,refute_14_483]) ).
cnf(refute_14_485,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_14_457,refute_14_484]) ).
cnf(refute_14_486,plain,
( h6(e11) != op2(e22,e20)
| op2(e22,e20) = h6(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_14_487,plain,
op2(e22,e20) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_14_485,refute_14_486]) ).
cnf(refute_14_488,plain,
op2(e22,h12(e10)) = op2(e22,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_14_489,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_14_490,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) )],[refute_14_488,refute_14_489]) ).
cnf(refute_14_491,plain,
op2(e22,h12(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_14_116,refute_14_490]) ).
cnf(refute_14_492,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) != op2(e22,e20)
| op2(e22,h12(e10)) = h6(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e22,h12(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_14_493,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,e20)) )],[refute_14_491,refute_14_492]) ).
cnf(refute_14_494,plain,
op2(e22,h12(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_14_487,refute_14_493]) ).
cnf(refute_14_495,plain,
( h2(e11) != op2(e22,h12(e10))
| op2(e22,h12(e10)) != h6(e11)
| h2(e11) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h6(e11)) ),[0],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_14_496,plain,
( h2(e11) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h6(e11)) )],[refute_14_494,refute_14_495]) ).
cnf(refute_14_497,plain,
h2(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h12(e10))) )],[refute_14_456,refute_14_496]) ).
cnf(refute_14_498,plain,
( h2(e11) != h6(e11)
| h6(e11) = h2(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(h6(e11)))]]) ).
cnf(refute_14_499,plain,
h6(e11) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h6(e11)) )],[refute_14_497,refute_14_498]) ).
cnf(refute_14_500,plain,
( h6(e11) != e22
| h6(e11) != h2(e11)
| h2(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_14_501,plain,
( h6(e11) != e22
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_14_499,refute_14_500]) ).
cnf(refute_14_502,plain,
( h2(e11) = e22
| h6(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e22) )],[refute_14_369,refute_14_501]) ).
cnf(refute_14_503,plain,
( h6(e11) != e23
| h6(e11) != h2(e11)
| h2(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),e23) ),[0],$fot(h2(e11))]]) ).
cnf(refute_14_504,plain,
( h6(e11) != e23
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_14_499,refute_14_503]) ).
cnf(refute_14_505,plain,
( h2(e11) = e22
| h2(e11) = e23 ),
inference(resolve,[$cnf( $equal(h6(e11),e23) )],[refute_14_502,refute_14_504]) ).
cnf(refute_14_506,plain,
( h2(e11) != e23
| op2(h2(e11),e22) != e20
| op2(e23,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),e20) ),[0,0],$fot(e23)]]) ).
cnf(refute_14_507,plain,
( op2(h2(e11),e22) != e20
| h2(e11) = e22
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e23) )],[refute_14_505,refute_14_506]) ).
cnf(refute_14_508,plain,
( h2(e11) = e22
| op2(e23,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),e20) )],[refute_14_337,refute_14_507]) ).
cnf(refute_14_509,plain,
( op2(e23,e22) != e20
| op2(e23,e22) != h12(e11)
| h12(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),e20) ),[0],$fot(h12(e11))]]) ).
cnf(refute_14_510,plain,
( op2(e23,e22) != e20
| h12(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_14_409,refute_14_509]) ).
cnf(refute_14_511,plain,
( h12(e11) = e20
| h2(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e20) )],[refute_14_508,refute_14_510]) ).
cnf(refute_14_512,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_14_118]) ).
cnf(refute_14_513,plain,
( h12(e11) != op2(e23,e23)
| op2(e23,e22) != h12(e11)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),h12(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_14_514,plain,
( h12(e11) != op2(e23,e23)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_14_409,refute_14_513]) ).
cnf(refute_14_515,plain,
( h12(e11) != e20
| op2(e23,e23) != e20
| h12(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_14_516,plain,
( h12(e11) != e20
| h12(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_515]) ).
cnf(refute_14_517,plain,
( h12(e11) != e20
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e23)) )],[refute_14_516,refute_14_514]) ).
cnf(refute_14_518,plain,
h12(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_14_517,refute_14_512]) ).
cnf(refute_14_519,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(h12(e11),e20) )],[refute_14_511,refute_14_518]) ).
cnf(refute_14_520,plain,
op2(h2(e11),e23) = op2(h2(e11),e23),
introduced(tautology,[refl,[$fot(op2(h2(e11),e23))]]) ).
cnf(refute_14_521,plain,
( h2(e11) != e22
| op2(h2(e11),e23) != op2(h2(e11),e23)
| op2(h2(e11),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e23),op2(h2(e11),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_14_522,plain,
( h2(e11) != e22
| op2(h2(e11),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),op2(h2(e11),e23)) )],[refute_14_520,refute_14_521]) ).
cnf(refute_14_523,plain,
op2(h2(e11),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_14_519,refute_14_522]) ).
cnf(refute_14_524,plain,
( op2(e22,e23) != e21
| op2(h2(e11),e23) != op2(e22,e23)
| op2(h2(e11),e23) = e21 ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h2(e11),e23))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_14_525,plain,
( op2(e22,e23) != e21
| op2(h2(e11),e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),op2(e22,e23)) )],[refute_14_523,refute_14_524]) ).
cnf(refute_14_526,plain,
op2(h2(e11),e23) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_525]) ).
cnf(refute_14_527,plain,
( op2(h2(e11),e23) != e21
| op2(h2(e11),e23) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e23),h1(e11)) ),[0],$fot(e21)]]) ).
cnf(refute_14_528,plain,
( op2(h2(e11),e23) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),e21) )],[refute_14_526,refute_14_527]) ).
cnf(refute_14_529,plain,
e21 = h1(e11),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),h1(e11)) )],[refute_14_275,refute_14_528]) ).
cnf(refute_14_530,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e21)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_14_531,plain,
h1(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_14_529,refute_14_530]) ).
cnf(refute_14_532,plain,
( h1(e11) != e21
| op2(h5(e11),e22) != h1(e11)
| op2(h5(e11),e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_14_533,plain,
( op2(h5(e11),e22) != h1(e11)
| op2(h5(e11),e22) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_14_531,refute_14_532]) ).
cnf(refute_14_534,plain,
op2(h5(e11),e22) = e21,
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) )],[refute_14_254,refute_14_533]) ).
cnf(refute_14_535,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_14_119]) ).
cnf(refute_14_536,plain,
h1(e10) = op2(e21,e21),
inference(canonicalize,[],[normalize_14_120]) ).
cnf(refute_14_537,plain,
( h1(e10) != op2(e21,e21)
| op2(e21,e21) = h1(e10) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_14_538,plain,
op2(e21,e21) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,e21)) )],[refute_14_536,refute_14_537]) ).
cnf(refute_14_539,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_14_540,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_14_541,plain,
( op2(e21,e21) != h1(e10)
| op2(op2(e21,e21),e23) = op2(h1(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_14_539,refute_14_540]) ).
cnf(refute_14_542,plain,
op2(op2(e21,e21),e23) = op2(h1(e10),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_14_538,refute_14_541]) ).
cnf(refute_14_543,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h1(e10),e23))]]) ).
cnf(refute_14_544,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h1(e10),e23)) )],[refute_14_542,refute_14_543]) ).
cnf(refute_14_545,plain,
op2(e21,op2(e21,e23)) = op2(e21,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e23)))]]) ).
cnf(refute_14_546,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_14_547,plain,
( op2(e21,e23) != h6(e11)
| op2(e21,op2(e21,e23)) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,op2(e21,e23))) )],[refute_14_545,refute_14_546]) ).
cnf(refute_14_548,plain,
op2(e21,op2(e21,e23)) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_14_341,refute_14_547]) ).
cnf(refute_14_549,plain,
( op2(e21,op2(e21,e23)) != op2(e21,h6(e11))
| op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) ),[1],$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_14_550,plain,
( op2(h1(e10),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(e21,h6(e11))) )],[refute_14_548,refute_14_549]) ).
cnf(refute_14_551,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h1(e10),e23) = op2(e21,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,op2(e21,e23))) )],[refute_14_544,refute_14_550]) ).
cnf(refute_14_552,plain,
op2(h1(e10),e23) = op2(e21,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_14_535,refute_14_551]) ).
cnf(refute_14_553,plain,
op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22)),
inference(canonicalize,[],[normalize_14_121]) ).
cnf(refute_14_554,plain,
op2(op2(e21,e20),e22) = op2(op2(e21,e20),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e22))]]) ).
cnf(refute_14_555,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e22) != op2(op2(e21,e20),e22)
| op2(op2(e21,e20),e22) = op2(h4(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e22),op2(op2(e21,e20),e22)) ),[1,0],$fot(h4(e11))]]) ).
cnf(refute_14_556,plain,
( op2(e21,e20) != h4(e11)
| op2(op2(e21,e20),e22) = op2(h4(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(op2(e21,e20),e22)) )],[refute_14_554,refute_14_555]) ).
cnf(refute_14_557,plain,
op2(op2(e21,e20),e22) = op2(h4(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_14_60,refute_14_556]) ).
cnf(refute_14_558,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(op2(e21,e20),e22) != op2(h4(e11),e22)
| op2(h4(e11),e22) = op2(e21,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e22),op2(e21,op2(e20,e22))) ),[0],$fot(op2(h4(e11),e22))]]) ).
cnf(refute_14_559,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(h4(e11),e22)) )],[refute_14_557,refute_14_558]) ).
cnf(refute_14_560,plain,
op2(e21,op2(e20,e22)) = op2(e21,op2(e20,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e22)))]]) ).
cnf(refute_14_561,plain,
( op2(e20,e22) != h2(e11)
| op2(e21,op2(e20,e22)) != op2(e21,op2(e20,e22))
| op2(e21,op2(e20,e22)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,op2(e20,e22))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_14_562,plain,
( op2(e20,e22) != h2(e11)
| op2(e21,op2(e20,e22)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,op2(e20,e22))) )],[refute_14_560,refute_14_561]) ).
cnf(refute_14_563,plain,
op2(e21,op2(e20,e22)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_14_258,refute_14_562]) ).
cnf(refute_14_564,plain,
( op2(e21,op2(e20,e22)) != op2(e21,h2(e11))
| op2(h4(e11),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(e21,op2(e20,e22))) ),[1],$fot(op2(e21,h2(e11)))]]) ).
cnf(refute_14_565,plain,
( op2(h4(e11),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e22)),op2(e21,h2(e11))) )],[refute_14_563,refute_14_564]) ).
cnf(refute_14_566,plain,
( op2(op2(e21,e20),e22) != op2(e21,op2(e20,e22))
| op2(h4(e11),e22) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e21,op2(e20,e22))) )],[refute_14_559,refute_14_565]) ).
cnf(refute_14_567,plain,
op2(h4(e11),e22) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e22),op2(e21,op2(e20,e22))) )],[refute_14_553,refute_14_566]) ).
cnf(refute_14_568,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(canonicalize,[],[normalize_14_122]) ).
cnf(refute_14_569,plain,
op2(op2(e20,e21),e22) = op2(op2(e20,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e21),e22))]]) ).
cnf(refute_14_570,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e22) != op2(op2(e20,e21),e22)
| op2(op2(e20,e21),e22) = op2(h1(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(op2(e20,e21),e22)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_14_571,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e22) = op2(h1(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(op2(e20,e21),e22)) )],[refute_14_569,refute_14_570]) ).
cnf(refute_14_572,plain,
op2(op2(e20,e21),e22) = op2(h1(e11),e22),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_14_147,refute_14_571]) ).
cnf(refute_14_573,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(op2(e20,e21),e22) != op2(h1(e11),e22)
| op2(h1(e11),e22) = op2(e20,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) ),[0],$fot(op2(h1(e11),e22))]]) ).
cnf(refute_14_574,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(h1(e11),e22)) )],[refute_14_572,refute_14_573]) ).
cnf(refute_14_575,plain,
op2(e20,op2(e21,e22)) = op2(e20,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e22)))]]) ).
cnf(refute_14_576,plain,
( op2(e20,op2(e21,e22)) != op2(e20,op2(e21,e22))
| op2(e21,e22) != h5(e11)
| op2(e20,op2(e21,e22)) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) ),[1,1],$fot(h5(e11))]]) ).
cnf(refute_14_577,plain,
( op2(e21,e22) != h5(e11)
| op2(e20,op2(e21,e22)) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) )],[refute_14_575,refute_14_576]) ).
cnf(refute_14_578,plain,
op2(e20,op2(e21,e22)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_14_31,refute_14_577]) ).
cnf(refute_14_579,plain,
( op2(e20,op2(e21,e22)) != op2(e20,h5(e11))
| op2(h1(e11),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(e20,op2(e21,e22))) ),[1],$fot(op2(e20,h5(e11)))]]) ).
cnf(refute_14_580,plain,
( op2(h1(e11),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,h5(e11))) )],[refute_14_578,refute_14_579]) ).
cnf(refute_14_581,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(h1(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,op2(e21,e22))) )],[refute_14_574,refute_14_580]) ).
cnf(refute_14_582,plain,
op2(h1(e11),e22) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) )],[refute_14_568,refute_14_581]) ).
cnf(refute_14_583,plain,
op2(h4(e11),e22) = op2(h4(e11),e22),
introduced(tautology,[refl,[$fot(op2(h4(e11),e22))]]) ).
cnf(refute_14_584,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e22) != op2(h4(e11),e22)
| op2(h4(e11),e22) = op2(h1(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(h4(e11),e22)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_14_585,plain,
( h4(e11) != h1(e11)
| op2(h4(e11),e22) = op2(h1(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(h4(e11),e22)) )],[refute_14_583,refute_14_584]) ).
cnf(refute_14_586,plain,
op2(h4(e11),e22) = op2(h1(e11),e22),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_14_251,refute_14_585]) ).
cnf(refute_14_587,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) != op2(h1(e11),e22)
| op2(h4(e11),e22) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h4(e11),e22))),bind(Y,$fot(op2(h1(e11),e22))),bind(Z,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_14_588,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(h1(e11),e22)) )],[refute_14_586,refute_14_587]) ).
cnf(refute_14_589,plain,
op2(h4(e11),e22) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) )],[refute_14_582,refute_14_588]) ).
cnf(refute_14_590,plain,
( op2(h4(e11),e22) != op2(e20,h5(e11))
| op2(h4(e11),e22) != op2(e21,h2(e11))
| op2(e20,h5(e11)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),e22),op2(e21,h2(e11))) ),[0],$fot(op2(e20,h5(e11)))]]) ).
cnf(refute_14_591,plain,
( op2(h4(e11),e22) != op2(e21,h2(e11))
| op2(e20,h5(e11)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e20,h5(e11))) )],[refute_14_589,refute_14_590]) ).
cnf(refute_14_592,plain,
op2(e20,h5(e11)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(op2(h4(e11),e22),op2(e21,h2(e11))) )],[refute_14_567,refute_14_591]) ).
cnf(refute_14_593,plain,
( op2(e20,h5(e11)) != op2(e21,h2(e11))
| op2(e21,h2(e11)) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(op2(e20,h5(e11)))),bind(Y,$fot(op2(e21,h2(e11))))]]) ).
cnf(refute_14_594,plain,
op2(e21,h2(e11)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e20,h5(e11)),op2(e21,h2(e11))) )],[refute_14_592,refute_14_593]) ).
cnf(refute_14_595,plain,
op2(e21,h6(e11)) = op2(e21,h6(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h6(e11)))]]) ).
cnf(refute_14_596,plain,
( h6(e11) != h2(e11)
| op2(e21,h6(e11)) != op2(e21,h6(e11))
| op2(e21,h6(e11)) = op2(e21,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_14_597,plain,
( h6(e11) != h2(e11)
| op2(e21,h6(e11)) = op2(e21,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h6(e11))) )],[refute_14_595,refute_14_596]) ).
cnf(refute_14_598,plain,
op2(e21,h6(e11)) = op2(e21,h2(e11)),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_14_499,refute_14_597]) ).
cnf(refute_14_599,plain,
( op2(e21,h2(e11)) != op2(e20,h5(e11))
| op2(e21,h6(e11)) != op2(e21,h2(e11))
| op2(e21,h6(e11)) = op2(e20,h5(e11)) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(e21,h6(e11)))),bind(Y,$fot(op2(e21,h2(e11)))),bind(Z,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_14_600,plain,
( op2(e21,h2(e11)) != op2(e20,h5(e11))
| op2(e21,h6(e11)) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e21,h2(e11))) )],[refute_14_598,refute_14_599]) ).
cnf(refute_14_601,plain,
op2(e21,h6(e11)) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(e21,h2(e11)),op2(e20,h5(e11))) )],[refute_14_594,refute_14_600]) ).
cnf(refute_14_602,plain,
( op2(e21,h6(e11)) != op2(e20,h5(e11))
| op2(h1(e10),e23) != op2(e21,h6(e11))
| op2(h1(e10),e23) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) ),[1],$fot(op2(e20,h5(e11)))]]) ).
cnf(refute_14_603,plain,
( op2(h1(e10),e23) != op2(e21,h6(e11))
| op2(h1(e10),e23) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,h6(e11)),op2(e20,h5(e11))) )],[refute_14_601,refute_14_602]) ).
cnf(refute_14_604,plain,
op2(h1(e10),e23) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e21,h6(e11))) )],[refute_14_552,refute_14_603]) ).
cnf(refute_14_605,plain,
op2(h1(e11),e22) = op2(h1(e11),e22),
introduced(tautology,[refl,[$fot(op2(h1(e11),e22))]]) ).
cnf(refute_14_606,plain,
( h1(e11) != e21
| op2(h1(e11),e22) != op2(h1(e11),e22)
| op2(h1(e11),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(h1(e11),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_14_607,plain,
( h1(e11) != e21
| op2(h1(e11),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(h1(e11),e22)) )],[refute_14_605,refute_14_606]) ).
cnf(refute_14_608,plain,
op2(h1(e11),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_14_531,refute_14_607]) ).
cnf(refute_14_609,plain,
( op2(e21,e22) != h5(e11)
| op2(h1(e11),e22) != op2(e21,e22)
| op2(h1(e11),e22) = h5(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h1(e11),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_14_610,plain,
( op2(e21,e22) != h5(e11)
| op2(h1(e11),e22) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e21,e22)) )],[refute_14_608,refute_14_609]) ).
cnf(refute_14_611,plain,
op2(h1(e11),e22) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_14_31,refute_14_610]) ).
cnf(refute_14_612,plain,
( op2(h1(e11),e22) != h5(e11)
| op2(h1(e11),e22) != op2(e20,h5(e11))
| h5(e11) = op2(e20,h5(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) ),[0],$fot(h5(e11))]]) ).
cnf(refute_14_613,plain,
( op2(h1(e11),e22) != op2(e20,h5(e11))
| h5(e11) = op2(e20,h5(e11)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),h5(e11)) )],[refute_14_611,refute_14_612]) ).
cnf(refute_14_614,plain,
h5(e11) = op2(e20,h5(e11)),
inference(resolve,[$cnf( $equal(op2(h1(e11),e22),op2(e20,h5(e11))) )],[refute_14_582,refute_14_613]) ).
cnf(refute_14_615,plain,
( h5(e11) != op2(e20,h5(e11))
| op2(e20,h5(e11)) = h5(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e20,h5(e11))))]]) ).
cnf(refute_14_616,plain,
op2(e20,h5(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e20,h5(e11))) )],[refute_14_614,refute_14_615]) ).
cnf(refute_14_617,plain,
( op2(e20,h5(e11)) != h5(e11)
| op2(h1(e10),e23) != op2(e20,h5(e11))
| op2(h1(e10),e23) = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(e20,h5(e11))) ),[1],$fot(h5(e11))]]) ).
cnf(refute_14_618,plain,
( op2(h1(e10),e23) != op2(e20,h5(e11))
| op2(h1(e10),e23) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h5(e11)),h5(e11)) )],[refute_14_616,refute_14_617]) ).
cnf(refute_14_619,plain,
op2(h1(e10),e23) = h5(e11),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e20,h5(e11))) )],[refute_14_604,refute_14_618]) ).
cnf(refute_14_620,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(canonicalize,[],[normalize_14_123]) ).
cnf(refute_14_621,plain,
op2(op2(e23,e20),e20) = op2(op2(e23,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e23,e20),e20))]]) ).
cnf(refute_14_622,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e20) != op2(op2(e23,e20),e20)
| op2(op2(e23,e20),e20) = op2(h10(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_14_623,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e20) = op2(h10(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) )],[refute_14_621,refute_14_622]) ).
cnf(refute_14_624,plain,
op2(op2(e23,e20),e20) = op2(h10(e11),e20),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_14_170,refute_14_623]) ).
cnf(refute_14_625,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(op2(e23,e20),e20) != op2(h10(e11),e20)
| op2(h10(e11),e20) = op2(e23,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) ),[0],$fot(op2(h10(e11),e20))]]) ).
cnf(refute_14_626,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(h10(e11),e20)) )],[refute_14_624,refute_14_625]) ).
cnf(refute_14_627,plain,
op2(e23,op2(e20,e20)) = op2(e23,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e20,e20)))]]) ).
cnf(refute_14_628,plain,
( op2(e20,e20) != h10(e10)
| op2(e23,op2(e20,e20)) != op2(e23,op2(e20,e20))
| op2(e23,op2(e20,e20)) = op2(e23,h10(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) ),[1,1],$fot(h10(e10))]]) ).
cnf(refute_14_629,plain,
( op2(e20,e20) != h10(e10)
| op2(e23,op2(e20,e20)) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) )],[refute_14_627,refute_14_628]) ).
cnf(refute_14_630,plain,
op2(e23,op2(e20,e20)) = op2(e23,h10(e10)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_14_293,refute_14_629]) ).
cnf(refute_14_631,plain,
( op2(e23,op2(e20,e20)) != op2(e23,h10(e10))
| op2(h10(e11),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,h10(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e20),op2(e23,op2(e20,e20))) ),[1],$fot(op2(e23,h10(e10)))]]) ).
cnf(refute_14_632,plain,
( op2(h10(e11),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,h10(e10))) )],[refute_14_630,refute_14_631]) ).
cnf(refute_14_633,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(h10(e11),e20) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e23,op2(e20,e20))) )],[refute_14_626,refute_14_632]) ).
cnf(refute_14_634,plain,
op2(h10(e11),e20) = op2(e23,h10(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) )],[refute_14_620,refute_14_633]) ).
cnf(refute_14_635,plain,
op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20)),
inference(canonicalize,[],[normalize_14_124]) ).
cnf(refute_14_636,plain,
op2(op2(e20,e23),e20) = op2(op2(e20,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e20))]]) ).
cnf(refute_14_637,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e20) != op2(op2(e20,e23),e20)
| op2(op2(e20,e23),e20) = op2(h3(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e20),op2(op2(e20,e23),e20)) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_14_638,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e20) = op2(h3(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e20),op2(op2(e20,e23),e20)) )],[refute_14_636,refute_14_637]) ).
cnf(refute_14_639,plain,
op2(op2(e20,e23),e20) = op2(h3(e11),e20),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_638]) ).
cnf(refute_14_640,plain,
( op2(op2(e20,e23),e20) != op2(e20,op2(e23,e20))
| op2(op2(e20,e23),e20) != op2(h3(e11),e20)
| op2(h3(e11),e20) = op2(e20,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e20),op2(e20,op2(e23,e20))) ),[0],$fot(op2(h3(e11),e20))]]) ).
cnf(refute_14_641,plain,
( op2(op2(e20,e23),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e20),op2(h3(e11),e20)) )],[refute_14_639,refute_14_640]) ).
cnf(refute_14_642,plain,
op2(e20,op2(e23,e20)) = op2(e20,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e20)))]]) ).
cnf(refute_14_643,plain,
( op2(e20,op2(e23,e20)) != op2(e20,op2(e23,e20))
| op2(e23,e20) != h10(e11)
| op2(e20,op2(e23,e20)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,op2(e23,e20))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_14_644,plain,
( op2(e23,e20) != h10(e11)
| op2(e20,op2(e23,e20)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,op2(e23,e20))) )],[refute_14_642,refute_14_643]) ).
cnf(refute_14_645,plain,
op2(e20,op2(e23,e20)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_14_170,refute_14_644]) ).
cnf(refute_14_646,plain,
( op2(e20,op2(e23,e20)) != op2(e20,h10(e11))
| op2(h3(e11),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e20),op2(e20,op2(e23,e20))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_14_647,plain,
( op2(h3(e11),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e20)),op2(e20,h10(e11))) )],[refute_14_645,refute_14_646]) ).
cnf(refute_14_648,plain,
( op2(op2(e20,e23),e20) != op2(e20,op2(e23,e20))
| op2(h3(e11),e20) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(e20,op2(e23,e20))) )],[refute_14_641,refute_14_647]) ).
cnf(refute_14_649,plain,
op2(h3(e11),e20) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e20),op2(e20,op2(e23,e20))) )],[refute_14_635,refute_14_648]) ).
cnf(refute_14_650,plain,
op2(h3(e11),e20) = op2(h3(e11),e20),
introduced(tautology,[refl,[$fot(op2(h3(e11),e20))]]) ).
cnf(refute_14_651,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e20) != op2(h3(e11),e20)
| op2(h3(e11),e20) = op2(h10(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e20),op2(h3(e11),e20)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_14_652,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e20) = op2(h10(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(h3(e11),e20)) )],[refute_14_650,refute_14_651]) ).
cnf(refute_14_653,plain,
op2(h3(e11),e20) = op2(h10(e11),e20),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_14_222,refute_14_652]) ).
cnf(refute_14_654,plain,
( op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h3(e11),e20) != op2(h10(e11),e20)
| op2(h3(e11),e20) = op2(e23,h10(e10)) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h3(e11),e20))),bind(Y,$fot(op2(h10(e11),e20))),bind(Z,$fot(op2(e23,h10(e10))))]]) ).
cnf(refute_14_655,plain,
( op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h3(e11),e20) = op2(e23,h10(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(h10(e11),e20)) )],[refute_14_653,refute_14_654]) ).
cnf(refute_14_656,plain,
op2(h3(e11),e20) = op2(e23,h10(e10)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e23,h10(e10))) )],[refute_14_634,refute_14_655]) ).
cnf(refute_14_657,plain,
( op2(h3(e11),e20) != op2(e20,h10(e11))
| op2(h3(e11),e20) != op2(e23,h10(e10))
| op2(e23,h10(e10)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e20),op2(e20,h10(e11))) ),[0],$fot(op2(e23,h10(e10)))]]) ).
cnf(refute_14_658,plain,
( op2(h3(e11),e20) != op2(e20,h10(e11))
| op2(e23,h10(e10)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(e23,h10(e10))) )],[refute_14_656,refute_14_657]) ).
cnf(refute_14_659,plain,
op2(e23,h10(e10)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),e20),op2(e20,h10(e11))) )],[refute_14_649,refute_14_658]) ).
cnf(refute_14_660,plain,
( op2(e23,h10(e10)) != op2(e20,h10(e11))
| op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h10(e11),e20) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e20),op2(e23,h10(e10))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_14_661,plain,
( op2(h10(e11),e20) != op2(e23,h10(e10))
| op2(h10(e11),e20) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h10(e10)),op2(e20,h10(e11))) )],[refute_14_659,refute_14_660]) ).
cnf(refute_14_662,plain,
op2(h10(e11),e20) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e23,h10(e10))) )],[refute_14_634,refute_14_661]) ).
cnf(refute_14_663,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_14_125]) ).
cnf(refute_14_664,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_14_665,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h10(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h10(e10))]]) ).
cnf(refute_14_666,plain,
( op2(e20,e20) != h10(e10)
| op2(op2(e20,e20),e23) = op2(h10(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_14_664,refute_14_665]) ).
cnf(refute_14_667,plain,
op2(op2(e20,e20),e23) = op2(h10(e10),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h10(e10)) )],[refute_14_293,refute_14_666]) ).
cnf(refute_14_668,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h10(e10),e23)
| op2(h10(e10),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h10(e10),e23))]]) ).
cnf(refute_14_669,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h10(e10),e23)) )],[refute_14_667,refute_14_668]) ).
cnf(refute_14_670,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_14_671,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h3(e11))]]) ).
cnf(refute_14_672,plain,
( op2(e20,e23) != h3(e11)
| op2(e20,op2(e20,e23)) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_14_670,refute_14_671]) ).
cnf(refute_14_673,plain,
op2(e20,op2(e20,e23)) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_672]) ).
cnf(refute_14_674,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h3(e11))
| op2(h10(e10),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_14_675,plain,
( op2(h10(e10),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h3(e11))) )],[refute_14_673,refute_14_674]) ).
cnf(refute_14_676,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h10(e10),e23) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,op2(e20,e23))) )],[refute_14_669,refute_14_675]) ).
cnf(refute_14_677,plain,
op2(h10(e10),e23) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_14_663,refute_14_676]) ).
cnf(refute_14_678,plain,
op2(e20,h3(e11)) = op2(e20,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_14_679,plain,
( h3(e11) != h10(e11)
| op2(e20,h3(e11)) != op2(e20,h3(e11))
| op2(e20,h3(e11)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_14_680,plain,
( h3(e11) != h10(e11)
| op2(e20,h3(e11)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) )],[refute_14_678,refute_14_679]) ).
cnf(refute_14_681,plain,
op2(e20,h3(e11)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_14_222,refute_14_680]) ).
cnf(refute_14_682,plain,
( op2(e20,h3(e11)) != op2(e20,h10(e11))
| op2(h10(e10),e23) != op2(e20,h3(e11))
| op2(h10(e10),e23) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h3(e11))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_14_683,plain,
( op2(h10(e10),e23) != op2(e20,h3(e11))
| op2(h10(e10),e23) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h10(e11))) )],[refute_14_681,refute_14_682]) ).
cnf(refute_14_684,plain,
op2(h10(e10),e23) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h3(e11))) )],[refute_14_677,refute_14_683]) ).
cnf(refute_14_685,plain,
op2(h10(e10),e23) = op2(h10(e10),e23),
introduced(tautology,[refl,[$fot(op2(h10(e10),e23))]]) ).
cnf(refute_14_686,plain,
( h10(e10) != e20
| op2(h10(e10),e23) != op2(h10(e10),e23)
| op2(h10(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(h10(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_687,plain,
( h10(e10) != e20
| op2(h10(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(h10(e10),e23)) )],[refute_14_685,refute_14_686]) ).
cnf(refute_14_688,plain,
op2(h10(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h10(e10),e20) )],[refute_14_334,refute_14_687]) ).
cnf(refute_14_689,plain,
( op2(e20,e23) != h10(e11)
| op2(h10(e10),e23) != op2(e20,e23)
| op2(h10(e10),e23) = h10(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h10(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_14_690,plain,
( op2(e20,e23) != h10(e11)
| op2(h10(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,e23)) )],[refute_14_688,refute_14_689]) ).
cnf(refute_14_691,plain,
op2(h10(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_14_227,refute_14_690]) ).
cnf(refute_14_692,plain,
( op2(h10(e10),e23) != h10(e11)
| op2(h10(e10),e23) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h10(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_14_693,plain,
( op2(h10(e10),e23) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),h10(e11)) )],[refute_14_691,refute_14_692]) ).
cnf(refute_14_694,plain,
h10(e11) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e10),e23),op2(e20,h10(e11))) )],[refute_14_684,refute_14_693]) ).
cnf(refute_14_695,plain,
( h10(e11) != op2(e20,h10(e11))
| op2(e20,h10(e11)) = h10(e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,h10(e11))))]]) ).
cnf(refute_14_696,plain,
op2(e20,h10(e11)) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,h10(e11))) )],[refute_14_694,refute_14_695]) ).
cnf(refute_14_697,plain,
( op2(e20,h10(e11)) != h10(e11)
| op2(h10(e11),e20) != op2(e20,h10(e11))
| op2(h10(e11),e20) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e20),op2(e20,h10(e11))) ),[1],$fot(h10(e11))]]) ).
cnf(refute_14_698,plain,
( op2(h10(e11),e20) != op2(e20,h10(e11))
| op2(h10(e11),e20) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h10(e11)),h10(e11)) )],[refute_14_696,refute_14_697]) ).
cnf(refute_14_699,plain,
op2(h10(e11),e20) = h10(e11),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),op2(e20,h10(e11))) )],[refute_14_662,refute_14_698]) ).
cnf(refute_14_700,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_14_126]) ).
cnf(refute_14_701,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h3(e11)
| h3(e11) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h3(e11))]]) ).
cnf(refute_14_702,plain,
( op2(e20,e23) != e20
| h3(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_701]) ).
cnf(refute_14_703,plain,
( h3(e11) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_14_700,refute_14_702]) ).
cnf(refute_14_704,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != h3(e11)
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(h3(e11))]]) ).
cnf(refute_14_705,plain,
( op2(e20,e23) != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_704]) ).
cnf(refute_14_706,plain,
( h3(e11) = e20
| h3(e11) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_14_703,refute_14_705]) ).
cnf(refute_14_707,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h3(e11)
| h3(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h3(e11))]]) ).
cnf(refute_14_708,plain,
( op2(e20,e23) != e22
| h3(e11) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_707]) ).
cnf(refute_14_709,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_14_706,refute_14_708]) ).
cnf(refute_14_710,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h3(e11)
| h3(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h3(e11))]]) ).
cnf(refute_14_711,plain,
( op2(e20,e23) != e23
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_710]) ).
cnf(refute_14_712,plain,
( h3(e11) = e20
| h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_14_709,refute_14_711]) ).
cnf(refute_14_713,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_14_127]) ).
cnf(refute_14_714,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_14_715,plain,
( h3(e11) != op2(e23,e23)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_714]) ).
cnf(refute_14_716,plain,
( h3(e11) != e20
| op2(e23,e23) != e20
| h3(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_14_717,plain,
( h3(e11) != e20
| h3(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_14_64,refute_14_716]) ).
cnf(refute_14_718,plain,
( h3(e11) != e20
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,e23)) )],[refute_14_717,refute_14_715]) ).
cnf(refute_14_719,plain,
h3(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_14_718,refute_14_713]) ).
cnf(refute_14_720,plain,
( h3(e11) = e21
| h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e20) )],[refute_14_712,refute_14_719]) ).
cnf(refute_14_721,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_14_128]) ).
cnf(refute_14_722,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) != h3(e11)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h3(e11)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_14_723,plain,
( h3(e11) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_722]) ).
cnf(refute_14_724,plain,
( h3(e11) != e21
| op2(e22,e23) != e21
| h3(e11) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_14_725,plain,
( h3(e11) != e21
| h3(e11) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_14_6,refute_14_724]) ).
cnf(refute_14_726,plain,
( h3(e11) != e21
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,e23)) )],[refute_14_725,refute_14_723]) ).
cnf(refute_14_727,plain,
h3(e11) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_14_726,refute_14_721]) ).
cnf(refute_14_728,plain,
( h3(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_14_720,refute_14_727]) ).
cnf(refute_14_729,plain,
( h3(e11) != e22
| h3(e11) != h10(e11)
| h10(e11) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e22) ),[0],$fot(h10(e11))]]) ).
cnf(refute_14_730,plain,
( h3(e11) != e22
| h10(e11) = e22 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_14_222,refute_14_729]) ).
cnf(refute_14_731,plain,
( h10(e11) = e22
| h3(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e22) )],[refute_14_728,refute_14_730]) ).
cnf(refute_14_732,plain,
( h3(e11) != e23
| h3(e11) != h10(e11)
| h10(e11) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e23) ),[0],$fot(h10(e11))]]) ).
cnf(refute_14_733,plain,
( h3(e11) != e23
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_14_222,refute_14_732]) ).
cnf(refute_14_734,plain,
( h10(e11) = e22
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(h3(e11),e23) )],[refute_14_731,refute_14_733]) ).
cnf(refute_14_735,plain,
( h10(e11) != e22
| op2(h10(e11),e20) != h10(e11)
| op2(e22,e20) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e20),h10(e11)) ),[0,0],$fot(e22)]]) ).
cnf(refute_14_736,plain,
( op2(h10(e11),e20) != h10(e11)
| h10(e11) = e23
| op2(e22,e20) = h10(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),e22) )],[refute_14_734,refute_14_735]) ).
cnf(refute_14_737,plain,
( h10(e11) = e23
| op2(e22,e20) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e20),h10(e11)) )],[refute_14_699,refute_14_736]) ).
cnf(refute_14_738,plain,
( h6(e11) != h2(e11)
| h6(e11) != op2(e22,e20)
| h2(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h6(e11),op2(e22,e20)) ),[0],$fot(h2(e11))]]) ).
cnf(refute_14_739,plain,
( h6(e11) != op2(e22,e20)
| h2(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_14_499,refute_14_738]) ).
cnf(refute_14_740,plain,
h2(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_14_485,refute_14_739]) ).
cnf(refute_14_741,plain,
( h2(e11) != e22
| h2(e11) != op2(e22,e20)
| e22 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e22,e20)) ),[0],$fot(e22)]]) ).
cnf(refute_14_742,plain,
( h2(e11) != op2(e22,e20)
| e22 = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_14_519,refute_14_741]) ).
cnf(refute_14_743,plain,
e22 = op2(e22,e20),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e20)) )],[refute_14_740,refute_14_742]) ).
cnf(refute_14_744,plain,
( e22 != op2(e22,e20)
| op2(e22,e20) = e22 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_14_745,plain,
op2(e22,e20) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e22,e20)) )],[refute_14_743,refute_14_744]) ).
cnf(refute_14_746,plain,
( op2(e22,e20) != e22
| op2(e22,e20) != h10(e11)
| e22 = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),h10(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_14_747,plain,
( op2(e22,e20) != h10(e11)
| e22 = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_14_745,refute_14_746]) ).
cnf(refute_14_748,plain,
( e22 = h10(e11)
| h10(e11) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),h10(e11)) )],[refute_14_737,refute_14_747]) ).
cnf(refute_14_749,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_14_129]) ).
cnf(refute_14_750,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) != h2(e11)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),h2(e11)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_14_751,plain,
( h2(e11) != op2(e20,e23)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_14_258,refute_14_750]) ).
cnf(refute_14_752,plain,
( h2(e11) != h3(e11)
| op2(e20,e23) != h3(e11)
| h2(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e23)) ),[1],$fot(h3(e11))]]) ).
cnf(refute_14_753,plain,
( h2(e11) != h3(e11)
| h2(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_14_202,refute_14_752]) ).
cnf(refute_14_754,plain,
( h2(e11) != h3(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e23)) )],[refute_14_753,refute_14_751]) ).
cnf(refute_14_755,plain,
h2(e11) != h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_14_754,refute_14_749]) ).
cnf(refute_14_756,plain,
( h2(e11) != h10(e11)
| h3(e11) != h10(e11)
| h2(e11) = h3(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h3(e11)) ),[1],$fot(h10(e11))]]) ).
cnf(refute_14_757,plain,
( h2(e11) != h10(e11)
| h2(e11) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_14_222,refute_14_756]) ).
cnf(refute_14_758,plain,
h2(e11) != h10(e11),
inference(resolve,[$cnf( $equal(h2(e11),h3(e11)) )],[refute_14_757,refute_14_755]) ).
cnf(refute_14_759,plain,
( e22 != h10(e11)
| h2(e11) != e22
| h2(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),e22) ),[1],$fot(h10(e11))]]) ).
cnf(refute_14_760,plain,
( e22 != h10(e11)
| h2(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_14_519,refute_14_759]) ).
cnf(refute_14_761,plain,
e22 != h10(e11),
inference(resolve,[$cnf( $equal(h2(e11),h10(e11)) )],[refute_14_760,refute_14_758]) ).
cnf(refute_14_762,plain,
h10(e11) = e23,
inference(resolve,[$cnf( $equal(e22,h10(e11)) )],[refute_14_748,refute_14_761]) ).
cnf(refute_14_763,plain,
( h10(e11) != e23
| h10(e11) != op2(e20,e23)
| e23 = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h10(e11),op2(e20,e23)) ),[0],$fot(e23)]]) ).
cnf(refute_14_764,plain,
( h10(e11) != op2(e20,e23)
| e23 = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h10(e11),e23) )],[refute_14_762,refute_14_763]) ).
cnf(refute_14_765,plain,
e23 = op2(e20,e23),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_14_225,refute_14_764]) ).
cnf(refute_14_766,plain,
( e23 != op2(e20,e23)
| op2(e20,e23) = e23 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_767,plain,
op2(e20,e23) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e23)) )],[refute_14_765,refute_14_766]) ).
cnf(refute_14_768,plain,
( op2(e21,e21) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_14_130]) ).
cnf(refute_14_769,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h1(e10)
| h1(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h1(e10))]]) ).
cnf(refute_14_770,plain,
( op2(e21,e21) != e20
| h1(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h1(e10)) )],[refute_14_538,refute_14_769]) ).
cnf(refute_14_771,plain,
( h1(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_14_768,refute_14_770]) ).
cnf(refute_14_772,plain,
h1(e10) = e20,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_14_771,refute_14_333]) ).
cnf(refute_14_773,plain,
op2(h1(e10),e23) = op2(h1(e10),e23),
introduced(tautology,[refl,[$fot(op2(h1(e10),e23))]]) ).
cnf(refute_14_774,plain,
( h1(e10) != e20
| op2(h1(e10),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_775,plain,
( h1(e10) != e20
| op2(h1(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) )],[refute_14_773,refute_14_774]) ).
cnf(refute_14_776,plain,
op2(h1(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_14_772,refute_14_775]) ).
cnf(refute_14_777,plain,
( op2(e20,e23) != e23
| op2(h1(e10),e23) != op2(e20,e23)
| op2(h1(e10),e23) = e23 ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h1(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e23))]]) ).
cnf(refute_14_778,plain,
( op2(e20,e23) != e23
| op2(h1(e10),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e20,e23)) )],[refute_14_776,refute_14_777]) ).
cnf(refute_14_779,plain,
op2(h1(e10),e23) = e23,
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_14_767,refute_14_778]) ).
cnf(refute_14_780,plain,
( op2(h1(e10),e23) != e23
| op2(h1(e10),e23) != h5(e11)
| e23 = h5(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),h5(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_14_781,plain,
( op2(h1(e10),e23) != h5(e11)
| e23 = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),e23) )],[refute_14_779,refute_14_780]) ).
cnf(refute_14_782,plain,
e23 = h5(e11),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),h5(e11)) )],[refute_14_619,refute_14_781]) ).
cnf(refute_14_783,plain,
( e23 != h5(e11)
| h5(e11) = e23 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e23)),bind(Y,$fot(h5(e11)))]]) ).
cnf(refute_14_784,plain,
h5(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h5(e11)) )],[refute_14_782,refute_14_783]) ).
cnf(refute_14_785,plain,
op2(h5(e11),e22) = op2(h5(e11),e22),
introduced(tautology,[refl,[$fot(op2(h5(e11),e22))]]) ).
cnf(refute_14_786,plain,
( h5(e11) != e23
| op2(h5(e11),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_787,plain,
( h5(e11) != e23
| op2(h5(e11),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) )],[refute_14_785,refute_14_786]) ).
cnf(refute_14_788,plain,
op2(h5(e11),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h5(e11),e23) )],[refute_14_784,refute_14_787]) ).
cnf(refute_14_789,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) != op2(e23,e22)
| op2(h5(e11),e22) = h12(e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op2(h5(e11),e22))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_14_790,plain,
( op2(e23,e22) != h12(e11)
| op2(h5(e11),e22) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e23,e22)) )],[refute_14_788,refute_14_789]) ).
cnf(refute_14_791,plain,
op2(h5(e11),e22) = h12(e11),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_14_409,refute_14_790]) ).
cnf(refute_14_792,plain,
( op2(h5(e11),e22) != e21
| op2(h5(e11),e22) != h12(e11)
| h12(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),e21) ),[0],$fot(h12(e11))]]) ).
cnf(refute_14_793,plain,
( op2(h5(e11),e22) != e21
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h12(e11)) )],[refute_14_791,refute_14_792]) ).
cnf(refute_14_794,plain,
h12(e11) = e21,
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),e21) )],[refute_14_534,refute_14_793]) ).
cnf(refute_14_795,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_14_131]) ).
cnf(refute_14_796,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_14_797,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e10
| op1(e11,op1(e12,e12)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_14_798,plain,
( op1(e12,e12) != e10
| op1(e11,op1(e12,e12)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_14_796,refute_14_797]) ).
cnf(refute_14_799,plain,
op1(e11,op1(e12,e12)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_14_109,refute_14_798]) ).
cnf(refute_14_800,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e10)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_14_801,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e10)) )],[refute_14_799,refute_14_800]) ).
cnf(refute_14_802,plain,
op1(op1(e11,e12),e12) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_14_795,refute_14_801]) ).
cnf(refute_14_803,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_14_132]) ).
cnf(refute_14_804,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_14_805,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_14_806,plain,
( op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_14_804,refute_14_805]) ).
cnf(refute_14_807,plain,
op1(e11,op1(e13,e13)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_95,refute_14_806]) ).
cnf(refute_14_808,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e10)
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_14_809,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e10)) )],[refute_14_807,refute_14_808]) ).
cnf(refute_14_810,plain,
op1(op1(e11,e13),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_14_803,refute_14_809]) ).
cnf(refute_14_811,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(canonicalize,[],[normalize_14_133]) ).
cnf(refute_14_812,plain,
op1(e10,op1(e12,e13)) = op1(e10,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e13)))]]) ).
cnf(refute_14_813,plain,
( op1(e10,op1(e12,e13)) != op1(e10,op1(e12,e13))
| op1(e12,e13) != e11
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,op1(e12,e13))) ),[1,1],$fot(e11)]]) ).
cnf(refute_14_814,plain,
( op1(e12,e13) != e11
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,op1(e12,e13))) )],[refute_14_812,refute_14_813]) ).
cnf(refute_14_815,plain,
op1(e10,op1(e12,e13)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_87,refute_14_814]) ).
cnf(refute_14_816,plain,
( op1(e10,op1(e12,e13)) != op1(e10,e11)
| op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_14_817,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) )],[refute_14_815,refute_14_816]) ).
cnf(refute_14_818,plain,
op1(op1(e10,e12),e13) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_14_811,refute_14_817]) ).
cnf(refute_14_819,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_14_134]) ).
cnf(refute_14_820,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_14_821,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_14_822,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_14_820,refute_14_821]) ).
cnf(refute_14_823,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_14_109,refute_14_822]) ).
cnf(refute_14_824,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_14_825,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_14_823,refute_14_824]) ).
cnf(refute_14_826,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_14_135]) ).
cnf(refute_14_827,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_14_828,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_14_829,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_14_827,refute_14_828]) ).
cnf(refute_14_830,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_87,refute_14_829]) ).
cnf(refute_14_831,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_14_832,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_14_830,refute_14_831]) ).
cnf(refute_14_833,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_14_834,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_14_835,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_14_833,refute_14_834]) ).
cnf(refute_14_836,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_95,refute_14_835]) ).
cnf(refute_14_837,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_14_838,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_14_836,refute_14_837]) ).
cnf(refute_14_839,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_14_832,refute_14_838]) ).
cnf(refute_14_840,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_14_826,refute_14_839]) ).
cnf(refute_14_841,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_14_842,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_14_840,refute_14_841]) ).
cnf(refute_14_843,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_14_844,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_14_845,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_14_843,refute_14_844]) ).
cnf(refute_14_846,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_14_109,refute_14_845]) ).
cnf(refute_14_847,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_14_848,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_14_846,refute_14_847]) ).
cnf(refute_14_849,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_14_842,refute_14_848]) ).
cnf(refute_14_850,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_14_851,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_14_849,refute_14_850]) ).
cnf(refute_14_852,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_14_825,refute_14_851]) ).
cnf(refute_14_853,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_14_819,refute_14_852]) ).
cnf(refute_14_854,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_14_855,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_14_853,refute_14_854]) ).
cnf(refute_14_856,plain,
op1(op1(e11,e13),e13) = op1(op1(e11,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),e13))]]) ).
cnf(refute_14_857,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e13) != op1(op1(e11,e13),e13)
| op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e11,e13),e13)) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_14_858,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e11,e13),e13)) )],[refute_14_856,refute_14_857]) ).
cnf(refute_14_859,plain,
op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_14_855,refute_14_858]) ).
cnf(refute_14_860,plain,
( op1(op1(e10,e12),e13) != op1(e10,e11)
| op1(op1(e11,e13),e13) != op1(op1(e10,e12),e13)
| op1(op1(e11,e13),e13) = op1(e10,e11) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op1(op1(e11,e13),e13))),bind(Y,$fot(op1(op1(e10,e12),e13))),bind(Z,$fot(op1(e10,e11)))]]) ).
cnf(refute_14_861,plain,
( op1(op1(e10,e12),e13) != op1(e10,e11)
| op1(op1(e11,e13),e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e10,e12),e13)) )],[refute_14_859,refute_14_860]) ).
cnf(refute_14_862,plain,
op1(op1(e11,e13),e13) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) )],[refute_14_818,refute_14_861]) ).
cnf(refute_14_863,plain,
( op1(op1(e11,e13),e13) != op1(e10,e11)
| op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_14_864,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e10,e11)) )],[refute_14_862,refute_14_863]) ).
cnf(refute_14_865,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_14_810,refute_14_864]) ).
cnf(refute_14_866,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_14_867,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_14_865,refute_14_866]) ).
cnf(refute_14_868,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e12),e12) != op1(e11,e10)
| op1(op1(e11,e12),e12) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e10)) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_14_869,plain,
( op1(op1(e11,e12),e12) != op1(e11,e10)
| op1(op1(e11,e12),e12) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_14_867,refute_14_868]) ).
cnf(refute_14_870,plain,
op1(op1(e11,e12),e12) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e10)) )],[refute_14_802,refute_14_869]) ).
cnf(refute_14_871,plain,
( h12(op1(e10,e13)) != h2(e11)
| h2(e11) != e22
| h12(op1(e10,e13)) = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),e22) ),[0],$fot(h2(e11))]]) ).
cnf(refute_14_872,plain,
( h12(op1(e10,e13)) != h2(e11)
| h12(op1(e10,e13)) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_14_519,refute_14_871]) ).
cnf(refute_14_873,plain,
h12(op1(e10,e13)) = e22,
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) )],[refute_14_453,refute_14_872]) ).
cnf(refute_14_874,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(canonicalize,[],[normalize_14_136]) ).
cnf(refute_14_875,plain,
op1(op1(e12,e10),e13) = op1(op1(e12,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e10),e13))]]) ).
cnf(refute_14_876,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) != op1(op1(e12,e10),e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_14_877,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) )],[refute_14_875,refute_14_876]) ).
cnf(refute_14_878,plain,
op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_14_842,refute_14_877]) ).
cnf(refute_14_879,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(op1(e11,e13),e13)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op1(op1(e12,e10),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,e10)))]]) ).
cnf(refute_14_880,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e11,e13),e13)) )],[refute_14_878,refute_14_879]) ).
cnf(refute_14_881,plain,
op1(op1(e12,e10),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_14_810,refute_14_880]) ).
cnf(refute_14_882,plain,
( op1(op1(e12,e10),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e11,e10))]]) ).
cnf(refute_14_883,plain,
( op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e11,e10)) )],[refute_14_881,refute_14_882]) ).
cnf(refute_14_884,plain,
op1(e11,e10) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) )],[refute_14_874,refute_14_883]) ).
cnf(refute_14_885,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_14_886,plain,
( op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_14_867,refute_14_885]) ).
cnf(refute_14_887,plain,
op1(e10,e11) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) )],[refute_14_884,refute_14_886]) ).
cnf(refute_14_888,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_14_138]) ).
cnf(refute_14_889,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_14_139]) ).
cnf(refute_14_890,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_14_891,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_14_95,refute_14_890]) ).
cnf(refute_14_892,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_14_891,refute_14_889]) ).
cnf(refute_14_893,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_14_888,refute_14_892]) ).
cnf(refute_14_894,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_14_140]) ).
cnf(refute_14_895,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_14_896,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_87,refute_14_895]) ).
cnf(refute_14_897,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_14_896,refute_14_894]) ).
cnf(refute_14_898,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_14_893,refute_14_897]) ).
cnf(refute_14_899,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e13) != e13
| op1(e10,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) ),[1,1],$fot(e13)]]) ).
cnf(refute_14_900,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_14_898,refute_14_899]) ).
cnf(refute_14_901,plain,
( op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_14_887,refute_14_900]) ).
cnf(refute_14_902,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e12,e13) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e11) ),[0],$fot(op1(e12,e13))]]) ).
cnf(refute_14_903,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_14_87,refute_14_902]) ).
cnf(refute_14_904,plain,
( op1(e10,e11) = e11
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e13)) )],[refute_14_901,refute_14_903]) ).
cnf(refute_14_905,plain,
( h12(op1(e10,e13)) != e22
| op1(e10,e13) != e12
| h12(e12) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),e22) ),[0,0],$fot(e12)]]) ).
cnf(refute_14_906,plain,
( h12(op1(e10,e13)) != e22
| h12(e12) = e22
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_14_904,refute_14_905]) ).
cnf(refute_14_907,plain,
( h12(e12) = e22
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),e22) )],[refute_14_873,refute_14_906]) ).
cnf(refute_14_908,plain,
( h12(e12) != e22
| h12(e12) != e23
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h12(e12),e22) ),[0],$fot(e23)]]) ).
cnf(refute_14_909,plain,
( h12(e12) != e22
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_14_7,refute_14_908]) ).
cnf(refute_14_910,plain,
( e23 = e22
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(h12(e12),e22) )],[refute_14_907,refute_14_909]) ).
cnf(refute_14_911,plain,
e22 != e23,
inference(canonicalize,[],[normalize_14_141]) ).
cnf(refute_14_912,plain,
( e23 != e22
| e22 = e23 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e23)),bind(Y,$fot(e22))]]) ).
cnf(refute_14_913,plain,
e23 != e22,
inference(resolve,[$cnf( $equal(e22,e23) )],[refute_14_912,refute_14_911]) ).
cnf(refute_14_914,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_14_910,refute_14_913]) ).
cnf(refute_14_915,plain,
( op1(e10,e11) != e11
| op1(op1(e11,e12),e12) != op1(e10,e11)
| op1(op1(e11,e12),e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e11)) ),[1],$fot(e11)]]) ).
cnf(refute_14_916,plain,
( op1(op1(e11,e12),e12) != op1(e10,e11)
| op1(op1(e11,e12),e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_14_914,refute_14_915]) ).
cnf(refute_14_917,plain,
op1(op1(e11,e12),e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e11)) )],[refute_14_870,refute_14_916]) ).
cnf(refute_14_918,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(canonicalize,[],[normalize_14_142]) ).
cnf(refute_14_919,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_14_920,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) ),[1,1],$fot(op1(e10,e12))]]) ).
cnf(refute_14_921,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_14_919,refute_14_920]) ).
cnf(refute_14_922,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_14_855,refute_14_921]) ).
cnf(refute_14_923,plain,
( op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(op1(e11,e11),e13) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) ),[1],$fot(op1(e11,op1(e10,e12)))]]) ).
cnf(refute_14_924,plain,
( op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(op1(e11,e11),e13) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_14_922,refute_14_923]) ).
cnf(refute_14_925,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) )],[refute_14_918,refute_14_924]) ).
cnf(refute_14_926,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_14_143]) ).
cnf(refute_14_927,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_14_144]) ).
cnf(refute_14_928,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_14_929,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) != op1(op1(e11,e10),e12)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_14_930,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_14_928,refute_14_929]) ).
cnf(refute_14_931,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_14_867,refute_14_930]) ).
cnf(refute_14_932,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_14_933,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_14_931,refute_14_932]) ).
cnf(refute_14_934,plain,
op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_14_927,refute_14_933]) ).
cnf(refute_14_935,plain,
( op1(op1(e11,e10),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_14_936,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,op1(e11,e12))) )],[refute_14_934,refute_14_935]) ).
cnf(refute_14_937,plain,
op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_14_926,refute_14_936]) ).
cnf(refute_14_938,plain,
( op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(op1(e10,op1(e11,e12)))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_14_939,plain,
op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) )],[refute_14_937,refute_14_938]) ).
cnf(refute_14_940,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(op1(e11,e11),e13) != op1(e11,op1(e10,e12))
| op1(op1(e11,e11),e13) = op1(e10,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e10,e12))) ),[1],$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_14_941,plain,
( op1(op1(e11,e11),e13) != op1(e11,op1(e10,e12))
| op1(op1(e11,e11),e13) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,op1(e11,e12))) )],[refute_14_939,refute_14_940]) ).
cnf(refute_14_942,plain,
op1(op1(e11,e11),e13) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e10,e12))) )],[refute_14_925,refute_14_941]) ).
cnf(refute_14_943,plain,
op1(op1(e10,e11),e12) = op1(op1(e10,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e11),e12))]]) ).
cnf(refute_14_944,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) != op1(op1(e10,e11),e12)
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_14_945,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) )],[refute_14_943,refute_14_944]) ).
cnf(refute_14_946,plain,
op1(op1(e10,e11),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_14_914,refute_14_945]) ).
cnf(refute_14_947,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) != op1(e11,e12)
| op1(e11,e12) = op1(e10,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_14_948,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(e11,e12) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e11,e12)) )],[refute_14_946,refute_14_947]) ).
cnf(refute_14_949,plain,
op1(e11,e12) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_14_927,refute_14_948]) ).
cnf(refute_14_950,plain,
( op1(e11,e12) != op1(e10,op1(e11,e12))
| op1(e10,op1(e11,e12)) = op1(e11,e12) ),
inference(subst,[],[refute_14_4:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_14_951,plain,
op1(e10,op1(e11,e12)) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e10,op1(e11,e12))) )],[refute_14_949,refute_14_950]) ).
cnf(refute_14_952,plain,
( op1(e10,op1(e11,e12)) != op1(e11,e12)
| op1(op1(e11,e11),e13) != op1(e10,op1(e11,e12))
| op1(op1(e11,e11),e13) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,op1(e11,e12))) ),[1],$fot(op1(e11,e12))]]) ).
cnf(refute_14_953,plain,
( op1(op1(e11,e11),e13) != op1(e10,op1(e11,e12))
| op1(op1(e11,e11),e13) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,e12)) )],[refute_14_951,refute_14_952]) ).
cnf(refute_14_954,plain,
op1(op1(e11,e11),e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,op1(e11,e12))) )],[refute_14_942,refute_14_953]) ).
cnf(refute_14_955,plain,
( h12(op1(e10,e13)) != e22
| h12(e12) = e22
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_14_898,refute_14_905]) ).
cnf(refute_14_956,plain,
( h12(e12) = e22
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),e22) )],[refute_14_873,refute_14_955]) ).
cnf(refute_14_957,plain,
( e23 = e22
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(h12(e12),e22) )],[refute_14_956,refute_14_909]) ).
cnf(refute_14_958,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_14_957,refute_14_913]) ).
cnf(refute_14_959,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_14_145]) ).
cnf(refute_14_960,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_14_959,refute_14_108]) ).
cnf(refute_14_961,plain,
op1(op1(e11,e11),e13) = op1(op1(e11,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e13))]]) ).
cnf(refute_14_962,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) != op1(op1(e11,e11),e13)
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_14_963,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) )],[refute_14_961,refute_14_962]) ).
cnf(refute_14_964,plain,
op1(op1(e11,e11),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_14_960,refute_14_963]) ).
cnf(refute_14_965,plain,
( op1(e10,e13) != e13
| op1(op1(e11,e11),e13) != op1(e10,e13)
| op1(op1(e11,e11),e13) = e13 ),
inference(subst,[],[refute_14_18:[bind(X,$fot(op1(op1(e11,e11),e13))),bind(Y,$fot(op1(e10,e13))),bind(Z,$fot(e13))]]) ).
cnf(refute_14_966,plain,
( op1(e10,e13) != e13
| op1(op1(e11,e11),e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,e13)) )],[refute_14_964,refute_14_965]) ).
cnf(refute_14_967,plain,
op1(op1(e11,e11),e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_14_958,refute_14_966]) ).
cnf(refute_14_968,plain,
( op1(op1(e11,e11),e13) != e13
| op1(op1(e11,e11),e13) != op1(e11,e12)
| e13 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,e12)) ),[0],$fot(e13)]]) ).
cnf(refute_14_969,plain,
( op1(op1(e11,e11),e13) != op1(e11,e12)
| e13 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),e13) )],[refute_14_967,refute_14_968]) ).
cnf(refute_14_970,plain,
e13 = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,e12)) )],[refute_14_954,refute_14_969]) ).
cnf(refute_14_971,plain,
( e13 != op1(e11,e12)
| op1(e11,e12) = e13 ),
inference(subst,[],[refute_14_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_14_972,plain,
op1(e11,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e11,e12)) )],[refute_14_970,refute_14_971]) ).
cnf(refute_14_973,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_14_974,plain,
( op1(e11,e12) != e13
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_14_975,plain,
( op1(e11,e12) != e13
| op1(op1(e11,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_14_973,refute_14_974]) ).
cnf(refute_14_976,plain,
op1(op1(e11,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_14_972,refute_14_975]) ).
cnf(refute_14_977,plain,
( op1(op1(e11,e12),e12) != e11
| op1(op1(e11,e12),e12) != op1(e13,e12)
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),e11) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_14_978,plain,
( op1(op1(e11,e12),e12) != e11
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e13,e12)) )],[refute_14_976,refute_14_977]) ).
cnf(refute_14_979,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),e11) )],[refute_14_917,refute_14_978]) ).
cnf(refute_14_980,plain,
h12(op1(e13,e12)) = h12(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e13,e12)))]]) ).
cnf(refute_14_981,plain,
( h12(op1(e13,e12)) != h12(op1(e13,e12))
| op1(e13,e12) != e11
| h12(op1(e13,e12)) = h12(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e12)),h12(op1(e13,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_14_982,plain,
( op1(e13,e12) != e11
| h12(op1(e13,e12)) = h12(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e12)),h12(op1(e13,e12))) )],[refute_14_980,refute_14_981]) ).
cnf(refute_14_983,plain,
h12(op1(e13,e12)) = h12(e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_14_979,refute_14_982]) ).
cnf(refute_14_984,plain,
( h12(e11) != e21
| h12(op1(e13,e12)) != h12(e11)
| h12(op1(e13,e12)) = e21 ),
inference(subst,[],[refute_14_18:[bind(X,$fot(h12(op1(e13,e12)))),bind(Y,$fot(h12(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_14_985,plain,
( h12(e11) != e21
| h12(op1(e13,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e12)),h12(e11)) )],[refute_14_983,refute_14_984]) ).
cnf(refute_14_986,plain,
h12(op1(e13,e12)) = e21,
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_14_794,refute_14_985]) ).
cnf(refute_14_987,plain,
( e21 != e21
| h12(op1(e13,e12)) != e21
| h12(op1(e13,e12)) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e12)),e21) ),[1],$fot(e21)]]) ).
cnf(refute_14_988,plain,
( e21 != e21
| h12(op1(e13,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e12)),e21) )],[refute_14_986,refute_14_987]) ).
cnf(refute_14_989,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h12(op1(e13,e12)),e21) )],[refute_14_988,refute_14_27]) ).
cnf(refute_14_990,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_14_991,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_14_990,refute_14_989]) ).
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))
& ( 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12)) )
=> h12(op1(e13,e13)) = op2(h12(e13),h12(e13)) ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_15_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_15_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_15_4]) ).
fof(normalize_15_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_15_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_15_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_15_10]) ).
fof(normalize_15_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_15_10]) ).
fof(normalize_15_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_15_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_15_13]) ).
fof(normalize_15_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_15_13]) ).
fof(normalize_15_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_15_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_15_16]) ).
fof(normalize_15_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_15_16]) ).
fof(normalize_15_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_15_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_15_19]) ).
fof(normalize_15_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_15_19]) ).
fof(normalize_15_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_15_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_15_22]) ).
fof(normalize_15_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_15_22]) ).
fof(normalize_15_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_15_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_15_25]) ).
fof(normalize_15_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_15_25]) ).
fof(normalize_15_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_15_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_15_28]) ).
fof(normalize_15_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_15_28]) ).
fof(normalize_15_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_15_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_15_31]) ).
fof(normalize_15_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_15_31]) ).
fof(normalize_15_34,plain,
( h12(op1(e13,e13)) != op2(h12(e13),h12(e13))
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_15_0,normalize_15_2,normalize_15_3,normalize_15_5,normalize_15_6,normalize_15_8,normalize_15_9,normalize_15_11,normalize_15_12,normalize_15_14,normalize_15_15,normalize_15_17,normalize_15_18,normalize_15_20,normalize_15_21,normalize_15_23,normalize_15_24,normalize_15_26,normalize_15_27,normalize_15_29,normalize_15_30,normalize_15_32,normalize_15_33]) ).
fof(normalize_15_35,plain,
h12(op1(e13,e13)) != op2(h12(e13),h12(e13)),
inference(conjunct,[],[normalize_15_34]) ).
fof(normalize_15_36,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_15_37,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_15_36]) ).
fof(normalize_15_38,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_15_39,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_15_38]) ).
fof(normalize_15_40,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_15_38]) ).
cnf(refute_15_0,plain,
h12(op1(e13,e13)) != op2(h12(e13),h12(e13)),
inference(canonicalize,[],[normalize_15_35]) ).
cnf(refute_15_1,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_15_37]) ).
cnf(refute_15_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_2,refute_15_3]) ).
cnf(refute_15_5,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_15_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_6,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_15_1,refute_15_5]) ).
cnf(refute_15_7,plain,
h12(op1(e13,e13)) = h12(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h12(op1(e13,e13)))]]) ).
cnf(refute_15_8,plain,
( h12(op1(e13,e13)) != h12(op1(e13,e13))
| op1(e13,e13) != e10
| h12(op1(e13,e13)) = h12(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e13)),h12(op1(e13,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_15_9,plain,
( op1(e13,e13) != e10
| h12(op1(e13,e13)) = h12(e10) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e13)),h12(op1(e13,e13))) )],[refute_15_7,refute_15_8]) ).
cnf(refute_15_10,plain,
h12(op1(e13,e13)) = h12(e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_15_6,refute_15_9]) ).
cnf(refute_15_11,plain,
( h12(e10) != op2(h12(e13),h12(e13))
| h12(op1(e13,e13)) != h12(e10)
| h12(op1(e13,e13)) = op2(h12(e13),h12(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e13,e13)),h12(e10)) ),[1],$fot(op2(h12(e13),h12(e13)))]]) ).
cnf(refute_15_12,plain,
( h12(e10) != op2(h12(e13),h12(e13))
| h12(op1(e13,e13)) = op2(h12(e13),h12(e13)) ),
inference(resolve,[$cnf( $equal(h12(op1(e13,e13)),h12(e10)) )],[refute_15_10,refute_15_11]) ).
cnf(refute_15_13,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_15_39]) ).
cnf(refute_15_14,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_15_4:[bind(X,$fot(h12(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_15_15,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_15_13,refute_15_14]) ).
cnf(refute_15_16,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_15_40]) ).
cnf(refute_15_17,plain,
op2(e22,h12(e13)) = op2(e22,h12(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e13)))]]) ).
cnf(refute_15_18,plain,
( h12(e13) != e22
| op2(e22,h12(e13)) != op2(e22,h12(e13))
| op2(e22,h12(e13)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e13)),op2(e22,h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_15_19,plain,
( h12(e13) != e22
| op2(e22,h12(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e13)),op2(e22,h12(e13))) )],[refute_15_17,refute_15_18]) ).
cnf(refute_15_20,plain,
op2(e22,h12(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_15_16,refute_15_19]) ).
cnf(refute_15_21,plain,
op2(h12(e13),h12(e13)) = op2(h12(e13),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e13),h12(e13)))]]) ).
cnf(refute_15_22,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e13)) != op2(h12(e13),h12(e13))
| op2(h12(e13),h12(e13)) = op2(e22,h12(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e13),h12(e13)),op2(h12(e13),h12(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_15_23,plain,
( h12(e13) != e22
| op2(h12(e13),h12(e13)) = op2(e22,h12(e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e13)),op2(h12(e13),h12(e13))) )],[refute_15_21,refute_15_22]) ).
cnf(refute_15_24,plain,
op2(h12(e13),h12(e13)) = op2(e22,h12(e13)),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_15_16,refute_15_23]) ).
cnf(refute_15_25,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_26,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_4,refute_15_25]) ).
cnf(refute_15_27,plain,
( op2(e22,h12(e13)) != op2(e22,e22)
| op2(h12(e13),h12(e13)) != op2(e22,h12(e13))
| op2(h12(e13),h12(e13)) = op2(e22,e22) ),
inference(subst,[],[refute_15_26:[bind(X,$fot(op2(h12(e13),h12(e13)))),bind(Y,$fot(op2(e22,h12(e13)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_15_28,plain,
( op2(e22,h12(e13)) != op2(e22,e22)
| op2(h12(e13),h12(e13)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e13)),op2(e22,h12(e13))) )],[refute_15_24,refute_15_27]) ).
cnf(refute_15_29,plain,
op2(h12(e13),h12(e13)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h12(e13)),op2(e22,e22)) )],[refute_15_20,refute_15_28]) ).
cnf(refute_15_30,plain,
( op2(e22,e22) != h12(e10)
| op2(h12(e13),h12(e13)) != op2(e22,e22)
| op2(h12(e13),h12(e13)) = h12(e10) ),
inference(subst,[],[refute_15_26:[bind(X,$fot(op2(h12(e13),h12(e13)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_15_31,plain,
( op2(e22,e22) != h12(e10)
| op2(h12(e13),h12(e13)) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e13)),op2(e22,e22)) )],[refute_15_29,refute_15_30]) ).
cnf(refute_15_32,plain,
op2(h12(e13),h12(e13)) = h12(e10),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_15_15,refute_15_31]) ).
cnf(refute_15_33,plain,
( h12(e10) != h12(e10)
| op2(h12(e13),h12(e13)) != h12(e10)
| h12(e10) = op2(h12(e13),h12(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(h12(e13),h12(e13))) ),[1],$fot(h12(e10))]]) ).
cnf(refute_15_34,plain,
( h12(e10) != h12(e10)
| h12(e10) = op2(h12(e13),h12(e13)) ),
inference(resolve,[$cnf( $equal(op2(h12(e13),h12(e13)),h12(e10)) )],[refute_15_32,refute_15_33]) ).
cnf(refute_15_35,plain,
( h12(e10) != h12(e10)
| h12(op1(e13,e13)) = op2(h12(e13),h12(e13)) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(h12(e13),h12(e13))) )],[refute_15_34,refute_15_12]) ).
cnf(refute_15_36,plain,
h12(e10) != h12(e10),
inference(resolve,[$cnf( $equal(h12(op1(e13,e13)),op2(h12(e13),h12(e13))) )],[refute_15_35,refute_15_0]) ).
cnf(refute_15_37,plain,
h12(e10) = h12(e10),
introduced(tautology,[refl,[$fot(h12(e10))]]) ).
cnf(refute_15_38,plain,
$false,
inference(resolve,[$cnf( $equal(h12(e10),h12(e10)) )],[refute_15_37,refute_15_36]) ).
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 )
& ( 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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20 )
=> h12(e13) = e20 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( ~ definitionFOFtoCNF_4
<=> ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 ) ),
inference(canonicalize,[],[definition_4]) ).
fof(normalize_16_1,plain,
( ( op2(e20,e20) = e20
| definitionFOFtoCNF_4 )
& ( op2(e21,e21) = e20
| definitionFOFtoCNF_4 )
& ( op2(e22,e22) = e20
| definitionFOFtoCNF_4 )
& ( op2(e23,e23) = e20
| definitionFOFtoCNF_4 )
& ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20
| ~ definitionFOFtoCNF_4 ) ),
inference(clausify,[],[normalize_16_0]) ).
fof(normalize_16_2,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(conjunct,[],[normalize_16_1]) ).
fof(normalize_16_3,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_16_4,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_16_3]) ).
fof(normalize_16_5,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_16_6,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_16_5]) ).
fof(normalize_16_7,plain,
( h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20
& h12(e13) != e20
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_8,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_16_9,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_16_8]) ).
fof(normalize_16_10,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_16_8]) ).
fof(normalize_16_11,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_16_12,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_16_11]) ).
fof(normalize_16_13,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_16_11]) ).
fof(normalize_16_14,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_16_15,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_16_14]) ).
fof(normalize_16_16,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_16_14]) ).
fof(normalize_16_17,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_16_5]) ).
fof(normalize_16_18,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_16_5]) ).
fof(normalize_16_19,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_16_20,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_21,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_16_19]) ).
fof(normalize_16_22,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_16_23,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_24,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_16_22]) ).
fof(normalize_16_25,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_16_26,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_27,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_16_25]) ).
fof(normalize_16_28,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_16_29,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_16_28]) ).
fof(normalize_16_30,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_16_28]) ).
fof(normalize_16_31,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_16_32,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_16_31]) ).
fof(normalize_16_33,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_16_31]) ).
fof(normalize_16_34,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_16_35,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_16_34]) ).
fof(normalize_16_36,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_16_34]) ).
fof(normalize_16_37,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_16_38,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_16_37]) ).
fof(normalize_16_39,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_16_37]) ).
fof(normalize_16_40,plain,
( h12(e10) != e20
& h12(e11) != e20
& h12(e12) != e20
& h12(e13) != e20
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_16_7,normalize_16_9,normalize_16_10,normalize_16_12,normalize_16_13,normalize_16_15,normalize_16_16,normalize_16_17,normalize_16_18,normalize_16_20,normalize_16_21,normalize_16_23,normalize_16_24,normalize_16_26,normalize_16_27,normalize_16_29,normalize_16_30,normalize_16_32,normalize_16_33,normalize_16_35,normalize_16_36,normalize_16_38,normalize_16_39]) ).
fof(normalize_16_41,plain,
h12(e10) != e20,
inference(conjunct,[],[normalize_16_40]) ).
fof(normalize_16_42,plain,
( ~ definitionFOFtoCNF_3
<=> ( ( op2(e20,e20) != e20
| op2(e21,e21) != e20
| op2(e22,e22) != e20
| op2(e23,e23) != e20 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(canonicalize,[],[definition_3]) ).
fof(normalize_16_43,plain,
( ~ definitionFOFtoCNF_3
<=> ( definitionFOFtoCNF_4
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21 ) ) ),
inference(simplify,[],[normalize_16_42,normalize_16_0]) ).
fof(normalize_16_44,plain,
( ( definitionFOFtoCNF_3
| definitionFOFtoCNF_4 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e20,e20) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e21,e21) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 )
& ( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e23,e23) = e21 )
& ( op2(e20,e20) != e21
| op2(e21,e21) != e21
| op2(e22,e22) != e21
| op2(e23,e23) != e21
| definitionFOFtoCNF_3 ) ),
inference(clausify,[],[normalize_16_43]) ).
fof(normalize_16_45,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(conjunct,[],[normalize_16_44]) ).
fof(normalize_16_46,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,[],[ax18]) ).
fof(normalize_16_47,plain,
op2(e22,e22) != op2(e22,e23),
inference(conjunct,[],[normalize_16_46]) ).
fof(normalize_16_48,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_16_49,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_50,plain,
( ( op2(e20,e20) = e20
& op2(e21,e21) = e20
& op2(e22,e22) = e20
& op2(e23,e23) = e20 )
| ( op2(e20,e20) = e21
& op2(e21,e21) = e21
& op2(e22,e22) = e21
& op2(e23,e23) = e21 )
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_16_51,plain,
( definitionFOFtoCNF_3
| ( op2(e20,e20) = e22
& op2(e21,e21) = e22
& op2(e22,e22) = e22
& op2(e23,e23) = e22 )
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_16_50,normalize_16_43,normalize_16_0]) ).
fof(normalize_16_52,plain,
( ~ definitionFOFtoCNF_5
<=> ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22 ) ),
inference(canonicalize,[],[definition_5]) ).
fof(normalize_16_53,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5
| ( op2(e20,e20) = e23
& op2(e21,e21) = e23
& op2(e22,e22) = e23
& op2(e23,e23) = e23 ) ),
inference(simplify,[],[normalize_16_51,normalize_16_52]) ).
fof(normalize_16_54,plain,
( ( op2(e20,e20) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e21,e21) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e22,e22) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 )
& ( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_16_53]) ).
fof(normalize_16_55,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(conjunct,[],[normalize_16_54]) ).
fof(normalize_16_56,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_16_48]) ).
fof(normalize_16_57,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_16_58,plain,
e20 != e23,
inference(conjunct,[],[normalize_16_57]) ).
fof(normalize_16_59,plain,
( ( ~ definitionFOFtoCNF_5
| op2(e20,e20) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e21,e21) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e22,e22) = e22 )
& ( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 )
& ( op2(e20,e20) != e22
| op2(e21,e21) != e22
| op2(e22,e22) != e22
| op2(e23,e23) != e22
| definitionFOFtoCNF_5 ) ),
inference(clausify,[],[normalize_16_52]) ).
fof(normalize_16_60,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(conjunct,[],[normalize_16_59]) ).
fof(normalize_16_61,plain,
e20 != e22,
inference(conjunct,[],[normalize_16_57]) ).
cnf(refute_16_0,plain,
( op2(e22,e22) = e20
| definitionFOFtoCNF_4 ),
inference(canonicalize,[],[normalize_16_2]) ).
cnf(refute_16_1,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_16_4]) ).
cnf(refute_16_2,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_16_6]) ).
cnf(refute_16_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_3,refute_16_4]) ).
cnf(refute_16_6,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_16_7,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_16_2,refute_16_6]) ).
cnf(refute_16_8,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_16_9,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_16_7,refute_16_8]) ).
cnf(refute_16_10,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_16_1,refute_16_9]) ).
cnf(refute_16_11,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_16_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_16_12,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_16_10,refute_16_11]) ).
cnf(refute_16_13,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_16_14,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_5,refute_16_13]) ).
cnf(refute_16_15,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_16_14:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_16_16,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_16_7,refute_16_15]) ).
cnf(refute_16_17,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_16_12,refute_16_16]) ).
cnf(refute_16_18,plain,
( op2(e22,e22) != e20
| op2(e22,e22) != h12(e10)
| h12(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e20) ),[0],$fot(h12(e10))]]) ).
cnf(refute_16_19,plain,
( op2(e22,e22) != e20
| h12(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_16_17,refute_16_18]) ).
cnf(refute_16_20,plain,
( h12(e10) = e20
| definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_16_0,refute_16_19]) ).
cnf(refute_16_21,plain,
h12(e10) != e20,
inference(canonicalize,[],[normalize_16_41]) ).
cnf(refute_16_22,plain,
definitionFOFtoCNF_4,
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_16_20,refute_16_21]) ).
cnf(refute_16_23,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| op2(e22,e22) = e21 ),
inference(canonicalize,[],[normalize_16_45]) ).
cnf(refute_16_24,plain,
( op2(e22,e22) != e21
| op2(e22,e22) != h12(e10)
| h12(e10) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),e21) ),[0],$fot(h12(e10))]]) ).
cnf(refute_16_25,plain,
( op2(e22,e22) != e21
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_16_17,refute_16_24]) ).
cnf(refute_16_26,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4
| h12(e10) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e21) )],[refute_16_23,refute_16_25]) ).
cnf(refute_16_27,plain,
op2(e22,e22) != op2(e22,e23),
inference(canonicalize,[],[normalize_16_47]) ).
cnf(refute_16_28,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) != h12(e10)
| op2(e22,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e22),h12(e10)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_16_29,plain,
( h12(e10) != op2(e22,e23)
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_16_17,refute_16_28]) ).
cnf(refute_16_30,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_16_49]) ).
cnf(refute_16_31,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_16_32,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_16_30,refute_16_31]) ).
cnf(refute_16_33,plain,
( h12(e10) != e21
| op2(e22,e23) != e21
| h12(e10) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_16_34,plain,
( h12(e10) != e21
| h12(e10) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_16_32,refute_16_33]) ).
cnf(refute_16_35,plain,
( h12(e10) != e21
| op2(e22,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e23)) )],[refute_16_34,refute_16_29]) ).
cnf(refute_16_36,plain,
h12(e10) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e22),op2(e22,e23)) )],[refute_16_35,refute_16_27]) ).
cnf(refute_16_37,plain,
( ~ definitionFOFtoCNF_3
| ~ definitionFOFtoCNF_4 ),
inference(resolve,[$cnf( $equal(h12(e10),e21) )],[refute_16_26,refute_16_36]) ).
cnf(refute_16_38,plain,
( op2(e23,e23) = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(canonicalize,[],[normalize_16_55]) ).
cnf(refute_16_39,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_16_56]) ).
cnf(refute_16_40,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_16_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_16_41,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_16_39,refute_16_40]) ).
cnf(refute_16_42,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_16_43,plain,
( op2(e23,e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_16_41,refute_16_42]) ).
cnf(refute_16_44,plain,
( e20 = e23
| definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e23) )],[refute_16_38,refute_16_43]) ).
cnf(refute_16_45,plain,
e20 != e23,
inference(canonicalize,[],[normalize_16_58]) ).
cnf(refute_16_46,plain,
( definitionFOFtoCNF_3
| definitionFOFtoCNF_5 ),
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_16_44,refute_16_45]) ).
cnf(refute_16_47,plain,
( ~ definitionFOFtoCNF_5
| op2(e23,e23) = e22 ),
inference(canonicalize,[],[normalize_16_60]) ).
cnf(refute_16_48,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_16_49,plain,
( op2(e23,e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_16_41,refute_16_48]) ).
cnf(refute_16_50,plain,
( ~ definitionFOFtoCNF_5
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e22) )],[refute_16_47,refute_16_49]) ).
cnf(refute_16_51,plain,
e20 != e22,
inference(canonicalize,[],[normalize_16_61]) ).
cnf(refute_16_52,plain,
~ definitionFOFtoCNF_5,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_16_50,refute_16_51]) ).
cnf(refute_16_53,plain,
definitionFOFtoCNF_3,
inference(resolve,[$cnf( definitionFOFtoCNF_5 )],[refute_16_46,refute_16_52]) ).
cnf(refute_16_54,plain,
~ definitionFOFtoCNF_4,
inference(resolve,[$cnf( definitionFOFtoCNF_3 )],[refute_16_53,refute_16_37]) ).
cnf(refute_16_55,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_4 )],[refute_16_22,refute_16_54]) ).
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 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21 )
=> h12(e13) = e21 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21
& h12(e13) != e21
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_17_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_3,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_4,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_17_5,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_6,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_7,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_17_8,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_10,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_17_11,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_12,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_13,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_17_14,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_17_13]) ).
fof(normalize_17_15,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_17_13]) ).
fof(normalize_17_16,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_17_17,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_17_16]) ).
fof(normalize_17_18,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_17_16]) ).
fof(normalize_17_19,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_17_20,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_17_19]) ).
fof(normalize_17_21,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_17_19]) ).
fof(normalize_17_22,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_17_23,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_17_22]) ).
fof(normalize_17_24,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_17_22]) ).
fof(normalize_17_25,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_17_26,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_17_25]) ).
fof(normalize_17_27,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_17_25]) ).
fof(normalize_17_28,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_17_29,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_17_28]) ).
fof(normalize_17_30,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_17_28]) ).
fof(normalize_17_31,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_17_32,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_17_31]) ).
fof(normalize_17_33,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_17_31]) ).
fof(normalize_17_34,plain,
( h12(e10) != e21
& h12(e11) != e21
& h12(e12) != e21
& h12(e13) != e21
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(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) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(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) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22 )
| ( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 ) ) ),
inference(simplify,[],[normalize_17_0,normalize_17_2,normalize_17_3,normalize_17_5,normalize_17_6,normalize_17_8,normalize_17_9,normalize_17_11,normalize_17_12,normalize_17_14,normalize_17_15,normalize_17_17,normalize_17_18,normalize_17_20,normalize_17_21,normalize_17_23,normalize_17_24,normalize_17_26,normalize_17_27,normalize_17_29,normalize_17_30,normalize_17_32,normalize_17_33]) ).
fof(normalize_17_35,plain,
h12(e11) != e21,
inference(conjunct,[],[normalize_17_34]) ).
fof(normalize_17_36,plain,
( op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20))
& op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21))
& op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22))
& op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23))
& op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20))
& op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21))
& op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22))
& op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23))
& op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20))
& op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21))
& op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22))
& op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23))
& op2(op2(e20,e23),e20) = op2(e20,op2(e23,e20))
& op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21))
& op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22))
& op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23))
& op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20))
& op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21))
& op2(op2(e21,e20),e22) = op2(e21,op2(e20,e22))
& op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23))
& op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20))
& op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21))
& op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22))
& op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23))
& op2(op2(e21,e22),e20) = op2(e21,op2(e22,e20))
& op2(op2(e21,e22),e21) = op2(e21,op2(e22,e21))
& op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22))
& op2(op2(e21,e22),e23) = op2(e21,op2(e22,e23))
& op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20))
& op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21))
& op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22))
& op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23))
& op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20))
& op2(op2(e22,e20),e21) = op2(e22,op2(e20,e21))
& op2(op2(e22,e20),e22) = op2(e22,op2(e20,e22))
& op2(op2(e22,e20),e23) = op2(e22,op2(e20,e23))
& op2(op2(e22,e21),e20) = op2(e22,op2(e21,e20))
& op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21))
& op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22))
& op2(op2(e22,e21),e23) = op2(e22,op2(e21,e23))
& op2(op2(e22,e22),e20) = op2(e22,op2(e22,e20))
& op2(op2(e22,e22),e21) = op2(e22,op2(e22,e21))
& op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22))
& op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23))
& op2(op2(e22,e23),e20) = op2(e22,op2(e23,e20))
& op2(op2(e22,e23),e21) = op2(e22,op2(e23,e21))
& op2(op2(e22,e23),e22) = op2(e22,op2(e23,e22))
& op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23))
& op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20))
& op2(op2(e23,e20),e21) = op2(e23,op2(e20,e21))
& op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22))
& op2(op2(e23,e20),e23) = op2(e23,op2(e20,e23))
& op2(op2(e23,e21),e20) = op2(e23,op2(e21,e20))
& op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21))
& op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22))
& op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23))
& op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20))
& op2(op2(e23,e22),e21) = op2(e23,op2(e22,e21))
& op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22))
& op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23))
& op2(op2(e23,e23),e20) = op2(e23,op2(e23,e20))
& op2(op2(e23,e23),e21) = op2(e23,op2(e23,e21))
& op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22))
& op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)) ),
inference(canonicalize,[],[ax6]) ).
fof(normalize_17_37,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_38,plain,
h5(e11) = op2(e21,e22),
inference(conjunct,[],[normalize_17_19]) ).
fof(normalize_17_39,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_17_40,plain,
h12(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_17_39]) ).
fof(normalize_17_41,plain,
h2(e10) = op2(e22,e22),
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_42,plain,
h4(e11) = op2(e21,e20),
inference(conjunct,[],[normalize_17_16]) ).
fof(normalize_17_43,plain,
( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 ),
inference(conjunct,[],[normalize_17_34]) ).
fof(normalize_17_44,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_17_39]) ).
fof(normalize_17_45,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_17_39]) ).
fof(normalize_17_46,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_17_47,plain,
e20 != e22,
inference(conjunct,[],[normalize_17_46]) ).
fof(normalize_17_48,plain,
e20 != e23,
inference(conjunct,[],[normalize_17_46]) ).
fof(normalize_17_49,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,[],[ax18]) ).
fof(normalize_17_50,plain,
op2(e23,e22) != op2(e23,e23),
inference(conjunct,[],[normalize_17_49]) ).
fof(normalize_17_51,plain,
h12(e11) = op2(e23,e22),
inference(conjunct,[],[normalize_17_39]) ).
fof(normalize_17_52,plain,
( e20 = op2(e23,e23)
& e21 = op2(e22,e23) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_17_53,plain,
e20 = op2(e23,e23),
inference(conjunct,[],[normalize_17_52]) ).
fof(normalize_17_54,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_55,plain,
h6(e11) = op2(e21,e23),
inference(conjunct,[],[normalize_17_22]) ).
fof(normalize_17_56,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_57,plain,
h2(e11) = op2(e20,e22),
inference(conjunct,[],[normalize_17_10]) ).
fof(normalize_17_58,plain,
h1(e11) = op2(e20,e21),
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_59,plain,
e21 = op2(e22,e23),
inference(conjunct,[],[normalize_17_52]) ).
fof(normalize_17_60,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_61,plain,
h7(e11) = op2(e22,e20),
inference(conjunct,[],[normalize_17_25]) ).
fof(normalize_17_62,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_63,plain,
( op1(op1(e10,e10),e10) = op1(e10,op1(e10,e10))
& op1(op1(e10,e10),e11) = op1(e10,op1(e10,e11))
& op1(op1(e10,e10),e12) = op1(e10,op1(e10,e12))
& op1(op1(e10,e10),e13) = op1(e10,op1(e10,e13))
& op1(op1(e10,e11),e10) = op1(e10,op1(e11,e10))
& op1(op1(e10,e11),e11) = op1(e10,op1(e11,e11))
& op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12))
& op1(op1(e10,e11),e13) = op1(e10,op1(e11,e13))
& op1(op1(e10,e12),e10) = op1(e10,op1(e12,e10))
& op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11))
& op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12))
& op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13))
& op1(op1(e10,e13),e10) = op1(e10,op1(e13,e10))
& op1(op1(e10,e13),e11) = op1(e10,op1(e13,e11))
& op1(op1(e10,e13),e12) = op1(e10,op1(e13,e12))
& op1(op1(e10,e13),e13) = op1(e10,op1(e13,e13))
& op1(op1(e11,e10),e10) = op1(e11,op1(e10,e10))
& op1(op1(e11,e10),e11) = op1(e11,op1(e10,e11))
& op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12))
& op1(op1(e11,e10),e13) = op1(e11,op1(e10,e13))
& op1(op1(e11,e11),e10) = op1(e11,op1(e11,e10))
& op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11))
& op1(op1(e11,e11),e12) = op1(e11,op1(e11,e12))
& op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13))
& op1(op1(e11,e12),e10) = op1(e11,op1(e12,e10))
& op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11))
& op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12))
& op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13))
& op1(op1(e11,e13),e10) = op1(e11,op1(e13,e10))
& op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11))
& op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12))
& op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13))
& op1(op1(e12,e10),e10) = op1(e12,op1(e10,e10))
& op1(op1(e12,e10),e11) = op1(e12,op1(e10,e11))
& op1(op1(e12,e10),e12) = op1(e12,op1(e10,e12))
& op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13))
& op1(op1(e12,e11),e10) = op1(e12,op1(e11,e10))
& op1(op1(e12,e11),e11) = op1(e12,op1(e11,e11))
& op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12))
& op1(op1(e12,e11),e13) = op1(e12,op1(e11,e13))
& op1(op1(e12,e12),e10) = op1(e12,op1(e12,e10))
& op1(op1(e12,e12),e11) = op1(e12,op1(e12,e11))
& op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12))
& op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13))
& op1(op1(e12,e13),e10) = op1(e12,op1(e13,e10))
& op1(op1(e12,e13),e11) = op1(e12,op1(e13,e11))
& op1(op1(e12,e13),e12) = op1(e12,op1(e13,e12))
& op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13))
& op1(op1(e13,e10),e10) = op1(e13,op1(e10,e10))
& op1(op1(e13,e10),e11) = op1(e13,op1(e10,e11))
& op1(op1(e13,e10),e12) = op1(e13,op1(e10,e12))
& op1(op1(e13,e10),e13) = op1(e13,op1(e10,e13))
& op1(op1(e13,e11),e10) = op1(e13,op1(e11,e10))
& op1(op1(e13,e11),e11) = op1(e13,op1(e11,e11))
& op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12))
& op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13))
& op1(op1(e13,e12),e10) = op1(e13,op1(e12,e10))
& op1(op1(e13,e12),e11) = op1(e13,op1(e12,e11))
& op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12))
& op1(op1(e13,e12),e13) = op1(e13,op1(e12,e13))
& op1(op1(e13,e13),e10) = op1(e13,op1(e13,e10))
& op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11))
& op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12))
& op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)) ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_17_64,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_65,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_66,plain,
( e10 = op1(e13,e13)
& e11 = op1(e12,e13) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_17_67,plain,
e10 = op1(e13,e13),
inference(conjunct,[],[normalize_17_66]) ).
fof(normalize_17_68,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_69,plain,
e11 = op1(e12,e13),
inference(conjunct,[],[normalize_17_66]) ).
fof(normalize_17_70,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_71,plain,
( ~ definitionFOFtoCNF_1
<=> ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_17_72,plain,
( ( op1(e10,e10) = e10
| definitionFOFtoCNF_1 )
& ( op1(e11,e11) = e10
| definitionFOFtoCNF_1 )
& ( op1(e12,e12) = e10
| definitionFOFtoCNF_1 )
& ( op1(e13,e13) = e10
| definitionFOFtoCNF_1 )
& ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10
| ~ definitionFOFtoCNF_1 ) ),
inference(clausify,[],[normalize_17_71]) ).
fof(normalize_17_73,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_17_72]) ).
fof(normalize_17_74,plain,
( ~ definitionFOFtoCNF_0
<=> ( ( op1(e10,e10) != e10
| op1(e11,e11) != e10
| op1(e12,e12) != e10
| op1(e13,e13) != e10 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_17_75,plain,
( ~ definitionFOFtoCNF_0
<=> ( definitionFOFtoCNF_1
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11 ) ) ),
inference(simplify,[],[normalize_17_74,normalize_17_71]) ).
fof(normalize_17_76,plain,
( ( definitionFOFtoCNF_0
| definitionFOFtoCNF_1 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e10,e10) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e11,e11) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 )
& ( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e13,e13) = e11 )
& ( op1(e10,e10) != e11
| op1(e11,e11) != e11
| op1(e12,e12) != e11
| op1(e13,e13) != e11
| definitionFOFtoCNF_0 ) ),
inference(clausify,[],[normalize_17_75]) ).
fof(normalize_17_77,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(conjunct,[],[normalize_17_76]) ).
fof(normalize_17_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,[],[ax17]) ).
fof(normalize_17_79,plain,
op1(e12,e12) != op1(e12,e13),
inference(conjunct,[],[normalize_17_78]) ).
fof(normalize_17_80,plain,
( ( op1(e10,e10) = e10
& op1(e11,e11) = e10
& op1(e12,e12) = e10
& op1(e13,e13) = e10 )
| ( op1(e10,e10) = e11
& op1(e11,e11) = e11
& op1(e12,e12) = e11
& op1(e13,e13) = e11 )
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax22]) ).
fof(normalize_17_81,plain,
( definitionFOFtoCNF_0
| ( op1(e10,e10) = e12
& op1(e11,e11) = e12
& op1(e12,e12) = e12
& op1(e13,e13) = e12 )
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_17_80,normalize_17_75,normalize_17_71]) ).
fof(normalize_17_82,plain,
( ~ definitionFOFtoCNF_2
<=> ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12 ) ),
inference(canonicalize,[],[definition_2]) ).
fof(normalize_17_83,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2
| ( op1(e10,e10) = e13
& op1(e11,e11) = e13
& op1(e12,e12) = e13
& op1(e13,e13) = e13 ) ),
inference(simplify,[],[normalize_17_81,normalize_17_82]) ).
fof(normalize_17_84,plain,
( ( op1(e10,e10) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e11,e11) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e12,e12) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 )
& ( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_17_83]) ).
fof(normalize_17_85,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(conjunct,[],[normalize_17_84]) ).
fof(normalize_17_86,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_17_87,plain,
e10 != e13,
inference(conjunct,[],[normalize_17_86]) ).
fof(normalize_17_88,plain,
( ( ~ definitionFOFtoCNF_2
| op1(e10,e10) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e11,e11) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e12,e12) = e12 )
& ( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 )
& ( op1(e10,e10) != e12
| op1(e11,e11) != e12
| op1(e12,e12) != e12
| op1(e13,e13) != e12
| definitionFOFtoCNF_2 ) ),
inference(clausify,[],[normalize_17_82]) ).
fof(normalize_17_89,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(conjunct,[],[normalize_17_88]) ).
fof(normalize_17_90,plain,
e10 != e12,
inference(conjunct,[],[normalize_17_86]) ).
fof(normalize_17_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_17_92,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(conjunct,[],[normalize_17_91]) ).
fof(normalize_17_93,plain,
op1(e10,e13) != op1(e13,e13),
inference(conjunct,[],[normalize_17_78]) ).
fof(normalize_17_94,plain,
op1(e10,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_17_78]) ).
fof(normalize_17_95,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(conjunct,[],[normalize_17_72]) ).
fof(normalize_17_96,plain,
op1(e10,e11) != op1(e11,e11),
inference(conjunct,[],[normalize_17_78]) ).
fof(normalize_17_97,plain,
e12 != e13,
inference(conjunct,[],[normalize_17_86]) ).
fof(normalize_17_98,plain,
op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_99,plain,
h10(e11) = op2(e23,e20),
inference(conjunct,[],[normalize_17_4]) ).
fof(normalize_17_100,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_101,plain,
h3(e11) = op2(e20,e23),
inference(conjunct,[],[normalize_17_13]) ).
fof(normalize_17_102,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_103,plain,
h12(op1(e10,e11)) = op2(h12(e10),h12(e11)),
inference(conjunct,[],[normalize_17_34]) ).
fof(normalize_17_104,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_105,plain,
h8(e11) = op2(e22,e21),
inference(conjunct,[],[normalize_17_28]) ).
fof(normalize_17_106,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_107,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(conjunct,[],[normalize_17_34]) ).
fof(normalize_17_108,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_109,plain,
h11(e11) = op2(e23,e21),
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_110,plain,
h12(op1(e11,e12)) = op2(h12(e11),h12(e12)),
inference(conjunct,[],[normalize_17_34]) ).
fof(normalize_17_111,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_112,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_113,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_114,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_115,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_17_63]) ).
fof(normalize_17_116,plain,
op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23)),
inference(conjunct,[],[normalize_17_36]) ).
fof(normalize_17_117,plain,
h12(op1(e11,e10)) = op2(h12(e11),h12(e10)),
inference(conjunct,[],[normalize_17_34]) ).
fof(normalize_17_118,plain,
op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
inference(conjunct,[],[normalize_17_36]) ).
cnf(refute_17_0,plain,
h12(e11) != e21,
inference(canonicalize,[],[normalize_17_35]) ).
cnf(refute_17_1,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_37]) ).
cnf(refute_17_2,plain,
h5(e11) = op2(e21,e22),
inference(canonicalize,[],[normalize_17_38]) ).
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( $equal(X,X) )],[refute_17_3,refute_17_4]) ).
cnf(refute_17_6,plain,
( h5(e11) != op2(e21,e22)
| op2(e21,e22) = h5(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h5(e11))),bind(Y,$fot(op2(e21,e22)))]]) ).
cnf(refute_17_7,plain,
op2(e21,e22) = h5(e11),
inference(resolve,[$cnf( $equal(h5(e11),op2(e21,e22)) )],[refute_17_2,refute_17_6]) ).
cnf(refute_17_8,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_17_9,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h5(e11))]]) ).
cnf(refute_17_10,plain,
( op2(e21,e22) != h5(e11)
| op2(op2(e21,e22),e22) = op2(h5(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_17_8,refute_17_9]) ).
cnf(refute_17_11,plain,
op2(op2(e21,e22),e22) = op2(h5(e11),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_17_7,refute_17_10]) ).
cnf(refute_17_12,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[0],$fot(op2(h5(e11),e22))]]) ).
cnf(refute_17_13,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h5(e11),e22)) )],[refute_17_11,refute_17_12]) ).
cnf(refute_17_14,plain,
h12(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_17_40]) ).
cnf(refute_17_15,plain,
h2(e10) = op2(e22,e22),
inference(canonicalize,[],[normalize_17_41]) ).
cnf(refute_17_16,plain,
( h2(e10) != op2(e22,e22)
| op2(e22,e22) = h2(e10) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_17_17,plain,
op2(e22,e22) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e22,e22)) )],[refute_17_15,refute_17_16]) ).
cnf(refute_17_18,plain,
( h12(e10) != op2(e22,e22)
| op2(e22,e22) != h2(e10)
| h12(e10) = h2(e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e10),h2(e10)) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_17_19,plain,
( h12(e10) != op2(e22,e22)
| h12(e10) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_17_17,refute_17_18]) ).
cnf(refute_17_20,plain,
h12(e10) = h2(e10),
inference(resolve,[$cnf( $equal(h12(e10),op2(e22,e22)) )],[refute_17_14,refute_17_19]) ).
cnf(refute_17_21,plain,
( h12(e10) != h2(e10)
| h2(e10) = h12(e10) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h12(e10))),bind(Y,$fot(h2(e10)))]]) ).
cnf(refute_17_22,plain,
h2(e10) = h12(e10),
inference(resolve,[$cnf( $equal(h12(e10),h2(e10)) )],[refute_17_20,refute_17_21]) ).
cnf(refute_17_23,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_24,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_5,refute_17_23]) ).
cnf(refute_17_25,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) != h2(e10)
| op2(e22,e22) = h12(e10) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e22,e22))),bind(Y,$fot(h2(e10))),bind(Z,$fot(h12(e10)))]]) ).
cnf(refute_17_26,plain,
( h2(e10) != h12(e10)
| op2(e22,e22) = h12(e10) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),h2(e10)) )],[refute_17_17,refute_17_25]) ).
cnf(refute_17_27,plain,
op2(e22,e22) = h12(e10),
inference(resolve,[$cnf( $equal(h2(e10),h12(e10)) )],[refute_17_22,refute_17_26]) ).
cnf(refute_17_28,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_17_29,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_17_30,plain,
( op2(e22,e22) != h12(e10)
| op2(e21,op2(e22,e22)) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_17_28,refute_17_29]) ).
cnf(refute_17_31,plain,
op2(e21,op2(e22,e22)) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_17_27,refute_17_30]) ).
cnf(refute_17_32,plain,
( op2(e21,op2(e22,e22)) != op2(e21,h12(e10))
| op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_17_33,plain,
( op2(h5(e11),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,h12(e10))) )],[refute_17_31,refute_17_32]) ).
cnf(refute_17_34,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(h5(e11),e22) = op2(e21,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,op2(e22,e22))) )],[refute_17_13,refute_17_33]) ).
cnf(refute_17_35,plain,
op2(h5(e11),e22) = op2(e21,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_17_1,refute_17_34]) ).
cnf(refute_17_36,plain,
h4(e11) = op2(e21,e20),
inference(canonicalize,[],[normalize_17_42]) ).
cnf(refute_17_37,plain,
( h4(e11) != op2(e21,e20)
| op2(e21,e20) = h4(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e21,e20)))]]) ).
cnf(refute_17_38,plain,
op2(e21,e20) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e21,e20)) )],[refute_17_36,refute_17_37]) ).
cnf(refute_17_39,plain,
( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 ),
inference(canonicalize,[],[normalize_17_43]) ).
cnf(refute_17_40,plain,
h12(e12) = e23,
inference(canonicalize,[],[normalize_17_44]) ).
cnf(refute_17_41,plain,
( h12(e12) != e20
| h12(e12) != e23
| e23 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h12(e12),e20) ),[0],$fot(e23)]]) ).
cnf(refute_17_42,plain,
( h12(e12) != e20
| e23 = e20 ),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_17_40,refute_17_41]) ).
cnf(refute_17_43,plain,
( e23 = e20
| h12(e10) = e20
| h12(e11) = e20
| h12(e13) = e20 ),
inference(resolve,[$cnf( $equal(h12(e12),e20) )],[refute_17_39,refute_17_42]) ).
cnf(refute_17_44,plain,
h12(e13) = e22,
inference(canonicalize,[],[normalize_17_45]) ).
cnf(refute_17_45,plain,
( h12(e13) != e20
| h12(e13) != e22
| e22 = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h12(e13),e20) ),[0],$fot(e22)]]) ).
cnf(refute_17_46,plain,
( h12(e13) != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_17_44,refute_17_45]) ).
cnf(refute_17_47,plain,
( e22 = e20
| e23 = e20
| h12(e10) = e20
| h12(e11) = e20 ),
inference(resolve,[$cnf( $equal(h12(e13),e20) )],[refute_17_43,refute_17_46]) ).
cnf(refute_17_48,plain,
e20 != e22,
inference(canonicalize,[],[normalize_17_47]) ).
cnf(refute_17_49,plain,
( e22 != e20
| e20 = e22 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e22)),bind(Y,$fot(e20))]]) ).
cnf(refute_17_50,plain,
e22 != e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_17_49,refute_17_48]) ).
cnf(refute_17_51,plain,
( e23 = e20
| h12(e10) = e20
| h12(e11) = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_17_47,refute_17_50]) ).
cnf(refute_17_52,plain,
e20 != e23,
inference(canonicalize,[],[normalize_17_48]) ).
cnf(refute_17_53,plain,
( e23 != e20
| e20 = e23 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e23)),bind(Y,$fot(e20))]]) ).
cnf(refute_17_54,plain,
e23 != e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_17_53,refute_17_52]) ).
cnf(refute_17_55,plain,
( h12(e10) = e20
| h12(e11) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_17_51,refute_17_54]) ).
cnf(refute_17_56,plain,
op2(e23,e22) != op2(e23,e23),
inference(canonicalize,[],[normalize_17_50]) ).
cnf(refute_17_57,plain,
h12(e11) = op2(e23,e22),
inference(canonicalize,[],[normalize_17_51]) ).
cnf(refute_17_58,plain,
( h12(e11) != op2(e23,e22)
| op2(e23,e22) = h12(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h12(e11))),bind(Y,$fot(op2(e23,e22)))]]) ).
cnf(refute_17_59,plain,
op2(e23,e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e22)) )],[refute_17_57,refute_17_58]) ).
cnf(refute_17_60,plain,
( h12(e11) != op2(e23,e23)
| op2(e23,e22) != h12(e11)
| op2(e23,e22) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),h12(e11)) ),[1],$fot(op2(e23,e23))]]) ).
cnf(refute_17_61,plain,
( h12(e11) != op2(e23,e23)
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_17_59,refute_17_60]) ).
cnf(refute_17_62,plain,
e20 = op2(e23,e23),
inference(canonicalize,[],[normalize_17_53]) ).
cnf(refute_17_63,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_64,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_17_62,refute_17_63]) ).
cnf(refute_17_65,plain,
( h12(e11) != e20
| op2(e23,e23) != e20
| h12(e11) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(e11),op2(e23,e23)) ),[1],$fot(e20)]]) ).
cnf(refute_17_66,plain,
( h12(e11) != e20
| h12(e11) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_64,refute_17_65]) ).
cnf(refute_17_67,plain,
( h12(e11) != e20
| op2(e23,e22) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h12(e11),op2(e23,e23)) )],[refute_17_66,refute_17_61]) ).
cnf(refute_17_68,plain,
h12(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e23,e23)) )],[refute_17_67,refute_17_56]) ).
cnf(refute_17_69,plain,
h12(e10) = e20,
inference(resolve,[$cnf( $equal(h12(e11),e20) )],[refute_17_55,refute_17_68]) ).
cnf(refute_17_70,plain,
op2(e21,h12(e10)) = op2(e21,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h12(e10)))]]) ).
cnf(refute_17_71,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) != op2(e21,h12(e10))
| op2(e21,h12(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_72,plain,
( h12(e10) != e20
| op2(e21,h12(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,h12(e10))) )],[refute_17_70,refute_17_71]) ).
cnf(refute_17_73,plain,
op2(e21,h12(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_17_69,refute_17_72]) ).
cnf(refute_17_74,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h12(e10)) != op2(e21,e20)
| op2(e21,h12(e10)) = h4(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e21,h12(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_17_75,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,h12(e10)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),op2(e21,e20)) )],[refute_17_73,refute_17_74]) ).
cnf(refute_17_76,plain,
op2(e21,h12(e10)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_17_38,refute_17_75]) ).
cnf(refute_17_77,plain,
( op2(e21,h12(e10)) != h4(e11)
| op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_17_78,plain,
( op2(h5(e11),e22) != op2(e21,h12(e10))
| op2(h5(e11),e22) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h12(e10)),h4(e11)) )],[refute_17_76,refute_17_77]) ).
cnf(refute_17_79,plain,
op2(h5(e11),e22) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(e21,h12(e10))) )],[refute_17_35,refute_17_78]) ).
cnf(refute_17_80,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(canonicalize,[],[normalize_17_54]) ).
cnf(refute_17_81,plain,
h6(e11) = op2(e21,e23),
inference(canonicalize,[],[normalize_17_55]) ).
cnf(refute_17_82,plain,
( h6(e11) != op2(e21,e23)
| op2(e21,e23) = h6(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_17_83,plain,
op2(e21,e23) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e21,e23)) )],[refute_17_81,refute_17_82]) ).
cnf(refute_17_84,plain,
op2(op2(e21,e23),e23) = op2(op2(e21,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e23))]]) ).
cnf(refute_17_85,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e23) != op2(op2(e21,e23),e23)
| op2(op2(e21,e23),e23) = op2(h6(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_17_86,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e23) = op2(h6(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) )],[refute_17_84,refute_17_85]) ).
cnf(refute_17_87,plain,
op2(op2(e21,e23),e23) = op2(h6(e11),e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_17_83,refute_17_86]) ).
cnf(refute_17_88,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(op2(e21,e23),e23) != op2(h6(e11),e23)
| op2(h6(e11),e23) = op2(e21,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) ),[0],$fot(op2(h6(e11),e23))]]) ).
cnf(refute_17_89,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = op2(e21,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(h6(e11),e23)) )],[refute_17_87,refute_17_88]) ).
cnf(refute_17_90,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_17_91,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e21,op2(e23,e23)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_92,plain,
( op2(e23,e23) != e20
| op2(e21,op2(e23,e23)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_17_90,refute_17_91]) ).
cnf(refute_17_93,plain,
op2(e21,op2(e23,e23)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_64,refute_17_92]) ).
cnf(refute_17_94,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,op2(e23,e23)) != op2(e21,e20)
| op2(e21,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e21,op2(e23,e23)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h4(e11)))]]) ).
cnf(refute_17_95,plain,
( op2(e21,e20) != h4(e11)
| op2(e21,op2(e23,e23)) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,e20)) )],[refute_17_93,refute_17_94]) ).
cnf(refute_17_96,plain,
op2(e21,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(op2(e21,e20),h4(e11)) )],[refute_17_38,refute_17_95]) ).
cnf(refute_17_97,plain,
( op2(e21,op2(e23,e23)) != h4(e11)
| op2(h6(e11),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e23),op2(e21,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_17_98,plain,
( op2(h6(e11),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),h4(e11)) )],[refute_17_96,refute_17_97]) ).
cnf(refute_17_99,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(h6(e11),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),op2(e21,op2(e23,e23))) )],[refute_17_89,refute_17_98]) ).
cnf(refute_17_100,plain,
op2(h6(e11),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) )],[refute_17_80,refute_17_99]) ).
cnf(refute_17_101,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(canonicalize,[],[normalize_17_56]) ).
cnf(refute_17_102,plain,
h2(e11) = op2(e20,e22),
inference(canonicalize,[],[normalize_17_57]) ).
cnf(refute_17_103,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_17_104,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_17_102,refute_17_103]) ).
cnf(refute_17_105,plain,
op2(op2(e20,e22),e23) = op2(op2(e20,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e23))]]) ).
cnf(refute_17_106,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e23) != op2(op2(e20,e22),e23)
| op2(op2(e20,e22),e23) = op2(h2(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_17_107,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e23) = op2(h2(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) )],[refute_17_105,refute_17_106]) ).
cnf(refute_17_108,plain,
op2(op2(e20,e22),e23) = op2(h2(e11),e23),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_17_104,refute_17_107]) ).
cnf(refute_17_109,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e20,e22),e23) != op2(h2(e11),e23)
| op2(h2(e11),e23) = op2(e20,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) ),[0],$fot(op2(h2(e11),e23))]]) ).
cnf(refute_17_110,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = op2(e20,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(h2(e11),e23)) )],[refute_17_108,refute_17_109]) ).
cnf(refute_17_111,plain,
h1(e11) = op2(e20,e21),
inference(canonicalize,[],[normalize_17_58]) ).
cnf(refute_17_112,plain,
( h1(e11) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_17_113,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,e21)) )],[refute_17_111,refute_17_112]) ).
cnf(refute_17_114,plain,
e21 = op2(e22,e23),
inference(canonicalize,[],[normalize_17_59]) ).
cnf(refute_17_115,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_17_116,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_17_114,refute_17_115]) ).
cnf(refute_17_117,plain,
op2(e20,op2(e22,e23)) = op2(e20,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e23)))]]) ).
cnf(refute_17_118,plain,
( op2(e20,op2(e22,e23)) != op2(e20,op2(e22,e23))
| op2(e22,e23) != e21
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_119,plain,
( op2(e22,e23) != e21
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,op2(e22,e23))) )],[refute_17_117,refute_17_118]) ).
cnf(refute_17_120,plain,
op2(e20,op2(e22,e23)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_116,refute_17_119]) ).
cnf(refute_17_121,plain,
( op2(e20,e21) != h1(e11)
| op2(e20,op2(e22,e23)) != op2(e20,e21)
| op2(e20,op2(e22,e23)) = h1(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e20,op2(e22,e23)))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_17_122,plain,
( op2(e20,e21) != h1(e11)
| op2(e20,op2(e22,e23)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,e21)) )],[refute_17_120,refute_17_121]) ).
cnf(refute_17_123,plain,
op2(e20,op2(e22,e23)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_17_113,refute_17_122]) ).
cnf(refute_17_124,plain,
( op2(e20,op2(e22,e23)) != h1(e11)
| op2(h2(e11),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e23),op2(e20,op2(e22,e23))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_17_125,plain,
( op2(h2(e11),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),h1(e11)) )],[refute_17_123,refute_17_124]) ).
cnf(refute_17_126,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(h2(e11),e23) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),op2(e20,op2(e22,e23))) )],[refute_17_110,refute_17_125]) ).
cnf(refute_17_127,plain,
op2(h2(e11),e23) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) )],[refute_17_101,refute_17_126]) ).
cnf(refute_17_128,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_60]) ).
cnf(refute_17_129,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_17_130,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_17_131,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e22) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_17_129,refute_17_130]) ).
cnf(refute_17_132,plain,
op2(op2(e22,e22),e22) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_17_27,refute_17_131]) ).
cnf(refute_17_133,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(h12(e10),e22))]]) ).
cnf(refute_17_134,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(h12(e10),e22)) )],[refute_17_132,refute_17_133]) ).
cnf(refute_17_135,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_17_136,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(h12(e10))]]) ).
cnf(refute_17_137,plain,
( op2(e22,e22) != h12(e10)
| op2(e22,op2(e22,e22)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_17_135,refute_17_136]) ).
cnf(refute_17_138,plain,
op2(e22,op2(e22,e22)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_17_27,refute_17_137]) ).
cnf(refute_17_139,plain,
( op2(e22,op2(e22,e22)) != op2(e22,h12(e10))
| op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) ),[1],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_17_140,plain,
( op2(h12(e10),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,h12(e10))) )],[refute_17_138,refute_17_139]) ).
cnf(refute_17_141,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(h12(e10),e22) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,op2(e22,e22))) )],[refute_17_134,refute_17_140]) ).
cnf(refute_17_142,plain,
op2(h12(e10),e22) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_17_128,refute_17_141]) ).
cnf(refute_17_143,plain,
op2(h12(e10),e22) = op2(h12(e10),e22),
introduced(tautology,[refl,[$fot(op2(h12(e10),e22))]]) ).
cnf(refute_17_144,plain,
( h12(e10) != e20
| op2(h12(e10),e22) != op2(h12(e10),e22)
| op2(h12(e10),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_145,plain,
( h12(e10) != e20
| op2(h12(e10),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(h12(e10),e22)) )],[refute_17_143,refute_17_144]) ).
cnf(refute_17_146,plain,
op2(h12(e10),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_17_69,refute_17_145]) ).
cnf(refute_17_147,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) != op2(e20,e22)
| op2(h12(e10),e22) = h2(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h12(e10),e22))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_17_148,plain,
( op2(e20,e22) != h2(e11)
| op2(h12(e10),e22) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e20,e22)) )],[refute_17_146,refute_17_147]) ).
cnf(refute_17_149,plain,
op2(h12(e10),e22) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_17_104,refute_17_148]) ).
cnf(refute_17_150,plain,
( op2(h12(e10),e22) != h2(e11)
| op2(h12(e10),e22) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_17_151,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| h2(e11) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),h2(e11)) )],[refute_17_149,refute_17_150]) ).
cnf(refute_17_152,plain,
h7(e11) = op2(e22,e20),
inference(canonicalize,[],[normalize_17_61]) ).
cnf(refute_17_153,plain,
op2(op2(e22,e23),e23) = op2(e22,op2(e23,e23)),
inference(canonicalize,[],[normalize_17_62]) ).
cnf(refute_17_154,plain,
op2(op2(e22,e23),e23) = op2(op2(e22,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e23),e23))]]) ).
cnf(refute_17_155,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) != op2(op2(e22,e23),e23)
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) ),[1,0],$fot(e21)]]) ).
cnf(refute_17_156,plain,
( op2(e22,e23) != e21
| op2(op2(e22,e23),e23) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(op2(e22,e23),e23)) )],[refute_17_154,refute_17_155]) ).
cnf(refute_17_157,plain,
op2(op2(e22,e23),e23) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_116,refute_17_156]) ).
cnf(refute_17_158,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e21,e23)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(op2(e22,e23),e23))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_17_159,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e22,e23),e23) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e21,e23)) )],[refute_17_157,refute_17_158]) ).
cnf(refute_17_160,plain,
op2(op2(e22,e23),e23) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_17_83,refute_17_159]) ).
cnf(refute_17_161,plain,
( op2(op2(e22,e23),e23) != h6(e11)
| op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) ),[0],$fot(h6(e11))]]) ).
cnf(refute_17_162,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = op2(e22,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),h6(e11)) )],[refute_17_160,refute_17_161]) ).
cnf(refute_17_163,plain,
( h7(e11) != op2(e22,e20)
| op2(e22,e20) = h7(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h7(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_17_164,plain,
op2(e22,e20) = h7(e11),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_17_152,refute_17_163]) ).
cnf(refute_17_165,plain,
op2(e22,op2(e23,e23)) = op2(e22,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_17_166,plain,
( op2(e22,op2(e23,e23)) != op2(e22,op2(e23,e23))
| op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_167,plain,
( op2(e23,e23) != e20
| op2(e22,op2(e23,e23)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,op2(e23,e23))) )],[refute_17_165,refute_17_166]) ).
cnf(refute_17_168,plain,
op2(e22,op2(e23,e23)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_64,refute_17_167]) ).
cnf(refute_17_169,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) != op2(e22,e20)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e22,op2(e23,e23)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h7(e11)))]]) ).
cnf(refute_17_170,plain,
( op2(e22,e20) != h7(e11)
| op2(e22,op2(e23,e23)) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),op2(e22,e20)) )],[refute_17_168,refute_17_169]) ).
cnf(refute_17_171,plain,
op2(e22,op2(e23,e23)) = h7(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h7(e11)) )],[refute_17_164,refute_17_170]) ).
cnf(refute_17_172,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| op2(e22,op2(e23,e23)) != h7(e11)
| h6(e11) = h7(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h6(e11),h7(e11)) ),[0],$fot(op2(e22,op2(e23,e23)))]]) ).
cnf(refute_17_173,plain,
( h6(e11) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e23,e23)),h7(e11)) )],[refute_17_171,refute_17_172]) ).
cnf(refute_17_174,plain,
( op2(op2(e22,e23),e23) != op2(e22,op2(e23,e23))
| h6(e11) = h7(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,op2(e23,e23))) )],[refute_17_162,refute_17_173]) ).
cnf(refute_17_175,plain,
h6(e11) = h7(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e23),e23),op2(e22,op2(e23,e23))) )],[refute_17_153,refute_17_174]) ).
cnf(refute_17_176,plain,
( h6(e11) != h7(e11)
| h7(e11) = h6(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(h7(e11)))]]) ).
cnf(refute_17_177,plain,
h7(e11) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),h7(e11)) )],[refute_17_175,refute_17_176]) ).
cnf(refute_17_178,plain,
( h7(e11) != h6(e11)
| h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h7(e11),op2(e22,e20)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_17_179,plain,
( h7(e11) != op2(e22,e20)
| h6(e11) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(h7(e11),h6(e11)) )],[refute_17_177,refute_17_178]) ).
cnf(refute_17_180,plain,
h6(e11) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h7(e11),op2(e22,e20)) )],[refute_17_152,refute_17_179]) ).
cnf(refute_17_181,plain,
( h6(e11) != op2(e22,e20)
| op2(e22,e20) = h6(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h6(e11))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_17_182,plain,
op2(e22,e20) = h6(e11),
inference(resolve,[$cnf( $equal(h6(e11),op2(e22,e20)) )],[refute_17_180,refute_17_181]) ).
cnf(refute_17_183,plain,
op2(e22,h12(e10)) = op2(e22,h12(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_17_184,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_185,plain,
( h12(e10) != e20
| op2(e22,h12(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,h12(e10))) )],[refute_17_183,refute_17_184]) ).
cnf(refute_17_186,plain,
op2(e22,h12(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_17_69,refute_17_185]) ).
cnf(refute_17_187,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) != op2(e22,e20)
| op2(e22,h12(e10)) = h6(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e22,h12(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(h6(e11)))]]) ).
cnf(refute_17_188,plain,
( op2(e22,e20) != h6(e11)
| op2(e22,h12(e10)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),op2(e22,e20)) )],[refute_17_186,refute_17_187]) ).
cnf(refute_17_189,plain,
op2(e22,h12(e10)) = h6(e11),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_17_182,refute_17_188]) ).
cnf(refute_17_190,plain,
( h2(e11) != op2(e22,h12(e10))
| op2(e22,h12(e10)) != h6(e11)
| h2(e11) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),h6(e11)) ),[0],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_17_191,plain,
( h2(e11) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h6(e11)) )],[refute_17_189,refute_17_190]) ).
cnf(refute_17_192,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| h2(e11) = h6(e11) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h12(e10))) )],[refute_17_151,refute_17_191]) ).
cnf(refute_17_193,plain,
h2(e11) = h6(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_17_142,refute_17_192]) ).
cnf(refute_17_194,plain,
( h2(e11) != h6(e11)
| h6(e11) = h2(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h2(e11))),bind(Y,$fot(h6(e11)))]]) ).
cnf(refute_17_195,plain,
h6(e11) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),h6(e11)) )],[refute_17_193,refute_17_194]) ).
cnf(refute_17_196,plain,
op2(h6(e11),e23) = op2(h6(e11),e23),
introduced(tautology,[refl,[$fot(op2(h6(e11),e23))]]) ).
cnf(refute_17_197,plain,
( h6(e11) != h2(e11)
| op2(h6(e11),e23) != op2(h6(e11),e23)
| op2(h6(e11),e23) = op2(h2(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e23),op2(h6(e11),e23)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_17_198,plain,
( h6(e11) != h2(e11)
| op2(h6(e11),e23) = op2(h2(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),op2(h6(e11),e23)) )],[refute_17_196,refute_17_197]) ).
cnf(refute_17_199,plain,
op2(h6(e11),e23) = op2(h2(e11),e23),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_17_195,refute_17_198]) ).
cnf(refute_17_200,plain,
( op2(h2(e11),e23) != h1(e11)
| op2(h6(e11),e23) != op2(h2(e11),e23)
| op2(h6(e11),e23) = h1(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h6(e11),e23))),bind(Y,$fot(op2(h2(e11),e23))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_17_201,plain,
( op2(h2(e11),e23) != h1(e11)
| op2(h6(e11),e23) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),op2(h2(e11),e23)) )],[refute_17_199,refute_17_200]) ).
cnf(refute_17_202,plain,
op2(h6(e11),e23) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h2(e11),e23),h1(e11)) )],[refute_17_127,refute_17_201]) ).
cnf(refute_17_203,plain,
( op2(h6(e11),e23) != h1(e11)
| op2(h6(e11),e23) != h4(e11)
| h1(e11) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e23),h4(e11)) ),[0],$fot(h1(e11))]]) ).
cnf(refute_17_204,plain,
( op2(h6(e11),e23) != h4(e11)
| h1(e11) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),h1(e11)) )],[refute_17_202,refute_17_203]) ).
cnf(refute_17_205,plain,
h1(e11) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h6(e11),e23),h4(e11)) )],[refute_17_100,refute_17_204]) ).
cnf(refute_17_206,plain,
( h1(e11) != h4(e11)
| h4(e11) = h1(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_17_207,plain,
h4(e11) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h4(e11)) )],[refute_17_205,refute_17_206]) ).
cnf(refute_17_208,plain,
( h4(e11) != h1(e11)
| op2(h5(e11),e22) != h4(e11)
| op2(h5(e11),e22) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),h4(e11)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_17_209,plain,
( op2(h5(e11),e22) != h4(e11)
| op2(h5(e11),e22) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(e11),h1(e11)) )],[refute_17_207,refute_17_208]) ).
cnf(refute_17_210,plain,
op2(h5(e11),e22) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h4(e11)) )],[refute_17_79,refute_17_209]) ).
cnf(refute_17_211,plain,
op1(op1(e12,e10),e13) = op1(e12,op1(e10,e13)),
inference(canonicalize,[],[normalize_17_64]) ).
cnf(refute_17_212,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_17_65]) ).
cnf(refute_17_213,plain,
e10 = op1(e13,e13),
inference(canonicalize,[],[normalize_17_67]) ).
cnf(refute_17_214,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_17_215,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_17_213,refute_17_214]) ).
cnf(refute_17_216,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_17_217,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_218,plain,
( op1(e13,e13) != e10
| op1(e11,op1(e13,e13)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_17_216,refute_17_217]) ).
cnf(refute_17_219,plain,
op1(e11,op1(e13,e13)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_215,refute_17_218]) ).
cnf(refute_17_220,plain,
( op1(e11,op1(e13,e13)) != op1(e11,e10)
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,e10))]]) ).
cnf(refute_17_221,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,e10)) )],[refute_17_219,refute_17_220]) ).
cnf(refute_17_222,plain,
op1(op1(e11,e13),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_17_212,refute_17_221]) ).
cnf(refute_17_223,plain,
op1(op1(e12,e13),e13) = op1(e12,op1(e13,e13)),
inference(canonicalize,[],[normalize_17_68]) ).
cnf(refute_17_224,plain,
e11 = op1(e12,e13),
inference(canonicalize,[],[normalize_17_69]) ).
cnf(refute_17_225,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_17_226,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_17_224,refute_17_225]) ).
cnf(refute_17_227,plain,
op1(op1(e12,e13),e13) = op1(op1(e12,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e13),e13))]]) ).
cnf(refute_17_228,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) != op1(op1(e12,e13),e13)
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_229,plain,
( op1(e12,e13) != e11
| op1(op1(e12,e13),e13) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(op1(e12,e13),e13)) )],[refute_17_227,refute_17_228]) ).
cnf(refute_17_230,plain,
op1(op1(e12,e13),e13) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_17_226,refute_17_229]) ).
cnf(refute_17_231,plain,
( op1(op1(e12,e13),e13) != op1(e11,e13)
| op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_17_232,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e11,e13)) )],[refute_17_230,refute_17_231]) ).
cnf(refute_17_233,plain,
op1(e12,op1(e13,e13)) = op1(e12,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_17_234,plain,
( op1(e12,op1(e13,e13)) != op1(e12,op1(e13,e13))
| op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_235,plain,
( op1(e13,e13) != e10
| op1(e12,op1(e13,e13)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,op1(e13,e13))) )],[refute_17_233,refute_17_234]) ).
cnf(refute_17_236,plain,
op1(e12,op1(e13,e13)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_215,refute_17_235]) ).
cnf(refute_17_237,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e12,op1(e13,e13)) != op1(e12,e10)
| op1(e11,e13) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e12,e10)) ),[0],$fot(op1(e12,op1(e13,e13)))]]) ).
cnf(refute_17_238,plain,
( op1(e11,e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e13,e13)),op1(e12,e10)) )],[refute_17_236,refute_17_237]) ).
cnf(refute_17_239,plain,
( op1(op1(e12,e13),e13) != op1(e12,op1(e13,e13))
| op1(e11,e13) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,op1(e13,e13))) )],[refute_17_232,refute_17_238]) ).
cnf(refute_17_240,plain,
op1(e11,e13) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e13),e13),op1(e12,op1(e13,e13))) )],[refute_17_223,refute_17_239]) ).
cnf(refute_17_241,plain,
( op1(e11,e13) != op1(e12,e10)
| op1(e12,e10) = op1(e11,e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_17_242,plain,
op1(e12,e10) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e10)) )],[refute_17_240,refute_17_241]) ).
cnf(refute_17_243,plain,
op1(op1(e12,e10),e13) = op1(op1(e12,e10),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e10),e13))]]) ).
cnf(refute_17_244,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) != op1(op1(e12,e10),e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_17_245,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e12,e10),e13)) )],[refute_17_243,refute_17_244]) ).
cnf(refute_17_246,plain,
op1(op1(e12,e10),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_17_242,refute_17_245]) ).
cnf(refute_17_247,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(op1(e11,e13),e13)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op1(op1(e12,e10),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,e10)))]]) ).
cnf(refute_17_248,plain,
( op1(op1(e11,e13),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(op1(e11,e13),e13)) )],[refute_17_246,refute_17_247]) ).
cnf(refute_17_249,plain,
op1(op1(e12,e10),e13) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,e10)) )],[refute_17_222,refute_17_248]) ).
cnf(refute_17_250,plain,
( op1(op1(e12,e10),e13) != op1(e11,e10)
| op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e11,e10))]]) ).
cnf(refute_17_251,plain,
( op1(op1(e12,e10),e13) != op1(e12,op1(e10,e13))
| op1(e11,e10) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e11,e10)) )],[refute_17_249,refute_17_250]) ).
cnf(refute_17_252,plain,
op1(e11,e10) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e10),e13),op1(e12,op1(e10,e13))) )],[refute_17_211,refute_17_251]) ).
cnf(refute_17_253,plain,
op1(op1(e11,e11),e11) = op1(e11,op1(e11,e11)),
inference(canonicalize,[],[normalize_17_70]) ).
cnf(refute_17_254,plain,
( op1(e11,e11) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_17_73]) ).
cnf(refute_17_255,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1
| op1(e12,e12) = e11 ),
inference(canonicalize,[],[normalize_17_77]) ).
cnf(refute_17_256,plain,
op1(e12,e12) != op1(e12,e13),
inference(canonicalize,[],[normalize_17_79]) ).
cnf(refute_17_257,plain,
( op1(e12,e12) != e11
| op1(e12,e13) != e11
| op1(e12,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_17_258,plain,
( op1(e12,e12) != e11
| op1(e12,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_17_226,refute_17_257]) ).
cnf(refute_17_259,plain,
op1(e12,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e12),op1(e12,e13)) )],[refute_17_258,refute_17_256]) ).
cnf(refute_17_260,plain,
( ~ definitionFOFtoCNF_0
| ~ definitionFOFtoCNF_1 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e11) )],[refute_17_255,refute_17_259]) ).
cnf(refute_17_261,plain,
( op1(e13,e13) = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(canonicalize,[],[normalize_17_85]) ).
cnf(refute_17_262,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_17_263,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_215,refute_17_262]) ).
cnf(refute_17_264,plain,
( e10 = e13
| definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_17_261,refute_17_263]) ).
cnf(refute_17_265,plain,
e10 != e13,
inference(canonicalize,[],[normalize_17_87]) ).
cnf(refute_17_266,plain,
( definitionFOFtoCNF_0
| definitionFOFtoCNF_2 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_17_264,refute_17_265]) ).
cnf(refute_17_267,plain,
( ~ definitionFOFtoCNF_2
| op1(e13,e13) = e12 ),
inference(canonicalize,[],[normalize_17_89]) ).
cnf(refute_17_268,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e12) ),[0],$fot(e10)]]) ).
cnf(refute_17_269,plain,
( op1(e13,e13) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_215,refute_17_268]) ).
cnf(refute_17_270,plain,
( ~ definitionFOFtoCNF_2
| e10 = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_17_267,refute_17_269]) ).
cnf(refute_17_271,plain,
e10 != e12,
inference(canonicalize,[],[normalize_17_90]) ).
cnf(refute_17_272,plain,
~ definitionFOFtoCNF_2,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_17_270,refute_17_271]) ).
cnf(refute_17_273,plain,
definitionFOFtoCNF_0,
inference(resolve,[$cnf( definitionFOFtoCNF_2 )],[refute_17_266,refute_17_272]) ).
cnf(refute_17_274,plain,
~ definitionFOFtoCNF_1,
inference(resolve,[$cnf( definitionFOFtoCNF_0 )],[refute_17_273,refute_17_260]) ).
cnf(refute_17_275,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_17_254,refute_17_274]) ).
cnf(refute_17_276,plain,
op1(op1(e11,e11),e11) = op1(op1(e11,e11),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e11))]]) ).
cnf(refute_17_277,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) != op1(op1(e11,e11),e11)
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_278,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) )],[refute_17_276,refute_17_277]) ).
cnf(refute_17_279,plain,
op1(op1(e11,e11),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_17_275,refute_17_278]) ).
cnf(refute_17_280,plain,
( op1(op1(e11,e11),e11) != op1(e10,e11)
| op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_17_281,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,op1(e11,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e10,e11)) )],[refute_17_279,refute_17_280]) ).
cnf(refute_17_282,plain,
op1(e11,op1(e11,e11)) = op1(e11,op1(e11,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_17_283,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_284,plain,
( op1(e11,e11) != e10
| op1(e11,op1(e11,e11)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,op1(e11,e11))) )],[refute_17_282,refute_17_283]) ).
cnf(refute_17_285,plain,
op1(e11,op1(e11,e11)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_17_275,refute_17_284]) ).
cnf(refute_17_286,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e11,op1(e11,e11)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e11)))]]) ).
cnf(refute_17_287,plain,
( op1(e10,e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e11)),op1(e11,e10)) )],[refute_17_285,refute_17_286]) ).
cnf(refute_17_288,plain,
( op1(op1(e11,e11),e11) != op1(e11,op1(e11,e11))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e11))) )],[refute_17_281,refute_17_287]) ).
cnf(refute_17_289,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e11),op1(e11,op1(e11,e11))) )],[refute_17_253,refute_17_288]) ).
cnf(refute_17_290,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_17_291,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_17_289,refute_17_290]) ).
cnf(refute_17_292,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_17_293,plain,
( op1(e11,e10) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_17_291,refute_17_292]) ).
cnf(refute_17_294,plain,
op1(e10,e11) = op1(e12,op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e12,op1(e10,e13))) )],[refute_17_252,refute_17_293]) ).
cnf(refute_17_295,plain,
( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(canonicalize,[],[normalize_17_92]) ).
cnf(refute_17_296,plain,
op1(e10,e13) != op1(e13,e13),
inference(canonicalize,[],[normalize_17_93]) ).
cnf(refute_17_297,plain,
( op1(e10,e13) != e10
| op1(e13,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_17_298,plain,
( op1(e10,e13) != e10
| op1(e10,e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_215,refute_17_297]) ).
cnf(refute_17_299,plain,
op1(e10,e13) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e13)) )],[refute_17_298,refute_17_296]) ).
cnf(refute_17_300,plain,
( op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e10) )],[refute_17_295,refute_17_299]) ).
cnf(refute_17_301,plain,
op1(e10,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_17_94]) ).
cnf(refute_17_302,plain,
( op1(e10,e13) != e11
| op1(e12,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_17_303,plain,
( op1(e10,e13) != e11
| op1(e10,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_17_226,refute_17_302]) ).
cnf(refute_17_304,plain,
op1(e10,e13) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e12,e13)) )],[refute_17_303,refute_17_301]) ).
cnf(refute_17_305,plain,
( op1(e10,e13) = e12
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_17_300,refute_17_304]) ).
cnf(refute_17_306,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e13) != e13
| op1(e10,e11) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) ),[1,1],$fot(e13)]]) ).
cnf(refute_17_307,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_17_305,refute_17_306]) ).
cnf(refute_17_308,plain,
( op1(e10,e11) = op1(e12,e13)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_17_294,refute_17_307]) ).
cnf(refute_17_309,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e12,e13) != e11
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e11) ),[0],$fot(op1(e12,e13))]]) ).
cnf(refute_17_310,plain,
( op1(e10,e11) != op1(e12,e13)
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_17_226,refute_17_309]) ).
cnf(refute_17_311,plain,
( op1(e10,e11) = e11
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e13)) )],[refute_17_308,refute_17_310]) ).
cnf(refute_17_312,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e13) != e12
| op1(e10,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) ),[1,1],$fot(e12)]]) ).
cnf(refute_17_313,plain,
( op1(e10,e11) != op1(e12,op1(e10,e13))
| op1(e10,e11) = op1(e12,e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_17_305,refute_17_312]) ).
cnf(refute_17_314,plain,
( op1(e10,e11) = op1(e12,e12)
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,op1(e10,e13))) )],[refute_17_294,refute_17_313]) ).
cnf(refute_17_315,plain,
( op1(e12,e12) = e10
| definitionFOFtoCNF_1 ),
inference(canonicalize,[],[normalize_17_95]) ).
cnf(refute_17_316,plain,
op1(e12,e12) = e10,
inference(resolve,[$cnf( definitionFOFtoCNF_1 )],[refute_17_315,refute_17_274]) ).
cnf(refute_17_317,plain,
( op1(e10,e11) != op1(e12,e12)
| op1(e12,e12) != e10
| op1(e10,e11) = e10 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),e10) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_17_318,plain,
( op1(e10,e11) != op1(e12,e12)
| op1(e10,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_17_316,refute_17_317]) ).
cnf(refute_17_319,plain,
( op1(e10,e11) = e10
| op1(e10,e13) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e12,e12)) )],[refute_17_314,refute_17_318]) ).
cnf(refute_17_320,plain,
op1(e10,e11) != op1(e11,e11),
inference(canonicalize,[],[normalize_17_96]) ).
cnf(refute_17_321,plain,
( op1(e10,e11) != e10
| op1(e11,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_17_322,plain,
( op1(e10,e11) != e10
| op1(e10,e11) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_17_275,refute_17_321]) ).
cnf(refute_17_323,plain,
op1(e10,e11) != e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e11)) )],[refute_17_322,refute_17_320]) ).
cnf(refute_17_324,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_17_319,refute_17_323]) ).
cnf(refute_17_325,plain,
( op1(e10,e13) != e12
| op1(e10,e13) != e13
| e13 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),e12) ),[0],$fot(e13)]]) ).
cnf(refute_17_326,plain,
( op1(e10,e13) != e12
| e13 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_17_324,refute_17_325]) ).
cnf(refute_17_327,plain,
( e13 = e12
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_17_311,refute_17_326]) ).
cnf(refute_17_328,plain,
e12 != e13,
inference(canonicalize,[],[normalize_17_97]) ).
cnf(refute_17_329,plain,
( e13 != e12
| e12 = e13 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e13)),bind(Y,$fot(e12))]]) ).
cnf(refute_17_330,plain,
e13 != e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_17_329,refute_17_328]) ).
cnf(refute_17_331,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_17_327,refute_17_330]) ).
cnf(refute_17_332,plain,
h12(op1(e10,e11)) = h12(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h12(op1(e10,e11)))]]) ).
cnf(refute_17_333,plain,
( h12(op1(e10,e11)) != h12(op1(e10,e11))
| op1(e10,e11) != e11
| h12(op1(e10,e11)) = h12(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e11)),h12(op1(e10,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_334,plain,
( op1(e10,e11) != e11
| h12(op1(e10,e11)) = h12(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),h12(op1(e10,e11))) )],[refute_17_332,refute_17_333]) ).
cnf(refute_17_335,plain,
h12(op1(e10,e11)) = h12(e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_17_331,refute_17_334]) ).
cnf(refute_17_336,plain,
op2(op2(e23,e20),e22) = op2(e23,op2(e20,e22)),
inference(canonicalize,[],[normalize_17_98]) ).
cnf(refute_17_337,plain,
h10(e11) = op2(e23,e20),
inference(canonicalize,[],[normalize_17_99]) ).
cnf(refute_17_338,plain,
( h10(e11) != op2(e23,e20)
| op2(e23,e20) = h10(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_17_339,plain,
op2(e23,e20) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e23,e20)) )],[refute_17_337,refute_17_338]) ).
cnf(refute_17_340,plain,
op2(op2(e23,e20),e22) = op2(op2(e23,e20),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e20),e22))]]) ).
cnf(refute_17_341,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e22) != op2(op2(e23,e20),e22)
| op2(op2(e23,e20),e22) = op2(h10(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e22),op2(op2(e23,e20),e22)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_17_342,plain,
( op2(e23,e20) != h10(e11)
| op2(op2(e23,e20),e22) = op2(h10(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e22),op2(op2(e23,e20),e22)) )],[refute_17_340,refute_17_341]) ).
cnf(refute_17_343,plain,
op2(op2(e23,e20),e22) = op2(h10(e11),e22),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_17_339,refute_17_342]) ).
cnf(refute_17_344,plain,
( op2(op2(e23,e20),e22) != op2(e23,op2(e20,e22))
| op2(op2(e23,e20),e22) != op2(h10(e11),e22)
| op2(h10(e11),e22) = op2(e23,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e22),op2(e23,op2(e20,e22))) ),[0],$fot(op2(h10(e11),e22))]]) ).
cnf(refute_17_345,plain,
( op2(op2(e23,e20),e22) != op2(e23,op2(e20,e22))
| op2(h10(e11),e22) = op2(e23,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e22),op2(h10(e11),e22)) )],[refute_17_343,refute_17_344]) ).
cnf(refute_17_346,plain,
op2(e23,op2(e20,e22)) = op2(e23,op2(e20,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e20,e22)))]]) ).
cnf(refute_17_347,plain,
( op2(e20,e22) != h2(e11)
| op2(e23,op2(e20,e22)) != op2(e23,op2(e20,e22))
| op2(e23,op2(e20,e22)) = op2(e23,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e20,e22)),op2(e23,op2(e20,e22))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_17_348,plain,
( op2(e20,e22) != h2(e11)
| op2(e23,op2(e20,e22)) = op2(e23,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e22)),op2(e23,op2(e20,e22))) )],[refute_17_346,refute_17_347]) ).
cnf(refute_17_349,plain,
op2(e23,op2(e20,e22)) = op2(e23,h2(e11)),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_17_104,refute_17_348]) ).
cnf(refute_17_350,plain,
( op2(e23,op2(e20,e22)) != op2(e23,h2(e11))
| op2(h10(e11),e22) != op2(e23,op2(e20,e22))
| op2(h10(e11),e22) = op2(e23,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e22),op2(e23,op2(e20,e22))) ),[1],$fot(op2(e23,h2(e11)))]]) ).
cnf(refute_17_351,plain,
( op2(h10(e11),e22) != op2(e23,op2(e20,e22))
| op2(h10(e11),e22) = op2(e23,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e22)),op2(e23,h2(e11))) )],[refute_17_349,refute_17_350]) ).
cnf(refute_17_352,plain,
( op2(op2(e23,e20),e22) != op2(e23,op2(e20,e22))
| op2(h10(e11),e22) = op2(e23,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e22),op2(e23,op2(e20,e22))) )],[refute_17_345,refute_17_351]) ).
cnf(refute_17_353,plain,
op2(h10(e11),e22) = op2(e23,h2(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e22),op2(e23,op2(e20,e22))) )],[refute_17_336,refute_17_352]) ).
cnf(refute_17_354,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_17_100]) ).
cnf(refute_17_355,plain,
h3(e11) = op2(e20,e23),
inference(canonicalize,[],[normalize_17_101]) ).
cnf(refute_17_356,plain,
( h3(e11) != op2(e20,e23)
| op2(e20,e23) = h3(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h3(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_357,plain,
op2(e20,e23) = h3(e11),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_17_355,refute_17_356]) ).
cnf(refute_17_358,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_17_359,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h3(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h3(e11))]]) ).
cnf(refute_17_360,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e20,e23),e22) = op2(h3(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_17_358,refute_17_359]) ).
cnf(refute_17_361,plain,
op2(op2(e20,e23),e22) = op2(h3(e11),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_17_357,refute_17_360]) ).
cnf(refute_17_362,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) != op2(h3(e11),e22)
| op2(h3(e11),e22) = op2(e20,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[0],$fot(op2(h3(e11),e22))]]) ).
cnf(refute_17_363,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(h3(e11),e22) = op2(e20,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h3(e11),e22)) )],[refute_17_361,refute_17_362]) ).
cnf(refute_17_364,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_17_365,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != h12(e11)
| op2(e20,op2(e23,e22)) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(h12(e11))]]) ).
cnf(refute_17_366,plain,
( op2(e23,e22) != h12(e11)
| op2(e20,op2(e23,e22)) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_17_364,refute_17_365]) ).
cnf(refute_17_367,plain,
op2(e20,op2(e23,e22)) = op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_17_59,refute_17_366]) ).
cnf(refute_17_368,plain,
( op2(e20,op2(e23,e22)) != op2(e20,h12(e11))
| op2(h3(e11),e22) != op2(e20,op2(e23,e22))
| op2(h3(e11),e22) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,h12(e11)))]]) ).
cnf(refute_17_369,plain,
( op2(h3(e11),e22) != op2(e20,op2(e23,e22))
| op2(h3(e11),e22) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,h12(e11))) )],[refute_17_367,refute_17_368]) ).
cnf(refute_17_370,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(h3(e11),e22) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e22),op2(e20,op2(e23,e22))) )],[refute_17_363,refute_17_369]) ).
cnf(refute_17_371,plain,
op2(h3(e11),e22) = op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_17_354,refute_17_370]) ).
cnf(refute_17_372,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_17_102]) ).
cnf(refute_17_373,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_17_374,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_375,plain,
( op2(e23,e23) != e20
| op2(op2(e23,e23),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_17_373,refute_17_374]) ).
cnf(refute_17_376,plain,
op2(op2(e23,e23),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_64,refute_17_375]) ).
cnf(refute_17_377,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e20,e23)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(op2(e23,e23),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h3(e11)))]]) ).
cnf(refute_17_378,plain,
( op2(e20,e23) != h3(e11)
| op2(op2(e23,e23),e23) = h3(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e20,e23)) )],[refute_17_376,refute_17_377]) ).
cnf(refute_17_379,plain,
op2(op2(e23,e23),e23) = h3(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h3(e11)) )],[refute_17_357,refute_17_378]) ).
cnf(refute_17_380,plain,
( op2(op2(e23,e23),e23) != h3(e11)
| op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(h3(e11))]]) ).
cnf(refute_17_381,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),h3(e11)) )],[refute_17_379,refute_17_380]) ).
cnf(refute_17_382,plain,
op2(e23,op2(e23,e23)) = op2(e23,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_17_383,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_384,plain,
( op2(e23,e23) != e20
| op2(e23,op2(e23,e23)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,op2(e23,e23))) )],[refute_17_382,refute_17_383]) ).
cnf(refute_17_385,plain,
op2(e23,op2(e23,e23)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_64,refute_17_384]) ).
cnf(refute_17_386,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) != op2(e23,e20)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_17_387,plain,
( op2(e23,e20) != h10(e11)
| op2(e23,op2(e23,e23)) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),op2(e23,e20)) )],[refute_17_385,refute_17_386]) ).
cnf(refute_17_388,plain,
op2(e23,op2(e23,e23)) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e23,e20),h10(e11)) )],[refute_17_339,refute_17_387]) ).
cnf(refute_17_389,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) != h10(e11)
| h3(e11) = h10(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),h10(e11)) ),[0],$fot(op2(e23,op2(e23,e23)))]]) ).
cnf(refute_17_390,plain,
( h3(e11) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h10(e11)) )],[refute_17_388,refute_17_389]) ).
cnf(refute_17_391,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| h3(e11) = h10(e11) ),
inference(resolve,[$cnf( $equal(h3(e11),op2(e23,op2(e23,e23))) )],[refute_17_381,refute_17_390]) ).
cnf(refute_17_392,plain,
h3(e11) = h10(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_17_372,refute_17_391]) ).
cnf(refute_17_393,plain,
op2(h3(e11),e22) = op2(h3(e11),e22),
introduced(tautology,[refl,[$fot(op2(h3(e11),e22))]]) ).
cnf(refute_17_394,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e22) != op2(h3(e11),e22)
| op2(h3(e11),e22) = op2(h10(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e22),op2(h3(e11),e22)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_17_395,plain,
( h3(e11) != h10(e11)
| op2(h3(e11),e22) = op2(h10(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e22),op2(h3(e11),e22)) )],[refute_17_393,refute_17_394]) ).
cnf(refute_17_396,plain,
op2(h3(e11),e22) = op2(h10(e11),e22),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_17_392,refute_17_395]) ).
cnf(refute_17_397,plain,
( op2(h10(e11),e22) != op2(e23,h2(e11))
| op2(h3(e11),e22) != op2(h10(e11),e22)
| op2(h3(e11),e22) = op2(e23,h2(e11)) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h3(e11),e22))),bind(Y,$fot(op2(h10(e11),e22))),bind(Z,$fot(op2(e23,h2(e11))))]]) ).
cnf(refute_17_398,plain,
( op2(h10(e11),e22) != op2(e23,h2(e11))
| op2(h3(e11),e22) = op2(e23,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e22),op2(h10(e11),e22)) )],[refute_17_396,refute_17_397]) ).
cnf(refute_17_399,plain,
op2(h3(e11),e22) = op2(e23,h2(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e22),op2(e23,h2(e11))) )],[refute_17_353,refute_17_398]) ).
cnf(refute_17_400,plain,
( op2(h3(e11),e22) != op2(e20,h12(e11))
| op2(h3(e11),e22) != op2(e23,h2(e11))
| op2(e23,h2(e11)) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),e22),op2(e20,h12(e11))) ),[0],$fot(op2(e23,h2(e11)))]]) ).
cnf(refute_17_401,plain,
( op2(h3(e11),e22) != op2(e20,h12(e11))
| op2(e23,h2(e11)) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),e22),op2(e23,h2(e11))) )],[refute_17_399,refute_17_400]) ).
cnf(refute_17_402,plain,
op2(e23,h2(e11)) = op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(op2(h3(e11),e22),op2(e20,h12(e11))) )],[refute_17_371,refute_17_401]) ).
cnf(refute_17_403,plain,
( op2(e23,h2(e11)) != op2(e20,h12(e11))
| op2(h10(e11),e22) != op2(e23,h2(e11))
| op2(h10(e11),e22) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e22),op2(e23,h2(e11))) ),[1],$fot(op2(e20,h12(e11)))]]) ).
cnf(refute_17_404,plain,
( op2(h10(e11),e22) != op2(e23,h2(e11))
| op2(h10(e11),e22) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e11)),op2(e20,h12(e11))) )],[refute_17_402,refute_17_403]) ).
cnf(refute_17_405,plain,
op2(h10(e11),e22) = op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e22),op2(e23,h2(e11))) )],[refute_17_353,refute_17_404]) ).
cnf(refute_17_406,plain,
h12(op1(e10,e11)) = op2(h12(e10),h12(e11)),
inference(canonicalize,[],[normalize_17_103]) ).
cnf(refute_17_407,plain,
op2(h12(e10),h12(e11)) = op2(h12(e10),h12(e11)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e11)))]]) ).
cnf(refute_17_408,plain,
( h12(e10) != e20
| op2(h12(e10),h12(e11)) != op2(h12(e10),h12(e11))
| op2(h12(e10),h12(e11)) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e11)),op2(h12(e10),h12(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_409,plain,
( h12(e10) != e20
| op2(h12(e10),h12(e11)) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e11)),op2(h12(e10),h12(e11))) )],[refute_17_407,refute_17_408]) ).
cnf(refute_17_410,plain,
op2(h12(e10),h12(e11)) = op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_17_69,refute_17_409]) ).
cnf(refute_17_411,plain,
( h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| op2(h12(e10),h12(e11)) != op2(e20,h12(e11))
| h12(op1(e10,e11)) = op2(e20,h12(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e11)),op2(e20,h12(e11))) ),[0],$fot(op2(h12(e10),h12(e11)))]]) ).
cnf(refute_17_412,plain,
( h12(op1(e10,e11)) != op2(h12(e10),h12(e11))
| h12(op1(e10,e11)) = op2(e20,h12(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e11)),op2(e20,h12(e11))) )],[refute_17_410,refute_17_411]) ).
cnf(refute_17_413,plain,
h12(op1(e10,e11)) = op2(e20,h12(e11)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),op2(h12(e10),h12(e11))) )],[refute_17_406,refute_17_412]) ).
cnf(refute_17_414,plain,
( h12(op1(e10,e11)) != op2(e20,h12(e11))
| op2(e20,h12(e11)) = h12(op1(e10,e11)) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h12(op1(e10,e11)))),bind(Y,$fot(op2(e20,h12(e11))))]]) ).
cnf(refute_17_415,plain,
op2(e20,h12(e11)) = h12(op1(e10,e11)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),op2(e20,h12(e11))) )],[refute_17_413,refute_17_414]) ).
cnf(refute_17_416,plain,
( op2(e20,h12(e11)) != h12(op1(e10,e11))
| op2(h10(e11),e22) != op2(e20,h12(e11))
| op2(h10(e11),e22) = h12(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h10(e11),e22),op2(e20,h12(e11))) ),[1],$fot(h12(op1(e10,e11)))]]) ).
cnf(refute_17_417,plain,
( op2(h10(e11),e22) != op2(e20,h12(e11))
| op2(h10(e11),e22) = h12(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e11)),h12(op1(e10,e11))) )],[refute_17_415,refute_17_416]) ).
cnf(refute_17_418,plain,
op2(h10(e11),e22) = h12(op1(e10,e11)),
inference(resolve,[$cnf( $equal(op2(h10(e11),e22),op2(e20,h12(e11))) )],[refute_17_405,refute_17_417]) ).
cnf(refute_17_419,plain,
( h12(op1(e10,e11)) != h12(e11)
| op2(h10(e11),e22) != h12(op1(e10,e11))
| op2(h10(e11),e22) = h12(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h10(e11),e22))),bind(Y,$fot(h12(op1(e10,e11)))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_17_420,plain,
( h12(op1(e10,e11)) != h12(e11)
| op2(h10(e11),e22) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(h10(e11),e22),h12(op1(e10,e11))) )],[refute_17_418,refute_17_419]) ).
cnf(refute_17_421,plain,
op2(h10(e11),e22) = h12(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),h12(e11)) )],[refute_17_335,refute_17_420]) ).
cnf(refute_17_422,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(canonicalize,[],[normalize_17_104]) ).
cnf(refute_17_423,plain,
op2(op2(e20,e22),e21) = op2(op2(e20,e22),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e21))]]) ).
cnf(refute_17_424,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e21) != op2(op2(e20,e22),e21)
| op2(op2(e20,e22),e21) = op2(h2(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_17_425,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e21) = op2(h2(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) )],[refute_17_423,refute_17_424]) ).
cnf(refute_17_426,plain,
op2(op2(e20,e22),e21) = op2(h2(e11),e21),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_17_104,refute_17_425]) ).
cnf(refute_17_427,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) != op2(h2(e11),e21)
| op2(h2(e11),e21) = op2(e20,op2(e22,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) ),[0],$fot(op2(h2(e11),e21))]]) ).
cnf(refute_17_428,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(h2(e11),e21) = op2(e20,op2(e22,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(h2(e11),e21)) )],[refute_17_426,refute_17_427]) ).
cnf(refute_17_429,plain,
h8(e11) = op2(e22,e21),
inference(canonicalize,[],[normalize_17_105]) ).
cnf(refute_17_430,plain,
( h8(e11) != op2(e22,e21)
| op2(e22,e21) = h8(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h8(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_17_431,plain,
op2(e22,e21) = h8(e11),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_17_429,refute_17_430]) ).
cnf(refute_17_432,plain,
op2(e20,op2(e22,e21)) = op2(e20,op2(e22,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e21)))]]) ).
cnf(refute_17_433,plain,
( op2(e20,op2(e22,e21)) != op2(e20,op2(e22,e21))
| op2(e22,e21) != h8(e11)
| op2(e20,op2(e22,e21)) = op2(e20,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e21)),op2(e20,op2(e22,e21))) ),[1,1],$fot(h8(e11))]]) ).
cnf(refute_17_434,plain,
( op2(e22,e21) != h8(e11)
| op2(e20,op2(e22,e21)) = op2(e20,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e21)),op2(e20,op2(e22,e21))) )],[refute_17_432,refute_17_433]) ).
cnf(refute_17_435,plain,
op2(e20,op2(e22,e21)) = op2(e20,h8(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_17_431,refute_17_434]) ).
cnf(refute_17_436,plain,
( op2(e20,op2(e22,e21)) != op2(e20,h8(e11))
| op2(h2(e11),e21) != op2(e20,op2(e22,e21))
| op2(h2(e11),e21) = op2(e20,h8(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e21),op2(e20,op2(e22,e21))) ),[1],$fot(op2(e20,h8(e11)))]]) ).
cnf(refute_17_437,plain,
( op2(h2(e11),e21) != op2(e20,op2(e22,e21))
| op2(h2(e11),e21) = op2(e20,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e21)),op2(e20,h8(e11))) )],[refute_17_435,refute_17_436]) ).
cnf(refute_17_438,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(h2(e11),e21) = op2(e20,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(e20,op2(e22,e21))) )],[refute_17_428,refute_17_437]) ).
cnf(refute_17_439,plain,
op2(h2(e11),e21) = op2(e20,h8(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_17_422,refute_17_438]) ).
cnf(refute_17_440,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_17_106]) ).
cnf(refute_17_441,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_17_442,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(h12(e10))]]) ).
cnf(refute_17_443,plain,
( op2(e22,e22) != h12(e10)
| op2(op2(e22,e22),e23) = op2(h12(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_17_441,refute_17_442]) ).
cnf(refute_17_444,plain,
op2(op2(e22,e22),e23) = op2(h12(e10),e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),h12(e10)) )],[refute_17_27,refute_17_443]) ).
cnf(refute_17_445,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(op2(e22,e22),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(op2(h12(e10),e23))]]) ).
cnf(refute_17_446,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(h12(e10),e23)) )],[refute_17_444,refute_17_445]) ).
cnf(refute_17_447,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_17_448,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_449,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_17_447,refute_17_448]) ).
cnf(refute_17_450,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_116,refute_17_449]) ).
cnf(refute_17_451,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e22,op2(e22,e23)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h8(e11)))]]) ).
cnf(refute_17_452,plain,
( op2(e22,e21) != h8(e11)
| op2(e22,op2(e22,e23)) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_17_450,refute_17_451]) ).
cnf(refute_17_453,plain,
op2(e22,op2(e22,e23)) = h8(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h8(e11)) )],[refute_17_431,refute_17_452]) ).
cnf(refute_17_454,plain,
( op2(e22,op2(e22,e23)) != h8(e11)
| op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) ),[1],$fot(h8(e11))]]) ).
cnf(refute_17_455,plain,
( op2(h12(e10),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),h8(e11)) )],[refute_17_453,refute_17_454]) ).
cnf(refute_17_456,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| op2(h12(e10),e23) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e22,op2(e22,e23))) )],[refute_17_446,refute_17_455]) ).
cnf(refute_17_457,plain,
op2(h12(e10),e23) = h8(e11),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_17_440,refute_17_456]) ).
cnf(refute_17_458,plain,
( h3(e11) != h10(e11)
| h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),op2(e20,e23)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_17_459,plain,
( h3(e11) != op2(e20,e23)
| h10(e11) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h3(e11),h10(e11)) )],[refute_17_392,refute_17_458]) ).
cnf(refute_17_460,plain,
h10(e11) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h3(e11),op2(e20,e23)) )],[refute_17_355,refute_17_459]) ).
cnf(refute_17_461,plain,
( h10(e11) != op2(e20,e23)
| op2(e20,e23) = h10(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_462,plain,
op2(e20,e23) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,e23)) )],[refute_17_460,refute_17_461]) ).
cnf(refute_17_463,plain,
op2(h12(e10),e23) = op2(h12(e10),e23),
introduced(tautology,[refl,[$fot(op2(h12(e10),e23))]]) ).
cnf(refute_17_464,plain,
( h12(e10) != e20
| op2(h12(e10),e23) != op2(h12(e10),e23)
| op2(h12(e10),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_465,plain,
( h12(e10) != e20
| op2(h12(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(h12(e10),e23)) )],[refute_17_463,refute_17_464]) ).
cnf(refute_17_466,plain,
op2(h12(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_17_69,refute_17_465]) ).
cnf(refute_17_467,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) != op2(e20,e23)
| op2(h12(e10),e23) = h10(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h12(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_17_468,plain,
( op2(e20,e23) != h10(e11)
| op2(h12(e10),e23) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),op2(e20,e23)) )],[refute_17_466,refute_17_467]) ).
cnf(refute_17_469,plain,
op2(h12(e10),e23) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e20,e23),h10(e11)) )],[refute_17_462,refute_17_468]) ).
cnf(refute_17_470,plain,
( op2(h12(e10),e23) != h10(e11)
| op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_17_471,plain,
( op2(h12(e10),e23) != h8(e11)
| h10(e11) = h8(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h10(e11)) )],[refute_17_469,refute_17_470]) ).
cnf(refute_17_472,plain,
h10(e11) = h8(e11),
inference(resolve,[$cnf( $equal(op2(h12(e10),e23),h8(e11)) )],[refute_17_457,refute_17_471]) ).
cnf(refute_17_473,plain,
( h10(e11) != h8(e11)
| h8(e11) = h10(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h8(e11)))]]) ).
cnf(refute_17_474,plain,
h8(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h8(e11)) )],[refute_17_472,refute_17_473]) ).
cnf(refute_17_475,plain,
op2(e20,h8(e11)) = op2(e20,h8(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h8(e11)))]]) ).
cnf(refute_17_476,plain,
( h8(e11) != h10(e11)
| op2(e20,h8(e11)) != op2(e20,h8(e11))
| op2(e20,h8(e11)) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h8(e11)),op2(e20,h8(e11))) ),[1,1],$fot(h10(e11))]]) ).
cnf(refute_17_477,plain,
( h8(e11) != h10(e11)
| op2(e20,h8(e11)) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h8(e11)),op2(e20,h8(e11))) )],[refute_17_475,refute_17_476]) ).
cnf(refute_17_478,plain,
op2(e20,h8(e11)) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_17_474,refute_17_477]) ).
cnf(refute_17_479,plain,
( op2(e20,h8(e11)) != op2(e20,h10(e11))
| op2(h2(e11),e21) != op2(e20,h8(e11))
| op2(h2(e11),e21) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e21),op2(e20,h8(e11))) ),[1],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_17_480,plain,
( op2(h2(e11),e21) != op2(e20,h8(e11))
| op2(h2(e11),e21) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h8(e11)),op2(e20,h10(e11))) )],[refute_17_478,refute_17_479]) ).
cnf(refute_17_481,plain,
op2(h2(e11),e21) = op2(e20,h10(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(e20,h8(e11))) )],[refute_17_439,refute_17_480]) ).
cnf(refute_17_482,plain,
( h8(e11) != h10(e11)
| h8(e11) != op2(e22,e21)
| h10(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h8(e11),op2(e22,e21)) ),[0],$fot(h10(e11))]]) ).
cnf(refute_17_483,plain,
( h8(e11) != op2(e22,e21)
| h10(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h8(e11),h10(e11)) )],[refute_17_474,refute_17_482]) ).
cnf(refute_17_484,plain,
h10(e11) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h8(e11),op2(e22,e21)) )],[refute_17_429,refute_17_483]) ).
cnf(refute_17_485,plain,
( h10(e11) != op2(e22,e21)
| op2(e22,e21) = h10(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_17_486,plain,
op2(e22,e21) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),op2(e22,e21)) )],[refute_17_484,refute_17_485]) ).
cnf(refute_17_487,plain,
h12(op1(e10,e13)) = op2(h12(e10),h12(e13)),
inference(canonicalize,[],[normalize_17_107]) ).
cnf(refute_17_488,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),h12(e13)),
introduced(tautology,[refl,[$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_17_489,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_17_490,plain,
( h12(e13) != e22
| op2(h12(e10),h12(e13)) = op2(h12(e10),e22) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),h12(e13))) )],[refute_17_488,refute_17_489]) ).
cnf(refute_17_491,plain,
op2(h12(e10),h12(e13)) = op2(h12(e10),e22),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_17_44,refute_17_490]) ).
cnf(refute_17_492,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) != op2(h12(e10),e22)
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h12(e10),h12(e13)))),bind(Y,$fot(op2(h12(e10),e22))),bind(Z,$fot(op2(e22,h12(e10))))]]) ).
cnf(refute_17_493,plain,
( op2(h12(e10),e22) != op2(e22,h12(e10))
| op2(h12(e10),h12(e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(h12(e10),e22)) )],[refute_17_491,refute_17_492]) ).
cnf(refute_17_494,plain,
op2(h12(e10),h12(e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(op2(h12(e10),e22),op2(e22,h12(e10))) )],[refute_17_142,refute_17_493]) ).
cnf(refute_17_495,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| op2(h12(e10),h12(e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) ),[0],$fot(op2(h12(e10),h12(e13)))]]) ).
cnf(refute_17_496,plain,
( h12(op1(e10,e13)) != op2(h12(e10),h12(e13))
| h12(op1(e10,e13)) = op2(e22,h12(e10)) ),
inference(resolve,[$cnf( $equal(op2(h12(e10),h12(e13)),op2(e22,h12(e10))) )],[refute_17_494,refute_17_495]) ).
cnf(refute_17_497,plain,
h12(op1(e10,e13)) = op2(e22,h12(e10)),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(h12(e10),h12(e13))) )],[refute_17_487,refute_17_496]) ).
cnf(refute_17_498,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| op2(e22,h12(e10)) != h6(e11)
| h12(op1(e10,e13)) = h6(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),h6(e11)) ),[0],$fot(op2(e22,h12(e10)))]]) ).
cnf(refute_17_499,plain,
( h12(op1(e10,e13)) != op2(e22,h12(e10))
| h12(op1(e10,e13)) = h6(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,h12(e10)),h6(e11)) )],[refute_17_189,refute_17_498]) ).
cnf(refute_17_500,plain,
h12(op1(e10,e13)) = h6(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),op2(e22,h12(e10))) )],[refute_17_497,refute_17_499]) ).
cnf(refute_17_501,plain,
( h12(op1(e10,e13)) != h6(e11)
| h6(e11) != h2(e11)
| h12(op1(e10,e13)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e10,e13)),h2(e11)) ),[0],$fot(h6(e11))]]) ).
cnf(refute_17_502,plain,
( h12(op1(e10,e13)) != h6(e11)
| h12(op1(e10,e13)) = h2(e11) ),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_17_195,refute_17_501]) ).
cnf(refute_17_503,plain,
h12(op1(e10,e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h6(e11)) )],[refute_17_500,refute_17_502]) ).
cnf(refute_17_504,plain,
( h12(op1(e10,e13)) != h2(e11)
| op1(e10,e13) != e13
| h12(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) ),[0,0],$fot(e13)]]) ).
cnf(refute_17_505,plain,
( h12(op1(e10,e13)) != h2(e11)
| h12(e13) = h2(e11)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_17_305,refute_17_504]) ).
cnf(refute_17_506,plain,
( h12(e13) = h2(e11)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e13)),h2(e11)) )],[refute_17_503,refute_17_505]) ).
cnf(refute_17_507,plain,
( h12(e13) != e22
| h12(e13) != h2(e11)
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(e13),h2(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_17_508,plain,
( h12(e13) != h2(e11)
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_17_44,refute_17_507]) ).
cnf(refute_17_509,plain,
( e22 = h2(e11)
| op1(e10,e13) = e12 ),
inference(resolve,[$cnf( $equal(h12(e13),h2(e11)) )],[refute_17_506,refute_17_508]) ).
cnf(refute_17_510,plain,
( e13 = e12
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e12) )],[refute_17_509,refute_17_326]) ).
cnf(refute_17_511,plain,
e22 = h2(e11),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_17_510,refute_17_330]) ).
cnf(refute_17_512,plain,
( e22 != h2(e11)
| h2(e11) = e22 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e22)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_17_513,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_17_511,refute_17_512]) ).
cnf(refute_17_514,plain,
op2(h2(e11),e21) = op2(h2(e11),e21),
introduced(tautology,[refl,[$fot(op2(h2(e11),e21))]]) ).
cnf(refute_17_515,plain,
( h2(e11) != e22
| op2(h2(e11),e21) != op2(h2(e11),e21)
| op2(h2(e11),e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e21),op2(h2(e11),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_516,plain,
( h2(e11) != e22
| op2(h2(e11),e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(h2(e11),e21)) )],[refute_17_514,refute_17_515]) ).
cnf(refute_17_517,plain,
op2(h2(e11),e21) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_17_513,refute_17_516]) ).
cnf(refute_17_518,plain,
( op2(e22,e21) != h10(e11)
| op2(h2(e11),e21) != op2(e22,e21)
| op2(h2(e11),e21) = h10(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h2(e11),e21))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(h10(e11)))]]) ).
cnf(refute_17_519,plain,
( op2(e22,e21) != h10(e11)
| op2(h2(e11),e21) = h10(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(e22,e21)) )],[refute_17_517,refute_17_518]) ).
cnf(refute_17_520,plain,
op2(h2(e11),e21) = h10(e11),
inference(resolve,[$cnf( $equal(op2(e22,e21),h10(e11)) )],[refute_17_486,refute_17_519]) ).
cnf(refute_17_521,plain,
( op2(h2(e11),e21) != h10(e11)
| op2(h2(e11),e21) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e21),op2(e20,h10(e11))) ),[0],$fot(h10(e11))]]) ).
cnf(refute_17_522,plain,
( op2(h2(e11),e21) != op2(e20,h10(e11))
| h10(e11) = op2(e20,h10(e11)) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),h10(e11)) )],[refute_17_520,refute_17_521]) ).
cnf(refute_17_523,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_17_108]) ).
cnf(refute_17_524,plain,
op2(op2(e21,e23),e21) = op2(op2(e21,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e21))]]) ).
cnf(refute_17_525,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e21) != op2(op2(e21,e23),e21)
| op2(op2(e21,e23),e21) = op2(h6(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) ),[1,0],$fot(h6(e11))]]) ).
cnf(refute_17_526,plain,
( op2(e21,e23) != h6(e11)
| op2(op2(e21,e23),e21) = op2(h6(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) )],[refute_17_524,refute_17_525]) ).
cnf(refute_17_527,plain,
op2(op2(e21,e23),e21) = op2(h6(e11),e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_17_83,refute_17_526]) ).
cnf(refute_17_528,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) != op2(h6(e11),e21)
| op2(h6(e11),e21) = op2(e21,op2(e23,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[0],$fot(op2(h6(e11),e21))]]) ).
cnf(refute_17_529,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,op2(e23,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h6(e11),e21)) )],[refute_17_527,refute_17_528]) ).
cnf(refute_17_530,plain,
h11(e11) = op2(e23,e21),
inference(canonicalize,[],[normalize_17_109]) ).
cnf(refute_17_531,plain,
( h11(e11) != op2(e23,e21)
| op2(e23,e21) = h11(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h11(e11))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_17_532,plain,
op2(e23,e21) = h11(e11),
inference(resolve,[$cnf( $equal(h11(e11),op2(e23,e21)) )],[refute_17_530,refute_17_531]) ).
cnf(refute_17_533,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_17_534,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != h11(e11)
| op2(e21,op2(e23,e21)) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(h11(e11))]]) ).
cnf(refute_17_535,plain,
( op2(e23,e21) != h11(e11)
| op2(e21,op2(e23,e21)) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_17_533,refute_17_534]) ).
cnf(refute_17_536,plain,
op2(e21,op2(e23,e21)) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_17_532,refute_17_535]) ).
cnf(refute_17_537,plain,
( op2(e21,op2(e23,e21)) != op2(e21,h11(e11))
| op2(h6(e11),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_17_538,plain,
( op2(h6(e11),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,h11(e11))) )],[refute_17_536,refute_17_537]) ).
cnf(refute_17_539,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(h6(e11),e21) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e21,op2(e23,e21))) )],[refute_17_529,refute_17_538]) ).
cnf(refute_17_540,plain,
op2(h6(e11),e21) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_17_523,refute_17_539]) ).
cnf(refute_17_541,plain,
op2(h6(e11),e21) = op2(h6(e11),e21),
introduced(tautology,[refl,[$fot(op2(h6(e11),e21))]]) ).
cnf(refute_17_542,plain,
( h6(e11) != h2(e11)
| op2(h6(e11),e21) != op2(h6(e11),e21)
| op2(h6(e11),e21) = op2(h2(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),op2(h6(e11),e21)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_17_543,plain,
( h6(e11) != h2(e11)
| op2(h6(e11),e21) = op2(h2(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(h6(e11),e21)) )],[refute_17_541,refute_17_542]) ).
cnf(refute_17_544,plain,
op2(h6(e11),e21) = op2(h2(e11),e21),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_17_195,refute_17_543]) ).
cnf(refute_17_545,plain,
( op2(h2(e11),e21) != op2(e20,h8(e11))
| op2(h6(e11),e21) != op2(h2(e11),e21)
| op2(h6(e11),e21) = op2(e20,h8(e11)) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h6(e11),e21))),bind(Y,$fot(op2(h2(e11),e21))),bind(Z,$fot(op2(e20,h8(e11))))]]) ).
cnf(refute_17_546,plain,
( op2(h2(e11),e21) != op2(e20,h8(e11))
| op2(h6(e11),e21) = op2(e20,h8(e11)) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(h2(e11),e21)) )],[refute_17_544,refute_17_545]) ).
cnf(refute_17_547,plain,
op2(h6(e11),e21) = op2(e20,h8(e11)),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(e20,h8(e11))) )],[refute_17_439,refute_17_546]) ).
cnf(refute_17_548,plain,
( op2(h6(e11),e21) != op2(e20,h8(e11))
| op2(h6(e11),e21) != op2(e21,h11(e11))
| op2(e20,h8(e11)) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h6(e11),e21),op2(e21,h11(e11))) ),[0],$fot(op2(e20,h8(e11)))]]) ).
cnf(refute_17_549,plain,
( op2(h6(e11),e21) != op2(e21,h11(e11))
| op2(e20,h8(e11)) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e20,h8(e11))) )],[refute_17_547,refute_17_548]) ).
cnf(refute_17_550,plain,
op2(e20,h8(e11)) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(h6(e11),e21),op2(e21,h11(e11))) )],[refute_17_540,refute_17_549]) ).
cnf(refute_17_551,plain,
( op2(e20,h8(e11)) != op2(e20,h10(e11))
| op2(e20,h8(e11)) != op2(e21,h11(e11))
| op2(e20,h10(e11)) = op2(e21,h11(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h8(e11)),op2(e21,h11(e11))) ),[0],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_17_552,plain,
( op2(e20,h8(e11)) != op2(e21,h11(e11))
| op2(e20,h10(e11)) = op2(e21,h11(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h8(e11)),op2(e20,h10(e11))) )],[refute_17_478,refute_17_551]) ).
cnf(refute_17_553,plain,
op2(e20,h10(e11)) = op2(e21,h11(e11)),
inference(resolve,[$cnf( $equal(op2(e20,h8(e11)),op2(e21,h11(e11))) )],[refute_17_550,refute_17_552]) ).
cnf(refute_17_554,plain,
h12(op1(e11,e12)) = op2(h12(e11),h12(e12)),
inference(canonicalize,[],[normalize_17_110]) ).
cnf(refute_17_555,plain,
op2(op2(e23,e22),e23) = op2(e23,op2(e22,e23)),
inference(canonicalize,[],[normalize_17_111]) ).
cnf(refute_17_556,plain,
op2(op2(e23,e22),e23) = op2(op2(e23,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e23))]]) ).
cnf(refute_17_557,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) != op2(op2(e23,e22),e23)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) ),[1,0],$fot(h12(e11))]]) ).
cnf(refute_17_558,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e23) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(op2(e23,e22),e23)) )],[refute_17_556,refute_17_557]) ).
cnf(refute_17_559,plain,
op2(op2(e23,e22),e23) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_17_59,refute_17_558]) ).
cnf(refute_17_560,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(op2(e23,e22),e23) != op2(h12(e11),e23)
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) ),[0],$fot(op2(h12(e11),e23))]]) ).
cnf(refute_17_561,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = op2(e23,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(h12(e11),e23)) )],[refute_17_559,refute_17_560]) ).
cnf(refute_17_562,plain,
op2(e23,op2(e22,e23)) = op2(e23,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e23)))]]) ).
cnf(refute_17_563,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) != op2(e23,op2(e22,e23))
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_564,plain,
( op2(e22,e23) != e21
| op2(e23,op2(e22,e23)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,op2(e22,e23))) )],[refute_17_562,refute_17_563]) ).
cnf(refute_17_565,plain,
op2(e23,op2(e22,e23)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_116,refute_17_564]) ).
cnf(refute_17_566,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) != op2(e23,e21)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e23,op2(e22,e23)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_17_567,plain,
( op2(e23,e21) != h11(e11)
| op2(e23,op2(e22,e23)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),op2(e23,e21)) )],[refute_17_565,refute_17_566]) ).
cnf(refute_17_568,plain,
op2(e23,op2(e22,e23)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_17_532,refute_17_567]) ).
cnf(refute_17_569,plain,
( op2(e23,op2(e22,e23)) != h11(e11)
| op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) ),[1],$fot(h11(e11))]]) ).
cnf(refute_17_570,plain,
( op2(h12(e11),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e23)),h11(e11)) )],[refute_17_568,refute_17_569]) ).
cnf(refute_17_571,plain,
( op2(op2(e23,e22),e23) != op2(e23,op2(e22,e23))
| op2(h12(e11),e23) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),op2(e23,op2(e22,e23))) )],[refute_17_561,refute_17_570]) ).
cnf(refute_17_572,plain,
op2(h12(e11),e23) = h11(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e23),op2(e23,op2(e22,e23))) )],[refute_17_555,refute_17_571]) ).
cnf(refute_17_573,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),h12(e12)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e12)))]]) ).
cnf(refute_17_574,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) != op2(h12(e11),h12(e12))
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_575,plain,
( h12(e12) != e23
| op2(h12(e11),h12(e12)) = op2(h12(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),h12(e12))) )],[refute_17_573,refute_17_574]) ).
cnf(refute_17_576,plain,
op2(h12(e11),h12(e12)) = op2(h12(e11),e23),
inference(resolve,[$cnf( $equal(h12(e12),e23) )],[refute_17_40,refute_17_575]) ).
cnf(refute_17_577,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) != op2(h12(e11),e23)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h12(e11),h12(e12)))),bind(Y,$fot(op2(h12(e11),e23))),bind(Z,$fot(h11(e11)))]]) ).
cnf(refute_17_578,plain,
( op2(h12(e11),e23) != h11(e11)
| op2(h12(e11),h12(e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),op2(h12(e11),e23)) )],[refute_17_576,refute_17_577]) ).
cnf(refute_17_579,plain,
op2(h12(e11),h12(e12)) = h11(e11),
inference(resolve,[$cnf( $equal(op2(h12(e11),e23),h11(e11)) )],[refute_17_572,refute_17_578]) ).
cnf(refute_17_580,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| op2(h12(e11),h12(e12)) != h11(e11)
| h12(op1(e11,e12)) = h11(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e12)),h11(e11)) ),[0],$fot(op2(h12(e11),h12(e12)))]]) ).
cnf(refute_17_581,plain,
( h12(op1(e11,e12)) != op2(h12(e11),h12(e12))
| h12(op1(e11,e12)) = h11(e11) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e12)),h11(e11)) )],[refute_17_579,refute_17_580]) ).
cnf(refute_17_582,plain,
h12(op1(e11,e12)) = h11(e11),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),op2(h12(e11),h12(e12))) )],[refute_17_554,refute_17_581]) ).
cnf(refute_17_583,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_17_112]) ).
cnf(refute_17_584,plain,
op1(op1(e11,e11),e13) = op1(e11,op1(e11,e13)),
inference(canonicalize,[],[normalize_17_113]) ).
cnf(refute_17_585,plain,
op1(op1(e11,e11),e13) = op1(op1(e11,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e11),e13))]]) ).
cnf(refute_17_586,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) != op1(op1(e11,e11),e13)
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_587,plain,
( op1(e11,e11) != e10
| op1(op1(e11,e11),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(op1(e11,e11),e13)) )],[refute_17_585,refute_17_586]) ).
cnf(refute_17_588,plain,
op1(op1(e11,e11),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_17_275,refute_17_587]) ).
cnf(refute_17_589,plain,
( op1(op1(e11,e11),e13) != op1(e10,e13)
| op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_17_590,plain,
( op1(op1(e11,e11),e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e10,e13)) )],[refute_17_588,refute_17_589]) ).
cnf(refute_17_591,plain,
op1(e10,e13) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e11),e13),op1(e11,op1(e11,e13))) )],[refute_17_584,refute_17_590]) ).
cnf(refute_17_592,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_17_114]) ).
cnf(refute_17_593,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_17_594,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) != op1(op1(e11,e10),e12)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_17_595,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_17_593,refute_17_594]) ).
cnf(refute_17_596,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_17_291,refute_17_595]) ).
cnf(refute_17_597,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_17_598,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_17_596,refute_17_597]) ).
cnf(refute_17_599,plain,
op1(op1(e11,e10),e12) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_17_583,refute_17_598]) ).
cnf(refute_17_600,plain,
( op1(op1(e11,e10),e12) != op1(e10,op1(e11,e12))
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_17_601,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,op1(e11,e12))) )],[refute_17_599,refute_17_600]) ).
cnf(refute_17_602,plain,
op1(e10,op1(e11,e12)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_17_592,refute_17_601]) ).
cnf(refute_17_603,plain,
( op1(e10,op1(e11,e12)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,op1(e11,e12)))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_17_604,plain,
op1(e11,op1(e10,e12)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e11,op1(e10,e12))) )],[refute_17_602,refute_17_603]) ).
cnf(refute_17_605,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_17_115]) ).
cnf(refute_17_606,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_17_607,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_608,plain,
( op1(e12,e12) != e10
| op1(op1(e12,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_17_606,refute_17_607]) ).
cnf(refute_17_609,plain,
op1(op1(e12,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_17_316,refute_17_608]) ).
cnf(refute_17_610,plain,
( op1(op1(e12,e12),e12) != op1(e10,e12)
| op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_611,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e10,e12)) )],[refute_17_609,refute_17_610]) ).
cnf(refute_17_612,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_17_613,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_614,plain,
( op1(e12,e12) != e10
| op1(e12,op1(e12,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_17_612,refute_17_613]) ).
cnf(refute_17_615,plain,
op1(e12,op1(e12,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_17_316,refute_17_614]) ).
cnf(refute_17_616,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) != op1(e12,e10)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op1(e12,op1(e12,e12)))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_17_617,plain,
( op1(e12,e10) != op1(e11,e13)
| op1(e12,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e10)) )],[refute_17_615,refute_17_616]) ).
cnf(refute_17_618,plain,
op1(e12,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e11,e13)) )],[refute_17_242,refute_17_617]) ).
cnf(refute_17_619,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e11,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_17_620,plain,
( op1(e10,e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e11,e13)) )],[refute_17_618,refute_17_619]) ).
cnf(refute_17_621,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,op1(e12,e12))) )],[refute_17_611,refute_17_620]) ).
cnf(refute_17_622,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_17_605,refute_17_621]) ).
cnf(refute_17_623,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_17_624,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_17_622,refute_17_623]) ).
cnf(refute_17_625,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_17_626,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) ),[1,1],$fot(op1(e10,e12))]]) ).
cnf(refute_17_627,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_17_625,refute_17_626]) ).
cnf(refute_17_628,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_17_624,refute_17_627]) ).
cnf(refute_17_629,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op1(e11,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e12)))),bind(Z,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_17_630,plain,
( op1(e11,op1(e10,e12)) != op1(e10,op1(e11,e12))
| op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_17_628,refute_17_629]) ).
cnf(refute_17_631,plain,
op1(e11,op1(e11,e13)) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,op1(e11,e12))) )],[refute_17_604,refute_17_630]) ).
cnf(refute_17_632,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) != op1(e10,op1(e11,e12))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e10,op1(e11,e12))) ),[0],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_17_633,plain,
( op1(e10,e13) != op1(e11,op1(e11,e13))
| op1(e10,e13) = op1(e10,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e10,op1(e11,e12))) )],[refute_17_631,refute_17_632]) ).
cnf(refute_17_634,plain,
op1(e10,e13) = op1(e10,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,op1(e11,e13))) )],[refute_17_591,refute_17_633]) ).
cnf(refute_17_635,plain,
( op1(e10,e13) != op1(e10,op1(e11,e12))
| op1(e10,op1(e11,e12)) = op1(e10,e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e10,op1(e11,e12))))]]) ).
cnf(refute_17_636,plain,
op1(e10,op1(e11,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,op1(e11,e12))) )],[refute_17_634,refute_17_635]) ).
cnf(refute_17_637,plain,
( op1(e10,op1(e11,e12)) != op1(e10,e13)
| op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_17_638,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,e13)) )],[refute_17_636,refute_17_637]) ).
cnf(refute_17_639,plain,
op1(op1(e10,e11),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_17_583,refute_17_638]) ).
cnf(refute_17_640,plain,
op1(op1(e10,e11),e12) = op1(op1(e10,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e11),e12))]]) ).
cnf(refute_17_641,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) != op1(op1(e10,e11),e12)
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_642,plain,
( op1(e10,e11) != e11
| op1(op1(e10,e11),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(op1(e10,e11),e12)) )],[refute_17_640,refute_17_641]) ).
cnf(refute_17_643,plain,
op1(op1(e10,e11),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_17_331,refute_17_642]) ).
cnf(refute_17_644,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(op1(e10,e11),e12) != op1(e11,e12)
| op1(e11,e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_17_645,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(e11,e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e11,e12)) )],[refute_17_643,refute_17_644]) ).
cnf(refute_17_646,plain,
( op1(e10,e13) != e13
| op1(e11,e12) != op1(e10,e13)
| op1(e11,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e10,e13)) ),[1],$fot(e13)]]) ).
cnf(refute_17_647,plain,
( op1(e11,e12) != op1(e10,e13)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_17_324,refute_17_646]) ).
cnf(refute_17_648,plain,
( op1(op1(e10,e11),e12) != op1(e10,e13)
| op1(e11,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e10,e13)) )],[refute_17_645,refute_17_647]) ).
cnf(refute_17_649,plain,
op1(e11,e12) = e13,
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e13)) )],[refute_17_639,refute_17_648]) ).
cnf(refute_17_650,plain,
h12(op1(e11,e12)) = h12(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h12(op1(e11,e12)))]]) ).
cnf(refute_17_651,plain,
( h12(op1(e11,e12)) != h12(op1(e11,e12))
| op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_17_652,plain,
( op1(e11,e12) != e13
| h12(op1(e11,e12)) = h12(e13) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(op1(e11,e12))) )],[refute_17_650,refute_17_651]) ).
cnf(refute_17_653,plain,
h12(op1(e11,e12)) = h12(e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_17_649,refute_17_652]) ).
cnf(refute_17_654,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) != h12(e13)
| h12(op1(e11,e12)) = e22 ),
inference(subst,[],[refute_17_24:[bind(X,$fot(h12(op1(e11,e12)))),bind(Y,$fot(h12(e13))),bind(Z,$fot(e22))]]) ).
cnf(refute_17_655,plain,
( h12(e13) != e22
| h12(op1(e11,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h12(e13)) )],[refute_17_653,refute_17_654]) ).
cnf(refute_17_656,plain,
h12(op1(e11,e12)) = e22,
inference(resolve,[$cnf( $equal(h12(e13),e22) )],[refute_17_44,refute_17_655]) ).
cnf(refute_17_657,plain,
( h12(op1(e11,e12)) != e22
| h12(op1(e11,e12)) != h11(e11)
| e22 = h11(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h12(op1(e11,e12)),h11(e11)) ),[0],$fot(e22)]]) ).
cnf(refute_17_658,plain,
( h12(op1(e11,e12)) != h11(e11)
| e22 = h11(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),e22) )],[refute_17_656,refute_17_657]) ).
cnf(refute_17_659,plain,
e22 = h11(e11),
inference(resolve,[$cnf( $equal(h12(op1(e11,e12)),h11(e11)) )],[refute_17_582,refute_17_658]) ).
cnf(refute_17_660,plain,
( e22 != h11(e11)
| h11(e11) = e22 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e22)),bind(Y,$fot(h11(e11)))]]) ).
cnf(refute_17_661,plain,
h11(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h11(e11)) )],[refute_17_659,refute_17_660]) ).
cnf(refute_17_662,plain,
op2(e21,h11(e11)) = op2(e21,h11(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_17_663,plain,
( h11(e11) != e22
| op2(e21,h11(e11)) != op2(e21,h11(e11))
| op2(e21,h11(e11)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,h11(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_17_664,plain,
( h11(e11) != e22
| op2(e21,h11(e11)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,h11(e11))) )],[refute_17_662,refute_17_663]) ).
cnf(refute_17_665,plain,
op2(e21,h11(e11)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_17_661,refute_17_664]) ).
cnf(refute_17_666,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h11(e11)) != op2(e21,e22)
| op2(e21,h11(e11)) = h5(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e21,h11(e11)))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h5(e11)))]]) ).
cnf(refute_17_667,plain,
( op2(e21,e22) != h5(e11)
| op2(e21,h11(e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),op2(e21,e22)) )],[refute_17_665,refute_17_666]) ).
cnf(refute_17_668,plain,
op2(e21,h11(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e21,e22),h5(e11)) )],[refute_17_7,refute_17_667]) ).
cnf(refute_17_669,plain,
( op2(e20,h10(e11)) != op2(e21,h11(e11))
| op2(e21,h11(e11)) != h5(e11)
| op2(e20,h10(e11)) = h5(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,h10(e11)),h5(e11)) ),[0],$fot(op2(e21,h11(e11)))]]) ).
cnf(refute_17_670,plain,
( op2(e20,h10(e11)) != op2(e21,h11(e11))
| op2(e20,h10(e11)) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h11(e11)),h5(e11)) )],[refute_17_668,refute_17_669]) ).
cnf(refute_17_671,plain,
op2(e20,h10(e11)) = h5(e11),
inference(resolve,[$cnf( $equal(op2(e20,h10(e11)),op2(e21,h11(e11))) )],[refute_17_553,refute_17_670]) ).
cnf(refute_17_672,plain,
( h10(e11) != op2(e20,h10(e11))
| op2(e20,h10(e11)) != h5(e11)
| h10(e11) = h5(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h10(e11),h5(e11)) ),[0],$fot(op2(e20,h10(e11)))]]) ).
cnf(refute_17_673,plain,
( h10(e11) != op2(e20,h10(e11))
| h10(e11) = h5(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h10(e11)),h5(e11)) )],[refute_17_671,refute_17_672]) ).
cnf(refute_17_674,plain,
( op2(h2(e11),e21) != op2(e20,h10(e11))
| h10(e11) = h5(e11) ),
inference(resolve,[$cnf( $equal(h10(e11),op2(e20,h10(e11))) )],[refute_17_522,refute_17_673]) ).
cnf(refute_17_675,plain,
h10(e11) = h5(e11),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(e20,h10(e11))) )],[refute_17_481,refute_17_674]) ).
cnf(refute_17_676,plain,
( h10(e11) != h5(e11)
| h5(e11) = h10(e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h10(e11))),bind(Y,$fot(h5(e11)))]]) ).
cnf(refute_17_677,plain,
h5(e11) = h10(e11),
inference(resolve,[$cnf( $equal(h10(e11),h5(e11)) )],[refute_17_675,refute_17_676]) ).
cnf(refute_17_678,plain,
op2(h5(e11),e22) = op2(h5(e11),e22),
introduced(tautology,[refl,[$fot(op2(h5(e11),e22))]]) ).
cnf(refute_17_679,plain,
( h5(e11) != h10(e11)
| op2(h5(e11),e22) != op2(h5(e11),e22)
| op2(h5(e11),e22) = op2(h10(e11),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) ),[1,0],$fot(h10(e11))]]) ).
cnf(refute_17_680,plain,
( h5(e11) != h10(e11)
| op2(h5(e11),e22) = op2(h10(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(h5(e11),e22)) )],[refute_17_678,refute_17_679]) ).
cnf(refute_17_681,plain,
op2(h5(e11),e22) = op2(h10(e11),e22),
inference(resolve,[$cnf( $equal(h5(e11),h10(e11)) )],[refute_17_677,refute_17_680]) ).
cnf(refute_17_682,plain,
( op2(h10(e11),e22) != h12(e11)
| op2(h5(e11),e22) != op2(h10(e11),e22)
| op2(h5(e11),e22) = h12(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h5(e11),e22))),bind(Y,$fot(op2(h10(e11),e22))),bind(Z,$fot(h12(e11)))]]) ).
cnf(refute_17_683,plain,
( op2(h10(e11),e22) != h12(e11)
| op2(h5(e11),e22) = h12(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),op2(h10(e11),e22)) )],[refute_17_681,refute_17_682]) ).
cnf(refute_17_684,plain,
op2(h5(e11),e22) = h12(e11),
inference(resolve,[$cnf( $equal(op2(h10(e11),e22),h12(e11)) )],[refute_17_421,refute_17_683]) ).
cnf(refute_17_685,plain,
( op2(h5(e11),e22) != h1(e11)
| op2(h5(e11),e22) != h12(e11)
| h12(e11) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) ),[0],$fot(h12(e11))]]) ).
cnf(refute_17_686,plain,
( op2(h5(e11),e22) != h1(e11)
| h12(e11) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h12(e11)) )],[refute_17_684,refute_17_685]) ).
cnf(refute_17_687,plain,
h12(e11) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h5(e11),e22),h1(e11)) )],[refute_17_210,refute_17_686]) ).
cnf(refute_17_688,plain,
op2(op2(e23,e21),e23) = op2(e23,op2(e21,e23)),
inference(canonicalize,[],[normalize_17_116]) ).
cnf(refute_17_689,plain,
op2(op2(e23,e21),e23) = op2(op2(e23,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e23))]]) ).
cnf(refute_17_690,plain,
( op2(e23,e21) != h11(e11)
| op2(op2(e23,e21),e23) != op2(op2(e23,e21),e23)
| op2(op2(e23,e21),e23) = op2(h11(e11),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e23),op2(op2(e23,e21),e23)) ),[1,0],$fot(h11(e11))]]) ).
cnf(refute_17_691,plain,
( op2(e23,e21) != h11(e11)
| op2(op2(e23,e21),e23) = op2(h11(e11),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e23),op2(op2(e23,e21),e23)) )],[refute_17_689,refute_17_690]) ).
cnf(refute_17_692,plain,
op2(op2(e23,e21),e23) = op2(h11(e11),e23),
inference(resolve,[$cnf( $equal(op2(e23,e21),h11(e11)) )],[refute_17_532,refute_17_691]) ).
cnf(refute_17_693,plain,
( op2(op2(e23,e21),e23) != op2(e23,op2(e21,e23))
| op2(op2(e23,e21),e23) != op2(h11(e11),e23)
| op2(h11(e11),e23) = op2(e23,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e23),op2(e23,op2(e21,e23))) ),[0],$fot(op2(h11(e11),e23))]]) ).
cnf(refute_17_694,plain,
( op2(op2(e23,e21),e23) != op2(e23,op2(e21,e23))
| op2(h11(e11),e23) = op2(e23,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e23),op2(h11(e11),e23)) )],[refute_17_692,refute_17_693]) ).
cnf(refute_17_695,plain,
op2(e23,op2(e21,e23)) = op2(e23,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e23)))]]) ).
cnf(refute_17_696,plain,
( op2(e21,e23) != h6(e11)
| op2(e23,op2(e21,e23)) != op2(e23,op2(e21,e23))
| op2(e23,op2(e21,e23)) = op2(e23,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e23)),op2(e23,op2(e21,e23))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_17_697,plain,
( op2(e21,e23) != h6(e11)
| op2(e23,op2(e21,e23)) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e23)),op2(e23,op2(e21,e23))) )],[refute_17_695,refute_17_696]) ).
cnf(refute_17_698,plain,
op2(e23,op2(e21,e23)) = op2(e23,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e21,e23),h6(e11)) )],[refute_17_83,refute_17_697]) ).
cnf(refute_17_699,plain,
( op2(e23,op2(e21,e23)) != op2(e23,h6(e11))
| op2(h11(e11),e23) != op2(e23,op2(e21,e23))
| op2(h11(e11),e23) = op2(e23,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h11(e11),e23),op2(e23,op2(e21,e23))) ),[1],$fot(op2(e23,h6(e11)))]]) ).
cnf(refute_17_700,plain,
( op2(h11(e11),e23) != op2(e23,op2(e21,e23))
| op2(h11(e11),e23) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e23)),op2(e23,h6(e11))) )],[refute_17_698,refute_17_699]) ).
cnf(refute_17_701,plain,
( op2(op2(e23,e21),e23) != op2(e23,op2(e21,e23))
| op2(h11(e11),e23) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h11(e11),e23),op2(e23,op2(e21,e23))) )],[refute_17_694,refute_17_700]) ).
cnf(refute_17_702,plain,
op2(h11(e11),e23) = op2(e23,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e23),op2(e23,op2(e21,e23))) )],[refute_17_688,refute_17_701]) ).
cnf(refute_17_703,plain,
h12(op1(e11,e10)) = op2(h12(e11),h12(e10)),
inference(canonicalize,[],[normalize_17_117]) ).
cnf(refute_17_704,plain,
op2(op2(e23,e22),e20) = op2(e23,op2(e22,e20)),
inference(canonicalize,[],[normalize_17_118]) ).
cnf(refute_17_705,plain,
op2(op2(e23,e22),e20) = op2(op2(e23,e22),e20),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e20))]]) ).
cnf(refute_17_706,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e20) != op2(op2(e23,e22),e20)
| op2(op2(e23,e22),e20) = op2(h12(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e20),op2(op2(e23,e22),e20)) ),[1,0],$fot(h12(e11))]]) ).
cnf(refute_17_707,plain,
( op2(e23,e22) != h12(e11)
| op2(op2(e23,e22),e20) = op2(h12(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e20),op2(op2(e23,e22),e20)) )],[refute_17_705,refute_17_706]) ).
cnf(refute_17_708,plain,
op2(op2(e23,e22),e20) = op2(h12(e11),e20),
inference(resolve,[$cnf( $equal(op2(e23,e22),h12(e11)) )],[refute_17_59,refute_17_707]) ).
cnf(refute_17_709,plain,
( op2(op2(e23,e22),e20) != op2(e23,op2(e22,e20))
| op2(op2(e23,e22),e20) != op2(h12(e11),e20)
| op2(h12(e11),e20) = op2(e23,op2(e22,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e20),op2(e23,op2(e22,e20))) ),[0],$fot(op2(h12(e11),e20))]]) ).
cnf(refute_17_710,plain,
( op2(op2(e23,e22),e20) != op2(e23,op2(e22,e20))
| op2(h12(e11),e20) = op2(e23,op2(e22,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e20),op2(h12(e11),e20)) )],[refute_17_708,refute_17_709]) ).
cnf(refute_17_711,plain,
op2(e23,op2(e22,e20)) = op2(e23,op2(e22,e20)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e20)))]]) ).
cnf(refute_17_712,plain,
( op2(e22,e20) != h6(e11)
| op2(e23,op2(e22,e20)) != op2(e23,op2(e22,e20))
| op2(e23,op2(e22,e20)) = op2(e23,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e20)),op2(e23,op2(e22,e20))) ),[1,1],$fot(h6(e11))]]) ).
cnf(refute_17_713,plain,
( op2(e22,e20) != h6(e11)
| op2(e23,op2(e22,e20)) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e20)),op2(e23,op2(e22,e20))) )],[refute_17_711,refute_17_712]) ).
cnf(refute_17_714,plain,
op2(e23,op2(e22,e20)) = op2(e23,h6(e11)),
inference(resolve,[$cnf( $equal(op2(e22,e20),h6(e11)) )],[refute_17_182,refute_17_713]) ).
cnf(refute_17_715,plain,
( op2(e23,op2(e22,e20)) != op2(e23,h6(e11))
| op2(h12(e11),e20) != op2(e23,op2(e22,e20))
| op2(h12(e11),e20) = op2(e23,h6(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),e20),op2(e23,op2(e22,e20))) ),[1],$fot(op2(e23,h6(e11)))]]) ).
cnf(refute_17_716,plain,
( op2(h12(e11),e20) != op2(e23,op2(e22,e20))
| op2(h12(e11),e20) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e20)),op2(e23,h6(e11))) )],[refute_17_714,refute_17_715]) ).
cnf(refute_17_717,plain,
( op2(op2(e23,e22),e20) != op2(e23,op2(e22,e20))
| op2(h12(e11),e20) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),e20),op2(e23,op2(e22,e20))) )],[refute_17_710,refute_17_716]) ).
cnf(refute_17_718,plain,
op2(h12(e11),e20) = op2(e23,h6(e11)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e20),op2(e23,op2(e22,e20))) )],[refute_17_704,refute_17_717]) ).
cnf(refute_17_719,plain,
op2(h12(e11),h12(e10)) = op2(h12(e11),h12(e10)),
introduced(tautology,[refl,[$fot(op2(h12(e11),h12(e10)))]]) ).
cnf(refute_17_720,plain,
( h12(e10) != e20
| op2(h12(e11),h12(e10)) != op2(h12(e11),h12(e10))
| op2(h12(e11),h12(e10)) = op2(h12(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(h12(e11),h12(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_721,plain,
( h12(e10) != e20
| op2(h12(e11),h12(e10)) = op2(h12(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(h12(e11),h12(e10))) )],[refute_17_719,refute_17_720]) ).
cnf(refute_17_722,plain,
op2(h12(e11),h12(e10)) = op2(h12(e11),e20),
inference(resolve,[$cnf( $equal(h12(e10),e20) )],[refute_17_69,refute_17_721]) ).
cnf(refute_17_723,plain,
( op2(h12(e11),e20) != op2(e23,h6(e11))
| op2(h12(e11),h12(e10)) != op2(h12(e11),e20)
| op2(h12(e11),h12(e10)) = op2(e23,h6(e11)) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h12(e11),h12(e10)))),bind(Y,$fot(op2(h12(e11),e20))),bind(Z,$fot(op2(e23,h6(e11))))]]) ).
cnf(refute_17_724,plain,
( op2(h12(e11),e20) != op2(e23,h6(e11))
| op2(h12(e11),h12(e10)) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(h12(e11),e20)) )],[refute_17_722,refute_17_723]) ).
cnf(refute_17_725,plain,
op2(h12(e11),h12(e10)) = op2(e23,h6(e11)),
inference(resolve,[$cnf( $equal(op2(h12(e11),e20),op2(e23,h6(e11))) )],[refute_17_718,refute_17_724]) ).
cnf(refute_17_726,plain,
( h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| op2(h12(e11),h12(e10)) != op2(e23,h6(e11))
| h12(op1(e11,e10)) = op2(e23,h6(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e10)),op2(e23,h6(e11))) ),[0],$fot(op2(h12(e11),h12(e10)))]]) ).
cnf(refute_17_727,plain,
( h12(op1(e11,e10)) != op2(h12(e11),h12(e10))
| h12(op1(e11,e10)) = op2(e23,h6(e11)) ),
inference(resolve,[$cnf( $equal(op2(h12(e11),h12(e10)),op2(e23,h6(e11))) )],[refute_17_725,refute_17_726]) ).
cnf(refute_17_728,plain,
h12(op1(e11,e10)) = op2(e23,h6(e11)),
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),op2(h12(e11),h12(e10))) )],[refute_17_703,refute_17_727]) ).
cnf(refute_17_729,plain,
( h12(op1(e11,e10)) != op2(e23,h6(e11))
| op2(e23,h6(e11)) = h12(op1(e11,e10)) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h12(op1(e11,e10)))),bind(Y,$fot(op2(e23,h6(e11))))]]) ).
cnf(refute_17_730,plain,
op2(e23,h6(e11)) = h12(op1(e11,e10)),
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),op2(e23,h6(e11))) )],[refute_17_728,refute_17_729]) ).
cnf(refute_17_731,plain,
( op2(e23,h6(e11)) != h12(op1(e11,e10))
| op2(h11(e11),e23) != op2(e23,h6(e11))
| op2(h11(e11),e23) = h12(op1(e11,e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h11(e11),e23),op2(e23,h6(e11))) ),[1],$fot(h12(op1(e11,e10)))]]) ).
cnf(refute_17_732,plain,
( op2(h11(e11),e23) != op2(e23,h6(e11))
| op2(h11(e11),e23) = h12(op1(e11,e10)) ),
inference(resolve,[$cnf( $equal(op2(e23,h6(e11)),h12(op1(e11,e10))) )],[refute_17_730,refute_17_731]) ).
cnf(refute_17_733,plain,
op2(h11(e11),e23) = h12(op1(e11,e10)),
inference(resolve,[$cnf( $equal(op2(h11(e11),e23),op2(e23,h6(e11))) )],[refute_17_702,refute_17_732]) ).
cnf(refute_17_734,plain,
( op2(e20,h12(e11)) != h12(op1(e10,e11))
| op2(e23,h2(e11)) != op2(e20,h12(e11))
| op2(e23,h2(e11)) = h12(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h2(e11)),op2(e20,h12(e11))) ),[1],$fot(h12(op1(e10,e11)))]]) ).
cnf(refute_17_735,plain,
( op2(e23,h2(e11)) != op2(e20,h12(e11))
| op2(e23,h2(e11)) = h12(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,h12(e11)),h12(op1(e10,e11))) )],[refute_17_415,refute_17_734]) ).
cnf(refute_17_736,plain,
op2(e23,h2(e11)) = h12(op1(e10,e11)),
inference(resolve,[$cnf( $equal(op2(e23,h2(e11)),op2(e20,h12(e11))) )],[refute_17_402,refute_17_735]) ).
cnf(refute_17_737,plain,
op2(e23,h6(e11)) = op2(e23,h6(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h6(e11)))]]) ).
cnf(refute_17_738,plain,
( h6(e11) != h2(e11)
| op2(e23,h6(e11)) != op2(e23,h6(e11))
| op2(e23,h6(e11)) = op2(e23,h2(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h6(e11)),op2(e23,h6(e11))) ),[1,1],$fot(h2(e11))]]) ).
cnf(refute_17_739,plain,
( h6(e11) != h2(e11)
| op2(e23,h6(e11)) = op2(e23,h2(e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h6(e11)),op2(e23,h6(e11))) )],[refute_17_737,refute_17_738]) ).
cnf(refute_17_740,plain,
op2(e23,h6(e11)) = op2(e23,h2(e11)),
inference(resolve,[$cnf( $equal(h6(e11),h2(e11)) )],[refute_17_195,refute_17_739]) ).
cnf(refute_17_741,plain,
( op2(e23,h2(e11)) != h12(op1(e10,e11))
| op2(e23,h6(e11)) != op2(e23,h2(e11))
| op2(e23,h6(e11)) = h12(op1(e10,e11)) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(e23,h6(e11)))),bind(Y,$fot(op2(e23,h2(e11)))),bind(Z,$fot(h12(op1(e10,e11))))]]) ).
cnf(refute_17_742,plain,
( op2(e23,h2(e11)) != h12(op1(e10,e11))
| op2(e23,h6(e11)) = h12(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h6(e11)),op2(e23,h2(e11))) )],[refute_17_740,refute_17_741]) ).
cnf(refute_17_743,plain,
op2(e23,h6(e11)) = h12(op1(e10,e11)),
inference(resolve,[$cnf( $equal(op2(e23,h2(e11)),h12(op1(e10,e11))) )],[refute_17_736,refute_17_742]) ).
cnf(refute_17_744,plain,
( h12(op1(e11,e10)) != op2(e23,h6(e11))
| op2(e23,h6(e11)) != h12(op1(e10,e11))
| h12(op1(e11,e10)) = h12(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h12(op1(e11,e10)),h12(op1(e10,e11))) ),[0],$fot(op2(e23,h6(e11)))]]) ).
cnf(refute_17_745,plain,
( h12(op1(e11,e10)) != op2(e23,h6(e11))
| h12(op1(e11,e10)) = h12(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(e23,h6(e11)),h12(op1(e10,e11))) )],[refute_17_743,refute_17_744]) ).
cnf(refute_17_746,plain,
h12(op1(e11,e10)) = h12(op1(e10,e11)),
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),op2(e23,h6(e11))) )],[refute_17_728,refute_17_745]) ).
cnf(refute_17_747,plain,
( h12(op1(e11,e10)) != h12(op1(e10,e11))
| op2(h11(e11),e23) != h12(op1(e11,e10))
| op2(h11(e11),e23) = h12(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h11(e11),e23),h12(op1(e11,e10))) ),[1],$fot(h12(op1(e10,e11)))]]) ).
cnf(refute_17_748,plain,
( op2(h11(e11),e23) != h12(op1(e11,e10))
| op2(h11(e11),e23) = h12(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(h12(op1(e11,e10)),h12(op1(e10,e11))) )],[refute_17_746,refute_17_747]) ).
cnf(refute_17_749,plain,
op2(h11(e11),e23) = h12(op1(e10,e11)),
inference(resolve,[$cnf( $equal(op2(h11(e11),e23),h12(op1(e11,e10))) )],[refute_17_733,refute_17_748]) ).
cnf(refute_17_750,plain,
op2(h11(e11),e23) = op2(h11(e11),e23),
introduced(tautology,[refl,[$fot(op2(h11(e11),e23))]]) ).
cnf(refute_17_751,plain,
( h11(e11) != e22
| op2(h11(e11),e23) != op2(h11(e11),e23)
| op2(h11(e11),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h11(e11),e23),op2(h11(e11),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_752,plain,
( h11(e11) != e22
| op2(h11(e11),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h11(e11),e23),op2(h11(e11),e23)) )],[refute_17_750,refute_17_751]) ).
cnf(refute_17_753,plain,
op2(h11(e11),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(h11(e11),e22) )],[refute_17_661,refute_17_752]) ).
cnf(refute_17_754,plain,
( op2(e22,e23) != e21
| op2(h11(e11),e23) != op2(e22,e23)
| op2(h11(e11),e23) = e21 ),
inference(subst,[],[refute_17_24:[bind(X,$fot(op2(h11(e11),e23))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_755,plain,
( op2(e22,e23) != e21
| op2(h11(e11),e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(h11(e11),e23),op2(e22,e23)) )],[refute_17_753,refute_17_754]) ).
cnf(refute_17_756,plain,
op2(h11(e11),e23) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_116,refute_17_755]) ).
cnf(refute_17_757,plain,
( op2(h11(e11),e23) != e21
| op2(h11(e11),e23) != h12(op1(e10,e11))
| e21 = h12(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h11(e11),e23),h12(op1(e10,e11))) ),[0],$fot(e21)]]) ).
cnf(refute_17_758,plain,
( op2(h11(e11),e23) != h12(op1(e10,e11))
| e21 = h12(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(op2(h11(e11),e23),e21) )],[refute_17_756,refute_17_757]) ).
cnf(refute_17_759,plain,
( h12(e11) != h1(e11)
| h12(op1(e10,e11)) != h12(e11)
| h12(op1(e10,e11)) = h1(e11) ),
inference(subst,[],[refute_17_24:[bind(X,$fot(h12(op1(e10,e11)))),bind(Y,$fot(h12(e11))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_17_760,plain,
( h12(e11) != h1(e11)
| h12(op1(e10,e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),h12(e11)) )],[refute_17_335,refute_17_759]) ).
cnf(refute_17_761,plain,
h12(op1(e10,e11)) = h1(e11),
inference(resolve,[$cnf( $equal(h12(e11),h1(e11)) )],[refute_17_687,refute_17_760]) ).
cnf(refute_17_762,plain,
( e21 != h12(op1(e10,e11))
| h12(op1(e10,e11)) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h1(e11)) ),[0],$fot(h12(op1(e10,e11)))]]) ).
cnf(refute_17_763,plain,
( e21 != h12(op1(e10,e11))
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(h12(op1(e10,e11)),h1(e11)) )],[refute_17_761,refute_17_762]) ).
cnf(refute_17_764,plain,
( op2(h11(e11),e23) != h12(op1(e10,e11))
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(e21,h12(op1(e10,e11))) )],[refute_17_758,refute_17_763]) ).
cnf(refute_17_765,plain,
e21 = h1(e11),
inference(resolve,[$cnf( $equal(op2(h11(e11),e23),h12(op1(e10,e11))) )],[refute_17_749,refute_17_764]) ).
cnf(refute_17_766,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_17_767,plain,
h1(e11) = e21,
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_17_765,refute_17_766]) ).
cnf(refute_17_768,plain,
( h1(e11) != e21
| h12(e11) != h1(e11)
| h12(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h12(e11),h1(e11)) ),[1],$fot(e21)]]) ).
cnf(refute_17_769,plain,
( h12(e11) != h1(e11)
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_17_767,refute_17_768]) ).
cnf(refute_17_770,plain,
h12(e11) = e21,
inference(resolve,[$cnf( $equal(h12(e11),h1(e11)) )],[refute_17_687,refute_17_769]) ).
cnf(refute_17_771,plain,
( e21 != e21
| h12(e11) != e21
| h12(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h12(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_17_772,plain,
( e21 != e21
| h12(e11) = e21 ),
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_17_770,refute_17_771]) ).
cnf(refute_17_773,plain,
e21 != e21,
inference(resolve,[$cnf( $equal(h12(e11),e21) )],[refute_17_772,refute_17_0]) ).
cnf(refute_17_774,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_17_775,plain,
$false,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_774,refute_17_773]) ).
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 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& h12(e10) != e22
& h12(e11) != e22
& h12(e12) != e22 )
=> h12(e13) = e22 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( h12(e10) != e22
& h12(e11) != e22
& h12(e12) != e22
& h12(e13) != e22
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_18_0]) ).
fof(normalize_18_1,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_18_2,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_18_1]) ).
fof(normalize_18_3,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_18_4,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_18_3]) ).
fof(normalize_18_5,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_18_3]) ).
fof(normalize_18_6,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_18_7,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_18_6]) ).
fof(normalize_18_8,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_18_6]) ).
fof(normalize_18_9,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_18_10,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_18_9]) ).
fof(normalize_18_11,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_18_9]) ).
fof(normalize_18_12,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_18_13,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_18_12]) ).
fof(normalize_18_14,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_18_12]) ).
fof(normalize_18_15,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_18_16,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_18_15]) ).
fof(normalize_18_17,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_18_15]) ).
fof(normalize_18_18,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_18_19,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_18_18]) ).
fof(normalize_18_20,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_18_18]) ).
fof(normalize_18_21,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_18_22,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_18_21]) ).
fof(normalize_18_23,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_18_21]) ).
fof(normalize_18_24,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_18_25,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_18_24]) ).
fof(normalize_18_26,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_18_24]) ).
fof(normalize_18_27,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_18_28,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_18_27]) ).
fof(normalize_18_29,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_18_27]) ).
fof(normalize_18_30,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_18_31,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_18_30]) ).
fof(normalize_18_32,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_18_30]) ).
fof(normalize_18_33,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_18_34,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_18_33]) ).
fof(normalize_18_35,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_18_33]) ).
fof(normalize_18_36,plain,
$false,
inference(simplify,[],[normalize_18_0,normalize_18_2,normalize_18_4,normalize_18_5,normalize_18_7,normalize_18_8,normalize_18_10,normalize_18_11,normalize_18_13,normalize_18_14,normalize_18_16,normalize_18_17,normalize_18_19,normalize_18_20,normalize_18_22,normalize_18_23,normalize_18_25,normalize_18_26,normalize_18_28,normalize_18_29,normalize_18_31,normalize_18_32,normalize_18_34,normalize_18_35]) ).
cnf(refute_18_0,plain,
$false,
inference(canonicalize,[],[normalize_18_36]) ).
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 ) )
& ~ ( h5(op1(e10,e10)) = op2(h5(e10),h5(e10))
& h5(op1(e10,e11)) = op2(h5(e10),h5(e11))
& h5(op1(e10,e12)) = op2(h5(e10),h5(e12))
& h5(op1(e10,e13)) = op2(h5(e10),h5(e13))
& h5(op1(e11,e10)) = op2(h5(e11),h5(e10))
& h5(op1(e11,e11)) = op2(h5(e11),h5(e11))
& h5(op1(e11,e12)) = op2(h5(e11),h5(e12))
& h5(op1(e11,e13)) = op2(h5(e11),h5(e13))
& h5(op1(e12,e10)) = op2(h5(e12),h5(e10))
& h5(op1(e12,e11)) = op2(h5(e12),h5(e11))
& h5(op1(e12,e12)) = op2(h5(e12),h5(e12))
& h5(op1(e12,e13)) = op2(h5(e12),h5(e13))
& h5(op1(e13,e10)) = op2(h5(e13),h5(e10))
& h5(op1(e13,e11)) = op2(h5(e13),h5(e11))
& h5(op1(e13,e12)) = op2(h5(e13),h5(e12))
& h5(op1(e13,e13)) = op2(h5(e13),h5(e13))
& ( h5(e10) = e20
| h5(e11) = e20
| h5(e12) = e20
| h5(e13) = e20 )
& ( h5(e10) = e21
| h5(e11) = e21
| h5(e12) = e21
| h5(e13) = e21 )
& ( h5(e10) = e22
| h5(e11) = e22
| h5(e12) = e22
| h5(e13) = e22 )
& ( h5(e10) = e23
| h5(e11) = e23
| h5(e12) = e23
| h5(e13) = e23 ) )
& ~ ( h6(op1(e10,e10)) = op2(h6(e10),h6(e10))
& h6(op1(e10,e11)) = op2(h6(e10),h6(e11))
& h6(op1(e10,e12)) = op2(h6(e10),h6(e12))
& h6(op1(e10,e13)) = op2(h6(e10),h6(e13))
& h6(op1(e11,e10)) = op2(h6(e11),h6(e10))
& h6(op1(e11,e11)) = op2(h6(e11),h6(e11))
& h6(op1(e11,e12)) = op2(h6(e11),h6(e12))
& h6(op1(e11,e13)) = op2(h6(e11),h6(e13))
& h6(op1(e12,e10)) = op2(h6(e12),h6(e10))
& h6(op1(e12,e11)) = op2(h6(e12),h6(e11))
& h6(op1(e12,e12)) = op2(h6(e12),h6(e12))
& h6(op1(e12,e13)) = op2(h6(e12),h6(e13))
& h6(op1(e13,e10)) = op2(h6(e13),h6(e10))
& h6(op1(e13,e11)) = op2(h6(e13),h6(e11))
& h6(op1(e13,e12)) = op2(h6(e13),h6(e12))
& h6(op1(e13,e13)) = op2(h6(e13),h6(e13))
& ( h6(e10) = e20
| h6(e11) = e20
| h6(e12) = e20
| h6(e13) = e20 )
& ( h6(e10) = e21
| h6(e11) = e21
| h6(e12) = e21
| h6(e13) = e21 )
& ( h6(e10) = e22
| h6(e11) = e22
| h6(e12) = e22
| h6(e13) = e22 )
& ( h6(e10) = e23
| h6(e11) = e23
| h6(e12) = e23
| h6(e13) = e23 ) )
& ~ ( h7(op1(e10,e10)) = op2(h7(e10),h7(e10))
& h7(op1(e10,e11)) = op2(h7(e10),h7(e11))
& h7(op1(e10,e12)) = op2(h7(e10),h7(e12))
& h7(op1(e10,e13)) = op2(h7(e10),h7(e13))
& h7(op1(e11,e10)) = op2(h7(e11),h7(e10))
& h7(op1(e11,e11)) = op2(h7(e11),h7(e11))
& h7(op1(e11,e12)) = op2(h7(e11),h7(e12))
& h7(op1(e11,e13)) = op2(h7(e11),h7(e13))
& h7(op1(e12,e10)) = op2(h7(e12),h7(e10))
& h7(op1(e12,e11)) = op2(h7(e12),h7(e11))
& h7(op1(e12,e12)) = op2(h7(e12),h7(e12))
& h7(op1(e12,e13)) = op2(h7(e12),h7(e13))
& h7(op1(e13,e10)) = op2(h7(e13),h7(e10))
& h7(op1(e13,e11)) = op2(h7(e13),h7(e11))
& h7(op1(e13,e12)) = op2(h7(e13),h7(e12))
& h7(op1(e13,e13)) = op2(h7(e13),h7(e13))
& ( h7(e10) = e20
| h7(e11) = e20
| h7(e12) = e20
| h7(e13) = e20 )
& ( h7(e10) = e21
| h7(e11) = e21
| h7(e12) = e21
| h7(e13) = e21 )
& ( h7(e10) = e22
| h7(e11) = e22
| h7(e12) = e22
| h7(e13) = e22 )
& ( h7(e10) = e23
| h7(e11) = e23
| h7(e12) = e23
| h7(e13) = e23 ) )
& ~ ( h8(op1(e10,e10)) = op2(h8(e10),h8(e10))
& h8(op1(e10,e11)) = op2(h8(e10),h8(e11))
& h8(op1(e10,e12)) = op2(h8(e10),h8(e12))
& h8(op1(e10,e13)) = op2(h8(e10),h8(e13))
& h8(op1(e11,e10)) = op2(h8(e11),h8(e10))
& h8(op1(e11,e11)) = op2(h8(e11),h8(e11))
& h8(op1(e11,e12)) = op2(h8(e11),h8(e12))
& h8(op1(e11,e13)) = op2(h8(e11),h8(e13))
& h8(op1(e12,e10)) = op2(h8(e12),h8(e10))
& h8(op1(e12,e11)) = op2(h8(e12),h8(e11))
& h8(op1(e12,e12)) = op2(h8(e12),h8(e12))
& h8(op1(e12,e13)) = op2(h8(e12),h8(e13))
& h8(op1(e13,e10)) = op2(h8(e13),h8(e10))
& h8(op1(e13,e11)) = op2(h8(e13),h8(e11))
& h8(op1(e13,e12)) = op2(h8(e13),h8(e12))
& h8(op1(e13,e13)) = op2(h8(e13),h8(e13))
& ( h8(e10) = e20
| h8(e11) = e20
| h8(e12) = e20
| h8(e13) = e20 )
& ( h8(e10) = e21
| h8(e11) = e21
| h8(e12) = e21
| h8(e13) = e21 )
& ( h8(e10) = e22
| h8(e11) = e22
| h8(e12) = e22
| h8(e13) = e22 )
& ( h8(e10) = e23
| h8(e11) = e23
| h8(e12) = e23
| h8(e13) = e23 ) )
& ~ ( h9(op1(e10,e10)) = op2(h9(e10),h9(e10))
& h9(op1(e10,e11)) = op2(h9(e10),h9(e11))
& h9(op1(e10,e12)) = op2(h9(e10),h9(e12))
& h9(op1(e10,e13)) = op2(h9(e10),h9(e13))
& h9(op1(e11,e10)) = op2(h9(e11),h9(e10))
& h9(op1(e11,e11)) = op2(h9(e11),h9(e11))
& h9(op1(e11,e12)) = op2(h9(e11),h9(e12))
& h9(op1(e11,e13)) = op2(h9(e11),h9(e13))
& h9(op1(e12,e10)) = op2(h9(e12),h9(e10))
& h9(op1(e12,e11)) = op2(h9(e12),h9(e11))
& h9(op1(e12,e12)) = op2(h9(e12),h9(e12))
& h9(op1(e12,e13)) = op2(h9(e12),h9(e13))
& h9(op1(e13,e10)) = op2(h9(e13),h9(e10))
& h9(op1(e13,e11)) = op2(h9(e13),h9(e11))
& h9(op1(e13,e12)) = op2(h9(e13),h9(e12))
& h9(op1(e13,e13)) = op2(h9(e13),h9(e13))
& ( h9(e10) = e20
| h9(e11) = e20
| h9(e12) = e20
| h9(e13) = e20 )
& ( h9(e10) = e21
| h9(e11) = e21
| h9(e12) = e21
| h9(e13) = e21 )
& ( h9(e10) = e22
| h9(e11) = e22
| h9(e12) = e22
| h9(e13) = e22 )
& ( h9(e10) = e23
| h9(e11) = e23
| h9(e12) = e23
| h9(e13) = e23 ) )
& ~ ( h10(op1(e10,e10)) = op2(h10(e10),h10(e10))
& h10(op1(e10,e11)) = op2(h10(e10),h10(e11))
& h10(op1(e10,e12)) = op2(h10(e10),h10(e12))
& h10(op1(e10,e13)) = op2(h10(e10),h10(e13))
& h10(op1(e11,e10)) = op2(h10(e11),h10(e10))
& h10(op1(e11,e11)) = op2(h10(e11),h10(e11))
& h10(op1(e11,e12)) = op2(h10(e11),h10(e12))
& h10(op1(e11,e13)) = op2(h10(e11),h10(e13))
& h10(op1(e12,e10)) = op2(h10(e12),h10(e10))
& h10(op1(e12,e11)) = op2(h10(e12),h10(e11))
& h10(op1(e12,e12)) = op2(h10(e12),h10(e12))
& h10(op1(e12,e13)) = op2(h10(e12),h10(e13))
& h10(op1(e13,e10)) = op2(h10(e13),h10(e10))
& h10(op1(e13,e11)) = op2(h10(e13),h10(e11))
& h10(op1(e13,e12)) = op2(h10(e13),h10(e12))
& h10(op1(e13,e13)) = op2(h10(e13),h10(e13))
& ( h10(e10) = e20
| h10(e11) = e20
| h10(e12) = e20
| h10(e13) = e20 )
& ( h10(e10) = e21
| h10(e11) = e21
| h10(e12) = e21
| h10(e13) = e21 )
& ( h10(e10) = e22
| h10(e11) = e22
| h10(e12) = e22
| h10(e13) = e22 )
& ( h10(e10) = e23
| h10(e11) = e23
| h10(e12) = e23
| h10(e13) = e23 ) )
& ~ ( h11(op1(e10,e10)) = op2(h11(e10),h11(e10))
& h11(op1(e10,e11)) = op2(h11(e10),h11(e11))
& h11(op1(e10,e12)) = op2(h11(e10),h11(e12))
& h11(op1(e10,e13)) = op2(h11(e10),h11(e13))
& h11(op1(e11,e10)) = op2(h11(e11),h11(e10))
& h11(op1(e11,e11)) = op2(h11(e11),h11(e11))
& h11(op1(e11,e12)) = op2(h11(e11),h11(e12))
& h11(op1(e11,e13)) = op2(h11(e11),h11(e13))
& h11(op1(e12,e10)) = op2(h11(e12),h11(e10))
& h11(op1(e12,e11)) = op2(h11(e12),h11(e11))
& h11(op1(e12,e12)) = op2(h11(e12),h11(e12))
& h11(op1(e12,e13)) = op2(h11(e12),h11(e13))
& h11(op1(e13,e10)) = op2(h11(e13),h11(e10))
& h11(op1(e13,e11)) = op2(h11(e13),h11(e11))
& h11(op1(e13,e12)) = op2(h11(e13),h11(e12))
& h11(op1(e13,e13)) = op2(h11(e13),h11(e13))
& ( h11(e10) = e20
| h11(e11) = e20
| h11(e12) = e20
| h11(e13) = e20 )
& ( h11(e10) = e21
| h11(e11) = e21
| h11(e12) = e21
| h11(e13) = e21 )
& ( h11(e10) = e22
| h11(e11) = e22
| h11(e12) = e22
| h11(e13) = e22 )
& ( h11(e10) = e23
| h11(e11) = e23
| h11(e12) = e23
| h11(e13) = e23 ) )
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(e13) = e22 )
& h12(e10) != e23
& h12(e11) != e23
& h12(e12) != e23 )
=> h12(e13) = e23 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( h12(e10) != e23
& h12(e11) != e23
& h12(e12) != e23
& h12(e13) != e23
& h12(op1(e10,e10)) = op2(h12(e10),h12(e10))
& h12(op1(e10,e11)) = op2(h12(e10),h12(e11))
& h12(op1(e10,e12)) = op2(h12(e10),h12(e12))
& h12(op1(e10,e13)) = op2(h12(e10),h12(e13))
& h12(op1(e11,e10)) = op2(h12(e11),h12(e10))
& h12(op1(e11,e11)) = op2(h12(e11),h12(e11))
& h12(op1(e11,e12)) = op2(h12(e11),h12(e12))
& h12(op1(e11,e13)) = op2(h12(e11),h12(e13))
& h12(op1(e12,e10)) = op2(h12(e12),h12(e10))
& h12(op1(e12,e11)) = op2(h12(e12),h12(e11))
& h12(op1(e12,e12)) = op2(h12(e12),h12(e12))
& h12(op1(e12,e13)) = op2(h12(e12),h12(e13))
& h12(op1(e13,e10)) = op2(h12(e13),h12(e10))
& h12(op1(e13,e11)) = op2(h12(e13),h12(e11))
& h12(op1(e13,e12)) = op2(h12(e13),h12(e12))
& h12(op1(e13,e13)) = op2(h12(e13),h12(e13))
& ( h12(e10) = e20
| h12(e11) = e20
| h12(e12) = e20
| h12(e13) = e20 )
& ( h12(e10) = e21
| h12(e11) = e21
| h12(e12) = e21
| h12(e13) = e21 )
& ( h12(e10) = e22
| h12(e11) = e22
| h12(e12) = e22
| h12(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 ) )
& ( h10(op1(e10,e10)) != op2(h10(e10),h10(e10))
| h10(op1(e10,e11)) != op2(h10(e10),h10(e11))
| h10(op1(e10,e12)) != op2(h10(e10),h10(e12))
| h10(op1(e10,e13)) != op2(h10(e10),h10(e13))
| h10(op1(e11,e10)) != op2(h10(e11),h10(e10))
| h10(op1(e11,e11)) != op2(h10(e11),h10(e11))
| h10(op1(e11,e12)) != op2(h10(e11),h10(e12))
| h10(op1(e11,e13)) != op2(h10(e11),h10(e13))
| h10(op1(e12,e10)) != op2(h10(e12),h10(e10))
| h10(op1(e12,e11)) != op2(h10(e12),h10(e11))
| h10(op1(e12,e12)) != op2(h10(e12),h10(e12))
| h10(op1(e12,e13)) != op2(h10(e12),h10(e13))
| h10(op1(e13,e10)) != op2(h10(e13),h10(e10))
| h10(op1(e13,e11)) != op2(h10(e13),h10(e11))
| h10(op1(e13,e12)) != op2(h10(e13),h10(e12))
| h10(op1(e13,e13)) != op2(h10(e13),h10(e13))
| ( h10(e10) != e20
& h10(e11) != e20
& h10(e12) != e20
& h10(e13) != e20 )
| ( h10(e10) != e21
& h10(e11) != e21
& h10(e12) != e21
& h10(e13) != e21 )
| ( h10(e10) != e22
& h10(e11) != e22
& h10(e12) != e22
& h10(e13) != e22 )
| ( h10(e10) != e23
& h10(e11) != e23
& h10(e12) != e23
& h10(e13) != e23 ) )
& ( h11(op1(e10,e10)) != op2(h11(e10),h11(e10))
| h11(op1(e10,e11)) != op2(h11(e10),h11(e11))
| h11(op1(e10,e12)) != op2(h11(e10),h11(e12))
| h11(op1(e10,e13)) != op2(h11(e10),h11(e13))
| h11(op1(e11,e10)) != op2(h11(e11),h11(e10))
| h11(op1(e11,e11)) != op2(h11(e11),h11(e11))
| h11(op1(e11,e12)) != op2(h11(e11),h11(e12))
| h11(op1(e11,e13)) != op2(h11(e11),h11(e13))
| h11(op1(e12,e10)) != op2(h11(e12),h11(e10))
| h11(op1(e12,e11)) != op2(h11(e12),h11(e11))
| h11(op1(e12,e12)) != op2(h11(e12),h11(e12))
| h11(op1(e12,e13)) != op2(h11(e12),h11(e13))
| h11(op1(e13,e10)) != op2(h11(e13),h11(e10))
| h11(op1(e13,e11)) != op2(h11(e13),h11(e11))
| h11(op1(e13,e12)) != op2(h11(e13),h11(e12))
| h11(op1(e13,e13)) != op2(h11(e13),h11(e13))
| ( h11(e10) != e20
& h11(e11) != e20
& h11(e12) != e20
& h11(e13) != e20 )
| ( h11(e10) != e21
& h11(e11) != e21
& h11(e12) != e21
& h11(e13) != e21 )
| ( h11(e10) != e22
& h11(e11) != e22
& h11(e12) != e22
& h11(e13) != e22 )
| ( h11(e10) != e23
& h11(e11) != e23
& h11(e12) != e23
& h11(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( 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 ) )
& ( h5(op1(e10,e10)) != op2(h5(e10),h5(e10))
| h5(op1(e10,e11)) != op2(h5(e10),h5(e11))
| h5(op1(e10,e12)) != op2(h5(e10),h5(e12))
| h5(op1(e10,e13)) != op2(h5(e10),h5(e13))
| h5(op1(e11,e10)) != op2(h5(e11),h5(e10))
| h5(op1(e11,e11)) != op2(h5(e11),h5(e11))
| h5(op1(e11,e12)) != op2(h5(e11),h5(e12))
| h5(op1(e11,e13)) != op2(h5(e11),h5(e13))
| h5(op1(e12,e10)) != op2(h5(e12),h5(e10))
| h5(op1(e12,e11)) != op2(h5(e12),h5(e11))
| h5(op1(e12,e12)) != op2(h5(e12),h5(e12))
| h5(op1(e12,e13)) != op2(h5(e12),h5(e13))
| h5(op1(e13,e10)) != op2(h5(e13),h5(e10))
| h5(op1(e13,e11)) != op2(h5(e13),h5(e11))
| h5(op1(e13,e12)) != op2(h5(e13),h5(e12))
| h5(op1(e13,e13)) != op2(h5(e13),h5(e13))
| ( h5(e10) != e20
& h5(e11) != e20
& h5(e12) != e20
& h5(e13) != e20 )
| ( h5(e10) != e21
& h5(e11) != e21
& h5(e12) != e21
& h5(e13) != e21 )
| ( h5(e10) != e22
& h5(e11) != e22
& h5(e12) != e22
& h5(e13) != e22 )
| ( h5(e10) != e23
& h5(e11) != e23
& h5(e12) != e23
& h5(e13) != e23 ) )
& ( h6(op1(e10,e10)) != op2(h6(e10),h6(e10))
| h6(op1(e10,e11)) != op2(h6(e10),h6(e11))
| h6(op1(e10,e12)) != op2(h6(e10),h6(e12))
| h6(op1(e10,e13)) != op2(h6(e10),h6(e13))
| h6(op1(e11,e10)) != op2(h6(e11),h6(e10))
| h6(op1(e11,e11)) != op2(h6(e11),h6(e11))
| h6(op1(e11,e12)) != op2(h6(e11),h6(e12))
| h6(op1(e11,e13)) != op2(h6(e11),h6(e13))
| h6(op1(e12,e10)) != op2(h6(e12),h6(e10))
| h6(op1(e12,e11)) != op2(h6(e12),h6(e11))
| h6(op1(e12,e12)) != op2(h6(e12),h6(e12))
| h6(op1(e12,e13)) != op2(h6(e12),h6(e13))
| h6(op1(e13,e10)) != op2(h6(e13),h6(e10))
| h6(op1(e13,e11)) != op2(h6(e13),h6(e11))
| h6(op1(e13,e12)) != op2(h6(e13),h6(e12))
| h6(op1(e13,e13)) != op2(h6(e13),h6(e13))
| ( h6(e10) != e20
& h6(e11) != e20
& h6(e12) != e20
& h6(e13) != e20 )
| ( h6(e10) != e21
& h6(e11) != e21
& h6(e12) != e21
& h6(e13) != e21 )
| ( h6(e10) != e22
& h6(e11) != e22
& h6(e12) != e22
& h6(e13) != e22 )
| ( h6(e10) != e23
& h6(e11) != e23
& h6(e12) != e23
& h6(e13) != e23 ) )
& ( h7(op1(e10,e10)) != op2(h7(e10),h7(e10))
| h7(op1(e10,e11)) != op2(h7(e10),h7(e11))
| h7(op1(e10,e12)) != op2(h7(e10),h7(e12))
| h7(op1(e10,e13)) != op2(h7(e10),h7(e13))
| h7(op1(e11,e10)) != op2(h7(e11),h7(e10))
| h7(op1(e11,e11)) != op2(h7(e11),h7(e11))
| h7(op1(e11,e12)) != op2(h7(e11),h7(e12))
| h7(op1(e11,e13)) != op2(h7(e11),h7(e13))
| h7(op1(e12,e10)) != op2(h7(e12),h7(e10))
| h7(op1(e12,e11)) != op2(h7(e12),h7(e11))
| h7(op1(e12,e12)) != op2(h7(e12),h7(e12))
| h7(op1(e12,e13)) != op2(h7(e12),h7(e13))
| h7(op1(e13,e10)) != op2(h7(e13),h7(e10))
| h7(op1(e13,e11)) != op2(h7(e13),h7(e11))
| h7(op1(e13,e12)) != op2(h7(e13),h7(e12))
| h7(op1(e13,e13)) != op2(h7(e13),h7(e13))
| ( h7(e10) != e20
& h7(e11) != e20
& h7(e12) != e20
& h7(e13) != e20 )
| ( h7(e10) != e21
& h7(e11) != e21
& h7(e12) != e21
& h7(e13) != e21 )
| ( h7(e10) != e22
& h7(e11) != e22
& h7(e12) != e22
& h7(e13) != e22 )
| ( h7(e10) != e23
& h7(e11) != e23
& h7(e12) != e23
& h7(e13) != e23 ) )
& ( h8(op1(e10,e10)) != op2(h8(e10),h8(e10))
| h8(op1(e10,e11)) != op2(h8(e10),h8(e11))
| h8(op1(e10,e12)) != op2(h8(e10),h8(e12))
| h8(op1(e10,e13)) != op2(h8(e10),h8(e13))
| h8(op1(e11,e10)) != op2(h8(e11),h8(e10))
| h8(op1(e11,e11)) != op2(h8(e11),h8(e11))
| h8(op1(e11,e12)) != op2(h8(e11),h8(e12))
| h8(op1(e11,e13)) != op2(h8(e11),h8(e13))
| h8(op1(e12,e10)) != op2(h8(e12),h8(e10))
| h8(op1(e12,e11)) != op2(h8(e12),h8(e11))
| h8(op1(e12,e12)) != op2(h8(e12),h8(e12))
| h8(op1(e12,e13)) != op2(h8(e12),h8(e13))
| h8(op1(e13,e10)) != op2(h8(e13),h8(e10))
| h8(op1(e13,e11)) != op2(h8(e13),h8(e11))
| h8(op1(e13,e12)) != op2(h8(e13),h8(e12))
| h8(op1(e13,e13)) != op2(h8(e13),h8(e13))
| ( h8(e10) != e20
& h8(e11) != e20
& h8(e12) != e20
& h8(e13) != e20 )
| ( h8(e10) != e21
& h8(e11) != e21
& h8(e12) != e21
& h8(e13) != e21 )
| ( h8(e10) != e22
& h8(e11) != e22
& h8(e12) != e22
& h8(e13) != e22 )
| ( h8(e10) != e23
& h8(e11) != e23
& h8(e12) != e23
& h8(e13) != e23 ) )
& ( h9(op1(e10,e10)) != op2(h9(e10),h9(e10))
| h9(op1(e10,e11)) != op2(h9(e10),h9(e11))
| h9(op1(e10,e12)) != op2(h9(e10),h9(e12))
| h9(op1(e10,e13)) != op2(h9(e10),h9(e13))
| h9(op1(e11,e10)) != op2(h9(e11),h9(e10))
| h9(op1(e11,e11)) != op2(h9(e11),h9(e11))
| h9(op1(e11,e12)) != op2(h9(e11),h9(e12))
| h9(op1(e11,e13)) != op2(h9(e11),h9(e13))
| h9(op1(e12,e10)) != op2(h9(e12),h9(e10))
| h9(op1(e12,e11)) != op2(h9(e12),h9(e11))
| h9(op1(e12,e12)) != op2(h9(e12),h9(e12))
| h9(op1(e12,e13)) != op2(h9(e12),h9(e13))
| h9(op1(e13,e10)) != op2(h9(e13),h9(e10))
| h9(op1(e13,e11)) != op2(h9(e13),h9(e11))
| h9(op1(e13,e12)) != op2(h9(e13),h9(e12))
| h9(op1(e13,e13)) != op2(h9(e13),h9(e13))
| ( h9(e10) != e20
& h9(e11) != e20
& h9(e12) != e20
& h9(e13) != e20 )
| ( h9(e10) != e21
& h9(e11) != e21
& h9(e12) != e21
& h9(e13) != e21 )
| ( h9(e10) != e22
& h9(e11) != e22
& h9(e12) != e22
& h9(e13) != e22 )
| ( h9(e10) != e23
& h9(e11) != e23
& h9(e12) != e23
& h9(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_1,plain,
( h12(e10) = op2(e22,e22)
& h12(e11) = op2(e23,e22)
& h12(e12) = e23
& h12(e13) = e22 ),
inference(canonicalize,[],[ax37]) ).
fof(normalize_19_2,plain,
h12(e12) = e23,
inference(conjunct,[],[normalize_19_1]) ).
fof(normalize_19_3,plain,
h12(e13) = e22,
inference(conjunct,[],[normalize_19_1]) ).
fof(normalize_19_4,plain,
( h1(e10) = op2(e21,e21)
& h1(e11) = op2(e20,e21)
& h1(e12) = e20
& h1(e13) = e21 ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_19_5,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_19_4]) ).
fof(normalize_19_6,plain,
h1(e13) = e21,
inference(conjunct,[],[normalize_19_4]) ).
fof(normalize_19_7,plain,
( h10(e10) = op2(e20,e20)
& h10(e11) = op2(e23,e20)
& h10(e12) = e23
& h10(e13) = e20 ),
inference(canonicalize,[],[ax35]) ).
fof(normalize_19_8,plain,
h10(e13) = e20,
inference(conjunct,[],[normalize_19_7]) ).
fof(normalize_19_9,plain,
h10(e12) = e23,
inference(conjunct,[],[normalize_19_7]) ).
fof(normalize_19_10,plain,
( h11(e10) = op2(e21,e21)
& h11(e11) = op2(e23,e21)
& h11(e12) = e23
& h11(e13) = e21 ),
inference(canonicalize,[],[ax36]) ).
fof(normalize_19_11,plain,
h11(e13) = e21,
inference(conjunct,[],[normalize_19_10]) ).
fof(normalize_19_12,plain,
h11(e12) = e23,
inference(conjunct,[],[normalize_19_10]) ).
fof(normalize_19_13,plain,
( h2(e10) = op2(e22,e22)
& h2(e11) = op2(e20,e22)
& h2(e12) = e20
& h2(e13) = e22 ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_19_14,plain,
h2(e12) = e20,
inference(conjunct,[],[normalize_19_13]) ).
fof(normalize_19_15,plain,
h2(e13) = e22,
inference(conjunct,[],[normalize_19_13]) ).
fof(normalize_19_16,plain,
( h3(e10) = op2(e23,e23)
& h3(e11) = op2(e20,e23)
& h3(e12) = e20
& h3(e13) = e23 ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_19_17,plain,
h3(e12) = e20,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_18,plain,
h3(e13) = e23,
inference(conjunct,[],[normalize_19_16]) ).
fof(normalize_19_19,plain,
( h4(e10) = op2(e20,e20)
& h4(e11) = op2(e21,e20)
& h4(e12) = e21
& h4(e13) = e20 ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_19_20,plain,
h4(e13) = e20,
inference(conjunct,[],[normalize_19_19]) ).
fof(normalize_19_21,plain,
h4(e12) = e21,
inference(conjunct,[],[normalize_19_19]) ).
fof(normalize_19_22,plain,
( h5(e10) = op2(e22,e22)
& h5(e11) = op2(e21,e22)
& h5(e12) = e21
& h5(e13) = e22 ),
inference(canonicalize,[],[ax30]) ).
fof(normalize_19_23,plain,
h5(e12) = e21,
inference(conjunct,[],[normalize_19_22]) ).
fof(normalize_19_24,plain,
h5(e13) = e22,
inference(conjunct,[],[normalize_19_22]) ).
fof(normalize_19_25,plain,
( h6(e10) = op2(e23,e23)
& h6(e11) = op2(e21,e23)
& h6(e12) = e21
& h6(e13) = e23 ),
inference(canonicalize,[],[ax31]) ).
fof(normalize_19_26,plain,
h6(e12) = e21,
inference(conjunct,[],[normalize_19_25]) ).
fof(normalize_19_27,plain,
h6(e13) = e23,
inference(conjunct,[],[normalize_19_25]) ).
fof(normalize_19_28,plain,
( h7(e10) = op2(e20,e20)
& h7(e11) = op2(e22,e20)
& h7(e12) = e22
& h7(e13) = e20 ),
inference(canonicalize,[],[ax32]) ).
fof(normalize_19_29,plain,
h7(e13) = e20,
inference(conjunct,[],[normalize_19_28]) ).
fof(normalize_19_30,plain,
h7(e12) = e22,
inference(conjunct,[],[normalize_19_28]) ).
fof(normalize_19_31,plain,
( h8(e10) = op2(e21,e21)
& h8(e11) = op2(e22,e21)
& h8(e12) = e22
& h8(e13) = e21 ),
inference(canonicalize,[],[ax33]) ).
fof(normalize_19_32,plain,
h8(e13) = e21,
inference(conjunct,[],[normalize_19_31]) ).
fof(normalize_19_33,plain,
h8(e12) = e22,
inference(conjunct,[],[normalize_19_31]) ).
fof(normalize_19_34,plain,
( h9(e10) = op2(e23,e23)
& h9(e11) = op2(e22,e23)
& h9(e12) = e22
& h9(e13) = e23 ),
inference(canonicalize,[],[ax34]) ).
fof(normalize_19_35,plain,
h9(e12) = e22,
inference(conjunct,[],[normalize_19_34]) ).
fof(normalize_19_36,plain,
h9(e13) = e23,
inference(conjunct,[],[normalize_19_34]) ).
fof(normalize_19_37,plain,
$false,
inference(simplify,[],[normalize_19_0,normalize_19_2,normalize_19_3,normalize_19_5,normalize_19_6,normalize_19_8,normalize_19_9,normalize_19_11,normalize_19_12,normalize_19_14,normalize_19_15,normalize_19_17,normalize_19_18,normalize_19_20,normalize_19_21,normalize_19_23,normalize_19_24,normalize_19_26,normalize_19_27,normalize_19_29,normalize_19_30,normalize_19_32,normalize_19_33,normalize_19_35,normalize_19_36]) ).
cnf(refute_19_0,plain,
$false,
inference(canonicalize,[],[normalize_19_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG015+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 10:18:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.38/5.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.38/5.60
% 5.38/5.60 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.54/6.70
%------------------------------------------------------------------------------