%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG016+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 17:30:41 EDT 2022
% Result : Theorem 5.05s 5.26s
% Output : CNFRefutation 6.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 97
% Number of leaves : 3120
% Syntax : Number of formulae : 11443 (5057 unt; 2 def)
% Number of atoms : 33666 (33561 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 36143 (13920 ~;13959 |;8220 &)
% ( 4 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 64 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 209 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ) ).
fof(ax2,axiom,
( op1(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(ax3,axiom,
( op1(unit1,e10) = e10
& op1(e10,unit1) = e10
& op1(unit1,e11) = e11
& op1(e11,unit1) = e11
& op1(unit1,e12) = e12
& op1(e12,unit1) = e12
& op1(unit1,e13) = e13
& op1(e13,unit1) = e13
& ( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = 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(ax24,axiom,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ) ).
fof(ax25,axiom,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ) ).
fof(ax26,axiom,
( h1(e12) = e20
& h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e13) = op2(e20,e20) ) ).
fof(ax27,axiom,
( h2(e12) = e21
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e13) = op2(e21,e21) ) ).
fof(ax28,axiom,
( h3(e12) = e22
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e13) = op2(e22,e22) ) ).
fof(ax29,axiom,
( h4(e12) = e23
& h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e13) = op2(e23,e23) ) ).
fof(co1,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ) ).
fof(definition_0,definition,
( definitionFOFtoCNF_106
<=> ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 ) ) ).
fof(definition_1,definition,
( definitionFOFtoCNF_107
<=> ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 ) ) ).
fof(subgoal_0,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) ) )
=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_1,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_2,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_3,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_4,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_5,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_6,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_7,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_8,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_9,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_10,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_11,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_12,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(strip,[],[co1]) ).
fof(subgoal_13,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(strip,[],[co1]) ).
fof(subgoal_14,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(strip,[],[co1]) ).
fof(subgoal_15,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(strip,[],[co1]) ).
fof(subgoal_16,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20 )
=> h4(e13) = e20 ),
inference(strip,[],[co1]) ).
fof(subgoal_17,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21 )
=> h4(e13) = e21 ),
inference(strip,[],[co1]) ).
fof(subgoal_18,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22 )
=> h4(e13) = e22 ),
inference(strip,[],[co1]) ).
fof(subgoal_19,plain,
( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23 )
=> h4(e13) = e23 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) ) )
=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( ( op2(e20,e20) = 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_0_1,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax18]) ).
fof(normalize_0_3,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_0_5,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_7,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_0_8,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_10,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_11,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_0_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_14,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_15,plain,
op2(e20,e22) != op2(e20,e23),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_16,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_17,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_0_18,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_20,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_21,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_0_22,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_24,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_25,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_26,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_0_17]) ).
fof(normalize_0_27,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_0_28,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_0_24,normalize_0_25,normalize_0_26,normalize_0_28]) ).
fof(normalize_0_30,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_32,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_33,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_34,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_35,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_36,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_37,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_38,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_39,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_40,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_0_41,plain,
op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_42,plain,
op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_43,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_44,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_45,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_0_46,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_0_45]) ).
fof(normalize_0_47,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_48,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_49,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_0_45]) ).
fof(normalize_0_50,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_0_45]) ).
fof(normalize_0_51,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_52,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_53,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_54,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_55,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_56,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_57,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_58,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_59,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_0_58]) ).
fof(normalize_0_60,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_61,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_0_60]) ).
fof(normalize_0_62,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(conjunct,[],[normalize_0_40]) ).
fof(normalize_0_63,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_0_60]) ).
fof(normalize_0_64,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_0_60]) ).
fof(normalize_0_65,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_66,plain,
op2(e20,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_67,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_68,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_69,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_70,plain,
op2(e20,e20) != op2(e20,e21),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_71,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_72,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_73,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_0_74,plain,
e20 != e21,
inference(conjunct,[],[normalize_0_73]) ).
fof(normalize_0_75,plain,
op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_76,plain,
op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_77,plain,
op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_78,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_79,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_80,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_81,plain,
op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_82,plain,
op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_83,plain,
op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_84,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_2,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_0_7,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_0_2,refute_0_6]) ).
cnf(refute_0_8,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_0_9,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_0_9,refute_0_1]) ).
cnf(refute_0_11,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_0_0,refute_0_10]) ).
cnf(refute_0_12,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_13,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_14,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_15,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_0_16,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_17,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_17]) ).
cnf(refute_0_19,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_0_20,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_22,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_0_23,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_0_25,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_0_20,refute_0_25]) ).
cnf(refute_0_27,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_0_14,refute_0_26]) ).
cnf(refute_0_28,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_0_29,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_30,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_0_33,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_35,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_36,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_0_38,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_39,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_39]) ).
cnf(refute_0_41,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_42,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_5,refute_0_41]) ).
cnf(refute_0_43,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_0_44,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_0_40,refute_0_43]) ).
cnf(refute_0_45,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_36,refute_0_44]) ).
cnf(refute_0_46,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_0_47,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_0_33,refute_0_47]) ).
cnf(refute_0_49,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_0_13,refute_0_48]) ).
cnf(refute_0_50,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_51,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_0_52,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_53,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_0_23,refute_0_53]) ).
cnf(refute_0_55,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_0_56,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_0_49,refute_0_56]) ).
cnf(refute_0_58,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_0_59,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_0_50,refute_0_59]) ).
cnf(refute_0_61,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_0_62,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( h4(e13) != e20
| op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_0_64,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
op2(e21,e22) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_0_49,refute_0_64]) ).
cnf(refute_0_66,plain,
( op2(e20,e22) != e20
| op2(e21,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_0_67,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_0_67,refute_0_12]) ).
cnf(refute_0_69,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_0_11,refute_0_68]) ).
cnf(refute_0_70,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_71,plain,
( op2(e20,e22) != e21
| op2(e23,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_72,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_27,refute_0_71]) ).
cnf(refute_0_73,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_0_72,refute_0_70]) ).
cnf(refute_0_74,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_0_69,refute_0_73]) ).
cnf(refute_0_75,plain,
op2(e20,e22) != op2(e20,e23),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_76,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_77,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_78,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_0_79,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_0_81,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_82,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_27,refute_0_82]) ).
cnf(refute_0_84,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_0_85,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_85]) ).
cnf(refute_0_87,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_0_88,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_0_76,refute_0_88]) ).
cnf(refute_0_90,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_91,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_0_92,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_93,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_93]) ).
cnf(refute_0_95,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_0_96,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_0_90,refute_0_96]) ).
cnf(refute_0_98,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_99,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_0_100,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_101,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_101]) ).
cnf(refute_0_103,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_0_104,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_0_98,refute_0_104]) ).
cnf(refute_0_106,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_0_107,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_0_108,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_0_106,refute_0_107]) ).
cnf(refute_0_109,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_0_49,refute_0_108]) ).
cnf(refute_0_110,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_0_111,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_0_105,refute_0_111]) ).
cnf(refute_0_113,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_0_114,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_115,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_115]) ).
cnf(refute_0_117,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_0_118,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_0_112,refute_0_118]) ).
cnf(refute_0_120,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_0_121,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_0_123,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_0_124,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_0_122,refute_0_123]) ).
cnf(refute_0_125,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_0_121,refute_0_124]) ).
cnf(refute_0_126,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_0_127,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_0_97,refute_0_127]) ).
cnf(refute_0_129,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_0_130,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_0_89,refute_0_130]) ).
cnf(refute_0_132,plain,
( op2(e20,e22) != h2(e13)
| op2(e20,e23) != h2(e13)
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,e23)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_0_133,plain,
( op2(e20,e22) != h2(e13)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
op2(e20,e22) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_0_133,refute_0_75]) ).
cnf(refute_0_135,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_136,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_137,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_0_138,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_0_140,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_0_141,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_0_139,refute_0_140]) ).
cnf(refute_0_142,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_0_138,refute_0_141]) ).
cnf(refute_0_143,plain,
( h1(e10) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e11),e20)
| h1(e10) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_0_144,plain,
( h1(e10) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e11),e20)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
h1(e10) = op2(h1(e11),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_0_135,refute_0_144]) ).
cnf(refute_0_146,plain,
h4(op1(e10,e10)) != op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_147,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_148,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_149,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_0_150,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_0_151,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_151]) ).
cnf(refute_0_153,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_0_154,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_0_148,refute_0_154]) ).
cnf(refute_0_156,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_157,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_158,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_0_159,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_160,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_160]) ).
cnf(refute_0_162,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_0_163,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_0_157,refute_0_163]) ).
cnf(refute_0_165,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_0_166,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_168,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_0_169,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_0_170,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_36,refute_0_170]) ).
cnf(refute_0_172,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_0_173,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_0_112,refute_0_173]) ).
cnf(refute_0_175,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_0_176,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_0_178,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_179,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_27,refute_0_179]) ).
cnf(refute_0_181,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_0_182,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_0_176,refute_0_182]) ).
cnf(refute_0_184,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_0_167,refute_0_183]) ).
cnf(refute_0_185,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_0_186,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_0_188,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_0_189,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_0_192,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_0_166,refute_0_192]) ).
cnf(refute_0_194,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_0_195,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_0_156,refute_0_195]) ).
cnf(refute_0_197,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_0_198,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_0_199,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_0_186,refute_0_199]) ).
cnf(refute_0_201,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_0_202,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_0_196,refute_0_202]) ).
cnf(refute_0_204,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_0_205,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_0_155,refute_0_205]) ).
cnf(refute_0_207,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_208,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_0_209,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_0_210,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_36,refute_0_210]) ).
cnf(refute_0_212,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_0_213,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_0_207,refute_0_213]) ).
cnf(refute_0_215,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_216,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_217,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_0_219,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_220,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_220]) ).
cnf(refute_0_222,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_0_223,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_217,refute_0_223]) ).
cnf(refute_0_225,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_0_226,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_0_214,refute_0_226]) ).
cnf(refute_0_228,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_0_229,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_230,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_0_131,refute_0_230]) ).
cnf(refute_0_232,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_0_233,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_0_206,refute_0_233]) ).
cnf(refute_0_235,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_0_236,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_0_227,refute_0_236]) ).
cnf(refute_0_238,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_0_239,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_0_206,refute_0_239]) ).
cnf(refute_0_241,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_242,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_0_243,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_0_244,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_36,refute_0_244]) ).
cnf(refute_0_246,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_0_247,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_249,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_0_250,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_0_252,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_0_250,refute_0_251]) ).
cnf(refute_0_253,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_0_247,refute_0_252]) ).
cnf(refute_0_254,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_0_241,refute_0_253]) ).
cnf(refute_0_255,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_0_256,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_257,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_257]) ).
cnf(refute_0_259,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_0_260,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_0_131,refute_0_260]) ).
cnf(refute_0_262,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_263,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_0_254,refute_0_263]) ).
cnf(refute_0_265,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_0_266,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_0_268,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_0_250,refute_0_267]) ).
cnf(refute_0_269,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_0_266,refute_0_268]) ).
cnf(refute_0_270,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_0_271,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_272,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_0_269,refute_0_272]) ).
cnf(refute_0_274,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_0_275,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_0_240,refute_0_275]) ).
cnf(refute_0_277,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_0_278,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_0_147,refute_0_278]) ).
cnf(refute_0_280,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_0_281,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_282,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_0_279,refute_0_282]) ).
cnf(refute_0_284,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_0_285,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_0_286,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_0_284,refute_0_285]) ).
cnf(refute_0_287,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_0_279,refute_0_286]) ).
cnf(refute_0_288,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_0_289,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_0_283,refute_0_289]) ).
cnf(refute_0_291,plain,
( h4(op1(e10,e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) ),[1],$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_0_292,plain,
( h4(op1(e10,e10)) != op2(h1(e13),h1(e13))
| h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
h4(op1(e10,e10)) != op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_0_292,refute_0_146]) ).
cnf(refute_0_294,plain,
op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_295,plain,
op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11)),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_296,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_297,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_298,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_299,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_0_300,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_0_302,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_303,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_0_301,refute_0_302]) ).
cnf(refute_0_304,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_300,refute_0_303]) ).
cnf(refute_0_305,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_0_306,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_0_297,refute_0_306]) ).
cnf(refute_0_308,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_309,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_310,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_0_311,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_312,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_300,refute_0_312]) ).
cnf(refute_0_314,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_0_315,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_317,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_0_318,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_0_320,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_0_315,refute_0_320]) ).
cnf(refute_0_322,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_0_309,refute_0_321]) ).
cnf(refute_0_323,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_0_324,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_325,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_0_323,refute_0_324]) ).
cnf(refute_0_326,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_0_322,refute_0_325]) ).
cnf(refute_0_327,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_0_328,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_0_330,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_331,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_300,refute_0_331]) ).
cnf(refute_0_333,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_0_334,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_0_328,refute_0_334]) ).
cnf(refute_0_336,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_0_308,refute_0_335]) ).
cnf(refute_0_337,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_0_338,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_0_340,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_0_341,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_0_344,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_0_307,refute_0_344]) ).
cnf(refute_0_346,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_0_347,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_0_349,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_350,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_0_348,refute_0_349]) ).
cnf(refute_0_351,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_0_322,refute_0_350]) ).
cnf(refute_0_352,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_0_353,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_0_351,refute_0_352]) ).
cnf(refute_0_354,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_0_347,refute_0_353]) ).
cnf(refute_0_355,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_0_296,refute_0_354]) ).
cnf(refute_0_356,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_0_357,plain,
op1(e13,e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
op1(e11,op1(e13,e11)) = op1(e11,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e11)))]]) ).
cnf(refute_0_359,plain,
( op1(e11,op1(e13,e11)) != op1(e11,op1(e13,e11))
| op1(e13,e11) != op1(e11,e13)
| op1(e11,op1(e13,e11)) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) ),[1,1],$fot(op1(e11,e13))]]) ).
cnf(refute_0_360,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e11,op1(e13,e11)) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) )],[refute_0_358,refute_0_359]) ).
cnf(refute_0_361,plain,
op1(e11,op1(e13,e11)) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_0_357,refute_0_360]) ).
cnf(refute_0_362,plain,
( op1(e11,op1(e13,e11)) != op1(e11,op1(e11,e13))
| op1(op1(e11,e13),e11) != op1(e11,op1(e13,e11))
| op1(op1(e11,e13),e11) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e13,e11))) ),[1],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_0_363,plain,
( op1(op1(e11,e13),e11) != op1(e11,op1(e13,e11))
| op1(op1(e11,e13),e11) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e11,e13))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
op1(op1(e11,e13),e11) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e13,e11))) )],[refute_0_295,refute_0_363]) ).
cnf(refute_0_365,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_366,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_0_367,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_368,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_0_318,refute_0_368]) ).
cnf(refute_0_370,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_0_371,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_0_365,refute_0_371]) ).
cnf(refute_0_373,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_0_374,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_0_376,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_377,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_380,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_0_307,refute_0_380]) ).
cnf(refute_0_382,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_0_383,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_0_381,refute_0_382]) ).
cnf(refute_0_384,plain,
op1(op1(e11,e13),e11) = op1(op1(e11,e13),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),e11))]]) ).
cnf(refute_0_385,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e11) != op1(op1(e11,e13),e11)
| op1(op1(e11,e13),e11) = op1(op1(e10,e12),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e11),op1(op1(e11,e13),e11)) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_386,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e11) = op1(op1(e10,e12),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(op1(e11,e13),e11)) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
op1(op1(e11,e13),e11) = op1(op1(e10,e12),e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e11,e13),e11) != op1(op1(e10,e12),e11)
| op1(op1(e11,e13),e11) = op1(e10,op1(e12,e11)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(op1(e11,e13),e11))),bind(Y,$fot(op1(op1(e10,e12),e11))),bind(Z,$fot(op1(e10,op1(e12,e11))))]]) ).
cnf(refute_0_389,plain,
( op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e11,e13),e11) = op1(e10,op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(op1(e10,e12),e11)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
op1(op1(e11,e13),e11) = op1(e10,op1(e12,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,op1(e12,e11))) )],[refute_0_294,refute_0_389]) ).
cnf(refute_0_391,plain,
( op1(op1(e11,e13),e11) != op1(e10,op1(e12,e11))
| op1(op1(e11,e13),e11) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e11,e13))) ),[0],$fot(op1(e10,op1(e12,e11)))]]) ).
cnf(refute_0_392,plain,
( op1(op1(e11,e13),e11) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e10,op1(e12,e11))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_394,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_395,plain,
op1(e10,op1(e11,e12)) = op1(e10,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_0_396,plain,
( op1(e10,op1(e11,e12)) != op1(e10,op1(e11,e12))
| op1(e11,e12) != e10
| op1(e10,op1(e11,e12)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_397,plain,
( op1(e11,e12) != e10
| op1(e10,op1(e11,e12)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,op1(e11,e12))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
op1(e10,op1(e11,e12)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_374,refute_0_397]) ).
cnf(refute_0_399,plain,
( op1(e10,op1(e11,e12)) != op1(e10,e10)
| op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) ),[1],$fot(op1(e10,e10))]]) ).
cnf(refute_0_400,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,e10)) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
op1(op1(e10,e11),e12) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_0_394,refute_0_400]) ).
cnf(refute_0_402,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_403,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_404,plain,
op1(op1(e13,e13),e11) = op1(op1(e13,e13),e11),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e11))]]) ).
cnf(refute_0_405,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) != op1(op1(e13,e13),e11)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_0_406,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_0_338,refute_0_406]) ).
cnf(refute_0_408,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(op1(e11,e12),e11)
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(op1(e13,e13),e11))),bind(Y,$fot(op1(op1(e11,e12),e11))),bind(Z,$fot(op1(e11,op1(e12,e11))))]]) ).
cnf(refute_0_409,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e11,e12),e11)) )],[refute_0_407,refute_0_408]) ).
cnf(refute_0_410,plain,
op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_0_402,refute_0_409]) ).
cnf(refute_0_411,plain,
( op1(op1(e13,e13),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) ),[0],$fot(op1(e11,op1(e12,e11)))]]) ).
cnf(refute_0_412,plain,
( op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e11,op1(e12,e11))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) )],[refute_0_403,refute_0_412]) ).
cnf(refute_0_414,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_415,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_416,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_0_417,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_0_418,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_0_338,refute_0_418]) ).
cnf(refute_0_420,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_0_421,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e11,e12))) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_0_415,refute_0_421]) ).
cnf(refute_0_423,plain,
op1(op1(e13,e11),e13) = op1(op1(e13,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e13))]]) ).
cnf(refute_0_424,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) != op1(op1(e13,e11),e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_0_425,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) )],[refute_0_423,refute_0_424]) ).
cnf(refute_0_426,plain,
op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_0_357,refute_0_425]) ).
cnf(refute_0_427,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(op1(e11,e13),e13)
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(op1(e13,e11),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_0_428,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e11,e13),e13)) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_0_422,refute_0_428]) ).
cnf(refute_0_430,plain,
( op1(op1(e13,e11),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_0_431,plain,
( op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e11,op1(e11,e12))) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) )],[refute_0_414,refute_0_431]) ).
cnf(refute_0_433,plain,
( op1(e11,op1(e11,e12)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e13,op1(e11,e13))))]]) ).
cnf(refute_0_434,plain,
op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e13,op1(e11,e13))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_0_436,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) ),[1,1],$fot(op1(e11,e13))]]) ).
cnf(refute_0_437,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_0_357,refute_0_437]) ).
cnf(refute_0_439,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(e13,op1(e13,e11)))),bind(Y,$fot(op1(e13,op1(e11,e13)))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_0_440,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e11,e13))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e11,op1(e11,e12))) )],[refute_0_434,refute_0_440]) ).
cnf(refute_0_442,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_0_443,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e11,op1(e11,e12))) )],[refute_0_441,refute_0_442]) ).
cnf(refute_0_444,plain,
op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e13,op1(e13,e11))) )],[refute_0_413,refute_0_443]) ).
cnf(refute_0_445,plain,
( op1(e11,op1(e12,e11)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_0_446,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_0_402,refute_0_446]) ).
cnf(refute_0_448,plain,
op1(op1(e11,e12),e11) = op1(op1(e11,e12),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e11))]]) ).
cnf(refute_0_449,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) != op1(op1(e11,e12),e11)
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_450,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) )],[refute_0_448,refute_0_449]) ).
cnf(refute_0_451,plain,
op1(op1(e11,e12),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_374,refute_0_450]) ).
cnf(refute_0_452,plain,
( op1(op1(e11,e12),e11) != op1(e10,e11)
| op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_0_453,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e10,e11)) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
op1(e11,op1(e11,e12)) = op1(e11,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_0_455,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_456,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
op1(e11,op1(e11,e12)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_374,refute_0_456]) ).
cnf(refute_0_458,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_0_459,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e12))) )],[refute_0_453,refute_0_459]) ).
cnf(refute_0_461,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) )],[refute_0_447,refute_0_460]) ).
cnf(refute_0_462,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_0_463,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_0_465,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_0_466,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
( op1(op1(e10,e11),e12) != op1(e10,e10)
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,e10) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_0_469,plain,
( op1(op1(e10,e11),e12) != op1(e10,e10)
| op1(op1(e11,e10),e12) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
op1(op1(e11,e10),e12) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e10)) )],[refute_0_401,refute_0_469]) ).
cnf(refute_0_471,plain,
( op1(op1(e11,e10),e12) != op1(e10,e10)
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,e10) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_0_472,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,e10) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,e10)) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
op1(e10,e10) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_0_393,refute_0_472]) ).
cnf(refute_0_474,plain,
( op1(e10,e10) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e10))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_0_475,plain,
op1(e11,op1(e10,e12)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,op1(e10,e12))) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_0_477,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_0_478,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_0_383,refute_0_478]) ).
cnf(refute_0_480,plain,
( op1(e11,op1(e10,e12)) != op1(e10,e10)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(e11,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e12)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_0_481,plain,
( op1(e11,op1(e10,e12)) != op1(e10,e10)
| op1(e11,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
op1(e11,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,e10)) )],[refute_0_475,refute_0_481]) ).
cnf(refute_0_483,plain,
( op1(e10,op1(e12,e11)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) != op1(e10,e10)
| op1(e10,op1(e12,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e12,e11)),op1(e10,e10)) ),[0],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_0_484,plain,
( op1(e10,op1(e12,e11)) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e10,e10)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
( op1(op1(e11,e13),e11) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e11)),op1(e11,op1(e11,e13))) )],[refute_0_392,refute_0_484]) ).
cnf(refute_0_486,plain,
op1(e10,op1(e12,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e11,e13))) )],[refute_0_364,refute_0_485]) ).
cnf(refute_0_487,plain,
( op1(e10,op1(e12,e11)) != op1(e10,e10)
| op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e10,e12),e11) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,op1(e12,e11))) ),[1],$fot(op1(e10,e10))]]) ).
cnf(refute_0_488,plain,
( op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e10,e12),e11) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e11)),op1(e10,e10)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
op1(op1(e10,e12),e11) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,op1(e12,e11))) )],[refute_0_294,refute_0_488]) ).
cnf(refute_0_490,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_491,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_0_492,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_493,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
op1(op1(e12,e12),e13) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_300,refute_0_493]) ).
cnf(refute_0_495,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) != op1(e13,e13)
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_0_496,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e13,e13)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_0_490,refute_0_496]) ).
cnf(refute_0_498,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_0_499,plain,
( op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_0_338,refute_0_498]) ).
cnf(refute_0_500,plain,
op1(e11,e12) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) )],[refute_0_497,refute_0_499]) ).
cnf(refute_0_501,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) ),[0],$fot(e10)]]) ).
cnf(refute_0_502,plain,
( op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_374,refute_0_501]) ).
cnf(refute_0_503,plain,
e10 = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) )],[refute_0_500,refute_0_502]) ).
cnf(refute_0_504,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_0_505,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_506,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_300,refute_0_506]) ).
cnf(refute_0_508,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_0_509,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_0_316,refute_0_509]) ).
cnf(refute_0_511,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_0_512,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_0_514,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_0_515,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_0_513,refute_0_514]) ).
cnf(refute_0_516,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_0_512,refute_0_515]) ).
cnf(refute_0_517,plain,
( e10 != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) != op1(e12,e11)
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[0],$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_0_518,plain,
( e10 != op1(e12,op1(e12,e13))
| e10 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
e10 = op1(e12,e11),
inference(resolve,[$cnf( $equal(e10,op1(e12,op1(e12,e13))) )],[refute_0_503,refute_0_518]) ).
cnf(refute_0_520,plain,
( e10 != op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_0_521,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_523,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_524,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_0_383,refute_0_523]) ).
cnf(refute_0_525,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_0_355,refute_0_524]) ).
cnf(refute_0_526,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_0_527,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_529,plain,
( op1(e13,e11) != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
( op1(e10,e12) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_0_522,refute_0_529]) ).
cnf(refute_0_531,plain,
( op1(e13,e11) != e11
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_532,plain,
( op1(e13,e11) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_0_527,refute_0_531]) ).
cnf(refute_0_533,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_0_530,refute_0_532]) ).
cnf(refute_0_534,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_535,plain,
( op1(e13,e11) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_0_527,refute_0_534]) ).
cnf(refute_0_536,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_0_533,refute_0_535]) ).
cnf(refute_0_537,plain,
( op1(e13,e11) != e13
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_538,plain,
( op1(e13,e11) != e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_0_527,refute_0_537]) ).
cnf(refute_0_539,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_0_536,refute_0_538]) ).
cnf(refute_0_540,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_541,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_542,plain,
op1(e12,op1(e11,e12)) = op1(e12,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e12)))]]) ).
cnf(refute_0_543,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_544,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_0_542,refute_0_543]) ).
cnf(refute_0_545,plain,
op1(e12,op1(e11,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_374,refute_0_544]) ).
cnf(refute_0_546,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e10)
| op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_0_547,plain,
( op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,e10)) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
op1(op1(e12,e11),e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) )],[refute_0_541,refute_0_547]) ).
cnf(refute_0_549,plain,
op1(op1(e12,e11),e12) = op1(op1(e12,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e12))]]) ).
cnf(refute_0_550,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) != op1(op1(e12,e11),e12)
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_551,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
op1(op1(e12,e11),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_0_521,refute_0_551]) ).
cnf(refute_0_553,plain,
( op1(op1(e12,e11),e12) != op1(e10,e12)
| op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_0_554,plain,
( op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e10,e12)) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
op1(e10,e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) )],[refute_0_548,refute_0_554]) ).
cnf(refute_0_556,plain,
( op1(e10,e12) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e12) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_0_557,plain,
op1(e12,e10) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e10)) )],[refute_0_555,refute_0_556]) ).
cnf(refute_0_558,plain,
( op1(e10,e12) != op1(e12,e11)
| op1(e12,e10) != op1(e10,e12)
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_0_559,plain,
( op1(e10,e12) != op1(e12,e11)
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
( op1(e10,e12) != e10
| op1(e12,e11) != e10
| op1(e10,e12) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_0_561,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_0_521,refute_0_560]) ).
cnf(refute_0_562,plain,
( op1(e10,e12) != e10
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e11)) )],[refute_0_561,refute_0_559]) ).
cnf(refute_0_563,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_0_562,refute_0_540]) ).
cnf(refute_0_564,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_0_539,refute_0_563]) ).
cnf(refute_0_565,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_566,plain,
( op1(e10,e12) != e11
| op1(e13,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_0_567,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_0_322,refute_0_566]) ).
cnf(refute_0_568,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_0_567,refute_0_565]) ).
cnf(refute_0_569,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_0_564,refute_0_568]) ).
cnf(refute_0_570,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_571,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_0_572,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_300,refute_0_571]) ).
cnf(refute_0_573,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_0_572,refute_0_570]) ).
cnf(refute_0_574,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_0_569,refute_0_573]) ).
cnf(refute_0_575,plain,
op1(op1(e10,e12),e11) = op1(op1(e10,e12),e11),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e11))]]) ).
cnf(refute_0_576,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e11) != op1(op1(e10,e12),e11)
| op1(op1(e10,e12),e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e11),op1(op1(e10,e12),e11)) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_577,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e11) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(op1(e10,e12),e11)) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
op1(op1(e10,e12),e11) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_574,refute_0_577]) ).
cnf(refute_0_579,plain,
( op1(e12,e11) != e10
| op1(op1(e10,e12),e11) != op1(e12,e11)
| op1(op1(e10,e12),e11) = e10 ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op1(op1(e10,e12),e11))),bind(Y,$fot(op1(e12,e11))),bind(Z,$fot(e10))]]) ).
cnf(refute_0_580,plain,
( op1(e12,e11) != e10
| op1(op1(e10,e12),e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e12,e11)) )],[refute_0_578,refute_0_579]) ).
cnf(refute_0_581,plain,
op1(op1(e10,e12),e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_0_521,refute_0_580]) ).
cnf(refute_0_582,plain,
( op1(op1(e10,e12),e11) != e10
| op1(op1(e10,e12),e11) != op1(e10,e10)
| e10 = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,e10)) ),[0],$fot(e10)]]) ).
cnf(refute_0_583,plain,
( op1(op1(e10,e12),e11) != op1(e10,e10)
| e10 = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),e10) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
e10 = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,e10)) )],[refute_0_489,refute_0_583]) ).
cnf(refute_0_585,plain,
( e10 != op1(e10,e10)
| op1(e10,e10) = e10 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e10,e10)))]]) ).
cnf(refute_0_586,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e10,e10)) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_0_588,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e10
| h4(op1(e10,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_589,plain,
( op1(e10,e10) != e10
| h4(op1(e10,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
h4(op1(e10,e10)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_586,refute_0_589]) ).
cnf(refute_0_591,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e10)) != h4(e10)
| h4(op1(e10,e10)) = h1(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_0_592,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e10)) )],[refute_0_590,refute_0_591]) ).
cnf(refute_0_593,plain,
h4(op1(e10,e10)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_0_279,refute_0_592]) ).
cnf(refute_0_594,plain,
( h1(e13) != op2(h1(e13),h1(e13))
| h4(op1(e10,e10)) != h1(e13)
| h4(op1(e10,e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) ),[1],$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_0_595,plain,
( h1(e13) != op2(h1(e13),h1(e13))
| h4(op1(e10,e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) )],[refute_0_593,refute_0_594]) ).
cnf(refute_0_596,plain,
h1(e13) != op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h1(e13),h1(e13))) )],[refute_0_595,refute_0_293]) ).
cnf(refute_0_597,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_598,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_599,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_598]) ).
cnf(refute_0_600,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_597,refute_0_599]) ).
cnf(refute_0_601,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_602,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_601]) ).
cnf(refute_0_603,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_0_600,refute_0_602]) ).
cnf(refute_0_604,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_605,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_604]) ).
cnf(refute_0_606,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_0_603,refute_0_605]) ).
cnf(refute_0_607,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_608,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_607]) ).
cnf(refute_0_609,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_0_606,refute_0_608]) ).
cnf(refute_0_610,plain,
op2(e20,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_611,plain,
( op2(e20,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_612,plain,
( op2(e20,e23) != h4(e13)
| op2(e20,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_36,refute_0_611]) ).
cnf(refute_0_613,plain,
op2(e20,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e23,e23)) )],[refute_0_612,refute_0_610]) ).
cnf(refute_0_614,plain,
( h2(e13) != h4(e13)
| op2(e20,e23) != h2(e13)
| op2(e20,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h2(e13)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_0_615,plain,
( h2(e13) != h4(e13)
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_0_131,refute_0_614]) ).
cnf(refute_0_616,plain,
( h2(e13) != e20
| h4(e13) != e20
| h2(e13) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_0_617,plain,
( h2(e13) != e20
| h2(e13) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_616]) ).
cnf(refute_0_618,plain,
( h2(e13) != e20
| op2(e20,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e13)) )],[refute_0_617,refute_0_615]) ).
cnf(refute_0_619,plain,
h2(e13) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),h4(e13)) )],[refute_0_618,refute_0_613]) ).
cnf(refute_0_620,plain,
( h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_0_609,refute_0_619]) ).
cnf(refute_0_621,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_622,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_623,plain,
op2(e23,op2(e21,e22)) = op2(e23,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e22)))]]) ).
cnf(refute_0_624,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) != op2(e23,op2(e21,e22))
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_0_625,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
op2(e23,op2(e21,e22)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_0_49,refute_0_625]) ).
cnf(refute_0_627,plain,
( op2(e23,op2(e21,e22)) != op2(e23,h4(e13))
| op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) ),[1],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_0_628,plain,
( op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,h4(e13))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
op2(op2(e23,e21),e22) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) )],[refute_0_622,refute_0_628]) ).
cnf(refute_0_630,plain,
op2(op2(e23,e21),e22) = op2(op2(e23,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e22))]]) ).
cnf(refute_0_631,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) != op2(op2(e23,e21),e22)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_0_632,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_0_186,refute_0_632]) ).
cnf(refute_0_634,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(op2(e21,e23),e22)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e23,e21),e22))),bind(Y,$fot(op2(op2(e21,e23),e22))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_0_635,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e21,e23),e22)) )],[refute_0_633,refute_0_634]) ).
cnf(refute_0_636,plain,
op2(op2(e23,e21),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_0_89,refute_0_635]) ).
cnf(refute_0_637,plain,
( op2(op2(e23,e21),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_0_638,plain,
( op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),h2(e13)) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
h2(e13) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) )],[refute_0_629,refute_0_638]) ).
cnf(refute_0_640,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_0_641,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_642,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_642]) ).
cnf(refute_0_644,plain,
( h2(e13) != op2(e23,h4(e13))
| op2(e23,h4(e13)) != op2(e23,e20)
| h2(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e20)) ),[0],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_0_645,plain,
( h2(e13) != op2(e23,h4(e13))
| h2(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_0_643,refute_0_644]) ).
cnf(refute_0_646,plain,
h2(e13) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e13))) )],[refute_0_639,refute_0_645]) ).
cnf(refute_0_647,plain,
( h2(e13) != op2(e23,e20)
| op2(e23,e20) = h2(e13) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_0_648,plain,
op2(e23,e20) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e20)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
( h2(e13) != op2(e23,e22)
| op2(e23,e20) != h2(e13)
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),h2(e13)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_0_650,plain,
( h2(e13) != op2(e23,e22)
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
( h2(e13) != e21
| op2(e23,e22) != e21
| h2(e13) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_0_652,plain,
( h2(e13) != e21
| h2(e13) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_27,refute_0_651]) ).
cnf(refute_0_653,plain,
( h2(e13) != e21
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e22)) )],[refute_0_652,refute_0_650]) ).
cnf(refute_0_654,plain,
h2(e13) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_0_653,refute_0_621]) ).
cnf(refute_0_655,plain,
( h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_0_620,refute_0_654]) ).
cnf(refute_0_656,plain,
( h2(e13) != e22
| op2(h2(e13),e23) != h1(e13)
| op2(e22,e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) ),[0,0],$fot(e22)]]) ).
cnf(refute_0_657,plain,
( op2(h2(e13),e23) != h1(e13)
| h2(e13) = e23
| op2(e22,e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
( h2(e13) = e23
| op2(e22,e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_0_240,refute_0_657]) ).
cnf(refute_0_659,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_0_660,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_661,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_661]) ).
cnf(refute_0_663,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_0_664,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_0_21,refute_0_664]) ).
cnf(refute_0_666,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_0_667,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
( op2(e22,e23) != e21
| op2(e22,e23) != h1(e13)
| e21 = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e23),h1(e13)) ),[0],$fot(e21)]]) ).
cnf(refute_0_669,plain,
( op2(e22,e23) != h1(e13)
| e21 = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_667,refute_0_668]) ).
cnf(refute_0_670,plain,
( e21 = h1(e13)
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),h1(e13)) )],[refute_0_658,refute_0_669]) ).
cnf(refute_0_671,plain,
( h2(e13) != e23
| op2(h2(e13),e23) != h1(e13)
| op2(e23,e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) ),[0,0],$fot(e23)]]) ).
cnf(refute_0_672,plain,
( op2(h2(e13),e23) != h1(e13)
| e21 = h1(e13)
| op2(e23,e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_0_670,refute_0_671]) ).
cnf(refute_0_673,plain,
( e21 = h1(e13)
| op2(e23,e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_0_240,refute_0_672]) ).
cnf(refute_0_674,plain,
( h4(e13) != e20
| h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_0_675,plain,
( h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_674]) ).
cnf(refute_0_676,plain,
e20 = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_0_34,refute_0_675]) ).
cnf(refute_0_677,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_678,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
( op2(e23,e23) != e20
| op2(e23,e23) != h1(e13)
| e20 = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e23),h1(e13)) ),[0],$fot(e20)]]) ).
cnf(refute_0_680,plain,
( op2(e23,e23) != h1(e13)
| e20 = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
( e20 = h1(e13)
| e21 = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h1(e13)) )],[refute_0_673,refute_0_680]) ).
cnf(refute_0_682,plain,
( e20 != h1(e13)
| h1(e13) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_0_683,plain,
( e21 = h1(e13)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
( h1(e13) != e20
| h1(e13) != op2(h1(e13),e20)
| h1(e13) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(h1(e13),h1(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_685,plain,
( h1(e13) != op2(h1(e13),e20)
| e21 = h1(e13)
| h1(e13) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
( h1(e13) != op2(h1(e13),e20)
| e21 = h1(e13) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),h1(e13))) )],[refute_0_685,refute_0_596]) ).
cnf(refute_0_687,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_688,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_0_689,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_0_690,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_217,refute_0_690]) ).
cnf(refute_0_692,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_0_693,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_0_691,refute_0_692]) ).
cnf(refute_0_694,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_695,plain,
( op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_0_138,refute_0_694]) ).
cnf(refute_0_696,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) )],[refute_0_693,refute_0_695]) ).
cnf(refute_0_697,plain,
op2(h1(e13),e20) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) )],[refute_0_687,refute_0_696]) ).
cnf(refute_0_698,plain,
( h1(e13) != h1(e11)
| op2(h1(e13),e20) != h1(e11)
| h1(e13) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(h1(e13),e20)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_699,plain,
( h1(e13) != h1(e11)
| h1(e13) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
( h1(e13) != h1(e11)
| e21 = h1(e13) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),e20)) )],[refute_0_699,refute_0_686]) ).
cnf(refute_0_701,plain,
( e21 != h1(e13)
| h1(e13) != h1(e11)
| e21 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,h1(e11)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_702,plain,
( h1(e13) != h1(e11)
| e21 = h1(e11) ),
inference(resolve,[$cnf( $equal(e21,h1(e13)) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
op2(e20,e20) != op2(e20,e21),
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_704,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_0_705,plain,
( h1(e13) != op2(e20,e21)
| op2(e20,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_217,refute_0_704]) ).
cnf(refute_0_706,plain,
h1(e13) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e21)) )],[refute_0_705,refute_0_703]) ).
cnf(refute_0_707,plain,
( h1(e13) != e20
| op2(h1(e13),e20) != h1(e11)
| op2(e20,e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) ),[0,0],$fot(e20)]]) ).
cnf(refute_0_708,plain,
( op2(h1(e13),e20) != h1(e11)
| e21 = h1(e13)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_683,refute_0_707]) ).
cnf(refute_0_709,plain,
( e21 = h1(e13)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_0_697,refute_0_708]) ).
cnf(refute_0_710,plain,
( op2(e20,e20) != h1(e11)
| op2(e20,e20) != h1(e13)
| h1(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e11)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_711,plain,
( op2(e20,e20) != h1(e11)
| h1(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_217,refute_0_710]) ).
cnf(refute_0_712,plain,
( e21 = h1(e13)
| h1(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_709,refute_0_711]) ).
cnf(refute_0_713,plain,
( e20 != h1(e13)
| h1(e13) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e11)) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_714,plain,
( e20 != h1(e13)
| e20 = h1(e11)
| e21 = h1(e13) ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e11)) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
( e20 = h1(e11)
| e21 = h1(e13) ),
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_0_681,refute_0_714]) ).
cnf(refute_0_716,plain,
( e21 != h1(e13)
| h1(e13) = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_0_717,plain,
( e20 = h1(e11)
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(e21,h1(e13)) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
( e21 != op2(e20,e21)
| h1(e13) != e21
| h1(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e21) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_0_719,plain,
( e21 != op2(e20,e21)
| e20 = h1(e11)
| h1(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
( e21 != op2(e20,e21)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e21)) )],[refute_0_719,refute_0_706]) ).
cnf(refute_0_721,plain,
( h1(e13) != e21
| op2(h1(e13),e20) != h1(e11)
| op2(e21,e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) ),[0,0],$fot(e21)]]) ).
cnf(refute_0_722,plain,
( op2(h1(e13),e20) != h1(e11)
| e20 = h1(e11)
| op2(e21,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_0_717,refute_0_721]) ).
cnf(refute_0_723,plain,
( e20 = h1(e11)
| op2(e21,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_0_697,refute_0_722]) ).
cnf(refute_0_724,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_725,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_0_726,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_727,plain,
( op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
op2(e20,op2(e23,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_0_27,refute_0_727]) ).
cnf(refute_0_729,plain,
( op2(e20,op2(e23,e22)) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_0_730,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,e21)) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_0_724,refute_0_730]) ).
cnf(refute_0_732,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_733,plain,
op2(op2(e21,e21),e22) = op2(op2(e21,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e22))]]) ).
cnf(refute_0_734,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) != op2(op2(e21,e21),e22)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_735,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
op2(op2(e21,e21),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_735]) ).
cnf(refute_0_737,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(op2(e21,e21),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) ),[0],$fot(op2(h2(e13),e22))]]) ).
cnf(refute_0_738,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(h2(e13),e22)) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
op2(h2(e13),e22) = op2(e21,op2(e21,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) )],[refute_0_732,refute_0_738]) ).
cnf(refute_0_740,plain,
op2(e21,op2(e21,e22)) = op2(e21,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e22)))]]) ).
cnf(refute_0_741,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) != op2(e21,op2(e21,e22))
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_0_742,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
op2(e21,op2(e21,e22)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_0_49,refute_0_742]) ).
cnf(refute_0_744,plain,
( op2(e21,op2(e21,e22)) != op2(e21,h4(e13))
| op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_0_745,plain,
( op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,h4(e13))) )],[refute_0_743,refute_0_744]) ).
cnf(refute_0_746,plain,
op2(h2(e13),e22) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) )],[refute_0_739,refute_0_745]) ).
cnf(refute_0_747,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_0_748,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_749,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_0_747,refute_0_748]) ).
cnf(refute_0_750,plain,
op2(e21,h4(e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_749]) ).
cnf(refute_0_751,plain,
( op2(e21,h4(e13)) != op2(e21,e20)
| op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_0_752,plain,
( op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_0_750,refute_0_751]) ).
cnf(refute_0_753,plain,
op2(h2(e13),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) )],[refute_0_746,refute_0_752]) ).
cnf(refute_0_754,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_0_755,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_756,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
op2(op2(e20,e23),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_0_131,refute_0_756]) ).
cnf(refute_0_758,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) != op2(h2(e13),e22)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e20,e23),e22))),bind(Y,$fot(op2(h2(e13),e22))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_0_759,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h2(e13),e22)) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
op2(op2(e20,e23),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_0_753,refute_0_759]) ).
cnf(refute_0_761,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e21,e20)
| op2(e21,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_0_762,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(e21,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e21,e20)) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
op2(e21,e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) )],[refute_0_731,refute_0_762]) ).
cnf(refute_0_764,plain,
( op2(e21,e20) != h1(e11)
| op2(e21,e20) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),h1(e11)) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_0_765,plain,
( op2(e21,e20) != h1(e11)
| op2(e20,e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
( e20 = h1(e11)
| op2(e20,e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_0_723,refute_0_765]) ).
cnf(refute_0_767,plain,
( e21 != h1(e11)
| op2(e20,e21) != h1(e11)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_768,plain,
( e21 != h1(e11)
| e20 = h1(e11)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
( e21 != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_0_768,refute_0_720]) ).
cnf(refute_0_770,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_0_771,plain,
( e21 != e21
| e21 != h1(e11)
| h1(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(e21,e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_772,plain,
( e21 != h1(e11)
| h1(e11) = e21 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
( e20 != h1(e11)
| h1(e11) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(h1(e11))]]) ).
cnf(refute_0_774,plain,
( e20 != h1(e11)
| e21 != h1(e11)
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h1(e11),e21) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
( e21 != h1(e11)
| e20 = e21 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_0_769,refute_0_774]) ).
cnf(refute_0_776,plain,
e20 != e21,
inference(canonicalize,[],[normalize_0_74]) ).
cnf(refute_0_777,plain,
e21 != h1(e11),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
h1(e13) != h1(e11),
inference(resolve,[$cnf( $equal(e21,h1(e11)) )],[refute_0_702,refute_0_777]) ).
cnf(refute_0_779,plain,
( h1(e13) = e21
| h1(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(e21,h1(e13)) )],[refute_0_712,refute_0_716]) ).
cnf(refute_0_780,plain,
( op2(h1(e13),e20) != h1(e11)
| h1(e13) = h1(e11)
| op2(e21,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_0_779,refute_0_721]) ).
cnf(refute_0_781,plain,
( h1(e13) = h1(e11)
| op2(e21,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_0_697,refute_0_780]) ).
cnf(refute_0_782,plain,
( h1(e13) = h1(e11)
| op2(e20,e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_0_781,refute_0_765]) ).
cnf(refute_0_783,plain,
( op2(h2(e13),e23) != h1(e13)
| h2(e13) = e22
| op2(e23,e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_0_655,refute_0_671]) ).
cnf(refute_0_784,plain,
( h2(e13) = e22
| op2(e23,e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_0_240,refute_0_783]) ).
cnf(refute_0_785,plain,
( e20 = h1(e13)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h1(e13)) )],[refute_0_784,refute_0_680]) ).
cnf(refute_0_786,plain,
op2(op2(e21,e20),e20) = op2(e21,op2(e20,e20)),
inference(canonicalize,[],[normalize_0_75]) ).
cnf(refute_0_787,plain,
op2(e21,op2(e20,e20)) = op2(e21,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e20)))]]) ).
cnf(refute_0_788,plain,
( op2(e20,e20) != h1(e13)
| op2(e21,op2(e20,e20)) != op2(e21,op2(e20,e20))
| op2(e21,op2(e20,e20)) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_789,plain,
( op2(e20,e20) != h1(e13)
| op2(e21,op2(e20,e20)) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,op2(e20,e20))) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
op2(e21,op2(e20,e20)) = op2(e21,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_217,refute_0_789]) ).
cnf(refute_0_791,plain,
( op2(e21,op2(e20,e20)) != op2(e21,h1(e13))
| op2(op2(e21,e20),e20) != op2(e21,op2(e20,e20))
| op2(op2(e21,e20),e20) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e20),op2(e21,op2(e20,e20))) ),[1],$fot(op2(e21,h1(e13)))]]) ).
cnf(refute_0_792,plain,
( op2(op2(e21,e20),e20) != op2(e21,op2(e20,e20))
| op2(op2(e21,e20),e20) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e20)),op2(e21,h1(e13))) )],[refute_0_790,refute_0_791]) ).
cnf(refute_0_793,plain,
op2(op2(e21,e20),e20) = op2(e21,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e20),op2(e21,op2(e20,e20))) )],[refute_0_786,refute_0_792]) ).
cnf(refute_0_794,plain,
op2(op2(e20,e21),e20) = op2(e20,op2(e21,e20)),
inference(canonicalize,[],[normalize_0_76]) ).
cnf(refute_0_795,plain,
op2(op2(e20,e20),e21) = op2(e20,op2(e20,e21)),
inference(canonicalize,[],[normalize_0_77]) ).
cnf(refute_0_796,plain,
op2(op2(e20,e20),e21) = op2(op2(e20,e20),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e21))]]) ).
cnf(refute_0_797,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e21) != op2(op2(e20,e20),e21)
| op2(op2(e20,e20),e21) = op2(h1(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e21),op2(op2(e20,e20),e21)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_0_798,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e21) = op2(h1(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e21),op2(op2(e20,e20),e21)) )],[refute_0_796,refute_0_797]) ).
cnf(refute_0_799,plain,
op2(op2(e20,e20),e21) = op2(h1(e13),e21),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_217,refute_0_798]) ).
cnf(refute_0_800,plain,
( op2(op2(e20,e20),e21) != op2(e20,op2(e20,e21))
| op2(op2(e20,e20),e21) != op2(h1(e13),e21)
| op2(h1(e13),e21) = op2(e20,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e21),op2(e20,op2(e20,e21))) ),[0],$fot(op2(h1(e13),e21))]]) ).
cnf(refute_0_801,plain,
( op2(op2(e20,e20),e21) != op2(e20,op2(e20,e21))
| op2(h1(e13),e21) = op2(e20,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e21),op2(h1(e13),e21)) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
op2(h1(e13),e21) = op2(e20,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e21),op2(e20,op2(e20,e21))) )],[refute_0_795,refute_0_801]) ).
cnf(refute_0_803,plain,
( op2(h1(e13),e21) != op2(e20,op2(e20,e21))
| op2(e20,op2(e20,e21)) = op2(h1(e13),e21) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(h1(e13),e21))),bind(Y,$fot(op2(e20,op2(e20,e21))))]]) ).
cnf(refute_0_804,plain,
op2(e20,op2(e20,e21)) = op2(h1(e13),e21),
inference(resolve,[$cnf( $equal(op2(h1(e13),e21),op2(e20,op2(e20,e21))) )],[refute_0_802,refute_0_803]) ).
cnf(refute_0_805,plain,
op2(e20,op2(e21,e20)) = op2(e20,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e20)))]]) ).
cnf(refute_0_806,plain,
( op2(e20,op2(e21,e20)) != op2(e20,op2(e21,e20))
| op2(e21,e20) != op2(e20,e21)
| op2(e20,op2(e21,e20)) = op2(e20,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) ),[1,1],$fot(op2(e20,e21))]]) ).
cnf(refute_0_807,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e20,op2(e21,e20)) = op2(e20,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e21,e20))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
op2(e20,op2(e21,e20)) = op2(e20,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_0_763,refute_0_807]) ).
cnf(refute_0_809,plain,
( op2(e20,op2(e20,e21)) != op2(h1(e13),e21)
| op2(e20,op2(e21,e20)) != op2(e20,op2(e20,e21))
| op2(e20,op2(e21,e20)) = op2(h1(e13),e21) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(e20,op2(e21,e20)))),bind(Y,$fot(op2(e20,op2(e20,e21)))),bind(Z,$fot(op2(h1(e13),e21)))]]) ).
cnf(refute_0_810,plain,
( op2(e20,op2(e20,e21)) != op2(h1(e13),e21)
| op2(e20,op2(e21,e20)) = op2(h1(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(e20,op2(e20,e21))) )],[refute_0_808,refute_0_809]) ).
cnf(refute_0_811,plain,
op2(e20,op2(e21,e20)) = op2(h1(e13),e21),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e21)),op2(h1(e13),e21)) )],[refute_0_804,refute_0_810]) ).
cnf(refute_0_812,plain,
( op2(e20,op2(e21,e20)) != op2(h1(e13),e21)
| op2(op2(e20,e21),e20) != op2(e20,op2(e21,e20))
| op2(op2(e20,e21),e20) = op2(h1(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e20),op2(e20,op2(e21,e20))) ),[1],$fot(op2(h1(e13),e21))]]) ).
cnf(refute_0_813,plain,
( op2(op2(e20,e21),e20) != op2(e20,op2(e21,e20))
| op2(op2(e20,e21),e20) = op2(h1(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e20)),op2(h1(e13),e21)) )],[refute_0_811,refute_0_812]) ).
cnf(refute_0_814,plain,
op2(op2(e20,e21),e20) = op2(h1(e13),e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e20),op2(e20,op2(e21,e20))) )],[refute_0_794,refute_0_813]) ).
cnf(refute_0_815,plain,
op2(op2(e21,e20),e20) = op2(op2(e21,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e20))]]) ).
cnf(refute_0_816,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e20) != op2(op2(e21,e20),e20)
| op2(op2(e21,e20),e20) = op2(op2(e20,e21),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e20),op2(op2(e21,e20),e20)) ),[1,0],$fot(op2(e20,e21))]]) ).
cnf(refute_0_817,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e20) = op2(op2(e20,e21),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e20),op2(op2(e21,e20),e20)) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
op2(op2(e21,e20),e20) = op2(op2(e20,e21),e20),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_0_763,refute_0_817]) ).
cnf(refute_0_819,plain,
( op2(op2(e20,e21),e20) != op2(h1(e13),e21)
| op2(op2(e21,e20),e20) != op2(op2(e20,e21),e20)
| op2(op2(e21,e20),e20) = op2(h1(e13),e21) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e21,e20),e20))),bind(Y,$fot(op2(op2(e20,e21),e20))),bind(Z,$fot(op2(h1(e13),e21)))]]) ).
cnf(refute_0_820,plain,
( op2(op2(e20,e21),e20) != op2(h1(e13),e21)
| op2(op2(e21,e20),e20) = op2(h1(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e20),op2(op2(e20,e21),e20)) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
op2(op2(e21,e20),e20) = op2(h1(e13),e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e20),op2(h1(e13),e21)) )],[refute_0_814,refute_0_820]) ).
cnf(refute_0_822,plain,
( op2(op2(e21,e20),e20) != op2(e21,h1(e13))
| op2(op2(e21,e20),e20) != op2(h1(e13),e21)
| op2(h1(e13),e21) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e20),op2(e21,h1(e13))) ),[0],$fot(op2(h1(e13),e21))]]) ).
cnf(refute_0_823,plain,
( op2(op2(e21,e20),e20) != op2(e21,h1(e13))
| op2(h1(e13),e21) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e20),op2(h1(e13),e21)) )],[refute_0_821,refute_0_822]) ).
cnf(refute_0_824,plain,
op2(h1(e13),e21) = op2(e21,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e20),op2(e21,h1(e13))) )],[refute_0_793,refute_0_823]) ).
cnf(refute_0_825,plain,
( e20 = h1(e13)
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(e21,h1(e13)) )],[refute_0_681,refute_0_716]) ).
cnf(refute_0_826,plain,
( h1(e13) != e21
| op2(h1(e13),e21) != op2(e21,h1(e13))
| op2(h1(e13),e21) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e21),op2(e21,h1(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_827,plain,
( op2(h1(e13),e21) != op2(e21,h1(e13))
| e20 = h1(e13)
| op2(h1(e13),e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
( e20 = h1(e13)
| op2(h1(e13),e21) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e21),op2(e21,h1(e13))) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
( op2(h1(e13),e21) != op2(e21,e21)
| op2(h1(e13),e21) != op2(e21,h1(e13))
| op2(e21,h1(e13)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e21),op2(e21,e21)) ),[0],$fot(op2(e21,h1(e13)))]]) ).
cnf(refute_0_830,plain,
( op2(h1(e13),e21) != op2(e21,e21)
| op2(e21,h1(e13)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e21),op2(e21,h1(e13))) )],[refute_0_824,refute_0_829]) ).
cnf(refute_0_831,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,h1(e13)) != op2(e21,e21)
| op2(e21,h1(e13)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e13)),op2(e21,e21)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_0_832,plain,
( op2(e21,h1(e13)) != op2(e21,e21)
| op2(e21,h1(e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_831]) ).
cnf(refute_0_833,plain,
( op2(h1(e13),e21) != op2(e21,e21)
| op2(e21,h1(e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e13)),op2(e21,e21)) )],[refute_0_830,refute_0_832]) ).
cnf(refute_0_834,plain,
( e20 = h1(e13)
| op2(e21,h1(e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e21),op2(e21,e21)) )],[refute_0_828,refute_0_833]) ).
cnf(refute_0_835,plain,
( op2(h1(e13),e21) != op2(e21,h1(e13))
| op2(op2(e20,e21),e20) != op2(h1(e13),e21)
| op2(op2(e20,e21),e20) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e20),op2(h1(e13),e21)) ),[1],$fot(op2(e21,h1(e13)))]]) ).
cnf(refute_0_836,plain,
( op2(op2(e20,e21),e20) != op2(h1(e13),e21)
| op2(op2(e20,e21),e20) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e21),op2(e21,h1(e13))) )],[refute_0_824,refute_0_835]) ).
cnf(refute_0_837,plain,
op2(op2(e20,e21),e20) = op2(e21,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e20),op2(h1(e13),e21)) )],[refute_0_814,refute_0_836]) ).
cnf(refute_0_838,plain,
( op2(h1(e13),e20) != h1(e11)
| e20 = h1(e13)
| op2(e21,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_0_825,refute_0_721]) ).
cnf(refute_0_839,plain,
( e20 = h1(e13)
| op2(e21,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_0_697,refute_0_838]) ).
cnf(refute_0_840,plain,
( e20 = h1(e13)
| op2(e20,e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),h1(e11)) )],[refute_0_839,refute_0_765]) ).
cnf(refute_0_841,plain,
( op2(e20,e21) != h1(e11)
| op2(op2(e20,e21),e20) != op2(e21,h1(e13))
| op2(h1(e11),e20) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e20),op2(e21,h1(e13))) ),[0,0],$fot(h1(e11))]]) ).
cnf(refute_0_842,plain,
( op2(op2(e20,e21),e20) != op2(e21,h1(e13))
| e20 = h1(e13)
| op2(h1(e11),e20) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
( e20 = h1(e13)
| op2(h1(e11),e20) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e20),op2(e21,h1(e13))) )],[refute_0_837,refute_0_842]) ).
cnf(refute_0_844,plain,
( h1(e10) != op2(h1(e11),e20)
| op2(h1(e11),e20) = h1(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(h1(e11),e20)))]]) ).
cnf(refute_0_845,plain,
op2(h1(e11),e20) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_0_145,refute_0_844]) ).
cnf(refute_0_846,plain,
( op2(h1(e11),e20) != h1(e10)
| op2(h1(e11),e20) != op2(e21,h1(e13))
| h1(e10) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e20),op2(e21,h1(e13))) ),[0],$fot(h1(e10))]]) ).
cnf(refute_0_847,plain,
( op2(h1(e11),e20) != op2(e21,h1(e13))
| h1(e10) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),h1(e10)) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
( e20 = h1(e13)
| h1(e10) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(e21,h1(e13))) )],[refute_0_843,refute_0_847]) ).
cnf(refute_0_849,plain,
( h1(e10) != op2(e21,h1(e13))
| op2(e21,h1(e13)) = h1(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(op2(e21,h1(e13))))]]) ).
cnf(refute_0_850,plain,
( e20 = h1(e13)
| op2(e21,h1(e13)) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),op2(e21,h1(e13))) )],[refute_0_848,refute_0_849]) ).
cnf(refute_0_851,plain,
( op2(e21,h1(e13)) != h1(e10)
| op2(e21,h1(e13)) != h2(e13)
| h1(e10) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e13)),h2(e13)) ),[0],$fot(h1(e10))]]) ).
cnf(refute_0_852,plain,
( op2(e21,h1(e13)) != h2(e13)
| e20 = h1(e13)
| h1(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e13)),h1(e10)) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
( e20 = h1(e13)
| h1(e10) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e13)),h2(e13)) )],[refute_0_834,refute_0_852]) ).
cnf(refute_0_854,plain,
( h1(e10) != h2(e13)
| h2(e13) = h1(e10) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(h1(e10))),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_0_855,plain,
( e20 = h1(e13)
| h2(e13) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e10),h2(e13)) )],[refute_0_853,refute_0_854]) ).
cnf(refute_0_856,plain,
( h2(e13) != e22
| h2(e13) != h1(e10)
| h1(e10) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e22) ),[0],$fot(h1(e10))]]) ).
cnf(refute_0_857,plain,
( h2(e13) != e22
| e20 = h1(e13)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),h1(e10)) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
( e20 = h1(e13)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_785,refute_0_857]) ).
cnf(refute_0_859,plain,
( h1(e10) = e22
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_0_858,refute_0_682]) ).
cnf(refute_0_860,plain,
( e21 != h1(e13)
| h1(e13) != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_0_861,plain,
( e21 != h1(e13)
| e21 = e20
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_859,refute_0_860]) ).
cnf(refute_0_862,plain,
( e20 = h1(e11)
| e21 = e20
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(e21,h1(e13)) )],[refute_0_715,refute_0_861]) ).
cnf(refute_0_863,plain,
( e21 != e20
| e20 = e21 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e21)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_864,plain,
e21 != e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_863,refute_0_776]) ).
cnf(refute_0_865,plain,
( e20 = h1(e11)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_0_862,refute_0_864]) ).
cnf(refute_0_866,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_0_867,plain,
( h1(e10) = e22
| h1(e11) = e20 ),
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
( h1(e11) != e20
| op2(e20,e21) != h1(e11)
| op2(e20,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_0_869,plain,
( op2(e20,e21) != h1(e11)
| h1(e10) = e22
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_0_867,refute_0_868]) ).
cnf(refute_0_870,plain,
( h1(e10) = e22
| h1(e13) = h1(e11)
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_0_782,refute_0_869]) ).
cnf(refute_0_871,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_0_78]) ).
cnf(refute_0_872,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_0_79]) ).
cnf(refute_0_873,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_0_874,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_875,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_875]) ).
cnf(refute_0_877,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_0_878,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_0_876,refute_0_877]) ).
cnf(refute_0_879,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_0_36,refute_0_878]) ).
cnf(refute_0_880,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_0_881,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_0_879,refute_0_880]) ).
cnf(refute_0_882,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_0_872,refute_0_881]) ).
cnf(refute_0_883,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_0_884,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_0_62,refute_0_883]) ).
cnf(refute_0_885,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_0_882,refute_0_884]) ).
cnf(refute_0_886,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_0_887,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_0_888,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_0_667,refute_0_888]) ).
cnf(refute_0_890,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_0_891,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_0_885,refute_0_891]) ).
cnf(refute_0_893,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_0_894,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
( op2(e20,e21) != e20
| op2(e22,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_0_896,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_0_894,refute_0_895]) ).
cnf(refute_0_897,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_0_896,refute_0_871]) ).
cnf(refute_0_898,plain,
( h1(e10) = e22
| h1(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_0_870,refute_0_897]) ).
cnf(refute_0_899,plain,
( h1(e11) != h1(e11)
| h1(e13) != h1(e11)
| h1(e13) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),h1(e11)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_0_900,plain,
( h1(e11) != h1(e11)
| h1(e10) = e22
| h1(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e11)) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
( h1(e11) != h1(e11)
| h1(e10) = e22 ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e11)) )],[refute_0_900,refute_0_778]) ).
cnf(refute_0_902,plain,
h1(e11) = h1(e11),
introduced(tautology,[refl,[$fot(h1(e11))]]) ).
cnf(refute_0_903,plain,
h1(e10) = e22,
inference(resolve,[$cnf( $equal(h1(e11),h1(e11)) )],[refute_0_902,refute_0_901]) ).
cnf(refute_0_904,plain,
( h1(e10) != e22
| h1(e10) != op2(h1(e11),e20)
| e22 = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) ),[0],$fot(e22)]]) ).
cnf(refute_0_905,plain,
( h1(e10) != op2(h1(e11),e20)
| e22 = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(h1(e10),e22) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(canonicalize,[],[normalize_0_80]) ).
cnf(refute_0_907,plain,
op2(e23,op2(e20,e20)) = op2(e23,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e20,e20)))]]) ).
cnf(refute_0_908,plain,
( op2(e20,e20) != h1(e13)
| op2(e23,op2(e20,e20)) != op2(e23,op2(e20,e20))
| op2(e23,op2(e20,e20)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_0_909,plain,
( op2(e20,e20) != h1(e13)
| op2(e23,op2(e20,e20)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
op2(e23,op2(e20,e20)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_0_217,refute_0_909]) ).
cnf(refute_0_911,plain,
( op2(e23,op2(e20,e20)) != op2(e23,h1(e13))
| op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(op2(e23,e20),e20) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) ),[1],$fot(op2(e23,h1(e13)))]]) ).
cnf(refute_0_912,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(op2(e23,e20),e20) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,h1(e13))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
op2(op2(e23,e20),e20) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) )],[refute_0_906,refute_0_912]) ).
cnf(refute_0_914,plain,
op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
inference(canonicalize,[],[normalize_0_81]) ).
cnf(refute_0_915,plain,
op2(op2(e21,e21),e20) = op2(op2(e21,e21),e20),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e20))]]) ).
cnf(refute_0_916,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e20) != op2(op2(e21,e21),e20)
| op2(op2(e21,e21),e20) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e20),op2(op2(e21,e21),e20)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_917,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e20) = op2(h2(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(op2(e21,e21),e20)) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
op2(op2(e21,e21),e20) = op2(h2(e13),e20),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_917]) ).
cnf(refute_0_919,plain,
( op2(op2(e21,e21),e20) != op2(e21,op2(e21,e20))
| op2(op2(e21,e21),e20) != op2(h2(e13),e20)
| op2(h2(e13),e20) = op2(e21,op2(e21,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e20),op2(e21,op2(e21,e20))) ),[0],$fot(op2(h2(e13),e20))]]) ).
cnf(refute_0_920,plain,
( op2(op2(e21,e21),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e21,op2(e21,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(h2(e13),e20)) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
op2(h2(e13),e20) = op2(e21,op2(e21,e20)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(e21,op2(e21,e20))) )],[refute_0_914,refute_0_920]) ).
cnf(refute_0_922,plain,
op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
inference(canonicalize,[],[normalize_0_82]) ).
cnf(refute_0_923,plain,
op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
inference(canonicalize,[],[normalize_0_83]) ).
cnf(refute_0_924,plain,
op2(e20,op2(e21,e21)) = op2(e20,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e21)))]]) ).
cnf(refute_0_925,plain,
( op2(e20,op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(e21,e21) != h2(e13)
| op2(e20,op2(e21,e21)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_0_926,plain,
( op2(e21,e21) != h2(e13)
| op2(e20,op2(e21,e21)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
op2(e20,op2(e21,e21)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_926]) ).
cnf(refute_0_928,plain,
( op2(e20,op2(e21,e21)) != op2(e20,h2(e13))
| op2(op2(e20,e21),e21) != op2(e20,op2(e21,e21))
| op2(op2(e20,e21),e21) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,op2(e21,e21))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_0_929,plain,
( op2(op2(e20,e21),e21) != op2(e20,op2(e21,e21))
| op2(op2(e20,e21),e21) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,h2(e13))) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
op2(op2(e20,e21),e21) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,op2(e21,e21))) )],[refute_0_923,refute_0_929]) ).
cnf(refute_0_931,plain,
op2(op2(e21,e20),e21) = op2(op2(e21,e20),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e21))]]) ).
cnf(refute_0_932,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e21) != op2(op2(e21,e20),e21)
| op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e21,e20),e21)) ),[1,0],$fot(op2(e20,e21))]]) ).
cnf(refute_0_933,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e21,e20),e21)) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_0_763,refute_0_933]) ).
cnf(refute_0_935,plain,
( op2(op2(e20,e21),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) != op2(op2(e20,e21),e21)
| op2(op2(e21,e20),e21) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e21,e20),e21))),bind(Y,$fot(op2(op2(e20,e21),e21))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_0_936,plain,
( op2(op2(e20,e21),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e20,e21),e21)) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
op2(op2(e21,e20),e21) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,h2(e13))) )],[refute_0_930,refute_0_936]) ).
cnf(refute_0_938,plain,
( op2(op2(e21,e20),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) != op2(e21,op2(e20,e21))
| op2(e20,h2(e13)) = op2(e21,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e21,op2(e20,e21))) ),[0],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_0_939,plain,
( op2(op2(e21,e20),e21) != op2(e21,op2(e20,e21))
| op2(e20,h2(e13)) = op2(e21,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e20,h2(e13))) )],[refute_0_937,refute_0_938]) ).
cnf(refute_0_940,plain,
op2(e20,h2(e13)) = op2(e21,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e21,op2(e20,e21))) )],[refute_0_922,refute_0_939]) ).
cnf(refute_0_941,plain,
( op2(e20,h2(e13)) != op2(e21,op2(e20,e21))
| op2(e21,op2(e20,e21)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e20,h2(e13)))),bind(Y,$fot(op2(e21,op2(e20,e21))))]]) ).
cnf(refute_0_942,plain,
op2(e21,op2(e20,e21)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e21,op2(e20,e21))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
op2(e21,op2(e21,e20)) = op2(e21,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e20)))]]) ).
cnf(refute_0_944,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,op2(e21,e20)) != op2(e21,op2(e21,e20))
| op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) ),[1,1],$fot(op2(e20,e21))]]) ).
cnf(refute_0_945,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) )],[refute_0_943,refute_0_944]) ).
cnf(refute_0_946,plain,
op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_0_763,refute_0_945]) ).
cnf(refute_0_947,plain,
( op2(e21,op2(e20,e21)) != op2(e20,h2(e13))
| op2(e21,op2(e21,e20)) != op2(e21,op2(e20,e21))
| op2(e21,op2(e21,e20)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(e21,op2(e21,e20)))),bind(Y,$fot(op2(e21,op2(e20,e21)))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_0_948,plain,
( op2(e21,op2(e20,e21)) != op2(e20,h2(e13))
| op2(e21,op2(e21,e20)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e20,e21))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
op2(e21,op2(e21,e20)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e21)),op2(e20,h2(e13))) )],[refute_0_942,refute_0_948]) ).
cnf(refute_0_950,plain,
( op2(e21,op2(e21,e20)) != op2(e20,h2(e13))
| op2(h2(e13),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e20),op2(e21,op2(e21,e20))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_0_951,plain,
( op2(h2(e13),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e20,h2(e13))) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
op2(h2(e13),e20) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e20),op2(e21,op2(e21,e20))) )],[refute_0_921,refute_0_951]) ).
cnf(refute_0_953,plain,
op2(op2(e23,e20),e20) = op2(op2(e23,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e23,e20),e20))]]) ).
cnf(refute_0_954,plain,
( op2(e23,e20) != h2(e13)
| op2(op2(e23,e20),e20) != op2(op2(e23,e20),e20)
| op2(op2(e23,e20),e20) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_0_955,plain,
( op2(e23,e20) != h2(e13)
| op2(op2(e23,e20),e20) = op2(h2(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
op2(op2(e23,e20),e20) = op2(h2(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_0_648,refute_0_955]) ).
cnf(refute_0_957,plain,
( op2(h2(e13),e20) != op2(e20,h2(e13))
| op2(op2(e23,e20),e20) != op2(h2(e13),e20)
| op2(op2(e23,e20),e20) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(op2(e23,e20),e20))),bind(Y,$fot(op2(h2(e13),e20))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_0_958,plain,
( op2(h2(e13),e20) != op2(e20,h2(e13))
| op2(op2(e23,e20),e20) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(h2(e13),e20)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
op2(op2(e23,e20),e20) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e20),op2(e20,h2(e13))) )],[refute_0_952,refute_0_958]) ).
cnf(refute_0_960,plain,
( op2(op2(e23,e20),e20) != op2(e20,h2(e13))
| op2(op2(e23,e20),e20) != op2(e23,h1(e13))
| op2(e20,h2(e13)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,h1(e13))) ),[0],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_0_961,plain,
( op2(op2(e23,e20),e20) != op2(e23,h1(e13))
| op2(e20,h2(e13)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e20,h2(e13))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
op2(e20,h2(e13)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,h1(e13))) )],[refute_0_913,refute_0_961]) ).
cnf(refute_0_963,plain,
( h2(e13) != e22
| op2(e20,h2(e13)) != op2(e23,h1(e13))
| op2(e20,e22) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e23,h1(e13))) ),[0,1],$fot(e22)]]) ).
cnf(refute_0_964,plain,
( op2(e20,h2(e13)) != op2(e23,h1(e13))
| e20 = h1(e13)
| op2(e20,e22) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_785,refute_0_963]) ).
cnf(refute_0_965,plain,
( e20 = h1(e13)
| op2(e20,e22) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e23,h1(e13))) )],[refute_0_962,refute_0_964]) ).
cnf(refute_0_966,plain,
( op2(e20,h2(e13)) != op2(e23,h1(e13))
| op2(e23,h1(e13)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(op2(e20,h2(e13)))),bind(Y,$fot(op2(e23,h1(e13))))]]) ).
cnf(refute_0_967,plain,
op2(e23,h1(e13)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e23,h1(e13))) )],[refute_0_962,refute_0_966]) ).
cnf(refute_0_968,plain,
( op2(e20,e22) != op2(e23,h1(e13))
| op2(e23,h1(e13)) != op2(e20,h2(e13))
| op2(e20,e22) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e20,h2(e13))) ),[0],$fot(op2(e23,h1(e13)))]]) ).
cnf(refute_0_969,plain,
( op2(e20,e22) != op2(e23,h1(e13))
| op2(e20,e22) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h1(e13)),op2(e20,h2(e13))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
( e20 = h1(e13)
| op2(e20,e22) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,h1(e13))) )],[refute_0_965,refute_0_969]) ).
cnf(refute_0_971,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(canonicalize,[],[normalize_0_84]) ).
cnf(refute_0_972,plain,
op2(e22,op2(e21,e21)) = op2(e22,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e21)))]]) ).
cnf(refute_0_973,plain,
( op2(e21,e21) != h2(e13)
| op2(e22,op2(e21,e21)) != op2(e22,op2(e21,e21))
| op2(e22,op2(e21,e21)) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_0_974,plain,
( op2(e21,e21) != h2(e13)
| op2(e22,op2(e21,e21)) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
op2(e22,op2(e21,e21)) = op2(e22,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_0_79,refute_0_974]) ).
cnf(refute_0_976,plain,
( op2(e22,op2(e21,e21)) != op2(e22,h2(e13))
| op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(op2(e22,e21),e21) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) ),[1],$fot(op2(e22,h2(e13)))]]) ).
cnf(refute_0_977,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(op2(e22,e21),e21) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,h2(e13))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
op2(op2(e22,e21),e21) = op2(e22,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) )],[refute_0_971,refute_0_977]) ).
cnf(refute_0_979,plain,
op2(op2(e22,e21),e21) = op2(op2(e22,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e21))]]) ).
cnf(refute_0_980,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e21) != op2(op2(e22,e21),e21)
| op2(op2(e22,e21),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_981,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
op2(op2(e22,e21),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_0_894,refute_0_981]) ).
cnf(refute_0_983,plain,
( op2(op2(e22,e21),e21) != op2(e20,e21)
| op2(op2(e22,e21),e21) != op2(e22,h2(e13))
| op2(e20,e21) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,h2(e13))) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_0_984,plain,
( op2(op2(e22,e21),e21) != op2(e22,h2(e13))
| op2(e20,e21) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e20,e21)) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
op2(e20,e21) = op2(e22,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,h2(e13))) )],[refute_0_978,refute_0_984]) ).
cnf(refute_0_986,plain,
( h2(e13) != e22
| op2(e20,e21) != op2(e22,h2(e13))
| op2(e20,e21) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),op2(e22,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_987,plain,
( op2(e20,e21) != op2(e22,h2(e13))
| h2(e13) = e23
| op2(e20,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_655,refute_0_986]) ).
cnf(refute_0_988,plain,
( h2(e13) = e23
| op2(e20,e21) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,h2(e13))) )],[refute_0_985,refute_0_987]) ).
cnf(refute_0_989,plain,
( op2(e20,e21) != op2(e22,e22)
| op2(e22,e22) != e23
| op2(e20,e21) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_990,plain,
( op2(e20,e21) != op2(e22,e22)
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_0_7,refute_0_989]) ).
cnf(refute_0_991,plain,
( h2(e13) = e23
| op2(e20,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e22)) )],[refute_0_988,refute_0_990]) ).
cnf(refute_0_992,plain,
( op2(e20,e21) != e23
| op2(e20,e21) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h1(e11)) ),[0],$fot(e23)]]) ).
cnf(refute_0_993,plain,
( op2(e20,e21) != h1(e11)
| e23 = h1(e11)
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
( e20 = h1(e13)
| e23 = h1(e11)
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_0_840,refute_0_993]) ).
cnf(refute_0_995,plain,
( h2(e13) != e23
| op2(e20,e22) != op2(e20,h2(e13))
| op2(e20,e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),op2(e20,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_996,plain,
( op2(e20,e22) != op2(e20,h2(e13))
| e20 = h1(e13)
| e23 = h1(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
( e20 = h1(e13)
| e23 = h1(e11)
| op2(e20,e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,h2(e13))) )],[refute_0_970,refute_0_996]) ).
cnf(refute_0_998,plain,
( op2(e20,e22) != op2(e20,e23)
| op2(e20,e23) != h2(e13)
| op2(e20,e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_0_999,plain,
( op2(e20,e22) != op2(e20,e23)
| op2(e20,e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_0_131,refute_0_998]) ).
cnf(refute_0_1000,plain,
( e20 = h1(e13)
| e23 = h1(e11)
| op2(e20,e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e23)) )],[refute_0_997,refute_0_999]) ).
cnf(refute_0_1001,plain,
( e20 = h1(e13)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e13)) )],[refute_0_1000,refute_0_134]) ).
cnf(refute_0_1002,plain,
( e23 = h1(e11)
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_0_1001,refute_0_682]) ).
cnf(refute_0_1003,plain,
( op2(h1(e13),e20) != h1(e11)
| e23 = h1(e11)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_0_1002,refute_0_707]) ).
cnf(refute_0_1004,plain,
( e23 = h1(e11)
| op2(e20,e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_0_697,refute_0_1003]) ).
cnf(refute_0_1005,plain,
( e23 = h1(e11)
| h1(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e11)) )],[refute_0_1004,refute_0_711]) ).
cnf(refute_0_1006,plain,
( h1(e11) != h1(e11)
| e23 = h1(e11)
| h1(e13) = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e11)) )],[refute_0_1005,refute_0_899]) ).
cnf(refute_0_1007,plain,
( h1(e11) != h1(e11)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e11)) )],[refute_0_1006,refute_0_778]) ).
cnf(refute_0_1008,plain,
e23 = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),h1(e11)) )],[refute_0_902,refute_0_1007]) ).
cnf(refute_0_1009,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_0_1010,plain,
h1(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_0_1008,refute_0_1009]) ).
cnf(refute_0_1011,plain,
op2(h1(e11),e20) = op2(h1(e11),e20),
introduced(tautology,[refl,[$fot(op2(h1(e11),e20))]]) ).
cnf(refute_0_1012,plain,
( h1(e11) != e23
| op2(h1(e11),e20) != op2(h1(e11),e20)
| op2(h1(e11),e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_1013,plain,
( h1(e11) != e23
| op2(h1(e11),e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) )],[refute_0_1011,refute_0_1012]) ).
cnf(refute_0_1014,plain,
op2(h1(e11),e20) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_0_1010,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( op2(e23,e20) != h2(e13)
| op2(h1(e11),e20) != op2(e23,e20)
| op2(h1(e11),e20) = h2(e13) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(op2(h1(e11),e20))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_0_1016,plain,
( op2(e23,e20) != h2(e13)
| op2(h1(e11),e20) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(e23,e20)) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
op2(h1(e11),e20) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_0_648,refute_0_1016]) ).
cnf(refute_0_1018,plain,
( e22 != op2(h1(e11),e20)
| op2(h1(e11),e20) != h2(e13)
| e22 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h2(e13)) ),[0],$fot(op2(h1(e11),e20))]]) ).
cnf(refute_0_1019,plain,
( e22 != op2(h1(e11),e20)
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),h2(e13)) )],[refute_0_1017,refute_0_1018]) ).
cnf(refute_0_1020,plain,
( h1(e10) != op2(h1(e11),e20)
| e22 = h2(e13) ),
inference(resolve,[$cnf( $equal(e22,op2(h1(e11),e20)) )],[refute_0_905,refute_0_1019]) ).
cnf(refute_0_1021,plain,
e22 = h2(e13),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_0_145,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( e22 != h2(e13)
| h2(e13) = e22 ),
inference(subst,[],[refute_0_5:[bind(X,$fot(e22)),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_0_1023,plain,
h2(e13) = e22,
inference(resolve,[$cnf( $equal(e22,h2(e13)) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
( h2(e13) != e22
| op2(e20,e22) != e22
| op2(e20,e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_0_1025,plain,
( op2(e20,e22) != e22
| op2(e20,e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
op2(e20,e22) != e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e13)) )],[refute_0_1025,refute_0_134]) ).
cnf(refute_0_1027,plain,
$false,
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_0_74,refute_0_1026]) ).
fof(negate_1_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
( op2(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_1,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_1_3,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_5,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_6,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_7,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_1_8,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_9,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_10,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_11,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_1_12,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_1_11]) ).
fof(normalize_1_13,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_14,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_1_15,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_16,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_1_7]) ).
fof(normalize_1_17,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_18,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_19,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_20,plain,
h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
inference(conjunct,[],[normalize_1_11]) ).
fof(normalize_1_21,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_1_11]) ).
fof(normalize_1_22,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_23,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_24,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_1_11]) ).
fof(normalize_1_25,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_1_26,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_1_25]) ).
fof(normalize_1_27,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_1_22,normalize_1_23,normalize_1_24,normalize_1_26]) ).
fof(normalize_1_28,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_29,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_30,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_31,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_1_14]) ).
fof(normalize_1_32,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_33,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_34,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_35,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_36,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_37,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_38,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_39,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_40,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_41,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_42,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_1_43,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_1_42]) ).
fof(normalize_1_44,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_1_42]) ).
fof(normalize_1_45,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_46,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_1_42]) ).
fof(normalize_1_47,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_48,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_49,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_50,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_51,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_1_52,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_1_51]) ).
fof(normalize_1_53,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_54,plain,
op1(e12,e10) != op1(e12,e11),
inference(conjunct,[],[normalize_1_53]) ).
fof(normalize_1_55,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_56,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_57,plain,
op1(e11,e13) != op1(e12,e13),
inference(conjunct,[],[normalize_1_53]) ).
fof(normalize_1_58,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_1_53]) ).
fof(normalize_1_59,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_60,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_61,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(conjunct,[],[normalize_1_60]) ).
fof(normalize_1_62,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_63,plain,
op2(e21,e21) != op2(e21,e22),
inference(conjunct,[],[normalize_1_62]) ).
fof(normalize_1_64,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_1_62]) ).
fof(normalize_1_65,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_66,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_67,plain,
op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_68,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_69,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_70,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_71,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_1_62]) ).
fof(normalize_1_72,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_73,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(conjunct,[],[normalize_1_0]) ).
fof(normalize_1_74,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(conjunct,[],[normalize_1_27]) ).
fof(normalize_1_75,plain,
op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_76,plain,
op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_77,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_78,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(conjunct,[],[normalize_1_37]) ).
fof(normalize_1_79,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_1_62]) ).
cnf(refute_1_0,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_1_1]) ).
cnf(refute_1_1,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_1_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_1_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_1_2,refute_1_3]) ).
cnf(refute_1_5,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_6,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_1_1,refute_1_5]) ).
cnf(refute_1_7,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_1_8,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_9,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_1_7,refute_1_8]) ).
cnf(refute_1_10,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_9]) ).
cnf(refute_1_11,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_1_12,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_1_10,refute_1_11]) ).
cnf(refute_1_13,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_1_4]) ).
cnf(refute_1_14,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_1_15,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_1_13,refute_1_14]) ).
cnf(refute_1_16,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_1_17,plain,
( op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_1_15,refute_1_16]) ).
cnf(refute_1_18,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) )],[refute_1_12,refute_1_17]) ).
cnf(refute_1_19,plain,
op2(h1(e13),e20) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) )],[refute_1_0,refute_1_18]) ).
cnf(refute_1_20,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_1_5]) ).
cnf(refute_1_21,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_22,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_23,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_1_24,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_1_22,refute_1_23]) ).
cnf(refute_1_25,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_1_26,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_27,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_1_25,refute_1_26]) ).
cnf(refute_1_28,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_24,refute_1_27]) ).
cnf(refute_1_29,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_1_30,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_1_28,refute_1_29]) ).
cnf(refute_1_31,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_32,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_1_33,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_1_31,refute_1_32]) ).
cnf(refute_1_34,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_1_35,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_1_33,refute_1_34]) ).
cnf(refute_1_36,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_1_30,refute_1_35]) ).
cnf(refute_1_37,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_1_21,refute_1_36]) ).
cnf(refute_1_38,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_1_39,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_40,plain,
( op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_1_38,refute_1_39]) ).
cnf(refute_1_41,plain,
op2(e20,op2(e23,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_37,refute_1_40]) ).
cnf(refute_1_42,plain,
( op2(e20,op2(e23,e22)) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_43,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,e21)) )],[refute_1_41,refute_1_42]) ).
cnf(refute_1_44,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_1_20,refute_1_43]) ).
cnf(refute_1_45,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_46,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_1_12]) ).
cnf(refute_1_47,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_48,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_1_46,refute_1_47]) ).
cnf(refute_1_49,plain,
op2(op2(e21,e21),e22) = op2(op2(e21,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e22))]]) ).
cnf(refute_1_50,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) != op2(op2(e21,e21),e22)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_51,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) )],[refute_1_49,refute_1_50]) ).
cnf(refute_1_52,plain,
op2(op2(e21,e21),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_48,refute_1_51]) ).
cnf(refute_1_53,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(op2(e21,e21),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) ),[0],$fot(op2(h2(e13),e22))]]) ).
cnf(refute_1_54,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(h2(e13),e22)) )],[refute_1_52,refute_1_53]) ).
cnf(refute_1_55,plain,
op2(h2(e13),e22) = op2(e21,op2(e21,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) )],[refute_1_45,refute_1_54]) ).
cnf(refute_1_56,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_1_13]) ).
cnf(refute_1_57,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_1_58,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_59,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_1_57,refute_1_58]) ).
cnf(refute_1_60,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_37,refute_1_59]) ).
cnf(refute_1_61,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_1_62,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_1_60,refute_1_61]) ).
cnf(refute_1_63,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_1_15]) ).
cnf(refute_1_64,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_1_65,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_1_63,refute_1_64]) ).
cnf(refute_1_66,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_1_67,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_68,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_1_66,refute_1_67]) ).
cnf(refute_1_69,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_24,refute_1_68]) ).
cnf(refute_1_70,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_1_71,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_1_4,refute_1_70]) ).
cnf(refute_1_72,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_1_73,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_1_69,refute_1_72]) ).
cnf(refute_1_74,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_65,refute_1_73]) ).
cnf(refute_1_75,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_1_76,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_1_74,refute_1_75]) ).
cnf(refute_1_77,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_1_62,refute_1_76]) ).
cnf(refute_1_78,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_1_56,refute_1_77]) ).
cnf(refute_1_79,plain,
op2(e21,op2(e21,e22)) = op2(e21,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e22)))]]) ).
cnf(refute_1_80,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) != op2(e21,op2(e21,e22))
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_1_81,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) )],[refute_1_79,refute_1_80]) ).
cnf(refute_1_82,plain,
op2(e21,op2(e21,e22)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_1_78,refute_1_81]) ).
cnf(refute_1_83,plain,
( op2(e21,op2(e21,e22)) != op2(e21,h4(e13))
| op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_1_84,plain,
( op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,h4(e13))) )],[refute_1_82,refute_1_83]) ).
cnf(refute_1_85,plain,
op2(h2(e13),e22) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) )],[refute_1_55,refute_1_84]) ).
cnf(refute_1_86,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_1_16]) ).
cnf(refute_1_87,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_1_88,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_89,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_1_87,refute_1_88]) ).
cnf(refute_1_90,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_1_33,refute_1_89]) ).
cnf(refute_1_91,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_1_92,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_1_90,refute_1_91]) ).
cnf(refute_1_93,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_1_78,refute_1_92]) ).
cnf(refute_1_94,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_1_95,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_1_93,refute_1_94]) ).
cnf(refute_1_96,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_1_86,refute_1_95]) ).
cnf(refute_1_97,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_1_98,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_1_96,refute_1_97]) ).
cnf(refute_1_99,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_1_100,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_101,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_1_99,refute_1_100]) ).
cnf(refute_1_102,plain,
op2(e21,h4(e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_98,refute_1_101]) ).
cnf(refute_1_103,plain,
( op2(e21,h4(e13)) != op2(e21,e20)
| op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_1_104,plain,
( op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_1_102,refute_1_103]) ).
cnf(refute_1_105,plain,
op2(h2(e13),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) )],[refute_1_85,refute_1_104]) ).
cnf(refute_1_106,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_1_17]) ).
cnf(refute_1_107,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_1_108,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_109,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_1_107,refute_1_108]) ).
cnf(refute_1_110,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_37,refute_1_109]) ).
cnf(refute_1_111,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_1_112,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_1_110,refute_1_111]) ).
cnf(refute_1_113,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_48,refute_1_112]) ).
cnf(refute_1_114,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_1_115,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_1_113,refute_1_114]) ).
cnf(refute_1_116,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_1_106,refute_1_115]) ).
cnf(refute_1_117,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_1_18]) ).
cnf(refute_1_118,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_1_119,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_120,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_1_118,refute_1_119]) ).
cnf(refute_1_121,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_24,refute_1_120]) ).
cnf(refute_1_122,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_1_123,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_1_121,refute_1_122]) ).
cnf(refute_1_124,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_1_117,refute_1_123]) ).
cnf(refute_1_125,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_1_19]) ).
cnf(refute_1_126,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_1_127,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_128,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_1_126,refute_1_127]) ).
cnf(refute_1_129,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_24,refute_1_128]) ).
cnf(refute_1_130,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_131,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_1_129,refute_1_130]) ).
cnf(refute_1_132,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_1_125,refute_1_131]) ).
cnf(refute_1_133,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_1_134,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_1_135,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_1_133,refute_1_134]) ).
cnf(refute_1_136,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_1_78,refute_1_135]) ).
cnf(refute_1_137,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_1_138,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_1_136,refute_1_137]) ).
cnf(refute_1_139,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_1_132,refute_1_138]) ).
cnf(refute_1_140,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_1_141,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_142,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_1_140,refute_1_141]) ).
cnf(refute_1_143,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_98,refute_1_142]) ).
cnf(refute_1_144,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_1_145,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_1_143,refute_1_144]) ).
cnf(refute_1_146,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_1_139,refute_1_145]) ).
cnf(refute_1_147,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_1_148,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_1_146,refute_1_147]) ).
cnf(refute_1_149,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_1_150,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_1_151,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_1_149,refute_1_150]) ).
cnf(refute_1_152,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_1_148,refute_1_151]) ).
cnf(refute_1_153,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_1_154,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_1_152,refute_1_153]) ).
cnf(refute_1_155,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_1_124,refute_1_154]) ).
cnf(refute_1_156,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_1_157,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_1_155,refute_1_156]) ).
cnf(refute_1_158,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_1_116,refute_1_157]) ).
cnf(refute_1_159,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_1_160,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_161,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_1_159,refute_1_160]) ).
cnf(refute_1_162,plain,
op2(op2(e20,e23),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_161]) ).
cnf(refute_1_163,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) != op2(h2(e13),e22)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e20,e23),e22))),bind(Y,$fot(op2(h2(e13),e22))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_1_164,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h2(e13),e22)) )],[refute_1_162,refute_1_163]) ).
cnf(refute_1_165,plain,
op2(op2(e20,e23),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_1_105,refute_1_164]) ).
cnf(refute_1_166,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e21,e20)
| op2(e21,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_1_167,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(e21,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e21,e20)) )],[refute_1_165,refute_1_166]) ).
cnf(refute_1_168,plain,
op2(e21,e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) )],[refute_1_44,refute_1_167]) ).
cnf(refute_1_169,plain,
h2(e10) = op2(op2(e21,op2(e21,e21)),e21),
inference(canonicalize,[],[normalize_1_20]) ).
cnf(refute_1_170,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_1_21]) ).
cnf(refute_1_171,plain,
( h2(e11) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = h2(e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).
cnf(refute_1_172,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,op2(e21,e21))) )],[refute_1_170,refute_1_171]) ).
cnf(refute_1_173,plain,
op2(op2(e21,op2(e21,e21)),e21) = op2(op2(e21,op2(e21,e21)),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,op2(e21,e21)),e21))]]) ).
cnf(refute_1_174,plain,
( op2(e21,op2(e21,e21)) != h2(e11)
| op2(op2(e21,op2(e21,e21)),e21) != op2(op2(e21,op2(e21,e21)),e21)
| op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(op2(e21,op2(e21,e21)),e21)) ),[1,0],$fot(h2(e11))]]) ).
cnf(refute_1_175,plain,
( op2(e21,op2(e21,e21)) != h2(e11)
| op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(op2(e21,op2(e21,e21)),e21)) )],[refute_1_173,refute_1_174]) ).
cnf(refute_1_176,plain,
op2(op2(e21,op2(e21,e21)),e21) = op2(h2(e11),e21),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e11)) )],[refute_1_172,refute_1_175]) ).
cnf(refute_1_177,plain,
( h2(e10) != op2(op2(e21,op2(e21,e21)),e21)
| op2(op2(e21,op2(e21,e21)),e21) != op2(h2(e11),e21)
| h2(e10) = op2(h2(e11),e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(h2(e11),e21)) ),[0],$fot(op2(op2(e21,op2(e21,e21)),e21))]]) ).
cnf(refute_1_178,plain,
( h2(e10) != op2(op2(e21,op2(e21,e21)),e21)
| h2(e10) = op2(h2(e11),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,op2(e21,e21)),e21),op2(h2(e11),e21)) )],[refute_1_176,refute_1_177]) ).
cnf(refute_1_179,plain,
h2(e10) = op2(h2(e11),e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(op2(e21,op2(e21,e21)),e21)) )],[refute_1_169,refute_1_178]) ).
cnf(refute_1_180,plain,
h4(op1(e10,e11)) != op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_1_28]) ).
cnf(refute_1_181,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_29]) ).
cnf(refute_1_182,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_1_183,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_1_184,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_1_182,refute_1_183]) ).
cnf(refute_1_185,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_65,refute_1_184]) ).
cnf(refute_1_186,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_1_187,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_1_185,refute_1_186]) ).
cnf(refute_1_188,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_30]) ).
cnf(refute_1_189,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_1_190,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_1_188,refute_1_189]) ).
cnf(refute_1_191,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_1_192,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_1_190,refute_1_191]) ).
cnf(refute_1_193,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_1_187,refute_1_192]) ).
cnf(refute_1_194,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_1_181,refute_1_193]) ).
cnf(refute_1_195,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_1_196,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_197,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_1_195,refute_1_196]) ).
cnf(refute_1_198,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_98,refute_1_197]) ).
cnf(refute_1_199,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_1_200,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_1_198,refute_1_199]) ).
cnf(refute_1_201,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_200]) ).
cnf(refute_1_202,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_203,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_1_201,refute_1_202]) ).
cnf(refute_1_204,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_1_194,refute_1_203]) ).
cnf(refute_1_205,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_1_206,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_1_204,refute_1_205]) ).
cnf(refute_1_207,plain,
op2(h1(e13),h4(e11)) = op2(h1(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e11)))]]) ).
cnf(refute_1_208,plain,
( h4(e11) != h2(e13)
| op2(h1(e13),h4(e11)) != op2(h1(e13),h4(e11))
| op2(h1(e13),h4(e11)) = op2(h1(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_1_209,plain,
( h4(e11) != h2(e13)
| op2(h1(e13),h4(e11)) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h4(e11))) )],[refute_1_207,refute_1_208]) ).
cnf(refute_1_210,plain,
op2(h1(e13),h4(e11)) = op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_1_206,refute_1_209]) ).
cnf(refute_1_211,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_1_31]) ).
cnf(refute_1_212,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_1_32]) ).
cnf(refute_1_213,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_1_214,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_1_215,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_1_213,refute_1_214]) ).
cnf(refute_1_216,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_48,refute_1_215]) ).
cnf(refute_1_217,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_1_218,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_1_216,refute_1_217]) ).
cnf(refute_1_219,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_1_212,refute_1_218]) ).
cnf(refute_1_220,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_1_33]) ).
cnf(refute_1_221,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_1_34]) ).
cnf(refute_1_222,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_1_223,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_224,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_1_222,refute_1_223]) ).
cnf(refute_1_225,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_48,refute_1_224]) ).
cnf(refute_1_226,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_1_227,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_1_225,refute_1_226]) ).
cnf(refute_1_228,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_1_221,refute_1_227]) ).
cnf(refute_1_229,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_1_230,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_1_228,refute_1_229]) ).
cnf(refute_1_231,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_1_35]) ).
cnf(refute_1_232,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_1_233,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_1_234,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_1_232,refute_1_233]) ).
cnf(refute_1_235,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_65,refute_1_234]) ).
cnf(refute_1_236,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_1_237,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_1_235,refute_1_236]) ).
cnf(refute_1_238,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_1_139,refute_1_237]) ).
cnf(refute_1_239,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_1_240,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_1_238,refute_1_239]) ).
cnf(refute_1_241,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_1_242,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_243,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_1_241,refute_1_242]) ).
cnf(refute_1_244,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_37,refute_1_243]) ).
cnf(refute_1_245,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_1_246,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_1_244,refute_1_245]) ).
cnf(refute_1_247,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_1_240,refute_1_246]) ).
cnf(refute_1_248,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_1_231,refute_1_247]) ).
cnf(refute_1_249,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_1_250,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_1_248,refute_1_249]) ).
cnf(refute_1_251,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_1_252,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_253,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_1_251,refute_1_252]) ).
cnf(refute_1_254,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_1_250,refute_1_253]) ).
cnf(refute_1_255,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_1_256,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_1_254,refute_1_255]) ).
cnf(refute_1_257,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_1_230,refute_1_256]) ).
cnf(refute_1_258,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_1_259,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_1_257,refute_1_258]) ).
cnf(refute_1_260,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_1_220,refute_1_259]) ).
cnf(refute_1_261,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_1_262,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_1_263,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_1_261,refute_1_262]) ).
cnf(refute_1_264,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_1_250,refute_1_263]) ).
cnf(refute_1_265,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_1_266,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_1_264,refute_1_265]) ).
cnf(refute_1_267,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_1_260,refute_1_266]) ).
cnf(refute_1_268,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_1_269,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_1_267,refute_1_268]) ).
cnf(refute_1_270,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_1_219,refute_1_269]) ).
cnf(refute_1_271,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_36]) ).
cnf(refute_1_272,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_1_273,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_1_274,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_1_272,refute_1_273]) ).
cnf(refute_1_275,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_65,refute_1_274]) ).
cnf(refute_1_276,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_1_277,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_1_275,refute_1_276]) ).
cnf(refute_1_278,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_1_271,refute_1_277]) ).
cnf(refute_1_279,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_1_280,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_281,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_1_279,refute_1_280]) ).
cnf(refute_1_282,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_98,refute_1_281]) ).
cnf(refute_1_283,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_1_284,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_1_282,refute_1_283]) ).
cnf(refute_1_285,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_284]) ).
cnf(refute_1_286,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_1_287,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_1_285,refute_1_286]) ).
cnf(refute_1_288,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_1_278,refute_1_287]) ).
cnf(refute_1_289,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_1_290,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_291,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_1_289,refute_1_290]) ).
cnf(refute_1_292,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_291]) ).
cnf(refute_1_293,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_1_294,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_1_292,refute_1_293]) ).
cnf(refute_1_295,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_1_270,refute_1_294]) ).
cnf(refute_1_296,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_1_297,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_1_295,refute_1_296]) ).
cnf(refute_1_298,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_1_288,refute_1_297]) ).
cnf(refute_1_299,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_1_300,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_1_298,refute_1_299]) ).
cnf(refute_1_301,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_1_270,refute_1_300]) ).
cnf(refute_1_302,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_1_303,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_1_190,refute_1_302]) ).
cnf(refute_1_304,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_1_206,refute_1_303]) ).
cnf(refute_1_305,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_1_306,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_307,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_1_305,refute_1_306]) ).
cnf(refute_1_308,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_1_304,refute_1_307]) ).
cnf(refute_1_309,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_1_310,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_1_308,refute_1_309]) ).
cnf(refute_1_311,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_1_301,refute_1_310]) ).
cnf(refute_1_312,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_1_313,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_1_311,refute_1_312]) ).
cnf(refute_1_314,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_1_211,refute_1_313]) ).
cnf(refute_1_315,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_1_316,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_317,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_1_315,refute_1_316]) ).
cnf(refute_1_318,plain,
op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_314,refute_1_317]) ).
cnf(refute_1_319,plain,
( op2(h1(e13),h4(e11)) != op2(h1(e13),h2(e13))
| op2(h4(e10),h4(e11)) != op2(h1(e13),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h2(e13)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(h1(e13),h4(e11)))),bind(Z,$fot(op2(h1(e13),h2(e13))))]]) ).
cnf(refute_1_320,plain,
( op2(h1(e13),h4(e11)) != op2(h1(e13),h2(e13))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h1(e13),h4(e11))) )],[refute_1_318,refute_1_319]) ).
cnf(refute_1_321,plain,
op2(h4(e10),h4(e11)) = op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h2(e13))) )],[refute_1_210,refute_1_320]) ).
cnf(refute_1_322,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h2(e13))
| op2(h4(e10),h4(e11)) != op2(h1(e13),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) ),[1],$fot(op2(h1(e13),h2(e13)))]]) ).
cnf(refute_1_323,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h2(e13))
| h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h1(e13),h2(e13))) )],[refute_1_321,refute_1_322]) ).
cnf(refute_1_324,plain,
h4(op1(e10,e11)) != op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_1_323,refute_1_180]) ).
cnf(refute_1_325,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(canonicalize,[],[normalize_1_38]) ).
cnf(refute_1_326,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_1_39]) ).
cnf(refute_1_327,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_1_40]) ).
cnf(refute_1_328,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_1_41]) ).
cnf(refute_1_329,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_1_43]) ).
cnf(refute_1_330,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_1_331,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_1_329,refute_1_330]) ).
cnf(refute_1_332,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_1_333,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_334,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_1_332,refute_1_333]) ).
cnf(refute_1_335,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_331,refute_1_334]) ).
cnf(refute_1_336,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_1_337,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_1_335,refute_1_336]) ).
cnf(refute_1_338,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_1_44]) ).
cnf(refute_1_339,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_1_340,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_1_338,refute_1_339]) ).
cnf(refute_1_341,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_1_342,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_1_340,refute_1_341]) ).
cnf(refute_1_343,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_1_337,refute_1_342]) ).
cnf(refute_1_344,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_1_328,refute_1_343]) ).
cnf(refute_1_345,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_1_346,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_347,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_1_345,refute_1_346]) ).
cnf(refute_1_348,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_1_344,refute_1_347]) ).
cnf(refute_1_349,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_1_350,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_1_348,refute_1_349]) ).
cnf(refute_1_351,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_1_352,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_353,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_1_351,refute_1_352]) ).
cnf(refute_1_354,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_331,refute_1_353]) ).
cnf(refute_1_355,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_1_356,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_1_354,refute_1_355]) ).
cnf(refute_1_357,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_1_350,refute_1_356]) ).
cnf(refute_1_358,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_1_327,refute_1_357]) ).
cnf(refute_1_359,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_1_360,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_1_358,refute_1_359]) ).
cnf(refute_1_361,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_1_362,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_1_363,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_1_361,refute_1_362]) ).
cnf(refute_1_364,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_1_360,refute_1_363]) ).
cnf(refute_1_365,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_1_366,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e11,e12))) )],[refute_1_364,refute_1_365]) ).
cnf(refute_1_367,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_1_326,refute_1_366]) ).
cnf(refute_1_368,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_1_45]) ).
cnf(refute_1_369,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_1_370,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_371,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_1_369,refute_1_370]) ).
cnf(refute_1_372,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_331,refute_1_371]) ).
cnf(refute_1_373,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_374,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_1_372,refute_1_373]) ).
cnf(refute_1_375,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_1_368,refute_1_374]) ).
cnf(refute_1_376,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_1_46]) ).
cnf(refute_1_377,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_1_378,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_379,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_1_377,refute_1_378]) ).
cnf(refute_1_380,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_1_340,refute_1_379]) ).
cnf(refute_1_381,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_1_382,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_1_380,refute_1_381]) ).
cnf(refute_1_383,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_1_376,refute_1_382]) ).
cnf(refute_1_384,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_1_385,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_1_383,refute_1_384]) ).
cnf(refute_1_386,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_1_387,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_388,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_1_386,refute_1_387]) ).
cnf(refute_1_389,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_385,refute_1_388]) ).
cnf(refute_1_390,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_391,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_1_389,refute_1_390]) ).
cnf(refute_1_392,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_1_375,refute_1_391]) ).
cnf(refute_1_393,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_1_394,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_1_392,refute_1_393]) ).
cnf(refute_1_395,plain,
op1(op1(e11,e13),e13) = op1(op1(e11,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),e13))]]) ).
cnf(refute_1_396,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_1_397,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e11,e13),e13)) )],[refute_1_395,refute_1_396]) ).
cnf(refute_1_398,plain,
op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_1_394,refute_1_397]) ).
cnf(refute_1_399,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) != op1(op1(e10,e12),e13)
| op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e11,e13),e13))),bind(Y,$fot(op1(op1(e10,e12),e13))),bind(Z,$fot(op1(e10,op1(e12,e13))))]]) ).
cnf(refute_1_400,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e10,e12),e13)) )],[refute_1_398,refute_1_399]) ).
cnf(refute_1_401,plain,
op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_1_325,refute_1_400]) ).
cnf(refute_1_402,plain,
( op1(op1(e11,e13),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,op1(e12,e13)))]]) ).
cnf(refute_1_403,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e10,op1(e12,e13))) )],[refute_1_401,refute_1_402]) ).
cnf(refute_1_404,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(canonicalize,[],[normalize_1_47]) ).
cnf(refute_1_405,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(canonicalize,[],[normalize_1_48]) ).
cnf(refute_1_406,plain,
op1(op1(e13,e13),e11) = op1(op1(e13,e13),e11),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e11))]]) ).
cnf(refute_1_407,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) != op1(op1(e13,e13),e11)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_1_408,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) )],[refute_1_406,refute_1_407]) ).
cnf(refute_1_409,plain,
op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_1_360,refute_1_408]) ).
cnf(refute_1_410,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(op1(e11,e12),e11)
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e13,e13),e11))),bind(Y,$fot(op1(op1(e11,e12),e11))),bind(Z,$fot(op1(e11,op1(e12,e11))))]]) ).
cnf(refute_1_411,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e11,e12),e11)) )],[refute_1_409,refute_1_410]) ).
cnf(refute_1_412,plain,
op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_1_404,refute_1_411]) ).
cnf(refute_1_413,plain,
( op1(op1(e13,e13),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) ),[0],$fot(op1(e11,op1(e12,e11)))]]) ).
cnf(refute_1_414,plain,
( op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e11,op1(e12,e11))) )],[refute_1_412,refute_1_413]) ).
cnf(refute_1_415,plain,
op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) )],[refute_1_405,refute_1_414]) ).
cnf(refute_1_416,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(canonicalize,[],[normalize_1_49]) ).
cnf(refute_1_417,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_1_50]) ).
cnf(refute_1_418,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_1_419,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_1_420,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_1_418,refute_1_419]) ).
cnf(refute_1_421,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_1_360,refute_1_420]) ).
cnf(refute_1_422,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_1_423,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_1_421,refute_1_422]) ).
cnf(refute_1_424,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_1_375,refute_1_423]) ).
cnf(refute_1_425,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_1_426,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_1_424,refute_1_425]) ).
cnf(refute_1_427,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_1_428,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_1_429,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_1_427,refute_1_428]) ).
cnf(refute_1_430,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_1_344,refute_1_429]) ).
cnf(refute_1_431,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_1_432,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_1_430,refute_1_431]) ).
cnf(refute_1_433,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_1_426,refute_1_432]) ).
cnf(refute_1_434,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_1_417,refute_1_433]) ).
cnf(refute_1_435,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e13) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_1_436,plain,
op1(e13,e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_1_434,refute_1_435]) ).
cnf(refute_1_437,plain,
op1(op1(e13,e11),e13) = op1(op1(e13,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e13))]]) ).
cnf(refute_1_438,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) != op1(op1(e13,e11),e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_1_439,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) )],[refute_1_437,refute_1_438]) ).
cnf(refute_1_440,plain,
op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_1_436,refute_1_439]) ).
cnf(refute_1_441,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(op1(e11,e13),e13)
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e13,e11),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_1_442,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e11,e13),e13)) )],[refute_1_440,refute_1_441]) ).
cnf(refute_1_443,plain,
op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_1_367,refute_1_442]) ).
cnf(refute_1_444,plain,
( op1(op1(e13,e11),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_1_445,plain,
( op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e11,op1(e11,e12))) )],[refute_1_443,refute_1_444]) ).
cnf(refute_1_446,plain,
op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) )],[refute_1_416,refute_1_445]) ).
cnf(refute_1_447,plain,
( op1(e11,op1(e11,e12)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e13,op1(e11,e13))))]]) ).
cnf(refute_1_448,plain,
op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e13,op1(e11,e13))) )],[refute_1_446,refute_1_447]) ).
cnf(refute_1_449,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_1_450,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) ),[1,1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_451,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) )],[refute_1_449,refute_1_450]) ).
cnf(refute_1_452,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_1_436,refute_1_451]) ).
cnf(refute_1_453,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(e13,op1(e13,e11)))),bind(Y,$fot(op1(e13,op1(e11,e13)))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_1_454,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e11,e13))) )],[refute_1_452,refute_1_453]) ).
cnf(refute_1_455,plain,
op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e11,op1(e11,e12))) )],[refute_1_448,refute_1_454]) ).
cnf(refute_1_456,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_1_457,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e11,op1(e11,e12))) )],[refute_1_455,refute_1_456]) ).
cnf(refute_1_458,plain,
op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e13,op1(e13,e11))) )],[refute_1_415,refute_1_457]) ).
cnf(refute_1_459,plain,
( op1(e11,op1(e12,e11)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_1_460,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) )],[refute_1_458,refute_1_459]) ).
cnf(refute_1_461,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_1_404,refute_1_460]) ).
cnf(refute_1_462,plain,
op1(op1(e11,e12),e11) = op1(op1(e11,e12),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e11))]]) ).
cnf(refute_1_463,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) != op1(op1(e11,e12),e11)
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_464,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) )],[refute_1_462,refute_1_463]) ).
cnf(refute_1_465,plain,
op1(op1(e11,e12),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_385,refute_1_464]) ).
cnf(refute_1_466,plain,
( op1(op1(e11,e12),e11) != op1(e10,e11)
| op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_1_467,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e10,e11)) )],[refute_1_465,refute_1_466]) ).
cnf(refute_1_468,plain,
op1(e11,op1(e11,e12)) = op1(e11,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_1_469,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_470,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) )],[refute_1_468,refute_1_469]) ).
cnf(refute_1_471,plain,
op1(e11,op1(e11,e12)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_385,refute_1_470]) ).
cnf(refute_1_472,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_1_473,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_1_471,refute_1_472]) ).
cnf(refute_1_474,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e12))) )],[refute_1_467,refute_1_473]) ).
cnf(refute_1_475,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) )],[refute_1_461,refute_1_474]) ).
cnf(refute_1_476,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_1_477,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_1_475,refute_1_476]) ).
cnf(refute_1_478,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e11,op1(e11,e12)) = op1(e10,e11) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e11,e10))),bind(Z,$fot(op1(e10,e11)))]]) ).
cnf(refute_1_479,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,op1(e11,e12)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_1_471,refute_1_478]) ).
cnf(refute_1_480,plain,
op1(e11,op1(e11,e12)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_1_477,refute_1_479]) ).
cnf(refute_1_481,plain,
( op1(e10,op1(e12,e13)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e10,e11)
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_1_482,plain,
( op1(e10,op1(e12,e13)) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e10,e11)) )],[refute_1_480,refute_1_481]) ).
cnf(refute_1_483,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e11,op1(e11,e12))) )],[refute_1_403,refute_1_482]) ).
cnf(refute_1_484,plain,
op1(e10,op1(e12,e13)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_1_367,refute_1_483]) ).
cnf(refute_1_485,plain,
( op1(e10,op1(e12,e13)) != op1(e10,e11)
| op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_1_486,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) )],[refute_1_484,refute_1_485]) ).
cnf(refute_1_487,plain,
op1(op1(e10,e12),e13) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_1_325,refute_1_486]) ).
cnf(refute_1_488,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_1_489,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_1_490,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_1_488,refute_1_489]) ).
cnf(refute_1_491,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_331,refute_1_490]) ).
cnf(refute_1_492,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_1_493,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_1_491,refute_1_492]) ).
cnf(refute_1_494,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_1_338,refute_1_493]) ).
cnf(refute_1_495,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_1_496,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_1_494,refute_1_495]) ).
cnf(refute_1_497,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_1_52]) ).
cnf(refute_1_498,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_499,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_1_394,refute_1_498]) ).
cnf(refute_1_500,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_1_434,refute_1_499]) ).
cnf(refute_1_501,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_1_502,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_1_500,refute_1_501]) ).
cnf(refute_1_503,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_504,plain,
( op1(e13,e11) != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_1_502,refute_1_503]) ).
cnf(refute_1_505,plain,
( op1(e10,e12) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_1_497,refute_1_504]) ).
cnf(refute_1_506,plain,
( op1(e13,e11) != e11
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_507,plain,
( op1(e13,e11) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_1_502,refute_1_506]) ).
cnf(refute_1_508,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_1_505,refute_1_507]) ).
cnf(refute_1_509,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_510,plain,
( op1(e13,e11) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_1_502,refute_1_509]) ).
cnf(refute_1_511,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_1_508,refute_1_510]) ).
cnf(refute_1_512,plain,
( op1(e13,e11) != e13
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_513,plain,
( op1(e13,e11) != e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_1_502,refute_1_512]) ).
cnf(refute_1_514,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_1_511,refute_1_513]) ).
cnf(refute_1_515,plain,
op1(e12,e10) != op1(e12,e11),
inference(canonicalize,[],[normalize_1_54]) ).
cnf(refute_1_516,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(canonicalize,[],[normalize_1_55]) ).
cnf(refute_1_517,plain,
op1(e12,op1(e11,e12)) = op1(e12,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e12)))]]) ).
cnf(refute_1_518,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_519,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_1_517,refute_1_518]) ).
cnf(refute_1_520,plain,
op1(e12,op1(e11,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_385,refute_1_519]) ).
cnf(refute_1_521,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e10)
| op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_1_522,plain,
( op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,e10)) )],[refute_1_520,refute_1_521]) ).
cnf(refute_1_523,plain,
op1(op1(e12,e11),e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) )],[refute_1_516,refute_1_522]) ).
cnf(refute_1_524,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_1_56]) ).
cnf(refute_1_525,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_1_526,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_1_527,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_1_525,refute_1_526]) ).
cnf(refute_1_528,plain,
op1(op1(e12,e12),e13) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_331,refute_1_527]) ).
cnf(refute_1_529,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) != op1(e13,e13)
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_1_530,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e13,e13)) )],[refute_1_528,refute_1_529]) ).
cnf(refute_1_531,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_1_524,refute_1_530]) ).
cnf(refute_1_532,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_1_533,plain,
( op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_1_360,refute_1_532]) ).
cnf(refute_1_534,plain,
op1(e11,e12) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) )],[refute_1_531,refute_1_533]) ).
cnf(refute_1_535,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) ),[0],$fot(e10)]]) ).
cnf(refute_1_536,plain,
( op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_385,refute_1_535]) ).
cnf(refute_1_537,plain,
e10 = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) )],[refute_1_534,refute_1_536]) ).
cnf(refute_1_538,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_1_539,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_1_540,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_1_538,refute_1_539]) ).
cnf(refute_1_541,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_496,refute_1_540]) ).
cnf(refute_1_542,plain,
( e10 != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) != op1(e12,e11)
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[0],$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_1_543,plain,
( e10 != op1(e12,op1(e12,e13))
| e10 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_1_541,refute_1_542]) ).
cnf(refute_1_544,plain,
e10 = op1(e12,e11),
inference(resolve,[$cnf( $equal(e10,op1(e12,op1(e12,e13))) )],[refute_1_537,refute_1_543]) ).
cnf(refute_1_545,plain,
( e10 != op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_1_546,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_1_544,refute_1_545]) ).
cnf(refute_1_547,plain,
op1(op1(e12,e11),e12) = op1(op1(e12,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e12))]]) ).
cnf(refute_1_548,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) != op1(op1(e12,e11),e12)
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_549,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) )],[refute_1_547,refute_1_548]) ).
cnf(refute_1_550,plain,
op1(op1(e12,e11),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_1_546,refute_1_549]) ).
cnf(refute_1_551,plain,
( op1(op1(e12,e11),e12) != op1(e10,e12)
| op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_552,plain,
( op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e10,e12)) )],[refute_1_550,refute_1_551]) ).
cnf(refute_1_553,plain,
op1(e10,e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) )],[refute_1_523,refute_1_552]) ).
cnf(refute_1_554,plain,
( op1(e10,e12) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e12) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_1_555,plain,
op1(e12,e10) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e10)) )],[refute_1_553,refute_1_554]) ).
cnf(refute_1_556,plain,
( op1(e10,e12) != op1(e12,e11)
| op1(e12,e10) != op1(e10,e12)
| op1(e12,e10) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) ),[1],$fot(op1(e12,e11))]]) ).
cnf(refute_1_557,plain,
( op1(e10,e12) != op1(e12,e11)
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_1_555,refute_1_556]) ).
cnf(refute_1_558,plain,
( op1(e10,e12) != e10
| op1(e12,e11) != e10
| op1(e10,e12) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e11)) ),[1],$fot(e10)]]) ).
cnf(refute_1_559,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_1_546,refute_1_558]) ).
cnf(refute_1_560,plain,
( op1(e10,e12) != e10
| op1(e12,e10) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e11)) )],[refute_1_559,refute_1_557]) ).
cnf(refute_1_561,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e11)) )],[refute_1_560,refute_1_515]) ).
cnf(refute_1_562,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_1_514,refute_1_561]) ).
cnf(refute_1_563,plain,
op1(e11,e13) != op1(e12,e13),
inference(canonicalize,[],[normalize_1_57]) ).
cnf(refute_1_564,plain,
( op1(e10,e12) != op1(e12,e13)
| op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_1_565,plain,
( op1(e10,e12) != op1(e12,e13)
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_1_394,refute_1_564]) ).
cnf(refute_1_566,plain,
( op1(e10,e12) != e11
| op1(e12,e13) != e11
| op1(e10,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_1_567,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_496,refute_1_566]) ).
cnf(refute_1_568,plain,
( op1(e10,e12) != e11
| op1(e11,e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e13)) )],[refute_1_567,refute_1_565]) ).
cnf(refute_1_569,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e12,e13)) )],[refute_1_568,refute_1_563]) ).
cnf(refute_1_570,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_1_562,refute_1_569]) ).
cnf(refute_1_571,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_1_58]) ).
cnf(refute_1_572,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_1_573,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_1_331,refute_1_572]) ).
cnf(refute_1_574,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_1_573,refute_1_571]) ).
cnf(refute_1_575,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_1_570,refute_1_574]) ).
cnf(refute_1_576,plain,
op1(op1(e10,e12),e13) = op1(op1(e10,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e13))]]) ).
cnf(refute_1_577,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_1_578,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(op1(e10,e12),e13)) )],[refute_1_576,refute_1_577]) ).
cnf(refute_1_579,plain,
op1(op1(e10,e12),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_575,refute_1_578]) ).
cnf(refute_1_580,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) != op1(e12,e13)
| op1(op1(e10,e12),e13) = e11 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e10,e12),e13))),bind(Y,$fot(op1(e12,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_1_581,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e12,e13)) )],[refute_1_579,refute_1_580]) ).
cnf(refute_1_582,plain,
op1(op1(e10,e12),e13) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_1_496,refute_1_581]) ).
cnf(refute_1_583,plain,
( op1(op1(e10,e12),e13) != e11
| op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) ),[0],$fot(e11)]]) ).
cnf(refute_1_584,plain,
( op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),e11) )],[refute_1_582,refute_1_583]) ).
cnf(refute_1_585,plain,
e11 = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) )],[refute_1_487,refute_1_584]) ).
cnf(refute_1_586,plain,
( e11 != op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e11)))]]) ).
cnf(refute_1_587,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e11)) )],[refute_1_585,refute_1_586]) ).
cnf(refute_1_588,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_1_589,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e11
| h4(op1(e10,e11)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_1_590,plain,
( op1(e10,e11) != e11
| h4(op1(e10,e11)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_1_588,refute_1_589]) ).
cnf(refute_1_591,plain,
h4(op1(e10,e11)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_1_587,refute_1_590]) ).
cnf(refute_1_592,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e11)) != h4(e11)
| h4(op1(e10,e11)) = h2(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_1_593,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e11)) )],[refute_1_591,refute_1_592]) ).
cnf(refute_1_594,plain,
h4(op1(e10,e11)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_1_206,refute_1_593]) ).
cnf(refute_1_595,plain,
( h2(e13) != op2(h1(e13),h2(e13))
| h4(op1(e10,e11)) != h2(e13)
| h4(op1(e10,e11)) = op2(h1(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h2(e13)) ),[1],$fot(op2(h1(e13),h2(e13)))]]) ).
cnf(refute_1_596,plain,
( h2(e13) != op2(h1(e13),h2(e13))
| h4(op1(e10,e11)) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h2(e13)) )],[refute_1_594,refute_1_595]) ).
cnf(refute_1_597,plain,
h2(e13) != op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h2(e13))) )],[refute_1_596,refute_1_324]) ).
cnf(refute_1_598,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_1_59]) ).
cnf(refute_1_599,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_1_600,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_601,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_1_599,refute_1_600]) ).
cnf(refute_1_602,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_48,refute_1_601]) ).
cnf(refute_1_603,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| op2(h2(e13),e21) = op2(e21,op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_1_604,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = op2(e21,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_1_602,refute_1_603]) ).
cnf(refute_1_605,plain,
( op2(e21,op2(e21,e21)) != h2(e11)
| op2(h2(e13),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(e21,op2(e21,e21))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_1_606,plain,
( op2(h2(e13),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e11)) )],[refute_1_172,refute_1_605]) ).
cnf(refute_1_607,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e21,op2(e21,e21))) )],[refute_1_604,refute_1_606]) ).
cnf(refute_1_608,plain,
op2(h2(e13),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) )],[refute_1_598,refute_1_607]) ).
cnf(refute_1_609,plain,
( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(canonicalize,[],[normalize_1_61]) ).
cnf(refute_1_610,plain,
( op2(e20,e23) != e20
| op2(e20,e23) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_611,plain,
( op2(e20,e23) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_610]) ).
cnf(refute_1_612,plain,
( h2(e13) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_609,refute_1_611]) ).
cnf(refute_1_613,plain,
( op2(e20,e23) != e21
| op2(e20,e23) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_614,plain,
( op2(e20,e23) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_613]) ).
cnf(refute_1_615,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_612,refute_1_614]) ).
cnf(refute_1_616,plain,
( op2(e20,e23) != e22
| op2(e20,e23) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_617,plain,
( op2(e20,e23) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_616]) ).
cnf(refute_1_618,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e20,e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_615,refute_1_617]) ).
cnf(refute_1_619,plain,
( op2(e20,e23) != e23
| op2(e20,e23) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_1_620,plain,
( op2(e20,e23) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_619]) ).
cnf(refute_1_621,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e23) )],[refute_1_618,refute_1_620]) ).
cnf(refute_1_622,plain,
op2(e21,e21) != op2(e21,e22),
inference(canonicalize,[],[normalize_1_63]) ).
cnf(refute_1_623,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) != h2(e13)
| op2(e21,e21) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),h2(e13)) ),[1],$fot(op2(e21,e22))]]) ).
cnf(refute_1_624,plain,
( h2(e13) != op2(e21,e22)
| op2(e21,e21) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_1_48,refute_1_623]) ).
cnf(refute_1_625,plain,
h2(e13) != op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),op2(e21,e22)) )],[refute_1_624,refute_1_622]) ).
cnf(refute_1_626,plain,
( h4(e13) != e20
| op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_1_627,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_98,refute_1_626]) ).
cnf(refute_1_628,plain,
op2(e21,e22) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_1_78,refute_1_627]) ).
cnf(refute_1_629,plain,
( h2(e13) != e20
| op2(e21,e22) != e20
| h2(e13) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e21,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_630,plain,
( h2(e13) != e20
| h2(e13) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_628,refute_1_629]) ).
cnf(refute_1_631,plain,
h2(e13) != e20,
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e22)) )],[refute_1_630,refute_1_625]) ).
cnf(refute_1_632,plain,
( h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_1_621,refute_1_631]) ).
cnf(refute_1_633,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_1_64]) ).
cnf(refute_1_634,plain,
( h2(e13) != op2(e22,e23)
| op2(e20,e23) != h2(e13)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h2(e13)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_1_635,plain,
( h2(e13) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_634]) ).
cnf(refute_1_636,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_1_637,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_638,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_1_636,refute_1_637]) ).
cnf(refute_1_639,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_24,refute_1_638]) ).
cnf(refute_1_640,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_1_641,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_1_639,refute_1_640]) ).
cnf(refute_1_642,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_1_31,refute_1_641]) ).
cnf(refute_1_643,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_1_644,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_1_642,refute_1_643]) ).
cnf(refute_1_645,plain,
( h2(e13) != e21
| op2(e22,e23) != e21
| h2(e13) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_1_646,plain,
( h2(e13) != e21
| h2(e13) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_644,refute_1_645]) ).
cnf(refute_1_647,plain,
( h2(e13) != e21
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e23)) )],[refute_1_646,refute_1_635]) ).
cnf(refute_1_648,plain,
h2(e13) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_1_647,refute_1_633]) ).
cnf(refute_1_649,plain,
( h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_1_632,refute_1_648]) ).
cnf(refute_1_650,plain,
( h2(e13) != e22
| op2(h2(e13),e21) != h2(e11)
| op2(e22,e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),h2(e11)) ),[0,0],$fot(e22)]]) ).
cnf(refute_1_651,plain,
( op2(h2(e13),e21) != h2(e11)
| h2(e13) = e23
| op2(e22,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_649,refute_1_650]) ).
cnf(refute_1_652,plain,
( h2(e13) = e23
| op2(e22,e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e11)) )],[refute_1_608,refute_1_651]) ).
cnf(refute_1_653,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_1_65]) ).
cnf(refute_1_654,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_1_655,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_1_656,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_1_654,refute_1_655]) ).
cnf(refute_1_657,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_24,refute_1_656]) ).
cnf(refute_1_658,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_1_659,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_1_657,refute_1_658]) ).
cnf(refute_1_660,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_65,refute_1_659]) ).
cnf(refute_1_661,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_1_662,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_1_660,refute_1_661]) ).
cnf(refute_1_663,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_1_653,refute_1_662]) ).
cnf(refute_1_664,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_1_665,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_1_98,refute_1_664]) ).
cnf(refute_1_666,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_1_663,refute_1_665]) ).
cnf(refute_1_667,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_1_668,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_669,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_1_667,refute_1_668]) ).
cnf(refute_1_670,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_1_644,refute_1_669]) ).
cnf(refute_1_671,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_1_672,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_1_670,refute_1_671]) ).
cnf(refute_1_673,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_1_666,refute_1_672]) ).
cnf(refute_1_674,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_1_675,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_1_673,refute_1_674]) ).
cnf(refute_1_676,plain,
( op2(e22,e21) != e20
| op2(e22,e21) != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),h2(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_1_677,plain,
( op2(e22,e21) != h2(e11)
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_1_675,refute_1_676]) ).
cnf(refute_1_678,plain,
( e20 = h2(e11)
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),h2(e11)) )],[refute_1_652,refute_1_677]) ).
cnf(refute_1_679,plain,
( h2(e13) != e23
| h2(e13) != op2(h1(e13),e23)
| h2(e13) = op2(h1(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h1(e13),h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_680,plain,
( h2(e13) != op2(h1(e13),e23)
| e20 = h2(e11)
| h2(e13) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_678,refute_1_679]) ).
cnf(refute_1_681,plain,
( h2(e13) != op2(h1(e13),e23)
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h1(e13),h2(e13))) )],[refute_1_680,refute_1_597]) ).
cnf(refute_1_682,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_1_66]) ).
cnf(refute_1_683,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_1_684,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_685,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_1_683,refute_1_684]) ).
cnf(refute_1_686,plain,
op2(op2(e20,e20),e23) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_685]) ).
cnf(refute_1_687,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_1_688,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h1(e13),e23)) )],[refute_1_686,refute_1_687]) ).
cnf(refute_1_689,plain,
op2(h1(e13),e23) = op2(e20,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_1_682,refute_1_688]) ).
cnf(refute_1_690,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_1_691,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_1_692,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_1_690,refute_1_691]) ).
cnf(refute_1_693,plain,
op2(e20,op2(e20,e23)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_692]) ).
cnf(refute_1_694,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_1_695,plain,
( op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h2(e13))) )],[refute_1_693,refute_1_694]) ).
cnf(refute_1_696,plain,
op2(h1(e13),e23) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) )],[refute_1_689,refute_1_695]) ).
cnf(refute_1_697,plain,
( h2(e13) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,h2(e13))
| h2(e13) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h1(e13),e23)) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_1_698,plain,
( h2(e13) != op2(e20,h2(e13))
| h2(e13) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_1_696,refute_1_697]) ).
cnf(refute_1_699,plain,
( h2(e13) != op2(e20,h2(e13))
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h1(e13),e23)) )],[refute_1_698,refute_1_681]) ).
cnf(refute_1_700,plain,
( h2(e13) != e23
| h2(e13) != op2(e20,e23)
| h2(e13) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e20,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_701,plain,
( h2(e13) != op2(e20,e23)
| e20 = h2(e11)
| h2(e13) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_678,refute_1_700]) ).
cnf(refute_1_702,plain,
( h2(e13) != op2(e20,e23)
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e20,h2(e13))) )],[refute_1_701,refute_1_699]) ).
cnf(refute_1_703,plain,
( h2(e13) != h2(e13)
| op2(e20,e23) != h2(e13)
| h2(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e20,e23)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_1_704,plain,
( h2(e13) != h2(e13)
| h2(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_703]) ).
cnf(refute_1_705,plain,
( h2(e13) != h2(e13)
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e20,e23)) )],[refute_1_704,refute_1_702]) ).
cnf(refute_1_706,plain,
h2(e13) = h2(e13),
introduced(tautology,[refl,[$fot(h2(e13))]]) ).
cnf(refute_1_707,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_1_706,refute_1_705]) ).
cnf(refute_1_708,plain,
( e20 != h2(e11)
| h2(e11) = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_1_709,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_1_707,refute_1_708]) ).
cnf(refute_1_710,plain,
op2(h2(e11),e21) = op2(h2(e11),e21),
introduced(tautology,[refl,[$fot(op2(h2(e11),e21))]]) ).
cnf(refute_1_711,plain,
( h2(e11) != e20
| op2(h2(e11),e21) != op2(h2(e11),e21)
| op2(h2(e11),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e21),op2(h2(e11),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_712,plain,
( h2(e11) != e20
| op2(h2(e11),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(h2(e11),e21)) )],[refute_1_710,refute_1_711]) ).
cnf(refute_1_713,plain,
op2(h2(e11),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_709,refute_1_712]) ).
cnf(refute_1_714,plain,
( h2(e10) != op2(h2(e11),e21)
| op2(h2(e11),e21) != op2(e20,e21)
| h2(e10) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e10),op2(e20,e21)) ),[0],$fot(op2(h2(e11),e21))]]) ).
cnf(refute_1_715,plain,
( h2(e10) != op2(h2(e11),e21)
| h2(e10) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e21),op2(e20,e21)) )],[refute_1_713,refute_1_714]) ).
cnf(refute_1_716,plain,
h2(e10) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(h2(e11),e21)) )],[refute_1_179,refute_1_715]) ).
cnf(refute_1_717,plain,
( h2(e10) != op2(e20,e21)
| op2(e20,e21) = h2(e10) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e10))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_718,plain,
op2(e20,e21) = h2(e10),
inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_1_716,refute_1_717]) ).
cnf(refute_1_719,plain,
( op2(e20,e21) != h2(e10)
| op2(e21,e20) != op2(e20,e21)
| op2(e21,e20) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_1_720,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,e20) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_1_718,refute_1_719]) ).
cnf(refute_1_721,plain,
op2(e21,e20) = h2(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_1_168,refute_1_720]) ).
cnf(refute_1_722,plain,
op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23)),
inference(canonicalize,[],[normalize_1_67]) ).
cnf(refute_1_723,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(canonicalize,[],[normalize_1_68]) ).
cnf(refute_1_724,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(canonicalize,[],[normalize_1_69]) ).
cnf(refute_1_725,plain,
op2(op2(e20,e20),e22) = op2(op2(e20,e20),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e22))]]) ).
cnf(refute_1_726,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e22) != op2(op2(e20,e20),e22)
| op2(op2(e20,e20),e22) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e22),op2(op2(e20,e20),e22)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_727,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e22) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(op2(e20,e20),e22)) )],[refute_1_725,refute_1_726]) ).
cnf(refute_1_728,plain,
op2(op2(e20,e20),e22) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_1_6,refute_1_727]) ).
cnf(refute_1_729,plain,
( op2(op2(e20,e20),e22) != op2(e20,op2(e20,e22))
| op2(op2(e20,e20),e22) != op2(h1(e13),e22)
| op2(h1(e13),e22) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e22),op2(e20,op2(e20,e22))) ),[0],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_1_730,plain,
( op2(op2(e20,e20),e22) != op2(e20,op2(e20,e22))
| op2(h1(e13),e22) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(h1(e13),e22)) )],[refute_1_728,refute_1_729]) ).
cnf(refute_1_731,plain,
op2(h1(e13),e22) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(e20,op2(e20,e22))) )],[refute_1_724,refute_1_730]) ).
cnf(refute_1_732,plain,
( op2(h1(e13),e22) != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) = op2(h1(e13),e22) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op2(h1(e13),e22))),bind(Y,$fot(op2(e20,op2(e20,e22))))]]) ).
cnf(refute_1_733,plain,
op2(e20,op2(e20,e22)) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(e20,op2(e20,e22))) )],[refute_1_731,refute_1_732]) ).
cnf(refute_1_734,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_1_735,plain,
( op2(e20,op2(e21,e23)) != op2(e20,op2(e21,e23))
| op2(e21,e23) != op2(e20,e22)
| op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) ),[1,1],$fot(op2(e20,e22))]]) ).
cnf(refute_1_736,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) )],[refute_1_734,refute_1_735]) ).
cnf(refute_1_737,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_1_148,refute_1_736]) ).
cnf(refute_1_738,plain,
( op2(e20,op2(e20,e22)) != op2(h1(e13),e22)
| op2(e20,op2(e21,e23)) != op2(e20,op2(e20,e22))
| op2(e20,op2(e21,e23)) = op2(h1(e13),e22) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,op2(e21,e23)))),bind(Y,$fot(op2(e20,op2(e20,e22)))),bind(Z,$fot(op2(h1(e13),e22)))]]) ).
cnf(refute_1_739,plain,
( op2(e20,op2(e20,e22)) != op2(h1(e13),e22)
| op2(e20,op2(e21,e23)) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e20,e22))) )],[refute_1_737,refute_1_738]) ).
cnf(refute_1_740,plain,
op2(e20,op2(e21,e23)) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(h1(e13),e22)) )],[refute_1_733,refute_1_739]) ).
cnf(refute_1_741,plain,
( op2(e20,op2(e21,e23)) != op2(h1(e13),e22)
| op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(op2(e20,e21),e23) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) ),[1],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_1_742,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(op2(e20,e21),e23) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(h1(e13),e22)) )],[refute_1_740,refute_1_741]) ).
cnf(refute_1_743,plain,
op2(op2(e20,e21),e23) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) )],[refute_1_723,refute_1_742]) ).
cnf(refute_1_744,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(canonicalize,[],[normalize_1_70]) ).
cnf(refute_1_745,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_1_746,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_1_747,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_1_745,refute_1_746]) ).
cnf(refute_1_748,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_1_250,refute_1_747]) ).
cnf(refute_1_749,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) ),[1],$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_1_750,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e21,e23))) )],[refute_1_748,refute_1_749]) ).
cnf(refute_1_751,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) )],[refute_1_744,refute_1_750]) ).
cnf(refute_1_752,plain,
( op2(e20,op2(e21,e23)) != op2(h1(e13),e22)
| op2(op2(e20,e23),e21) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e21,e23))) ),[1],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_1_753,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(h1(e13),e22)) )],[refute_1_740,refute_1_752]) ).
cnf(refute_1_754,plain,
op2(op2(e20,e23),e21) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e21,e23))) )],[refute_1_751,refute_1_753]) ).
cnf(refute_1_755,plain,
op2(op2(e20,e23),e21) = op2(op2(e20,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e21))]]) ).
cnf(refute_1_756,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e21) != op2(op2(e20,e23),e21)
| op2(op2(e20,e23),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_1_757,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) )],[refute_1_755,refute_1_756]) ).
cnf(refute_1_758,plain,
op2(op2(e20,e23),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_757]) ).
cnf(refute_1_759,plain,
( op2(h2(e13),e21) != h2(e11)
| op2(op2(e20,e23),e21) != op2(h2(e13),e21)
| op2(op2(e20,e23),e21) = h2(e11) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e20,e23),e21))),bind(Y,$fot(op2(h2(e13),e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_1_760,plain,
( op2(h2(e13),e21) != h2(e11)
| op2(op2(e20,e23),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h2(e13),e21)) )],[refute_1_758,refute_1_759]) ).
cnf(refute_1_761,plain,
op2(op2(e20,e23),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e11)) )],[refute_1_608,refute_1_760]) ).
cnf(refute_1_762,plain,
( op2(op2(e20,e23),e21) != h2(e11)
| op2(op2(e20,e23),e21) != op2(h1(e13),e22)
| h2(e11) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h1(e13),e22)) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_763,plain,
( op2(op2(e20,e23),e21) != op2(h1(e13),e22)
| h2(e11) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),h2(e11)) )],[refute_1_761,refute_1_762]) ).
cnf(refute_1_764,plain,
h2(e11) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h1(e13),e22)) )],[refute_1_754,refute_1_763]) ).
cnf(refute_1_765,plain,
( h2(e11) != op2(h1(e13),e22)
| op2(h1(e13),e22) = h2(e11) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h1(e13),e22)))]]) ).
cnf(refute_1_766,plain,
op2(h1(e13),e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e13),e22)) )],[refute_1_764,refute_1_765]) ).
cnf(refute_1_767,plain,
( op2(h1(e13),e22) != h2(e11)
| op2(op2(e20,e21),e23) != op2(h1(e13),e22)
| op2(op2(e20,e21),e23) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(h1(e13),e22)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_1_768,plain,
( op2(op2(e20,e21),e23) != op2(h1(e13),e22)
| op2(op2(e20,e21),e23) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),h2(e11)) )],[refute_1_766,refute_1_767]) ).
cnf(refute_1_769,plain,
op2(op2(e20,e21),e23) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(h1(e13),e22)) )],[refute_1_743,refute_1_768]) ).
cnf(refute_1_770,plain,
op2(op2(e21,e20),e23) = op2(op2(e21,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e23))]]) ).
cnf(refute_1_771,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e23) != op2(op2(e21,e20),e23)
| op2(op2(e21,e20),e23) = op2(op2(e20,e21),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e21,e20),e23)) ),[1,0],$fot(op2(e20,e21))]]) ).
cnf(refute_1_772,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e23) = op2(op2(e20,e21),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e21,e20),e23)) )],[refute_1_770,refute_1_771]) ).
cnf(refute_1_773,plain,
op2(op2(e21,e20),e23) = op2(op2(e20,e21),e23),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_1_168,refute_1_772]) ).
cnf(refute_1_774,plain,
( op2(op2(e20,e21),e23) != h2(e11)
| op2(op2(e21,e20),e23) != op2(op2(e20,e21),e23)
| op2(op2(e21,e20),e23) = h2(e11) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e21,e20),e23))),bind(Y,$fot(op2(op2(e20,e21),e23))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_1_775,plain,
( op2(op2(e20,e21),e23) != h2(e11)
| op2(op2(e21,e20),e23) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e20,e21),e23)) )],[refute_1_773,refute_1_774]) ).
cnf(refute_1_776,plain,
op2(op2(e21,e20),e23) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),h2(e11)) )],[refute_1_769,refute_1_775]) ).
cnf(refute_1_777,plain,
( op2(op2(e21,e20),e23) != h2(e11)
| op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e23),op2(e21,op2(e20,e23))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_778,plain,
( op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),h2(e11)) )],[refute_1_776,refute_1_777]) ).
cnf(refute_1_779,plain,
op2(e21,op2(e20,e23)) = op2(e21,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e23)))]]) ).
cnf(refute_1_780,plain,
( op2(e20,e23) != h2(e13)
| op2(e21,op2(e20,e23)) != op2(e21,op2(e20,e23))
| op2(e21,op2(e20,e23)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_1_781,plain,
( op2(e20,e23) != h2(e13)
| op2(e21,op2(e20,e23)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,op2(e20,e23))) )],[refute_1_779,refute_1_780]) ).
cnf(refute_1_782,plain,
op2(e21,op2(e20,e23)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_781]) ).
cnf(refute_1_783,plain,
( h2(e11) != op2(e21,op2(e20,e23))
| op2(e21,op2(e20,e23)) != op2(e21,h2(e13))
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(op2(e21,op2(e20,e23)))]]) ).
cnf(refute_1_784,plain,
( h2(e11) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,h2(e13))) )],[refute_1_782,refute_1_783]) ).
cnf(refute_1_785,plain,
( op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,op2(e20,e23))) )],[refute_1_778,refute_1_784]) ).
cnf(refute_1_786,plain,
h2(e11) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(e21,op2(e20,e23))) )],[refute_1_722,refute_1_785]) ).
cnf(refute_1_787,plain,
( h2(e11) != e20
| h2(e11) != op2(e21,h2(e13))
| e20 = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_1_788,plain,
( h2(e11) != op2(e21,h2(e13))
| e20 = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_709,refute_1_787]) ).
cnf(refute_1_789,plain,
e20 = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_1_786,refute_1_788]) ).
cnf(refute_1_790,plain,
( e20 != op2(e21,h2(e13))
| h2(e13) != e23
| e20 = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e21,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_791,plain,
( e20 != op2(e21,h2(e13))
| e20 = op2(e21,e23)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_1_649,refute_1_790]) ).
cnf(refute_1_792,plain,
( e20 = op2(e21,e23)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,h2(e13))) )],[refute_1_789,refute_1_791]) ).
cnf(refute_1_793,plain,
( e20 != op2(e21,e23)
| op2(e21,e23) != op2(e20,e22)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_1_794,plain,
( e20 != op2(e21,e23)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_1_148,refute_1_793]) ).
cnf(refute_1_795,plain,
( e20 = op2(e20,e22)
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e23)) )],[refute_1_792,refute_1_794]) ).
cnf(refute_1_796,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_1_71]) ).
cnf(refute_1_797,plain,
( op2(e20,e22) != e20
| op2(e21,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_1_798,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_1_628,refute_1_797]) ).
cnf(refute_1_799,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_1_798,refute_1_796]) ).
cnf(refute_1_800,plain,
( e20 != op2(e20,e22)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_1_801,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_800,refute_1_799]) ).
cnf(refute_1_802,plain,
h2(e13) = e22,
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_1_795,refute_1_801]) ).
cnf(refute_1_803,plain,
op2(e23,h2(e13)) = op2(e23,h2(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_1_804,plain,
( h2(e13) != e22
| op2(e23,h2(e13)) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_1_805,plain,
( h2(e13) != e22
| op2(e23,h2(e13)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,h2(e13))) )],[refute_1_803,refute_1_804]) ).
cnf(refute_1_806,plain,
op2(e23,h2(e13)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_802,refute_1_805]) ).
cnf(refute_1_807,plain,
( op2(e23,e22) != e21
| op2(e23,h2(e13)) != op2(e23,e22)
| op2(e23,h2(e13)) = e21 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e23,h2(e13)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_808,plain,
( op2(e23,e22) != e21
| op2(e23,h2(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,e22)) )],[refute_1_806,refute_1_807]) ).
cnf(refute_1_809,plain,
op2(e23,h2(e13)) = e21,
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_1_37,refute_1_808]) ).
cnf(refute_1_810,plain,
( op2(e23,h2(e13)) != e21
| op2(e23,h2(e13)) != h1(e13)
| e21 = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) ),[0],$fot(e21)]]) ).
cnf(refute_1_811,plain,
( op2(e23,h2(e13)) != h1(e13)
| e21 = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),e21) )],[refute_1_809,refute_1_810]) ).
cnf(refute_1_812,plain,
e21 = h1(e13),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_1_298,refute_1_811]) ).
cnf(refute_1_813,plain,
( e21 != h1(e13)
| h1(e13) = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_1_814,plain,
h1(e13) = e21,
inference(resolve,[$cnf( $equal(e21,h1(e13)) )],[refute_1_812,refute_1_813]) ).
cnf(refute_1_815,plain,
op2(h1(e13),e20) = op2(h1(e13),e20),
introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).
cnf(refute_1_816,plain,
( h1(e13) != e21
| op2(h1(e13),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_817,plain,
( h1(e13) != e21
| op2(h1(e13),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_1_815,refute_1_816]) ).
cnf(refute_1_818,plain,
op2(h1(e13),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_1_814,refute_1_817]) ).
cnf(refute_1_819,plain,
( op2(e21,e20) != h2(e10)
| op2(h1(e13),e20) != op2(e21,e20)
| op2(h1(e13),e20) = h2(e10) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(h1(e13),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(h2(e10)))]]) ).
cnf(refute_1_820,plain,
( op2(e21,e20) != h2(e10)
| op2(h1(e13),e20) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e21,e20)) )],[refute_1_818,refute_1_819]) ).
cnf(refute_1_821,plain,
op2(h1(e13),e20) = h2(e10),
inference(resolve,[$cnf( $equal(op2(e21,e20),h2(e10)) )],[refute_1_721,refute_1_820]) ).
cnf(refute_1_822,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h1(e13),e20) != h2(e10)
| h2(e10) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) ),[0],$fot(h2(e10))]]) ).
cnf(refute_1_823,plain,
( op2(h1(e13),e20) != h1(e11)
| h2(e10) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h2(e10)) )],[refute_1_821,refute_1_822]) ).
cnf(refute_1_824,plain,
h2(e10) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_1_19,refute_1_823]) ).
cnf(refute_1_825,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(h2(e13),e22) != op2(e21,e20)
| op2(h2(e13),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_826,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(h2(e13),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_1_168,refute_1_825]) ).
cnf(refute_1_827,plain,
op2(h2(e13),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_1_105,refute_1_826]) ).
cnf(refute_1_828,plain,
( op2(e20,e21) != h2(e10)
| op2(h2(e13),e22) != op2(e20,e21)
| op2(h2(e13),e22) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e20,e21)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_1_829,plain,
( op2(h2(e13),e22) != op2(e20,e21)
| op2(h2(e13),e22) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_1_718,refute_1_828]) ).
cnf(refute_1_830,plain,
op2(h2(e13),e22) = h2(e10),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e20,e21)) )],[refute_1_827,refute_1_829]) ).
cnf(refute_1_831,plain,
op2(h2(e13),e22) = op2(h2(e13),e22),
introduced(tautology,[refl,[$fot(op2(h2(e13),e22))]]) ).
cnf(refute_1_832,plain,
( h2(e13) != e22
| op2(h2(e13),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(h2(e13),e22)) ),[1,0],$fot(e22)]]) ).
cnf(refute_1_833,plain,
( h2(e13) != e22
| op2(h2(e13),e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(h2(e13),e22)) )],[refute_1_831,refute_1_832]) ).
cnf(refute_1_834,plain,
op2(h2(e13),e22) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_802,refute_1_833]) ).
cnf(refute_1_835,plain,
( op2(e22,e22) != e23
| op2(h2(e13),e22) != op2(e22,e22)
| op2(h2(e13),e22) = e23 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(h2(e13),e22))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_836,plain,
( op2(e22,e22) != e23
| op2(h2(e13),e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e22,e22)) )],[refute_1_834,refute_1_835]) ).
cnf(refute_1_837,plain,
op2(h2(e13),e22) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_1_24,refute_1_836]) ).
cnf(refute_1_838,plain,
( op2(h2(e13),e22) != e23
| op2(h2(e13),e22) != h2(e10)
| e23 = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),h2(e10)) ),[0],$fot(e23)]]) ).
cnf(refute_1_839,plain,
( op2(h2(e13),e22) != h2(e10)
| e23 = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),e23) )],[refute_1_837,refute_1_838]) ).
cnf(refute_1_840,plain,
( e23 != h2(e10)
| h2(e10) != h1(e11)
| e23 = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h1(e11)) ),[0],$fot(h2(e10))]]) ).
cnf(refute_1_841,plain,
( e23 != h2(e10)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_824,refute_1_840]) ).
cnf(refute_1_842,plain,
( op2(h2(e13),e22) != h2(e10)
| e23 = h1(e11) ),
inference(resolve,[$cnf( $equal(e23,h2(e10)) )],[refute_1_839,refute_1_841]) ).
cnf(refute_1_843,plain,
e23 = h1(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),h2(e10)) )],[refute_1_830,refute_1_842]) ).
cnf(refute_1_844,plain,
( e23 != h1(e11)
| h1(e11) = e23 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_1_845,plain,
h1(e11) = e23,
inference(resolve,[$cnf( $equal(e23,h1(e11)) )],[refute_1_843,refute_1_844]) ).
cnf(refute_1_846,plain,
( h1(e11) != e23
| h2(e10) != h1(e11)
| h2(e10) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),h1(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_847,plain,
( h2(e10) != h1(e11)
| h2(e10) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_845,refute_1_846]) ).
cnf(refute_1_848,plain,
h2(e10) = e23,
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_824,refute_1_847]) ).
cnf(refute_1_849,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(canonicalize,[],[normalize_1_72]) ).
cnf(refute_1_850,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(canonicalize,[],[normalize_1_73]) ).
cnf(refute_1_851,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_1_852,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e21,op2(e23,e23)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_1_853,plain,
( op2(e23,e23) != h4(e13)
| op2(e21,op2(e23,e23)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_1_851,refute_1_852]) ).
cnf(refute_1_854,plain,
op2(e21,op2(e23,e23)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_1_65,refute_1_853]) ).
cnf(refute_1_855,plain,
( op2(e21,op2(e23,e23)) != op2(e21,h4(e13))
| op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(op2(e21,e23),e23) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_1_856,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(op2(e21,e23),e23) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,h4(e13))) )],[refute_1_854,refute_1_855]) ).
cnf(refute_1_857,plain,
op2(op2(e21,e23),e23) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) )],[refute_1_850,refute_1_856]) ).
cnf(refute_1_858,plain,
op2(op2(e21,e23),e23) = op2(op2(e21,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e23))]]) ).
cnf(refute_1_859,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e23) != op2(op2(e21,e23),e23)
| op2(op2(e21,e23),e23) = op2(op2(e20,e22),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_1_860,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e23) = op2(op2(e20,e22),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) )],[refute_1_858,refute_1_859]) ).
cnf(refute_1_861,plain,
op2(op2(e21,e23),e23) = op2(op2(e20,e22),e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_1_148,refute_1_860]) ).
cnf(refute_1_862,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e21,e23),e23) != op2(op2(e20,e22),e23)
| op2(op2(e21,e23),e23) = op2(e20,op2(e22,e23)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e21,e23),e23))),bind(Y,$fot(op2(op2(e20,e22),e23))),bind(Z,$fot(op2(e20,op2(e22,e23))))]]) ).
cnf(refute_1_863,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e21,e23),e23) = op2(e20,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e20,e22),e23)) )],[refute_1_861,refute_1_862]) ).
cnf(refute_1_864,plain,
op2(op2(e21,e23),e23) = op2(e20,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) )],[refute_1_849,refute_1_863]) ).
cnf(refute_1_865,plain,
( op2(op2(e21,e23),e23) != op2(e20,op2(e22,e23))
| op2(op2(e21,e23),e23) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,h4(e13))) ),[0],$fot(op2(e20,op2(e22,e23)))]]) ).
cnf(refute_1_866,plain,
( op2(op2(e21,e23),e23) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e20,op2(e22,e23))) )],[refute_1_864,refute_1_865]) ).
cnf(refute_1_867,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,h4(e13)) != op2(e21,e20)
| op2(e21,h4(e13)) = op2(e20,e21) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e21,h4(e13)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_868,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,h4(e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_1_102,refute_1_867]) ).
cnf(refute_1_869,plain,
op2(e21,h4(e13)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_1_168,refute_1_868]) ).
cnf(refute_1_870,plain,
( op2(e20,op2(e22,e23)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) != op2(e20,e21)
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e22,e23)),op2(e20,e21)) ),[0],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_1_871,plain,
( op2(e20,op2(e22,e23)) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e20,e21)) )],[refute_1_869,refute_1_870]) ).
cnf(refute_1_872,plain,
( op2(op2(e21,e23),e23) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e21,h4(e13))) )],[refute_1_866,refute_1_871]) ).
cnf(refute_1_873,plain,
op2(e20,op2(e22,e23)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,h4(e13))) )],[refute_1_857,refute_1_872]) ).
cnf(refute_1_874,plain,
( op2(e20,op2(e22,e23)) != op2(e20,e21)
| op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e20,e22),e23) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_1_875,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e20,e22),e23) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,e21)) )],[refute_1_873,refute_1_874]) ).
cnf(refute_1_876,plain,
op2(op2(e20,e22),e23) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) )],[refute_1_849,refute_1_875]) ).
cnf(refute_1_877,plain,
( op2(e20,e21) != h2(e10)
| op2(op2(e20,e22),e23) != op2(e20,e21)
| op2(op2(e20,e22),e23) = h2(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,e21)) ),[1],$fot(h2(e10))]]) ).
cnf(refute_1_878,plain,
( op2(op2(e20,e22),e23) != op2(e20,e21)
| op2(op2(e20,e22),e23) = h2(e10) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_1_718,refute_1_877]) ).
cnf(refute_1_879,plain,
op2(op2(e20,e22),e23) = h2(e10),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,e21)) )],[refute_1_876,refute_1_878]) ).
cnf(refute_1_880,plain,
( h2(e10) != h1(e11)
| op2(op2(e20,e22),e23) != h2(e10)
| op2(op2(e20,e22),e23) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),h2(e10)) ),[1],$fot(h1(e11))]]) ).
cnf(refute_1_881,plain,
( op2(op2(e20,e22),e23) != h2(e10)
| op2(op2(e20,e22),e23) = h1(e11) ),
inference(resolve,[$cnf( $equal(h2(e10),h1(e11)) )],[refute_1_824,refute_1_880]) ).
cnf(refute_1_882,plain,
op2(op2(e20,e22),e23) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),h2(e10)) )],[refute_1_879,refute_1_881]) ).
cnf(refute_1_883,plain,
( h1(e11) != e23
| op2(op2(e20,e22),e23) != h1(e11)
| op2(op2(e20,e22),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),h1(e11)) ),[1],$fot(e23)]]) ).
cnf(refute_1_884,plain,
( op2(op2(e20,e22),e23) != h1(e11)
| op2(op2(e20,e22),e23) = e23 ),
inference(resolve,[$cnf( $equal(h1(e11),e23) )],[refute_1_845,refute_1_883]) ).
cnf(refute_1_885,plain,
op2(op2(e20,e22),e23) = e23,
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),h1(e11)) )],[refute_1_882,refute_1_884]) ).
cnf(refute_1_886,plain,
( op2(h1(e13),e22) != h2(e11)
| op2(h1(e13),e22) != op2(e20,op2(e20,e22))
| h2(e11) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e22),op2(e20,op2(e20,e22))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_1_887,plain,
( op2(h1(e13),e22) != op2(e20,op2(e20,e22))
| h2(e11) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),h2(e11)) )],[refute_1_766,refute_1_886]) ).
cnf(refute_1_888,plain,
h2(e11) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(e20,op2(e20,e22))) )],[refute_1_731,refute_1_887]) ).
cnf(refute_1_889,plain,
( h2(e11) != e20
| h2(e11) != op2(e20,op2(e20,e22))
| e20 = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,op2(e20,e22))) ),[0],$fot(e20)]]) ).
cnf(refute_1_890,plain,
( h2(e11) != op2(e20,op2(e20,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_1_709,refute_1_889]) ).
cnf(refute_1_891,plain,
e20 = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,op2(e20,e22))) )],[refute_1_888,refute_1_890]) ).
cnf(refute_1_892,plain,
h4(op1(e10,e10)) = op2(h4(e10),h4(e10)),
inference(canonicalize,[],[normalize_1_74]) ).
cnf(refute_1_893,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e10)))]]) ).
cnf(refute_1_894,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_1_895,plain,
( h4(e10) != h1(e13)
| op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_1_893,refute_1_894]) ).
cnf(refute_1_896,plain,
op2(h1(e13),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_314,refute_1_895]) ).
cnf(refute_1_897,plain,
op2(h4(e10),h4(e10)) = op2(h4(e10),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_898,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_1_899,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h4(e10),h4(e10))) )],[refute_1_897,refute_1_898]) ).
cnf(refute_1_900,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_314,refute_1_899]) ).
cnf(refute_1_901,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h4(e10))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(h4(e10),h4(e10)))),bind(Y,$fot(op2(h1(e13),h4(e10)))),bind(Z,$fot(op2(h1(e13),h1(e13))))]]) ).
cnf(refute_1_902,plain,
( op2(h1(e13),h4(e10)) != op2(h1(e13),h1(e13))
| op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h4(e10))) )],[refute_1_900,refute_1_901]) ).
cnf(refute_1_903,plain,
op2(h4(e10),h4(e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_1_896,refute_1_902]) ).
cnf(refute_1_904,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| op2(h4(e10),h4(e10)) != op2(h1(e13),h1(e13))
| h4(op1(e10,e10)) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e10)),op2(h1(e13),h1(e13))) ),[0],$fot(op2(h4(e10),h4(e10)))]]) ).
cnf(refute_1_905,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e10)) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e10)),op2(h1(e13),h1(e13))) )],[refute_1_903,refute_1_904]) ).
cnf(refute_1_906,plain,
h4(op1(e10,e10)) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h4(e10),h4(e10))) )],[refute_1_892,refute_1_905]) ).
cnf(refute_1_907,plain,
op1(op1(e10,e12),e11) = op1(e10,op1(e12,e11)),
inference(canonicalize,[],[normalize_1_75]) ).
cnf(refute_1_908,plain,
op1(op1(e11,e13),e11) = op1(e11,op1(e13,e11)),
inference(canonicalize,[],[normalize_1_76]) ).
cnf(refute_1_909,plain,
op1(e11,op1(e13,e11)) = op1(e11,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e11)))]]) ).
cnf(refute_1_910,plain,
( op1(e11,op1(e13,e11)) != op1(e11,op1(e13,e11))
| op1(e13,e11) != op1(e11,e13)
| op1(e11,op1(e13,e11)) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) ),[1,1],$fot(op1(e11,e13))]]) ).
cnf(refute_1_911,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e11,op1(e13,e11)) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e13,e11))) )],[refute_1_909,refute_1_910]) ).
cnf(refute_1_912,plain,
op1(e11,op1(e13,e11)) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_1_436,refute_1_911]) ).
cnf(refute_1_913,plain,
( op1(e11,op1(e13,e11)) != op1(e11,op1(e11,e13))
| op1(op1(e11,e13),e11) != op1(e11,op1(e13,e11))
| op1(op1(e11,e13),e11) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e13,e11))) ),[1],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_1_914,plain,
( op1(op1(e11,e13),e11) != op1(e11,op1(e13,e11))
| op1(op1(e11,e13),e11) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e11)),op1(e11,op1(e11,e13))) )],[refute_1_912,refute_1_913]) ).
cnf(refute_1_915,plain,
op1(op1(e11,e13),e11) = op1(e11,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e13,e11))) )],[refute_1_908,refute_1_914]) ).
cnf(refute_1_916,plain,
op1(op1(e11,e13),e11) = op1(op1(e11,e13),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),e11))]]) ).
cnf(refute_1_917,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e11) != op1(op1(e11,e13),e11)
| op1(op1(e11,e13),e11) = op1(op1(e10,e12),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e11),op1(op1(e11,e13),e11)) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_1_918,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e11) = op1(op1(e10,e12),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(op1(e11,e13),e11)) )],[refute_1_916,refute_1_917]) ).
cnf(refute_1_919,plain,
op1(op1(e11,e13),e11) = op1(op1(e10,e12),e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_1_394,refute_1_918]) ).
cnf(refute_1_920,plain,
( op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e11,e13),e11) != op1(op1(e10,e12),e11)
| op1(op1(e11,e13),e11) = op1(e10,op1(e12,e11)) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e11,e13),e11))),bind(Y,$fot(op1(op1(e10,e12),e11))),bind(Z,$fot(op1(e10,op1(e12,e11))))]]) ).
cnf(refute_1_921,plain,
( op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e11,e13),e11) = op1(e10,op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(op1(e10,e12),e11)) )],[refute_1_919,refute_1_920]) ).
cnf(refute_1_922,plain,
op1(op1(e11,e13),e11) = op1(e10,op1(e12,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,op1(e12,e11))) )],[refute_1_907,refute_1_921]) ).
cnf(refute_1_923,plain,
( op1(op1(e11,e13),e11) != op1(e10,op1(e12,e11))
| op1(op1(e11,e13),e11) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e11,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e11,e13))) ),[0],$fot(op1(e10,op1(e12,e11)))]]) ).
cnf(refute_1_924,plain,
( op1(op1(e11,e13),e11) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e11,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e10,op1(e12,e11))) )],[refute_1_922,refute_1_923]) ).
cnf(refute_1_925,plain,
op1(op1(e11,e10),e12) = op1(e11,op1(e10,e12)),
inference(canonicalize,[],[normalize_1_77]) ).
cnf(refute_1_926,plain,
op1(op1(e10,e11),e12) = op1(e10,op1(e11,e12)),
inference(canonicalize,[],[normalize_1_78]) ).
cnf(refute_1_927,plain,
op1(e10,op1(e11,e12)) = op1(e10,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e11,e12)))]]) ).
cnf(refute_1_928,plain,
( op1(e10,op1(e11,e12)) != op1(e10,op1(e11,e12))
| op1(e11,e12) != e10
| op1(e10,op1(e11,e12)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_1_929,plain,
( op1(e11,e12) != e10
| op1(e10,op1(e11,e12)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,op1(e11,e12))) )],[refute_1_927,refute_1_928]) ).
cnf(refute_1_930,plain,
op1(e10,op1(e11,e12)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_1_385,refute_1_929]) ).
cnf(refute_1_931,plain,
( op1(e10,op1(e11,e12)) != op1(e10,e10)
| op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) ),[1],$fot(op1(e10,e10))]]) ).
cnf(refute_1_932,plain,
( op1(op1(e10,e11),e12) != op1(e10,op1(e11,e12))
| op1(op1(e10,e11),e12) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e11,e12)),op1(e10,e10)) )],[refute_1_930,refute_1_931]) ).
cnf(refute_1_933,plain,
op1(op1(e10,e11),e12) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,op1(e11,e12))) )],[refute_1_926,refute_1_932]) ).
cnf(refute_1_934,plain,
op1(op1(e11,e10),e12) = op1(op1(e11,e10),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e10),e12))]]) ).
cnf(refute_1_935,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_1_936,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e11,e10),e12)) )],[refute_1_934,refute_1_935]) ).
cnf(refute_1_937,plain,
op1(op1(e11,e10),e12) = op1(op1(e10,e11),e12),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_1_477,refute_1_936]) ).
cnf(refute_1_938,plain,
( op1(op1(e10,e11),e12) != op1(e10,e10)
| op1(op1(e11,e10),e12) != op1(op1(e10,e11),e12)
| op1(op1(e11,e10),e12) = op1(e10,e10) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e11,e10),e12))),bind(Y,$fot(op1(op1(e10,e11),e12))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_1_939,plain,
( op1(op1(e10,e11),e12) != op1(e10,e10)
| op1(op1(e11,e10),e12) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(op1(e10,e11),e12)) )],[refute_1_937,refute_1_938]) ).
cnf(refute_1_940,plain,
op1(op1(e11,e10),e12) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e11),e12),op1(e10,e10)) )],[refute_1_933,refute_1_939]) ).
cnf(refute_1_941,plain,
( op1(op1(e11,e10),e12) != op1(e10,e10)
| op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,e10) = op1(e11,op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_1_942,plain,
( op1(op1(e11,e10),e12) != op1(e11,op1(e10,e12))
| op1(e10,e10) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e10,e10)) )],[refute_1_940,refute_1_941]) ).
cnf(refute_1_943,plain,
op1(e10,e10) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e10),e12),op1(e11,op1(e10,e12))) )],[refute_1_925,refute_1_942]) ).
cnf(refute_1_944,plain,
( op1(e10,e10) != op1(e11,op1(e10,e12))
| op1(e11,op1(e10,e12)) = op1(e10,e10) ),
inference(subst,[],[refute_1_4:[bind(X,$fot(op1(e10,e10))),bind(Y,$fot(op1(e11,op1(e10,e12))))]]) ).
cnf(refute_1_945,plain,
op1(e11,op1(e10,e12)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),op1(e11,op1(e10,e12))) )],[refute_1_943,refute_1_944]) ).
cnf(refute_1_946,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e11,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_1_947,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_1_948,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e11,e13))) )],[refute_1_946,refute_1_947]) ).
cnf(refute_1_949,plain,
op1(e11,op1(e11,e13)) = op1(e11,op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_1_394,refute_1_948]) ).
cnf(refute_1_950,plain,
( op1(e11,op1(e10,e12)) != op1(e10,e10)
| op1(e11,op1(e11,e13)) != op1(e11,op1(e10,e12))
| op1(e11,op1(e11,e13)) = op1(e10,e10) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(e11,op1(e11,e13)))),bind(Y,$fot(op1(e11,op1(e10,e12)))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_1_951,plain,
( op1(e11,op1(e10,e12)) != op1(e10,e10)
| op1(e11,op1(e11,e13)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e11,op1(e10,e12))) )],[refute_1_949,refute_1_950]) ).
cnf(refute_1_952,plain,
op1(e11,op1(e11,e13)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e11,op1(e10,e12)),op1(e10,e10)) )],[refute_1_945,refute_1_951]) ).
cnf(refute_1_953,plain,
( op1(e10,op1(e12,e11)) != op1(e11,op1(e11,e13))
| op1(e11,op1(e11,e13)) != op1(e10,e10)
| op1(e10,op1(e12,e11)) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e12,e11)),op1(e10,e10)) ),[0],$fot(op1(e11,op1(e11,e13)))]]) ).
cnf(refute_1_954,plain,
( op1(e10,op1(e12,e11)) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e13)),op1(e10,e10)) )],[refute_1_952,refute_1_953]) ).
cnf(refute_1_955,plain,
( op1(op1(e11,e13),e11) != op1(e11,op1(e11,e13))
| op1(e10,op1(e12,e11)) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e11)),op1(e11,op1(e11,e13))) )],[refute_1_924,refute_1_954]) ).
cnf(refute_1_956,plain,
op1(e10,op1(e12,e11)) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e11),op1(e11,op1(e11,e13))) )],[refute_1_915,refute_1_955]) ).
cnf(refute_1_957,plain,
( op1(e10,op1(e12,e11)) != op1(e10,e10)
| op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e10,e12),e11) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,op1(e12,e11))) ),[1],$fot(op1(e10,e10))]]) ).
cnf(refute_1_958,plain,
( op1(op1(e10,e12),e11) != op1(e10,op1(e12,e11))
| op1(op1(e10,e12),e11) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e11)),op1(e10,e10)) )],[refute_1_956,refute_1_957]) ).
cnf(refute_1_959,plain,
op1(op1(e10,e12),e11) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,op1(e12,e11))) )],[refute_1_907,refute_1_958]) ).
cnf(refute_1_960,plain,
op1(op1(e10,e12),e11) = op1(op1(e10,e12),e11),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e11))]]) ).
cnf(refute_1_961,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e11) != op1(op1(e10,e12),e11)
| op1(op1(e10,e12),e11) = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e11),op1(op1(e10,e12),e11)) ),[1,0],$fot(e12)]]) ).
cnf(refute_1_962,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e11) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(op1(e10,e12),e11)) )],[refute_1_960,refute_1_961]) ).
cnf(refute_1_963,plain,
op1(op1(e10,e12),e11) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_1_575,refute_1_962]) ).
cnf(refute_1_964,plain,
( op1(e12,e11) != e10
| op1(op1(e10,e12),e11) != op1(e12,e11)
| op1(op1(e10,e12),e11) = e10 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op1(op1(e10,e12),e11))),bind(Y,$fot(op1(e12,e11))),bind(Z,$fot(e10))]]) ).
cnf(refute_1_965,plain,
( op1(e12,e11) != e10
| op1(op1(e10,e12),e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e12,e11)) )],[refute_1_963,refute_1_964]) ).
cnf(refute_1_966,plain,
op1(op1(e10,e12),e11) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_1_546,refute_1_965]) ).
cnf(refute_1_967,plain,
( op1(op1(e10,e12),e11) != e10
| op1(op1(e10,e12),e11) != op1(e10,e10)
| e10 = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,e10)) ),[0],$fot(e10)]]) ).
cnf(refute_1_968,plain,
( op1(op1(e10,e12),e11) != op1(e10,e10)
| e10 = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),e10) )],[refute_1_966,refute_1_967]) ).
cnf(refute_1_969,plain,
e10 = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e11),op1(e10,e10)) )],[refute_1_959,refute_1_968]) ).
cnf(refute_1_970,plain,
( e10 != op1(e10,e10)
| op1(e10,e10) = e10 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e10,e10)))]]) ).
cnf(refute_1_971,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e10,e10)) )],[refute_1_969,refute_1_970]) ).
cnf(refute_1_972,plain,
h4(op1(e10,e10)) = h4(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e10)))]]) ).
cnf(refute_1_973,plain,
( h4(op1(e10,e10)) != h4(op1(e10,e10))
| op1(e10,e10) != e10
| h4(op1(e10,e10)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_1_974,plain,
( op1(e10,e10) != e10
| h4(op1(e10,e10)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(op1(e10,e10))) )],[refute_1_972,refute_1_973]) ).
cnf(refute_1_975,plain,
h4(op1(e10,e10)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_1_971,refute_1_974]) ).
cnf(refute_1_976,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e10)) != h4(e10)
| h4(op1(e10,e10)) = h1(e13) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(h4(op1(e10,e10)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_1_977,plain,
( h4(e10) != h1(e13)
| h4(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h4(e10)) )],[refute_1_975,refute_1_976]) ).
cnf(refute_1_978,plain,
h4(op1(e10,e10)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_1_314,refute_1_977]) ).
cnf(refute_1_979,plain,
( h4(op1(e10,e10)) != h1(e13)
| h4(op1(e10,e10)) != op2(h1(e13),h1(e13))
| h1(e13) = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e10)),op2(h1(e13),h1(e13))) ),[0],$fot(h1(e13))]]) ).
cnf(refute_1_980,plain,
( h4(op1(e10,e10)) != op2(h1(e13),h1(e13))
| h1(e13) = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),h1(e13)) )],[refute_1_978,refute_1_979]) ).
cnf(refute_1_981,plain,
h1(e13) = op2(h1(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e10)),op2(h1(e13),h1(e13))) )],[refute_1_906,refute_1_980]) ).
cnf(refute_1_982,plain,
( h1(e13) != e21
| h1(e13) != op2(h1(e13),h1(e13))
| e21 = op2(h1(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(h1(e13),h1(e13))) ),[0],$fot(e21)]]) ).
cnf(refute_1_983,plain,
( h1(e13) != op2(h1(e13),h1(e13))
| e21 = op2(h1(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_1_814,refute_1_982]) ).
cnf(refute_1_984,plain,
( h2(e13) != e22
| h2(e13) != op2(e21,e21)
| e22 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),op2(e21,e21)) ),[0],$fot(e22)]]) ).
cnf(refute_1_985,plain,
( h2(e13) != op2(e21,e21)
| e22 = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_802,refute_1_984]) ).
cnf(refute_1_986,plain,
e22 = op2(e21,e21),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_1_46,refute_1_985]) ).
cnf(refute_1_987,plain,
( e22 != op2(e21,e21)
| op2(e21,e21) = e22 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e22)),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_988,plain,
op2(e21,e21) = e22,
inference(resolve,[$cnf( $equal(e22,op2(e21,e21)) )],[refute_1_986,refute_1_987]) ).
cnf(refute_1_989,plain,
op2(e21,h1(e13)) = op2(e21,h1(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h1(e13)))]]) ).
cnf(refute_1_990,plain,
( h1(e13) != e21
| op2(e21,h1(e13)) != op2(e21,h1(e13))
| op2(e21,h1(e13)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h1(e13)),op2(e21,h1(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_991,plain,
( h1(e13) != e21
| op2(e21,h1(e13)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h1(e13)),op2(e21,h1(e13))) )],[refute_1_989,refute_1_990]) ).
cnf(refute_1_992,plain,
op2(e21,h1(e13)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_1_814,refute_1_991]) ).
cnf(refute_1_993,plain,
op2(h1(e13),h1(e13)) = op2(h1(e13),h1(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_1_994,plain,
( h1(e13) != e21
| op2(h1(e13),h1(e13)) != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) = op2(e21,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_1_995,plain,
( h1(e13) != e21
| op2(h1(e13),h1(e13)) = op2(e21,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(h1(e13),h1(e13))) )],[refute_1_993,refute_1_994]) ).
cnf(refute_1_996,plain,
op2(h1(e13),h1(e13)) = op2(e21,h1(e13)),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_1_814,refute_1_995]) ).
cnf(refute_1_997,plain,
( op2(e21,h1(e13)) != op2(e21,e21)
| op2(h1(e13),h1(e13)) != op2(e21,h1(e13))
| op2(h1(e13),h1(e13)) = op2(e21,e21) ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e21,h1(e13)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_1_998,plain,
( op2(e21,h1(e13)) != op2(e21,e21)
| op2(h1(e13),h1(e13)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e21,h1(e13))) )],[refute_1_996,refute_1_997]) ).
cnf(refute_1_999,plain,
op2(h1(e13),h1(e13)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h1(e13)),op2(e21,e21)) )],[refute_1_992,refute_1_998]) ).
cnf(refute_1_1000,plain,
( op2(e21,e21) != e22
| op2(h1(e13),h1(e13)) != op2(e21,e21)
| op2(h1(e13),h1(e13)) = e22 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(h1(e13),h1(e13)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e22))]]) ).
cnf(refute_1_1001,plain,
( op2(e21,e21) != e22
| op2(h1(e13),h1(e13)) = e22 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),op2(e21,e21)) )],[refute_1_999,refute_1_1000]) ).
cnf(refute_1_1002,plain,
op2(h1(e13),h1(e13)) = e22,
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_1_988,refute_1_1001]) ).
cnf(refute_1_1003,plain,
( e21 != op2(h1(e13),h1(e13))
| op2(h1(e13),h1(e13)) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e22) ),[0],$fot(op2(h1(e13),h1(e13)))]]) ).
cnf(refute_1_1004,plain,
( e21 != op2(h1(e13),h1(e13))
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h1(e13)),e22) )],[refute_1_1002,refute_1_1003]) ).
cnf(refute_1_1005,plain,
( h1(e13) != op2(h1(e13),h1(e13))
| e21 = e22 ),
inference(resolve,[$cnf( $equal(e21,op2(h1(e13),h1(e13))) )],[refute_1_983,refute_1_1004]) ).
cnf(refute_1_1006,plain,
e21 = e22,
inference(resolve,[$cnf( $equal(h1(e13),op2(h1(e13),h1(e13))) )],[refute_1_981,refute_1_1005]) ).
cnf(refute_1_1007,plain,
( e21 != e22
| e22 = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(e22))]]) ).
cnf(refute_1_1008,plain,
e22 = e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_1_1006,refute_1_1007]) ).
cnf(refute_1_1009,plain,
( h2(e13) != e22
| op2(e20,e23) != h2(e13)
| op2(e20,e23) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h2(e13)) ),[1],$fot(e22)]]) ).
cnf(refute_1_1010,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,e23) = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_1_802,refute_1_1009]) ).
cnf(refute_1_1011,plain,
op2(e20,e23) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_1_158,refute_1_1010]) ).
cnf(refute_1_1012,plain,
( e22 != e21
| op2(e20,e23) != e22
| op2(e20,e23) = e21 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22)),bind(Z,$fot(e21))]]) ).
cnf(refute_1_1013,plain,
( e22 != e21
| op2(e20,e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_1011,refute_1_1012]) ).
cnf(refute_1_1014,plain,
op2(e20,e23) = e21,
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1008,refute_1_1013]) ).
cnf(refute_1_1015,plain,
( h2(e10) != e23
| h2(e10) != op2(e20,e21)
| e23 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),op2(e20,e21)) ),[0],$fot(e23)]]) ).
cnf(refute_1_1016,plain,
( h2(e10) != op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_1_848,refute_1_1015]) ).
cnf(refute_1_1017,plain,
e23 = op2(e20,e21),
inference(resolve,[$cnf( $equal(h2(e10),op2(e20,e21)) )],[refute_1_716,refute_1_1016]) ).
cnf(refute_1_1018,plain,
( e23 != op2(e20,e21)
| op2(e20,e21) = e23 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_1_1019,plain,
op2(e20,e21) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e20,e21)) )],[refute_1_1017,refute_1_1018]) ).
cnf(refute_1_1020,plain,
op2(e20,e22) = op2(e20,e22),
introduced(tautology,[refl,[$fot(op2(e20,e22))]]) ).
cnf(refute_1_1021,plain,
( e22 != e21
| op2(e20,e22) != op2(e20,e22)
| op2(e20,e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) ),[1,1],$fot(e21)]]) ).
cnf(refute_1_1022,plain,
( e22 != e21
| op2(e20,e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) )],[refute_1_1020,refute_1_1021]) ).
cnf(refute_1_1023,plain,
op2(e20,e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1008,refute_1_1022]) ).
cnf(refute_1_1024,plain,
( op2(e20,e21) != e23
| op2(e20,e22) != op2(e20,e21)
| op2(e20,e22) = e23 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e20,e21))),bind(Z,$fot(e23))]]) ).
cnf(refute_1_1025,plain,
( op2(e20,e21) != e23
| op2(e20,e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e21)) )],[refute_1_1023,refute_1_1024]) ).
cnf(refute_1_1026,plain,
op2(e20,e22) = e23,
inference(resolve,[$cnf( $equal(op2(e20,e21),e23) )],[refute_1_1019,refute_1_1025]) ).
cnf(refute_1_1027,plain,
op2(e20,op2(e20,e22)) = op2(e20,op2(e20,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e22)))]]) ).
cnf(refute_1_1028,plain,
( op2(e20,e22) != e23
| op2(e20,op2(e20,e22)) != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,op2(e20,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_1_1029,plain,
( op2(e20,e22) != e23
| op2(e20,op2(e20,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,op2(e20,e22))) )],[refute_1_1027,refute_1_1028]) ).
cnf(refute_1_1030,plain,
op2(e20,op2(e20,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_1_1026,refute_1_1029]) ).
cnf(refute_1_1031,plain,
( op2(e20,e23) != e21
| op2(e20,op2(e20,e22)) != op2(e20,e23)
| op2(e20,op2(e20,e22)) = e21 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,op2(e20,e22)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_1_1032,plain,
( op2(e20,e23) != e21
| op2(e20,op2(e20,e22)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,e23)) )],[refute_1_1030,refute_1_1031]) ).
cnf(refute_1_1033,plain,
op2(e20,op2(e20,e22)) = e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),e21) )],[refute_1_1014,refute_1_1032]) ).
cnf(refute_1_1034,plain,
( e20 != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(op2(e20,op2(e20,e22)))]]) ).
cnf(refute_1_1035,plain,
( e20 != op2(e20,op2(e20,e22))
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e21) )],[refute_1_1033,refute_1_1034]) ).
cnf(refute_1_1036,plain,
e20 = e21,
inference(resolve,[$cnf( $equal(e20,op2(e20,op2(e20,e22))) )],[refute_1_891,refute_1_1035]) ).
cnf(refute_1_1037,plain,
( e20 != e21
| e21 = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(e21))]]) ).
cnf(refute_1_1038,plain,
e21 = e20,
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_1_1036,refute_1_1037]) ).
cnf(refute_1_1039,plain,
( e21 != e20
| e22 != e21
| e22 = e20 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(e22)),bind(Y,$fot(e21)),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1040,plain,
( e21 != e20
| e22 = e20 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_1_1008,refute_1_1039]) ).
cnf(refute_1_1041,plain,
e22 = e20,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_1038,refute_1_1040]) ).
cnf(refute_1_1042,plain,
( e22 != e20
| op2(e20,e23) != e22
| op2(e20,e23) = e20 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,e23))),bind(Y,$fot(e22)),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1043,plain,
( e22 != e20
| op2(e20,e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e23),e22) )],[refute_1_1011,refute_1_1042]) ).
cnf(refute_1_1044,plain,
op2(e20,e23) = e20,
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_1041,refute_1_1043]) ).
cnf(refute_1_1045,plain,
( h1(e13) != e21
| h1(e13) != op2(e20,e20)
| e21 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_1_1046,plain,
( h1(e13) != op2(e20,e20)
| e21 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_1_814,refute_1_1045]) ).
cnf(refute_1_1047,plain,
e21 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_1_1,refute_1_1046]) ).
cnf(refute_1_1048,plain,
( e21 != op2(e20,e20)
| op2(e20,e20) = e21 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_1_1049,plain,
op2(e20,e20) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_1_1047,refute_1_1048]) ).
cnf(refute_1_1050,plain,
( e21 != e20
| op2(e20,e20) != e21
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(e21)),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1051,plain,
( e21 != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_1_1049,refute_1_1050]) ).
cnf(refute_1_1052,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_1_1038,refute_1_1051]) ).
cnf(refute_1_1053,plain,
( e22 != e20
| op2(e20,e22) != op2(e20,e22)
| op2(e20,e22) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) ),[1,1],$fot(e20)]]) ).
cnf(refute_1_1054,plain,
( e22 != e20
| op2(e20,e22) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) )],[refute_1_1020,refute_1_1053]) ).
cnf(refute_1_1055,plain,
op2(e20,e22) = op2(e20,e20),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_1_1041,refute_1_1054]) ).
cnf(refute_1_1056,plain,
( op2(e20,e20) != e20
| op2(e20,e22) != op2(e20,e20)
| op2(e20,e22) = e20 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1057,plain,
( op2(e20,e20) != e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e20)) )],[refute_1_1055,refute_1_1056]) ).
cnf(refute_1_1058,plain,
op2(e20,e22) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_1_1052,refute_1_1057]) ).
cnf(refute_1_1059,plain,
op2(op2(e20,e22),e23) = op2(op2(e20,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e23))]]) ).
cnf(refute_1_1060,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),e23) != op2(op2(e20,e22),e23)
| op2(op2(e20,e22),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_1_1061,plain,
( op2(e20,e22) != e20
| op2(op2(e20,e22),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) )],[refute_1_1059,refute_1_1060]) ).
cnf(refute_1_1062,plain,
op2(op2(e20,e22),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_1_1058,refute_1_1061]) ).
cnf(refute_1_1063,plain,
( op2(e20,e23) != e20
| op2(op2(e20,e22),e23) != op2(e20,e23)
| op2(op2(e20,e22),e23) = e20 ),
inference(subst,[],[refute_1_71:[bind(X,$fot(op2(op2(e20,e22),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_1_1064,plain,
( op2(e20,e23) != e20
| op2(op2(e20,e22),e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,e23)) )],[refute_1_1062,refute_1_1063]) ).
cnf(refute_1_1065,plain,
op2(op2(e20,e22),e23) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e23),e20) )],[refute_1_1044,refute_1_1064]) ).
cnf(refute_1_1066,plain,
( op2(op2(e20,e22),e23) != e20
| op2(op2(e20,e22),e23) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),e23) ),[0],$fot(e20)]]) ).
cnf(refute_1_1067,plain,
( op2(op2(e20,e22),e23) != e23
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),e20) )],[refute_1_1065,refute_1_1066]) ).
cnf(refute_1_1068,plain,
e20 = e23,
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),e23) )],[refute_1_885,refute_1_1067]) ).
cnf(refute_1_1069,plain,
( e20 != e23
| e23 = e20 ),
inference(subst,[],[refute_1_4:[bind(X,$fot(e20)),bind(Y,$fot(e23))]]) ).
cnf(refute_1_1070,plain,
e23 = e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_1_1068,refute_1_1069]) ).
cnf(refute_1_1071,plain,
( e23 != e20
| h2(e10) != e23
| h2(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e10),e23) ),[1],$fot(e20)]]) ).
cnf(refute_1_1072,plain,
( h2(e10) != e23
| h2(e10) = e20 ),
inference(resolve,[$cnf( $equal(e23,e20) )],[refute_1_1070,refute_1_1071]) ).
cnf(refute_1_1073,plain,
h2(e10) = e20,
inference(resolve,[$cnf( $equal(h2(e10),e23) )],[refute_1_848,refute_1_1072]) ).
cnf(refute_1_1074,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_1_79]) ).
cnf(refute_1_1075,plain,
( op2(e20,e21) != e20
| op2(e22,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1076,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_1_675,refute_1_1075]) ).
cnf(refute_1_1077,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_1_1076,refute_1_1074]) ).
cnf(refute_1_1078,plain,
( h2(e10) != e20
| op2(e20,e21) != h2(e10)
| op2(e20,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h2(e10)) ),[1],$fot(e20)]]) ).
cnf(refute_1_1079,plain,
( h2(e10) != e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e10)) )],[refute_1_718,refute_1_1078]) ).
cnf(refute_1_1080,plain,
h2(e10) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_1_1079,refute_1_1077]) ).
cnf(refute_1_1081,plain,
$false,
inference(resolve,[$cnf( $equal(h2(e10),e20) )],[refute_1_1073,refute_1_1080]) ).
fof(negate_2_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(negate,[],[subgoal_2]) ).
fof(normalize_2_0,plain,
( op2(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(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_2,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_2_3,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_4,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_5,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_2_6,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_2_5]) ).
fof(normalize_2_7,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_8,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_2_9,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_10,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_11,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_12,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_13,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_14,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_2_15,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_16,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_2_8]) ).
fof(normalize_2_17,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_2_0]) ).
fof(normalize_2_18,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_2_2]) ).
fof(normalize_2_19,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_2_5]) ).
fof(normalize_2_20,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_2_21,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_2_20]) ).
fof(normalize_2_22,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_2_17,normalize_2_18,normalize_2_19,normalize_2_21]) ).
fof(normalize_2_23,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_24,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_25,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_26,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_27,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_28,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_29,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_30,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_31,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_32,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_33,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_34,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_35,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_36,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_37,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_2_38,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_39,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_40,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_41,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_2_37]) ).
fof(normalize_2_42,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_43,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_44,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_45,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_46,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_47,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(conjunct,[],[normalize_2_46]) ).
fof(normalize_2_48,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_2_49,plain,
op1(e12,e10) != op1(e12,e12),
inference(conjunct,[],[normalize_2_48]) ).
fof(normalize_2_50,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_51,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_2_32]) ).
fof(normalize_2_52,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_2_48]) ).
fof(normalize_2_53,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_2_48]) ).
fof(normalize_2_54,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_55,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(conjunct,[],[normalize_2_54]) ).
fof(normalize_2_56,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_57,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_58,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_59,plain,
op2(e21,e20) != op2(e23,e20),
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_60,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_61,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_62,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_63,plain,
op2(e20,e20) != op2(e20,e23),
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_64,plain,
op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_65,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_66,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_67,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_68,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_69,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_2_5]) ).
fof(normalize_2_70,plain,
op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_71,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_72,plain,
op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_73,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_74,plain,
op2(e23,e20) != op2(e23,e23),
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_75,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(conjunct,[],[normalize_2_54]) ).
fof(normalize_2_76,plain,
op2(e23,e20) != op2(e23,e22),
inference(conjunct,[],[normalize_2_58]) ).
fof(normalize_2_77,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_2_22]) ).
fof(normalize_2_78,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_2_14]) ).
fof(normalize_2_79,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(conjunct,[],[normalize_2_0]) ).
fof(normalize_2_80,plain,
op2(e20,e20) != op2(e20,e22),
inference(conjunct,[],[normalize_2_58]) ).
cnf(refute_2_0,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_2_1]) ).
cnf(refute_2_1,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_2_3]) ).
cnf(refute_2_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_2_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_2_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_2_2,refute_2_3]) ).
cnf(refute_2_5,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_2_6,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_2_1,refute_2_5]) ).
cnf(refute_2_7,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_2_8,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_9,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_2_7,refute_2_8]) ).
cnf(refute_2_10,plain,
op2(op2(e20,e20),e23) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_9]) ).
cnf(refute_2_11,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_2_12,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h1(e13),e23)) )],[refute_2_10,refute_2_11]) ).
cnf(refute_2_13,plain,
op2(h1(e13),e23) = op2(e20,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_2_0,refute_2_12]) ).
cnf(refute_2_14,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_2_4]) ).
cnf(refute_2_15,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_2_6]) ).
cnf(refute_2_16,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_2_17,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_2_15,refute_2_16]) ).
cnf(refute_2_18,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_2_7]) ).
cnf(refute_2_19,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_2_9]) ).
cnf(refute_2_20,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_2_21,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_2_19,refute_2_20]) ).
cnf(refute_2_22,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_2_23,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_24,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_2_22,refute_2_23]) ).
cnf(refute_2_25,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_21,refute_2_24]) ).
cnf(refute_2_26,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_2_27,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_2_25,refute_2_26]) ).
cnf(refute_2_28,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_2_10]) ).
cnf(refute_2_29,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_2_30,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_2_28,refute_2_29]) ).
cnf(refute_2_31,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_2_32,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_2_30,refute_2_31]) ).
cnf(refute_2_33,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_2_27,refute_2_32]) ).
cnf(refute_2_34,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_2_18,refute_2_33]) ).
cnf(refute_2_35,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_2_36,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_37,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_2_35,refute_2_36]) ).
cnf(refute_2_38,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_2_34,refute_2_37]) ).
cnf(refute_2_39,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_2_40,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_2_4,refute_2_39]) ).
cnf(refute_2_41,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_2_42,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_2_38,refute_2_41]) ).
cnf(refute_2_43,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_42]) ).
cnf(refute_2_44,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_2_45,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_2_43,refute_2_44]) ).
cnf(refute_2_46,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_2_14,refute_2_45]) ).
cnf(refute_2_47,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_2_11]) ).
cnf(refute_2_48,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_2_49,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_50,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_2_48,refute_2_49]) ).
cnf(refute_2_51,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_21,refute_2_50]) ).
cnf(refute_2_52,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_2_53,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_2_51,refute_2_52]) ).
cnf(refute_2_54,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_2_47,refute_2_53]) ).
cnf(refute_2_55,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_2_12]) ).
cnf(refute_2_56,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_2_57,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_58,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_2_56,refute_2_57]) ).
cnf(refute_2_59,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_21,refute_2_58]) ).
cnf(refute_2_60,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_2_61,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_2_59,refute_2_60]) ).
cnf(refute_2_62,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_2_55,refute_2_61]) ).
cnf(refute_2_63,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_2_13]) ).
cnf(refute_2_64,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_2_65,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_66,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_2_64,refute_2_65]) ).
cnf(refute_2_67,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_2_34,refute_2_66]) ).
cnf(refute_2_68,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_2_69,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_2_67,refute_2_68]) ).
cnf(refute_2_70,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_2_15]) ).
cnf(refute_2_71,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_2_72,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_2_70,refute_2_71]) ).
cnf(refute_2_73,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_2_74,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_75,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_2_73,refute_2_74]) ).
cnf(refute_2_76,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_21,refute_2_75]) ).
cnf(refute_2_77,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_2_78,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_2_76,refute_2_77]) ).
cnf(refute_2_79,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_72,refute_2_78]) ).
cnf(refute_2_80,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_2_81,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_2_79,refute_2_80]) ).
cnf(refute_2_82,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_2_69,refute_2_81]) ).
cnf(refute_2_83,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_2_63,refute_2_82]) ).
cnf(refute_2_84,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_2_85,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_2_86,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_2_84,refute_2_85]) ).
cnf(refute_2_87,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_2_83,refute_2_86]) ).
cnf(refute_2_88,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_2_89,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_2_87,refute_2_88]) ).
cnf(refute_2_90,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_2_62,refute_2_89]) ).
cnf(refute_2_91,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_2_16]) ).
cnf(refute_2_92,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_2_93,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_94,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_2_92,refute_2_93]) ).
cnf(refute_2_95,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_2_30,refute_2_94]) ).
cnf(refute_2_96,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_2_97,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_2_95,refute_2_96]) ).
cnf(refute_2_98,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_2_83,refute_2_97]) ).
cnf(refute_2_99,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_2_100,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_2_98,refute_2_99]) ).
cnf(refute_2_101,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_2_91,refute_2_100]) ).
cnf(refute_2_102,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_2_103,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_2_101,refute_2_102]) ).
cnf(refute_2_104,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_2_105,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_106,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_2_104,refute_2_105]) ).
cnf(refute_2_107,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_106]) ).
cnf(refute_2_108,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_2_109,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_2_107,refute_2_108]) ).
cnf(refute_2_110,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_2_90,refute_2_109]) ).
cnf(refute_2_111,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_2_112,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_2_110,refute_2_111]) ).
cnf(refute_2_113,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_2_114,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_2_115,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_2_113,refute_2_114]) ).
cnf(refute_2_116,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_2_112,refute_2_115]) ).
cnf(refute_2_117,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_2_118,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_2_116,refute_2_117]) ).
cnf(refute_2_119,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_2_54,refute_2_118]) ).
cnf(refute_2_120,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_2_121,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_2_119,refute_2_120]) ).
cnf(refute_2_122,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_2_46,refute_2_121]) ).
cnf(refute_2_123,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_2_124,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_125,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_2_123,refute_2_124]) ).
cnf(refute_2_126,plain,
op2(e20,op2(e20,e23)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_125]) ).
cnf(refute_2_127,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_2_128,plain,
( op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h2(e13))) )],[refute_2_126,refute_2_127]) ).
cnf(refute_2_129,plain,
op2(h1(e13),e23) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) )],[refute_2_13,refute_2_128]) ).
cnf(refute_2_130,plain,
h4(op1(e10,e11)) = op2(h4(e10),h4(e11)),
inference(canonicalize,[],[normalize_2_23]) ).
cnf(refute_2_131,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_24]) ).
cnf(refute_2_132,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_2_133,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_2_134,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_2_132,refute_2_133]) ).
cnf(refute_2_135,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_72,refute_2_134]) ).
cnf(refute_2_136,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_2_137,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_2_135,refute_2_136]) ).
cnf(refute_2_138,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_25]) ).
cnf(refute_2_139,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_2_140,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_2_138,refute_2_139]) ).
cnf(refute_2_141,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_2_142,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_2_140,refute_2_141]) ).
cnf(refute_2_143,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_2_137,refute_2_142]) ).
cnf(refute_2_144,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_2_131,refute_2_143]) ).
cnf(refute_2_145,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_2_146,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_147,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_2_145,refute_2_146]) ).
cnf(refute_2_148,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_147]) ).
cnf(refute_2_149,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_2_150,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_2_148,refute_2_149]) ).
cnf(refute_2_151,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_150]) ).
cnf(refute_2_152,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_153,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_2_151,refute_2_152]) ).
cnf(refute_2_154,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_2_144,refute_2_153]) ).
cnf(refute_2_155,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_2_156,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_2_154,refute_2_155]) ).
cnf(refute_2_157,plain,
op2(h1(e13),h4(e11)) = op2(h1(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e11)))]]) ).
cnf(refute_2_158,plain,
( h4(e11) != h2(e13)
| op2(h1(e13),h4(e11)) != op2(h1(e13),h4(e11))
| op2(h1(e13),h4(e11)) = op2(h1(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_159,plain,
( h4(e11) != h2(e13)
| op2(h1(e13),h4(e11)) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h4(e11))) )],[refute_2_157,refute_2_158]) ).
cnf(refute_2_160,plain,
op2(h1(e13),h4(e11)) = op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_156,refute_2_159]) ).
cnf(refute_2_161,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_2_26]) ).
cnf(refute_2_162,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_2_27]) ).
cnf(refute_2_163,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_2_164,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_165,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_2_163,refute_2_164]) ).
cnf(refute_2_166,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_165]) ).
cnf(refute_2_167,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_2_168,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_2_166,refute_2_167]) ).
cnf(refute_2_169,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_2_162,refute_2_168]) ).
cnf(refute_2_170,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_2_28]) ).
cnf(refute_2_171,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_2_29]) ).
cnf(refute_2_172,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_2_173,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_174,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_2_172,refute_2_173]) ).
cnf(refute_2_175,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_174]) ).
cnf(refute_2_176,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_2_177,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_2_175,refute_2_176]) ).
cnf(refute_2_178,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_2_171,refute_2_177]) ).
cnf(refute_2_179,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_2_180,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_2_178,refute_2_179]) ).
cnf(refute_2_181,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_2_30]) ).
cnf(refute_2_182,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_2_183,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_2_184,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_2_182,refute_2_183]) ).
cnf(refute_2_185,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_72,refute_2_184]) ).
cnf(refute_2_186,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_2_187,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_2_185,refute_2_186]) ).
cnf(refute_2_188,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_2_90,refute_2_187]) ).
cnf(refute_2_189,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_2_190,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_2_188,refute_2_189]) ).
cnf(refute_2_191,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_2_192,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_193,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_2_191,refute_2_192]) ).
cnf(refute_2_194,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_2_34,refute_2_193]) ).
cnf(refute_2_195,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_2_196,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_2_194,refute_2_195]) ).
cnf(refute_2_197,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_2_190,refute_2_196]) ).
cnf(refute_2_198,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_2_181,refute_2_197]) ).
cnf(refute_2_199,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_2_200,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_2_198,refute_2_199]) ).
cnf(refute_2_201,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_2_202,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_2_203,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_2_201,refute_2_202]) ).
cnf(refute_2_204,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_2_200,refute_2_203]) ).
cnf(refute_2_205,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_2_206,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_2_204,refute_2_205]) ).
cnf(refute_2_207,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_2_180,refute_2_206]) ).
cnf(refute_2_208,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_2_209,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_2_207,refute_2_208]) ).
cnf(refute_2_210,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_2_170,refute_2_209]) ).
cnf(refute_2_211,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_2_212,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_2_213,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_2_211,refute_2_212]) ).
cnf(refute_2_214,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_2_200,refute_2_213]) ).
cnf(refute_2_215,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_2_216,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_2_214,refute_2_215]) ).
cnf(refute_2_217,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_2_210,refute_2_216]) ).
cnf(refute_2_218,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_2_219,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_2_217,refute_2_218]) ).
cnf(refute_2_220,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_2_169,refute_2_219]) ).
cnf(refute_2_221,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_2_31]) ).
cnf(refute_2_222,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_2_223,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_2_224,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_2_222,refute_2_223]) ).
cnf(refute_2_225,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_72,refute_2_224]) ).
cnf(refute_2_226,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_2_227,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_2_225,refute_2_226]) ).
cnf(refute_2_228,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_2_221,refute_2_227]) ).
cnf(refute_2_229,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_2_230,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_231,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_2_229,refute_2_230]) ).
cnf(refute_2_232,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_231]) ).
cnf(refute_2_233,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_2_234,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_2_232,refute_2_233]) ).
cnf(refute_2_235,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_234]) ).
cnf(refute_2_236,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_2_237,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_2_235,refute_2_236]) ).
cnf(refute_2_238,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_2_228,refute_2_237]) ).
cnf(refute_2_239,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_2_240,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_241,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_2_239,refute_2_240]) ).
cnf(refute_2_242,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_241]) ).
cnf(refute_2_243,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_2_244,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_2_242,refute_2_243]) ).
cnf(refute_2_245,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_2_220,refute_2_244]) ).
cnf(refute_2_246,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_2_247,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_2_245,refute_2_246]) ).
cnf(refute_2_248,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_2_238,refute_2_247]) ).
cnf(refute_2_249,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_2_250,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_2_248,refute_2_249]) ).
cnf(refute_2_251,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_2_220,refute_2_250]) ).
cnf(refute_2_252,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_2_253,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_2_140,refute_2_252]) ).
cnf(refute_2_254,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_156,refute_2_253]) ).
cnf(refute_2_255,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_2_256,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_257,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_2_255,refute_2_256]) ).
cnf(refute_2_258,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_2_254,refute_2_257]) ).
cnf(refute_2_259,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_2_260,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_2_258,refute_2_259]) ).
cnf(refute_2_261,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_2_251,refute_2_260]) ).
cnf(refute_2_262,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_2_263,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_2_261,refute_2_262]) ).
cnf(refute_2_264,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_2_161,refute_2_263]) ).
cnf(refute_2_265,plain,
op2(h4(e10),h4(e11)) = op2(h4(e10),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_266,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_267,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h4(e10),h4(e11))) )],[refute_2_265,refute_2_266]) ).
cnf(refute_2_268,plain,
op2(h4(e10),h4(e11)) = op2(h1(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_2_264,refute_2_267]) ).
cnf(refute_2_269,plain,
( op2(h1(e13),h4(e11)) != op2(h1(e13),h2(e13))
| op2(h4(e10),h4(e11)) != op2(h1(e13),h4(e11))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h2(e13)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(h4(e10),h4(e11)))),bind(Y,$fot(op2(h1(e13),h4(e11)))),bind(Z,$fot(op2(h1(e13),h2(e13))))]]) ).
cnf(refute_2_270,plain,
( op2(h1(e13),h4(e11)) != op2(h1(e13),h2(e13))
| op2(h4(e10),h4(e11)) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h1(e13),h4(e11))) )],[refute_2_268,refute_2_269]) ).
cnf(refute_2_271,plain,
op2(h4(e10),h4(e11)) = op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e11)),op2(h1(e13),h2(e13))) )],[refute_2_160,refute_2_270]) ).
cnf(refute_2_272,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| op2(h4(e10),h4(e11)) != op2(h1(e13),h2(e13))
| h4(op1(e10,e11)) = op2(h1(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h1(e13),h2(e13))) ),[0],$fot(op2(h4(e10),h4(e11)))]]) ).
cnf(refute_2_273,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e11)) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e11)),op2(h1(e13),h2(e13))) )],[refute_2_271,refute_2_272]) ).
cnf(refute_2_274,plain,
h4(op1(e10,e11)) = op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e10),h4(e11))) )],[refute_2_130,refute_2_273]) ).
cnf(refute_2_275,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(canonicalize,[],[normalize_2_33]) ).
cnf(refute_2_276,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_2_34]) ).
cnf(refute_2_277,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_2_35]) ).
cnf(refute_2_278,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_2_36]) ).
cnf(refute_2_279,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_2_38]) ).
cnf(refute_2_280,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_2_281,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_2_279,refute_2_280]) ).
cnf(refute_2_282,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_2_283,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_2_284,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_2_282,refute_2_283]) ).
cnf(refute_2_285,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_281,refute_2_284]) ).
cnf(refute_2_286,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_2_287,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_2_285,refute_2_286]) ).
cnf(refute_2_288,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_2_39]) ).
cnf(refute_2_289,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_2_290,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_2_288,refute_2_289]) ).
cnf(refute_2_291,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_2_292,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_2_290,refute_2_291]) ).
cnf(refute_2_293,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_2_287,refute_2_292]) ).
cnf(refute_2_294,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_2_278,refute_2_293]) ).
cnf(refute_2_295,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_2_296,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_2_297,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_2_295,refute_2_296]) ).
cnf(refute_2_298,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_2_294,refute_2_297]) ).
cnf(refute_2_299,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_2_300,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_2_298,refute_2_299]) ).
cnf(refute_2_301,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_2_302,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_303,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_2_301,refute_2_302]) ).
cnf(refute_2_304,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_281,refute_2_303]) ).
cnf(refute_2_305,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_2_306,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_2_304,refute_2_305]) ).
cnf(refute_2_307,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_2_300,refute_2_306]) ).
cnf(refute_2_308,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_2_277,refute_2_307]) ).
cnf(refute_2_309,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_310,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_2_308,refute_2_309]) ).
cnf(refute_2_311,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_2_312,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_2_313,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_2_311,refute_2_312]) ).
cnf(refute_2_314,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_2_310,refute_2_313]) ).
cnf(refute_2_315,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_2_316,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e11,e12))) )],[refute_2_314,refute_2_315]) ).
cnf(refute_2_317,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_2_276,refute_2_316]) ).
cnf(refute_2_318,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_2_40]) ).
cnf(refute_2_319,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_2_320,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_321,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_2_319,refute_2_320]) ).
cnf(refute_2_322,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_281,refute_2_321]) ).
cnf(refute_2_323,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_2_324,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_2_322,refute_2_323]) ).
cnf(refute_2_325,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_2_318,refute_2_324]) ).
cnf(refute_2_326,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_2_41]) ).
cnf(refute_2_327,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_2_328,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_2_329,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_2_327,refute_2_328]) ).
cnf(refute_2_330,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_2_290,refute_2_329]) ).
cnf(refute_2_331,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_2_332,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_2_330,refute_2_331]) ).
cnf(refute_2_333,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_2_326,refute_2_332]) ).
cnf(refute_2_334,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_2_335,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_2_333,refute_2_334]) ).
cnf(refute_2_336,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_2_337,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_2_338,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_2_336,refute_2_337]) ).
cnf(refute_2_339,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_335,refute_2_338]) ).
cnf(refute_2_340,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_341,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_2_339,refute_2_340]) ).
cnf(refute_2_342,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_2_325,refute_2_341]) ).
cnf(refute_2_343,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_2_344,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_2_342,refute_2_343]) ).
cnf(refute_2_345,plain,
op1(op1(e11,e13),e13) = op1(op1(e11,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),e13))]]) ).
cnf(refute_2_346,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_2_347,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e11,e13),e13)) )],[refute_2_345,refute_2_346]) ).
cnf(refute_2_348,plain,
op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_2_344,refute_2_347]) ).
cnf(refute_2_349,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) != op1(op1(e10,e12),e13)
| op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op1(op1(e11,e13),e13))),bind(Y,$fot(op1(op1(e10,e12),e13))),bind(Z,$fot(op1(e10,op1(e12,e13))))]]) ).
cnf(refute_2_350,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e10,e12),e13)) )],[refute_2_348,refute_2_349]) ).
cnf(refute_2_351,plain,
op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_2_275,refute_2_350]) ).
cnf(refute_2_352,plain,
( op1(op1(e11,e13),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,op1(e12,e13)))]]) ).
cnf(refute_2_353,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e10,op1(e12,e13))) )],[refute_2_351,refute_2_352]) ).
cnf(refute_2_354,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(canonicalize,[],[normalize_2_42]) ).
cnf(refute_2_355,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(canonicalize,[],[normalize_2_43]) ).
cnf(refute_2_356,plain,
op1(op1(e13,e13),e11) = op1(op1(e13,e13),e11),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e11))]]) ).
cnf(refute_2_357,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) != op1(op1(e13,e13),e11)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_2_358,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) )],[refute_2_356,refute_2_357]) ).
cnf(refute_2_359,plain,
op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_2_310,refute_2_358]) ).
cnf(refute_2_360,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(op1(e11,e12),e11)
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op1(op1(e13,e13),e11))),bind(Y,$fot(op1(op1(e11,e12),e11))),bind(Z,$fot(op1(e11,op1(e12,e11))))]]) ).
cnf(refute_2_361,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e11,e12),e11)) )],[refute_2_359,refute_2_360]) ).
cnf(refute_2_362,plain,
op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_2_354,refute_2_361]) ).
cnf(refute_2_363,plain,
( op1(op1(e13,e13),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) ),[0],$fot(op1(e11,op1(e12,e11)))]]) ).
cnf(refute_2_364,plain,
( op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e11,op1(e12,e11))) )],[refute_2_362,refute_2_363]) ).
cnf(refute_2_365,plain,
op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) )],[refute_2_355,refute_2_364]) ).
cnf(refute_2_366,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(canonicalize,[],[normalize_2_44]) ).
cnf(refute_2_367,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_2_45]) ).
cnf(refute_2_368,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_2_369,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_2_370,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_2_368,refute_2_369]) ).
cnf(refute_2_371,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_2_310,refute_2_370]) ).
cnf(refute_2_372,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_2_373,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_2_371,refute_2_372]) ).
cnf(refute_2_374,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_2_325,refute_2_373]) ).
cnf(refute_2_375,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_2_376,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_2_374,refute_2_375]) ).
cnf(refute_2_377,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_2_378,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_2_379,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_2_377,refute_2_378]) ).
cnf(refute_2_380,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_2_294,refute_2_379]) ).
cnf(refute_2_381,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_2_382,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_2_380,refute_2_381]) ).
cnf(refute_2_383,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_2_376,refute_2_382]) ).
cnf(refute_2_384,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_2_367,refute_2_383]) ).
cnf(refute_2_385,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_2_386,plain,
op1(e13,e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_2_384,refute_2_385]) ).
cnf(refute_2_387,plain,
op1(op1(e13,e11),e13) = op1(op1(e13,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e13))]]) ).
cnf(refute_2_388,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) != op1(op1(e13,e11),e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_2_389,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) )],[refute_2_387,refute_2_388]) ).
cnf(refute_2_390,plain,
op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_2_386,refute_2_389]) ).
cnf(refute_2_391,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(op1(e11,e13),e13)
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op1(op1(e13,e11),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_2_392,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e11,e13),e13)) )],[refute_2_390,refute_2_391]) ).
cnf(refute_2_393,plain,
op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_2_317,refute_2_392]) ).
cnf(refute_2_394,plain,
( op1(op1(e13,e11),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_2_395,plain,
( op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e11,op1(e11,e12))) )],[refute_2_393,refute_2_394]) ).
cnf(refute_2_396,plain,
op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) )],[refute_2_366,refute_2_395]) ).
cnf(refute_2_397,plain,
( op1(e11,op1(e11,e12)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e13,op1(e11,e13))))]]) ).
cnf(refute_2_398,plain,
op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e13,op1(e11,e13))) )],[refute_2_396,refute_2_397]) ).
cnf(refute_2_399,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_2_400,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) ),[1,1],$fot(op1(e11,e13))]]) ).
cnf(refute_2_401,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) )],[refute_2_399,refute_2_400]) ).
cnf(refute_2_402,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_2_386,refute_2_401]) ).
cnf(refute_2_403,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op1(e13,op1(e13,e11)))),bind(Y,$fot(op1(e13,op1(e11,e13)))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_2_404,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e11,e13))) )],[refute_2_402,refute_2_403]) ).
cnf(refute_2_405,plain,
op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e11,op1(e11,e12))) )],[refute_2_398,refute_2_404]) ).
cnf(refute_2_406,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_2_407,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e11,op1(e11,e12))) )],[refute_2_405,refute_2_406]) ).
cnf(refute_2_408,plain,
op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e13,op1(e13,e11))) )],[refute_2_365,refute_2_407]) ).
cnf(refute_2_409,plain,
( op1(e11,op1(e12,e11)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_2_410,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) )],[refute_2_408,refute_2_409]) ).
cnf(refute_2_411,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_2_354,refute_2_410]) ).
cnf(refute_2_412,plain,
op1(op1(e11,e12),e11) = op1(op1(e11,e12),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e11))]]) ).
cnf(refute_2_413,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) != op1(op1(e11,e12),e11)
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_2_414,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) )],[refute_2_412,refute_2_413]) ).
cnf(refute_2_415,plain,
op1(op1(e11,e12),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_335,refute_2_414]) ).
cnf(refute_2_416,plain,
( op1(op1(e11,e12),e11) != op1(e10,e11)
| op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_2_417,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e10,e11)) )],[refute_2_415,refute_2_416]) ).
cnf(refute_2_418,plain,
op1(e11,op1(e11,e12)) = op1(e11,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_2_419,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_2_420,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) )],[refute_2_418,refute_2_419]) ).
cnf(refute_2_421,plain,
op1(e11,op1(e11,e12)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_335,refute_2_420]) ).
cnf(refute_2_422,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_2_423,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_2_421,refute_2_422]) ).
cnf(refute_2_424,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e12))) )],[refute_2_417,refute_2_423]) ).
cnf(refute_2_425,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) )],[refute_2_411,refute_2_424]) ).
cnf(refute_2_426,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_2_427,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_2_425,refute_2_426]) ).
cnf(refute_2_428,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e11,op1(e11,e12)) = op1(e10,e11) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e11,e10))),bind(Z,$fot(op1(e10,e11)))]]) ).
cnf(refute_2_429,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,op1(e11,e12)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_2_421,refute_2_428]) ).
cnf(refute_2_430,plain,
op1(e11,op1(e11,e12)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_2_427,refute_2_429]) ).
cnf(refute_2_431,plain,
( op1(e10,op1(e12,e13)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e10,e11)
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_2_432,plain,
( op1(e10,op1(e12,e13)) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e10,e11)) )],[refute_2_430,refute_2_431]) ).
cnf(refute_2_433,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e11,op1(e11,e12))) )],[refute_2_353,refute_2_432]) ).
cnf(refute_2_434,plain,
op1(e10,op1(e12,e13)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_2_317,refute_2_433]) ).
cnf(refute_2_435,plain,
( op1(e10,op1(e12,e13)) != op1(e10,e11)
| op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_2_436,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) )],[refute_2_434,refute_2_435]) ).
cnf(refute_2_437,plain,
op1(op1(e10,e12),e13) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_2_275,refute_2_436]) ).
cnf(refute_2_438,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_2_439,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_2_440,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_2_438,refute_2_439]) ).
cnf(refute_2_441,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_281,refute_2_440]) ).
cnf(refute_2_442,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_2_443,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_2_441,refute_2_442]) ).
cnf(refute_2_444,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_2_288,refute_2_443]) ).
cnf(refute_2_445,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_2_446,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_2_444,refute_2_445]) ).
cnf(refute_2_447,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 ),
inference(canonicalize,[],[normalize_2_47]) ).
cnf(refute_2_448,plain,
op1(e12,e10) != op1(e12,e12),
inference(canonicalize,[],[normalize_2_49]) ).
cnf(refute_2_449,plain,
( op1(e12,e10) != e13
| op1(e12,e12) != e13
| op1(e12,e10) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e10),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_2_450,plain,
( op1(e12,e10) != e13
| op1(e12,e10) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_281,refute_2_449]) ).
cnf(refute_2_451,plain,
op1(e12,e10) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e12)) )],[refute_2_450,refute_2_448]) ).
cnf(refute_2_452,plain,
( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e13) )],[refute_2_447,refute_2_451]) ).
cnf(refute_2_453,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(canonicalize,[],[normalize_2_50]) ).
cnf(refute_2_454,plain,
op1(e12,op1(e11,e12)) = op1(e12,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e12)))]]) ).
cnf(refute_2_455,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_2_456,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_2_454,refute_2_455]) ).
cnf(refute_2_457,plain,
op1(e12,op1(e11,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_335,refute_2_456]) ).
cnf(refute_2_458,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e10)
| op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_2_459,plain,
( op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,e10)) )],[refute_2_457,refute_2_458]) ).
cnf(refute_2_460,plain,
op1(op1(e12,e11),e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) )],[refute_2_453,refute_2_459]) ).
cnf(refute_2_461,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_2_51]) ).
cnf(refute_2_462,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_2_463,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_2_464,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_2_462,refute_2_463]) ).
cnf(refute_2_465,plain,
op1(op1(e12,e12),e13) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_2_281,refute_2_464]) ).
cnf(refute_2_466,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) != op1(e13,e13)
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_2_467,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e13,e13)) )],[refute_2_465,refute_2_466]) ).
cnf(refute_2_468,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_2_461,refute_2_467]) ).
cnf(refute_2_469,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_2_470,plain,
( op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_2_310,refute_2_469]) ).
cnf(refute_2_471,plain,
op1(e11,e12) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) )],[refute_2_468,refute_2_470]) ).
cnf(refute_2_472,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) ),[0],$fot(e10)]]) ).
cnf(refute_2_473,plain,
( op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_335,refute_2_472]) ).
cnf(refute_2_474,plain,
e10 = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) )],[refute_2_471,refute_2_473]) ).
cnf(refute_2_475,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_2_476,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_2_477,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_2_475,refute_2_476]) ).
cnf(refute_2_478,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_446,refute_2_477]) ).
cnf(refute_2_479,plain,
( e10 != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) != op1(e12,e11)
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[0],$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_2_480,plain,
( e10 != op1(e12,op1(e12,e13))
| e10 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_2_478,refute_2_479]) ).
cnf(refute_2_481,plain,
e10 = op1(e12,e11),
inference(resolve,[$cnf( $equal(e10,op1(e12,op1(e12,e13))) )],[refute_2_474,refute_2_480]) ).
cnf(refute_2_482,plain,
( e10 != op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_2_483,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_2_481,refute_2_482]) ).
cnf(refute_2_484,plain,
op1(op1(e12,e11),e12) = op1(op1(e12,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e12))]]) ).
cnf(refute_2_485,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) != op1(op1(e12,e11),e12)
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_2_486,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) )],[refute_2_484,refute_2_485]) ).
cnf(refute_2_487,plain,
op1(op1(e12,e11),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_2_483,refute_2_486]) ).
cnf(refute_2_488,plain,
( op1(op1(e12,e11),e12) != op1(e10,e12)
| op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_489,plain,
( op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e10,e12)) )],[refute_2_487,refute_2_488]) ).
cnf(refute_2_490,plain,
op1(e10,e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) )],[refute_2_460,refute_2_489]) ).
cnf(refute_2_491,plain,
( op1(e10,e12) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e12) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_2_492,plain,
op1(e12,e10) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e10)) )],[refute_2_490,refute_2_491]) ).
cnf(refute_2_493,plain,
( op1(e12,e10) != e10
| op1(e12,e10) != op1(e10,e12)
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e10) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_494,plain,
( op1(e12,e10) != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_2_492,refute_2_493]) ).
cnf(refute_2_495,plain,
( op1(e10,e12) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e10) )],[refute_2_452,refute_2_494]) ).
cnf(refute_2_496,plain,
( op1(e12,e10) != e11
| op1(e12,e10) != op1(e10,e12)
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e11) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_497,plain,
( op1(e12,e10) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_2_492,refute_2_496]) ).
cnf(refute_2_498,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e12,e10) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e11) )],[refute_2_495,refute_2_497]) ).
cnf(refute_2_499,plain,
( op1(e12,e10) != e12
| op1(e12,e10) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_500,plain,
( op1(e12,e10) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_2_492,refute_2_499]) ).
cnf(refute_2_501,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,e10),e12) )],[refute_2_498,refute_2_500]) ).
cnf(refute_2_502,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_2_52]) ).
cnf(refute_2_503,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_2_504,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_2_344,refute_2_503]) ).
cnf(refute_2_505,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_2_384,refute_2_504]) ).
cnf(refute_2_506,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_2_507,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_2_505,refute_2_506]) ).
cnf(refute_2_508,plain,
( op1(e10,e12) != op1(e13,e13)
| op1(e13,e11) != op1(e10,e12)
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_2_509,plain,
( op1(e10,e12) != op1(e13,e13)
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_2_507,refute_2_508]) ).
cnf(refute_2_510,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(e10)]]) ).
cnf(refute_2_511,plain,
( op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_2_335,refute_2_510]) ).
cnf(refute_2_512,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_2_308,refute_2_511]) ).
cnf(refute_2_513,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_2_514,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_2_512,refute_2_513]) ).
cnf(refute_2_515,plain,
( op1(e10,e12) != e10
| op1(e13,e13) != e10
| op1(e10,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_2_516,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_2_514,refute_2_515]) ).
cnf(refute_2_517,plain,
( op1(e10,e12) != e10
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e13)) )],[refute_2_516,refute_2_509]) ).
cnf(refute_2_518,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_2_517,refute_2_502]) ).
cnf(refute_2_519,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_2_501,refute_2_518]) ).
cnf(refute_2_520,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_2_53]) ).
cnf(refute_2_521,plain,
( op1(e10,e12) != e11
| op1(e13,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_2_522,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_2_294,refute_2_521]) ).
cnf(refute_2_523,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_2_522,refute_2_520]) ).
cnf(refute_2_524,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_2_519,refute_2_523]) ).
cnf(refute_2_525,plain,
op1(op1(e10,e12),e13) = op1(op1(e10,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e13))]]) ).
cnf(refute_2_526,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_2_527,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(op1(e10,e12),e13)) )],[refute_2_525,refute_2_526]) ).
cnf(refute_2_528,plain,
op1(op1(e10,e12),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_524,refute_2_527]) ).
cnf(refute_2_529,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) != op1(e12,e13)
| op1(op1(e10,e12),e13) = e11 ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op1(op1(e10,e12),e13))),bind(Y,$fot(op1(e12,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_2_530,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e12,e13)) )],[refute_2_528,refute_2_529]) ).
cnf(refute_2_531,plain,
op1(op1(e10,e12),e13) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_2_446,refute_2_530]) ).
cnf(refute_2_532,plain,
( op1(op1(e10,e12),e13) != e11
| op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) ),[0],$fot(e11)]]) ).
cnf(refute_2_533,plain,
( op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),e11) )],[refute_2_531,refute_2_532]) ).
cnf(refute_2_534,plain,
e11 = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) )],[refute_2_437,refute_2_533]) ).
cnf(refute_2_535,plain,
( e11 != op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e11)))]]) ).
cnf(refute_2_536,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e11)) )],[refute_2_534,refute_2_535]) ).
cnf(refute_2_537,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_2_538,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e11
| h4(op1(e10,e11)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_2_539,plain,
( op1(e10,e11) != e11
| h4(op1(e10,e11)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_2_537,refute_2_538]) ).
cnf(refute_2_540,plain,
h4(op1(e10,e11)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_2_536,refute_2_539]) ).
cnf(refute_2_541,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e11)) != h4(e11)
| h4(op1(e10,e11)) = h2(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_2_542,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e11)) )],[refute_2_540,refute_2_541]) ).
cnf(refute_2_543,plain,
h4(op1(e10,e11)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_2_156,refute_2_542]) ).
cnf(refute_2_544,plain,
( h4(op1(e10,e11)) != h2(e13)
| h4(op1(e10,e11)) != op2(h1(e13),h2(e13))
| h2(e13) = op2(h1(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h2(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_545,plain,
( h4(op1(e10,e11)) != op2(h1(e13),h2(e13))
| h2(e13) = op2(h1(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h2(e13)) )],[refute_2_543,refute_2_544]) ).
cnf(refute_2_546,plain,
h2(e13) = op2(h1(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h1(e13),h2(e13))) )],[refute_2_274,refute_2_545]) ).
cnf(refute_2_547,plain,
( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(canonicalize,[],[normalize_2_55]) ).
cnf(refute_2_548,plain,
( op2(e20,e20) != e20
| op2(e20,e20) != h1(e13)
| h1(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e20) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_549,plain,
( op2(e20,e20) != e20
| h1(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_548]) ).
cnf(refute_2_550,plain,
( h1(e13) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_2_547,refute_2_549]) ).
cnf(refute_2_551,plain,
( op2(e20,e20) != e21
| op2(e20,e20) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_552,plain,
( op2(e20,e20) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_551]) ).
cnf(refute_2_553,plain,
( h1(e13) = e20
| h1(e13) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_2_550,refute_2_552]) ).
cnf(refute_2_554,plain,
( op2(e20,e20) != e22
| op2(e20,e20) != h1(e13)
| h1(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e22) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_555,plain,
( op2(e20,e20) != e22
| h1(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_554]) ).
cnf(refute_2_556,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| op2(e20,e20) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e22) )],[refute_2_553,refute_2_555]) ).
cnf(refute_2_557,plain,
( op2(e20,e20) != e23
| op2(e20,e20) != h1(e13)
| h1(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),e23) ),[0],$fot(h1(e13))]]) ).
cnf(refute_2_558,plain,
( op2(e20,e20) != e23
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_557]) ).
cnf(refute_2_559,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e22
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e23) )],[refute_2_556,refute_2_558]) ).
cnf(refute_2_560,plain,
( h1(e13) != e22
| h2(e13) != op2(h1(e13),h2(e13))
| h2(e13) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),op2(h1(e13),h2(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_2_561,plain,
( h2(e13) != op2(h1(e13),h2(e13))
| h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e13) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),e22) )],[refute_2_559,refute_2_560]) ).
cnf(refute_2_562,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e13) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h1(e13),h2(e13))) )],[refute_2_546,refute_2_561]) ).
cnf(refute_2_563,plain,
op2(op2(e22,e21),e21) = op2(e22,op2(e21,e21)),
inference(canonicalize,[],[normalize_2_56]) ).
cnf(refute_2_564,plain,
op2(e22,op2(e21,e21)) = op2(e22,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e21)))]]) ).
cnf(refute_2_565,plain,
( op2(e21,e21) != h2(e13)
| op2(e22,op2(e21,e21)) != op2(e22,op2(e21,e21))
| op2(e22,op2(e21,e21)) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_566,plain,
( op2(e21,e21) != h2(e13)
| op2(e22,op2(e21,e21)) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,op2(e21,e21))) )],[refute_2_564,refute_2_565]) ).
cnf(refute_2_567,plain,
op2(e22,op2(e21,e21)) = op2(e22,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_566]) ).
cnf(refute_2_568,plain,
( op2(e22,op2(e21,e21)) != op2(e22,h2(e13))
| op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(op2(e22,e21),e21) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) ),[1],$fot(op2(e22,h2(e13)))]]) ).
cnf(refute_2_569,plain,
( op2(op2(e22,e21),e21) != op2(e22,op2(e21,e21))
| op2(op2(e22,e21),e21) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e21)),op2(e22,h2(e13))) )],[refute_2_567,refute_2_568]) ).
cnf(refute_2_570,plain,
op2(op2(e22,e21),e21) = op2(e22,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,op2(e21,e21))) )],[refute_2_563,refute_2_569]) ).
cnf(refute_2_571,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_2_57]) ).
cnf(refute_2_572,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_2_573,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_574,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_2_572,refute_2_573]) ).
cnf(refute_2_575,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_21,refute_2_574]) ).
cnf(refute_2_576,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_2_577,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_2_575,refute_2_576]) ).
cnf(refute_2_578,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_72,refute_2_577]) ).
cnf(refute_2_579,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_2_580,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_2_578,refute_2_579]) ).
cnf(refute_2_581,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_2_571,refute_2_580]) ).
cnf(refute_2_582,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_2_583,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_582]) ).
cnf(refute_2_584,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_2_581,refute_2_583]) ).
cnf(refute_2_585,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_2_586,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_587,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_2_585,refute_2_586]) ).
cnf(refute_2_588,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_21,refute_2_587]) ).
cnf(refute_2_589,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_2_590,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_2_588,refute_2_589]) ).
cnf(refute_2_591,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_2_28,refute_2_590]) ).
cnf(refute_2_592,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_2_593,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_2_591,refute_2_592]) ).
cnf(refute_2_594,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_2_595,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_596,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_2_594,refute_2_595]) ).
cnf(refute_2_597,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_2_593,refute_2_596]) ).
cnf(refute_2_598,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_2_599,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_2_597,refute_2_598]) ).
cnf(refute_2_600,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_2_584,refute_2_599]) ).
cnf(refute_2_601,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_2_602,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_2_600,refute_2_601]) ).
cnf(refute_2_603,plain,
op2(op2(e22,e21),e21) = op2(op2(e22,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e21))]]) ).
cnf(refute_2_604,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e21) != op2(op2(e22,e21),e21)
| op2(op2(e22,e21),e21) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_605,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e21) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(op2(e22,e21),e21)) )],[refute_2_603,refute_2_604]) ).
cnf(refute_2_606,plain,
op2(op2(e22,e21),e21) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_2_602,refute_2_605]) ).
cnf(refute_2_607,plain,
( op2(op2(e22,e21),e21) != op2(e20,e21)
| op2(op2(e22,e21),e21) != op2(e22,h2(e13))
| op2(e20,e21) = op2(e22,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,h2(e13))) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_2_608,plain,
( op2(op2(e22,e21),e21) != op2(e22,h2(e13))
| op2(e20,e21) = op2(e22,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e20,e21)) )],[refute_2_606,refute_2_607]) ).
cnf(refute_2_609,plain,
op2(e20,e21) = op2(e22,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e21),op2(e22,h2(e13))) )],[refute_2_570,refute_2_608]) ).
cnf(refute_2_610,plain,
( op2(e20,e21) != op2(e22,h2(e13))
| op2(e22,h2(e13)) = op2(e20,e21) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op2(e20,e21))),bind(Y,$fot(op2(e22,h2(e13))))]]) ).
cnf(refute_2_611,plain,
op2(e22,h2(e13)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,h2(e13))) )],[refute_2_609,refute_2_610]) ).
cnf(refute_2_612,plain,
( h2(e13) != op2(e22,h2(e13))
| op2(e22,h2(e13)) != op2(e20,e21)
| h2(e13) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e20,e21)) ),[0],$fot(op2(e22,h2(e13)))]]) ).
cnf(refute_2_613,plain,
( h2(e13) != op2(e22,h2(e13))
| h2(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h2(e13)),op2(e20,e21)) )],[refute_2_611,refute_2_612]) ).
cnf(refute_2_614,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23
| h2(e13) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,h2(e13))) )],[refute_2_562,refute_2_613]) ).
cnf(refute_2_615,plain,
op2(e21,e20) != op2(e23,e20),
inference(canonicalize,[],[normalize_2_59]) ).
cnf(refute_2_616,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_2_60]) ).
cnf(refute_2_617,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_2_618,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_619,plain,
( op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_2_617,refute_2_618]) ).
cnf(refute_2_620,plain,
op2(e20,op2(e23,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_2_34,refute_2_619]) ).
cnf(refute_2_621,plain,
( op2(e20,op2(e23,e22)) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_2_622,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,e21)) )],[refute_2_620,refute_2_621]) ).
cnf(refute_2_623,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_2_616,refute_2_622]) ).
cnf(refute_2_624,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(canonicalize,[],[normalize_2_61]) ).
cnf(refute_2_625,plain,
op2(op2(e21,e21),e22) = op2(op2(e21,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e22))]]) ).
cnf(refute_2_626,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) != op2(op2(e21,e21),e22)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_627,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) )],[refute_2_625,refute_2_626]) ).
cnf(refute_2_628,plain,
op2(op2(e21,e21),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_627]) ).
cnf(refute_2_629,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(op2(e21,e21),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) ),[0],$fot(op2(h2(e13),e22))]]) ).
cnf(refute_2_630,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(h2(e13),e22)) )],[refute_2_628,refute_2_629]) ).
cnf(refute_2_631,plain,
op2(h2(e13),e22) = op2(e21,op2(e21,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) )],[refute_2_624,refute_2_630]) ).
cnf(refute_2_632,plain,
op2(e21,op2(e21,e22)) = op2(e21,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e22)))]]) ).
cnf(refute_2_633,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) != op2(e21,op2(e21,e22))
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_2_634,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) )],[refute_2_632,refute_2_633]) ).
cnf(refute_2_635,plain,
op2(e21,op2(e21,e22)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_2_83,refute_2_634]) ).
cnf(refute_2_636,plain,
( op2(e21,op2(e21,e22)) != op2(e21,h4(e13))
| op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_2_637,plain,
( op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,h4(e13))) )],[refute_2_635,refute_2_636]) ).
cnf(refute_2_638,plain,
op2(h2(e13),e22) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) )],[refute_2_631,refute_2_637]) ).
cnf(refute_2_639,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_2_640,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_641,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_2_639,refute_2_640]) ).
cnf(refute_2_642,plain,
op2(e21,h4(e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_641]) ).
cnf(refute_2_643,plain,
( op2(e21,h4(e13)) != op2(e21,e20)
| op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_2_644,plain,
( op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_2_642,refute_2_643]) ).
cnf(refute_2_645,plain,
op2(h2(e13),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) )],[refute_2_638,refute_2_644]) ).
cnf(refute_2_646,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_2_647,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_648,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_2_646,refute_2_647]) ).
cnf(refute_2_649,plain,
op2(op2(e20,e23),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_648]) ).
cnf(refute_2_650,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) != op2(h2(e13),e22)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e20,e23),e22))),bind(Y,$fot(op2(h2(e13),e22))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_2_651,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h2(e13),e22)) )],[refute_2_649,refute_2_650]) ).
cnf(refute_2_652,plain,
op2(op2(e20,e23),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_2_645,refute_2_651]) ).
cnf(refute_2_653,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e21,e20)
| op2(e21,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_2_654,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(e21,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e21,e20)) )],[refute_2_652,refute_2_653]) ).
cnf(refute_2_655,plain,
op2(e21,e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) )],[refute_2_623,refute_2_654]) ).
cnf(refute_2_656,plain,
( op2(e20,e21) != op2(e23,e20)
| op2(e21,e20) != op2(e20,e21)
| op2(e21,e20) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) ),[1],$fot(op2(e23,e20))]]) ).
cnf(refute_2_657,plain,
( op2(e20,e21) != op2(e23,e20)
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_2_655,refute_2_656]) ).
cnf(refute_2_658,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(canonicalize,[],[normalize_2_62]) ).
cnf(refute_2_659,plain,
op2(e23,op2(e21,e22)) = op2(e23,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e22)))]]) ).
cnf(refute_2_660,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) != op2(e23,op2(e21,e22))
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_2_661,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) )],[refute_2_659,refute_2_660]) ).
cnf(refute_2_662,plain,
op2(e23,op2(e21,e22)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_2_83,refute_2_661]) ).
cnf(refute_2_663,plain,
( op2(e23,op2(e21,e22)) != op2(e23,h4(e13))
| op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) ),[1],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_2_664,plain,
( op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,h4(e13))) )],[refute_2_662,refute_2_663]) ).
cnf(refute_2_665,plain,
op2(op2(e23,e21),e22) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) )],[refute_2_658,refute_2_664]) ).
cnf(refute_2_666,plain,
op2(op2(e23,e21),e22) = op2(op2(e23,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e22))]]) ).
cnf(refute_2_667,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) != op2(op2(e23,e21),e22)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_2_668,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) )],[refute_2_666,refute_2_667]) ).
cnf(refute_2_669,plain,
op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_2_200,refute_2_668]) ).
cnf(refute_2_670,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(op2(e21,e23),e22)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e23,e21),e22))),bind(Y,$fot(op2(op2(e21,e23),e22))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_2_671,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e21,e23),e22)) )],[refute_2_669,refute_2_670]) ).
cnf(refute_2_672,plain,
op2(op2(e23,e21),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_2_46,refute_2_671]) ).
cnf(refute_2_673,plain,
( op2(op2(e23,e21),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_674,plain,
( op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),h2(e13)) )],[refute_2_672,refute_2_673]) ).
cnf(refute_2_675,plain,
h2(e13) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) )],[refute_2_665,refute_2_674]) ).
cnf(refute_2_676,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_2_677,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_678,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_2_676,refute_2_677]) ).
cnf(refute_2_679,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_678]) ).
cnf(refute_2_680,plain,
( h2(e13) != op2(e23,h4(e13))
| op2(e23,h4(e13)) != op2(e23,e20)
| h2(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e20)) ),[0],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_2_681,plain,
( h2(e13) != op2(e23,h4(e13))
| h2(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_2_679,refute_2_680]) ).
cnf(refute_2_682,plain,
h2(e13) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e13))) )],[refute_2_675,refute_2_681]) ).
cnf(refute_2_683,plain,
( h2(e13) != op2(e23,e20)
| op2(e23,e20) = h2(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_2_684,plain,
op2(e23,e20) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e20)) )],[refute_2_682,refute_2_683]) ).
cnf(refute_2_685,plain,
( op2(e20,e21) != h2(e13)
| op2(e23,e20) != h2(e13)
| op2(e20,e21) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e23,e20)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_2_686,plain,
( op2(e20,e21) != h2(e13)
| op2(e20,e21) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_2_684,refute_2_685]) ).
cnf(refute_2_687,plain,
( op2(e20,e21) != h2(e13)
| op2(e21,e20) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e23,e20)) )],[refute_2_686,refute_2_657]) ).
cnf(refute_2_688,plain,
op2(e20,e21) != h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e23,e20)) )],[refute_2_687,refute_2_615]) ).
cnf(refute_2_689,plain,
( h2(e13) != op2(e20,e21)
| op2(e20,e21) = h2(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_2_690,plain,
h2(e13) != op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,e21),h2(e13)) )],[refute_2_689,refute_2_688]) ).
cnf(refute_2_691,plain,
( h1(e13) = e20
| h1(e13) = e21
| h1(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e20,e21)) )],[refute_2_614,refute_2_690]) ).
cnf(refute_2_692,plain,
( h1(e13) != e23
| h2(e13) != op2(h1(e13),h2(e13))
| h2(e13) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),op2(h1(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_2_693,plain,
( h2(e13) != op2(h1(e13),h2(e13))
| h1(e13) = e20
| h1(e13) = e21
| h2(e13) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),e23) )],[refute_2_691,refute_2_692]) ).
cnf(refute_2_694,plain,
( h1(e13) = e20
| h1(e13) = e21
| h2(e13) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h1(e13),h2(e13))) )],[refute_2_546,refute_2_693]) ).
cnf(refute_2_695,plain,
( h2(e13) != op2(e23,h2(e13))
| op2(e23,h2(e13)) != h1(e13)
| h2(e13) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_2_696,plain,
( h2(e13) != op2(e23,h2(e13))
| h2(e13) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_2_248,refute_2_695]) ).
cnf(refute_2_697,plain,
( h1(e13) = e20
| h1(e13) = e21
| h2(e13) = h1(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h2(e13))) )],[refute_2_694,refute_2_696]) ).
cnf(refute_2_698,plain,
op2(e20,e20) != op2(e20,e23),
inference(canonicalize,[],[normalize_2_63]) ).
cnf(refute_2_699,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_2_700,plain,
( h1(e13) != op2(e20,e23)
| op2(e20,e20) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_699]) ).
cnf(refute_2_701,plain,
h1(e13) != op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e23)) )],[refute_2_700,refute_2_698]) ).
cnf(refute_2_702,plain,
( h1(e13) != h2(e13)
| op2(e20,e23) != h2(e13)
| h1(e13) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(e20,e23)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_2_703,plain,
( h1(e13) != h2(e13)
| h1(e13) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_702]) ).
cnf(refute_2_704,plain,
h1(e13) != h2(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e23)) )],[refute_2_703,refute_2_701]) ).
cnf(refute_2_705,plain,
( h2(e13) != h1(e13)
| h1(e13) = h2(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_2_706,plain,
h2(e13) != h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),h2(e13)) )],[refute_2_705,refute_2_704]) ).
cnf(refute_2_707,plain,
( h1(e13) = e20
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(h2(e13),h1(e13)) )],[refute_2_697,refute_2_706]) ).
cnf(refute_2_708,plain,
( h1(e13) != e21
| h2(e13) != op2(h1(e13),h2(e13))
| h2(e13) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),op2(h1(e13),h2(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_2_709,plain,
( h2(e13) != op2(h1(e13),h2(e13))
| h1(e13) = e20
| h2(e13) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_2_707,refute_2_708]) ).
cnf(refute_2_710,plain,
( h1(e13) = e20
| h2(e13) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h1(e13),h2(e13))) )],[refute_2_546,refute_2_709]) ).
cnf(refute_2_711,plain,
op2(op2(e21,e20),e23) = op2(e21,op2(e20,e23)),
inference(canonicalize,[],[normalize_2_64]) ).
cnf(refute_2_712,plain,
op2(op2(e20,e21),e23) = op2(e20,op2(e21,e23)),
inference(canonicalize,[],[normalize_2_65]) ).
cnf(refute_2_713,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(canonicalize,[],[normalize_2_66]) ).
cnf(refute_2_714,plain,
op2(op2(e20,e20),e22) = op2(op2(e20,e20),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e22))]]) ).
cnf(refute_2_715,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e22) != op2(op2(e20,e20),e22)
| op2(op2(e20,e20),e22) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e22),op2(op2(e20,e20),e22)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_716,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e22) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(op2(e20,e20),e22)) )],[refute_2_714,refute_2_715]) ).
cnf(refute_2_717,plain,
op2(op2(e20,e20),e22) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_716]) ).
cnf(refute_2_718,plain,
( op2(op2(e20,e20),e22) != op2(e20,op2(e20,e22))
| op2(op2(e20,e20),e22) != op2(h1(e13),e22)
| op2(h1(e13),e22) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e22),op2(e20,op2(e20,e22))) ),[0],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_2_719,plain,
( op2(op2(e20,e20),e22) != op2(e20,op2(e20,e22))
| op2(h1(e13),e22) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(h1(e13),e22)) )],[refute_2_717,refute_2_718]) ).
cnf(refute_2_720,plain,
op2(h1(e13),e22) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(e20,op2(e20,e22))) )],[refute_2_713,refute_2_719]) ).
cnf(refute_2_721,plain,
( op2(h1(e13),e22) != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) = op2(h1(e13),e22) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op2(h1(e13),e22))),bind(Y,$fot(op2(e20,op2(e20,e22))))]]) ).
cnf(refute_2_722,plain,
op2(e20,op2(e20,e22)) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(e20,op2(e20,e22))) )],[refute_2_720,refute_2_721]) ).
cnf(refute_2_723,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_2_724,plain,
( op2(e20,op2(e21,e23)) != op2(e20,op2(e21,e23))
| op2(e21,e23) != op2(e20,e22)
| op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) ),[1,1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_725,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) )],[refute_2_723,refute_2_724]) ).
cnf(refute_2_726,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_2_112,refute_2_725]) ).
cnf(refute_2_727,plain,
( op2(e20,op2(e20,e22)) != op2(h1(e13),e22)
| op2(e20,op2(e21,e23)) != op2(e20,op2(e20,e22))
| op2(e20,op2(e21,e23)) = op2(h1(e13),e22) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e20,op2(e21,e23)))),bind(Y,$fot(op2(e20,op2(e20,e22)))),bind(Z,$fot(op2(h1(e13),e22)))]]) ).
cnf(refute_2_728,plain,
( op2(e20,op2(e20,e22)) != op2(h1(e13),e22)
| op2(e20,op2(e21,e23)) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e20,e22))) )],[refute_2_726,refute_2_727]) ).
cnf(refute_2_729,plain,
op2(e20,op2(e21,e23)) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(h1(e13),e22)) )],[refute_2_722,refute_2_728]) ).
cnf(refute_2_730,plain,
( op2(e20,op2(e21,e23)) != op2(h1(e13),e22)
| op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(op2(e20,e21),e23) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) ),[1],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_2_731,plain,
( op2(op2(e20,e21),e23) != op2(e20,op2(e21,e23))
| op2(op2(e20,e21),e23) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(h1(e13),e22)) )],[refute_2_729,refute_2_730]) ).
cnf(refute_2_732,plain,
op2(op2(e20,e21),e23) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(e20,op2(e21,e23))) )],[refute_2_712,refute_2_731]) ).
cnf(refute_2_733,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(canonicalize,[],[normalize_2_67]) ).
cnf(refute_2_734,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_2_735,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_2_736,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_2_734,refute_2_735]) ).
cnf(refute_2_737,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_2_200,refute_2_736]) ).
cnf(refute_2_738,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) ),[1],$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_2_739,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e21,e23))) )],[refute_2_737,refute_2_738]) ).
cnf(refute_2_740,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) )],[refute_2_733,refute_2_739]) ).
cnf(refute_2_741,plain,
( op2(e20,op2(e21,e23)) != op2(h1(e13),e22)
| op2(op2(e20,e23),e21) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e21,e23))) ),[1],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_2_742,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(h1(e13),e22)) )],[refute_2_729,refute_2_741]) ).
cnf(refute_2_743,plain,
op2(op2(e20,e23),e21) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e21,e23))) )],[refute_2_740,refute_2_742]) ).
cnf(refute_2_744,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_2_68]) ).
cnf(refute_2_745,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_2_746,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_747,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_2_745,refute_2_746]) ).
cnf(refute_2_748,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_747]) ).
cnf(refute_2_749,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| op2(h2(e13),e21) = op2(e21,op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_2_750,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = op2(e21,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_2_748,refute_2_749]) ).
cnf(refute_2_751,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_2_69]) ).
cnf(refute_2_752,plain,
( h2(e11) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = h2(e11) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).
cnf(refute_2_753,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,op2(e21,e21))) )],[refute_2_751,refute_2_752]) ).
cnf(refute_2_754,plain,
( op2(e21,op2(e21,e21)) != h2(e11)
| op2(h2(e13),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(e21,op2(e21,e21))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_2_755,plain,
( op2(h2(e13),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e11)) )],[refute_2_753,refute_2_754]) ).
cnf(refute_2_756,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e21,op2(e21,e21))) )],[refute_2_750,refute_2_755]) ).
cnf(refute_2_757,plain,
op2(h2(e13),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) )],[refute_2_744,refute_2_756]) ).
cnf(refute_2_758,plain,
op2(op2(e20,e23),e21) = op2(op2(e20,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e21))]]) ).
cnf(refute_2_759,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e21) != op2(op2(e20,e23),e21)
| op2(op2(e20,e23),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_2_760,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) )],[refute_2_758,refute_2_759]) ).
cnf(refute_2_761,plain,
op2(op2(e20,e23),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_760]) ).
cnf(refute_2_762,plain,
( op2(h2(e13),e21) != h2(e11)
| op2(op2(e20,e23),e21) != op2(h2(e13),e21)
| op2(op2(e20,e23),e21) = h2(e11) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e20,e23),e21))),bind(Y,$fot(op2(h2(e13),e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_2_763,plain,
( op2(h2(e13),e21) != h2(e11)
| op2(op2(e20,e23),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h2(e13),e21)) )],[refute_2_761,refute_2_762]) ).
cnf(refute_2_764,plain,
op2(op2(e20,e23),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e11)) )],[refute_2_757,refute_2_763]) ).
cnf(refute_2_765,plain,
( op2(op2(e20,e23),e21) != h2(e11)
| op2(op2(e20,e23),e21) != op2(h1(e13),e22)
| h2(e11) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h1(e13),e22)) ),[0],$fot(h2(e11))]]) ).
cnf(refute_2_766,plain,
( op2(op2(e20,e23),e21) != op2(h1(e13),e22)
| h2(e11) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),h2(e11)) )],[refute_2_764,refute_2_765]) ).
cnf(refute_2_767,plain,
h2(e11) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h1(e13),e22)) )],[refute_2_743,refute_2_766]) ).
cnf(refute_2_768,plain,
( h2(e11) != op2(h1(e13),e22)
| op2(h1(e13),e22) = h2(e11) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h1(e13),e22)))]]) ).
cnf(refute_2_769,plain,
op2(h1(e13),e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e13),e22)) )],[refute_2_767,refute_2_768]) ).
cnf(refute_2_770,plain,
( op2(h1(e13),e22) != h2(e11)
| op2(op2(e20,e21),e23) != op2(h1(e13),e22)
| op2(op2(e20,e21),e23) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(h1(e13),e22)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_2_771,plain,
( op2(op2(e20,e21),e23) != op2(h1(e13),e22)
| op2(op2(e20,e21),e23) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),h2(e11)) )],[refute_2_769,refute_2_770]) ).
cnf(refute_2_772,plain,
op2(op2(e20,e21),e23) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(h1(e13),e22)) )],[refute_2_732,refute_2_771]) ).
cnf(refute_2_773,plain,
op2(op2(e21,e20),e23) = op2(op2(e21,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e23))]]) ).
cnf(refute_2_774,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e23) != op2(op2(e21,e20),e23)
| op2(op2(e21,e20),e23) = op2(op2(e20,e21),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e21,e20),e23)) ),[1,0],$fot(op2(e20,e21))]]) ).
cnf(refute_2_775,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e23) = op2(op2(e20,e21),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e21,e20),e23)) )],[refute_2_773,refute_2_774]) ).
cnf(refute_2_776,plain,
op2(op2(e21,e20),e23) = op2(op2(e20,e21),e23),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_2_655,refute_2_775]) ).
cnf(refute_2_777,plain,
( op2(op2(e20,e21),e23) != h2(e11)
| op2(op2(e21,e20),e23) != op2(op2(e20,e21),e23)
| op2(op2(e21,e20),e23) = h2(e11) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e21,e20),e23))),bind(Y,$fot(op2(op2(e20,e21),e23))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_2_778,plain,
( op2(op2(e20,e21),e23) != h2(e11)
| op2(op2(e21,e20),e23) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(op2(e20,e21),e23)) )],[refute_2_776,refute_2_777]) ).
cnf(refute_2_779,plain,
op2(op2(e21,e20),e23) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),h2(e11)) )],[refute_2_772,refute_2_778]) ).
cnf(refute_2_780,plain,
( op2(op2(e21,e20),e23) != h2(e11)
| op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e23),op2(e21,op2(e20,e23))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_2_781,plain,
( op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),h2(e11)) )],[refute_2_779,refute_2_780]) ).
cnf(refute_2_782,plain,
op2(e21,op2(e20,e23)) = op2(e21,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e20,e23)))]]) ).
cnf(refute_2_783,plain,
( op2(e20,e23) != h2(e13)
| op2(e21,op2(e20,e23)) != op2(e21,op2(e20,e23))
| op2(e21,op2(e20,e23)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_784,plain,
( op2(e20,e23) != h2(e13)
| op2(e21,op2(e20,e23)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,op2(e20,e23))) )],[refute_2_782,refute_2_783]) ).
cnf(refute_2_785,plain,
op2(e21,op2(e20,e23)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_784]) ).
cnf(refute_2_786,plain,
( h2(e11) != op2(e21,op2(e20,e23))
| op2(e21,op2(e20,e23)) != op2(e21,h2(e13))
| h2(e11) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e21,h2(e13))) ),[0],$fot(op2(e21,op2(e20,e23)))]]) ).
cnf(refute_2_787,plain,
( h2(e11) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e23)),op2(e21,h2(e13))) )],[refute_2_785,refute_2_786]) ).
cnf(refute_2_788,plain,
( op2(op2(e21,e20),e23) != op2(e21,op2(e20,e23))
| h2(e11) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,op2(e20,e23))) )],[refute_2_781,refute_2_787]) ).
cnf(refute_2_789,plain,
h2(e11) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e23),op2(e21,op2(e20,e23))) )],[refute_2_711,refute_2_788]) ).
cnf(refute_2_790,plain,
( h2(e11) != op2(e21,h2(e13))
| op2(e21,h2(e13)) = h2(e11) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,h2(e13))))]]) ).
cnf(refute_2_791,plain,
op2(e21,h2(e13)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,h2(e13))) )],[refute_2_789,refute_2_790]) ).
cnf(refute_2_792,plain,
( h2(e13) != op2(e21,h2(e13))
| op2(e21,h2(e13)) != h2(e11)
| h2(e13) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h2(e11)) ),[0],$fot(op2(e21,h2(e13)))]]) ).
cnf(refute_2_793,plain,
( h2(e13) != op2(e21,h2(e13))
| h2(e13) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),h2(e11)) )],[refute_2_791,refute_2_792]) ).
cnf(refute_2_794,plain,
( h1(e13) = e20
| h2(e13) = h2(e11) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,h2(e13))) )],[refute_2_710,refute_2_793]) ).
cnf(refute_2_795,plain,
op2(op2(e22,e20),e20) = op2(e22,op2(e20,e20)),
inference(canonicalize,[],[normalize_2_70]) ).
cnf(refute_2_796,plain,
op2(e22,op2(e20,e20)) = op2(e22,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e20,e20)))]]) ).
cnf(refute_2_797,plain,
( op2(e20,e20) != h1(e13)
| op2(e22,op2(e20,e20)) != op2(e22,op2(e20,e20))
| op2(e22,op2(e20,e20)) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e20,e20)),op2(e22,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_2_798,plain,
( op2(e20,e20) != h1(e13)
| op2(e22,op2(e20,e20)) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e20)),op2(e22,op2(e20,e20))) )],[refute_2_796,refute_2_797]) ).
cnf(refute_2_799,plain,
op2(e22,op2(e20,e20)) = op2(e22,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_798]) ).
cnf(refute_2_800,plain,
( op2(e22,op2(e20,e20)) != op2(e22,h1(e13))
| op2(op2(e22,e20),e20) != op2(e22,op2(e20,e20))
| op2(op2(e22,e20),e20) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e20),op2(e22,op2(e20,e20))) ),[1],$fot(op2(e22,h1(e13)))]]) ).
cnf(refute_2_801,plain,
( op2(op2(e22,e20),e20) != op2(e22,op2(e20,e20))
| op2(op2(e22,e20),e20) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e20,e20)),op2(e22,h1(e13))) )],[refute_2_799,refute_2_800]) ).
cnf(refute_2_802,plain,
op2(op2(e22,e20),e20) = op2(e22,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),op2(e22,op2(e20,e20))) )],[refute_2_795,refute_2_801]) ).
cnf(refute_2_803,plain,
op2(op2(e20,e22),e20) = op2(e20,op2(e22,e20)),
inference(canonicalize,[],[normalize_2_71]) ).
cnf(refute_2_804,plain,
op2(op2(e21,e23),e20) = op2(e21,op2(e23,e20)),
inference(canonicalize,[],[normalize_2_72]) ).
cnf(refute_2_805,plain,
op2(op2(e21,e23),e20) = op2(op2(e21,e23),e20),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e20))]]) ).
cnf(refute_2_806,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e20) != op2(op2(e21,e23),e20)
| op2(op2(e21,e23),e20) = op2(op2(e20,e22),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e20),op2(op2(e21,e23),e20)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_2_807,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e20) = op2(op2(e20,e22),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),op2(op2(e21,e23),e20)) )],[refute_2_805,refute_2_806]) ).
cnf(refute_2_808,plain,
op2(op2(e21,e23),e20) = op2(op2(e20,e22),e20),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_2_112,refute_2_807]) ).
cnf(refute_2_809,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(op2(e21,e23),e20) != op2(op2(e20,e22),e20)
| op2(op2(e21,e23),e20) = op2(e20,op2(e22,e20)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e21,e23),e20))),bind(Y,$fot(op2(op2(e20,e22),e20))),bind(Z,$fot(op2(e20,op2(e22,e20))))]]) ).
cnf(refute_2_810,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(op2(e21,e23),e20) = op2(e20,op2(e22,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),op2(op2(e20,e22),e20)) )],[refute_2_808,refute_2_809]) ).
cnf(refute_2_811,plain,
op2(op2(e21,e23),e20) = op2(e20,op2(e22,e20)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(e20,op2(e22,e20))) )],[refute_2_803,refute_2_810]) ).
cnf(refute_2_812,plain,
( op2(op2(e21,e23),e20) != op2(e20,op2(e22,e20))
| op2(op2(e21,e23),e20) != op2(e21,op2(e23,e20))
| op2(e20,op2(e22,e20)) = op2(e21,op2(e23,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e20),op2(e21,op2(e23,e20))) ),[0],$fot(op2(e20,op2(e22,e20)))]]) ).
cnf(refute_2_813,plain,
( op2(op2(e21,e23),e20) != op2(e21,op2(e23,e20))
| op2(e20,op2(e22,e20)) = op2(e21,op2(e23,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),op2(e20,op2(e22,e20))) )],[refute_2_811,refute_2_812]) ).
cnf(refute_2_814,plain,
op2(e20,op2(e22,e20)) = op2(e21,op2(e23,e20)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e20),op2(e21,op2(e23,e20))) )],[refute_2_804,refute_2_813]) ).
cnf(refute_2_815,plain,
op2(e21,op2(e23,e20)) = op2(e21,op2(e23,e20)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e20)))]]) ).
cnf(refute_2_816,plain,
( op2(e21,op2(e23,e20)) != op2(e21,op2(e23,e20))
| op2(e23,e20) != h2(e13)
| op2(e21,op2(e23,e20)) = op2(e21,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e20)),op2(e21,op2(e23,e20))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_2_817,plain,
( op2(e23,e20) != h2(e13)
| op2(e21,op2(e23,e20)) = op2(e21,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e20)),op2(e21,op2(e23,e20))) )],[refute_2_815,refute_2_816]) ).
cnf(refute_2_818,plain,
op2(e21,op2(e23,e20)) = op2(e21,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_2_684,refute_2_817]) ).
cnf(refute_2_819,plain,
( op2(e21,h2(e13)) != h2(e11)
| op2(e21,op2(e23,e20)) != op2(e21,h2(e13))
| op2(e21,op2(e23,e20)) = h2(e11) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e21,op2(e23,e20)))),bind(Y,$fot(op2(e21,h2(e13)))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_2_820,plain,
( op2(e21,h2(e13)) != h2(e11)
| op2(e21,op2(e23,e20)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e20)),op2(e21,h2(e13))) )],[refute_2_818,refute_2_819]) ).
cnf(refute_2_821,plain,
op2(e21,op2(e23,e20)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e21,h2(e13)),h2(e11)) )],[refute_2_791,refute_2_820]) ).
cnf(refute_2_822,plain,
( op2(e20,op2(e22,e20)) != op2(e21,op2(e23,e20))
| op2(e21,op2(e23,e20)) != h2(e11)
| op2(e20,op2(e22,e20)) = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e22,e20)),h2(e11)) ),[0],$fot(op2(e21,op2(e23,e20)))]]) ).
cnf(refute_2_823,plain,
( op2(e20,op2(e22,e20)) != op2(e21,op2(e23,e20))
| op2(e20,op2(e22,e20)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e20)),h2(e11)) )],[refute_2_821,refute_2_822]) ).
cnf(refute_2_824,plain,
op2(e20,op2(e22,e20)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),op2(e21,op2(e23,e20))) )],[refute_2_814,refute_2_823]) ).
cnf(refute_2_825,plain,
( op2(e20,op2(e22,e20)) != h2(e11)
| op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(op2(e20,e22),e20) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e20),op2(e20,op2(e22,e20))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_2_826,plain,
( op2(op2(e20,e22),e20) != op2(e20,op2(e22,e20))
| op2(op2(e20,e22),e20) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e20)),h2(e11)) )],[refute_2_824,refute_2_825]) ).
cnf(refute_2_827,plain,
op2(op2(e20,e22),e20) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),op2(e20,op2(e22,e20))) )],[refute_2_803,refute_2_826]) ).
cnf(refute_2_828,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(canonicalize,[],[normalize_2_73]) ).
cnf(refute_2_829,plain,
op2(e22,op2(e21,e22)) = op2(e22,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e22)))]]) ).
cnf(refute_2_830,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) != op2(e22,op2(e21,e22))
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_2_831,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) )],[refute_2_829,refute_2_830]) ).
cnf(refute_2_832,plain,
op2(e22,op2(e21,e22)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_2_83,refute_2_831]) ).
cnf(refute_2_833,plain,
( op2(e22,op2(e21,e22)) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) ),[1],$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_2_834,plain,
( op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,h4(e13))) )],[refute_2_832,refute_2_833]) ).
cnf(refute_2_835,plain,
op2(op2(e22,e21),e22) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) )],[refute_2_828,refute_2_834]) ).
cnf(refute_2_836,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_2_837,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) != op2(e22,h4(e13))
| op2(e22,h4(e13)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_2_838,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_2_836,refute_2_837]) ).
cnf(refute_2_839,plain,
op2(e22,h4(e13)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_838]) ).
cnf(refute_2_840,plain,
( op2(e22,h4(e13)) != op2(e22,e20)
| op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_2_841,plain,
( op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e20)) )],[refute_2_839,refute_2_840]) ).
cnf(refute_2_842,plain,
op2(op2(e22,e21),e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) )],[refute_2_835,refute_2_841]) ).
cnf(refute_2_843,plain,
op2(op2(e22,e21),e22) = op2(op2(e22,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e22))]]) ).
cnf(refute_2_844,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) != op2(op2(e22,e21),e22)
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_845,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) )],[refute_2_843,refute_2_844]) ).
cnf(refute_2_846,plain,
op2(op2(e22,e21),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_2_602,refute_2_845]) ).
cnf(refute_2_847,plain,
( op2(op2(e22,e21),e22) != op2(e20,e22)
| op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_2_848,plain,
( op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e20,e22)) )],[refute_2_846,refute_2_847]) ).
cnf(refute_2_849,plain,
op2(e20,e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) )],[refute_2_842,refute_2_848]) ).
cnf(refute_2_850,plain,
( op2(e20,e22) != op2(e22,e20)
| op2(e22,e20) = op2(e20,e22) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_2_851,plain,
op2(e22,e20) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e20)) )],[refute_2_849,refute_2_850]) ).
cnf(refute_2_852,plain,
op2(op2(e22,e20),e20) = op2(op2(e22,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e22,e20),e20))]]) ).
cnf(refute_2_853,plain,
( op2(e22,e20) != op2(e20,e22)
| op2(op2(e22,e20),e20) != op2(op2(e22,e20),e20)
| op2(op2(e22,e20),e20) = op2(op2(e20,e22),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e20),op2(op2(e22,e20),e20)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_2_854,plain,
( op2(e22,e20) != op2(e20,e22)
| op2(op2(e22,e20),e20) = op2(op2(e20,e22),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),op2(op2(e22,e20),e20)) )],[refute_2_852,refute_2_853]) ).
cnf(refute_2_855,plain,
op2(op2(e22,e20),e20) = op2(op2(e20,e22),e20),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e20,e22)) )],[refute_2_851,refute_2_854]) ).
cnf(refute_2_856,plain,
( op2(op2(e20,e22),e20) != h2(e11)
| op2(op2(e22,e20),e20) != op2(op2(e20,e22),e20)
| op2(op2(e22,e20),e20) = h2(e11) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e22,e20),e20))),bind(Y,$fot(op2(op2(e20,e22),e20))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_2_857,plain,
( op2(op2(e20,e22),e20) != h2(e11)
| op2(op2(e22,e20),e20) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),op2(op2(e20,e22),e20)) )],[refute_2_855,refute_2_856]) ).
cnf(refute_2_858,plain,
op2(op2(e22,e20),e20) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e20),h2(e11)) )],[refute_2_827,refute_2_857]) ).
cnf(refute_2_859,plain,
( op2(op2(e22,e20),e20) != h2(e11)
| op2(op2(e22,e20),e20) != op2(e22,h1(e13))
| h2(e11) = op2(e22,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e20),e20),op2(e22,h1(e13))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_2_860,plain,
( op2(op2(e22,e20),e20) != op2(e22,h1(e13))
| h2(e11) = op2(e22,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),h2(e11)) )],[refute_2_858,refute_2_859]) ).
cnf(refute_2_861,plain,
h2(e11) = op2(e22,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e20),e20),op2(e22,h1(e13))) )],[refute_2_802,refute_2_860]) ).
cnf(refute_2_862,plain,
( h1(e13) != e21
| h2(e11) != op2(e22,h1(e13))
| h2(e11) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e22,h1(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_2_863,plain,
( h2(e11) != op2(e22,h1(e13))
| h1(e13) = e20
| h2(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_2_707,refute_2_862]) ).
cnf(refute_2_864,plain,
( h1(e13) = e20
| h2(e11) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,h1(e13))) )],[refute_2_861,refute_2_863]) ).
cnf(refute_2_865,plain,
( h2(e11) != op2(e22,e21)
| op2(e22,e21) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e20) ),[0],$fot(op2(e22,e21))]]) ).
cnf(refute_2_866,plain,
( h2(e11) != op2(e22,e21)
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_2_602,refute_2_865]) ).
cnf(refute_2_867,plain,
( h1(e13) = e20
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),op2(e22,e21)) )],[refute_2_864,refute_2_866]) ).
cnf(refute_2_868,plain,
( h2(e11) != e20
| h2(e13) != h2(e11)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),h2(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_2_869,plain,
( h2(e13) != h2(e11)
| h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_2_867,refute_2_868]) ).
cnf(refute_2_870,plain,
( h1(e13) = e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e11)) )],[refute_2_794,refute_2_869]) ).
cnf(refute_2_871,plain,
op2(e23,e20) != op2(e23,e23),
inference(canonicalize,[],[normalize_2_74]) ).
cnf(refute_2_872,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e20),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_873,plain,
( op2(e23,e20) != h4(e13)
| op2(e23,e20) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_2_72,refute_2_872]) ).
cnf(refute_2_874,plain,
op2(e23,e20) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e23)) )],[refute_2_873,refute_2_871]) ).
cnf(refute_2_875,plain,
( h2(e13) != h4(e13)
| op2(e23,e20) != h2(e13)
| op2(e23,e20) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),h2(e13)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_2_876,plain,
( h2(e13) != h4(e13)
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_2_684,refute_2_875]) ).
cnf(refute_2_877,plain,
( h2(e13) != e20
| h4(e13) != e20
| h2(e13) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_2_878,plain,
( h2(e13) != e20
| h2(e13) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_2_103,refute_2_877]) ).
cnf(refute_2_879,plain,
( h2(e13) != e20
| op2(e23,e20) = h4(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),h4(e13)) )],[refute_2_878,refute_2_876]) ).
cnf(refute_2_880,plain,
h2(e13) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e20),h4(e13)) )],[refute_2_879,refute_2_874]) ).
cnf(refute_2_881,plain,
h1(e13) = e20,
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_870,refute_2_880]) ).
cnf(refute_2_882,plain,
op2(h1(e13),e23) = op2(h1(e13),e23),
introduced(tautology,[refl,[$fot(op2(h1(e13),e23))]]) ).
cnf(refute_2_883,plain,
( h1(e13) != e20
| op2(h1(e13),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_884,plain,
( h1(e13) != e20
| op2(h1(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) )],[refute_2_882,refute_2_883]) ).
cnf(refute_2_885,plain,
op2(h1(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_881,refute_2_884]) ).
cnf(refute_2_886,plain,
( op2(e20,e23) != h2(e13)
| op2(h1(e13),e23) != op2(e20,e23)
| op2(h1(e13),e23) = h2(e13) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(h1(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_2_887,plain,
( op2(e20,e23) != h2(e13)
| op2(h1(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,e23)) )],[refute_2_885,refute_2_886]) ).
cnf(refute_2_888,plain,
op2(h1(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_887]) ).
cnf(refute_2_889,plain,
( op2(h1(e13),e23) != h2(e13)
| op2(h1(e13),e23) != op2(e20,h2(e13))
| h2(e13) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_890,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| h2(e13) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),h2(e13)) )],[refute_2_888,refute_2_889]) ).
cnf(refute_2_891,plain,
h2(e13) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_2_129,refute_2_890]) ).
cnf(refute_2_892,plain,
( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(canonicalize,[],[normalize_2_75]) ).
cnf(refute_2_893,plain,
( op2(e21,e21) != e20
| op2(e21,e21) != h2(e13)
| h2(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e20) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_894,plain,
( op2(e21,e21) != e20
| h2(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_893]) ).
cnf(refute_2_895,plain,
( h2(e13) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_2_892,refute_2_894]) ).
cnf(refute_2_896,plain,
( op2(e21,e21) != e21
| op2(e21,e21) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_897,plain,
( op2(e21,e21) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_896]) ).
cnf(refute_2_898,plain,
( h2(e13) = e20
| h2(e13) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e21) )],[refute_2_895,refute_2_897]) ).
cnf(refute_2_899,plain,
( op2(e21,e21) != e22
| op2(e21,e21) != h2(e13)
| h2(e13) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_900,plain,
( op2(e21,e21) != e22
| h2(e13) = e22 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_899]) ).
cnf(refute_2_901,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| op2(e21,e21) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e22) )],[refute_2_898,refute_2_900]) ).
cnf(refute_2_902,plain,
( op2(e21,e21) != e23
| op2(e21,e21) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e21),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_903,plain,
( op2(e21,e21) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_2_17,refute_2_902]) ).
cnf(refute_2_904,plain,
( h2(e13) = e20
| h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e23) )],[refute_2_901,refute_2_903]) ).
cnf(refute_2_905,plain,
( h2(e13) = e21
| h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e20) )],[refute_2_904,refute_2_880]) ).
cnf(refute_2_906,plain,
op2(e23,e20) != op2(e23,e22),
inference(canonicalize,[],[normalize_2_76]) ).
cnf(refute_2_907,plain,
( h2(e13) != op2(e23,e22)
| op2(e23,e20) != h2(e13)
| op2(e23,e20) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e20),h2(e13)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_2_908,plain,
( h2(e13) != op2(e23,e22)
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_2_684,refute_2_907]) ).
cnf(refute_2_909,plain,
( h2(e13) != e21
| op2(e23,e22) != e21
| h2(e13) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_2_910,plain,
( h2(e13) != e21
| h2(e13) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_2_34,refute_2_909]) ).
cnf(refute_2_911,plain,
( h2(e13) != e21
| op2(e23,e20) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e22)) )],[refute_2_910,refute_2_908]) ).
cnf(refute_2_912,plain,
h2(e13) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e20),op2(e23,e22)) )],[refute_2_911,refute_2_906]) ).
cnf(refute_2_913,plain,
( h2(e13) = e22
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_2_905,refute_2_912]) ).
cnf(refute_2_914,plain,
h4(op1(e10,e12)) != op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_2_77]) ).
cnf(refute_2_915,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_2_78]) ).
cnf(refute_2_916,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_2_917,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_2_918,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_2_916,refute_2_917]) ).
cnf(refute_2_919,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_2_915,refute_2_918]) ).
cnf(refute_2_920,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_2_921,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_2_922,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_2_920,refute_2_921]) ).
cnf(refute_2_923,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_2_264,refute_2_922]) ).
cnf(refute_2_924,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_2_925,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_2_923,refute_2_924]) ).
cnf(refute_2_926,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_2_919,refute_2_925]) ).
cnf(refute_2_927,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),e23))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_2_928,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_2_926,refute_2_927]) ).
cnf(refute_2_929,plain,
op2(h4(e10),h4(e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_2_129,refute_2_928]) ).
cnf(refute_2_930,plain,
( h4(op1(e10,e12)) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_2_931,plain,
( h4(op1(e10,e12)) != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h2(e13))) )],[refute_2_929,refute_2_930]) ).
cnf(refute_2_932,plain,
h4(op1(e10,e12)) != op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_2_931,refute_2_914]) ).
cnf(refute_2_933,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_2_934,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_2_935,plain,
( op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_2_933,refute_2_934]) ).
cnf(refute_2_936,plain,
h4(op1(e10,e12)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_2_524,refute_2_935]) ).
cnf(refute_2_937,plain,
( h4(e12) != e23
| h4(op1(e10,e12)) != h4(e12)
| h4(op1(e10,e12)) = e23 ),
inference(subst,[],[refute_2_40:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_2_938,plain,
( h4(e12) != e23
| h4(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e12)) )],[refute_2_936,refute_2_937]) ).
cnf(refute_2_939,plain,
h4(op1(e10,e12)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_2_915,refute_2_938]) ).
cnf(refute_2_940,plain,
( e23 != op2(e20,h2(e13))
| h4(op1(e10,e12)) != e23
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),e23) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_2_941,plain,
( e23 != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e23) )],[refute_2_939,refute_2_940]) ).
cnf(refute_2_942,plain,
e23 != op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) )],[refute_2_941,refute_2_932]) ).
cnf(refute_2_943,plain,
( h2(e13) != op2(e20,h2(e13))
| op2(e20,h2(e13)) = h2(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_2_944,plain,
op2(e20,h2(e13)) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e20,h2(e13))) )],[refute_2_891,refute_2_943]) ).
cnf(refute_2_945,plain,
( e23 != h2(e13)
| op2(e20,h2(e13)) != h2(e13)
| e23 = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(e20,h2(e13))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_2_946,plain,
( e23 != h2(e13)
| e23 = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),h2(e13)) )],[refute_2_944,refute_2_945]) ).
cnf(refute_2_947,plain,
e23 != h2(e13),
inference(resolve,[$cnf( $equal(e23,op2(e20,h2(e13))) )],[refute_2_946,refute_2_942]) ).
cnf(refute_2_948,plain,
( h2(e13) != e23
| e23 = h2(e13) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(e23))]]) ).
cnf(refute_2_949,plain,
h2(e13) != e23,
inference(resolve,[$cnf( $equal(e23,h2(e13)) )],[refute_2_948,refute_2_947]) ).
cnf(refute_2_950,plain,
h2(e13) = e22,
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_2_913,refute_2_949]) ).
cnf(refute_2_951,plain,
( h2(e13) != e22
| h2(e13) != op2(e20,h2(e13))
| e22 = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),op2(e20,h2(e13))) ),[0],$fot(e22)]]) ).
cnf(refute_2_952,plain,
( h2(e13) != op2(e20,h2(e13))
| e22 = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_950,refute_2_951]) ).
cnf(refute_2_953,plain,
op2(h1(e13),e22) = op2(h1(e13),e22),
introduced(tautology,[refl,[$fot(op2(h1(e13),e22))]]) ).
cnf(refute_2_954,plain,
( h1(e13) != e20
| op2(h1(e13),e22) != op2(h1(e13),e22)
| op2(h1(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e22),op2(h1(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_2_955,plain,
( h1(e13) != e20
| op2(h1(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(h1(e13),e22)) )],[refute_2_953,refute_2_954]) ).
cnf(refute_2_956,plain,
op2(h1(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_881,refute_2_955]) ).
cnf(refute_2_957,plain,
( h2(e11) != op2(h1(e13),e22)
| op2(h1(e13),e22) != op2(e20,e22)
| h2(e11) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),op2(e20,e22)) ),[0],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_2_958,plain,
( h2(e11) != op2(h1(e13),e22)
| h2(e11) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(e20,e22)) )],[refute_2_956,refute_2_957]) ).
cnf(refute_2_959,plain,
h2(e11) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e13),e22)) )],[refute_2_767,refute_2_958]) ).
cnf(refute_2_960,plain,
( h2(e11) != op2(e20,e22)
| op2(e20,e22) = h2(e11) ),
inference(subst,[],[refute_2_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e20,e22)))]]) ).
cnf(refute_2_961,plain,
op2(e20,e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,e22)) )],[refute_2_959,refute_2_960]) ).
cnf(refute_2_962,plain,
op2(e20,h2(e13)) = op2(e20,h2(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_2_963,plain,
( h2(e13) != e22
| op2(e20,h2(e13)) != op2(e20,h2(e13))
| op2(e20,h2(e13)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_964,plain,
( h2(e13) != e22
| op2(e20,h2(e13)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,h2(e13))) )],[refute_2_962,refute_2_963]) ).
cnf(refute_2_965,plain,
op2(e20,h2(e13)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_950,refute_2_964]) ).
cnf(refute_2_966,plain,
( op2(e20,e22) != h2(e11)
| op2(e20,h2(e13)) != op2(e20,e22)
| op2(e20,h2(e13)) = h2(e11) ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(e20,h2(e13)))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_2_967,plain,
( op2(e20,e22) != h2(e11)
| op2(e20,h2(e13)) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e20,e22)) )],[refute_2_965,refute_2_966]) ).
cnf(refute_2_968,plain,
op2(e20,h2(e13)) = h2(e11),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_2_961,refute_2_967]) ).
cnf(refute_2_969,plain,
( e22 != op2(e20,h2(e13))
| op2(e20,h2(e13)) != h2(e11)
| e22 = h2(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,h2(e11)) ),[0],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_2_970,plain,
( e22 != op2(e20,h2(e13))
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),h2(e11)) )],[refute_2_968,refute_2_969]) ).
cnf(refute_2_971,plain,
( h2(e13) != op2(e20,h2(e13))
| e22 = h2(e11) ),
inference(resolve,[$cnf( $equal(e22,op2(e20,h2(e13))) )],[refute_2_952,refute_2_970]) ).
cnf(refute_2_972,plain,
e22 = h2(e11),
inference(resolve,[$cnf( $equal(h2(e13),op2(e20,h2(e13))) )],[refute_2_891,refute_2_971]) ).
cnf(refute_2_973,plain,
( e22 != h2(e11)
| h2(e11) = e22 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e22)),bind(Y,$fot(h2(e11)))]]) ).
cnf(refute_2_974,plain,
h2(e11) = e22,
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_2_972,refute_2_973]) ).
cnf(refute_2_975,plain,
( h2(e11) != e22
| op2(op2(e20,e21),e23) != h2(e11)
| op2(op2(e20,e21),e23) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),h2(e11)) ),[1],$fot(e22)]]) ).
cnf(refute_2_976,plain,
( op2(op2(e20,e21),e23) != h2(e11)
| op2(op2(e20,e21),e23) = e22 ),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_2_974,refute_2_975]) ).
cnf(refute_2_977,plain,
op2(op2(e20,e21),e23) = e22,
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),h2(e11)) )],[refute_2_772,refute_2_976]) ).
cnf(refute_2_978,plain,
op2(op2(e20,e21),e22) = op2(e20,op2(e21,e22)),
inference(canonicalize,[],[normalize_2_79]) ).
cnf(refute_2_979,plain,
op2(e20,op2(e21,e22)) = op2(e20,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e22)))]]) ).
cnf(refute_2_980,plain,
( op2(e20,op2(e21,e22)) != op2(e20,op2(e21,e22))
| op2(e21,e22) != h4(e13)
| op2(e20,op2(e21,e22)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_2_981,plain,
( op2(e21,e22) != h4(e13)
| op2(e20,op2(e21,e22)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,op2(e21,e22))) )],[refute_2_979,refute_2_980]) ).
cnf(refute_2_982,plain,
op2(e20,op2(e21,e22)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_2_83,refute_2_981]) ).
cnf(refute_2_983,plain,
( op2(e20,op2(e21,e22)) != op2(e20,h4(e13))
| op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(op2(e20,e21),e22) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_2_984,plain,
( op2(op2(e20,e21),e22) != op2(e20,op2(e21,e22))
| op2(op2(e20,e21),e22) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e22)),op2(e20,h4(e13))) )],[refute_2_982,refute_2_983]) ).
cnf(refute_2_985,plain,
op2(op2(e20,e21),e22) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,op2(e21,e22))) )],[refute_2_978,refute_2_984]) ).
cnf(refute_2_986,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e21),e22) != op2(e20,h4(e13))
| op2(op2(e20,e21),e22) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_2_987,plain,
( op2(op2(e20,e21),e22) != op2(e20,h4(e13))
| op2(op2(e20,e21),e22) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_2_235,refute_2_986]) ).
cnf(refute_2_988,plain,
op2(op2(e20,e21),e22) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),op2(e20,h4(e13))) )],[refute_2_985,refute_2_987]) ).
cnf(refute_2_989,plain,
( h1(e13) != e20
| op2(op2(e20,e21),e22) != h1(e13)
| op2(op2(e20,e21),e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e22),h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_2_990,plain,
( op2(op2(e20,e21),e22) != h1(e13)
| op2(op2(e20,e21),e22) = e20 ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_881,refute_2_989]) ).
cnf(refute_2_991,plain,
op2(op2(e20,e21),e22) = e20,
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),h1(e13)) )],[refute_2_988,refute_2_990]) ).
cnf(refute_2_992,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e20,e22),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_2_993,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e20,e22),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_2_122,refute_2_992]) ).
cnf(refute_2_994,plain,
op2(op2(e20,e22),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_2_54,refute_2_993]) ).
cnf(refute_2_995,plain,
op2(op2(e20,e22),e22) = op2(op2(e20,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e22))]]) ).
cnf(refute_2_996,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_2_997,plain,
( op2(e20,e22) != h2(e11)
| op2(op2(e20,e22),e22) = op2(h2(e11),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(op2(e20,e22),e22)) )],[refute_2_995,refute_2_996]) ).
cnf(refute_2_998,plain,
op2(op2(e20,e22),e22) = op2(h2(e11),e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_2_961,refute_2_997]) ).
cnf(refute_2_999,plain,
( op2(op2(e20,e22),e22) != h2(e13)
| op2(op2(e20,e22),e22) != op2(h2(e11),e22)
| op2(h2(e11),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),h2(e13)) ),[0],$fot(op2(h2(e11),e22))]]) ).
cnf(refute_2_1000,plain,
( op2(op2(e20,e22),e22) != h2(e13)
| op2(h2(e11),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(h2(e11),e22)) )],[refute_2_998,refute_2_999]) ).
cnf(refute_2_1001,plain,
op2(h2(e11),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),h2(e13)) )],[refute_2_994,refute_2_1000]) ).
cnf(refute_2_1002,plain,
op2(h2(e11),e22) = op2(h2(e11),e22),
introduced(tautology,[refl,[$fot(op2(h2(e11),e22))]]) ).
cnf(refute_2_1003,plain,
( h2(e11) != e22
| op2(h2(e11),e22) != op2(h2(e11),e22)
| op2(h2(e11),e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),op2(h2(e11),e22)) ),[1,0],$fot(e22)]]) ).
cnf(refute_2_1004,plain,
( h2(e11) != e22
| op2(h2(e11),e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),op2(h2(e11),e22)) )],[refute_2_1002,refute_2_1003]) ).
cnf(refute_2_1005,plain,
op2(h2(e11),e22) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h2(e11),e22) )],[refute_2_974,refute_2_1004]) ).
cnf(refute_2_1006,plain,
( op2(e22,e22) != e23
| op2(h2(e11),e22) != op2(e22,e22)
| op2(h2(e11),e22) = e23 ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(h2(e11),e22))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_2_1007,plain,
( op2(e22,e22) != e23
| op2(h2(e11),e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),op2(e22,e22)) )],[refute_2_1005,refute_2_1006]) ).
cnf(refute_2_1008,plain,
op2(h2(e11),e22) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_2_21,refute_2_1007]) ).
cnf(refute_2_1009,plain,
( op2(h2(e11),e22) != e23
| op2(h2(e11),e22) != h2(e13)
| e23 = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e11),e22),h2(e13)) ),[0],$fot(e23)]]) ).
cnf(refute_2_1010,plain,
( op2(h2(e11),e22) != h2(e13)
| e23 = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),e23) )],[refute_2_1008,refute_2_1009]) ).
cnf(refute_2_1011,plain,
( e23 != h2(e13)
| h2(e13) != e22
| e23 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,e22) ),[0],$fot(h2(e13))]]) ).
cnf(refute_2_1012,plain,
( e23 != h2(e13)
| e23 = e22 ),
inference(resolve,[$cnf( $equal(h2(e13),e22) )],[refute_2_950,refute_2_1011]) ).
cnf(refute_2_1013,plain,
( op2(h2(e11),e22) != h2(e13)
| e23 = e22 ),
inference(resolve,[$cnf( $equal(e23,h2(e13)) )],[refute_2_1010,refute_2_1012]) ).
cnf(refute_2_1014,plain,
e23 = e22,
inference(resolve,[$cnf( $equal(op2(h2(e11),e22),h2(e13)) )],[refute_2_1001,refute_2_1013]) ).
cnf(refute_2_1015,plain,
op2(op2(e20,e21),e23) = op2(op2(e20,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e21),e23))]]) ).
cnf(refute_2_1016,plain,
( e23 != e22
| op2(op2(e20,e21),e23) != op2(op2(e20,e21),e23)
| op2(op2(e20,e21),e23) = op2(op2(e20,e21),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),op2(op2(e20,e21),e23)) ),[1,1],$fot(e22)]]) ).
cnf(refute_2_1017,plain,
( e23 != e22
| op2(op2(e20,e21),e23) = op2(op2(e20,e21),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(op2(e20,e21),e23)) )],[refute_2_1015,refute_2_1016]) ).
cnf(refute_2_1018,plain,
op2(op2(e20,e21),e23) = op2(op2(e20,e21),e22),
inference(resolve,[$cnf( $equal(e23,e22) )],[refute_2_1014,refute_2_1017]) ).
cnf(refute_2_1019,plain,
( op2(op2(e20,e21),e22) != e20
| op2(op2(e20,e21),e23) != op2(op2(e20,e21),e22)
| op2(op2(e20,e21),e23) = e20 ),
inference(subst,[],[refute_2_40:[bind(X,$fot(op2(op2(e20,e21),e23))),bind(Y,$fot(op2(op2(e20,e21),e22))),bind(Z,$fot(e20))]]) ).
cnf(refute_2_1020,plain,
( op2(op2(e20,e21),e22) != e20
| op2(op2(e20,e21),e23) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),op2(op2(e20,e21),e22)) )],[refute_2_1018,refute_2_1019]) ).
cnf(refute_2_1021,plain,
op2(op2(e20,e21),e23) = e20,
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e22),e20) )],[refute_2_991,refute_2_1020]) ).
cnf(refute_2_1022,plain,
( op2(op2(e20,e21),e23) != e20
| op2(op2(e20,e21),e23) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e23),e22) ),[0],$fot(e20)]]) ).
cnf(refute_2_1023,plain,
( op2(op2(e20,e21),e23) != e22
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),e20) )],[refute_2_1021,refute_2_1022]) ).
cnf(refute_2_1024,plain,
e20 = e22,
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e23),e22) )],[refute_2_977,refute_2_1023]) ).
cnf(refute_2_1025,plain,
( e20 != e22
| e22 = e20 ),
inference(subst,[],[refute_2_4:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).
cnf(refute_2_1026,plain,
e22 = e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_2_1024,refute_2_1025]) ).
cnf(refute_2_1027,plain,
( e22 != e20
| e22 != h2(e11)
| e20 = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(e22,h2(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_2_1028,plain,
( e22 != h2(e11)
| e20 = h2(e11) ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_2_1026,refute_2_1027]) ).
cnf(refute_2_1029,plain,
e20 = h2(e11),
inference(resolve,[$cnf( $equal(e22,h2(e11)) )],[refute_2_972,refute_2_1028]) ).
cnf(refute_2_1030,plain,
op2(e20,e20) != op2(e20,e22),
inference(canonicalize,[],[normalize_2_80]) ).
cnf(refute_2_1031,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e20),h1(e13)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_1032,plain,
( h1(e13) != op2(e20,e22)
| op2(e20,e20) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_2_6,refute_2_1031]) ).
cnf(refute_2_1033,plain,
h1(e13) != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),op2(e20,e22)) )],[refute_2_1032,refute_2_1030]) ).
cnf(refute_2_1034,plain,
( e20 != op2(e20,e22)
| h1(e13) != e20
| h1(e13) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),e20) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_2_1035,plain,
( e20 != op2(e20,e22)
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_2_881,refute_2_1034]) ).
cnf(refute_2_1036,plain,
( e20 != h2(e11)
| op2(e20,e22) != h2(e11)
| e20 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e20,e22)) ),[1],$fot(h2(e11))]]) ).
cnf(refute_2_1037,plain,
( e20 != h2(e11)
| e20 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h2(e11)) )],[refute_2_961,refute_2_1036]) ).
cnf(refute_2_1038,plain,
( e20 != h2(e11)
| h1(e13) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_2_1037,refute_2_1035]) ).
cnf(refute_2_1039,plain,
e20 != h2(e11),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e22)) )],[refute_2_1038,refute_2_1033]) ).
cnf(refute_2_1040,plain,
$false,
inference(resolve,[$cnf( $equal(e20,h2(e11)) )],[refute_2_1029,refute_2_1039]) ).
fof(negate_3_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) )
=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(negate,[],[subgoal_3]) ).
fof(normalize_3_0,plain,
( op2(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_1,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_2,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_3_3,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_4,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_5,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_6,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_7,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_8,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_3_9,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_10,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_11,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_12,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_3_13,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_14,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_15,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_16,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_17,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_3_18,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_19,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_20,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_3_12]) ).
fof(normalize_3_21,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_22,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_23,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_24,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_25,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_26,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_3_25]) ).
fof(normalize_3_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_3_28,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_29,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_30,plain,
op2(e23,e21) != op2(e23,e22),
inference(conjunct,[],[normalize_3_27]) ).
fof(normalize_3_31,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_3_0]) ).
fof(normalize_3_32,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_3_2]) ).
fof(normalize_3_33,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_3_8]) ).
fof(normalize_3_34,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_3_35,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_3_34]) ).
fof(normalize_3_36,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_3_31,normalize_3_32,normalize_3_33,normalize_3_35]) ).
fof(normalize_3_37,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_3_36]) ).
fof(normalize_3_38,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_39,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_3_0]) ).
fof(normalize_3_40,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_3_17]) ).
fof(normalize_3_41,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_42,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(conjunct,[],[normalize_3_41]) ).
fof(normalize_3_43,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_3_44,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_3_43]) ).
fof(normalize_3_45,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_46,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_3_45]) ).
fof(normalize_3_47,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_48,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_3_47]) ).
fof(normalize_3_49,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_3_47]) ).
fof(normalize_3_50,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_3_41]) ).
fof(normalize_3_51,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_3_41]) ).
fof(normalize_3_52,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_3_41]) ).
fof(normalize_3_53,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_3_41]) ).
fof(normalize_3_54,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_3_43]) ).
fof(normalize_3_55,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_3_43]) ).
fof(normalize_3_56,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_3_47]) ).
cnf(refute_3_0,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_3_1]) ).
cnf(refute_3_1,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_3_3]) ).
cnf(refute_3_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_3_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_3_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_3_2,refute_3_3]) ).
cnf(refute_3_5,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_3_6,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_3_1,refute_3_5]) ).
cnf(refute_3_7,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_3_8,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_3_9,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_3_7,refute_3_8]) ).
cnf(refute_3_10,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_9]) ).
cnf(refute_3_11,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_3_12,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_3_10,refute_3_11]) ).
cnf(refute_3_13,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_3_4]) ).
cnf(refute_3_14,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e11) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_3_15,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_3_13,refute_3_14]) ).
cnf(refute_3_16,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_3_17,plain,
( op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_3_15,refute_3_16]) ).
cnf(refute_3_18,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) )],[refute_3_12,refute_3_17]) ).
cnf(refute_3_19,plain,
op2(h1(e13),e20) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) )],[refute_3_0,refute_3_18]) ).
cnf(refute_3_20,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(canonicalize,[],[normalize_3_5]) ).
cnf(refute_3_21,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_3_6]) ).
cnf(refute_3_22,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_3_7]) ).
cnf(refute_3_23,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_3_9]) ).
cnf(refute_3_24,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_3_25,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_3_23,refute_3_24]) ).
cnf(refute_3_26,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_3_27,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_3_28,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_3_26,refute_3_27]) ).
cnf(refute_3_29,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_25,refute_3_28]) ).
cnf(refute_3_30,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_3_31,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_3_29,refute_3_30]) ).
cnf(refute_3_32,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_3_22,refute_3_31]) ).
cnf(refute_3_33,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_3_34,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_3_32,refute_3_33]) ).
cnf(refute_3_35,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_3_10]) ).
cnf(refute_3_36,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_3_11]) ).
cnf(refute_3_37,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_3_13]) ).
cnf(refute_3_38,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_3_39,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_3_37,refute_3_38]) ).
cnf(refute_3_40,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_3_41,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_42,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_3_40,refute_3_41]) ).
cnf(refute_3_43,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_39,refute_3_42]) ).
cnf(refute_3_44,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_3_45,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_3_43,refute_3_44]) ).
cnf(refute_3_46,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_3_36,refute_3_45]) ).
cnf(refute_3_47,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_3_14]) ).
cnf(refute_3_48,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_3_15]) ).
cnf(refute_3_49,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_3_50,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_51,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_3_49,refute_3_50]) ).
cnf(refute_3_52,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_39,refute_3_51]) ).
cnf(refute_3_53,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_3_54,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_3_52,refute_3_53]) ).
cnf(refute_3_55,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_3_16]) ).
cnf(refute_3_56,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_3_57,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_3_55,refute_3_56]) ).
cnf(refute_3_58,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_3_59,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_3_57,refute_3_58]) ).
cnf(refute_3_60,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_3_54,refute_3_59]) ).
cnf(refute_3_61,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_3_48,refute_3_60]) ).
cnf(refute_3_62,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_3_63,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_64,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_3_62,refute_3_63]) ).
cnf(refute_3_65,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_3_61,refute_3_64]) ).
cnf(refute_3_66,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_3_67,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_3_65,refute_3_66]) ).
cnf(refute_3_68,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_3_18]) ).
cnf(refute_3_69,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_3_70,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_3_68,refute_3_69]) ).
cnf(refute_3_71,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_3_72,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_73,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_3_71,refute_3_72]) ).
cnf(refute_3_74,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_39,refute_3_73]) ).
cnf(refute_3_75,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_3_76,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_3_4,refute_3_75]) ).
cnf(refute_3_77,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_3_78,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_3_74,refute_3_77]) ).
cnf(refute_3_79,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_70,refute_3_78]) ).
cnf(refute_3_80,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_3_81,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_3_79,refute_3_80]) ).
cnf(refute_3_82,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_3_67,refute_3_81]) ).
cnf(refute_3_83,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_3_47,refute_3_82]) ).
cnf(refute_3_84,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_3_85,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_3_86,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_3_84,refute_3_85]) ).
cnf(refute_3_87,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_3_83,refute_3_86]) ).
cnf(refute_3_88,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_3_89,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_3_87,refute_3_88]) ).
cnf(refute_3_90,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_3_46,refute_3_89]) ).
cnf(refute_3_91,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_3_92,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_3_93,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_3_91,refute_3_92]) ).
cnf(refute_3_94,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_70,refute_3_93]) ).
cnf(refute_3_95,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_3_96,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_3_94,refute_3_95]) ).
cnf(refute_3_97,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_3_90,refute_3_96]) ).
cnf(refute_3_98,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_3_99,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_3_97,refute_3_98]) ).
cnf(refute_3_100,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_3_101,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_102,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_3_100,refute_3_101]) ).
cnf(refute_3_103,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_3_61,refute_3_102]) ).
cnf(refute_3_104,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_3_105,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_3_103,refute_3_104]) ).
cnf(refute_3_106,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_3_99,refute_3_105]) ).
cnf(refute_3_107,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_3_35,refute_3_106]) ).
cnf(refute_3_108,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_3_109,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_3_107,refute_3_108]) ).
cnf(refute_3_110,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_3_111,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_3_112,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_3_110,refute_3_111]) ).
cnf(refute_3_113,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_3_109,refute_3_112]) ).
cnf(refute_3_114,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_3_115,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_3_113,refute_3_114]) ).
cnf(refute_3_116,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_3_34,refute_3_115]) ).
cnf(refute_3_117,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_3_118,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_3_116,refute_3_117]) ).
cnf(refute_3_119,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_3_21,refute_3_118]) ).
cnf(refute_3_120,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_3_19]) ).
cnf(refute_3_121,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_3_122,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_3_123,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_3_121,refute_3_122]) ).
cnf(refute_3_124,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_25,refute_3_123]) ).
cnf(refute_3_125,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_3_126,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_3_124,refute_3_125]) ).
cnf(refute_3_127,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_3_120,refute_3_126]) ).
cnf(refute_3_128,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_3_129,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_3_130,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_3_128,refute_3_129]) ).
cnf(refute_3_131,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_3_109,refute_3_130]) ).
cnf(refute_3_132,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_3_133,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_3_131,refute_3_132]) ).
cnf(refute_3_134,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_3_119,refute_3_133]) ).
cnf(refute_3_135,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_3_136,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_3_134,refute_3_135]) ).
cnf(refute_3_137,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_3_127,refute_3_136]) ).
cnf(refute_3_138,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_3_139,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_3_137,refute_3_138]) ).
cnf(refute_3_140,plain,
op2(op2(e21,e23),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_3_119,refute_3_139]) ).
cnf(refute_3_141,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_3_20]) ).
cnf(refute_3_142,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_3_143,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_3_144,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_3_142,refute_3_143]) ).
cnf(refute_3_145,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_3_57,refute_3_144]) ).
cnf(refute_3_146,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_3_147,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_3_145,refute_3_146]) ).
cnf(refute_3_148,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_3_83,refute_3_147]) ).
cnf(refute_3_149,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_3_150,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_3_148,refute_3_149]) ).
cnf(refute_3_151,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_3_141,refute_3_150]) ).
cnf(refute_3_152,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_3_153,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_3_151,refute_3_152]) ).
cnf(refute_3_154,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_3_155,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_156,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_3_154,refute_3_155]) ).
cnf(refute_3_157,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_153,refute_3_156]) ).
cnf(refute_3_158,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_3_159,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_3_157,refute_3_158]) ).
cnf(refute_3_160,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_3_90,refute_3_159]) ).
cnf(refute_3_161,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_3_162,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_3_160,refute_3_161]) ).
cnf(refute_3_163,plain,
op2(op2(e21,e23),e21) = op2(op2(e21,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e21))]]) ).
cnf(refute_3_164,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) != op2(op2(e21,e23),e21)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_3_165,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) )],[refute_3_163,refute_3_164]) ).
cnf(refute_3_166,plain,
op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_3_162,refute_3_165]) ).
cnf(refute_3_167,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(op2(e20,e22),e21)
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e21,e23),e21))),bind(Y,$fot(op2(op2(e20,e22),e21))),bind(Z,$fot(op2(e20,op2(e22,e21))))]]) ).
cnf(refute_3_168,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e20,e22),e21)) )],[refute_3_166,refute_3_167]) ).
cnf(refute_3_169,plain,
op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_3_20,refute_3_168]) ).
cnf(refute_3_170,plain,
( op2(op2(e21,e23),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) ),[0],$fot(op2(e20,op2(e22,e21)))]]) ).
cnf(refute_3_171,plain,
( op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e20,op2(e22,e21))) )],[refute_3_169,refute_3_170]) ).
cnf(refute_3_172,plain,
op2(e20,op2(e22,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) )],[refute_3_140,refute_3_171]) ).
cnf(refute_3_173,plain,
( op2(e20,op2(e22,e21)) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_3_174,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e21)),op2(e23,h2(e13))) )],[refute_3_172,refute_3_173]) ).
cnf(refute_3_175,plain,
op2(op2(e20,e22),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_3_20,refute_3_174]) ).
cnf(refute_3_176,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_21]) ).
cnf(refute_3_177,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_3_178,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_3_179,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_3_177,refute_3_178]) ).
cnf(refute_3_180,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_70,refute_3_179]) ).
cnf(refute_3_181,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_3_182,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_3_180,refute_3_181]) ).
cnf(refute_3_183,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_3_176,refute_3_182]) ).
cnf(refute_3_184,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_3_185,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_186,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_3_184,refute_3_185]) ).
cnf(refute_3_187,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_153,refute_3_186]) ).
cnf(refute_3_188,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_3_189,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_3_187,refute_3_188]) ).
cnf(refute_3_190,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_189]) ).
cnf(refute_3_191,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_3_192,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_3_190,refute_3_191]) ).
cnf(refute_3_193,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_3_183,refute_3_192]) ).
cnf(refute_3_194,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_3_22]) ).
cnf(refute_3_195,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_3_196,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_3_197,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_3_195,refute_3_196]) ).
cnf(refute_3_198,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_3_61,refute_3_197]) ).
cnf(refute_3_199,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_3_200,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_3_198,refute_3_199]) ).
cnf(refute_3_201,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_3_25,refute_3_200]) ).
cnf(refute_3_202,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_3_203,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_3_201,refute_3_202]) ).
cnf(refute_3_204,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_3_194,refute_3_203]) ).
cnf(refute_3_205,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_3_23]) ).
cnf(refute_3_206,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_3_207,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_208,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_3_206,refute_3_207]) ).
cnf(refute_3_209,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_39,refute_3_208]) ).
cnf(refute_3_210,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_3_211,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_3_209,refute_3_210]) ).
cnf(refute_3_212,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_3_205,refute_3_211]) ).
cnf(refute_3_213,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_3_214,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_3_215,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_3_213,refute_3_214]) ).
cnf(refute_3_216,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_3_162,refute_3_215]) ).
cnf(refute_3_217,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_3_218,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_3_216,refute_3_217]) ).
cnf(refute_3_219,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_3_212,refute_3_218]) ).
cnf(refute_3_220,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_3_221,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_3_219,refute_3_220]) ).
cnf(refute_3_222,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_3_204,refute_3_221]) ).
cnf(refute_3_223,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_3_224,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_3_225,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_3_223,refute_3_224]) ).
cnf(refute_3_226,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_3_222,refute_3_225]) ).
cnf(refute_3_227,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_3_228,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_3_226,refute_3_227]) ).
cnf(refute_3_229,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_3_137,refute_3_228]) ).
cnf(refute_3_230,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_3_231,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_3_229,refute_3_230]) ).
cnf(refute_3_232,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_3_193,refute_3_231]) ).
cnf(refute_3_233,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_3_234,plain,
( op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_3_232,refute_3_233]) ).
cnf(refute_3_235,plain,
op2(op2(e20,e22),e21) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) )],[refute_3_175,refute_3_234]) ).
cnf(refute_3_236,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_3_24]) ).
cnf(refute_3_237,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_3_238,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_3_239,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_3_237,refute_3_238]) ).
cnf(refute_3_240,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_39,refute_3_239]) ).
cnf(refute_3_241,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_3_242,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_3_240,refute_3_241]) ).
cnf(refute_3_243,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_70,refute_3_242]) ).
cnf(refute_3_244,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_3_245,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_3_243,refute_3_244]) ).
cnf(refute_3_246,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_3_236,refute_3_245]) ).
cnf(refute_3_247,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_3_248,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_153,refute_3_247]) ).
cnf(refute_3_249,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_3_246,refute_3_248]) ).
cnf(refute_3_250,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_3_251,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_3_252,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_3_250,refute_3_251]) ).
cnf(refute_3_253,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_39,refute_3_252]) ).
cnf(refute_3_254,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_3_255,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_3_253,refute_3_254]) ).
cnf(refute_3_256,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_3_55,refute_3_255]) ).
cnf(refute_3_257,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_3_258,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_3_256,refute_3_257]) ).
cnf(refute_3_259,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_3_260,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_261,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_3_259,refute_3_260]) ).
cnf(refute_3_262,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_3_258,refute_3_261]) ).
cnf(refute_3_263,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_3_264,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_3_262,refute_3_263]) ).
cnf(refute_3_265,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_3_249,refute_3_264]) ).
cnf(refute_3_266,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_3_267,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_3_265,refute_3_266]) ).
cnf(refute_3_268,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_3_26]) ).
cnf(refute_3_269,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_3_28]) ).
cnf(refute_3_270,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_3_271,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_3_39,refute_3_270]) ).
cnf(refute_3_272,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_3_271,refute_3_269]) ).
cnf(refute_3_273,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_3_268,refute_3_272]) ).
cnf(refute_3_274,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_3_29]) ).
cnf(refute_3_275,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_276,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_70,refute_3_275]) ).
cnf(refute_3_277,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_3_276,refute_3_274]) ).
cnf(refute_3_278,plain,
( op2(e20,e22) != h4(e13)
| op2(e21,e23) != op2(e20,e22)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_3_279,plain,
( op2(e20,e22) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_3_162,refute_3_278]) ).
cnf(refute_3_280,plain,
( h4(e13) != e20
| op2(e20,e22) != e20
| op2(e20,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_3_281,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_153,refute_3_280]) ).
cnf(refute_3_282,plain,
( op2(e20,e22) != e20
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h4(e13)) )],[refute_3_281,refute_3_279]) ).
cnf(refute_3_283,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_3_282,refute_3_277]) ).
cnf(refute_3_284,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_3_273,refute_3_283]) ).
cnf(refute_3_285,plain,
op2(e23,e21) != op2(e23,e22),
inference(canonicalize,[],[normalize_3_30]) ).
cnf(refute_3_286,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(e21,e23) != op2(e23,e21)
| op2(e20,e22) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_3_287,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e20,e22) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_3_162,refute_3_286]) ).
cnf(refute_3_288,plain,
op2(e20,e22) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_3_107,refute_3_287]) ).
cnf(refute_3_289,plain,
( op2(e20,e22) != op2(e23,e21)
| op2(e23,e21) = op2(e20,e22) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_3_290,plain,
op2(e23,e21) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e21)) )],[refute_3_288,refute_3_289]) ).
cnf(refute_3_291,plain,
( op2(e20,e22) != op2(e23,e22)
| op2(e23,e21) != op2(e20,e22)
| op2(e23,e21) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),op2(e20,e22)) ),[1],$fot(op2(e23,e22))]]) ).
cnf(refute_3_292,plain,
( op2(e20,e22) != op2(e23,e22)
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e20,e22)) )],[refute_3_290,refute_3_291]) ).
cnf(refute_3_293,plain,
( op2(e20,e22) != e21
| op2(e23,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_3_294,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_3_61,refute_3_293]) ).
cnf(refute_3_295,plain,
( op2(e20,e22) != e21
| op2(e23,e21) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_3_294,refute_3_292]) ).
cnf(refute_3_296,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e22)) )],[refute_3_295,refute_3_285]) ).
cnf(refute_3_297,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_3_284,refute_3_296]) ).
cnf(refute_3_298,plain,
op2(op2(e20,e22),e21) = op2(op2(e20,e22),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e21))]]) ).
cnf(refute_3_299,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) != op2(op2(e20,e22),e21)
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_3_300,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) )],[refute_3_298,refute_3_299]) ).
cnf(refute_3_301,plain,
op2(op2(e20,e22),e21) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_3_297,refute_3_300]) ).
cnf(refute_3_302,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) != op2(e22,e21)
| op2(op2(e20,e22),e21) = e20 ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e20,e22),e21))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_3_303,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e22,e21)) )],[refute_3_301,refute_3_302]) ).
cnf(refute_3_304,plain,
op2(op2(e20,e22),e21) = e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_3_267,refute_3_303]) ).
cnf(refute_3_305,plain,
( op2(op2(e20,e22),e21) != e20
| op2(op2(e20,e22),e21) != h1(e13)
| e20 = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) ),[0],$fot(e20)]]) ).
cnf(refute_3_306,plain,
( op2(op2(e20,e22),e21) != h1(e13)
| e20 = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),e20) )],[refute_3_304,refute_3_305]) ).
cnf(refute_3_307,plain,
e20 = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) )],[refute_3_235,refute_3_306]) ).
cnf(refute_3_308,plain,
( e20 != h1(e13)
| h1(e13) = e20 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e20)),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_3_309,plain,
h1(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_3_307,refute_3_308]) ).
cnf(refute_3_310,plain,
( h1(e13) != e20
| op2(e20,e20) != h1(e13)
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(h1(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_3_311,plain,
( h1(e13) != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_3_6,refute_3_310]) ).
cnf(refute_3_312,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_309,refute_3_311]) ).
cnf(refute_3_313,plain,
op2(h1(e13),e20) = op2(h1(e13),e20),
introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).
cnf(refute_3_314,plain,
( h1(e13) != e20
| op2(h1(e13),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_315,plain,
( h1(e13) != e20
| op2(h1(e13),e20) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_3_313,refute_3_314]) ).
cnf(refute_3_316,plain,
op2(h1(e13),e20) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_3_309,refute_3_315]) ).
cnf(refute_3_317,plain,
( op2(e20,e20) != e20
| op2(h1(e13),e20) != op2(e20,e20)
| op2(h1(e13),e20) = e20 ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(h1(e13),e20))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_3_318,plain,
( op2(e20,e20) != e20
| op2(h1(e13),e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,e20)) )],[refute_3_316,refute_3_317]) ).
cnf(refute_3_319,plain,
op2(h1(e13),e20) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_3_312,refute_3_318]) ).
cnf(refute_3_320,plain,
( op2(h1(e13),e20) != e20
| op2(h1(e13),e20) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_3_321,plain,
( op2(h1(e13),e20) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),e20) )],[refute_3_319,refute_3_320]) ).
cnf(refute_3_322,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_3_19,refute_3_321]) ).
cnf(refute_3_323,plain,
h4(op1(e10,e13)) != op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_3_37]) ).
cnf(refute_3_324,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e13)))]]) ).
cnf(refute_3_325,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_3_326,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_3_324,refute_3_325]) ).
cnf(refute_3_327,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_153,refute_3_326]) ).
cnf(refute_3_328,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_3_38]) ).
cnf(refute_3_329,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_3_330,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_3_232,refute_3_329]) ).
cnf(refute_3_331,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_3_137,refute_3_330]) ).
cnf(refute_3_332,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_39]) ).
cnf(refute_3_333,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_3_334,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_3_335,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_3_333,refute_3_334]) ).
cnf(refute_3_336,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_3_70,refute_3_335]) ).
cnf(refute_3_337,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_3_338,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_3_336,refute_3_337]) ).
cnf(refute_3_339,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_3_40]) ).
cnf(refute_3_340,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_3_341,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_3_339,refute_3_340]) ).
cnf(refute_3_342,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_3_343,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_3_341,refute_3_342]) ).
cnf(refute_3_344,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_3_338,refute_3_343]) ).
cnf(refute_3_345,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_3_332,refute_3_344]) ).
cnf(refute_3_346,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_3_347,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_3_348,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_3_346,refute_3_347]) ).
cnf(refute_3_349,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_153,refute_3_348]) ).
cnf(refute_3_350,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_3_351,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_3_349,refute_3_350]) ).
cnf(refute_3_352,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_3_222,refute_3_351]) ).
cnf(refute_3_353,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_3_354,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_3_352,refute_3_353]) ).
cnf(refute_3_355,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_3_345,refute_3_354]) ).
cnf(refute_3_356,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_3_357,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_3_355,refute_3_356]) ).
cnf(refute_3_358,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_3_359,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_3_341,refute_3_358]) ).
cnf(refute_3_360,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_3_357,refute_3_359]) ).
cnf(refute_3_361,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_3_362,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_3_363,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_3_361,refute_3_362]) ).
cnf(refute_3_364,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_3_360,refute_3_363]) ).
cnf(refute_3_365,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_3_366,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_3_364,refute_3_365]) ).
cnf(refute_3_367,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_3_331,refute_3_366]) ).
cnf(refute_3_368,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_3_369,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_3_367,refute_3_368]) ).
cnf(refute_3_370,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_3_328,refute_3_369]) ).
cnf(refute_3_371,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_3_372,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_3_373,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_3_371,refute_3_372]) ).
cnf(refute_3_374,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_3_370,refute_3_373]) ).
cnf(refute_3_375,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),h4(e13)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_3_376,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_3_374,refute_3_375]) ).
cnf(refute_3_377,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),e20)) )],[refute_3_327,refute_3_376]) ).
cnf(refute_3_378,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_3_379,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),e20)) )],[refute_3_377,refute_3_378]) ).
cnf(refute_3_380,plain,
op2(h4(e10),h4(e13)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_3_19,refute_3_379]) ).
cnf(refute_3_381,plain,
( h4(op1(e10,e13)) != h1(e11)
| op2(h4(e10),h4(e13)) != h1(e11)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_3_382,plain,
( h4(op1(e10,e13)) != h1(e11)
| h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),h1(e11)) )],[refute_3_380,refute_3_381]) ).
cnf(refute_3_383,plain,
h4(op1(e10,e13)) != h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_3_382,refute_3_323]) ).
cnf(refute_3_384,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(canonicalize,[],[normalize_3_42]) ).
cnf(refute_3_385,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_3_44]) ).
cnf(refute_3_386,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_3_387,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_3_385,refute_3_386]) ).
cnf(refute_3_388,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_3_389,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_3_390,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_3_388,refute_3_389]) ).
cnf(refute_3_391,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_387,refute_3_390]) ).
cnf(refute_3_392,plain,
( op1(e10,op1(e12,e12)) != op1(e10,e13)
| op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_3_393,plain,
( op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_3_391,refute_3_392]) ).
cnf(refute_3_394,plain,
op1(op1(e10,e12),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) )],[refute_3_384,refute_3_393]) ).
cnf(refute_3_395,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_3_46]) ).
cnf(refute_3_396,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_3_48]) ).
cnf(refute_3_397,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_3_398,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_387,refute_3_397]) ).
cnf(refute_3_399,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_3_398,refute_3_396]) ).
cnf(refute_3_400,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_3_395,refute_3_399]) ).
cnf(refute_3_401,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_3_49]) ).
cnf(refute_3_402,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_3_50]) ).
cnf(refute_3_403,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_3_51]) ).
cnf(refute_3_404,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_3_405,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_3_406,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_3_404,refute_3_405]) ).
cnf(refute_3_407,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_387,refute_3_406]) ).
cnf(refute_3_408,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_3_409,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_3_407,refute_3_408]) ).
cnf(refute_3_410,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_3_403,refute_3_409]) ).
cnf(refute_3_411,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_3_52]) ).
cnf(refute_3_412,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_3_53]) ).
cnf(refute_3_413,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_3_414,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_3_415,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_3_413,refute_3_414]) ).
cnf(refute_3_416,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_387,refute_3_415]) ).
cnf(refute_3_417,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_3_418,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_3_416,refute_3_417]) ).
cnf(refute_3_419,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_3_54]) ).
cnf(refute_3_420,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_3_421,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_3_419,refute_3_420]) ).
cnf(refute_3_422,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_3_423,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_3_421,refute_3_422]) ).
cnf(refute_3_424,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_3_418,refute_3_423]) ).
cnf(refute_3_425,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_3_412,refute_3_424]) ).
cnf(refute_3_426,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_3_427,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_3_428,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_3_426,refute_3_427]) ).
cnf(refute_3_429,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_3_425,refute_3_428]) ).
cnf(refute_3_430,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_3_431,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_3_429,refute_3_430]) ).
cnf(refute_3_432,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_3_433,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_3_434,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_3_432,refute_3_433]) ).
cnf(refute_3_435,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_387,refute_3_434]) ).
cnf(refute_3_436,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_3_437,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_3_435,refute_3_436]) ).
cnf(refute_3_438,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_3_431,refute_3_437]) ).
cnf(refute_3_439,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_3_411,refute_3_438]) ).
cnf(refute_3_440,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_3_441,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_3_439,refute_3_440]) ).
cnf(refute_3_442,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_3_443,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_3_444,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_3_442,refute_3_443]) ).
cnf(refute_3_445,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_3_441,refute_3_444]) ).
cnf(refute_3_446,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_3_447,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_3_445,refute_3_446]) ).
cnf(refute_3_448,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_3_410,refute_3_447]) ).
cnf(refute_3_449,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_3_450,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_3_448,refute_3_449]) ).
cnf(refute_3_451,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_3_452,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_3_453,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_3_451,refute_3_452]) ).
cnf(refute_3_454,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_3_425,refute_3_453]) ).
cnf(refute_3_455,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_3_456,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_3_454,refute_3_455]) ).
cnf(refute_3_457,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_3_450,refute_3_456]) ).
cnf(refute_3_458,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_3_402,refute_3_457]) ).
cnf(refute_3_459,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_3_55]) ).
cnf(refute_3_460,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_3_461,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_3_462,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_3_460,refute_3_461]) ).
cnf(refute_3_463,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_3_421,refute_3_462]) ).
cnf(refute_3_464,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_3_465,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_3_463,refute_3_464]) ).
cnf(refute_3_466,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_3_459,refute_3_465]) ).
cnf(refute_3_467,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_3_468,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_3_466,refute_3_467]) ).
cnf(refute_3_469,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_3_470,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_3_471,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_3_469,refute_3_470]) ).
cnf(refute_3_472,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_3_468,refute_3_471]) ).
cnf(refute_3_473,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_3_474,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_3_472,refute_3_473]) ).
cnf(refute_3_475,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_3_410,refute_3_474]) ).
cnf(refute_3_476,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_3_477,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_3_475,refute_3_476]) ).
cnf(refute_3_478,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_3_479,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_3_477,refute_3_478]) ).
cnf(refute_3_480,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_3_458,refute_3_479]) ).
cnf(refute_3_481,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_3_4:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_3_482,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_3_480,refute_3_481]) ).
cnf(refute_3_483,plain,
( op1(e10,e12) != op1(e13,e13)
| op1(e13,e11) != op1(e10,e12)
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_3_484,plain,
( op1(e10,e12) != op1(e13,e13)
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_3_482,refute_3_483]) ).
cnf(refute_3_485,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(e10)]]) ).
cnf(refute_3_486,plain,
( op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_3_468,refute_3_485]) ).
cnf(refute_3_487,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_3_439,refute_3_486]) ).
cnf(refute_3_488,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_3_489,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_3_487,refute_3_488]) ).
cnf(refute_3_490,plain,
( op1(e10,e12) != e10
| op1(e13,e13) != e10
| op1(e10,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_3_491,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_3_489,refute_3_490]) ).
cnf(refute_3_492,plain,
( op1(e10,e12) != e10
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e13)) )],[refute_3_491,refute_3_484]) ).
cnf(refute_3_493,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_3_492,refute_3_401]) ).
cnf(refute_3_494,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_3_400,refute_3_493]) ).
cnf(refute_3_495,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_3_56]) ).
cnf(refute_3_496,plain,
( op1(e10,e12) != e11
| op1(e13,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_3_497,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_3_425,refute_3_496]) ).
cnf(refute_3_498,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_3_497,refute_3_495]) ).
cnf(refute_3_499,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_3_494,refute_3_498]) ).
cnf(refute_3_500,plain,
op1(op1(e10,e12),e12) = op1(op1(e10,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e12))]]) ).
cnf(refute_3_501,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) != op1(op1(e10,e12),e12)
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) ),[1,0],$fot(e12)]]) ).
cnf(refute_3_502,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) )],[refute_3_500,refute_3_501]) ).
cnf(refute_3_503,plain,
op1(op1(e10,e12),e12) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_3_499,refute_3_502]) ).
cnf(refute_3_504,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) != op1(e12,e12)
| op1(op1(e10,e12),e12) = e13 ),
inference(subst,[],[refute_3_76:[bind(X,$fot(op1(op1(e10,e12),e12))),bind(Y,$fot(op1(e12,e12))),bind(Z,$fot(e13))]]) ).
cnf(refute_3_505,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e12,e12)) )],[refute_3_503,refute_3_504]) ).
cnf(refute_3_506,plain,
op1(op1(e10,e12),e12) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_3_387,refute_3_505]) ).
cnf(refute_3_507,plain,
( op1(op1(e10,e12),e12) != e13
| op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) ),[0],$fot(e13)]]) ).
cnf(refute_3_508,plain,
( op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),e13) )],[refute_3_506,refute_3_507]) ).
cnf(refute_3_509,plain,
e13 = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) )],[refute_3_394,refute_3_508]) ).
cnf(refute_3_510,plain,
( e13 != op1(e10,e13)
| op1(e10,e13) = e13 ),
inference(subst,[],[refute_3_4:[bind(X,$fot(e13)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_3_511,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e10,e13)) )],[refute_3_509,refute_3_510]) ).
cnf(refute_3_512,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_3_513,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e13
| h4(op1(e10,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_3_514,plain,
( op1(e10,e13) != e13
| h4(op1(e10,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_3_512,refute_3_513]) ).
cnf(refute_3_515,plain,
h4(op1(e10,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_3_511,refute_3_514]) ).
cnf(refute_3_516,plain,
( h4(e13) != e20
| h4(op1(e10,e13)) != h4(e13)
| h4(op1(e10,e13)) = e20 ),
inference(subst,[],[refute_3_76:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_3_517,plain,
( h4(e13) != e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e13)) )],[refute_3_515,refute_3_516]) ).
cnf(refute_3_518,plain,
h4(op1(e10,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_3_153,refute_3_517]) ).
cnf(refute_3_519,plain,
( e20 != h1(e11)
| h4(op1(e10,e13)) != e20
| h4(op1(e10,e13)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),e20) ),[1],$fot(h1(e11))]]) ).
cnf(refute_3_520,plain,
( e20 != h1(e11)
| h4(op1(e10,e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e20) )],[refute_3_518,refute_3_519]) ).
cnf(refute_3_521,plain,
e20 != h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h1(e11)) )],[refute_3_520,refute_3_383]) ).
cnf(refute_3_522,plain,
$false,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_3_322,refute_3_521]) ).
fof(negate_4_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(negate,[],[subgoal_4]) ).
fof(normalize_4_0,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_4_0]) ).
fof(normalize_4_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_4_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_4_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_4_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_4_5]) ).
fof(normalize_4_7,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_4_0,normalize_4_2,normalize_4_4,normalize_4_6]) ).
fof(normalize_4_8,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_9,plain,
( 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_10,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_11,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_12,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_13,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_14,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_4_15,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_16,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_17,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_18,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_19,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_20,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_21,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_4_14]) ).
fof(normalize_4_22,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_4_23,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_24,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_25,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_26,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_4_3]) ).
fof(normalize_4_27,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_28,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_29,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_30,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_31,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_4_32,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_33,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_34,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_35,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_36,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_37,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_38,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_39,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_4_31]) ).
fof(normalize_4_40,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_41,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_42,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_43,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_44,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_45,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_46,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(conjunct,[],[normalize_4_45]) ).
fof(normalize_4_47,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_48,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_49,plain,
op1(e13,e11) != op1(e13,e13),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_50,plain,
op1(e10,e12) != op1(e13,e12),
inference(conjunct,[],[normalize_4_47]) ).
fof(normalize_4_51,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_52,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_4_1]) ).
fof(normalize_4_53,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_54,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_55,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(conjunct,[],[normalize_4_9]) ).
fof(normalize_4_56,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_57,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_4_7]) ).
fof(normalize_4_58,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_4_22]) ).
fof(normalize_4_59,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_60,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_4_24]) ).
fof(normalize_4_61,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_62,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_4_61]) ).
fof(normalize_4_63,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_64,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_65,plain,
op2(e21,e23) != op2(e23,e23),
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_66,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_4_63]) ).
fof(normalize_4_67,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(conjunct,[],[normalize_4_24]) ).
cnf(refute_4_0,plain,
h4(op1(e11,e10)) != op2(h4(e11),h4(e10)),
inference(canonicalize,[],[normalize_4_8]) ).
cnf(refute_4_1,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(canonicalize,[],[normalize_4_10]) ).
cnf(refute_4_2,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(canonicalize,[],[normalize_4_11]) ).
cnf(refute_4_3,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_4_12]) ).
cnf(refute_4_4,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_4_13]) ).
cnf(refute_4_5,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_4_15]) ).
cnf(refute_4_6,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_4_7,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_4_8,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_4_6,refute_4_7]) ).
cnf(refute_4_9,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_4_10,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_4_5,refute_4_9]) ).
cnf(refute_4_11,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_4_12,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_4_13,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_4_11,refute_4_12]) ).
cnf(refute_4_14,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_10,refute_4_13]) ).
cnf(refute_4_15,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_4_16,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_4_14,refute_4_15]) ).
cnf(refute_4_17,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_4_16]) ).
cnf(refute_4_18,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_4_19,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_4_17,refute_4_18]) ).
cnf(refute_4_20,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_4_21,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_4_19,refute_4_20]) ).
cnf(refute_4_22,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_4_16,refute_4_21]) ).
cnf(refute_4_23,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_4_4,refute_4_22]) ).
cnf(refute_4_24,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_4_25,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_26,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_4_24,refute_4_25]) ).
cnf(refute_4_27,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_4_23,refute_4_26]) ).
cnf(refute_4_28,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_4_29,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_4_27,refute_4_28]) ).
cnf(refute_4_30,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_4_31,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_4_32,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_4_30,refute_4_31]) ).
cnf(refute_4_33,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_10,refute_4_32]) ).
cnf(refute_4_34,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_4_35,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_4_33,refute_4_34]) ).
cnf(refute_4_36,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_4_29,refute_4_35]) ).
cnf(refute_4_37,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_4_3,refute_4_36]) ).
cnf(refute_4_38,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_39,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_4_37,refute_4_38]) ).
cnf(refute_4_40,plain,
op1(op1(e13,e13),e11) = op1(op1(e13,e13),e11),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e11))]]) ).
cnf(refute_4_41,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) != op1(op1(e13,e13),e11)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_4_42,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) )],[refute_4_40,refute_4_41]) ).
cnf(refute_4_43,plain,
op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_4_39,refute_4_42]) ).
cnf(refute_4_44,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_4_45,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_4_8,refute_4_44]) ).
cnf(refute_4_46,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(op1(e11,e12),e11)
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(op1(e13,e13),e11))),bind(Y,$fot(op1(op1(e11,e12),e11))),bind(Z,$fot(op1(e11,op1(e12,e11))))]]) ).
cnf(refute_4_47,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e11,e12),e11)) )],[refute_4_43,refute_4_46]) ).
cnf(refute_4_48,plain,
op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_4_1,refute_4_47]) ).
cnf(refute_4_49,plain,
( op1(op1(e13,e13),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) ),[0],$fot(op1(e11,op1(e12,e11)))]]) ).
cnf(refute_4_50,plain,
( op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e11,op1(e12,e11))) )],[refute_4_48,refute_4_49]) ).
cnf(refute_4_51,plain,
op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) )],[refute_4_2,refute_4_50]) ).
cnf(refute_4_52,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(canonicalize,[],[normalize_4_17]) ).
cnf(refute_4_53,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_4_18]) ).
cnf(refute_4_54,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_4_55,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_4_56,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_4_54,refute_4_55]) ).
cnf(refute_4_57,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_4_39,refute_4_56]) ).
cnf(refute_4_58,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_4_59,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e11,e12))) )],[refute_4_57,refute_4_58]) ).
cnf(refute_4_60,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_4_53,refute_4_59]) ).
cnf(refute_4_61,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_4_19]) ).
cnf(refute_4_62,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_4_20]) ).
cnf(refute_4_63,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_4_64,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_4_65,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_4_63,refute_4_64]) ).
cnf(refute_4_66,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_10,refute_4_65]) ).
cnf(refute_4_67,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_4_68,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_4_66,refute_4_67]) ).
cnf(refute_4_69,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_4_62,refute_4_68]) ).
cnf(refute_4_70,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_4_71,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_4_72,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_4_70,refute_4_71]) ).
cnf(refute_4_73,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_4_39,refute_4_72]) ).
cnf(refute_4_74,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_4_75,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_4_73,refute_4_74]) ).
cnf(refute_4_76,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_4_69,refute_4_75]) ).
cnf(refute_4_77,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_4_78,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_4_76,refute_4_77]) ).
cnf(refute_4_79,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_4_80,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_4_81,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_4_79,refute_4_80]) ).
cnf(refute_4_82,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_4_23,refute_4_81]) ).
cnf(refute_4_83,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_4_84,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_4_82,refute_4_83]) ).
cnf(refute_4_85,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_4_78,refute_4_84]) ).
cnf(refute_4_86,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_4_61,refute_4_85]) ).
cnf(refute_4_87,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e13) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_4_88,plain,
op1(e13,e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_4_86,refute_4_87]) ).
cnf(refute_4_89,plain,
op1(op1(e13,e11),e13) = op1(op1(e13,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e13))]]) ).
cnf(refute_4_90,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) != op1(op1(e13,e11),e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_4_91,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) )],[refute_4_89,refute_4_90]) ).
cnf(refute_4_92,plain,
op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_4_88,refute_4_91]) ).
cnf(refute_4_93,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(op1(e11,e13),e13)
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(op1(e13,e11),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_4_94,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e11,e13),e13)) )],[refute_4_92,refute_4_93]) ).
cnf(refute_4_95,plain,
op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_4_60,refute_4_94]) ).
cnf(refute_4_96,plain,
( op1(op1(e13,e11),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_4_97,plain,
( op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e11,op1(e11,e12))) )],[refute_4_95,refute_4_96]) ).
cnf(refute_4_98,plain,
op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) )],[refute_4_52,refute_4_97]) ).
cnf(refute_4_99,plain,
( op1(e11,op1(e11,e12)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e13,op1(e11,e13))))]]) ).
cnf(refute_4_100,plain,
op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e13,op1(e11,e13))) )],[refute_4_98,refute_4_99]) ).
cnf(refute_4_101,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_4_102,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) ),[1,1],$fot(op1(e11,e13))]]) ).
cnf(refute_4_103,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) )],[refute_4_101,refute_4_102]) ).
cnf(refute_4_104,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_4_88,refute_4_103]) ).
cnf(refute_4_105,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(e13,op1(e13,e11)))),bind(Y,$fot(op1(e13,op1(e11,e13)))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_4_106,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e11,e13))) )],[refute_4_104,refute_4_105]) ).
cnf(refute_4_107,plain,
op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e11,op1(e11,e12))) )],[refute_4_100,refute_4_106]) ).
cnf(refute_4_108,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_4_109,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e11,op1(e11,e12))) )],[refute_4_107,refute_4_108]) ).
cnf(refute_4_110,plain,
op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e13,op1(e13,e11))) )],[refute_4_51,refute_4_109]) ).
cnf(refute_4_111,plain,
( op1(e11,op1(e12,e11)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_4_112,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) )],[refute_4_110,refute_4_111]) ).
cnf(refute_4_113,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_4_1,refute_4_112]) ).
cnf(refute_4_114,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_4_21]) ).
cnf(refute_4_115,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_4_116,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_117,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_4_115,refute_4_116]) ).
cnf(refute_4_118,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_4_19,refute_4_117]) ).
cnf(refute_4_119,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_4_120,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_4_118,refute_4_119]) ).
cnf(refute_4_121,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_4_114,refute_4_120]) ).
cnf(refute_4_122,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_4_123,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_4_121,refute_4_122]) ).
cnf(refute_4_124,plain,
op1(op1(e11,e12),e11) = op1(op1(e11,e12),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e11))]]) ).
cnf(refute_4_125,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) != op1(op1(e11,e12),e11)
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_126,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) )],[refute_4_124,refute_4_125]) ).
cnf(refute_4_127,plain,
op1(op1(e11,e12),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_4_123,refute_4_126]) ).
cnf(refute_4_128,plain,
( op1(op1(e11,e12),e11) != op1(e10,e11)
| op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_4_129,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e10,e11)) )],[refute_4_127,refute_4_128]) ).
cnf(refute_4_130,plain,
op1(e11,op1(e11,e12)) = op1(e11,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_4_131,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_4_132,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) )],[refute_4_130,refute_4_131]) ).
cnf(refute_4_133,plain,
op1(e11,op1(e11,e12)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_4_123,refute_4_132]) ).
cnf(refute_4_134,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_4_135,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_4_133,refute_4_134]) ).
cnf(refute_4_136,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e12))) )],[refute_4_129,refute_4_135]) ).
cnf(refute_4_137,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) )],[refute_4_113,refute_4_136]) ).
cnf(refute_4_138,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_4_139,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_4_137,refute_4_138]) ).
cnf(refute_4_140,plain,
h4(op1(e11,e10)) = h4(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e10)))]]) ).
cnf(refute_4_141,plain,
( h4(op1(e11,e10)) != h4(op1(e11,e10))
| op1(e11,e10) != op1(e10,e11)
| h4(op1(e11,e10)) = h4(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_4_142,plain,
( op1(e11,e10) != op1(e10,e11)
| h4(op1(e11,e10)) = h4(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e11,e10))) )],[refute_4_140,refute_4_141]) ).
cnf(refute_4_143,plain,
h4(op1(e11,e10)) = h4(op1(e10,e11)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_4_139,refute_4_142]) ).
cnf(refute_4_144,plain,
( h4(op1(e10,e11)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) != h4(op1(e10,e11))
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e10,e11))) ),[1],$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_4_145,plain,
( h4(op1(e10,e11)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),h4(op1(e10,e11))) )],[refute_4_143,refute_4_144]) ).
cnf(refute_4_146,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_4_23]) ).
cnf(refute_4_147,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_4_25]) ).
cnf(refute_4_148,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_4_26]) ).
cnf(refute_4_149,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_4_150,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_4_148,refute_4_149]) ).
cnf(refute_4_151,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_4_152,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_4_153,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_4_151,refute_4_152]) ).
cnf(refute_4_154,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_150,refute_4_153]) ).
cnf(refute_4_155,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_4_156,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_4_154,refute_4_155]) ).
cnf(refute_4_157,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_4_147,refute_4_156]) ).
cnf(refute_4_158,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_4_27]) ).
cnf(refute_4_159,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_4_28]) ).
cnf(refute_4_160,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_4_161,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_4_162,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_4_160,refute_4_161]) ).
cnf(refute_4_163,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_150,refute_4_162]) ).
cnf(refute_4_164,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_4_165,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_4_163,refute_4_164]) ).
cnf(refute_4_166,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_4_159,refute_4_165]) ).
cnf(refute_4_167,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_4_168,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_4_166,refute_4_167]) ).
cnf(refute_4_169,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_4_29]) ).
cnf(refute_4_170,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_4_30]) ).
cnf(refute_4_171,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_4_32]) ).
cnf(refute_4_172,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_4_173,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_4_171,refute_4_172]) ).
cnf(refute_4_174,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_4_175,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_176,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_4_174,refute_4_175]) ).
cnf(refute_4_177,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_173,refute_4_176]) ).
cnf(refute_4_178,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_179,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_4_177,refute_4_178]) ).
cnf(refute_4_180,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_4_170,refute_4_179]) ).
cnf(refute_4_181,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_4_33]) ).
cnf(refute_4_182,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_4_34]) ).
cnf(refute_4_183,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_4_184,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_185,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_4_183,refute_4_184]) ).
cnf(refute_4_186,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_173,refute_4_185]) ).
cnf(refute_4_187,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_4_188,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_4_186,refute_4_187]) ).
cnf(refute_4_189,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_4_35]) ).
cnf(refute_4_190,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_4_191,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_4_189,refute_4_190]) ).
cnf(refute_4_192,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_4_193,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_4_191,refute_4_192]) ).
cnf(refute_4_194,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_4_188,refute_4_193]) ).
cnf(refute_4_195,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_4_182,refute_4_194]) ).
cnf(refute_4_196,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_4_197,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_198,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_4_196,refute_4_197]) ).
cnf(refute_4_199,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_4_195,refute_4_198]) ).
cnf(refute_4_200,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_4_201,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_4_199,refute_4_200]) ).
cnf(refute_4_202,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_4_36]) ).
cnf(refute_4_203,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_4_204,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_4_202,refute_4_203]) ).
cnf(refute_4_205,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_4_206,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_207,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_4_205,refute_4_206]) ).
cnf(refute_4_208,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_173,refute_4_207]) ).
cnf(refute_4_209,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_4_210,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_4_208,refute_4_209]) ).
cnf(refute_4_211,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_204,refute_4_210]) ).
cnf(refute_4_212,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_4_213,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_4_211,refute_4_212]) ).
cnf(refute_4_214,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_4_201,refute_4_213]) ).
cnf(refute_4_215,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_4_181,refute_4_214]) ).
cnf(refute_4_216,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_4_217,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_4_218,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_4_216,refute_4_217]) ).
cnf(refute_4_219,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_4_215,refute_4_218]) ).
cnf(refute_4_220,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_4_221,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_4_219,refute_4_220]) ).
cnf(refute_4_222,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_4_180,refute_4_221]) ).
cnf(refute_4_223,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_4_224,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_4_225,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_4_223,refute_4_224]) ).
cnf(refute_4_226,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_204,refute_4_225]) ).
cnf(refute_4_227,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_4_228,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_4_226,refute_4_227]) ).
cnf(refute_4_229,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_4_222,refute_4_228]) ).
cnf(refute_4_230,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_4_231,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_4_229,refute_4_230]) ).
cnf(refute_4_232,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_4_233,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_234,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_4_232,refute_4_233]) ).
cnf(refute_4_235,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_4_195,refute_4_234]) ).
cnf(refute_4_236,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_4_237,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_4_235,refute_4_236]) ).
cnf(refute_4_238,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_4_231,refute_4_237]) ).
cnf(refute_4_239,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_4_169,refute_4_238]) ).
cnf(refute_4_240,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_4_241,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_4_239,refute_4_240]) ).
cnf(refute_4_242,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_4_243,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_4_244,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_4_242,refute_4_243]) ).
cnf(refute_4_245,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_4_241,refute_4_244]) ).
cnf(refute_4_246,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_4_247,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_4_245,refute_4_246]) ).
cnf(refute_4_248,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_4_168,refute_4_247]) ).
cnf(refute_4_249,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_4_250,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_4_248,refute_4_249]) ).
cnf(refute_4_251,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_4_158,refute_4_250]) ).
cnf(refute_4_252,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_4_253,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_4_254,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_4_252,refute_4_253]) ).
cnf(refute_4_255,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_4_241,refute_4_254]) ).
cnf(refute_4_256,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_4_257,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_4_255,refute_4_256]) ).
cnf(refute_4_258,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_4_251,refute_4_257]) ).
cnf(refute_4_259,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_4_260,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_4_258,refute_4_259]) ).
cnf(refute_4_261,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_4_157,refute_4_260]) ).
cnf(refute_4_262,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_37]) ).
cnf(refute_4_263,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_4_264,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_4_265,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_4_263,refute_4_264]) ).
cnf(refute_4_266,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_204,refute_4_265]) ).
cnf(refute_4_267,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_4_268,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_4_266,refute_4_267]) ).
cnf(refute_4_269,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_4_262,refute_4_268]) ).
cnf(refute_4_270,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_4_38]) ).
cnf(refute_4_271,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_4_272,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_4_270,refute_4_271]) ).
cnf(refute_4_273,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_4_39]) ).
cnf(refute_4_274,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_4_275,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_4_276,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_4_274,refute_4_275]) ).
cnf(refute_4_277,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_4_191,refute_4_276]) ).
cnf(refute_4_278,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_4_279,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_4_277,refute_4_278]) ).
cnf(refute_4_280,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_4_215,refute_4_279]) ).
cnf(refute_4_281,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_4_282,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_4_280,refute_4_281]) ).
cnf(refute_4_283,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_4_273,refute_4_282]) ).
cnf(refute_4_284,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_4_285,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_4_283,refute_4_284]) ).
cnf(refute_4_286,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_4_287,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_288,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_4_286,refute_4_287]) ).
cnf(refute_4_289,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_288]) ).
cnf(refute_4_290,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_4_291,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_4_289,refute_4_290]) ).
cnf(refute_4_292,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_272,refute_4_291]) ).
cnf(refute_4_293,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_4_294,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_4_292,refute_4_293]) ).
cnf(refute_4_295,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_4_269,refute_4_294]) ).
cnf(refute_4_296,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_4_40]) ).
cnf(refute_4_297,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_4_298,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_4_299,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_4_297,refute_4_298]) ).
cnf(refute_4_300,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_4_195,refute_4_299]) ).
cnf(refute_4_301,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_4_302,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_4_300,refute_4_301]) ).
cnf(refute_4_303,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_4_150,refute_4_302]) ).
cnf(refute_4_304,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_4_305,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_4_303,refute_4_304]) ).
cnf(refute_4_306,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_4_296,refute_4_305]) ).
cnf(refute_4_307,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_4_41]) ).
cnf(refute_4_308,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_4_309,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_310,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_4_308,refute_4_309]) ).
cnf(refute_4_311,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_173,refute_4_310]) ).
cnf(refute_4_312,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_4_313,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_4_311,refute_4_312]) ).
cnf(refute_4_314,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_4_307,refute_4_313]) ).
cnf(refute_4_315,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_4_316,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_317,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_4_315,refute_4_316]) ).
cnf(refute_4_318,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_317]) ).
cnf(refute_4_319,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_4_320,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_4_318,refute_4_319]) ).
cnf(refute_4_321,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_4_222,refute_4_320]) ).
cnf(refute_4_322,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_4_323,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_4_321,refute_4_322]) ).
cnf(refute_4_324,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_4_325,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_4_326,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_4_324,refute_4_325]) ).
cnf(refute_4_327,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_4_323,refute_4_326]) ).
cnf(refute_4_328,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_4_329,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_4_327,refute_4_328]) ).
cnf(refute_4_330,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_4_314,refute_4_329]) ).
cnf(refute_4_331,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_4_332,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_4_330,refute_4_331]) ).
cnf(refute_4_333,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_4_306,refute_4_332]) ).
cnf(refute_4_334,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_4_335,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_4_336,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_4_334,refute_4_335]) ).
cnf(refute_4_337,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_4_333,refute_4_336]) ).
cnf(refute_4_338,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_4_339,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_4_337,refute_4_338]) ).
cnf(refute_4_340,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_4_261,refute_4_339]) ).
cnf(refute_4_341,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_4_342,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_4_340,refute_4_341]) ).
cnf(refute_4_343,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_4_295,refute_4_342]) ).
cnf(refute_4_344,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_4_345,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_4_343,refute_4_344]) ).
cnf(refute_4_346,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_4_261,refute_4_345]) ).
cnf(refute_4_347,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_42]) ).
cnf(refute_4_348,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_4_349,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_4_350,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_4_348,refute_4_349]) ).
cnf(refute_4_351,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_204,refute_4_350]) ).
cnf(refute_4_352,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_4_353,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_4_351,refute_4_352]) ).
cnf(refute_4_354,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_4_43]) ).
cnf(refute_4_355,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_4_356,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_4_354,refute_4_355]) ).
cnf(refute_4_357,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_4_358,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_4_356,refute_4_357]) ).
cnf(refute_4_359,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_4_353,refute_4_358]) ).
cnf(refute_4_360,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_4_347,refute_4_359]) ).
cnf(refute_4_361,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_4_362,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_363,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_4_361,refute_4_362]) ).
cnf(refute_4_364,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_363]) ).
cnf(refute_4_365,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_4_366,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_4_364,refute_4_365]) ).
cnf(refute_4_367,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_4_333,refute_4_366]) ).
cnf(refute_4_368,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_369,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_4_367,refute_4_368]) ).
cnf(refute_4_370,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_4_360,refute_4_369]) ).
cnf(refute_4_371,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_4_372,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_4_370,refute_4_371]) ).
cnf(refute_4_373,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_4_374,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_4_356,refute_4_373]) ).
cnf(refute_4_375,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_4_372,refute_4_374]) ).
cnf(refute_4_376,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_4_377,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_4_378,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_4_376,refute_4_377]) ).
cnf(refute_4_379,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_4_375,refute_4_378]) ).
cnf(refute_4_380,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_4_381,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_4_379,refute_4_380]) ).
cnf(refute_4_382,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_4_346,refute_4_381]) ).
cnf(refute_4_383,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_4_384,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_4_382,refute_4_383]) ).
cnf(refute_4_385,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_4_146,refute_4_384]) ).
cnf(refute_4_386,plain,
op2(h2(e13),h4(e10)) = op2(h2(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e10)))]]) ).
cnf(refute_4_387,plain,
( h4(e10) != h1(e13)
| op2(h2(e13),h4(e10)) != op2(h2(e13),h4(e10))
| op2(h2(e13),h4(e10)) = op2(h2(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e10)),op2(h2(e13),h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_4_388,plain,
( h4(e10) != h1(e13)
| op2(h2(e13),h4(e10)) = op2(h2(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_4_386,refute_4_387]) ).
cnf(refute_4_389,plain,
op2(h2(e13),h4(e10)) = op2(h2(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_4_385,refute_4_388]) ).
cnf(refute_4_390,plain,
op2(h4(e11),h4(e10)) = op2(h4(e11),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e10)))]]) ).
cnf(refute_4_391,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) != op2(h4(e11),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_4_392,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h4(e11),h4(e10))) )],[refute_4_390,refute_4_391]) ).
cnf(refute_4_393,plain,
op2(h4(e11),h4(e10)) = op2(h2(e13),h4(e10)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_4_372,refute_4_392]) ).
cnf(refute_4_394,plain,
( op2(h2(e13),h4(e10)) != op2(h2(e13),h1(e13))
| op2(h4(e11),h4(e10)) != op2(h2(e13),h4(e10))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h1(e13)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h4(e11),h4(e10)))),bind(Y,$fot(op2(h2(e13),h4(e10)))),bind(Z,$fot(op2(h2(e13),h1(e13))))]]) ).
cnf(refute_4_395,plain,
( op2(h2(e13),h4(e10)) != op2(h2(e13),h1(e13))
| op2(h4(e11),h4(e10)) = op2(h2(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h2(e13),h4(e10))) )],[refute_4_393,refute_4_394]) ).
cnf(refute_4_396,plain,
op2(h4(e11),h4(e10)) = op2(h2(e13),h1(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e10)),op2(h2(e13),h1(e13))) )],[refute_4_389,refute_4_395]) ).
cnf(refute_4_397,plain,
( h4(op1(e10,e11)) != op2(h2(e13),h1(e13))
| op2(h4(e11),h4(e10)) != op2(h2(e13),h1(e13))
| h4(op1(e10,e11)) = op2(h4(e11),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e11)),op2(h4(e11),h4(e10))) ),[1],$fot(op2(h2(e13),h1(e13)))]]) ).
cnf(refute_4_398,plain,
( h4(op1(e10,e11)) != op2(h2(e13),h1(e13))
| h4(op1(e10,e11)) = op2(h4(e11),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e10)),op2(h2(e13),h1(e13))) )],[refute_4_396,refute_4_397]) ).
cnf(refute_4_399,plain,
( h4(op1(e10,e11)) != op2(h2(e13),h1(e13))
| h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h4(e11),h4(e10))) )],[refute_4_398,refute_4_145]) ).
cnf(refute_4_400,plain,
h4(op1(e10,e11)) != op2(h2(e13),h1(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e10)),op2(h4(e11),h4(e10))) )],[refute_4_399,refute_4_0]) ).
cnf(refute_4_401,plain,
op1(op1(e10,e12),e13) = op1(e10,op1(e12,e13)),
inference(canonicalize,[],[normalize_4_44]) ).
cnf(refute_4_402,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_4_403,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_4_404,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_4_402,refute_4_403]) ).
cnf(refute_4_405,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_4_123,refute_4_404]) ).
cnf(refute_4_406,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_4_407,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_4_405,refute_4_406]) ).
cnf(refute_4_408,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_4_69,refute_4_407]) ).
cnf(refute_4_409,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_4_410,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_4_408,refute_4_409]) ).
cnf(refute_4_411,plain,
op1(op1(e11,e13),e13) = op1(op1(e11,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e13),e13))]]) ).
cnf(refute_4_412,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_4_413,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e11,e13),e13)) )],[refute_4_411,refute_4_412]) ).
cnf(refute_4_414,plain,
op1(op1(e11,e13),e13) = op1(op1(e10,e12),e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_4_410,refute_4_413]) ).
cnf(refute_4_415,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) != op1(op1(e10,e12),e13)
| op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(op1(e11,e13),e13))),bind(Y,$fot(op1(op1(e10,e12),e13))),bind(Z,$fot(op1(e10,op1(e12,e13))))]]) ).
cnf(refute_4_416,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(op1(e10,e12),e13)) )],[refute_4_414,refute_4_415]) ).
cnf(refute_4_417,plain,
op1(op1(e11,e13),e13) = op1(e10,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_4_401,refute_4_416]) ).
cnf(refute_4_418,plain,
( op1(op1(e11,e13),e13) != op1(e10,op1(e12,e13))
| op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,op1(e12,e13)))]]) ).
cnf(refute_4_419,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e10,op1(e12,e13))) )],[refute_4_417,refute_4_418]) ).
cnf(refute_4_420,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e11,op1(e11,e12)) = op1(e10,e11) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e11,e10))),bind(Z,$fot(op1(e10,e11)))]]) ).
cnf(refute_4_421,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,op1(e11,e12)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_4_133,refute_4_420]) ).
cnf(refute_4_422,plain,
op1(e11,op1(e11,e12)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_4_139,refute_4_421]) ).
cnf(refute_4_423,plain,
( op1(e10,op1(e12,e13)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e10,e11)
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_4_424,plain,
( op1(e10,op1(e12,e13)) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e10,e11)) )],[refute_4_422,refute_4_423]) ).
cnf(refute_4_425,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(e10,op1(e12,e13)) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e11,op1(e11,e12))) )],[refute_4_419,refute_4_424]) ).
cnf(refute_4_426,plain,
op1(e10,op1(e12,e13)) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_4_60,refute_4_425]) ).
cnf(refute_4_427,plain,
( op1(e10,op1(e12,e13)) != op1(e10,e11)
| op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) ),[1],$fot(op1(e10,e11))]]) ).
cnf(refute_4_428,plain,
( op1(op1(e10,e12),e13) != op1(e10,op1(e12,e13))
| op1(op1(e10,e12),e13) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e13)),op1(e10,e11)) )],[refute_4_426,refute_4_427]) ).
cnf(refute_4_429,plain,
op1(op1(e10,e12),e13) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,op1(e12,e13))) )],[refute_4_401,refute_4_428]) ).
cnf(refute_4_430,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_4_431,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_4_432,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_4_430,refute_4_431]) ).
cnf(refute_4_433,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_10,refute_4_432]) ).
cnf(refute_4_434,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_4_435,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_4_433,refute_4_434]) ).
cnf(refute_4_436,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_4_17,refute_4_435]) ).
cnf(refute_4_437,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_4_438,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_4_436,refute_4_437]) ).
cnf(refute_4_439,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(canonicalize,[],[normalize_4_46]) ).
cnf(refute_4_440,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_4_48]) ).
cnf(refute_4_441,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_4_442,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_10,refute_4_441]) ).
cnf(refute_4_443,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_4_442,refute_4_440]) ).
cnf(refute_4_444,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_4_439,refute_4_443]) ).
cnf(refute_4_445,plain,
op1(e13,e11) != op1(e13,e13),
inference(canonicalize,[],[normalize_4_49]) ).
cnf(refute_4_446,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_4_447,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_4_410,refute_4_446]) ).
cnf(refute_4_448,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_4_86,refute_4_447]) ).
cnf(refute_4_449,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_4_450,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_4_448,refute_4_449]) ).
cnf(refute_4_451,plain,
( op1(e10,e12) != op1(e13,e13)
| op1(e13,e11) != op1(e10,e12)
| op1(e13,e11) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) ),[1],$fot(op1(e13,e13))]]) ).
cnf(refute_4_452,plain,
( op1(e10,e12) != op1(e13,e13)
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_4_450,refute_4_451]) ).
cnf(refute_4_453,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(e10)]]) ).
cnf(refute_4_454,plain,
( op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_4_123,refute_4_453]) ).
cnf(refute_4_455,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_4_37,refute_4_454]) ).
cnf(refute_4_456,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_4_457,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_4_455,refute_4_456]) ).
cnf(refute_4_458,plain,
( op1(e10,e12) != e10
| op1(e13,e13) != e10
| op1(e10,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e13)) ),[1],$fot(e10)]]) ).
cnf(refute_4_459,plain,
( op1(e10,e12) != e10
| op1(e10,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_4_457,refute_4_458]) ).
cnf(refute_4_460,plain,
( op1(e10,e12) != e10
| op1(e13,e11) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e13)) )],[refute_4_459,refute_4_452]) ).
cnf(refute_4_461,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e13,e13)) )],[refute_4_460,refute_4_445]) ).
cnf(refute_4_462,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_4_444,refute_4_461]) ).
cnf(refute_4_463,plain,
op1(e10,e12) != op1(e13,e12),
inference(canonicalize,[],[normalize_4_50]) ).
cnf(refute_4_464,plain,
( op1(e10,e12) != e11
| op1(e13,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e13,e12)) ),[1],$fot(e11)]]) ).
cnf(refute_4_465,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_4_23,refute_4_464]) ).
cnf(refute_4_466,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e12)) )],[refute_4_465,refute_4_463]) ).
cnf(refute_4_467,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_4_462,refute_4_466]) ).
cnf(refute_4_468,plain,
op1(op1(e10,e12),e13) = op1(op1(e10,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e13))]]) ).
cnf(refute_4_469,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_470,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e13) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(op1(e10,e12),e13)) )],[refute_4_468,refute_4_469]) ).
cnf(refute_4_471,plain,
op1(op1(e10,e12),e13) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_467,refute_4_470]) ).
cnf(refute_4_472,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) != op1(e12,e13)
| op1(op1(e10,e12),e13) = e11 ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(op1(e10,e12),e13))),bind(Y,$fot(op1(e12,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_4_473,plain,
( op1(e12,e13) != e11
| op1(op1(e10,e12),e13) = e11 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e12,e13)) )],[refute_4_471,refute_4_472]) ).
cnf(refute_4_474,plain,
op1(op1(e10,e12),e13) = e11,
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_4_438,refute_4_473]) ).
cnf(refute_4_475,plain,
( op1(op1(e10,e12),e13) != e11
| op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) ),[0],$fot(e11)]]) ).
cnf(refute_4_476,plain,
( op1(op1(e10,e12),e13) != op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),e11) )],[refute_4_474,refute_4_475]) ).
cnf(refute_4_477,plain,
e11 = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e13),op1(e10,e11)) )],[refute_4_429,refute_4_476]) ).
cnf(refute_4_478,plain,
( e11 != op1(e10,e11)
| op1(e10,e11) = e11 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e11)),bind(Y,$fot(op1(e10,e11)))]]) ).
cnf(refute_4_479,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e10,e11)) )],[refute_4_477,refute_4_478]) ).
cnf(refute_4_480,plain,
h4(op1(e10,e11)) = h4(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e11)))]]) ).
cnf(refute_4_481,plain,
( h4(op1(e10,e11)) != h4(op1(e10,e11))
| op1(e10,e11) != e11
| h4(op1(e10,e11)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_4_482,plain,
( op1(e10,e11) != e11
| h4(op1(e10,e11)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(op1(e10,e11))) )],[refute_4_480,refute_4_481]) ).
cnf(refute_4_483,plain,
h4(op1(e10,e11)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_4_479,refute_4_482]) ).
cnf(refute_4_484,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e11)) != h4(e11)
| h4(op1(e10,e11)) = h2(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(h4(op1(e10,e11)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_4_485,plain,
( h4(e11) != h2(e13)
| h4(op1(e10,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h4(e11)) )],[refute_4_483,refute_4_484]) ).
cnf(refute_4_486,plain,
h4(op1(e10,e11)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_4_372,refute_4_485]) ).
cnf(refute_4_487,plain,
( h2(e13) != op2(h2(e13),h1(e13))
| h4(op1(e10,e11)) != h2(e13)
| h4(op1(e10,e11)) = op2(h2(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e11)),h2(e13)) ),[1],$fot(op2(h2(e13),h1(e13)))]]) ).
cnf(refute_4_488,plain,
( h2(e13) != op2(h2(e13),h1(e13))
| h4(op1(e10,e11)) = op2(h2(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),h2(e13)) )],[refute_4_486,refute_4_487]) ).
cnf(refute_4_489,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_4_51]) ).
cnf(refute_4_490,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_4_52]) ).
cnf(refute_4_491,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e11) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_4_492,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_4_490,refute_4_491]) ).
cnf(refute_4_493,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_4_494,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_4_495,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_4_493,refute_4_494]) ).
cnf(refute_4_496,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_4_492,refute_4_495]) ).
cnf(refute_4_497,plain,
( h1(e10) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e11),e20)
| h1(e10) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_4_498,plain,
( h1(e10) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e11),e20)) )],[refute_4_496,refute_4_497]) ).
cnf(refute_4_499,plain,
h1(e10) = op2(h1(e11),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_4_489,refute_4_498]) ).
cnf(refute_4_500,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_4_53]) ).
cnf(refute_4_501,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_4_54]) ).
cnf(refute_4_502,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_4_503,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_504,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_4_502,refute_4_503]) ).
cnf(refute_4_505,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_272,refute_4_504]) ).
cnf(refute_4_506,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_4_507,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_4_505,refute_4_506]) ).
cnf(refute_4_508,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_4_509,plain,
( op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_4_492,refute_4_508]) ).
cnf(refute_4_510,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) )],[refute_4_507,refute_4_509]) ).
cnf(refute_4_511,plain,
op2(h1(e13),e20) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) )],[refute_4_501,refute_4_510]) ).
cnf(refute_4_512,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e13)))]]) ).
cnf(refute_4_513,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_514,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_4_512,refute_4_513]) ).
cnf(refute_4_515,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_514]) ).
cnf(refute_4_516,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_4_517,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_518,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_4_516,refute_4_517]) ).
cnf(refute_4_519,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_4_385,refute_4_518]) ).
cnf(refute_4_520,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),h4(e13)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_4_521,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_4_519,refute_4_520]) ).
cnf(refute_4_522,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),e20)) )],[refute_4_515,refute_4_521]) ).
cnf(refute_4_523,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_4_524,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),e20)) )],[refute_4_522,refute_4_523]) ).
cnf(refute_4_525,plain,
op2(h4(e10),h4(e13)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_4_511,refute_4_524]) ).
cnf(refute_4_526,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != h1(e11)
| h4(op1(e10,e13)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_4_527,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),h1(e11)) )],[refute_4_525,refute_4_526]) ).
cnf(refute_4_528,plain,
h4(op1(e10,e13)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_4_500,refute_4_527]) ).
cnf(refute_4_529,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(canonicalize,[],[normalize_4_55]) ).
cnf(refute_4_530,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_4_531,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_4_532,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_4_530,refute_4_531]) ).
cnf(refute_4_533,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_10,refute_4_532]) ).
cnf(refute_4_534,plain,
( op1(e10,op1(e12,e12)) != op1(e10,e13)
| op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_4_535,plain,
( op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_4_533,refute_4_534]) ).
cnf(refute_4_536,plain,
op1(op1(e10,e12),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) )],[refute_4_529,refute_4_535]) ).
cnf(refute_4_537,plain,
op1(op1(e10,e12),e12) = op1(op1(e10,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e12))]]) ).
cnf(refute_4_538,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) != op1(op1(e10,e12),e12)
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_539,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) )],[refute_4_537,refute_4_538]) ).
cnf(refute_4_540,plain,
op1(op1(e10,e12),e12) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_467,refute_4_539]) ).
cnf(refute_4_541,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) != op1(e12,e12)
| op1(op1(e10,e12),e12) = e13 ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op1(op1(e10,e12),e12))),bind(Y,$fot(op1(e12,e12))),bind(Z,$fot(e13))]]) ).
cnf(refute_4_542,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e12,e12)) )],[refute_4_540,refute_4_541]) ).
cnf(refute_4_543,plain,
op1(op1(e10,e12),e12) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_4_10,refute_4_542]) ).
cnf(refute_4_544,plain,
( op1(op1(e10,e12),e12) != e13
| op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) ),[0],$fot(e13)]]) ).
cnf(refute_4_545,plain,
( op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),e13) )],[refute_4_543,refute_4_544]) ).
cnf(refute_4_546,plain,
e13 = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) )],[refute_4_536,refute_4_545]) ).
cnf(refute_4_547,plain,
( e13 != op1(e10,e13)
| op1(e10,e13) = e13 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e13)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_4_548,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e10,e13)) )],[refute_4_546,refute_4_547]) ).
cnf(refute_4_549,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_4_550,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e13
| h4(op1(e10,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_4_551,plain,
( op1(e10,e13) != e13
| h4(op1(e10,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_4_549,refute_4_550]) ).
cnf(refute_4_552,plain,
h4(op1(e10,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_4_548,refute_4_551]) ).
cnf(refute_4_553,plain,
( h4(e13) != e20
| h4(op1(e10,e13)) != h4(e13)
| h4(op1(e10,e13)) = e20 ),
inference(subst,[],[refute_4_45:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_4_554,plain,
( h4(e13) != e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e13)) )],[refute_4_552,refute_4_553]) ).
cnf(refute_4_555,plain,
h4(op1(e10,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_554]) ).
cnf(refute_4_556,plain,
( h4(op1(e10,e13)) != e20
| h4(op1(e10,e13)) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_4_557,plain,
( h4(op1(e10,e13)) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e20) )],[refute_4_555,refute_4_556]) ).
cnf(refute_4_558,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h1(e11)) )],[refute_4_528,refute_4_557]) ).
cnf(refute_4_559,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_4_560,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_4_558,refute_4_559]) ).
cnf(refute_4_561,plain,
op2(h1(e11),e20) = op2(h1(e11),e20),
introduced(tautology,[refl,[$fot(op2(h1(e11),e20))]]) ).
cnf(refute_4_562,plain,
( h1(e11) != e20
| op2(h1(e11),e20) != op2(h1(e11),e20)
| op2(h1(e11),e20) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_4_563,plain,
( h1(e11) != e20
| op2(h1(e11),e20) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) )],[refute_4_561,refute_4_562]) ).
cnf(refute_4_564,plain,
op2(h1(e11),e20) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_4_560,refute_4_563]) ).
cnf(refute_4_565,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e11),e20) != op2(e20,e20)
| op2(h1(e11),e20) = h1(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h1(e11),e20))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_4_566,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e11),e20) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(e20,e20)) )],[refute_4_564,refute_4_565]) ).
cnf(refute_4_567,plain,
op2(h1(e11),e20) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_272,refute_4_566]) ).
cnf(refute_4_568,plain,
( h1(e10) != op2(h1(e11),e20)
| op2(h1(e11),e20) != h1(e13)
| h1(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e13)) ),[0],$fot(op2(h1(e11),e20))]]) ).
cnf(refute_4_569,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),h1(e13)) )],[refute_4_567,refute_4_568]) ).
cnf(refute_4_570,plain,
h1(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_4_499,refute_4_569]) ).
cnf(refute_4_571,plain,
( h1(e10) != h1(e13)
| h1(e13) = h1(e10) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_4_572,plain,
h1(e13) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),h1(e13)) )],[refute_4_570,refute_4_571]) ).
cnf(refute_4_573,plain,
op2(h2(e13),h1(e13)) = op2(h2(e13),h1(e13)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h1(e13)))]]) ).
cnf(refute_4_574,plain,
( h1(e13) != h1(e10)
| op2(h2(e13),h1(e13)) != op2(h2(e13),h1(e13))
| op2(h2(e13),h1(e13)) = op2(h2(e13),h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h1(e13)),op2(h2(e13),h1(e13))) ),[1,1],$fot(h1(e10))]]) ).
cnf(refute_4_575,plain,
( h1(e13) != h1(e10)
| op2(h2(e13),h1(e13)) = op2(h2(e13),h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h1(e13)),op2(h2(e13),h1(e13))) )],[refute_4_573,refute_4_574]) ).
cnf(refute_4_576,plain,
op2(h2(e13),h1(e13)) = op2(h2(e13),h1(e10)),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_4_572,refute_4_575]) ).
cnf(refute_4_577,plain,
( h2(e13) != op2(h2(e13),h1(e10))
| op2(h2(e13),h1(e13)) != op2(h2(e13),h1(e10))
| h2(e13) = op2(h2(e13),h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h2(e13),h1(e13))) ),[1],$fot(op2(h2(e13),h1(e10)))]]) ).
cnf(refute_4_578,plain,
( h2(e13) != op2(h2(e13),h1(e10))
| h2(e13) = op2(h2(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h1(e13)),op2(h2(e13),h1(e10))) )],[refute_4_576,refute_4_577]) ).
cnf(refute_4_579,plain,
( h2(e13) != op2(h2(e13),h1(e10))
| h4(op1(e10,e11)) = op2(h2(e13),h1(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h2(e13),h1(e13))) )],[refute_4_578,refute_4_488]) ).
cnf(refute_4_580,plain,
h2(e13) != op2(h2(e13),h1(e10)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e11)),op2(h2(e13),h1(e13))) )],[refute_4_579,refute_4_400]) ).
cnf(refute_4_581,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_4_56]) ).
cnf(refute_4_582,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_4_583,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_584,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_4_582,refute_4_583]) ).
cnf(refute_4_585,plain,
op2(op2(e20,e20),e23) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_4_272,refute_4_584]) ).
cnf(refute_4_586,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_4_587,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h1(e13),e23)) )],[refute_4_585,refute_4_586]) ).
cnf(refute_4_588,plain,
op2(h1(e13),e23) = op2(e20,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_4_581,refute_4_587]) ).
cnf(refute_4_589,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_4_590,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_4_591,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_4_589,refute_4_590]) ).
cnf(refute_4_592,plain,
op2(e20,op2(e20,e23)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_4_333,refute_4_591]) ).
cnf(refute_4_593,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_4_594,plain,
( op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h2(e13))) )],[refute_4_592,refute_4_593]) ).
cnf(refute_4_595,plain,
op2(h1(e13),e23) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) )],[refute_4_588,refute_4_594]) ).
cnf(refute_4_596,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_4_57]) ).
cnf(refute_4_597,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_4_58]) ).
cnf(refute_4_598,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_4_599,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_600,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_4_598,refute_4_599]) ).
cnf(refute_4_601,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_4_597,refute_4_600]) ).
cnf(refute_4_602,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_603,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_4_604,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_4_602,refute_4_603]) ).
cnf(refute_4_605,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_4_385,refute_4_604]) ).
cnf(refute_4_606,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_4_607,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_4_605,refute_4_606]) ).
cnf(refute_4_608,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_4_601,refute_4_607]) ).
cnf(refute_4_609,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),e23))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_4_610,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_4_608,refute_4_609]) ).
cnf(refute_4_611,plain,
op2(h4(e10),h4(e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_4_595,refute_4_610]) ).
cnf(refute_4_612,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_4_613,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h2(e13))) )],[refute_4_611,refute_4_612]) ).
cnf(refute_4_614,plain,
h4(op1(e10,e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_4_596,refute_4_613]) ).
cnf(refute_4_615,plain,
( h4(op1(e10,e12)) != op2(e20,h2(e13))
| op2(e20,h2(e13)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_4_8:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_4_616,plain,
op2(e20,h2(e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) )],[refute_4_614,refute_4_615]) ).
cnf(refute_4_617,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h1(e13),e23) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) ),[1],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_4_618,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h1(e13),e23) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),h4(op1(e10,e12))) )],[refute_4_616,refute_4_617]) ).
cnf(refute_4_619,plain,
op2(h1(e13),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_4_595,refute_4_618]) ).
cnf(refute_4_620,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_4_621,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_4_622,plain,
( op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_4_620,refute_4_621]) ).
cnf(refute_4_623,plain,
h4(op1(e10,e12)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_4_467,refute_4_622]) ).
cnf(refute_4_624,plain,
( h4(e12) != e23
| h4(op1(e10,e12)) != h4(e12)
| h4(op1(e10,e12)) = e23 ),
inference(subst,[],[refute_4_45:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_4_625,plain,
( h4(e12) != e23
| h4(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e12)) )],[refute_4_623,refute_4_624]) ).
cnf(refute_4_626,plain,
h4(op1(e10,e12)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_4_597,refute_4_625]) ).
cnf(refute_4_627,plain,
( h4(op1(e10,e12)) != e23
| op2(h1(e13),e23) != h4(op1(e10,e12))
| op2(h1(e13),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),h4(op1(e10,e12))) ),[1],$fot(e23)]]) ).
cnf(refute_4_628,plain,
( op2(h1(e13),e23) != h4(op1(e10,e12))
| op2(h1(e13),e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e23) )],[refute_4_626,refute_4_627]) ).
cnf(refute_4_629,plain,
op2(h1(e13),e23) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),h4(op1(e10,e12))) )],[refute_4_619,refute_4_628]) ).
cnf(refute_4_630,plain,
op2(h1(e13),e23) = op2(h1(e13),e23),
introduced(tautology,[refl,[$fot(op2(h1(e13),e23))]]) ).
cnf(refute_4_631,plain,
( h1(e13) != h1(e10)
| op2(h1(e13),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(h1(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_4_632,plain,
( h1(e13) != h1(e10)
| op2(h1(e13),e23) = op2(h1(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) )],[refute_4_630,refute_4_631]) ).
cnf(refute_4_633,plain,
op2(h1(e13),e23) = op2(h1(e10),e23),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_4_572,refute_4_632]) ).
cnf(refute_4_634,plain,
( op2(h1(e13),e23) != e23
| op2(h1(e13),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),e23) ),[0],$fot(op2(h1(e10),e23))]]) ).
cnf(refute_4_635,plain,
( op2(h1(e13),e23) != e23
| op2(h1(e10),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e10),e23)) )],[refute_4_633,refute_4_634]) ).
cnf(refute_4_636,plain,
op2(h1(e10),e23) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),e23) )],[refute_4_629,refute_4_635]) ).
cnf(refute_4_637,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(canonicalize,[],[normalize_4_59]) ).
cnf(refute_4_638,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_4_639,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_4_261,refute_4_638]) ).
cnf(refute_4_640,plain,
op2(op2(e21,e23),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_4_251,refute_4_639]) ).
cnf(refute_4_641,plain,
op2(op2(e21,e23),e21) = op2(op2(e21,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e21))]]) ).
cnf(refute_4_642,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) != op2(op2(e21,e23),e21)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_4_643,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) )],[refute_4_641,refute_4_642]) ).
cnf(refute_4_644,plain,
op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_4_323,refute_4_643]) ).
cnf(refute_4_645,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(op2(e20,e22),e21)
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e21,e23),e21))),bind(Y,$fot(op2(op2(e20,e22),e21))),bind(Z,$fot(op2(e20,op2(e22,e21))))]]) ).
cnf(refute_4_646,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e20,e22),e21)) )],[refute_4_644,refute_4_645]) ).
cnf(refute_4_647,plain,
op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_4_637,refute_4_646]) ).
cnf(refute_4_648,plain,
( op2(op2(e21,e23),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) ),[0],$fot(op2(e20,op2(e22,e21)))]]) ).
cnf(refute_4_649,plain,
( op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e20,op2(e22,e21))) )],[refute_4_647,refute_4_648]) ).
cnf(refute_4_650,plain,
op2(e20,op2(e22,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) )],[refute_4_640,refute_4_649]) ).
cnf(refute_4_651,plain,
( op2(e20,op2(e22,e21)) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_4_652,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e21)),op2(e23,h2(e13))) )],[refute_4_650,refute_4_651]) ).
cnf(refute_4_653,plain,
op2(op2(e20,e22),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_4_637,refute_4_652]) ).
cnf(refute_4_654,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_4_655,plain,
( op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_4_343,refute_4_654]) ).
cnf(refute_4_656,plain,
op2(op2(e20,e22),e21) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) )],[refute_4_653,refute_4_655]) ).
cnf(refute_4_657,plain,
( h1(e13) != h1(e10)
| op2(op2(e20,e22),e21) != h1(e13)
| op2(op2(e20,e22),e21) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) ),[1],$fot(h1(e10))]]) ).
cnf(refute_4_658,plain,
( op2(op2(e20,e22),e21) != h1(e13)
| op2(op2(e20,e22),e21) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_4_572,refute_4_657]) ).
cnf(refute_4_659,plain,
op2(op2(e20,e22),e21) = h1(e10),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) )],[refute_4_656,refute_4_658]) ).
cnf(refute_4_660,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_4_60]) ).
cnf(refute_4_661,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_4_662,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_663,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_4_661,refute_4_662]) ).
cnf(refute_4_664,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_173,refute_4_663]) ).
cnf(refute_4_665,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_4_666,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_4_664,refute_4_665]) ).
cnf(refute_4_667,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_204,refute_4_666]) ).
cnf(refute_4_668,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_4_669,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_4_667,refute_4_668]) ).
cnf(refute_4_670,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_4_660,refute_4_669]) ).
cnf(refute_4_671,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_4_672,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_671]) ).
cnf(refute_4_673,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_4_670,refute_4_672]) ).
cnf(refute_4_674,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_4_675,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_4_676,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_4_674,refute_4_675]) ).
cnf(refute_4_677,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_173,refute_4_676]) ).
cnf(refute_4_678,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_4_679,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_4_677,refute_4_678]) ).
cnf(refute_4_680,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_4_189,refute_4_679]) ).
cnf(refute_4_681,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_4_682,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_4_680,refute_4_681]) ).
cnf(refute_4_683,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_4_684,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_685,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_4_683,refute_4_684]) ).
cnf(refute_4_686,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_4_682,refute_4_685]) ).
cnf(refute_4_687,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_4_688,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_4_686,refute_4_687]) ).
cnf(refute_4_689,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_4_673,refute_4_688]) ).
cnf(refute_4_690,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_4_691,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_4_689,refute_4_690]) ).
cnf(refute_4_692,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_4_62]) ).
cnf(refute_4_693,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_4_64]) ).
cnf(refute_4_694,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_4_695,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_4_173,refute_4_694]) ).
cnf(refute_4_696,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_4_695,refute_4_693]) ).
cnf(refute_4_697,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_4_692,refute_4_696]) ).
cnf(refute_4_698,plain,
op2(e21,e23) != op2(e23,e23),
inference(canonicalize,[],[normalize_4_65]) ).
cnf(refute_4_699,plain,
( op2(e21,e23) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_700,plain,
( op2(e21,e23) != h4(e13)
| op2(e21,e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_4_204,refute_4_699]) ).
cnf(refute_4_701,plain,
op2(e21,e23) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e23)) )],[refute_4_700,refute_4_698]) ).
cnf(refute_4_702,plain,
( op2(e20,e22) != h4(e13)
| op2(e21,e23) != op2(e20,e22)
| op2(e21,e23) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_4_703,plain,
( op2(e20,e22) != h4(e13)
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_4_323,refute_4_702]) ).
cnf(refute_4_704,plain,
( h4(e13) != e20
| op2(e20,e22) != e20
| op2(e20,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_4_705,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_704]) ).
cnf(refute_4_706,plain,
( op2(e20,e22) != e20
| op2(e21,e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h4(e13)) )],[refute_4_705,refute_4_703]) ).
cnf(refute_4_707,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e21,e23),h4(e13)) )],[refute_4_706,refute_4_701]) ).
cnf(refute_4_708,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_4_697,refute_4_707]) ).
cnf(refute_4_709,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_4_66]) ).
cnf(refute_4_710,plain,
( op2(e20,e22) != e21
| op2(e23,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_4_711,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_4_195,refute_4_710]) ).
cnf(refute_4_712,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_4_711,refute_4_709]) ).
cnf(refute_4_713,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_4_708,refute_4_712]) ).
cnf(refute_4_714,plain,
op2(op2(e20,e22),e21) = op2(op2(e20,e22),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e21))]]) ).
cnf(refute_4_715,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) != op2(op2(e20,e22),e21)
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_4_716,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) )],[refute_4_714,refute_4_715]) ).
cnf(refute_4_717,plain,
op2(op2(e20,e22),e21) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_4_713,refute_4_716]) ).
cnf(refute_4_718,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) != op2(e22,e21)
| op2(op2(e20,e22),e21) = e20 ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e20,e22),e21))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_4_719,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e22,e21)) )],[refute_4_717,refute_4_718]) ).
cnf(refute_4_720,plain,
op2(op2(e20,e22),e21) = e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_4_691,refute_4_719]) ).
cnf(refute_4_721,plain,
( op2(op2(e20,e22),e21) != e20
| op2(op2(e20,e22),e21) != h1(e10)
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_4_722,plain,
( op2(op2(e20,e22),e21) != h1(e10)
| e20 = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),e20) )],[refute_4_720,refute_4_721]) ).
cnf(refute_4_723,plain,
e20 = h1(e10),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e10)) )],[refute_4_659,refute_4_722]) ).
cnf(refute_4_724,plain,
( e20 != h1(e10)
| h1(e10) = e20 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e20)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_4_725,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_4_723,refute_4_724]) ).
cnf(refute_4_726,plain,
op2(h1(e10),e23) = op2(h1(e10),e23),
introduced(tautology,[refl,[$fot(op2(h1(e10),e23))]]) ).
cnf(refute_4_727,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_728,plain,
( h1(e10) != e20
| op2(h1(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) )],[refute_4_726,refute_4_727]) ).
cnf(refute_4_729,plain,
op2(h1(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_725,refute_4_728]) ).
cnf(refute_4_730,plain,
( op2(e20,e23) != h2(e13)
| op2(h1(e10),e23) != op2(e20,e23)
| op2(h1(e10),e23) = h2(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h1(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_4_731,plain,
( op2(e20,e23) != h2(e13)
| op2(h1(e10),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e20,e23)) )],[refute_4_729,refute_4_730]) ).
cnf(refute_4_732,plain,
op2(h1(e10),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_4_333,refute_4_731]) ).
cnf(refute_4_733,plain,
( op2(h1(e10),e23) != e23
| op2(h1(e10),e23) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_734,plain,
( op2(h1(e10),e23) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),h2(e13)) )],[refute_4_732,refute_4_733]) ).
cnf(refute_4_735,plain,
h2(e13) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),e23) )],[refute_4_636,refute_4_734]) ).
cnf(refute_4_736,plain,
( e23 != op2(h2(e13),h1(e10))
| h2(e13) != e23
| h2(e13) = op2(h2(e13),h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),e23) ),[1],$fot(op2(h2(e13),h1(e10)))]]) ).
cnf(refute_4_737,plain,
( e23 != op2(h2(e13),h1(e10))
| h2(e13) = op2(h2(e13),h1(e10)) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_735,refute_4_736]) ).
cnf(refute_4_738,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(canonicalize,[],[normalize_4_67]) ).
cnf(refute_4_739,plain,
op2(e23,op2(e21,e22)) = op2(e23,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e22)))]]) ).
cnf(refute_4_740,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) != op2(e23,op2(e21,e22))
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_4_741,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) )],[refute_4_739,refute_4_740]) ).
cnf(refute_4_742,plain,
op2(e23,op2(e21,e22)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_4_215,refute_4_741]) ).
cnf(refute_4_743,plain,
( op2(e23,op2(e21,e22)) != op2(e23,h4(e13))
| op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) ),[1],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_4_744,plain,
( op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,h4(e13))) )],[refute_4_742,refute_4_743]) ).
cnf(refute_4_745,plain,
op2(op2(e23,e21),e22) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) )],[refute_4_738,refute_4_744]) ).
cnf(refute_4_746,plain,
op2(op2(e23,e21),e22) = op2(op2(e23,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e22))]]) ).
cnf(refute_4_747,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) != op2(op2(e23,e21),e22)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_4_748,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) )],[refute_4_746,refute_4_747]) ).
cnf(refute_4_749,plain,
op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_4_241,refute_4_748]) ).
cnf(refute_4_750,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(op2(e21,e23),e22)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(op2(e23,e21),e22))),bind(Y,$fot(op2(op2(e21,e23),e22))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_4_751,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e21,e23),e22)) )],[refute_4_749,refute_4_750]) ).
cnf(refute_4_752,plain,
op2(op2(e23,e21),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_4_306,refute_4_751]) ).
cnf(refute_4_753,plain,
( op2(op2(e23,e21),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_4_754,plain,
( op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),h2(e13)) )],[refute_4_752,refute_4_753]) ).
cnf(refute_4_755,plain,
h2(e13) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) )],[refute_4_745,refute_4_754]) ).
cnf(refute_4_756,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_4_757,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_758,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_4_756,refute_4_757]) ).
cnf(refute_4_759,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_4_285,refute_4_758]) ).
cnf(refute_4_760,plain,
( h2(e13) != op2(e23,h4(e13))
| op2(e23,h4(e13)) != op2(e23,e20)
| h2(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e20)) ),[0],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_4_761,plain,
( h2(e13) != op2(e23,h4(e13))
| h2(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_4_759,refute_4_760]) ).
cnf(refute_4_762,plain,
h2(e13) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e13))) )],[refute_4_755,refute_4_761]) ).
cnf(refute_4_763,plain,
( h2(e13) != e23
| h2(e13) != op2(e23,e20)
| e23 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e13),op2(e23,e20)) ),[0],$fot(e23)]]) ).
cnf(refute_4_764,plain,
( h2(e13) != op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_735,refute_4_763]) ).
cnf(refute_4_765,plain,
e23 = op2(e23,e20),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e20)) )],[refute_4_762,refute_4_764]) ).
cnf(refute_4_766,plain,
( e23 != op2(e23,e20)
| op2(e23,e20) = e23 ),
inference(subst,[],[refute_4_8:[bind(X,$fot(e23)),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_4_767,plain,
op2(e23,e20) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e23,e20)) )],[refute_4_765,refute_4_766]) ).
cnf(refute_4_768,plain,
op2(e23,h1(e10)) = op2(e23,h1(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h1(e10)))]]) ).
cnf(refute_4_769,plain,
( h1(e10) != e20
| op2(e23,h1(e10)) != op2(e23,h1(e10))
| op2(e23,h1(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h1(e10)),op2(e23,h1(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_4_770,plain,
( h1(e10) != e20
| op2(e23,h1(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h1(e10)),op2(e23,h1(e10))) )],[refute_4_768,refute_4_769]) ).
cnf(refute_4_771,plain,
op2(e23,h1(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_4_725,refute_4_770]) ).
cnf(refute_4_772,plain,
op2(h2(e13),h1(e10)) = op2(h2(e13),h1(e10)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h1(e10)))]]) ).
cnf(refute_4_773,plain,
( h2(e13) != e23
| op2(h2(e13),h1(e10)) != op2(h2(e13),h1(e10))
| op2(h2(e13),h1(e10)) = op2(e23,h1(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h1(e10)),op2(h2(e13),h1(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_4_774,plain,
( h2(e13) != e23
| op2(h2(e13),h1(e10)) = op2(e23,h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h1(e10)),op2(h2(e13),h1(e10))) )],[refute_4_772,refute_4_773]) ).
cnf(refute_4_775,plain,
op2(h2(e13),h1(e10)) = op2(e23,h1(e10)),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_4_735,refute_4_774]) ).
cnf(refute_4_776,plain,
( op2(e23,h1(e10)) != op2(e23,e20)
| op2(h2(e13),h1(e10)) != op2(e23,h1(e10))
| op2(h2(e13),h1(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h2(e13),h1(e10)))),bind(Y,$fot(op2(e23,h1(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_4_777,plain,
( op2(e23,h1(e10)) != op2(e23,e20)
| op2(h2(e13),h1(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h1(e10)),op2(e23,h1(e10))) )],[refute_4_775,refute_4_776]) ).
cnf(refute_4_778,plain,
op2(h2(e13),h1(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h1(e10)),op2(e23,e20)) )],[refute_4_771,refute_4_777]) ).
cnf(refute_4_779,plain,
( op2(e23,e20) != e23
| op2(h2(e13),h1(e10)) != op2(e23,e20)
| op2(h2(e13),h1(e10)) = e23 ),
inference(subst,[],[refute_4_45:[bind(X,$fot(op2(h2(e13),h1(e10)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(e23))]]) ).
cnf(refute_4_780,plain,
( op2(e23,e20) != e23
| op2(h2(e13),h1(e10)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h1(e10)),op2(e23,e20)) )],[refute_4_778,refute_4_779]) ).
cnf(refute_4_781,plain,
op2(h2(e13),h1(e10)) = e23,
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_4_767,refute_4_780]) ).
cnf(refute_4_782,plain,
( e23 != e23
| op2(h2(e13),h1(e10)) != e23
| e23 = op2(h2(e13),h1(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h2(e13),h1(e10))) ),[1],$fot(e23)]]) ).
cnf(refute_4_783,plain,
( e23 != e23
| e23 = op2(h2(e13),h1(e10)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h1(e10)),e23) )],[refute_4_781,refute_4_782]) ).
cnf(refute_4_784,plain,
( e23 != e23
| h2(e13) = op2(h2(e13),h1(e10)) ),
inference(resolve,[$cnf( $equal(e23,op2(h2(e13),h1(e10))) )],[refute_4_783,refute_4_737]) ).
cnf(refute_4_785,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(h2(e13),op2(h2(e13),h1(e10))) )],[refute_4_784,refute_4_580]) ).
cnf(refute_4_786,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_4_787,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_4_786,refute_4_785]) ).
fof(negate_5_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(negate,[],[subgoal_5]) ).
fof(normalize_5_0,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_5_0]) ).
fof(normalize_5_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_5_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_5_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_5_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_5_5]) ).
fof(normalize_5_7,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_5_0,normalize_5_2,normalize_5_4,normalize_5_6]) ).
fof(normalize_5_8,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_9,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_10,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_11,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_12,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_13,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_14,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_5_15,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_5_14]) ).
fof(normalize_5_16,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_17,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_18,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_5_14]) ).
fof(normalize_5_19,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_5_14]) ).
fof(normalize_5_20,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_5_21,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_22,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_23,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_24,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_5_3]) ).
fof(normalize_5_25,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_26,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_27,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_28,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_29,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_30,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_31,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_32,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_33,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_34,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_5_35,plain,
op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_36,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_37,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_38,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_39,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_5_40,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_5_39]) ).
fof(normalize_5_41,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_5_39]) ).
fof(normalize_5_42,plain,
op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_43,plain,
op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_44,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_45,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_46,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_5_39]) ).
fof(normalize_5_47,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_48,plain,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_5_49,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(conjunct,[],[normalize_5_48]) ).
fof(normalize_5_50,plain,
( op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
inference(canonicalize,[],[ax17]) ).
fof(normalize_5_51,plain,
op1(e11,e12) != op1(e11,e13),
inference(conjunct,[],[normalize_5_50]) ).
fof(normalize_5_52,plain,
op1(e12,e10) != op1(e12,e13),
inference(conjunct,[],[normalize_5_50]) ).
fof(normalize_5_53,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_54,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_5_34]) ).
fof(normalize_5_55,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_5_50]) ).
fof(normalize_5_56,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_57,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_5_7]) ).
fof(normalize_5_58,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_5_20]) ).
fof(normalize_5_59,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(conjunct,[],[normalize_5_1]) ).
fof(normalize_5_60,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_61,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_5_10]) ).
fof(normalize_5_62,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_63,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_5_62]) ).
fof(normalize_5_64,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_65,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_5_64]) ).
fof(normalize_5_66,plain,
op2(e22,e21) != op2(e23,e21),
inference(conjunct,[],[normalize_5_64]) ).
fof(normalize_5_67,plain,
op2(e22,e20) != op2(e22,e23),
inference(conjunct,[],[normalize_5_64]) ).
fof(normalize_5_68,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(conjunct,[],[normalize_5_10]) ).
cnf(refute_5_0,plain,
h4(op1(e11,e11)) != op2(h4(e11),h4(e11)),
inference(canonicalize,[],[normalize_5_8]) ).
cnf(refute_5_1,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_5_9]) ).
cnf(refute_5_2,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_5_11]) ).
cnf(refute_5_3,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_5_12]) ).
cnf(refute_5_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_5_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_5_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_5_4,refute_5_5]) ).
cnf(refute_5_7,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_5_8,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_5_3,refute_5_7]) ).
cnf(refute_5_9,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_5_10,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_5_11,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_5_9,refute_5_10]) ).
cnf(refute_5_12,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_8,refute_5_11]) ).
cnf(refute_5_13,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_5_14,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_5_12,refute_5_13]) ).
cnf(refute_5_15,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_5_13]) ).
cnf(refute_5_16,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_5_17,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_5_15,refute_5_16]) ).
cnf(refute_5_18,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_5_19,plain,
( op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_5_17,refute_5_18]) ).
cnf(refute_5_20,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) )],[refute_5_14,refute_5_19]) ).
cnf(refute_5_21,plain,
op2(h1(e13),e20) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) )],[refute_5_2,refute_5_20]) ).
cnf(refute_5_22,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_5_15]) ).
cnf(refute_5_23,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_16]) ).
cnf(refute_5_24,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_17]) ).
cnf(refute_5_25,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_5_18]) ).
cnf(refute_5_26,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_5_27,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_5_25,refute_5_26]) ).
cnf(refute_5_28,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_5_29,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_5_28,refute_5_29]) ).
cnf(refute_5_31,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_27,refute_5_30]) ).
cnf(refute_5_32,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_5_33,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_5_31,refute_5_32]) ).
cnf(refute_5_34,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_19]) ).
cnf(refute_5_35,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_5_36,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_5_34,refute_5_35]) ).
cnf(refute_5_37,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_5_38,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_5_36,refute_5_37]) ).
cnf(refute_5_39,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_5_33,refute_5_38]) ).
cnf(refute_5_40,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_5_24,refute_5_39]) ).
cnf(refute_5_41,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_5_42,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_43,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_5_41,refute_5_42]) ).
cnf(refute_5_44,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_5_40,refute_5_43]) ).
cnf(refute_5_45,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_5_46,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_5_44,refute_5_45]) ).
cnf(refute_5_47,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_5_21]) ).
cnf(refute_5_48,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_49,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_5_47,refute_5_48]) ).
cnf(refute_5_50,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_5_51,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_52,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_5_50,refute_5_51]) ).
cnf(refute_5_53,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_27,refute_5_52]) ).
cnf(refute_5_54,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_5_55,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_5_6,refute_5_54]) ).
cnf(refute_5_56,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_5_57,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_5_53,refute_5_56]) ).
cnf(refute_5_58,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_49,refute_5_57]) ).
cnf(refute_5_59,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_5_60,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_5_58,refute_5_59]) ).
cnf(refute_5_61,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_5_46,refute_5_60]) ).
cnf(refute_5_62,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_5_23,refute_5_61]) ).
cnf(refute_5_63,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_5_64,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_5_65,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_5_63,refute_5_64]) ).
cnf(refute_5_66,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_5_36,refute_5_65]) ).
cnf(refute_5_67,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_5_68,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_5_66,refute_5_67]) ).
cnf(refute_5_69,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_5_62,refute_5_68]) ).
cnf(refute_5_70,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_5_71,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_5_69,refute_5_70]) ).
cnf(refute_5_72,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_5_22,refute_5_71]) ).
cnf(refute_5_73,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_5_74,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_5_72,refute_5_73]) ).
cnf(refute_5_75,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e13)))]]) ).
cnf(refute_5_76,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_77,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_5_75,refute_5_76]) ).
cnf(refute_5_78,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_77]) ).
cnf(refute_5_79,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_5_22]) ).
cnf(refute_5_80,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_5_23]) ).
cnf(refute_5_81,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_5_24]) ).
cnf(refute_5_82,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_5_83,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_5_81,refute_5_82]) ).
cnf(refute_5_84,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_5_85,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_5_86,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_5_84,refute_5_85]) ).
cnf(refute_5_87,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_83,refute_5_86]) ).
cnf(refute_5_88,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_5_89,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_5_87,refute_5_88]) ).
cnf(refute_5_90,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_5_80,refute_5_89]) ).
cnf(refute_5_91,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_5_25]) ).
cnf(refute_5_92,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_5_26]) ).
cnf(refute_5_93,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_5_94,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_5_93,refute_5_94]) ).
cnf(refute_5_96,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_83,refute_5_95]) ).
cnf(refute_5_97,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_5_98,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_5_96,refute_5_97]) ).
cnf(refute_5_99,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_5_92,refute_5_98]) ).
cnf(refute_5_100,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_5_101,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_5_99,refute_5_100]) ).
cnf(refute_5_102,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_5_27]) ).
cnf(refute_5_103,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_28]) ).
cnf(refute_5_104,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_5_105,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_106,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_5_104,refute_5_105]) ).
cnf(refute_5_107,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_27,refute_5_106]) ).
cnf(refute_5_108,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_5_109,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_5_107,refute_5_108]) ).
cnf(refute_5_110,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_5_103,refute_5_109]) ).
cnf(refute_5_111,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_5_112,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_5_113,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_5_111,refute_5_112]) ).
cnf(refute_5_114,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_5_62,refute_5_113]) ).
cnf(refute_5_115,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_5_116,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_5_114,refute_5_115]) ).
cnf(refute_5_117,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_5_110,refute_5_116]) ).
cnf(refute_5_118,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_5_119,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_5_120,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_5_118,refute_5_119]) ).
cnf(refute_5_121,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_49,refute_5_120]) ).
cnf(refute_5_122,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_5_123,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_5_121,refute_5_122]) ).
cnf(refute_5_124,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_5_117,refute_5_123]) ).
cnf(refute_5_125,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_5_126,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_5_124,refute_5_125]) ).
cnf(refute_5_127,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_5_128,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_129,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_5_127,refute_5_128]) ).
cnf(refute_5_130,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_5_40,refute_5_129]) ).
cnf(refute_5_131,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_5_132,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_5_130,refute_5_131]) ).
cnf(refute_5_133,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_5_126,refute_5_132]) ).
cnf(refute_5_134,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_5_102,refute_5_133]) ).
cnf(refute_5_135,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_5_136,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_5_134,refute_5_135]) ).
cnf(refute_5_137,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_5_138,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_5_139,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_5_137,refute_5_138]) ).
cnf(refute_5_140,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_5_136,refute_5_139]) ).
cnf(refute_5_141,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_5_142,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_5_140,refute_5_141]) ).
cnf(refute_5_143,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_5_101,refute_5_142]) ).
cnf(refute_5_144,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_5_145,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_5_143,refute_5_144]) ).
cnf(refute_5_146,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_5_91,refute_5_145]) ).
cnf(refute_5_147,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_5_148,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_5_149,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_5_147,refute_5_148]) ).
cnf(refute_5_150,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_5_136,refute_5_149]) ).
cnf(refute_5_151,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_5_152,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_5_150,refute_5_151]) ).
cnf(refute_5_153,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_5_146,refute_5_152]) ).
cnf(refute_5_154,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_5_155,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_5_153,refute_5_154]) ).
cnf(refute_5_156,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_5_90,refute_5_155]) ).
cnf(refute_5_157,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_29]) ).
cnf(refute_5_158,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_5_159,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_5_160,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_5_158,refute_5_159]) ).
cnf(refute_5_161,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_49,refute_5_160]) ).
cnf(refute_5_162,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_5_163,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_5_161,refute_5_162]) ).
cnf(refute_5_164,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_5_157,refute_5_163]) ).
cnf(refute_5_165,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_5_166,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_167,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_5_165,refute_5_166]) ).
cnf(refute_5_168,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_167]) ).
cnf(refute_5_169,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_5_170,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_5_168,refute_5_169]) ).
cnf(refute_5_171,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_8,refute_5_170]) ).
cnf(refute_5_172,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_5_173,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_5_171,refute_5_172]) ).
cnf(refute_5_174,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_5_164,refute_5_173]) ).
cnf(refute_5_175,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_5_30]) ).
cnf(refute_5_176,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_5_177,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_5_178,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_5_176,refute_5_177]) ).
cnf(refute_5_179,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_5_40,refute_5_178]) ).
cnf(refute_5_180,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_5_181,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_5_179,refute_5_180]) ).
cnf(refute_5_182,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_5_83,refute_5_181]) ).
cnf(refute_5_183,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_5_184,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_5_182,refute_5_183]) ).
cnf(refute_5_185,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_5_175,refute_5_184]) ).
cnf(refute_5_186,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_5_31]) ).
cnf(refute_5_187,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_5_188,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_189,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_5_187,refute_5_188]) ).
cnf(refute_5_190,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_27,refute_5_189]) ).
cnf(refute_5_191,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_5_192,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_5_190,refute_5_191]) ).
cnf(refute_5_193,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_5_186,refute_5_192]) ).
cnf(refute_5_194,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_5_195,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_196,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_5_194,refute_5_195]) ).
cnf(refute_5_197,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_196]) ).
cnf(refute_5_198,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_5_199,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_5_197,refute_5_198]) ).
cnf(refute_5_200,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_5_117,refute_5_199]) ).
cnf(refute_5_201,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_5_202,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_5_200,refute_5_201]) ).
cnf(refute_5_203,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_5_204,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_5_205,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_5_203,refute_5_204]) ).
cnf(refute_5_206,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_5_202,refute_5_205]) ).
cnf(refute_5_207,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_5_208,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_5_206,refute_5_207]) ).
cnf(refute_5_209,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_5_193,refute_5_208]) ).
cnf(refute_5_210,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_5_211,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_5_209,refute_5_210]) ).
cnf(refute_5_212,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_5_185,refute_5_211]) ).
cnf(refute_5_213,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_5_214,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_215,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_5_213,refute_5_214]) ).
cnf(refute_5_216,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_5_212,refute_5_215]) ).
cnf(refute_5_217,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_5_218,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_5_216,refute_5_217]) ).
cnf(refute_5_219,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_5_156,refute_5_218]) ).
cnf(refute_5_220,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_5_221,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_5_219,refute_5_220]) ).
cnf(refute_5_222,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_5_174,refute_5_221]) ).
cnf(refute_5_223,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_5_224,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_5_222,refute_5_223]) ).
cnf(refute_5_225,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_5_156,refute_5_224]) ).
cnf(refute_5_226,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_32]) ).
cnf(refute_5_227,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_5_228,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_5_229,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_5_227,refute_5_228]) ).
cnf(refute_5_230,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_49,refute_5_229]) ).
cnf(refute_5_231,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_5_232,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_5_230,refute_5_231]) ).
cnf(refute_5_233,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_5_33]) ).
cnf(refute_5_234,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_5_235,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_5_233,refute_5_234]) ).
cnf(refute_5_236,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_5_237,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_5_235,refute_5_236]) ).
cnf(refute_5_238,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_5_232,refute_5_237]) ).
cnf(refute_5_239,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_5_226,refute_5_238]) ).
cnf(refute_5_240,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_5_241,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_242,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_5_240,refute_5_241]) ).
cnf(refute_5_243,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_242]) ).
cnf(refute_5_244,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_5_245,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_5_243,refute_5_244]) ).
cnf(refute_5_246,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_5_212,refute_5_245]) ).
cnf(refute_5_247,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_248,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_5_246,refute_5_247]) ).
cnf(refute_5_249,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_5_239,refute_5_248]) ).
cnf(refute_5_250,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_5_251,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_5_249,refute_5_250]) ).
cnf(refute_5_252,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_5_253,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_5_235,refute_5_252]) ).
cnf(refute_5_254,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_251,refute_5_253]) ).
cnf(refute_5_255,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_5_256,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_257,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_5_255,refute_5_256]) ).
cnf(refute_5_258,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_5_254,refute_5_257]) ).
cnf(refute_5_259,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_5_260,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_5_258,refute_5_259]) ).
cnf(refute_5_261,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_5_225,refute_5_260]) ).
cnf(refute_5_262,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_5_263,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_5_261,refute_5_262]) ).
cnf(refute_5_264,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_5_79,refute_5_263]) ).
cnf(refute_5_265,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_5_266,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_5_267,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_5_265,refute_5_266]) ).
cnf(refute_5_268,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_5_264,refute_5_267]) ).
cnf(refute_5_269,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),h4(e13)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_5_270,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_5_268,refute_5_269]) ).
cnf(refute_5_271,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),e20)) )],[refute_5_78,refute_5_270]) ).
cnf(refute_5_272,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_5_273,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),e20)) )],[refute_5_271,refute_5_272]) ).
cnf(refute_5_274,plain,
op2(h4(e10),h4(e13)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_5_21,refute_5_273]) ).
cnf(refute_5_275,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != h1(e11)
| h4(op1(e10,e13)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_5_276,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),h1(e11)) )],[refute_5_274,refute_5_275]) ).
cnf(refute_5_277,plain,
h4(op1(e10,e13)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_5_1,refute_5_276]) ).
cnf(refute_5_278,plain,
op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
inference(canonicalize,[],[normalize_5_35]) ).
cnf(refute_5_279,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_5_36]) ).
cnf(refute_5_280,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_5_37]) ).
cnf(refute_5_281,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_5_38]) ).
cnf(refute_5_282,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_5_40]) ).
cnf(refute_5_283,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_5_284,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_5_282,refute_5_283]) ).
cnf(refute_5_285,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_5_286,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_5_287,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_5_285,refute_5_286]) ).
cnf(refute_5_288,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_287]) ).
cnf(refute_5_289,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_5_290,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_5_288,refute_5_289]) ).
cnf(refute_5_291,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_5_41]) ).
cnf(refute_5_292,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_5_293,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_5_291,refute_5_292]) ).
cnf(refute_5_294,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_5_295,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_5_293,refute_5_294]) ).
cnf(refute_5_296,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_5_290,refute_5_295]) ).
cnf(refute_5_297,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_5_281,refute_5_296]) ).
cnf(refute_5_298,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_5_299,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_5_300,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_5_298,refute_5_299]) ).
cnf(refute_5_301,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_5_297,refute_5_300]) ).
cnf(refute_5_302,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_5_303,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_5_301,refute_5_302]) ).
cnf(refute_5_304,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_5_305,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_5_306,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_5_304,refute_5_305]) ).
cnf(refute_5_307,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_306]) ).
cnf(refute_5_308,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_5_309,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_5_307,refute_5_308]) ).
cnf(refute_5_310,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_5_303,refute_5_309]) ).
cnf(refute_5_311,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_5_280,refute_5_310]) ).
cnf(refute_5_312,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_5_313,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_5_311,refute_5_312]) ).
cnf(refute_5_314,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_5_315,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_5_316,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_5_314,refute_5_315]) ).
cnf(refute_5_317,plain,
op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_5_313,refute_5_316]) ).
cnf(refute_5_318,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) != op1(op1(e11,e12),e13)
| op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op1(op1(e13,e13),e13))),bind(Y,$fot(op1(op1(e11,e12),e13))),bind(Z,$fot(op1(e11,op1(e12,e13))))]]) ).
cnf(refute_5_319,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e11,e12),e13)) )],[refute_5_317,refute_5_318]) ).
cnf(refute_5_320,plain,
op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) )],[refute_5_278,refute_5_319]) ).
cnf(refute_5_321,plain,
( op1(op1(e13,e13),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e13,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) ),[0],$fot(op1(e11,op1(e12,e13)))]]) ).
cnf(refute_5_322,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e13,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e11,op1(e12,e13))) )],[refute_5_320,refute_5_321]) ).
cnf(refute_5_323,plain,
op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12)),
inference(canonicalize,[],[normalize_5_42]) ).
cnf(refute_5_324,plain,
op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
inference(canonicalize,[],[normalize_5_43]) ).
cnf(refute_5_325,plain,
op1(e11,op1(e13,e12)) = op1(e11,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e12)))]]) ).
cnf(refute_5_326,plain,
( op1(e11,op1(e13,e12)) != op1(e11,op1(e13,e12))
| op1(e13,e12) != e11
| op1(e11,op1(e13,e12)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_5_327,plain,
( op1(e13,e12) != e11
| op1(e11,op1(e13,e12)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,op1(e13,e12))) )],[refute_5_325,refute_5_326]) ).
cnf(refute_5_328,plain,
op1(e11,op1(e13,e12)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_5_297,refute_5_327]) ).
cnf(refute_5_329,plain,
( op1(e11,op1(e13,e12)) != op1(e11,e11)
| op1(op1(e11,e13),e12) != op1(e11,op1(e13,e12))
| op1(op1(e11,e13),e12) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,op1(e13,e12))) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_5_330,plain,
( op1(op1(e11,e13),e12) != op1(e11,op1(e13,e12))
| op1(op1(e11,e13),e12) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,e11)) )],[refute_5_328,refute_5_329]) ).
cnf(refute_5_331,plain,
op1(op1(e11,e13),e12) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,op1(e13,e12))) )],[refute_5_324,refute_5_330]) ).
cnf(refute_5_332,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_5_44]) ).
cnf(refute_5_333,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_5_45]) ).
cnf(refute_5_334,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_5_335,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_5_336,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_5_334,refute_5_335]) ).
cnf(refute_5_337,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_336]) ).
cnf(refute_5_338,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_5_339,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_5_337,refute_5_338]) ).
cnf(refute_5_340,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_5_333,refute_5_339]) ).
cnf(refute_5_341,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_5_342,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_5_343,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_5_341,refute_5_342]) ).
cnf(refute_5_344,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_5_313,refute_5_343]) ).
cnf(refute_5_345,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_5_346,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_5_344,refute_5_345]) ).
cnf(refute_5_347,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_5_340,refute_5_346]) ).
cnf(refute_5_348,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_5_349,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_5_347,refute_5_348]) ).
cnf(refute_5_350,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_5_351,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_5_352,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_5_350,refute_5_351]) ).
cnf(refute_5_353,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_5_297,refute_5_352]) ).
cnf(refute_5_354,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_5_355,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_5_353,refute_5_354]) ).
cnf(refute_5_356,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_5_349,refute_5_355]) ).
cnf(refute_5_357,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_5_332,refute_5_356]) ).
cnf(refute_5_358,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_5_359,plain,
op1(e13,e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_5_357,refute_5_358]) ).
cnf(refute_5_360,plain,
op1(op1(e13,e11),e12) = op1(op1(e13,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e12))]]) ).
cnf(refute_5_361,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e12) != op1(op1(e13,e11),e12)
| op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e13,e11),e12)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_5_362,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e13,e11),e12)) )],[refute_5_360,refute_5_361]) ).
cnf(refute_5_363,plain,
op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_5_359,refute_5_362]) ).
cnf(refute_5_364,plain,
( op1(op1(e11,e13),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) != op1(op1(e11,e13),e12)
| op1(op1(e13,e11),e12) = op1(e11,e11) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op1(op1(e13,e11),e12))),bind(Y,$fot(op1(op1(e11,e13),e12))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_5_365,plain,
( op1(op1(e11,e13),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e11,e13),e12)) )],[refute_5_363,refute_5_364]) ).
cnf(refute_5_366,plain,
op1(op1(e13,e11),e12) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,e11)) )],[refute_5_331,refute_5_365]) ).
cnf(refute_5_367,plain,
( op1(op1(e13,e11),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) != op1(e13,op1(e11,e12))
| op1(e11,e11) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e13,op1(e11,e12))) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_5_368,plain,
( op1(op1(e13,e11),e12) != op1(e13,op1(e11,e12))
| op1(e11,e11) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e11,e11)) )],[refute_5_366,refute_5_367]) ).
cnf(refute_5_369,plain,
op1(e11,e11) = op1(e13,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e13,op1(e11,e12))) )],[refute_5_323,refute_5_368]) ).
cnf(refute_5_370,plain,
( op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e13,op1(e11,e12)) = op1(e11,e11) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e11,e11))),bind(Y,$fot(op1(e13,op1(e11,e12))))]]) ).
cnf(refute_5_371,plain,
op1(e13,op1(e11,e12)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,op1(e11,e12))) )],[refute_5_369,refute_5_370]) ).
cnf(refute_5_372,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_5_373,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_5_374,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_5_372,refute_5_373]) ).
cnf(refute_5_375,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_5_313,refute_5_374]) ).
cnf(refute_5_376,plain,
( op1(e13,op1(e11,e12)) != op1(e11,e11)
| op1(e13,op1(e13,e13)) != op1(e13,op1(e11,e12))
| op1(e13,op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op1(e13,op1(e13,e13)))),bind(Y,$fot(op1(e13,op1(e11,e12)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_5_377,plain,
( op1(e13,op1(e11,e12)) != op1(e11,e11)
| op1(e13,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e11,e12))) )],[refute_5_375,refute_5_376]) ).
cnf(refute_5_378,plain,
op1(e13,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e11,e11)) )],[refute_5_371,refute_5_377]) ).
cnf(refute_5_379,plain,
( op1(e11,op1(e12,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e11,e11)
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e13)),op1(e11,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_5_380,plain,
( op1(e11,op1(e12,e13)) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e11,e11)) )],[refute_5_378,refute_5_379]) ).
cnf(refute_5_381,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e13)),op1(e13,op1(e13,e13))) )],[refute_5_322,refute_5_380]) ).
cnf(refute_5_382,plain,
op1(e11,op1(e12,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) )],[refute_5_279,refute_5_381]) ).
cnf(refute_5_383,plain,
( op1(e11,op1(e12,e13)) != op1(e11,e11)
| op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e11,e12),e13) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_5_384,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e11,e12),e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e13)),op1(e11,e11)) )],[refute_5_382,refute_5_383]) ).
cnf(refute_5_385,plain,
op1(op1(e11,e12),e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) )],[refute_5_278,refute_5_384]) ).
cnf(refute_5_386,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_5_46]) ).
cnf(refute_5_387,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_5_388,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_5_389,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_5_387,refute_5_388]) ).
cnf(refute_5_390,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_5_293,refute_5_389]) ).
cnf(refute_5_391,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_5_392,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_5_390,refute_5_391]) ).
cnf(refute_5_393,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_5_386,refute_5_392]) ).
cnf(refute_5_394,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_5_395,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_5_393,refute_5_394]) ).
cnf(refute_5_396,plain,
op1(op1(e11,e12),e13) = op1(op1(e11,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e13))]]) ).
cnf(refute_5_397,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e13) != op1(op1(e11,e12),e13)
| op1(op1(e11,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(op1(e11,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_398,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(op1(e11,e12),e13)) )],[refute_5_396,refute_5_397]) ).
cnf(refute_5_399,plain,
op1(op1(e11,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_395,refute_5_398]) ).
cnf(refute_5_400,plain,
( op1(op1(e11,e12),e13) != op1(e10,e13)
| op1(op1(e11,e12),e13) != op1(e11,e11)
| op1(e10,e13) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,e11)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_5_401,plain,
( op1(op1(e11,e12),e13) != op1(e11,e11)
| op1(e10,e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e10,e13)) )],[refute_5_399,refute_5_400]) ).
cnf(refute_5_402,plain,
op1(e10,e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,e11)) )],[refute_5_385,refute_5_401]) ).
cnf(refute_5_403,plain,
( op1(e10,e13) != op1(e11,e11)
| op1(e11,e11) = op1(e10,e13) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_5_404,plain,
op1(e11,e11) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e11)) )],[refute_5_402,refute_5_403]) ).
cnf(refute_5_405,plain,
h4(op1(e11,e11)) = h4(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e11)))]]) ).
cnf(refute_5_406,plain,
( h4(op1(e11,e11)) != h4(op1(e11,e11))
| op1(e11,e11) != op1(e10,e13)
| h4(op1(e11,e11)) = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_5_407,plain,
( op1(e11,e11) != op1(e10,e13)
| h4(op1(e11,e11)) = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e11,e11))) )],[refute_5_405,refute_5_406]) ).
cnf(refute_5_408,plain,
h4(op1(e11,e11)) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e10,e13)) )],[refute_5_404,refute_5_407]) ).
cnf(refute_5_409,plain,
( h4(op1(e10,e13)) != h1(e11)
| h4(op1(e11,e11)) != h4(op1(e10,e13))
| h4(op1(e11,e11)) = h1(e11) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(h4(op1(e11,e11)))),bind(Y,$fot(h4(op1(e10,e13)))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_5_410,plain,
( h4(op1(e10,e13)) != h1(e11)
| h4(op1(e11,e11)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h4(op1(e10,e13))) )],[refute_5_408,refute_5_409]) ).
cnf(refute_5_411,plain,
h4(op1(e11,e11)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h1(e11)) )],[refute_5_277,refute_5_410]) ).
cnf(refute_5_412,plain,
( h1(e11) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) != h1(e11)
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e11)),h1(e11)) ),[1],$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_5_413,plain,
( h1(e11) != op2(h4(e11),h4(e11))
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),h1(e11)) )],[refute_5_411,refute_5_412]) ).
cnf(refute_5_414,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e11)))]]) ).
cnf(refute_5_415,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_5_416,plain,
( h4(e11) != h2(e13)
| op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_5_414,refute_5_415]) ).
cnf(refute_5_417,plain,
op2(h2(e13),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_251,refute_5_416]) ).
cnf(refute_5_418,plain,
op2(h4(e11),h4(e11)) = op2(h4(e11),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e11)))]]) ).
cnf(refute_5_419,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) != op2(h4(e11),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_5_420,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h4(e11),h4(e11))) )],[refute_5_418,refute_5_419]) ).
cnf(refute_5_421,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h4(e11)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_5_251,refute_5_420]) ).
cnf(refute_5_422,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) != op2(h2(e13),h4(e11))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e11),h4(e11)))),bind(Y,$fot(op2(h2(e13),h4(e11)))),bind(Z,$fot(op2(h2(e13),h2(e13))))]]) ).
cnf(refute_5_423,plain,
( op2(h2(e13),h4(e11)) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h4(e11))) )],[refute_5_421,refute_5_422]) ).
cnf(refute_5_424,plain,
op2(h4(e11),h4(e11)) = op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_5_417,refute_5_423]) ).
cnf(refute_5_425,plain,
( h1(e11) != op2(h2(e13),h2(e13))
| op2(h4(e11),h4(e11)) != op2(h2(e13),h2(e13))
| h1(e11) = op2(h4(e11),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h4(e11),h4(e11))) ),[1],$fot(op2(h2(e13),h2(e13)))]]) ).
cnf(refute_5_426,plain,
( h1(e11) != op2(h2(e13),h2(e13))
| h1(e11) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e11)),op2(h2(e13),h2(e13))) )],[refute_5_424,refute_5_425]) ).
cnf(refute_5_427,plain,
( h1(e11) != op2(h2(e13),h2(e13))
| h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h4(e11),h4(e11))) )],[refute_5_426,refute_5_413]) ).
cnf(refute_5_428,plain,
h1(e11) != op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e11)),op2(h4(e11),h4(e11))) )],[refute_5_427,refute_5_0]) ).
cnf(refute_5_429,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(canonicalize,[],[normalize_5_47]) ).
cnf(refute_5_430,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_5_431,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_5_432,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_5_430,refute_5_431]) ).
cnf(refute_5_433,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_432]) ).
cnf(refute_5_434,plain,
( op1(e10,op1(e12,e12)) != op1(e10,e13)
| op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_5_435,plain,
( op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_5_433,refute_5_434]) ).
cnf(refute_5_436,plain,
op1(op1(e10,e12),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) )],[refute_5_429,refute_5_435]) ).
cnf(refute_5_437,plain,
( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(canonicalize,[],[normalize_5_49]) ).
cnf(refute_5_438,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_5_439,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_440,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_5_438,refute_5_439]) ).
cnf(refute_5_441,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_395,refute_5_440]) ).
cnf(refute_5_442,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_5_443,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_5_441,refute_5_442]) ).
cnf(refute_5_444,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_5_340,refute_5_443]) ).
cnf(refute_5_445,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_5_446,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_5_444,refute_5_445]) ).
cnf(refute_5_447,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_5_448,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_5_446,refute_5_447]) ).
cnf(refute_5_449,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_5_357,refute_5_448]) ).
cnf(refute_5_450,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_5_451,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_5_449,refute_5_450]) ).
cnf(refute_5_452,plain,
( op1(e13,e11) != e10
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e10) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_5_453,plain,
( op1(e13,e11) != e10
| op1(e10,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_5_451,refute_5_452]) ).
cnf(refute_5_454,plain,
( op1(e10,e12) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e10) )],[refute_5_437,refute_5_453]) ).
cnf(refute_5_455,plain,
( op1(e13,e11) != e11
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e11) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_5_456,plain,
( op1(e13,e11) != e11
| op1(e10,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_5_451,refute_5_455]) ).
cnf(refute_5_457,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e11) )],[refute_5_454,refute_5_456]) ).
cnf(refute_5_458,plain,
( op1(e13,e11) != e12
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_5_459,plain,
( op1(e13,e11) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_5_451,refute_5_458]) ).
cnf(refute_5_460,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e13,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e12) )],[refute_5_457,refute_5_459]) ).
cnf(refute_5_461,plain,
( op1(e13,e11) != e13
| op1(e13,e11) != op1(e10,e12)
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e11),e13) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_5_462,plain,
( op1(e13,e11) != e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_5_451,refute_5_461]) ).
cnf(refute_5_463,plain,
( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e11),e13) )],[refute_5_460,refute_5_462]) ).
cnf(refute_5_464,plain,
op1(e11,e12) != op1(e11,e13),
inference(canonicalize,[],[normalize_5_51]) ).
cnf(refute_5_465,plain,
( e10 != op1(e11,e13)
| op1(e11,e12) != e10
| op1(e11,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e10) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_5_466,plain,
( e10 != op1(e11,e13)
| op1(e11,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_395,refute_5_465]) ).
cnf(refute_5_467,plain,
( e10 != op1(e10,e12)
| op1(e11,e13) != op1(e10,e12)
| e10 = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e13)) ),[1],$fot(op1(e10,e12))]]) ).
cnf(refute_5_468,plain,
( e10 != op1(e10,e12)
| e10 = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_5_446,refute_5_467]) ).
cnf(refute_5_469,plain,
( e10 != op1(e10,e12)
| op1(e11,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e13)) )],[refute_5_468,refute_5_466]) ).
cnf(refute_5_470,plain,
e10 != op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e13)) )],[refute_5_469,refute_5_464]) ).
cnf(refute_5_471,plain,
( op1(e10,e12) != e10
| e10 = op1(e10,e12) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(e10))]]) ).
cnf(refute_5_472,plain,
op1(e10,e12) != e10,
inference(resolve,[$cnf( $equal(e10,op1(e10,e12)) )],[refute_5_471,refute_5_470]) ).
cnf(refute_5_473,plain,
( op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e10) )],[refute_5_463,refute_5_472]) ).
cnf(refute_5_474,plain,
op1(e12,e10) != op1(e12,e13),
inference(canonicalize,[],[normalize_5_52]) ).
cnf(refute_5_475,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(canonicalize,[],[normalize_5_53]) ).
cnf(refute_5_476,plain,
op1(e12,op1(e11,e12)) = op1(e12,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e12)))]]) ).
cnf(refute_5_477,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_5_478,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_5_476,refute_5_477]) ).
cnf(refute_5_479,plain,
op1(e12,op1(e11,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_395,refute_5_478]) ).
cnf(refute_5_480,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e10)
| op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_5_481,plain,
( op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,e10)) )],[refute_5_479,refute_5_480]) ).
cnf(refute_5_482,plain,
op1(op1(e12,e11),e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) )],[refute_5_475,refute_5_481]) ).
cnf(refute_5_483,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_5_54]) ).
cnf(refute_5_484,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_5_485,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_5_486,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_5_484,refute_5_485]) ).
cnf(refute_5_487,plain,
op1(op1(e12,e12),e13) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_486]) ).
cnf(refute_5_488,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) != op1(e13,e13)
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_5_489,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e13,e13)) )],[refute_5_487,refute_5_488]) ).
cnf(refute_5_490,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_5_483,refute_5_489]) ).
cnf(refute_5_491,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_5_492,plain,
( op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_5_313,refute_5_491]) ).
cnf(refute_5_493,plain,
op1(e11,e12) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) )],[refute_5_490,refute_5_492]) ).
cnf(refute_5_494,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) ),[0],$fot(e10)]]) ).
cnf(refute_5_495,plain,
( op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_5_395,refute_5_494]) ).
cnf(refute_5_496,plain,
e10 = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) )],[refute_5_493,refute_5_495]) ).
cnf(refute_5_497,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_5_498,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_5_499,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_5_497,refute_5_498]) ).
cnf(refute_5_500,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_499]) ).
cnf(refute_5_501,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_5_502,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_5_500,refute_5_501]) ).
cnf(refute_5_503,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_5_291,refute_5_502]) ).
cnf(refute_5_504,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_5_505,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_5_503,refute_5_504]) ).
cnf(refute_5_506,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_5_507,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_5_508,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_5_506,refute_5_507]) ).
cnf(refute_5_509,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_5_505,refute_5_508]) ).
cnf(refute_5_510,plain,
( e10 != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) != op1(e12,e11)
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[0],$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_5_511,plain,
( e10 != op1(e12,op1(e12,e13))
| e10 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_5_509,refute_5_510]) ).
cnf(refute_5_512,plain,
e10 = op1(e12,e11),
inference(resolve,[$cnf( $equal(e10,op1(e12,op1(e12,e13))) )],[refute_5_496,refute_5_511]) ).
cnf(refute_5_513,plain,
( e10 != op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_5_514,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_5_512,refute_5_513]) ).
cnf(refute_5_515,plain,
op1(op1(e12,e11),e12) = op1(op1(e12,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e12))]]) ).
cnf(refute_5_516,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) != op1(op1(e12,e11),e12)
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_5_517,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) )],[refute_5_515,refute_5_516]) ).
cnf(refute_5_518,plain,
op1(op1(e12,e11),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_5_514,refute_5_517]) ).
cnf(refute_5_519,plain,
( op1(op1(e12,e11),e12) != op1(e10,e12)
| op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_5_520,plain,
( op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e10,e12)) )],[refute_5_518,refute_5_519]) ).
cnf(refute_5_521,plain,
op1(e10,e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) )],[refute_5_482,refute_5_520]) ).
cnf(refute_5_522,plain,
( op1(e10,e12) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e12) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_5_523,plain,
op1(e12,e10) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e10)) )],[refute_5_521,refute_5_522]) ).
cnf(refute_5_524,plain,
( op1(e10,e12) != op1(e12,e13)
| op1(e12,e10) != op1(e10,e12)
| op1(e12,e10) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) ),[1],$fot(op1(e12,e13))]]) ).
cnf(refute_5_525,plain,
( op1(e10,e12) != op1(e12,e13)
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_5_523,refute_5_524]) ).
cnf(refute_5_526,plain,
( op1(e10,e12) != e11
| op1(e12,e13) != e11
| op1(e10,e12) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e13)) ),[1],$fot(e11)]]) ).
cnf(refute_5_527,plain,
( op1(e10,e12) != e11
| op1(e10,e12) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_5_505,refute_5_526]) ).
cnf(refute_5_528,plain,
( op1(e10,e12) != e11
| op1(e12,e10) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e13)) )],[refute_5_527,refute_5_525]) ).
cnf(refute_5_529,plain,
op1(e10,e12) != e11,
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e12,e13)) )],[refute_5_528,refute_5_474]) ).
cnf(refute_5_530,plain,
( op1(e10,e12) = e12
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e11) )],[refute_5_473,refute_5_529]) ).
cnf(refute_5_531,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_5_55]) ).
cnf(refute_5_532,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_5_533,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_532]) ).
cnf(refute_5_534,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_5_533,refute_5_531]) ).
cnf(refute_5_535,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_5_530,refute_5_534]) ).
cnf(refute_5_536,plain,
op1(op1(e10,e12),e12) = op1(op1(e10,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e12))]]) ).
cnf(refute_5_537,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) != op1(op1(e10,e12),e12)
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) ),[1,0],$fot(e12)]]) ).
cnf(refute_5_538,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) )],[refute_5_536,refute_5_537]) ).
cnf(refute_5_539,plain,
op1(op1(e10,e12),e12) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_535,refute_5_538]) ).
cnf(refute_5_540,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) != op1(e12,e12)
| op1(op1(e10,e12),e12) = e13 ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op1(op1(e10,e12),e12))),bind(Y,$fot(op1(e12,e12))),bind(Z,$fot(e13))]]) ).
cnf(refute_5_541,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e12,e12)) )],[refute_5_539,refute_5_540]) ).
cnf(refute_5_542,plain,
op1(op1(e10,e12),e12) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_5_284,refute_5_541]) ).
cnf(refute_5_543,plain,
( op1(op1(e10,e12),e12) != e13
| op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) ),[0],$fot(e13)]]) ).
cnf(refute_5_544,plain,
( op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),e13) )],[refute_5_542,refute_5_543]) ).
cnf(refute_5_545,plain,
e13 = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) )],[refute_5_436,refute_5_544]) ).
cnf(refute_5_546,plain,
( e13 != op1(e10,e13)
| op1(e10,e13) = e13 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_5_547,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e10,e13)) )],[refute_5_545,refute_5_546]) ).
cnf(refute_5_548,plain,
h4(op1(e10,e13)) = h4(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e13)))]]) ).
cnf(refute_5_549,plain,
( h4(op1(e10,e13)) != h4(op1(e10,e13))
| op1(e10,e13) != e13
| h4(op1(e10,e13)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_5_550,plain,
( op1(e10,e13) != e13
| h4(op1(e10,e13)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(op1(e10,e13))) )],[refute_5_548,refute_5_549]) ).
cnf(refute_5_551,plain,
h4(op1(e10,e13)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_5_547,refute_5_550]) ).
cnf(refute_5_552,plain,
( h4(e13) != e20
| h4(op1(e10,e13)) != h4(e13)
| h4(op1(e10,e13)) = e20 ),
inference(subst,[],[refute_5_55:[bind(X,$fot(h4(op1(e10,e13)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_553,plain,
( h4(e13) != e20
| h4(op1(e10,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h4(e13)) )],[refute_5_551,refute_5_552]) ).
cnf(refute_5_554,plain,
h4(op1(e10,e13)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_553]) ).
cnf(refute_5_555,plain,
( h4(op1(e10,e13)) != e20
| h4(op1(e10,e13)) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e13)),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_5_556,plain,
( h4(op1(e10,e13)) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),e20) )],[refute_5_554,refute_5_555]) ).
cnf(refute_5_557,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h1(e11)) )],[refute_5_277,refute_5_556]) ).
cnf(refute_5_558,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_5_559,plain,
h1(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_5_557,refute_5_558]) ).
cnf(refute_5_560,plain,
( e20 != op2(h2(e13),h2(e13))
| h1(e11) != e20
| h1(e11) = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e11),e20) ),[1],$fot(op2(h2(e13),h2(e13)))]]) ).
cnf(refute_5_561,plain,
( e20 != op2(h2(e13),h2(e13))
| h1(e11) = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_5_559,refute_5_560]) ).
cnf(refute_5_562,plain,
e20 != op2(h2(e13),h2(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(h2(e13),h2(e13))) )],[refute_5_561,refute_5_428]) ).
cnf(refute_5_563,plain,
( h4(e13) != e20
| h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_5_564,plain,
( h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_563]) ).
cnf(refute_5_565,plain,
e20 = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_5_47,refute_5_564]) ).
cnf(refute_5_566,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_567,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_5_565,refute_5_566]) ).
cnf(refute_5_568,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_5_56]) ).
cnf(refute_5_569,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_5_570,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_5_571,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_5_569,refute_5_570]) ).
cnf(refute_5_572,plain,
op2(op2(e20,e20),e23) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_8,refute_5_571]) ).
cnf(refute_5_573,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_5_574,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h1(e13),e23)) )],[refute_5_572,refute_5_573]) ).
cnf(refute_5_575,plain,
op2(h1(e13),e23) = op2(e20,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_5_568,refute_5_574]) ).
cnf(refute_5_576,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_5_577,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_5_578,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_5_576,refute_5_577]) ).
cnf(refute_5_579,plain,
op2(e20,op2(e20,e23)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_5_212,refute_5_578]) ).
cnf(refute_5_580,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_5_581,plain,
( op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h2(e13))) )],[refute_5_579,refute_5_580]) ).
cnf(refute_5_582,plain,
op2(h1(e13),e23) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) )],[refute_5_575,refute_5_581]) ).
cnf(refute_5_583,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_5_57]) ).
cnf(refute_5_584,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_5_58]) ).
cnf(refute_5_585,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_5_586,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_587,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_5_585,refute_5_586]) ).
cnf(refute_5_588,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_5_584,refute_5_587]) ).
cnf(refute_5_589,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_590,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_5_591,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_5_589,refute_5_590]) ).
cnf(refute_5_592,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_5_264,refute_5_591]) ).
cnf(refute_5_593,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_5_594,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_5_592,refute_5_593]) ).
cnf(refute_5_595,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_5_588,refute_5_594]) ).
cnf(refute_5_596,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),e23))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_5_597,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_5_595,refute_5_596]) ).
cnf(refute_5_598,plain,
op2(h4(e10),h4(e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_5_582,refute_5_597]) ).
cnf(refute_5_599,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_5_600,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h2(e13))) )],[refute_5_598,refute_5_599]) ).
cnf(refute_5_601,plain,
h4(op1(e10,e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_5_583,refute_5_600]) ).
cnf(refute_5_602,plain,
( h4(op1(e10,e12)) != op2(e20,h2(e13))
| op2(e20,h2(e13)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_5_603,plain,
op2(e20,h2(e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) )],[refute_5_601,refute_5_602]) ).
cnf(refute_5_604,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h1(e13),e23) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) ),[1],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_5_605,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h1(e13),e23) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),h4(op1(e10,e12))) )],[refute_5_603,refute_5_604]) ).
cnf(refute_5_606,plain,
op2(h1(e13),e23) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_5_582,refute_5_605]) ).
cnf(refute_5_607,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_5_608,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_5_609,plain,
( op1(e10,e12) != e12
| h4(op1(e10,e12)) = h4(e12) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_5_607,refute_5_608]) ).
cnf(refute_5_610,plain,
h4(op1(e10,e12)) = h4(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_5_535,refute_5_609]) ).
cnf(refute_5_611,plain,
( h4(e12) != e23
| h4(op1(e10,e12)) != h4(e12)
| h4(op1(e10,e12)) = e23 ),
inference(subst,[],[refute_5_55:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(h4(e12))),bind(Z,$fot(e23))]]) ).
cnf(refute_5_612,plain,
( h4(e12) != e23
| h4(op1(e10,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(e12)) )],[refute_5_610,refute_5_611]) ).
cnf(refute_5_613,plain,
h4(op1(e10,e12)) = e23,
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_5_584,refute_5_612]) ).
cnf(refute_5_614,plain,
( h4(op1(e10,e12)) != e23
| op2(h1(e13),e23) != h4(op1(e10,e12))
| op2(h1(e13),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),h4(op1(e10,e12))) ),[1],$fot(e23)]]) ).
cnf(refute_5_615,plain,
( op2(h1(e13),e23) != h4(op1(e10,e12))
| op2(h1(e13),e23) = e23 ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),e23) )],[refute_5_613,refute_5_614]) ).
cnf(refute_5_616,plain,
op2(h1(e13),e23) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),h4(op1(e10,e12))) )],[refute_5_606,refute_5_615]) ).
cnf(refute_5_617,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(canonicalize,[],[normalize_5_59]) ).
cnf(refute_5_618,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(op2(e20,op2(e20,e20)),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_5_619,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(op2(e20,op2(e20,e20)),e20) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) ),[1,0],$fot(h1(e11))]]) ).
cnf(refute_5_620,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_5_618,refute_5_619]) ).
cnf(refute_5_621,plain,
op2(op2(e20,op2(e20,e20)),e20) = op2(h1(e11),e20),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_5_17,refute_5_620]) ).
cnf(refute_5_622,plain,
( h1(e10) != op2(op2(e20,op2(e20,e20)),e20)
| op2(op2(e20,op2(e20,e20)),e20) != op2(h1(e11),e20)
| h1(e10) = op2(h1(e11),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),op2(h1(e11),e20)) ),[0],$fot(op2(op2(e20,op2(e20,e20)),e20))]]) ).
cnf(refute_5_623,plain,
( h1(e10) != op2(op2(e20,op2(e20,e20)),e20)
| h1(e10) = op2(h1(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,op2(e20,e20)),e20),op2(h1(e11),e20)) )],[refute_5_621,refute_5_622]) ).
cnf(refute_5_624,plain,
h1(e10) = op2(h1(e11),e20),
inference(resolve,[$cnf( $equal(h1(e10),op2(op2(e20,op2(e20,e20)),e20)) )],[refute_5_617,refute_5_623]) ).
cnf(refute_5_625,plain,
op2(h1(e11),e20) = op2(h1(e11),e20),
introduced(tautology,[refl,[$fot(op2(h1(e11),e20))]]) ).
cnf(refute_5_626,plain,
( h1(e11) != e20
| op2(h1(e11),e20) != op2(h1(e11),e20)
| op2(h1(e11),e20) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_627,plain,
( h1(e11) != e20
| op2(h1(e11),e20) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(h1(e11),e20)) )],[refute_5_625,refute_5_626]) ).
cnf(refute_5_628,plain,
op2(h1(e11),e20) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_5_559,refute_5_627]) ).
cnf(refute_5_629,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e11),e20) != op2(e20,e20)
| op2(h1(e11),e20) = h1(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h1(e11),e20))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_5_630,plain,
( op2(e20,e20) != h1(e13)
| op2(h1(e11),e20) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),op2(e20,e20)) )],[refute_5_628,refute_5_629]) ).
cnf(refute_5_631,plain,
op2(h1(e11),e20) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_5_8,refute_5_630]) ).
cnf(refute_5_632,plain,
( h1(e10) != op2(h1(e11),e20)
| op2(h1(e11),e20) != h1(e13)
| h1(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e10),h1(e13)) ),[0],$fot(op2(h1(e11),e20))]]) ).
cnf(refute_5_633,plain,
( h1(e10) != op2(h1(e11),e20)
| h1(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e11),e20),h1(e13)) )],[refute_5_631,refute_5_632]) ).
cnf(refute_5_634,plain,
h1(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e10),op2(h1(e11),e20)) )],[refute_5_624,refute_5_633]) ).
cnf(refute_5_635,plain,
( h1(e10) != h1(e13)
| h1(e13) = h1(e10) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(h1(e10))),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_5_636,plain,
h1(e13) = h1(e10),
inference(resolve,[$cnf( $equal(h1(e10),h1(e13)) )],[refute_5_634,refute_5_635]) ).
cnf(refute_5_637,plain,
op2(h1(e13),e23) = op2(h1(e13),e23),
introduced(tautology,[refl,[$fot(op2(h1(e13),e23))]]) ).
cnf(refute_5_638,plain,
( h1(e13) != h1(e10)
| op2(h1(e13),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(h1(e10),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) ),[1,0],$fot(h1(e10))]]) ).
cnf(refute_5_639,plain,
( h1(e13) != h1(e10)
| op2(h1(e13),e23) = op2(h1(e10),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e13),e23)) )],[refute_5_637,refute_5_638]) ).
cnf(refute_5_640,plain,
op2(h1(e13),e23) = op2(h1(e10),e23),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_5_636,refute_5_639]) ).
cnf(refute_5_641,plain,
( op2(h1(e13),e23) != e23
| op2(h1(e13),e23) != op2(h1(e10),e23)
| op2(h1(e10),e23) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),e23) ),[0],$fot(op2(h1(e10),e23))]]) ).
cnf(refute_5_642,plain,
( op2(h1(e13),e23) != e23
| op2(h1(e10),e23) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(h1(e10),e23)) )],[refute_5_640,refute_5_641]) ).
cnf(refute_5_643,plain,
op2(h1(e10),e23) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),e23) )],[refute_5_616,refute_5_642]) ).
cnf(refute_5_644,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(canonicalize,[],[normalize_5_60]) ).
cnf(refute_5_645,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_5_646,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_5_156,refute_5_645]) ).
cnf(refute_5_647,plain,
op2(op2(e21,e23),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_5_146,refute_5_646]) ).
cnf(refute_5_648,plain,
op2(op2(e21,e23),e21) = op2(op2(e21,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e21))]]) ).
cnf(refute_5_649,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) != op2(op2(e21,e23),e21)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_5_650,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) )],[refute_5_648,refute_5_649]) ).
cnf(refute_5_651,plain,
op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_5_202,refute_5_650]) ).
cnf(refute_5_652,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(op2(e20,e22),e21)
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e21,e23),e21))),bind(Y,$fot(op2(op2(e20,e22),e21))),bind(Z,$fot(op2(e20,op2(e22,e21))))]]) ).
cnf(refute_5_653,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e20,e22),e21)) )],[refute_5_651,refute_5_652]) ).
cnf(refute_5_654,plain,
op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_5_644,refute_5_653]) ).
cnf(refute_5_655,plain,
( op2(op2(e21,e23),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) ),[0],$fot(op2(e20,op2(e22,e21)))]]) ).
cnf(refute_5_656,plain,
( op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e20,op2(e22,e21))) )],[refute_5_654,refute_5_655]) ).
cnf(refute_5_657,plain,
op2(e20,op2(e22,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) )],[refute_5_647,refute_5_656]) ).
cnf(refute_5_658,plain,
( op2(e20,op2(e22,e21)) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_5_659,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e21)),op2(e23,h2(e13))) )],[refute_5_657,refute_5_658]) ).
cnf(refute_5_660,plain,
op2(op2(e20,e22),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_5_644,refute_5_659]) ).
cnf(refute_5_661,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_5_662,plain,
( op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_5_222,refute_5_661]) ).
cnf(refute_5_663,plain,
op2(op2(e20,e22),e21) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) )],[refute_5_660,refute_5_662]) ).
cnf(refute_5_664,plain,
( h1(e13) != h1(e10)
| op2(op2(e20,e22),e21) != h1(e13)
| op2(op2(e20,e22),e21) = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) ),[1],$fot(h1(e10))]]) ).
cnf(refute_5_665,plain,
( op2(op2(e20,e22),e21) != h1(e13)
| op2(op2(e20,e22),e21) = h1(e10) ),
inference(resolve,[$cnf( $equal(h1(e13),h1(e10)) )],[refute_5_636,refute_5_664]) ).
cnf(refute_5_666,plain,
op2(op2(e20,e22),e21) = h1(e10),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) )],[refute_5_663,refute_5_665]) ).
cnf(refute_5_667,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_5_61]) ).
cnf(refute_5_668,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_5_669,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_670,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_5_668,refute_5_669]) ).
cnf(refute_5_671,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_27,refute_5_670]) ).
cnf(refute_5_672,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_5_673,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_5_671,refute_5_672]) ).
cnf(refute_5_674,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_5_49,refute_5_673]) ).
cnf(refute_5_675,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_5_676,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_5_674,refute_5_675]) ).
cnf(refute_5_677,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_5_667,refute_5_676]) ).
cnf(refute_5_678,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_5_679,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_678]) ).
cnf(refute_5_680,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_5_677,refute_5_679]) ).
cnf(refute_5_681,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_5_682,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_683,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_5_681,refute_5_682]) ).
cnf(refute_5_684,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_27,refute_5_683]) ).
cnf(refute_5_685,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_5_686,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_5_684,refute_5_685]) ).
cnf(refute_5_687,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_5_34,refute_5_686]) ).
cnf(refute_5_688,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_5_689,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_5_687,refute_5_688]) ).
cnf(refute_5_690,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_5_691,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_5_692,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_5_690,refute_5_691]) ).
cnf(refute_5_693,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_689,refute_5_692]) ).
cnf(refute_5_694,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_5_695,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_5_693,refute_5_694]) ).
cnf(refute_5_696,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_5_680,refute_5_695]) ).
cnf(refute_5_697,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_5_698,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_5_696,refute_5_697]) ).
cnf(refute_5_699,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_5_63]) ).
cnf(refute_5_700,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_5_65]) ).
cnf(refute_5_701,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_5_702,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_5_27,refute_5_701]) ).
cnf(refute_5_703,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_5_702,refute_5_700]) ).
cnf(refute_5_704,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_5_699,refute_5_703]) ).
cnf(refute_5_705,plain,
op2(e22,e21) != op2(e23,e21),
inference(canonicalize,[],[normalize_5_66]) ).
cnf(refute_5_706,plain,
( e20 != op2(e23,e21)
| op2(e22,e21) != e20
| op2(e22,e21) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e21),e20) ),[1],$fot(op2(e23,e21))]]) ).
cnf(refute_5_707,plain,
( e20 != op2(e23,e21)
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_698,refute_5_706]) ).
cnf(refute_5_708,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(e21,e23) != op2(e23,e21)
| op2(e20,e22) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_5_709,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e20,e22) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_5_202,refute_5_708]) ).
cnf(refute_5_710,plain,
op2(e20,e22) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_5_134,refute_5_709]) ).
cnf(refute_5_711,plain,
( op2(e20,e22) != op2(e23,e21)
| op2(e23,e21) = op2(e20,e22) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_5_712,plain,
op2(e23,e21) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e21)) )],[refute_5_710,refute_5_711]) ).
cnf(refute_5_713,plain,
( e20 != op2(e20,e22)
| op2(e23,e21) != op2(e20,e22)
| e20 = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e23,e21)) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_5_714,plain,
( e20 != op2(e20,e22)
| e20 = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e20,e22)) )],[refute_5_712,refute_5_713]) ).
cnf(refute_5_715,plain,
( e20 != op2(e20,e22)
| op2(e22,e21) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e21)) )],[refute_5_714,refute_5_707]) ).
cnf(refute_5_716,plain,
e20 != op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e22,e21),op2(e23,e21)) )],[refute_5_715,refute_5_705]) ).
cnf(refute_5_717,plain,
( op2(e20,e22) != e20
| e20 = op2(e20,e22) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(e20))]]) ).
cnf(refute_5_718,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(e20,op2(e20,e22)) )],[refute_5_717,refute_5_716]) ).
cnf(refute_5_719,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_5_704,refute_5_718]) ).
cnf(refute_5_720,plain,
op2(e22,e20) != op2(e22,e23),
inference(canonicalize,[],[normalize_5_67]) ).
cnf(refute_5_721,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(canonicalize,[],[normalize_5_68]) ).
cnf(refute_5_722,plain,
op2(e22,op2(e21,e22)) = op2(e22,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e22)))]]) ).
cnf(refute_5_723,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) != op2(e22,op2(e21,e22))
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_5_724,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) )],[refute_5_722,refute_5_723]) ).
cnf(refute_5_725,plain,
op2(e22,op2(e21,e22)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_5_62,refute_5_724]) ).
cnf(refute_5_726,plain,
( op2(e22,op2(e21,e22)) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) ),[1],$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_5_727,plain,
( op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,h4(e13))) )],[refute_5_725,refute_5_726]) ).
cnf(refute_5_728,plain,
op2(op2(e22,e21),e22) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) )],[refute_5_721,refute_5_727]) ).
cnf(refute_5_729,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_5_730,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) != op2(e22,h4(e13))
| op2(e22,h4(e13)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_5_731,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_5_729,refute_5_730]) ).
cnf(refute_5_732,plain,
op2(e22,h4(e13)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_5_74,refute_5_731]) ).
cnf(refute_5_733,plain,
( op2(e22,h4(e13)) != op2(e22,e20)
| op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_5_734,plain,
( op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e20)) )],[refute_5_732,refute_5_733]) ).
cnf(refute_5_735,plain,
op2(op2(e22,e21),e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) )],[refute_5_728,refute_5_734]) ).
cnf(refute_5_736,plain,
op2(op2(e22,e21),e22) = op2(op2(e22,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e22))]]) ).
cnf(refute_5_737,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) != op2(op2(e22,e21),e22)
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_5_738,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) )],[refute_5_736,refute_5_737]) ).
cnf(refute_5_739,plain,
op2(op2(e22,e21),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_698,refute_5_738]) ).
cnf(refute_5_740,plain,
( op2(op2(e22,e21),e22) != op2(e20,e22)
| op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_5_741,plain,
( op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e20,e22)) )],[refute_5_739,refute_5_740]) ).
cnf(refute_5_742,plain,
op2(e20,e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) )],[refute_5_735,refute_5_741]) ).
cnf(refute_5_743,plain,
( op2(e20,e22) != op2(e22,e20)
| op2(e22,e20) = op2(e20,e22) ),
inference(subst,[],[refute_5_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_5_744,plain,
op2(e22,e20) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e20)) )],[refute_5_742,refute_5_743]) ).
cnf(refute_5_745,plain,
( op2(e20,e22) != op2(e22,e23)
| op2(e22,e20) != op2(e20,e22)
| op2(e22,e20) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),op2(e20,e22)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_5_746,plain,
( op2(e20,e22) != op2(e22,e23)
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e20,e22)) )],[refute_5_744,refute_5_745]) ).
cnf(refute_5_747,plain,
( op2(e20,e22) != e21
| op2(e22,e23) != e21
| op2(e20,e22) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_5_748,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_5_689,refute_5_747]) ).
cnf(refute_5_749,plain,
( op2(e20,e22) != e21
| op2(e22,e20) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e23)) )],[refute_5_748,refute_5_746]) ).
cnf(refute_5_750,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e23)) )],[refute_5_749,refute_5_720]) ).
cnf(refute_5_751,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_5_719,refute_5_750]) ).
cnf(refute_5_752,plain,
op2(op2(e20,e22),e21) = op2(op2(e20,e22),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e21))]]) ).
cnf(refute_5_753,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) != op2(op2(e20,e22),e21)
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_5_754,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) )],[refute_5_752,refute_5_753]) ).
cnf(refute_5_755,plain,
op2(op2(e20,e22),e21) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_5_751,refute_5_754]) ).
cnf(refute_5_756,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) != op2(e22,e21)
| op2(op2(e20,e22),e21) = e20 ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(op2(e20,e22),e21))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_757,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e22,e21)) )],[refute_5_755,refute_5_756]) ).
cnf(refute_5_758,plain,
op2(op2(e20,e22),e21) = e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_5_698,refute_5_757]) ).
cnf(refute_5_759,plain,
( op2(op2(e20,e22),e21) != e20
| op2(op2(e20,e22),e21) != h1(e10)
| e20 = h1(e10) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e10)) ),[0],$fot(e20)]]) ).
cnf(refute_5_760,plain,
( op2(op2(e20,e22),e21) != h1(e10)
| e20 = h1(e10) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),e20) )],[refute_5_758,refute_5_759]) ).
cnf(refute_5_761,plain,
e20 = h1(e10),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e10)) )],[refute_5_666,refute_5_760]) ).
cnf(refute_5_762,plain,
( e20 != h1(e10)
| h1(e10) = e20 ),
inference(subst,[],[refute_5_6:[bind(X,$fot(e20)),bind(Y,$fot(h1(e10)))]]) ).
cnf(refute_5_763,plain,
h1(e10) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e10)) )],[refute_5_761,refute_5_762]) ).
cnf(refute_5_764,plain,
op2(h1(e10),e23) = op2(h1(e10),e23),
introduced(tautology,[refl,[$fot(op2(h1(e10),e23))]]) ).
cnf(refute_5_765,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_766,plain,
( h1(e10) != e20
| op2(h1(e10),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(h1(e10),e23)) )],[refute_5_764,refute_5_765]) ).
cnf(refute_5_767,plain,
op2(h1(e10),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h1(e10),e20) )],[refute_5_763,refute_5_766]) ).
cnf(refute_5_768,plain,
( op2(e20,e23) != h2(e13)
| op2(h1(e10),e23) != op2(e20,e23)
| op2(h1(e10),e23) = h2(e13) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h1(e10),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_5_769,plain,
( op2(e20,e23) != h2(e13)
| op2(h1(e10),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),op2(e20,e23)) )],[refute_5_767,refute_5_768]) ).
cnf(refute_5_770,plain,
op2(h1(e10),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_5_212,refute_5_769]) ).
cnf(refute_5_771,plain,
( op2(h1(e10),e23) != e23
| op2(h1(e10),e23) != h2(e13)
| h2(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e10),e23),e23) ),[0],$fot(h2(e13))]]) ).
cnf(refute_5_772,plain,
( op2(h1(e10),e23) != e23
| h2(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),h2(e13)) )],[refute_5_770,refute_5_771]) ).
cnf(refute_5_773,plain,
h2(e13) = e23,
inference(resolve,[$cnf( $equal(op2(h1(e10),e23),e23) )],[refute_5_643,refute_5_772]) ).
cnf(refute_5_774,plain,
op2(e23,h2(e13)) = op2(e23,h2(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_5_775,plain,
( h2(e13) != e23
| op2(e23,h2(e13)) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,h2(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_5_776,plain,
( h2(e13) != e23
| op2(e23,h2(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,h2(e13))) )],[refute_5_774,refute_5_775]) ).
cnf(refute_5_777,plain,
op2(e23,h2(e13)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_5_773,refute_5_776]) ).
cnf(refute_5_778,plain,
op2(h2(e13),h2(e13)) = op2(h2(e13),h2(e13)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h2(e13)))]]) ).
cnf(refute_5_779,plain,
( h2(e13) != e23
| op2(h2(e13),h2(e13)) != op2(h2(e13),h2(e13))
| op2(h2(e13),h2(e13)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_5_780,plain,
( h2(e13) != e23
| op2(h2(e13),h2(e13)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(h2(e13),h2(e13))) )],[refute_5_778,refute_5_779]) ).
cnf(refute_5_781,plain,
op2(h2(e13),h2(e13)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_5_773,refute_5_780]) ).
cnf(refute_5_782,plain,
( op2(e23,h2(e13)) != op2(e23,e23)
| op2(h2(e13),h2(e13)) != op2(e23,h2(e13))
| op2(h2(e13),h2(e13)) = op2(e23,e23) ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e23,h2(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_5_783,plain,
( op2(e23,h2(e13)) != op2(e23,e23)
| op2(h2(e13),h2(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e23,h2(e13))) )],[refute_5_781,refute_5_782]) ).
cnf(refute_5_784,plain,
op2(h2(e13),h2(e13)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),op2(e23,e23)) )],[refute_5_777,refute_5_783]) ).
cnf(refute_5_785,plain,
( op2(e23,e23) != e20
| op2(h2(e13),h2(e13)) != op2(e23,e23)
| op2(h2(e13),h2(e13)) = e20 ),
inference(subst,[],[refute_5_55:[bind(X,$fot(op2(h2(e13),h2(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_5_786,plain,
( op2(e23,e23) != e20
| op2(h2(e13),h2(e13)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),op2(e23,e23)) )],[refute_5_784,refute_5_785]) ).
cnf(refute_5_787,plain,
op2(h2(e13),h2(e13)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_5_567,refute_5_786]) ).
cnf(refute_5_788,plain,
( e20 != e20
| op2(h2(e13),h2(e13)) != e20
| e20 = op2(h2(e13),h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h2(e13),h2(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_5_789,plain,
( e20 != e20
| e20 = op2(h2(e13),h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h2(e13)),e20) )],[refute_5_787,refute_5_788]) ).
cnf(refute_5_790,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(e20,op2(h2(e13),h2(e13))) )],[refute_5_789,refute_5_562]) ).
cnf(refute_5_791,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_5_792,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_5_791,refute_5_790]) ).
fof(negate_6_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) )
=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(negate,[],[subgoal_6]) ).
fof(normalize_6_0,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_6_0]) ).
fof(normalize_6_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_6_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_6_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_6_3]) ).
fof(normalize_6_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_6_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_6_5]) ).
fof(normalize_6_7,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_6_0,normalize_6_2,normalize_6_4,normalize_6_6]) ).
fof(normalize_6_8,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(conjunct,[],[normalize_6_7]) ).
fof(normalize_6_9,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_6_10,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_11,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_12,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_13,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_6_3]) ).
fof(normalize_6_14,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_15,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_16,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_17,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_18,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_6_19,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_20,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_21,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_22,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_23,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_24,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_25,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_6_1]) ).
fof(normalize_6_26,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_6_18]) ).
fof(normalize_6_27,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_28,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_29,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_6_11]) ).
fof(normalize_6_30,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_6_9]) ).
fof(normalize_6_31,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_6_32,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_33,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_6_31]) ).
fof(normalize_6_34,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_6_9]) ).
cnf(refute_6_0,plain,
h4(op1(e11,e12)) != op2(h4(e11),h4(e12)),
inference(canonicalize,[],[normalize_6_8]) ).
cnf(refute_6_1,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_6_10]) ).
cnf(refute_6_2,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_6_12]) ).
cnf(refute_6_3,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_6_13]) ).
cnf(refute_6_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_6_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_6_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_6_4,refute_6_5]) ).
cnf(refute_6_7,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_6_8,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_6_3,refute_6_7]) ).
cnf(refute_6_9,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_6_10,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_6_11,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_6_9,refute_6_10]) ).
cnf(refute_6_12,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_8,refute_6_11]) ).
cnf(refute_6_13,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_6_14,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_6_12,refute_6_13]) ).
cnf(refute_6_15,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_6_2,refute_6_14]) ).
cnf(refute_6_16,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_6_14]) ).
cnf(refute_6_17,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_6_15]) ).
cnf(refute_6_18,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_6_19,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_20,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_6_18,refute_6_19]) ).
cnf(refute_6_21,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_8,refute_6_20]) ).
cnf(refute_6_22,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_6_23,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_6_21,refute_6_22]) ).
cnf(refute_6_24,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_6_17,refute_6_23]) ).
cnf(refute_6_25,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_6_26,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_6_24,refute_6_25]) ).
cnf(refute_6_27,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_6_16]) ).
cnf(refute_6_28,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_6_17]) ).
cnf(refute_6_29,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_6_19]) ).
cnf(refute_6_30,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_6_31,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_6_29,refute_6_30]) ).
cnf(refute_6_32,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_6_33,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_34,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_6_32,refute_6_33]) ).
cnf(refute_6_35,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_31,refute_6_34]) ).
cnf(refute_6_36,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_6_37,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_6_35,refute_6_36]) ).
cnf(refute_6_38,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_6_28,refute_6_37]) ).
cnf(refute_6_39,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_6_20]) ).
cnf(refute_6_40,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_6_21]) ).
cnf(refute_6_41,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_6_42,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_6_43,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_6_41,refute_6_42]) ).
cnf(refute_6_44,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_31,refute_6_43]) ).
cnf(refute_6_45,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_6_46,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_6_44,refute_6_45]) ).
cnf(refute_6_47,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_6_22]) ).
cnf(refute_6_48,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_6_49,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_6_47,refute_6_48]) ).
cnf(refute_6_50,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_6_51,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_6_49,refute_6_50]) ).
cnf(refute_6_52,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_6_46,refute_6_51]) ).
cnf(refute_6_53,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_6_40,refute_6_52]) ).
cnf(refute_6_54,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_6_55,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_56,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_6_54,refute_6_55]) ).
cnf(refute_6_57,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_53,refute_6_56]) ).
cnf(refute_6_58,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_6_59,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_6_57,refute_6_58]) ).
cnf(refute_6_60,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_6_23]) ).
cnf(refute_6_61,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_6_62,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_6_60,refute_6_61]) ).
cnf(refute_6_63,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_6_64,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_65,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_6_63,refute_6_64]) ).
cnf(refute_6_66,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_31,refute_6_65]) ).
cnf(refute_6_67,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_6_68,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_6_6,refute_6_67]) ).
cnf(refute_6_69,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_6_70,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_6_66,refute_6_69]) ).
cnf(refute_6_71,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_62,refute_6_70]) ).
cnf(refute_6_72,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_6_73,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_6_71,refute_6_72]) ).
cnf(refute_6_74,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_6_59,refute_6_73]) ).
cnf(refute_6_75,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_6_39,refute_6_74]) ).
cnf(refute_6_76,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_6_77,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_6_78,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_6_76,refute_6_77]) ).
cnf(refute_6_79,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_6_75,refute_6_78]) ).
cnf(refute_6_80,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_6_81,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_6_79,refute_6_80]) ).
cnf(refute_6_82,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_6_38,refute_6_81]) ).
cnf(refute_6_83,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_6_84,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_6_85,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_6_83,refute_6_84]) ).
cnf(refute_6_86,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_62,refute_6_85]) ).
cnf(refute_6_87,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_6_88,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_6_86,refute_6_87]) ).
cnf(refute_6_89,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_6_82,refute_6_88]) ).
cnf(refute_6_90,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_6_91,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_6_89,refute_6_90]) ).
cnf(refute_6_92,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_6_93,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_94,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_6_92,refute_6_93]) ).
cnf(refute_6_95,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_53,refute_6_94]) ).
cnf(refute_6_96,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_6_97,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_6_95,refute_6_96]) ).
cnf(refute_6_98,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_6_91,refute_6_97]) ).
cnf(refute_6_99,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_6_27,refute_6_98]) ).
cnf(refute_6_100,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_6_101,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_6_99,refute_6_100]) ).
cnf(refute_6_102,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_6_103,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_6_104,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_6_102,refute_6_103]) ).
cnf(refute_6_105,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_6_101,refute_6_104]) ).
cnf(refute_6_106,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_6_107,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_6_105,refute_6_106]) ).
cnf(refute_6_108,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_6_26,refute_6_107]) ).
cnf(refute_6_109,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_6_110,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_6_108,refute_6_109]) ).
cnf(refute_6_111,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_6_16,refute_6_110]) ).
cnf(refute_6_112,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_6_113,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_6_114,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_6_112,refute_6_113]) ).
cnf(refute_6_115,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_6_101,refute_6_114]) ).
cnf(refute_6_116,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_6_117,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_6_115,refute_6_116]) ).
cnf(refute_6_118,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_6_111,refute_6_117]) ).
cnf(refute_6_119,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_6_120,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_6_118,refute_6_119]) ).
cnf(refute_6_121,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_6_15,refute_6_120]) ).
cnf(refute_6_122,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_24]) ).
cnf(refute_6_123,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_6_124,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_6_125,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_6_123,refute_6_124]) ).
cnf(refute_6_126,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_62,refute_6_125]) ).
cnf(refute_6_127,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_6_128,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_6_126,refute_6_127]) ).
cnf(refute_6_129,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_6_122,refute_6_128]) ).
cnf(refute_6_130,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_6_25]) ).
cnf(refute_6_131,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_6_132,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_6_130,refute_6_131]) ).
cnf(refute_6_133,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_6_26]) ).
cnf(refute_6_134,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_6_135,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_6_136,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_6_134,refute_6_135]) ).
cnf(refute_6_137,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_6_49,refute_6_136]) ).
cnf(refute_6_138,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_6_139,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_6_137,refute_6_138]) ).
cnf(refute_6_140,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_6_75,refute_6_139]) ).
cnf(refute_6_141,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_6_142,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_6_140,refute_6_141]) ).
cnf(refute_6_143,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_6_133,refute_6_142]) ).
cnf(refute_6_144,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_6_145,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_6_143,refute_6_144]) ).
cnf(refute_6_146,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_6_147,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_6_148,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_6_146,refute_6_147]) ).
cnf(refute_6_149,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_145,refute_6_148]) ).
cnf(refute_6_150,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_6_151,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_6_149,refute_6_150]) ).
cnf(refute_6_152,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_6_132,refute_6_151]) ).
cnf(refute_6_153,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_6_154,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_6_152,refute_6_153]) ).
cnf(refute_6_155,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_6_129,refute_6_154]) ).
cnf(refute_6_156,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_6_27]) ).
cnf(refute_6_157,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_6_158,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_6_159,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_6_157,refute_6_158]) ).
cnf(refute_6_160,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_6_53,refute_6_159]) ).
cnf(refute_6_161,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_6_162,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_6_160,refute_6_161]) ).
cnf(refute_6_163,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_6_8,refute_6_162]) ).
cnf(refute_6_164,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_6_165,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_6_163,refute_6_164]) ).
cnf(refute_6_166,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_6_156,refute_6_165]) ).
cnf(refute_6_167,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_6_28]) ).
cnf(refute_6_168,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_6_169,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_170,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_6_168,refute_6_169]) ).
cnf(refute_6_171,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_6_31,refute_6_170]) ).
cnf(refute_6_172,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_6_173,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_6_171,refute_6_172]) ).
cnf(refute_6_174,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_6_167,refute_6_173]) ).
cnf(refute_6_175,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_6_176,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_177,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_6_175,refute_6_176]) ).
cnf(refute_6_178,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_145,refute_6_177]) ).
cnf(refute_6_179,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_6_180,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_6_178,refute_6_179]) ).
cnf(refute_6_181,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_6_82,refute_6_180]) ).
cnf(refute_6_182,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_6_183,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_6_181,refute_6_182]) ).
cnf(refute_6_184,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_6_185,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_6_186,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_6_184,refute_6_185]) ).
cnf(refute_6_187,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_6_183,refute_6_186]) ).
cnf(refute_6_188,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_6_189,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_6_187,refute_6_188]) ).
cnf(refute_6_190,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_6_174,refute_6_189]) ).
cnf(refute_6_191,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_6_192,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_6_190,refute_6_191]) ).
cnf(refute_6_193,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_6_166,refute_6_192]) ).
cnf(refute_6_194,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_6_195,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_196,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_6_194,refute_6_195]) ).
cnf(refute_6_197,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_6_193,refute_6_196]) ).
cnf(refute_6_198,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_6_199,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_6_197,refute_6_198]) ).
cnf(refute_6_200,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_6_121,refute_6_199]) ).
cnf(refute_6_201,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_6_202,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_6_200,refute_6_201]) ).
cnf(refute_6_203,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_6_155,refute_6_202]) ).
cnf(refute_6_204,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_6_205,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_6_203,refute_6_204]) ).
cnf(refute_6_206,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_6_121,refute_6_205]) ).
cnf(refute_6_207,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_29]) ).
cnf(refute_6_208,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_6_209,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_6_210,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_6_208,refute_6_209]) ).
cnf(refute_6_211,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_6_62,refute_6_210]) ).
cnf(refute_6_212,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_6_213,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_6_211,refute_6_212]) ).
cnf(refute_6_214,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_6_30]) ).
cnf(refute_6_215,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_6_216,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_6_214,refute_6_215]) ).
cnf(refute_6_217,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_6_218,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_6_216,refute_6_217]) ).
cnf(refute_6_219,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_6_213,refute_6_218]) ).
cnf(refute_6_220,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_6_207,refute_6_219]) ).
cnf(refute_6_221,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_6_222,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_6_223,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_6_221,refute_6_222]) ).
cnf(refute_6_224,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_6_145,refute_6_223]) ).
cnf(refute_6_225,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_6_226,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_6_224,refute_6_225]) ).
cnf(refute_6_227,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_6_193,refute_6_226]) ).
cnf(refute_6_228,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_6_229,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_6_227,refute_6_228]) ).
cnf(refute_6_230,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_6_220,refute_6_229]) ).
cnf(refute_6_231,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_6_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_6_232,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_6_230,refute_6_231]) ).
cnf(refute_6_233,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_6_234,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_6_216,refute_6_233]) ).
cnf(refute_6_235,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_232,refute_6_234]) ).
cnf(refute_6_236,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_6_237,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_238,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_6_236,refute_6_237]) ).
cnf(refute_6_239,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_6_235,refute_6_238]) ).
cnf(refute_6_240,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_6_241,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_6_239,refute_6_240]) ).
cnf(refute_6_242,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_6_206,refute_6_241]) ).
cnf(refute_6_243,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_6_244,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_6_242,refute_6_243]) ).
cnf(refute_6_245,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_6_1,refute_6_244]) ).
cnf(refute_6_246,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_6_32]) ).
cnf(refute_6_247,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_6_33]) ).
cnf(refute_6_248,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_6_249,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_6_247,refute_6_248]) ).
cnf(refute_6_250,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_6_251,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_6_252,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_6_250,refute_6_251]) ).
cnf(refute_6_253,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_6_249,refute_6_252]) ).
cnf(refute_6_254,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_6_255,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_6_253,refute_6_254]) ).
cnf(refute_6_256,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_6_246,refute_6_255]) ).
cnf(refute_6_257,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_6_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_6_258,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_6_256,refute_6_257]) ).
cnf(refute_6_259,plain,
h4(op1(e11,e12)) = h4(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e12)))]]) ).
cnf(refute_6_260,plain,
( h4(op1(e11,e12)) != h4(op1(e11,e12))
| op1(e11,e12) != e10
| h4(op1(e11,e12)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_6_261,plain,
( op1(e11,e12) != e10
| h4(op1(e11,e12)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(op1(e11,e12))) )],[refute_6_259,refute_6_260]) ).
cnf(refute_6_262,plain,
h4(op1(e11,e12)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_6_258,refute_6_261]) ).
cnf(refute_6_263,plain,
( h4(e10) != h1(e13)
| h4(op1(e11,e12)) != h4(e10)
| h4(op1(e11,e12)) = h1(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(h4(op1(e11,e12)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_6_264,plain,
( h4(e10) != h1(e13)
| h4(op1(e11,e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h4(e10)) )],[refute_6_262,refute_6_263]) ).
cnf(refute_6_265,plain,
h4(op1(e11,e12)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_6_245,refute_6_264]) ).
cnf(refute_6_266,plain,
( h1(e13) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) != h1(e13)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e12)),h1(e13)) ),[1],$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_6_267,plain,
( h1(e13) != op2(h4(e11),h4(e12))
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),h1(e13)) )],[refute_6_265,refute_6_266]) ).
cnf(refute_6_268,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_6_34]) ).
cnf(refute_6_269,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e12)))]]) ).
cnf(refute_6_270,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_6_271,plain,
( h4(e12) != e23
| op2(h2(e13),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_6_269,refute_6_270]) ).
cnf(refute_6_272,plain,
op2(h2(e13),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_6_268,refute_6_271]) ).
cnf(refute_6_273,plain,
op2(h4(e11),h4(e12)) = op2(h4(e11),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e12)))]]) ).
cnf(refute_6_274,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) != op2(h4(e11),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_6_275,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h4(e11),h4(e12))) )],[refute_6_273,refute_6_274]) ).
cnf(refute_6_276,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_6_232,refute_6_275]) ).
cnf(refute_6_277,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) != op2(h2(e13),h4(e12))
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),h4(e12)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_6_278,plain,
( op2(h2(e13),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),h4(e12))) )],[refute_6_276,refute_6_277]) ).
cnf(refute_6_279,plain,
op2(h4(e11),h4(e12)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e12)),op2(h2(e13),e23)) )],[refute_6_272,refute_6_278]) ).
cnf(refute_6_280,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(h4(e11),h4(e12)) != op2(h2(e13),e23)
| op2(h4(e11),h4(e12)) = h1(e13) ),
inference(subst,[],[refute_6_68:[bind(X,$fot(op2(h4(e11),h4(e12)))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_6_281,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(h4(e11),h4(e12)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),op2(h2(e13),e23)) )],[refute_6_279,refute_6_280]) ).
cnf(refute_6_282,plain,
op2(h4(e11),h4(e12)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_6_206,refute_6_281]) ).
cnf(refute_6_283,plain,
( h1(e13) != h1(e13)
| op2(h4(e11),h4(e12)) != h1(e13)
| h1(e13) = op2(h4(e11),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(h4(e11),h4(e12))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_6_284,plain,
( h1(e13) != h1(e13)
| h1(e13) = op2(h4(e11),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e12)),h1(e13)) )],[refute_6_282,refute_6_283]) ).
cnf(refute_6_285,plain,
( h1(e13) != h1(e13)
| h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h4(e11),h4(e12))) )],[refute_6_284,refute_6_267]) ).
cnf(refute_6_286,plain,
h1(e13) != h1(e13),
inference(resolve,[$cnf( $equal(h4(op1(e11,e12)),op2(h4(e11),h4(e12))) )],[refute_6_285,refute_6_0]) ).
cnf(refute_6_287,plain,
h1(e13) = h1(e13),
introduced(tautology,[refl,[$fot(h1(e13))]]) ).
cnf(refute_6_288,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e13),h1(e13)) )],[refute_6_287,refute_6_286]) ).
fof(negate_7_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) )
=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(negate,[],[subgoal_7]) ).
fof(normalize_7_0,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_7_0]) ).
fof(normalize_7_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_7_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_7_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_7_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_7_5]) ).
fof(normalize_7_7,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_7_0,normalize_7_2,normalize_7_4,normalize_7_6]) ).
fof(normalize_7_8,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_9,plain,
( 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_10,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_7_9]) ).
fof(normalize_7_11,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_7_12,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_7_11]) ).
fof(normalize_7_13,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_7_11]) ).
fof(normalize_7_14,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_7_11]) ).
fof(normalize_7_15,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_7_7]) ).
fof(normalize_7_16,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_17,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_18,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_7_1]) ).
fof(normalize_7_19,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_20,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_7_3]) ).
fof(normalize_7_21,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_22,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_7_23,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_24,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_25,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_26,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_27,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_28,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_7_29,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_30,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_7_22]) ).
fof(normalize_7_31,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_32,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_33,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_34,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_35,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_36,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_37,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_38,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_39,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_7_28]) ).
fof(normalize_7_40,plain,
op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_41,plain,
op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_42,plain,
op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_43,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_7_16]) ).
fof(normalize_7_44,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(conjunct,[],[normalize_7_16]) ).
cnf(refute_7_0,plain,
h4(op1(e11,e13)) != op2(h4(e11),h4(e13)),
inference(canonicalize,[],[normalize_7_8]) ).
cnf(refute_7_1,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_7_10]) ).
cnf(refute_7_2,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_7_12]) ).
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( $equal(X,X) )],[refute_7_3,refute_7_4]) ).
cnf(refute_7_6,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_7_7,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_7_2,refute_7_6]) ).
cnf(refute_7_8,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_7_9,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_7_10,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_7_8,refute_7_9]) ).
cnf(refute_7_11,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_7_7,refute_7_10]) ).
cnf(refute_7_12,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_7_13,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_7_11,refute_7_12]) ).
cnf(refute_7_14,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_7_1,refute_7_13]) ).
cnf(refute_7_15,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_7_13]) ).
cnf(refute_7_16,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_7_14]) ).
cnf(refute_7_17,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_7_18,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_7_16,refute_7_17]) ).
cnf(refute_7_19,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_7_20,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_7_21,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_7_19,refute_7_20]) ).
cnf(refute_7_22,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_7_18,refute_7_21]) ).
cnf(refute_7_23,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_7_24,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_7_22,refute_7_23]) ).
cnf(refute_7_25,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_7_15,refute_7_24]) ).
cnf(refute_7_26,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_7_27,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_7_25,refute_7_26]) ).
cnf(refute_7_28,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_7_29,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_7_30,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_7_28,refute_7_29]) ).
cnf(refute_7_31,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_7_27,refute_7_30]) ).
cnf(refute_7_32,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_7_33,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_7_31,refute_7_32]) ).
cnf(refute_7_34,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_7_14,refute_7_33]) ).
cnf(refute_7_35,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_7_36,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_7_34,refute_7_35]) ).
cnf(refute_7_37,plain,
h4(op1(e11,e13)) = h4(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e11,e13)))]]) ).
cnf(refute_7_38,plain,
( h4(op1(e11,e13)) != h4(op1(e11,e13))
| op1(e11,e13) != op1(e10,e12)
| h4(op1(e11,e13)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_7_39,plain,
( op1(e11,e13) != op1(e10,e12)
| h4(op1(e11,e13)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e11,e13))) )],[refute_7_37,refute_7_38]) ).
cnf(refute_7_40,plain,
h4(op1(e11,e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_7_36,refute_7_39]) ).
cnf(refute_7_41,plain,
( h4(op1(e10,e12)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) != h4(op1(e10,e12))
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e10,e12))) ),[1],$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_7_42,plain,
( h4(op1(e10,e12)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),h4(op1(e10,e12))) )],[refute_7_40,refute_7_41]) ).
cnf(refute_7_43,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_7_15]) ).
cnf(refute_7_44,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_7_17]) ).
cnf(refute_7_45,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_7_18]) ).
cnf(refute_7_46,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_7_47,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_7_45,refute_7_46]) ).
cnf(refute_7_48,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_7_49,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_7_50,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_7_48,refute_7_49]) ).
cnf(refute_7_51,plain,
op2(op2(e20,e20),e23) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_47,refute_7_50]) ).
cnf(refute_7_52,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_7_53,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h1(e13),e23)) )],[refute_7_51,refute_7_52]) ).
cnf(refute_7_54,plain,
op2(h1(e13),e23) = op2(e20,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_7_44,refute_7_53]) ).
cnf(refute_7_55,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_7_19]) ).
cnf(refute_7_56,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_7_20]) ).
cnf(refute_7_57,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_7_58,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_7_56,refute_7_57]) ).
cnf(refute_7_59,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_7_21]) ).
cnf(refute_7_60,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_7_23]) ).
cnf(refute_7_61,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_7_62,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_7_60,refute_7_61]) ).
cnf(refute_7_63,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_7_64,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_7_65,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_7_63,refute_7_64]) ).
cnf(refute_7_66,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_62,refute_7_65]) ).
cnf(refute_7_67,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_7_68,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_7_66,refute_7_67]) ).
cnf(refute_7_69,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_7_24]) ).
cnf(refute_7_70,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_7_71,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_7_69,refute_7_70]) ).
cnf(refute_7_72,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_7_73,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_7_71,refute_7_72]) ).
cnf(refute_7_74,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_7_68,refute_7_73]) ).
cnf(refute_7_75,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_7_59,refute_7_74]) ).
cnf(refute_7_76,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_7_77,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_78,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_7_76,refute_7_77]) ).
cnf(refute_7_79,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_7_75,refute_7_78]) ).
cnf(refute_7_80,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_7_81,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_7_5,refute_7_80]) ).
cnf(refute_7_82,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_7_83,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_7_79,refute_7_82]) ).
cnf(refute_7_84,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_58,refute_7_83]) ).
cnf(refute_7_85,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_7_86,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_7_84,refute_7_85]) ).
cnf(refute_7_87,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_7_55,refute_7_86]) ).
cnf(refute_7_88,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_7_25]) ).
cnf(refute_7_89,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_7_90,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_91,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_7_89,refute_7_90]) ).
cnf(refute_7_92,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_62,refute_7_91]) ).
cnf(refute_7_93,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_7_94,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_7_92,refute_7_93]) ).
cnf(refute_7_95,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_7_88,refute_7_94]) ).
cnf(refute_7_96,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_7_26]) ).
cnf(refute_7_97,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_7_98,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_99,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_7_97,refute_7_98]) ).
cnf(refute_7_100,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_62,refute_7_99]) ).
cnf(refute_7_101,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_102,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_7_100,refute_7_101]) ).
cnf(refute_7_103,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_7_96,refute_7_102]) ).
cnf(refute_7_104,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_7_27]) ).
cnf(refute_7_105,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_7_106,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_107,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_7_105,refute_7_106]) ).
cnf(refute_7_108,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_7_75,refute_7_107]) ).
cnf(refute_7_109,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_7_110,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_7_108,refute_7_109]) ).
cnf(refute_7_111,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_7_29]) ).
cnf(refute_7_112,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_7_113,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_7_111,refute_7_112]) ).
cnf(refute_7_114,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_7_115,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_116,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_7_114,refute_7_115]) ).
cnf(refute_7_117,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_7_62,refute_7_116]) ).
cnf(refute_7_118,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_7_119,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_7_117,refute_7_118]) ).
cnf(refute_7_120,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_113,refute_7_119]) ).
cnf(refute_7_121,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_7_122,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_7_120,refute_7_121]) ).
cnf(refute_7_123,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_7_110,refute_7_122]) ).
cnf(refute_7_124,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_7_104,refute_7_123]) ).
cnf(refute_7_125,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_7_126,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_7_127,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_7_125,refute_7_126]) ).
cnf(refute_7_128,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_7_124,refute_7_127]) ).
cnf(refute_7_129,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_7_130,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_7_128,refute_7_129]) ).
cnf(refute_7_131,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_7_103,refute_7_130]) ).
cnf(refute_7_132,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_7_30]) ).
cnf(refute_7_133,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_7_134,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_7_135,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_7_133,refute_7_134]) ).
cnf(refute_7_136,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_7_71,refute_7_135]) ).
cnf(refute_7_137,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_7_138,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_7_136,refute_7_137]) ).
cnf(refute_7_139,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_7_124,refute_7_138]) ).
cnf(refute_7_140,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_7_141,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_7_139,refute_7_140]) ).
cnf(refute_7_142,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_7_132,refute_7_141]) ).
cnf(refute_7_143,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_7_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_7_144,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_7_142,refute_7_143]) ).
cnf(refute_7_145,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_7_146,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_147,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_7_145,refute_7_146]) ).
cnf(refute_7_148,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_144,refute_7_147]) ).
cnf(refute_7_149,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_7_150,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_7_148,refute_7_149]) ).
cnf(refute_7_151,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_7_131,refute_7_150]) ).
cnf(refute_7_152,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_7_153,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_7_151,refute_7_152]) ).
cnf(refute_7_154,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_7_155,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_7_156,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_7_154,refute_7_155]) ).
cnf(refute_7_157,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_7_153,refute_7_156]) ).
cnf(refute_7_158,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_7_159,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_7_157,refute_7_158]) ).
cnf(refute_7_160,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_7_95,refute_7_159]) ).
cnf(refute_7_161,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_7_162,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_7_160,refute_7_161]) ).
cnf(refute_7_163,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_7_87,refute_7_162]) ).
cnf(refute_7_164,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_7_165,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_7_166,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_7_164,refute_7_165]) ).
cnf(refute_7_167,plain,
op2(e20,op2(e20,e23)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_7_163,refute_7_166]) ).
cnf(refute_7_168,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_7_169,plain,
( op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h2(e13))) )],[refute_7_167,refute_7_168]) ).
cnf(refute_7_170,plain,
op2(h1(e13),e23) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) )],[refute_7_54,refute_7_169]) ).
cnf(refute_7_171,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_7_31]) ).
cnf(refute_7_172,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_7_173,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_7_174,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_7_172,refute_7_173]) ).
cnf(refute_7_175,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_7_171,refute_7_174]) ).
cnf(refute_7_176,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_7_32]) ).
cnf(refute_7_177,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_7_33]) ).
cnf(refute_7_178,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_7_179,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_7_180,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_7_178,refute_7_179]) ).
cnf(refute_7_181,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_58,refute_7_180]) ).
cnf(refute_7_182,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_7_183,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_7_181,refute_7_182]) ).
cnf(refute_7_184,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_7_177,refute_7_183]) ).
cnf(refute_7_185,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_7_34]) ).
cnf(refute_7_186,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_7_35]) ).
cnf(refute_7_187,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_7_188,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_189,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_7_187,refute_7_188]) ).
cnf(refute_7_190,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_58,refute_7_189]) ).
cnf(refute_7_191,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_7_192,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_7_190,refute_7_191]) ).
cnf(refute_7_193,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_7_186,refute_7_192]) ).
cnf(refute_7_194,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_7_195,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_7_193,refute_7_194]) ).
cnf(refute_7_196,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_7_36]) ).
cnf(refute_7_197,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_7_198,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_7_199,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_7_197,refute_7_198]) ).
cnf(refute_7_200,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_113,refute_7_199]) ).
cnf(refute_7_201,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_7_202,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_7_200,refute_7_201]) ).
cnf(refute_7_203,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_7_131,refute_7_202]) ).
cnf(refute_7_204,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_7_205,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_7_203,refute_7_204]) ).
cnf(refute_7_206,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_7_207,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_208,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_7_206,refute_7_207]) ).
cnf(refute_7_209,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_7_75,refute_7_208]) ).
cnf(refute_7_210,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_7_211,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_7_209,refute_7_210]) ).
cnf(refute_7_212,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_7_205,refute_7_211]) ).
cnf(refute_7_213,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_7_196,refute_7_212]) ).
cnf(refute_7_214,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_7_215,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_7_213,refute_7_214]) ).
cnf(refute_7_216,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_7_217,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_7_218,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_7_216,refute_7_217]) ).
cnf(refute_7_219,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_7_215,refute_7_218]) ).
cnf(refute_7_220,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_7_221,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_7_219,refute_7_220]) ).
cnf(refute_7_222,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_7_195,refute_7_221]) ).
cnf(refute_7_223,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_7_224,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_7_222,refute_7_223]) ).
cnf(refute_7_225,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_7_185,refute_7_224]) ).
cnf(refute_7_226,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_7_227,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_7_228,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_7_226,refute_7_227]) ).
cnf(refute_7_229,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_7_215,refute_7_228]) ).
cnf(refute_7_230,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_7_231,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_7_229,refute_7_230]) ).
cnf(refute_7_232,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_7_225,refute_7_231]) ).
cnf(refute_7_233,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_7_234,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_7_232,refute_7_233]) ).
cnf(refute_7_235,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_7_184,refute_7_234]) ).
cnf(refute_7_236,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_7_37]) ).
cnf(refute_7_237,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_7_238,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_7_239,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_7_237,refute_7_238]) ).
cnf(refute_7_240,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_113,refute_7_239]) ).
cnf(refute_7_241,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_7_242,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_7_240,refute_7_241]) ).
cnf(refute_7_243,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_7_236,refute_7_242]) ).
cnf(refute_7_244,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_7_245,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_246,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_7_244,refute_7_245]) ).
cnf(refute_7_247,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_144,refute_7_246]) ).
cnf(refute_7_248,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_7_249,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_7_247,refute_7_248]) ).
cnf(refute_7_250,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_7_47,refute_7_249]) ).
cnf(refute_7_251,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_7_252,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_7_250,refute_7_251]) ).
cnf(refute_7_253,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_7_243,refute_7_252]) ).
cnf(refute_7_254,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_7_255,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_256,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_7_254,refute_7_255]) ).
cnf(refute_7_257,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_7_163,refute_7_256]) ).
cnf(refute_7_258,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_7_259,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_7_257,refute_7_258]) ).
cnf(refute_7_260,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_7_235,refute_7_259]) ).
cnf(refute_7_261,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_7_262,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_7_260,refute_7_261]) ).
cnf(refute_7_263,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_7_253,refute_7_262]) ).
cnf(refute_7_264,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_7_265,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_7_263,refute_7_264]) ).
cnf(refute_7_266,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_7_235,refute_7_265]) ).
cnf(refute_7_267,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_7_38]) ).
cnf(refute_7_268,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_7_269,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_7_270,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_7_268,refute_7_269]) ).
cnf(refute_7_271,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_7_113,refute_7_270]) ).
cnf(refute_7_272,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_7_273,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_7_271,refute_7_272]) ).
cnf(refute_7_274,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_7_39]) ).
cnf(refute_7_275,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_7_276,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_7_274,refute_7_275]) ).
cnf(refute_7_277,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_7_278,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_7_276,refute_7_277]) ).
cnf(refute_7_279,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_7_273,refute_7_278]) ).
cnf(refute_7_280,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_7_267,refute_7_279]) ).
cnf(refute_7_281,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_7_282,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_7_283,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_7_281,refute_7_282]) ).
cnf(refute_7_284,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_144,refute_7_283]) ).
cnf(refute_7_285,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_7_286,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_7_284,refute_7_285]) ).
cnf(refute_7_287,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_7_163,refute_7_286]) ).
cnf(refute_7_288,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_7_289,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_7_287,refute_7_288]) ).
cnf(refute_7_290,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_7_280,refute_7_289]) ).
cnf(refute_7_291,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_7_292,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_7_290,refute_7_291]) ).
cnf(refute_7_293,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_7_294,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_7_276,refute_7_293]) ).
cnf(refute_7_295,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_292,refute_7_294]) ).
cnf(refute_7_296,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_7_297,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_298,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_7_296,refute_7_297]) ).
cnf(refute_7_299,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_7_295,refute_7_298]) ).
cnf(refute_7_300,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_7_301,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_7_299,refute_7_300]) ).
cnf(refute_7_302,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_7_266,refute_7_301]) ).
cnf(refute_7_303,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_7_304,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_7_302,refute_7_303]) ).
cnf(refute_7_305,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_7_176,refute_7_304]) ).
cnf(refute_7_306,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_307,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_7_308,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_7_306,refute_7_307]) ).
cnf(refute_7_309,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_7_305,refute_7_308]) ).
cnf(refute_7_310,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_7_311,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_7_309,refute_7_310]) ).
cnf(refute_7_312,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_7_175,refute_7_311]) ).
cnf(refute_7_313,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),e23))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_7_314,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_7_312,refute_7_313]) ).
cnf(refute_7_315,plain,
op2(h4(e10),h4(e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_7_170,refute_7_314]) ).
cnf(refute_7_316,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_7_317,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h2(e13))) )],[refute_7_315,refute_7_316]) ).
cnf(refute_7_318,plain,
h4(op1(e10,e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_7_43,refute_7_317]) ).
cnf(refute_7_319,plain,
( h4(op1(e10,e12)) != op2(e20,h2(e13))
| op2(e20,h2(e13)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_7_320,plain,
op2(e20,h2(e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) )],[refute_7_318,refute_7_319]) ).
cnf(refute_7_321,plain,
op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
inference(canonicalize,[],[normalize_7_40]) ).
cnf(refute_7_322,plain,
op2(op2(e21,e21),e20) = op2(op2(e21,e21),e20),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e20))]]) ).
cnf(refute_7_323,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e20) != op2(op2(e21,e21),e20)
| op2(op2(e21,e21),e20) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e20),op2(op2(e21,e21),e20)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_324,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e20) = op2(h2(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(op2(e21,e21),e20)) )],[refute_7_322,refute_7_323]) ).
cnf(refute_7_325,plain,
op2(op2(e21,e21),e20) = op2(h2(e13),e20),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_58,refute_7_324]) ).
cnf(refute_7_326,plain,
( op2(op2(e21,e21),e20) != op2(e21,op2(e21,e20))
| op2(op2(e21,e21),e20) != op2(h2(e13),e20)
| op2(h2(e13),e20) = op2(e21,op2(e21,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e20),op2(e21,op2(e21,e20))) ),[0],$fot(op2(h2(e13),e20))]]) ).
cnf(refute_7_327,plain,
( op2(op2(e21,e21),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e21,op2(e21,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(h2(e13),e20)) )],[refute_7_325,refute_7_326]) ).
cnf(refute_7_328,plain,
op2(h2(e13),e20) = op2(e21,op2(e21,e20)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(e21,op2(e21,e20))) )],[refute_7_321,refute_7_327]) ).
cnf(refute_7_329,plain,
op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
inference(canonicalize,[],[normalize_7_41]) ).
cnf(refute_7_330,plain,
op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
inference(canonicalize,[],[normalize_7_42]) ).
cnf(refute_7_331,plain,
op2(e20,op2(e21,e21)) = op2(e20,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e21)))]]) ).
cnf(refute_7_332,plain,
( op2(e20,op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(e21,e21) != h2(e13)
| op2(e20,op2(e21,e21)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_7_333,plain,
( op2(e21,e21) != h2(e13)
| op2(e20,op2(e21,e21)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_7_331,refute_7_332]) ).
cnf(refute_7_334,plain,
op2(e20,op2(e21,e21)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_58,refute_7_333]) ).
cnf(refute_7_335,plain,
( op2(e20,op2(e21,e21)) != op2(e20,h2(e13))
| op2(op2(e20,e21),e21) != op2(e20,op2(e21,e21))
| op2(op2(e20,e21),e21) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,op2(e21,e21))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_7_336,plain,
( op2(op2(e20,e21),e21) != op2(e20,op2(e21,e21))
| op2(op2(e20,e21),e21) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,h2(e13))) )],[refute_7_334,refute_7_335]) ).
cnf(refute_7_337,plain,
op2(op2(e20,e21),e21) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,op2(e21,e21))) )],[refute_7_330,refute_7_336]) ).
cnf(refute_7_338,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_7_43]) ).
cnf(refute_7_339,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_7_340,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_7_341,plain,
( op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_7_339,refute_7_340]) ).
cnf(refute_7_342,plain,
op2(e20,op2(e23,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_7_75,refute_7_341]) ).
cnf(refute_7_343,plain,
( op2(e20,op2(e23,e22)) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_7_344,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,e21)) )],[refute_7_342,refute_7_343]) ).
cnf(refute_7_345,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_7_338,refute_7_344]) ).
cnf(refute_7_346,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(canonicalize,[],[normalize_7_44]) ).
cnf(refute_7_347,plain,
op2(op2(e21,e21),e22) = op2(op2(e21,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e22))]]) ).
cnf(refute_7_348,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) != op2(op2(e21,e21),e22)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_349,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) )],[refute_7_347,refute_7_348]) ).
cnf(refute_7_350,plain,
op2(op2(e21,e21),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_7_58,refute_7_349]) ).
cnf(refute_7_351,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(op2(e21,e21),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) ),[0],$fot(op2(h2(e13),e22))]]) ).
cnf(refute_7_352,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(h2(e13),e22)) )],[refute_7_350,refute_7_351]) ).
cnf(refute_7_353,plain,
op2(h2(e13),e22) = op2(e21,op2(e21,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) )],[refute_7_346,refute_7_352]) ).
cnf(refute_7_354,plain,
op2(e21,op2(e21,e22)) = op2(e21,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e22)))]]) ).
cnf(refute_7_355,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) != op2(e21,op2(e21,e22))
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_7_356,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) )],[refute_7_354,refute_7_355]) ).
cnf(refute_7_357,plain,
op2(e21,op2(e21,e22)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_7_124,refute_7_356]) ).
cnf(refute_7_358,plain,
( op2(e21,op2(e21,e22)) != op2(e21,h4(e13))
| op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_7_359,plain,
( op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,h4(e13))) )],[refute_7_357,refute_7_358]) ).
cnf(refute_7_360,plain,
op2(h2(e13),e22) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) )],[refute_7_353,refute_7_359]) ).
cnf(refute_7_361,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_7_362,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_363,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_7_361,refute_7_362]) ).
cnf(refute_7_364,plain,
op2(e21,h4(e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_144,refute_7_363]) ).
cnf(refute_7_365,plain,
( op2(e21,h4(e13)) != op2(e21,e20)
| op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_7_366,plain,
( op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_7_364,refute_7_365]) ).
cnf(refute_7_367,plain,
op2(h2(e13),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) )],[refute_7_360,refute_7_366]) ).
cnf(refute_7_368,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_7_369,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_370,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_7_368,refute_7_369]) ).
cnf(refute_7_371,plain,
op2(op2(e20,e23),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_7_163,refute_7_370]) ).
cnf(refute_7_372,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) != op2(h2(e13),e22)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e20,e23),e22))),bind(Y,$fot(op2(h2(e13),e22))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_7_373,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h2(e13),e22)) )],[refute_7_371,refute_7_372]) ).
cnf(refute_7_374,plain,
op2(op2(e20,e23),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_7_367,refute_7_373]) ).
cnf(refute_7_375,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e21,e20)
| op2(e21,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_7_376,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(e21,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e21,e20)) )],[refute_7_374,refute_7_375]) ).
cnf(refute_7_377,plain,
op2(e21,e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) )],[refute_7_345,refute_7_376]) ).
cnf(refute_7_378,plain,
op2(op2(e21,e20),e21) = op2(op2(e21,e20),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e21))]]) ).
cnf(refute_7_379,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e21) != op2(op2(e21,e20),e21)
| op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e21,e20),e21)) ),[1,0],$fot(op2(e20,e21))]]) ).
cnf(refute_7_380,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e21,e20),e21)) )],[refute_7_378,refute_7_379]) ).
cnf(refute_7_381,plain,
op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_7_377,refute_7_380]) ).
cnf(refute_7_382,plain,
( op2(op2(e20,e21),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) != op2(op2(e20,e21),e21)
| op2(op2(e21,e20),e21) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(op2(e21,e20),e21))),bind(Y,$fot(op2(op2(e20,e21),e21))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_7_383,plain,
( op2(op2(e20,e21),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e20,e21),e21)) )],[refute_7_381,refute_7_382]) ).
cnf(refute_7_384,plain,
op2(op2(e21,e20),e21) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,h2(e13))) )],[refute_7_337,refute_7_383]) ).
cnf(refute_7_385,plain,
( op2(op2(e21,e20),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) != op2(e21,op2(e20,e21))
| op2(e20,h2(e13)) = op2(e21,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e21,op2(e20,e21))) ),[0],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_7_386,plain,
( op2(op2(e21,e20),e21) != op2(e21,op2(e20,e21))
| op2(e20,h2(e13)) = op2(e21,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e20,h2(e13))) )],[refute_7_384,refute_7_385]) ).
cnf(refute_7_387,plain,
op2(e20,h2(e13)) = op2(e21,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e21,op2(e20,e21))) )],[refute_7_329,refute_7_386]) ).
cnf(refute_7_388,plain,
( op2(e20,h2(e13)) != op2(e21,op2(e20,e21))
| op2(e21,op2(e20,e21)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_7_5:[bind(X,$fot(op2(e20,h2(e13)))),bind(Y,$fot(op2(e21,op2(e20,e21))))]]) ).
cnf(refute_7_389,plain,
op2(e21,op2(e20,e21)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e21,op2(e20,e21))) )],[refute_7_387,refute_7_388]) ).
cnf(refute_7_390,plain,
op2(e21,op2(e21,e20)) = op2(e21,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e20)))]]) ).
cnf(refute_7_391,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,op2(e21,e20)) != op2(e21,op2(e21,e20))
| op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) ),[1,1],$fot(op2(e20,e21))]]) ).
cnf(refute_7_392,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) )],[refute_7_390,refute_7_391]) ).
cnf(refute_7_393,plain,
op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_7_377,refute_7_392]) ).
cnf(refute_7_394,plain,
( op2(e21,op2(e20,e21)) != op2(e20,h2(e13))
| op2(e21,op2(e21,e20)) != op2(e21,op2(e20,e21))
| op2(e21,op2(e21,e20)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(e21,op2(e21,e20)))),bind(Y,$fot(op2(e21,op2(e20,e21)))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_7_395,plain,
( op2(e21,op2(e20,e21)) != op2(e20,h2(e13))
| op2(e21,op2(e21,e20)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e20,e21))) )],[refute_7_393,refute_7_394]) ).
cnf(refute_7_396,plain,
op2(e21,op2(e21,e20)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e21)),op2(e20,h2(e13))) )],[refute_7_389,refute_7_395]) ).
cnf(refute_7_397,plain,
( op2(e21,op2(e21,e20)) != op2(e20,h2(e13))
| op2(h2(e13),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e20),op2(e21,op2(e21,e20))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_7_398,plain,
( op2(h2(e13),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e20,h2(e13))) )],[refute_7_396,refute_7_397]) ).
cnf(refute_7_399,plain,
op2(h2(e13),e20) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e20),op2(e21,op2(e21,e20))) )],[refute_7_328,refute_7_398]) ).
cnf(refute_7_400,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(h2(e13),e20) != op2(e20,h2(e13))
| op2(h2(e13),e20) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(h2(e13),e20))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_7_401,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(h2(e13),e20) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e20),op2(e20,h2(e13))) )],[refute_7_399,refute_7_400]) ).
cnf(refute_7_402,plain,
op2(h2(e13),e20) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),h4(op1(e10,e12))) )],[refute_7_320,refute_7_401]) ).
cnf(refute_7_403,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h2(e13),h4(e13)))]]) ).
cnf(refute_7_404,plain,
( h4(e13) != e20
| op2(h2(e13),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h2(e13),h4(e13)) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_7_405,plain,
( h4(e13) != e20
| op2(h2(e13),h4(e13)) = op2(h2(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_7_403,refute_7_404]) ).
cnf(refute_7_406,plain,
op2(h2(e13),h4(e13)) = op2(h2(e13),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_7_144,refute_7_405]) ).
cnf(refute_7_407,plain,
op2(h4(e11),h4(e13)) = op2(h4(e11),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e11),h4(e13)))]]) ).
cnf(refute_7_408,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) != op2(h4(e11),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_7_409,plain,
( h4(e11) != h2(e13)
| op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h4(e11),h4(e13))) )],[refute_7_407,refute_7_408]) ).
cnf(refute_7_410,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_7_292,refute_7_409]) ).
cnf(refute_7_411,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e20)
| op2(h4(e11),h4(e13)) != op2(h2(e13),h4(e13))
| op2(h4(e11),h4(e13)) = op2(h2(e13),e20) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),h4(e13)))),bind(Z,$fot(op2(h2(e13),e20)))]]) ).
cnf(refute_7_412,plain,
( op2(h2(e13),h4(e13)) != op2(h2(e13),e20)
| op2(h4(e11),h4(e13)) = op2(h2(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),h4(e13))) )],[refute_7_410,refute_7_411]) ).
cnf(refute_7_413,plain,
op2(h4(e11),h4(e13)) = op2(h2(e13),e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),h4(e13)),op2(h2(e13),e20)) )],[refute_7_406,refute_7_412]) ).
cnf(refute_7_414,plain,
( op2(h2(e13),e20) != h4(op1(e10,e12))
| op2(h4(e11),h4(e13)) != op2(h2(e13),e20)
| op2(h4(e11),h4(e13)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_7_81:[bind(X,$fot(op2(h4(e11),h4(e13)))),bind(Y,$fot(op2(h2(e13),e20))),bind(Z,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_7_415,plain,
( op2(h2(e13),e20) != h4(op1(e10,e12))
| op2(h4(e11),h4(e13)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),op2(h2(e13),e20)) )],[refute_7_413,refute_7_414]) ).
cnf(refute_7_416,plain,
op2(h4(e11),h4(e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e20),h4(op1(e10,e12))) )],[refute_7_402,refute_7_415]) ).
cnf(refute_7_417,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op2(h4(e11),h4(e13)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = op2(h4(e11),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e11),h4(e13))) ),[1],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_7_418,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = op2(h4(e11),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e11),h4(e13)),h4(op1(e10,e12))) )],[refute_7_416,refute_7_417]) ).
cnf(refute_7_419,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e11),h4(e13))) )],[refute_7_418,refute_7_42]) ).
cnf(refute_7_420,plain,
h4(op1(e10,e12)) != h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e11,e13)),op2(h4(e11),h4(e13))) )],[refute_7_419,refute_7_0]) ).
cnf(refute_7_421,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_7_422,plain,
$false,
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_7_421,refute_7_420]) ).
fof(negate_8_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) )
=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(negate,[],[subgoal_8]) ).
fof(normalize_8_0,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_8_0]) ).
fof(normalize_8_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_8_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_8_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_8_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_8_5]) ).
fof(normalize_8_7,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_8_0,normalize_8_2,normalize_8_4,normalize_8_6]) ).
fof(normalize_8_8,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_9,plain,
( 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_10,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_11,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_8_12,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_13,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_14,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_15,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_8_11]) ).
fof(normalize_8_16,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_17,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_8_9]) ).
fof(normalize_8_18,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_8_7]) ).
fof(normalize_8_19,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_20,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_21,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_8_1]) ).
fof(normalize_8_22,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_23,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_8_3]) ).
fof(normalize_8_24,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_25,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_8_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_27,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_28,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_29,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_30,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_31,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_8_32,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_33,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_8_25]) ).
fof(normalize_8_34,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_35,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_36,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_37,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_38,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_39,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_40,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_41,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_42,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_8_31]) ).
fof(normalize_8_43,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_44,plain,
op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_45,plain,
op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_46,plain,
op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_47,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_48,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(conjunct,[],[normalize_8_19]) ).
fof(normalize_8_49,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(conjunct,[],[normalize_8_19]) ).
cnf(refute_8_0,plain,
h4(op1(e12,e10)) != op2(h4(e12),h4(e10)),
inference(canonicalize,[],[normalize_8_8]) ).
cnf(refute_8_1,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(canonicalize,[],[normalize_8_10]) ).
cnf(refute_8_2,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_8_12]) ).
cnf(refute_8_3,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_8_13]) ).
cnf(refute_8_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_8_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_8_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_8_4,refute_8_5]) ).
cnf(refute_8_7,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_8_8,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_8_3,refute_8_7]) ).
cnf(refute_8_9,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_8_10,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_11,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_8_9,refute_8_10]) ).
cnf(refute_8_12,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_8_8,refute_8_11]) ).
cnf(refute_8_13,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_8_14,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_8_12,refute_8_13]) ).
cnf(refute_8_15,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_8_2,refute_8_14]) ).
cnf(refute_8_16,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_8_17,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_8_15,refute_8_16]) ).
cnf(refute_8_18,plain,
op1(e12,op1(e11,e12)) = op1(e12,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e12)))]]) ).
cnf(refute_8_19,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_8_20,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_8_18,refute_8_19]) ).
cnf(refute_8_21,plain,
op1(e12,op1(e11,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_8_17,refute_8_20]) ).
cnf(refute_8_22,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e10)
| op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_8_23,plain,
( op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,e10)) )],[refute_8_21,refute_8_22]) ).
cnf(refute_8_24,plain,
op1(op1(e12,e11),e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) )],[refute_8_1,refute_8_23]) ).
cnf(refute_8_25,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_8_14]) ).
cnf(refute_8_26,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_8_15]) ).
cnf(refute_8_27,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_8_28,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_8_26,refute_8_27]) ).
cnf(refute_8_29,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_8_30,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_8_31,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_8_29,refute_8_30]) ).
cnf(refute_8_32,plain,
op1(op1(e12,e12),e13) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_28,refute_8_31]) ).
cnf(refute_8_33,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) != op1(e13,e13)
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_8_34,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e13,e13)) )],[refute_8_32,refute_8_33]) ).
cnf(refute_8_35,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_8_25,refute_8_34]) ).
cnf(refute_8_36,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_8_16]) ).
cnf(refute_8_37,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_8_17]) ).
cnf(refute_8_38,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_8_39,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_8_40,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_8_38,refute_8_39]) ).
cnf(refute_8_41,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_28,refute_8_40]) ).
cnf(refute_8_42,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_8_43,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_8_41,refute_8_42]) ).
cnf(refute_8_44,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_8_45,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_8_8,refute_8_44]) ).
cnf(refute_8_46,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_8_43,refute_8_45]) ).
cnf(refute_8_47,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_8_37,refute_8_46]) ).
cnf(refute_8_48,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_8_49,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_8_50,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_8_48,refute_8_49]) ).
cnf(refute_8_51,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_8_47,refute_8_50]) ).
cnf(refute_8_52,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_8_53,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_8_51,refute_8_52]) ).
cnf(refute_8_54,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_8_55,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_8_56,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_8_54,refute_8_55]) ).
cnf(refute_8_57,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_28,refute_8_56]) ).
cnf(refute_8_58,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_8_59,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_8_57,refute_8_58]) ).
cnf(refute_8_60,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_8_53,refute_8_59]) ).
cnf(refute_8_61,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_8_36,refute_8_60]) ).
cnf(refute_8_62,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_8_63,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_8_61,refute_8_62]) ).
cnf(refute_8_64,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_8_65,plain,
( op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_8_63,refute_8_64]) ).
cnf(refute_8_66,plain,
op1(e11,e12) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) )],[refute_8_35,refute_8_65]) ).
cnf(refute_8_67,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) ),[0],$fot(e10)]]) ).
cnf(refute_8_68,plain,
( op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_8_17,refute_8_67]) ).
cnf(refute_8_69,plain,
e10 = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) )],[refute_8_66,refute_8_68]) ).
cnf(refute_8_70,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_8_71,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_8_72,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_8_70,refute_8_71]) ).
cnf(refute_8_73,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_8_28,refute_8_72]) ).
cnf(refute_8_74,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_8_75,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_8_73,refute_8_74]) ).
cnf(refute_8_76,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_8_3,refute_8_75]) ).
cnf(refute_8_77,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_8_78,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_8_76,refute_8_77]) ).
cnf(refute_8_79,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_8_80,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_8_81,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_8_79,refute_8_80]) ).
cnf(refute_8_82,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_8_78,refute_8_81]) ).
cnf(refute_8_83,plain,
( e10 != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) != op1(e12,e11)
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[0],$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_8_84,plain,
( e10 != op1(e12,op1(e12,e13))
| e10 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_8_82,refute_8_83]) ).
cnf(refute_8_85,plain,
e10 = op1(e12,e11),
inference(resolve,[$cnf( $equal(e10,op1(e12,op1(e12,e13))) )],[refute_8_69,refute_8_84]) ).
cnf(refute_8_86,plain,
( e10 != op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_8_87,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_8_85,refute_8_86]) ).
cnf(refute_8_88,plain,
op1(op1(e12,e11),e12) = op1(op1(e12,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e12))]]) ).
cnf(refute_8_89,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) != op1(op1(e12,e11),e12)
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_8_90,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) )],[refute_8_88,refute_8_89]) ).
cnf(refute_8_91,plain,
op1(op1(e12,e11),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_8_87,refute_8_90]) ).
cnf(refute_8_92,plain,
( op1(op1(e12,e11),e12) != op1(e10,e12)
| op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_8_93,plain,
( op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e10,e12)) )],[refute_8_91,refute_8_92]) ).
cnf(refute_8_94,plain,
op1(e10,e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) )],[refute_8_24,refute_8_93]) ).
cnf(refute_8_95,plain,
( op1(e10,e12) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e12) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_8_96,plain,
op1(e12,e10) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e10)) )],[refute_8_94,refute_8_95]) ).
cnf(refute_8_97,plain,
h4(op1(e12,e10)) = h4(op1(e12,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e10)))]]) ).
cnf(refute_8_98,plain,
( h4(op1(e12,e10)) != h4(op1(e12,e10))
| op1(e12,e10) != op1(e10,e12)
| h4(op1(e12,e10)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e12,e10))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_8_99,plain,
( op1(e12,e10) != op1(e10,e12)
| h4(op1(e12,e10)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e12,e10))) )],[refute_8_97,refute_8_98]) ).
cnf(refute_8_100,plain,
h4(op1(e12,e10)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_8_96,refute_8_99]) ).
cnf(refute_8_101,plain,
( h4(op1(e10,e12)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) != h4(op1(e10,e12))
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e10,e12))) ),[1],$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_8_102,plain,
( h4(op1(e10,e12)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),h4(op1(e10,e12))) )],[refute_8_100,refute_8_101]) ).
cnf(refute_8_103,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_8_18]) ).
cnf(refute_8_104,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_8_20]) ).
cnf(refute_8_105,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_8_21]) ).
cnf(refute_8_106,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_8_107,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_8_105,refute_8_106]) ).
cnf(refute_8_108,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_8_109,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_8_110,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_8_108,refute_8_109]) ).
cnf(refute_8_111,plain,
op2(op2(e20,e20),e23) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_107,refute_8_110]) ).
cnf(refute_8_112,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_8_113,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h1(e13),e23)) )],[refute_8_111,refute_8_112]) ).
cnf(refute_8_114,plain,
op2(h1(e13),e23) = op2(e20,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_8_104,refute_8_113]) ).
cnf(refute_8_115,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_8_22]) ).
cnf(refute_8_116,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_8_23]) ).
cnf(refute_8_117,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_8_118,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_8_116,refute_8_117]) ).
cnf(refute_8_119,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_8_24]) ).
cnf(refute_8_120,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_8_26]) ).
cnf(refute_8_121,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_8_122,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_8_120,refute_8_121]) ).
cnf(refute_8_123,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_8_124,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_125,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_8_123,refute_8_124]) ).
cnf(refute_8_126,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_122,refute_8_125]) ).
cnf(refute_8_127,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_8_128,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_8_126,refute_8_127]) ).
cnf(refute_8_129,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_8_27]) ).
cnf(refute_8_130,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_8_131,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_8_129,refute_8_130]) ).
cnf(refute_8_132,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_8_133,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_8_131,refute_8_132]) ).
cnf(refute_8_134,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_8_128,refute_8_133]) ).
cnf(refute_8_135,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_8_119,refute_8_134]) ).
cnf(refute_8_136,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_8_137,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_138,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_8_136,refute_8_137]) ).
cnf(refute_8_139,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_8_135,refute_8_138]) ).
cnf(refute_8_140,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_8_141,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_8_6,refute_8_140]) ).
cnf(refute_8_142,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_8_143,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_8_139,refute_8_142]) ).
cnf(refute_8_144,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_118,refute_8_143]) ).
cnf(refute_8_145,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_8_146,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_8_144,refute_8_145]) ).
cnf(refute_8_147,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_8_115,refute_8_146]) ).
cnf(refute_8_148,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_8_28]) ).
cnf(refute_8_149,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_8_150,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_151,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_8_149,refute_8_150]) ).
cnf(refute_8_152,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_122,refute_8_151]) ).
cnf(refute_8_153,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_8_154,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_8_152,refute_8_153]) ).
cnf(refute_8_155,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_8_148,refute_8_154]) ).
cnf(refute_8_156,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_8_29]) ).
cnf(refute_8_157,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_8_158,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_159,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_8_157,refute_8_158]) ).
cnf(refute_8_160,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_122,refute_8_159]) ).
cnf(refute_8_161,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_8_162,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_8_160,refute_8_161]) ).
cnf(refute_8_163,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_8_156,refute_8_162]) ).
cnf(refute_8_164,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_8_30]) ).
cnf(refute_8_165,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_8_166,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_167,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_8_165,refute_8_166]) ).
cnf(refute_8_168,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_8_135,refute_8_167]) ).
cnf(refute_8_169,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_8_170,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_8_168,refute_8_169]) ).
cnf(refute_8_171,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_8_32]) ).
cnf(refute_8_172,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_8_173,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_8_171,refute_8_172]) ).
cnf(refute_8_174,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_8_175,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_176,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_8_174,refute_8_175]) ).
cnf(refute_8_177,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_8_122,refute_8_176]) ).
cnf(refute_8_178,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_8_179,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_8_177,refute_8_178]) ).
cnf(refute_8_180,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_173,refute_8_179]) ).
cnf(refute_8_181,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_8_182,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_8_180,refute_8_181]) ).
cnf(refute_8_183,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_8_170,refute_8_182]) ).
cnf(refute_8_184,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_8_164,refute_8_183]) ).
cnf(refute_8_185,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_8_186,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_8_187,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_8_185,refute_8_186]) ).
cnf(refute_8_188,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_8_184,refute_8_187]) ).
cnf(refute_8_189,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_8_190,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_8_188,refute_8_189]) ).
cnf(refute_8_191,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_8_163,refute_8_190]) ).
cnf(refute_8_192,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_8_33]) ).
cnf(refute_8_193,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_8_194,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_8_195,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_8_193,refute_8_194]) ).
cnf(refute_8_196,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_8_131,refute_8_195]) ).
cnf(refute_8_197,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_8_198,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_8_196,refute_8_197]) ).
cnf(refute_8_199,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_8_184,refute_8_198]) ).
cnf(refute_8_200,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_8_201,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_8_199,refute_8_200]) ).
cnf(refute_8_202,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_8_192,refute_8_201]) ).
cnf(refute_8_203,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_8_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_8_204,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_8_202,refute_8_203]) ).
cnf(refute_8_205,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_8_206,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_207,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_8_205,refute_8_206]) ).
cnf(refute_8_208,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_204,refute_8_207]) ).
cnf(refute_8_209,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_8_210,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_8_208,refute_8_209]) ).
cnf(refute_8_211,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_8_191,refute_8_210]) ).
cnf(refute_8_212,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_8_213,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_8_211,refute_8_212]) ).
cnf(refute_8_214,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_8_215,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_8_216,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_8_214,refute_8_215]) ).
cnf(refute_8_217,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_8_213,refute_8_216]) ).
cnf(refute_8_218,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_8_219,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_8_217,refute_8_218]) ).
cnf(refute_8_220,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_8_155,refute_8_219]) ).
cnf(refute_8_221,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_8_222,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_8_220,refute_8_221]) ).
cnf(refute_8_223,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_8_147,refute_8_222]) ).
cnf(refute_8_224,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_8_225,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_8_226,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_8_224,refute_8_225]) ).
cnf(refute_8_227,plain,
op2(e20,op2(e20,e23)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_8_223,refute_8_226]) ).
cnf(refute_8_228,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_8_229,plain,
( op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h2(e13))) )],[refute_8_227,refute_8_228]) ).
cnf(refute_8_230,plain,
op2(h1(e13),e23) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) )],[refute_8_114,refute_8_229]) ).
cnf(refute_8_231,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_8_34]) ).
cnf(refute_8_232,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_8_233,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_8_234,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_8_232,refute_8_233]) ).
cnf(refute_8_235,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_231,refute_8_234]) ).
cnf(refute_8_236,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_8_35]) ).
cnf(refute_8_237,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_8_36]) ).
cnf(refute_8_238,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_8_239,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_8_240,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_8_238,refute_8_239]) ).
cnf(refute_8_241,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_118,refute_8_240]) ).
cnf(refute_8_242,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_8_243,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_8_241,refute_8_242]) ).
cnf(refute_8_244,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_8_237,refute_8_243]) ).
cnf(refute_8_245,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_8_37]) ).
cnf(refute_8_246,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_8_38]) ).
cnf(refute_8_247,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_8_248,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_249,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_8_247,refute_8_248]) ).
cnf(refute_8_250,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_118,refute_8_249]) ).
cnf(refute_8_251,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_8_252,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_8_250,refute_8_251]) ).
cnf(refute_8_253,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_8_246,refute_8_252]) ).
cnf(refute_8_254,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_8_255,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_8_253,refute_8_254]) ).
cnf(refute_8_256,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_8_39]) ).
cnf(refute_8_257,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_8_258,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_8_259,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_8_257,refute_8_258]) ).
cnf(refute_8_260,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_173,refute_8_259]) ).
cnf(refute_8_261,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_8_262,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_8_260,refute_8_261]) ).
cnf(refute_8_263,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_8_191,refute_8_262]) ).
cnf(refute_8_264,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_8_265,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_8_263,refute_8_264]) ).
cnf(refute_8_266,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_8_267,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_268,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_8_266,refute_8_267]) ).
cnf(refute_8_269,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_8_135,refute_8_268]) ).
cnf(refute_8_270,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_8_271,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_8_269,refute_8_270]) ).
cnf(refute_8_272,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_8_265,refute_8_271]) ).
cnf(refute_8_273,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_8_256,refute_8_272]) ).
cnf(refute_8_274,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_8_275,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_8_273,refute_8_274]) ).
cnf(refute_8_276,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_8_277,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_8_278,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_8_276,refute_8_277]) ).
cnf(refute_8_279,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_8_275,refute_8_278]) ).
cnf(refute_8_280,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_8_281,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_8_279,refute_8_280]) ).
cnf(refute_8_282,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_8_255,refute_8_281]) ).
cnf(refute_8_283,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_8_284,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_8_282,refute_8_283]) ).
cnf(refute_8_285,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_8_245,refute_8_284]) ).
cnf(refute_8_286,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_8_287,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_8_288,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_8_286,refute_8_287]) ).
cnf(refute_8_289,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_8_275,refute_8_288]) ).
cnf(refute_8_290,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_8_291,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_8_289,refute_8_290]) ).
cnf(refute_8_292,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_8_285,refute_8_291]) ).
cnf(refute_8_293,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_8_294,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_8_292,refute_8_293]) ).
cnf(refute_8_295,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_8_244,refute_8_294]) ).
cnf(refute_8_296,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_8_40]) ).
cnf(refute_8_297,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_8_298,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_8_299,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_8_297,refute_8_298]) ).
cnf(refute_8_300,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_173,refute_8_299]) ).
cnf(refute_8_301,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_8_302,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_8_300,refute_8_301]) ).
cnf(refute_8_303,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_8_296,refute_8_302]) ).
cnf(refute_8_304,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_8_305,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_306,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_8_304,refute_8_305]) ).
cnf(refute_8_307,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_204,refute_8_306]) ).
cnf(refute_8_308,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_8_309,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_8_307,refute_8_308]) ).
cnf(refute_8_310,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_107,refute_8_309]) ).
cnf(refute_8_311,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_8_312,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_8_310,refute_8_311]) ).
cnf(refute_8_313,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_8_303,refute_8_312]) ).
cnf(refute_8_314,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_8_315,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_316,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_8_314,refute_8_315]) ).
cnf(refute_8_317,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_8_223,refute_8_316]) ).
cnf(refute_8_318,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_8_319,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_8_317,refute_8_318]) ).
cnf(refute_8_320,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_8_295,refute_8_319]) ).
cnf(refute_8_321,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_8_322,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_8_320,refute_8_321]) ).
cnf(refute_8_323,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_8_313,refute_8_322]) ).
cnf(refute_8_324,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_8_325,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_8_323,refute_8_324]) ).
cnf(refute_8_326,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_8_295,refute_8_325]) ).
cnf(refute_8_327,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_8_41]) ).
cnf(refute_8_328,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_8_329,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_8_330,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_8_328,refute_8_329]) ).
cnf(refute_8_331,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_8_173,refute_8_330]) ).
cnf(refute_8_332,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_8_333,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_8_331,refute_8_332]) ).
cnf(refute_8_334,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_8_42]) ).
cnf(refute_8_335,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_8_336,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_8_334,refute_8_335]) ).
cnf(refute_8_337,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_8_338,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_8_336,refute_8_337]) ).
cnf(refute_8_339,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_8_333,refute_8_338]) ).
cnf(refute_8_340,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_8_327,refute_8_339]) ).
cnf(refute_8_341,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_8_342,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_8_343,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_8_341,refute_8_342]) ).
cnf(refute_8_344,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_204,refute_8_343]) ).
cnf(refute_8_345,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_8_346,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_8_344,refute_8_345]) ).
cnf(refute_8_347,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_8_223,refute_8_346]) ).
cnf(refute_8_348,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_349,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_8_347,refute_8_348]) ).
cnf(refute_8_350,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_8_340,refute_8_349]) ).
cnf(refute_8_351,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_8_352,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_8_350,refute_8_351]) ).
cnf(refute_8_353,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_8_354,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_8_336,refute_8_353]) ).
cnf(refute_8_355,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_8_352,refute_8_354]) ).
cnf(refute_8_356,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_8_357,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_358,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_8_356,refute_8_357]) ).
cnf(refute_8_359,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_8_355,refute_8_358]) ).
cnf(refute_8_360,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_8_361,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_8_359,refute_8_360]) ).
cnf(refute_8_362,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_8_326,refute_8_361]) ).
cnf(refute_8_363,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_8_364,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_8_362,refute_8_363]) ).
cnf(refute_8_365,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_8_236,refute_8_364]) ).
cnf(refute_8_366,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_367,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_8_368,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_8_366,refute_8_367]) ).
cnf(refute_8_369,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_8_365,refute_8_368]) ).
cnf(refute_8_370,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_8_371,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_8_369,refute_8_370]) ).
cnf(refute_8_372,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_8_235,refute_8_371]) ).
cnf(refute_8_373,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),e23))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_8_374,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_8_372,refute_8_373]) ).
cnf(refute_8_375,plain,
op2(h4(e10),h4(e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_8_230,refute_8_374]) ).
cnf(refute_8_376,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_8_377,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h2(e13))) )],[refute_8_375,refute_8_376]) ).
cnf(refute_8_378,plain,
h4(op1(e10,e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_8_103,refute_8_377]) ).
cnf(refute_8_379,plain,
( h4(op1(e10,e12)) != op2(e20,h2(e13))
| op2(e20,h2(e13)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_8_380,plain,
op2(e20,h2(e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) )],[refute_8_378,refute_8_379]) ).
cnf(refute_8_381,plain,
op2(op2(e23,e20),e20) = op2(e23,op2(e20,e20)),
inference(canonicalize,[],[normalize_8_43]) ).
cnf(refute_8_382,plain,
op2(e23,op2(e20,e20)) = op2(e23,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e20,e20)))]]) ).
cnf(refute_8_383,plain,
( op2(e20,e20) != h1(e13)
| op2(e23,op2(e20,e20)) != op2(e23,op2(e20,e20))
| op2(e23,op2(e20,e20)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_8_384,plain,
( op2(e20,e20) != h1(e13)
| op2(e23,op2(e20,e20)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,op2(e20,e20))) )],[refute_8_382,refute_8_383]) ).
cnf(refute_8_385,plain,
op2(e23,op2(e20,e20)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_8_107,refute_8_384]) ).
cnf(refute_8_386,plain,
( op2(e23,op2(e20,e20)) != op2(e23,h1(e13))
| op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(op2(e23,e20),e20) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) ),[1],$fot(op2(e23,h1(e13)))]]) ).
cnf(refute_8_387,plain,
( op2(op2(e23,e20),e20) != op2(e23,op2(e20,e20))
| op2(op2(e23,e20),e20) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e20,e20)),op2(e23,h1(e13))) )],[refute_8_385,refute_8_386]) ).
cnf(refute_8_388,plain,
op2(op2(e23,e20),e20) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,op2(e20,e20))) )],[refute_8_381,refute_8_387]) ).
cnf(refute_8_389,plain,
op2(op2(e21,e21),e20) = op2(e21,op2(e21,e20)),
inference(canonicalize,[],[normalize_8_44]) ).
cnf(refute_8_390,plain,
op2(op2(e21,e21),e20) = op2(op2(e21,e21),e20),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e20))]]) ).
cnf(refute_8_391,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e20) != op2(op2(e21,e21),e20)
| op2(op2(e21,e21),e20) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e20),op2(op2(e21,e21),e20)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_392,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e20) = op2(h2(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(op2(e21,e21),e20)) )],[refute_8_390,refute_8_391]) ).
cnf(refute_8_393,plain,
op2(op2(e21,e21),e20) = op2(h2(e13),e20),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_118,refute_8_392]) ).
cnf(refute_8_394,plain,
( op2(op2(e21,e21),e20) != op2(e21,op2(e21,e20))
| op2(op2(e21,e21),e20) != op2(h2(e13),e20)
| op2(h2(e13),e20) = op2(e21,op2(e21,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e20),op2(e21,op2(e21,e20))) ),[0],$fot(op2(h2(e13),e20))]]) ).
cnf(refute_8_395,plain,
( op2(op2(e21,e21),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e21,op2(e21,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(h2(e13),e20)) )],[refute_8_393,refute_8_394]) ).
cnf(refute_8_396,plain,
op2(h2(e13),e20) = op2(e21,op2(e21,e20)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e20),op2(e21,op2(e21,e20))) )],[refute_8_389,refute_8_395]) ).
cnf(refute_8_397,plain,
op2(op2(e21,e20),e21) = op2(e21,op2(e20,e21)),
inference(canonicalize,[],[normalize_8_45]) ).
cnf(refute_8_398,plain,
op2(op2(e20,e21),e21) = op2(e20,op2(e21,e21)),
inference(canonicalize,[],[normalize_8_46]) ).
cnf(refute_8_399,plain,
op2(e20,op2(e21,e21)) = op2(e20,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e21)))]]) ).
cnf(refute_8_400,plain,
( op2(e20,op2(e21,e21)) != op2(e20,op2(e21,e21))
| op2(e21,e21) != h2(e13)
| op2(e20,op2(e21,e21)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_8_401,plain,
( op2(e21,e21) != h2(e13)
| op2(e20,op2(e21,e21)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,op2(e21,e21))) )],[refute_8_399,refute_8_400]) ).
cnf(refute_8_402,plain,
op2(e20,op2(e21,e21)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_118,refute_8_401]) ).
cnf(refute_8_403,plain,
( op2(e20,op2(e21,e21)) != op2(e20,h2(e13))
| op2(op2(e20,e21),e21) != op2(e20,op2(e21,e21))
| op2(op2(e20,e21),e21) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,op2(e21,e21))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_8_404,plain,
( op2(op2(e20,e21),e21) != op2(e20,op2(e21,e21))
| op2(op2(e20,e21),e21) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e21)),op2(e20,h2(e13))) )],[refute_8_402,refute_8_403]) ).
cnf(refute_8_405,plain,
op2(op2(e20,e21),e21) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,op2(e21,e21))) )],[refute_8_398,refute_8_404]) ).
cnf(refute_8_406,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_8_47]) ).
cnf(refute_8_407,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_8_408,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_8_409,plain,
( op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_8_407,refute_8_408]) ).
cnf(refute_8_410,plain,
op2(e20,op2(e23,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_8_135,refute_8_409]) ).
cnf(refute_8_411,plain,
( op2(e20,op2(e23,e22)) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_8_412,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,e21)) )],[refute_8_410,refute_8_411]) ).
cnf(refute_8_413,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_8_406,refute_8_412]) ).
cnf(refute_8_414,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(canonicalize,[],[normalize_8_48]) ).
cnf(refute_8_415,plain,
op2(op2(e21,e21),e22) = op2(op2(e21,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e22))]]) ).
cnf(refute_8_416,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) != op2(op2(e21,e21),e22)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_417,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) )],[refute_8_415,refute_8_416]) ).
cnf(refute_8_418,plain,
op2(op2(e21,e21),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_8_118,refute_8_417]) ).
cnf(refute_8_419,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(op2(e21,e21),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) ),[0],$fot(op2(h2(e13),e22))]]) ).
cnf(refute_8_420,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(h2(e13),e22)) )],[refute_8_418,refute_8_419]) ).
cnf(refute_8_421,plain,
op2(h2(e13),e22) = op2(e21,op2(e21,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) )],[refute_8_414,refute_8_420]) ).
cnf(refute_8_422,plain,
op2(e21,op2(e21,e22)) = op2(e21,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e22)))]]) ).
cnf(refute_8_423,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) != op2(e21,op2(e21,e22))
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_8_424,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) )],[refute_8_422,refute_8_423]) ).
cnf(refute_8_425,plain,
op2(e21,op2(e21,e22)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_8_184,refute_8_424]) ).
cnf(refute_8_426,plain,
( op2(e21,op2(e21,e22)) != op2(e21,h4(e13))
| op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_8_427,plain,
( op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,h4(e13))) )],[refute_8_425,refute_8_426]) ).
cnf(refute_8_428,plain,
op2(h2(e13),e22) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) )],[refute_8_421,refute_8_427]) ).
cnf(refute_8_429,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_8_430,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_431,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_8_429,refute_8_430]) ).
cnf(refute_8_432,plain,
op2(e21,h4(e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_204,refute_8_431]) ).
cnf(refute_8_433,plain,
( op2(e21,h4(e13)) != op2(e21,e20)
| op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_8_434,plain,
( op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_8_432,refute_8_433]) ).
cnf(refute_8_435,plain,
op2(h2(e13),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) )],[refute_8_428,refute_8_434]) ).
cnf(refute_8_436,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_8_437,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_438,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_8_436,refute_8_437]) ).
cnf(refute_8_439,plain,
op2(op2(e20,e23),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_8_223,refute_8_438]) ).
cnf(refute_8_440,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) != op2(h2(e13),e22)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e20,e23),e22))),bind(Y,$fot(op2(h2(e13),e22))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_8_441,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h2(e13),e22)) )],[refute_8_439,refute_8_440]) ).
cnf(refute_8_442,plain,
op2(op2(e20,e23),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_8_435,refute_8_441]) ).
cnf(refute_8_443,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e21,e20)
| op2(e21,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_8_444,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(e21,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e21,e20)) )],[refute_8_442,refute_8_443]) ).
cnf(refute_8_445,plain,
op2(e21,e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) )],[refute_8_413,refute_8_444]) ).
cnf(refute_8_446,plain,
op2(op2(e21,e20),e21) = op2(op2(e21,e20),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e20),e21))]]) ).
cnf(refute_8_447,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e21) != op2(op2(e21,e20),e21)
| op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e21,e20),e21)) ),[1,0],$fot(op2(e20,e21))]]) ).
cnf(refute_8_448,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e21,e20),e21)) )],[refute_8_446,refute_8_447]) ).
cnf(refute_8_449,plain,
op2(op2(e21,e20),e21) = op2(op2(e20,e21),e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_8_445,refute_8_448]) ).
cnf(refute_8_450,plain,
( op2(op2(e20,e21),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) != op2(op2(e20,e21),e21)
| op2(op2(e21,e20),e21) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e21,e20),e21))),bind(Y,$fot(op2(op2(e20,e21),e21))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_8_451,plain,
( op2(op2(e20,e21),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(op2(e20,e21),e21)) )],[refute_8_449,refute_8_450]) ).
cnf(refute_8_452,plain,
op2(op2(e21,e20),e21) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e21),e21),op2(e20,h2(e13))) )],[refute_8_405,refute_8_451]) ).
cnf(refute_8_453,plain,
( op2(op2(e21,e20),e21) != op2(e20,h2(e13))
| op2(op2(e21,e20),e21) != op2(e21,op2(e20,e21))
| op2(e20,h2(e13)) = op2(e21,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e21,op2(e20,e21))) ),[0],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_8_454,plain,
( op2(op2(e21,e20),e21) != op2(e21,op2(e20,e21))
| op2(e20,h2(e13)) = op2(e21,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e20,h2(e13))) )],[refute_8_452,refute_8_453]) ).
cnf(refute_8_455,plain,
op2(e20,h2(e13)) = op2(e21,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e20),e21),op2(e21,op2(e20,e21))) )],[refute_8_397,refute_8_454]) ).
cnf(refute_8_456,plain,
( op2(e20,h2(e13)) != op2(e21,op2(e20,e21))
| op2(e21,op2(e20,e21)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(e20,h2(e13)))),bind(Y,$fot(op2(e21,op2(e20,e21))))]]) ).
cnf(refute_8_457,plain,
op2(e21,op2(e20,e21)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e21,op2(e20,e21))) )],[refute_8_455,refute_8_456]) ).
cnf(refute_8_458,plain,
op2(e21,op2(e21,e20)) = op2(e21,op2(e21,e20)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e20)))]]) ).
cnf(refute_8_459,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,op2(e21,e20)) != op2(e21,op2(e21,e20))
| op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) ),[1,1],$fot(op2(e20,e21))]]) ).
cnf(refute_8_460,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e21,e20))) )],[refute_8_458,refute_8_459]) ).
cnf(refute_8_461,plain,
op2(e21,op2(e21,e20)) = op2(e21,op2(e20,e21)),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_8_445,refute_8_460]) ).
cnf(refute_8_462,plain,
( op2(e21,op2(e20,e21)) != op2(e20,h2(e13))
| op2(e21,op2(e21,e20)) != op2(e21,op2(e20,e21))
| op2(e21,op2(e21,e20)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(e21,op2(e21,e20)))),bind(Y,$fot(op2(e21,op2(e20,e21)))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_8_463,plain,
( op2(e21,op2(e20,e21)) != op2(e20,h2(e13))
| op2(e21,op2(e21,e20)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e21,op2(e20,e21))) )],[refute_8_461,refute_8_462]) ).
cnf(refute_8_464,plain,
op2(e21,op2(e21,e20)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,op2(e20,e21)),op2(e20,h2(e13))) )],[refute_8_457,refute_8_463]) ).
cnf(refute_8_465,plain,
( op2(e21,op2(e21,e20)) != op2(e20,h2(e13))
| op2(h2(e13),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e20),op2(e21,op2(e21,e20))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_8_466,plain,
( op2(h2(e13),e20) != op2(e21,op2(e21,e20))
| op2(h2(e13),e20) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e20)),op2(e20,h2(e13))) )],[refute_8_464,refute_8_465]) ).
cnf(refute_8_467,plain,
op2(h2(e13),e20) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e20),op2(e21,op2(e21,e20))) )],[refute_8_396,refute_8_466]) ).
cnf(refute_8_468,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(canonicalize,[],[normalize_8_49]) ).
cnf(refute_8_469,plain,
op2(e23,op2(e21,e22)) = op2(e23,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e22)))]]) ).
cnf(refute_8_470,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) != op2(e23,op2(e21,e22))
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_8_471,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) )],[refute_8_469,refute_8_470]) ).
cnf(refute_8_472,plain,
op2(e23,op2(e21,e22)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_8_184,refute_8_471]) ).
cnf(refute_8_473,plain,
( op2(e23,op2(e21,e22)) != op2(e23,h4(e13))
| op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) ),[1],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_8_474,plain,
( op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,h4(e13))) )],[refute_8_472,refute_8_473]) ).
cnf(refute_8_475,plain,
op2(op2(e23,e21),e22) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) )],[refute_8_468,refute_8_474]) ).
cnf(refute_8_476,plain,
op2(op2(e23,e21),e22) = op2(op2(e23,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e22))]]) ).
cnf(refute_8_477,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) != op2(op2(e23,e21),e22)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_8_478,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) )],[refute_8_476,refute_8_477]) ).
cnf(refute_8_479,plain,
op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_8_275,refute_8_478]) ).
cnf(refute_8_480,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(op2(e21,e23),e22)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e23,e21),e22))),bind(Y,$fot(op2(op2(e21,e23),e22))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_8_481,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e21,e23),e22)) )],[refute_8_479,refute_8_480]) ).
cnf(refute_8_482,plain,
op2(op2(e23,e21),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_8_147,refute_8_481]) ).
cnf(refute_8_483,plain,
( op2(op2(e23,e21),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_8_484,plain,
( op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),h2(e13)) )],[refute_8_482,refute_8_483]) ).
cnf(refute_8_485,plain,
h2(e13) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) )],[refute_8_475,refute_8_484]) ).
cnf(refute_8_486,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_8_487,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_8_488,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_8_486,refute_8_487]) ).
cnf(refute_8_489,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_8_204,refute_8_488]) ).
cnf(refute_8_490,plain,
( h2(e13) != op2(e23,h4(e13))
| op2(e23,h4(e13)) != op2(e23,e20)
| h2(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e20)) ),[0],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_8_491,plain,
( h2(e13) != op2(e23,h4(e13))
| h2(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_8_489,refute_8_490]) ).
cnf(refute_8_492,plain,
h2(e13) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e13))) )],[refute_8_485,refute_8_491]) ).
cnf(refute_8_493,plain,
( h2(e13) != op2(e23,e20)
| op2(e23,e20) = h2(e13) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_8_494,plain,
op2(e23,e20) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e20)) )],[refute_8_492,refute_8_493]) ).
cnf(refute_8_495,plain,
op2(op2(e23,e20),e20) = op2(op2(e23,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e23,e20),e20))]]) ).
cnf(refute_8_496,plain,
( op2(e23,e20) != h2(e13)
| op2(op2(e23,e20),e20) != op2(op2(e23,e20),e20)
| op2(op2(e23,e20),e20) = op2(h2(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_8_497,plain,
( op2(e23,e20) != h2(e13)
| op2(op2(e23,e20),e20) = op2(h2(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(op2(e23,e20),e20)) )],[refute_8_495,refute_8_496]) ).
cnf(refute_8_498,plain,
op2(op2(e23,e20),e20) = op2(h2(e13),e20),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_8_494,refute_8_497]) ).
cnf(refute_8_499,plain,
( op2(h2(e13),e20) != op2(e20,h2(e13))
| op2(op2(e23,e20),e20) != op2(h2(e13),e20)
| op2(op2(e23,e20),e20) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(op2(e23,e20),e20))),bind(Y,$fot(op2(h2(e13),e20))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_8_500,plain,
( op2(h2(e13),e20) != op2(e20,h2(e13))
| op2(op2(e23,e20),e20) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(h2(e13),e20)) )],[refute_8_498,refute_8_499]) ).
cnf(refute_8_501,plain,
op2(op2(e23,e20),e20) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e20),op2(e20,h2(e13))) )],[refute_8_467,refute_8_500]) ).
cnf(refute_8_502,plain,
( op2(op2(e23,e20),e20) != op2(e20,h2(e13))
| op2(op2(e23,e20),e20) != op2(e23,h1(e13))
| op2(e20,h2(e13)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,h1(e13))) ),[0],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_8_503,plain,
( op2(op2(e23,e20),e20) != op2(e23,h1(e13))
| op2(e20,h2(e13)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e20,h2(e13))) )],[refute_8_501,refute_8_502]) ).
cnf(refute_8_504,plain,
op2(e20,h2(e13)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e20),e20),op2(e23,h1(e13))) )],[refute_8_388,refute_8_503]) ).
cnf(refute_8_505,plain,
( op2(e20,h2(e13)) != op2(e23,h1(e13))
| op2(e23,h1(e13)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_8_6:[bind(X,$fot(op2(e20,h2(e13)))),bind(Y,$fot(op2(e23,h1(e13))))]]) ).
cnf(refute_8_506,plain,
op2(e23,h1(e13)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),op2(e23,h1(e13))) )],[refute_8_504,refute_8_505]) ).
cnf(refute_8_507,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(e23,h1(e13)) != op2(e20,h2(e13))
| op2(e23,h1(e13)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(e23,h1(e13)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_8_508,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(e23,h1(e13)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(e23,h1(e13)),op2(e20,h2(e13))) )],[refute_8_506,refute_8_507]) ).
cnf(refute_8_509,plain,
op2(e23,h1(e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),h4(op1(e10,e12))) )],[refute_8_380,refute_8_508]) ).
cnf(refute_8_510,plain,
op2(e23,h4(e10)) = op2(e23,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e10)))]]) ).
cnf(refute_8_511,plain,
( h4(e10) != h1(e13)
| op2(e23,h4(e10)) != op2(e23,h4(e10))
| op2(e23,h4(e10)) = op2(e23,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_8_512,plain,
( h4(e10) != h1(e13)
| op2(e23,h4(e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h4(e10))) )],[refute_8_510,refute_8_511]) ).
cnf(refute_8_513,plain,
op2(e23,h4(e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_8_365,refute_8_512]) ).
cnf(refute_8_514,plain,
op2(h4(e12),h4(e10)) = op2(h4(e12),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e10)))]]) ).
cnf(refute_8_515,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) != op2(h4(e12),h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_8_516,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e10)) = op2(e23,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(h4(e12),h4(e10))) )],[refute_8_514,refute_8_515]) ).
cnf(refute_8_517,plain,
op2(h4(e12),h4(e10)) = op2(e23,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_8_231,refute_8_516]) ).
cnf(refute_8_518,plain,
( op2(e23,h4(e10)) != op2(e23,h1(e13))
| op2(h4(e12),h4(e10)) != op2(e23,h4(e10))
| op2(h4(e12),h4(e10)) = op2(e23,h1(e13)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e23,h4(e10)))),bind(Z,$fot(op2(e23,h1(e13))))]]) ).
cnf(refute_8_519,plain,
( op2(e23,h4(e10)) != op2(e23,h1(e13))
| op2(h4(e12),h4(e10)) = op2(e23,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h4(e10))) )],[refute_8_517,refute_8_518]) ).
cnf(refute_8_520,plain,
op2(h4(e12),h4(e10)) = op2(e23,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e10)),op2(e23,h1(e13))) )],[refute_8_513,refute_8_519]) ).
cnf(refute_8_521,plain,
( op2(e23,h1(e13)) != h4(op1(e10,e12))
| op2(h4(e12),h4(e10)) != op2(e23,h1(e13))
| op2(h4(e12),h4(e10)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_8_141:[bind(X,$fot(op2(h4(e12),h4(e10)))),bind(Y,$fot(op2(e23,h1(e13)))),bind(Z,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_8_522,plain,
( op2(e23,h1(e13)) != h4(op1(e10,e12))
| op2(h4(e12),h4(e10)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),op2(e23,h1(e13))) )],[refute_8_520,refute_8_521]) ).
cnf(refute_8_523,plain,
op2(h4(e12),h4(e10)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op2(e23,h1(e13)),h4(op1(e10,e12))) )],[refute_8_509,refute_8_522]) ).
cnf(refute_8_524,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op2(h4(e12),h4(e10)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = op2(h4(e12),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e12),h4(e10))) ),[1],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_8_525,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = op2(h4(e12),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e10)),h4(op1(e10,e12))) )],[refute_8_523,refute_8_524]) ).
cnf(refute_8_526,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e12),h4(e10))) )],[refute_8_525,refute_8_102]) ).
cnf(refute_8_527,plain,
h4(op1(e10,e12)) != h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e12,e10)),op2(h4(e12),h4(e10))) )],[refute_8_526,refute_8_0]) ).
cnf(refute_8_528,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_8_529,plain,
$false,
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_8_528,refute_8_527]) ).
fof(negate_9_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(negate,[],[subgoal_9]) ).
fof(normalize_9_0,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_9_0]) ).
fof(normalize_9_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_9_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_9_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_9_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_9_5]) ).
fof(normalize_9_7,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_9_0,normalize_9_2,normalize_9_4,normalize_9_6]) ).
fof(normalize_9_8,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(conjunct,[],[normalize_9_7]) ).
fof(normalize_9_9,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_9_10,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_11,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_12,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_13,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_9_3]) ).
fof(normalize_9_14,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_15,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_16,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_17,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_18,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_9_19,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_20,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_21,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_22,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_23,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_24,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_25,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_9_1]) ).
fof(normalize_9_26,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_9_18]) ).
fof(normalize_9_27,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_28,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_29,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_9_11]) ).
fof(normalize_9_30,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_9_9]) ).
fof(normalize_9_31,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_32,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_9_31]) ).
fof(normalize_9_33,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_9_34,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_9_33]) ).
fof(normalize_9_35,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_9_31]) ).
fof(normalize_9_36,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_9_31]) ).
fof(normalize_9_37,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_9_33]) ).
fof(normalize_9_38,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_9_33]) ).
fof(normalize_9_39,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_9_9]) ).
cnf(refute_9_0,plain,
h4(op1(e12,e11)) != op2(h4(e12),h4(e11)),
inference(canonicalize,[],[normalize_9_8]) ).
cnf(refute_9_1,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_9_10]) ).
cnf(refute_9_2,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_9_12]) ).
cnf(refute_9_3,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_9_13]) ).
cnf(refute_9_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_9_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_9_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_9_4,refute_9_5]) ).
cnf(refute_9_7,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_9_8,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_9_3,refute_9_7]) ).
cnf(refute_9_9,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_9_10,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_11,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_9_9,refute_9_10]) ).
cnf(refute_9_12,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_8,refute_9_11]) ).
cnf(refute_9_13,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_9_14,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_9_12,refute_9_13]) ).
cnf(refute_9_15,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_9_2,refute_9_14]) ).
cnf(refute_9_16,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_9_14]) ).
cnf(refute_9_17,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_9_15]) ).
cnf(refute_9_18,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_9_19,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_9_20,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_9_18,refute_9_19]) ).
cnf(refute_9_21,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_8,refute_9_20]) ).
cnf(refute_9_22,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_9_23,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_9_21,refute_9_22]) ).
cnf(refute_9_24,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_9_17,refute_9_23]) ).
cnf(refute_9_25,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_9_26,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_9_24,refute_9_25]) ).
cnf(refute_9_27,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_9_16]) ).
cnf(refute_9_28,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_9_17]) ).
cnf(refute_9_29,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_9_19]) ).
cnf(refute_9_30,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_9_31,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_9_29,refute_9_30]) ).
cnf(refute_9_32,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_9_33,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_34,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_9_32,refute_9_33]) ).
cnf(refute_9_35,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_31,refute_9_34]) ).
cnf(refute_9_36,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_9_37,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_9_35,refute_9_36]) ).
cnf(refute_9_38,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_9_28,refute_9_37]) ).
cnf(refute_9_39,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_9_20]) ).
cnf(refute_9_40,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_9_21]) ).
cnf(refute_9_41,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_9_42,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_43,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_9_41,refute_9_42]) ).
cnf(refute_9_44,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_31,refute_9_43]) ).
cnf(refute_9_45,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_9_46,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_9_44,refute_9_45]) ).
cnf(refute_9_47,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_9_22]) ).
cnf(refute_9_48,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_9_49,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_9_47,refute_9_48]) ).
cnf(refute_9_50,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_9_51,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_9_49,refute_9_50]) ).
cnf(refute_9_52,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_9_46,refute_9_51]) ).
cnf(refute_9_53,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_9_40,refute_9_52]) ).
cnf(refute_9_54,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_9_55,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_56,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_9_54,refute_9_55]) ).
cnf(refute_9_57,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_9_53,refute_9_56]) ).
cnf(refute_9_58,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_9_59,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_9_57,refute_9_58]) ).
cnf(refute_9_60,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_9_23]) ).
cnf(refute_9_61,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_9_62,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_9_60,refute_9_61]) ).
cnf(refute_9_63,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_9_64,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_65,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_9_63,refute_9_64]) ).
cnf(refute_9_66,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_31,refute_9_65]) ).
cnf(refute_9_67,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_9_68,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_9_6,refute_9_67]) ).
cnf(refute_9_69,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_9_70,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_9_66,refute_9_69]) ).
cnf(refute_9_71,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_62,refute_9_70]) ).
cnf(refute_9_72,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_9_73,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_9_71,refute_9_72]) ).
cnf(refute_9_74,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_9_59,refute_9_73]) ).
cnf(refute_9_75,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_9_39,refute_9_74]) ).
cnf(refute_9_76,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_9_77,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_9_78,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_9_76,refute_9_77]) ).
cnf(refute_9_79,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_9_75,refute_9_78]) ).
cnf(refute_9_80,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_9_81,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_9_79,refute_9_80]) ).
cnf(refute_9_82,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_9_38,refute_9_81]) ).
cnf(refute_9_83,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_9_84,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_9_85,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_9_83,refute_9_84]) ).
cnf(refute_9_86,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_62,refute_9_85]) ).
cnf(refute_9_87,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_9_88,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_9_86,refute_9_87]) ).
cnf(refute_9_89,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_9_82,refute_9_88]) ).
cnf(refute_9_90,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_9_91,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_9_89,refute_9_90]) ).
cnf(refute_9_92,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_9_93,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_94,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_9_92,refute_9_93]) ).
cnf(refute_9_95,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_9_53,refute_9_94]) ).
cnf(refute_9_96,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_9_97,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_9_95,refute_9_96]) ).
cnf(refute_9_98,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_9_91,refute_9_97]) ).
cnf(refute_9_99,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_9_27,refute_9_98]) ).
cnf(refute_9_100,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_9_101,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_9_99,refute_9_100]) ).
cnf(refute_9_102,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_9_103,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_9_104,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_9_102,refute_9_103]) ).
cnf(refute_9_105,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_9_101,refute_9_104]) ).
cnf(refute_9_106,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_9_107,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_9_105,refute_9_106]) ).
cnf(refute_9_108,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_9_26,refute_9_107]) ).
cnf(refute_9_109,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_9_110,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_9_108,refute_9_109]) ).
cnf(refute_9_111,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_9_16,refute_9_110]) ).
cnf(refute_9_112,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_9_113,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_9_114,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_9_112,refute_9_113]) ).
cnf(refute_9_115,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_9_101,refute_9_114]) ).
cnf(refute_9_116,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_9_117,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_9_115,refute_9_116]) ).
cnf(refute_9_118,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_9_111,refute_9_117]) ).
cnf(refute_9_119,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_9_120,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_9_118,refute_9_119]) ).
cnf(refute_9_121,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_9_15,refute_9_120]) ).
cnf(refute_9_122,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_9_24]) ).
cnf(refute_9_123,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_9_124,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_9_125,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_9_123,refute_9_124]) ).
cnf(refute_9_126,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_62,refute_9_125]) ).
cnf(refute_9_127,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_9_128,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_9_126,refute_9_127]) ).
cnf(refute_9_129,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_9_122,refute_9_128]) ).
cnf(refute_9_130,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_9_25]) ).
cnf(refute_9_131,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_9_132,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_9_130,refute_9_131]) ).
cnf(refute_9_133,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_9_26]) ).
cnf(refute_9_134,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_9_135,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_9_136,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_9_134,refute_9_135]) ).
cnf(refute_9_137,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_9_49,refute_9_136]) ).
cnf(refute_9_138,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_9_139,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_9_137,refute_9_138]) ).
cnf(refute_9_140,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_9_75,refute_9_139]) ).
cnf(refute_9_141,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_9_142,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_9_140,refute_9_141]) ).
cnf(refute_9_143,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_9_133,refute_9_142]) ).
cnf(refute_9_144,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_9_145,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_9_143,refute_9_144]) ).
cnf(refute_9_146,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_9_147,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_9_148,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_9_146,refute_9_147]) ).
cnf(refute_9_149,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_145,refute_9_148]) ).
cnf(refute_9_150,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_9_151,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_9_149,refute_9_150]) ).
cnf(refute_9_152,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_9_132,refute_9_151]) ).
cnf(refute_9_153,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_9_154,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_9_152,refute_9_153]) ).
cnf(refute_9_155,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_9_129,refute_9_154]) ).
cnf(refute_9_156,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_9_27]) ).
cnf(refute_9_157,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_9_158,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_9_159,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_9_157,refute_9_158]) ).
cnf(refute_9_160,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_9_53,refute_9_159]) ).
cnf(refute_9_161,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_9_162,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_9_160,refute_9_161]) ).
cnf(refute_9_163,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_9_8,refute_9_162]) ).
cnf(refute_9_164,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_9_165,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_9_163,refute_9_164]) ).
cnf(refute_9_166,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_9_156,refute_9_165]) ).
cnf(refute_9_167,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_9_28]) ).
cnf(refute_9_168,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_9_169,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_9_170,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_9_168,refute_9_169]) ).
cnf(refute_9_171,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_9_31,refute_9_170]) ).
cnf(refute_9_172,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_9_173,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_9_171,refute_9_172]) ).
cnf(refute_9_174,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_9_167,refute_9_173]) ).
cnf(refute_9_175,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_9_176,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_177,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_9_175,refute_9_176]) ).
cnf(refute_9_178,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_145,refute_9_177]) ).
cnf(refute_9_179,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_9_180,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_9_178,refute_9_179]) ).
cnf(refute_9_181,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_9_82,refute_9_180]) ).
cnf(refute_9_182,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_9_183,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_9_181,refute_9_182]) ).
cnf(refute_9_184,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_9_185,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_9_186,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_9_184,refute_9_185]) ).
cnf(refute_9_187,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_9_183,refute_9_186]) ).
cnf(refute_9_188,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_9_189,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_9_187,refute_9_188]) ).
cnf(refute_9_190,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_9_174,refute_9_189]) ).
cnf(refute_9_191,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_9_192,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_9_190,refute_9_191]) ).
cnf(refute_9_193,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_9_166,refute_9_192]) ).
cnf(refute_9_194,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_9_195,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_9_196,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_9_194,refute_9_195]) ).
cnf(refute_9_197,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_9_193,refute_9_196]) ).
cnf(refute_9_198,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_9_199,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_9_197,refute_9_198]) ).
cnf(refute_9_200,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_9_121,refute_9_199]) ).
cnf(refute_9_201,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_9_202,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_9_200,refute_9_201]) ).
cnf(refute_9_203,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_9_155,refute_9_202]) ).
cnf(refute_9_204,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_9_205,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_9_203,refute_9_204]) ).
cnf(refute_9_206,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_9_121,refute_9_205]) ).
cnf(refute_9_207,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_9_29]) ).
cnf(refute_9_208,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_9_209,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_9_210,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_9_208,refute_9_209]) ).
cnf(refute_9_211,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_9_62,refute_9_210]) ).
cnf(refute_9_212,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_9_213,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_9_211,refute_9_212]) ).
cnf(refute_9_214,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_9_30]) ).
cnf(refute_9_215,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_9_216,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_9_214,refute_9_215]) ).
cnf(refute_9_217,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_9_218,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_9_216,refute_9_217]) ).
cnf(refute_9_219,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_9_213,refute_9_218]) ).
cnf(refute_9_220,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_9_207,refute_9_219]) ).
cnf(refute_9_221,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_9_222,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_9_223,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_9_221,refute_9_222]) ).
cnf(refute_9_224,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_9_145,refute_9_223]) ).
cnf(refute_9_225,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_9_226,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_9_224,refute_9_225]) ).
cnf(refute_9_227,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_9_193,refute_9_226]) ).
cnf(refute_9_228,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_9_229,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_9_227,refute_9_228]) ).
cnf(refute_9_230,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_9_220,refute_9_229]) ).
cnf(refute_9_231,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_9_232,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_9_230,refute_9_231]) ).
cnf(refute_9_233,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_9_234,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_9_216,refute_9_233]) ).
cnf(refute_9_235,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_232,refute_9_234]) ).
cnf(refute_9_236,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_9_237,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_9_238,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_9_236,refute_9_237]) ).
cnf(refute_9_239,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_9_235,refute_9_238]) ).
cnf(refute_9_240,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_9_241,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_9_239,refute_9_240]) ).
cnf(refute_9_242,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_9_206,refute_9_241]) ).
cnf(refute_9_243,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_9_244,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_9_242,refute_9_243]) ).
cnf(refute_9_245,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_9_1,refute_9_244]) ).
cnf(refute_9_246,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_9_32]) ).
cnf(refute_9_247,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_9_34]) ).
cnf(refute_9_248,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_9_249,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_9_247,refute_9_248]) ).
cnf(refute_9_250,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_9_251,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_252,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_9_250,refute_9_251]) ).
cnf(refute_9_253,plain,
op1(op1(e12,e12),e13) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_249,refute_9_252]) ).
cnf(refute_9_254,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) != op1(e13,e13)
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_9_255,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e13,e13)) )],[refute_9_253,refute_9_254]) ).
cnf(refute_9_256,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_9_246,refute_9_255]) ).
cnf(refute_9_257,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_9_35]) ).
cnf(refute_9_258,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_9_36]) ).
cnf(refute_9_259,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_9_260,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_9_261,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_9_259,refute_9_260]) ).
cnf(refute_9_262,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_249,refute_9_261]) ).
cnf(refute_9_263,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_9_264,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_9_262,refute_9_263]) ).
cnf(refute_9_265,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_9_37]) ).
cnf(refute_9_266,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_9_267,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_9_265,refute_9_266]) ).
cnf(refute_9_268,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_9_269,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_9_267,refute_9_268]) ).
cnf(refute_9_270,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_9_264,refute_9_269]) ).
cnf(refute_9_271,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_9_258,refute_9_270]) ).
cnf(refute_9_272,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_9_273,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_9_274,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_9_272,refute_9_273]) ).
cnf(refute_9_275,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_9_271,refute_9_274]) ).
cnf(refute_9_276,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_9_277,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_9_275,refute_9_276]) ).
cnf(refute_9_278,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_9_279,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_9_280,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_9_278,refute_9_279]) ).
cnf(refute_9_281,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_249,refute_9_280]) ).
cnf(refute_9_282,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_9_283,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_9_281,refute_9_282]) ).
cnf(refute_9_284,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_9_277,refute_9_283]) ).
cnf(refute_9_285,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_9_257,refute_9_284]) ).
cnf(refute_9_286,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_9_6:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_9_287,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_9_285,refute_9_286]) ).
cnf(refute_9_288,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_9_289,plain,
( op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_9_287,refute_9_288]) ).
cnf(refute_9_290,plain,
op1(e11,e12) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) )],[refute_9_256,refute_9_289]) ).
cnf(refute_9_291,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_9_38]) ).
cnf(refute_9_292,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_9_293,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_9_294,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_9_292,refute_9_293]) ).
cnf(refute_9_295,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_9_267,refute_9_294]) ).
cnf(refute_9_296,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_9_297,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_9_295,refute_9_296]) ).
cnf(refute_9_298,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_9_291,refute_9_297]) ).
cnf(refute_9_299,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_9_300,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_9_298,refute_9_299]) ).
cnf(refute_9_301,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) ),[0],$fot(e10)]]) ).
cnf(refute_9_302,plain,
( op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_9_300,refute_9_301]) ).
cnf(refute_9_303,plain,
e10 = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) )],[refute_9_290,refute_9_302]) ).
cnf(refute_9_304,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_9_305,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_9_306,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_9_304,refute_9_305]) ).
cnf(refute_9_307,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_9_249,refute_9_306]) ).
cnf(refute_9_308,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_9_309,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_9_307,refute_9_308]) ).
cnf(refute_9_310,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_9_265,refute_9_309]) ).
cnf(refute_9_311,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_9_312,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_9_310,refute_9_311]) ).
cnf(refute_9_313,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_9_314,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_315,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_9_313,refute_9_314]) ).
cnf(refute_9_316,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_9_312,refute_9_315]) ).
cnf(refute_9_317,plain,
( e10 != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) != op1(e12,e11)
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[0],$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_9_318,plain,
( e10 != op1(e12,op1(e12,e13))
| e10 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_9_316,refute_9_317]) ).
cnf(refute_9_319,plain,
e10 = op1(e12,e11),
inference(resolve,[$cnf( $equal(e10,op1(e12,op1(e12,e13))) )],[refute_9_303,refute_9_318]) ).
cnf(refute_9_320,plain,
( e10 != op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(subst,[],[refute_9_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_9_321,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_9_319,refute_9_320]) ).
cnf(refute_9_322,plain,
h4(op1(e12,e11)) = h4(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e11)))]]) ).
cnf(refute_9_323,plain,
( h4(op1(e12,e11)) != h4(op1(e12,e11))
| op1(e12,e11) != e10
| h4(op1(e12,e11)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_9_324,plain,
( op1(e12,e11) != e10
| h4(op1(e12,e11)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(op1(e12,e11))) )],[refute_9_322,refute_9_323]) ).
cnf(refute_9_325,plain,
h4(op1(e12,e11)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_9_321,refute_9_324]) ).
cnf(refute_9_326,plain,
( h4(e10) != h1(e13)
| h4(op1(e12,e11)) != h4(e10)
| h4(op1(e12,e11)) = h1(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(h4(op1(e12,e11)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_9_327,plain,
( h4(e10) != h1(e13)
| h4(op1(e12,e11)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h4(e10)) )],[refute_9_325,refute_9_326]) ).
cnf(refute_9_328,plain,
h4(op1(e12,e11)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_9_245,refute_9_327]) ).
cnf(refute_9_329,plain,
( h1(e13) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) != h1(e13)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e11)),h1(e13)) ),[1],$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_9_330,plain,
( h1(e13) != op2(h4(e12),h4(e11))
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),h1(e13)) )],[refute_9_328,refute_9_329]) ).
cnf(refute_9_331,plain,
op2(e23,h4(e11)) = op2(e23,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e11)))]]) ).
cnf(refute_9_332,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) != op2(e23,h4(e11))
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_9_333,plain,
( h4(e11) != h2(e13)
| op2(e23,h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h4(e11))) )],[refute_9_331,refute_9_332]) ).
cnf(refute_9_334,plain,
op2(e23,h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_9_232,refute_9_333]) ).
cnf(refute_9_335,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_9_39]) ).
cnf(refute_9_336,plain,
op2(h4(e12),h4(e11)) = op2(h4(e12),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e11)))]]) ).
cnf(refute_9_337,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) != op2(h4(e12),h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_9_338,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e11)) = op2(e23,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(h4(e12),h4(e11))) )],[refute_9_336,refute_9_337]) ).
cnf(refute_9_339,plain,
op2(h4(e12),h4(e11)) = op2(e23,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_9_335,refute_9_338]) ).
cnf(refute_9_340,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) != op2(e23,h4(e11))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e23,h4(e11)))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_9_341,plain,
( op2(e23,h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h4(e11))) )],[refute_9_339,refute_9_340]) ).
cnf(refute_9_342,plain,
op2(h4(e12),h4(e11)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e23,h4(e11)),op2(e23,h2(e13))) )],[refute_9_334,refute_9_341]) ).
cnf(refute_9_343,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h4(e12),h4(e11)) != op2(e23,h2(e13))
| op2(h4(e12),h4(e11)) = h1(e13) ),
inference(subst,[],[refute_9_68:[bind(X,$fot(op2(h4(e12),h4(e11)))),bind(Y,$fot(op2(e23,h2(e13)))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_9_344,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h4(e12),h4(e11)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),op2(e23,h2(e13))) )],[refute_9_342,refute_9_343]) ).
cnf(refute_9_345,plain,
op2(h4(e12),h4(e11)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_9_203,refute_9_344]) ).
cnf(refute_9_346,plain,
( h1(e13) != h1(e13)
| op2(h4(e12),h4(e11)) != h1(e13)
| h1(e13) = op2(h4(e12),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(h4(e12),h4(e11))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_9_347,plain,
( h1(e13) != h1(e13)
| h1(e13) = op2(h4(e12),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e11)),h1(e13)) )],[refute_9_345,refute_9_346]) ).
cnf(refute_9_348,plain,
( h1(e13) != h1(e13)
| h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h4(e12),h4(e11))) )],[refute_9_347,refute_9_330]) ).
cnf(refute_9_349,plain,
h1(e13) != h1(e13),
inference(resolve,[$cnf( $equal(h4(op1(e12,e11)),op2(h4(e12),h4(e11))) )],[refute_9_348,refute_9_0]) ).
cnf(refute_9_350,plain,
h1(e13) = h1(e13),
introduced(tautology,[refl,[$fot(h1(e13))]]) ).
cnf(refute_9_351,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e13),h1(e13)) )],[refute_9_350,refute_9_349]) ).
fof(negate_10_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) )
=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(negate,[],[subgoal_10]) ).
fof(normalize_10_0,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_10_0]) ).
fof(normalize_10_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_10_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_10_1]) ).
fof(normalize_10_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_10_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_10_3]) ).
fof(normalize_10_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_10_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_10_5]) ).
fof(normalize_10_7,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_10_0,normalize_10_2,normalize_10_4,normalize_10_6]) ).
fof(normalize_10_8,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(conjunct,[],[normalize_10_7]) ).
fof(normalize_10_9,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_10_10,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_11,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_12,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_13,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_10_11]) ).
fof(normalize_10_14,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_15,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_10_9]) ).
fof(normalize_10_16,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_10_17,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_10_16]) ).
fof(normalize_10_18,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_10_19,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_10_18]) ).
fof(normalize_10_20,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_10_16]) ).
cnf(refute_10_0,plain,
h4(op1(e12,e12)) != op2(h4(e12),h4(e12)),
inference(canonicalize,[],[normalize_10_8]) ).
cnf(refute_10_1,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_10_10]) ).
cnf(refute_10_2,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_10_12]) ).
cnf(refute_10_3,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_10_13]) ).
cnf(refute_10_4,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_10_14]) ).
cnf(refute_10_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_10_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_10_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_10_5,refute_10_6]) ).
cnf(refute_10_8,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_10_9,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_10_4,refute_10_8]) ).
cnf(refute_10_10,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_10_11,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_12,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_10_10,refute_10_11]) ).
cnf(refute_10_13,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_9,refute_10_12]) ).
cnf(refute_10_14,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_10_15,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_10_13,refute_10_14]) ).
cnf(refute_10_16,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_10_15]) ).
cnf(refute_10_17,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_10_18,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_10_16,refute_10_17]) ).
cnf(refute_10_19,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_10_20,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_10_18,refute_10_19]) ).
cnf(refute_10_21,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_10_15,refute_10_20]) ).
cnf(refute_10_22,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_10_3,refute_10_21]) ).
cnf(refute_10_23,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_10_24,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_25,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_10_23,refute_10_24]) ).
cnf(refute_10_26,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_10_22,refute_10_25]) ).
cnf(refute_10_27,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_10_28,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_10_26,refute_10_27]) ).
cnf(refute_10_29,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_10_17]) ).
cnf(refute_10_30,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_10_7:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_31,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_29,refute_10_30]) ).
cnf(refute_10_32,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_10_33,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_34,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_10_32,refute_10_33]) ).
cnf(refute_10_35,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_10_9,refute_10_34]) ).
cnf(refute_10_36,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_10_37,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_10_7,refute_10_36]) ).
cnf(refute_10_38,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_10_37:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_10_39,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_10_35,refute_10_38]) ).
cnf(refute_10_40,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_10_31,refute_10_39]) ).
cnf(refute_10_41,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_10_42,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_10_40,refute_10_41]) ).
cnf(refute_10_43,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_10_28,refute_10_42]) ).
cnf(refute_10_44,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_10_2,refute_10_43]) ).
cnf(refute_10_45,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_10_46,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_10_47,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_10_45,refute_10_46]) ).
cnf(refute_10_48,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_10_18,refute_10_47]) ).
cnf(refute_10_49,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_10_37:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_10_50,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_10_48,refute_10_49]) ).
cnf(refute_10_51,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_10_44,refute_10_50]) ).
cnf(refute_10_52,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_10_53,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_10_51,refute_10_52]) ).
cnf(refute_10_54,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_10_1,refute_10_53]) ).
cnf(refute_10_55,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_10_56,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_10_54,refute_10_55]) ).
cnf(refute_10_57,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_10_19]) ).
cnf(refute_10_58,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_10_59,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_10_57,refute_10_58]) ).
cnf(refute_10_60,plain,
h4(op1(e12,e12)) = h4(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e12)))]]) ).
cnf(refute_10_61,plain,
( h4(op1(e12,e12)) != h4(op1(e12,e12))
| op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_10_62,plain,
( op1(e12,e12) != e13
| h4(op1(e12,e12)) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(op1(e12,e12))) )],[refute_10_60,refute_10_61]) ).
cnf(refute_10_63,plain,
h4(op1(e12,e12)) = h4(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_10_59,refute_10_62]) ).
cnf(refute_10_64,plain,
( h4(e13) != e20
| h4(op1(e12,e12)) != h4(e13)
| h4(op1(e12,e12)) = e20 ),
inference(subst,[],[refute_10_37:[bind(X,$fot(h4(op1(e12,e12)))),bind(Y,$fot(h4(e13))),bind(Z,$fot(e20))]]) ).
cnf(refute_10_65,plain,
( h4(e13) != e20
| h4(op1(e12,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),h4(e13)) )],[refute_10_63,refute_10_64]) ).
cnf(refute_10_66,plain,
h4(op1(e12,e12)) = e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_10_56,refute_10_65]) ).
cnf(refute_10_67,plain,
( e20 != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) != e20
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e12)),e20) ),[1],$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_68,plain,
( e20 != op2(h4(e12),h4(e12))
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),e20) )],[refute_10_66,refute_10_67]) ).
cnf(refute_10_69,plain,
( h4(e13) != e20
| h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_10_70,plain,
( h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_10_56,refute_10_69]) ).
cnf(refute_10_71,plain,
e20 = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_10_29,refute_10_70]) ).
cnf(refute_10_72,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_10_7:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_73,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_10_71,refute_10_72]) ).
cnf(refute_10_74,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_10_20]) ).
cnf(refute_10_75,plain,
op2(e23,h4(e12)) = op2(e23,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e12)))]]) ).
cnf(refute_10_76,plain,
( h4(e12) != e23
| op2(e23,h4(e12)) != op2(e23,h4(e12))
| op2(e23,h4(e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_10_77,plain,
( h4(e12) != e23
| op2(e23,h4(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,h4(e12))) )],[refute_10_75,refute_10_76]) ).
cnf(refute_10_78,plain,
op2(e23,h4(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_74,refute_10_77]) ).
cnf(refute_10_79,plain,
op2(h4(e12),h4(e12)) = op2(h4(e12),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e12)))]]) ).
cnf(refute_10_80,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e12)) != op2(h4(e12),h4(e12))
| op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_10_81,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e12)) = op2(e23,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(h4(e12),h4(e12))) )],[refute_10_79,refute_10_80]) ).
cnf(refute_10_82,plain,
op2(h4(e12),h4(e12)) = op2(e23,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_10_74,refute_10_81]) ).
cnf(refute_10_83,plain,
( op2(e23,h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) != op2(e23,h4(e12))
| op2(h4(e12),h4(e12)) = op2(e23,e23) ),
inference(subst,[],[refute_10_37:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,h4(e12)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_10_84,plain,
( op2(e23,h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,h4(e12))) )],[refute_10_82,refute_10_83]) ).
cnf(refute_10_85,plain,
op2(h4(e12),h4(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h4(e12)),op2(e23,e23)) )],[refute_10_78,refute_10_84]) ).
cnf(refute_10_86,plain,
( op2(e23,e23) != e20
| op2(h4(e12),h4(e12)) != op2(e23,e23)
| op2(h4(e12),h4(e12)) = e20 ),
inference(subst,[],[refute_10_37:[bind(X,$fot(op2(h4(e12),h4(e12)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_10_87,plain,
( op2(e23,e23) != e20
| op2(h4(e12),h4(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),op2(e23,e23)) )],[refute_10_85,refute_10_86]) ).
cnf(refute_10_88,plain,
op2(h4(e12),h4(e12)) = e20,
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_10_73,refute_10_87]) ).
cnf(refute_10_89,plain,
( e20 != e20
| op2(h4(e12),h4(e12)) != e20
| e20 = op2(h4(e12),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h4(e12),h4(e12))) ),[1],$fot(e20)]]) ).
cnf(refute_10_90,plain,
( e20 != e20
| e20 = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e12)),e20) )],[refute_10_88,refute_10_89]) ).
cnf(refute_10_91,plain,
( e20 != e20
| h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
inference(resolve,[$cnf( $equal(e20,op2(h4(e12),h4(e12))) )],[refute_10_90,refute_10_68]) ).
cnf(refute_10_92,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(op1(e12,e12)),op2(h4(e12),h4(e12))) )],[refute_10_91,refute_10_0]) ).
cnf(refute_10_93,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_10_94,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_10_93,refute_10_92]) ).
fof(negate_11_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) )
=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(negate,[],[subgoal_11]) ).
fof(normalize_11_0,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_11_0]) ).
fof(normalize_11_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_11_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_11_1]) ).
fof(normalize_11_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_11_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_11_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_11_5]) ).
fof(normalize_11_7,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_11_0,normalize_11_2,normalize_11_4,normalize_11_6]) ).
fof(normalize_11_8,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(conjunct,[],[normalize_11_7]) ).
fof(normalize_11_9,plain,
( 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_11_10,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_11,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_11_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_13,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_11_11]) ).
fof(normalize_11_14,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_15,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_11_3]) ).
fof(normalize_11_16,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_17,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_11_18,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_11_17]) ).
fof(normalize_11_19,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_11_17]) ).
fof(normalize_11_20,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_21,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_22,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_23,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_11_17]) ).
fof(normalize_11_24,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_11_25,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_26,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_11_24]) ).
fof(normalize_11_27,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_28,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_11_9]) ).
fof(normalize_11_29,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_11_11]) ).
cnf(refute_11_0,plain,
h4(op1(e12,e13)) != op2(h4(e12),h4(e13)),
inference(canonicalize,[],[normalize_11_8]) ).
cnf(refute_11_1,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_11_10]) ).
cnf(refute_11_2,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_11_12]) ).
cnf(refute_11_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_11_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_11_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_11_3,refute_11_4]) ).
cnf(refute_11_6,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_11_7,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_11_2,refute_11_6]) ).
cnf(refute_11_8,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_11_9,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_11_10,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_11_8,refute_11_9]) ).
cnf(refute_11_11,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_7,refute_11_10]) ).
cnf(refute_11_12,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_11_13,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_11_11,refute_11_12]) ).
cnf(refute_11_14,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_11_13]) ).
cnf(refute_11_15,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_11_16,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_11_14,refute_11_15]) ).
cnf(refute_11_17,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_11_18,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_11_16,refute_11_17]) ).
cnf(refute_11_19,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_11_13,refute_11_18]) ).
cnf(refute_11_20,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_11_1,refute_11_19]) ).
cnf(refute_11_21,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_11_14]) ).
cnf(refute_11_22,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_11_15]) ).
cnf(refute_11_23,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_11_24,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_11_22,refute_11_23]) ).
cnf(refute_11_25,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_11_16]) ).
cnf(refute_11_26,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_11_18]) ).
cnf(refute_11_27,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_11_28,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_11_26,refute_11_27]) ).
cnf(refute_11_29,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_11_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_11_29,refute_11_30]) ).
cnf(refute_11_32,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_28,refute_11_31]) ).
cnf(refute_11_33,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_11_34,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_11_32,refute_11_33]) ).
cnf(refute_11_35,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_11_19]) ).
cnf(refute_11_36,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_11_37,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_11_35,refute_11_36]) ).
cnf(refute_11_38,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_11_39,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_11_37,refute_11_38]) ).
cnf(refute_11_40,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_11_34,refute_11_39]) ).
cnf(refute_11_41,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_11_25,refute_11_40]) ).
cnf(refute_11_42,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_11_43,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_44,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_11_42,refute_11_43]) ).
cnf(refute_11_45,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_11_41,refute_11_44]) ).
cnf(refute_11_46,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_11_47,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_11_5,refute_11_46]) ).
cnf(refute_11_48,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_11_49,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_11_45,refute_11_48]) ).
cnf(refute_11_50,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_11_24,refute_11_49]) ).
cnf(refute_11_51,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_11_52,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_11_50,refute_11_51]) ).
cnf(refute_11_53,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_11_21,refute_11_52]) ).
cnf(refute_11_54,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_11_20]) ).
cnf(refute_11_55,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_11_56,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_57,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_11_55,refute_11_56]) ).
cnf(refute_11_58,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_28,refute_11_57]) ).
cnf(refute_11_59,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_11_60,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_11_58,refute_11_59]) ).
cnf(refute_11_61,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_11_54,refute_11_60]) ).
cnf(refute_11_62,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_11_21]) ).
cnf(refute_11_63,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_11_64,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_65,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_11_63,refute_11_64]) ).
cnf(refute_11_66,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_28,refute_11_65]) ).
cnf(refute_11_67,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_11_68,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_11_66,refute_11_67]) ).
cnf(refute_11_69,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_11_62,refute_11_68]) ).
cnf(refute_11_70,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_11_22]) ).
cnf(refute_11_71,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_11_72,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_73,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_11_71,refute_11_72]) ).
cnf(refute_11_74,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_11_41,refute_11_73]) ).
cnf(refute_11_75,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_11_76,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_11_74,refute_11_75]) ).
cnf(refute_11_77,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_11_78,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_11_79,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_11_77,refute_11_78]) ).
cnf(refute_11_80,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_11_28,refute_11_79]) ).
cnf(refute_11_81,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_11_82,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_11_80,refute_11_81]) ).
cnf(refute_11_83,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_7,refute_11_82]) ).
cnf(refute_11_84,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_11_85,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_11_83,refute_11_84]) ).
cnf(refute_11_86,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_11_76,refute_11_85]) ).
cnf(refute_11_87,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_11_70,refute_11_86]) ).
cnf(refute_11_88,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_11_89,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_11_90,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_11_88,refute_11_89]) ).
cnf(refute_11_91,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_11_87,refute_11_90]) ).
cnf(refute_11_92,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_11_93,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_11_91,refute_11_92]) ).
cnf(refute_11_94,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_11_69,refute_11_93]) ).
cnf(refute_11_95,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_11_23]) ).
cnf(refute_11_96,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_11_97,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_11_98,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_11_96,refute_11_97]) ).
cnf(refute_11_99,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_11_37,refute_11_98]) ).
cnf(refute_11_100,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_11_101,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_11_99,refute_11_100]) ).
cnf(refute_11_102,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_11_87,refute_11_101]) ).
cnf(refute_11_103,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_11_104,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_11_102,refute_11_103]) ).
cnf(refute_11_105,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_11_95,refute_11_104]) ).
cnf(refute_11_106,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_11_107,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_11_105,refute_11_106]) ).
cnf(refute_11_108,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_11_109,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_110,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_11_108,refute_11_109]) ).
cnf(refute_11_111,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_107,refute_11_110]) ).
cnf(refute_11_112,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_11_113,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_11_111,refute_11_112]) ).
cnf(refute_11_114,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_11_94,refute_11_113]) ).
cnf(refute_11_115,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_11_116,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_11_114,refute_11_115]) ).
cnf(refute_11_117,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_11_118,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_11_119,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_11_117,refute_11_118]) ).
cnf(refute_11_120,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_11_116,refute_11_119]) ).
cnf(refute_11_121,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_11_122,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_11_120,refute_11_121]) ).
cnf(refute_11_123,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_11_61,refute_11_122]) ).
cnf(refute_11_124,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_11_125,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_11_123,refute_11_124]) ).
cnf(refute_11_126,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_11_53,refute_11_125]) ).
cnf(refute_11_127,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_11_128,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_11_129,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_11_127,refute_11_128]) ).
cnf(refute_11_130,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_107,refute_11_129]) ).
cnf(refute_11_131,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_11_132,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_11_130,refute_11_131]) ).
cnf(refute_11_133,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_11_126,refute_11_132]) ).
cnf(refute_11_134,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_135,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_11_133,refute_11_134]) ).
cnf(refute_11_136,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_11_20,refute_11_135]) ).
cnf(refute_11_137,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_11_138,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_11_136,refute_11_137]) ).
cnf(refute_11_139,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_11_25]) ).
cnf(refute_11_140,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_11_26]) ).
cnf(refute_11_141,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_11_142,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_11_140,refute_11_141]) ).
cnf(refute_11_143,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_11_144,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_11_145,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_11_143,refute_11_144]) ).
cnf(refute_11_146,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_11_142,refute_11_145]) ).
cnf(refute_11_147,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_11_148,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_11_146,refute_11_147]) ).
cnf(refute_11_149,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_11_139,refute_11_148]) ).
cnf(refute_11_150,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_11_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_11_151,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_11_149,refute_11_150]) ).
cnf(refute_11_152,plain,
h4(op1(e12,e13)) = h4(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e12,e13)))]]) ).
cnf(refute_11_153,plain,
( h4(op1(e12,e13)) != h4(op1(e12,e13))
| op1(e12,e13) != e11
| h4(op1(e12,e13)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_11_154,plain,
( op1(e12,e13) != e11
| h4(op1(e12,e13)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(op1(e12,e13))) )],[refute_11_152,refute_11_153]) ).
cnf(refute_11_155,plain,
h4(op1(e12,e13)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_11_151,refute_11_154]) ).
cnf(refute_11_156,plain,
( h4(e11) != h2(e13)
| h4(op1(e12,e13)) != h4(e11)
| h4(op1(e12,e13)) = h2(e13) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(h4(op1(e12,e13)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_11_157,plain,
( h4(e11) != h2(e13)
| h4(op1(e12,e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h4(e11)) )],[refute_11_155,refute_11_156]) ).
cnf(refute_11_158,plain,
h4(op1(e12,e13)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_11_138,refute_11_157]) ).
cnf(refute_11_159,plain,
( h2(e13) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) != h2(e13)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e12,e13)),h2(e13)) ),[1],$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_160,plain,
( h2(e13) != op2(h4(e12),h4(e13))
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),h2(e13)) )],[refute_11_158,refute_11_159]) ).
cnf(refute_11_161,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(canonicalize,[],[normalize_11_27]) ).
cnf(refute_11_162,plain,
op2(e23,op2(e21,e22)) = op2(e23,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e22)))]]) ).
cnf(refute_11_163,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) != op2(e23,op2(e21,e22))
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_11_164,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) )],[refute_11_162,refute_11_163]) ).
cnf(refute_11_165,plain,
op2(e23,op2(e21,e22)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_11_87,refute_11_164]) ).
cnf(refute_11_166,plain,
( op2(e23,op2(e21,e22)) != op2(e23,h4(e13))
| op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) ),[1],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_11_167,plain,
( op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,h4(e13))) )],[refute_11_165,refute_11_166]) ).
cnf(refute_11_168,plain,
op2(op2(e23,e21),e22) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) )],[refute_11_161,refute_11_167]) ).
cnf(refute_11_169,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_11_28]) ).
cnf(refute_11_170,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_11_171,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_11_172,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_11_170,refute_11_171]) ).
cnf(refute_11_173,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_11_7,refute_11_172]) ).
cnf(refute_11_174,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_11_175,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_11_173,refute_11_174]) ).
cnf(refute_11_176,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_11_94,refute_11_175]) ).
cnf(refute_11_177,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_11_178,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_11_176,refute_11_177]) ).
cnf(refute_11_179,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_11_180,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_11_181,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_11_179,refute_11_180]) ).
cnf(refute_11_182,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_11_41,refute_11_181]) ).
cnf(refute_11_183,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_11_184,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_11_182,refute_11_183]) ).
cnf(refute_11_185,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_11_178,refute_11_184]) ).
cnf(refute_11_186,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_11_169,refute_11_185]) ).
cnf(refute_11_187,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_11_188,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_11_186,refute_11_187]) ).
cnf(refute_11_189,plain,
op2(op2(e23,e21),e22) = op2(op2(e23,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e22))]]) ).
cnf(refute_11_190,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) != op2(op2(e23,e21),e22)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_11_191,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) )],[refute_11_189,refute_11_190]) ).
cnf(refute_11_192,plain,
op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_11_188,refute_11_191]) ).
cnf(refute_11_193,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(op2(e21,e23),e22)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(op2(e23,e21),e22))),bind(Y,$fot(op2(op2(e21,e23),e22))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_11_194,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e21,e23),e22)) )],[refute_11_192,refute_11_193]) ).
cnf(refute_11_195,plain,
op2(op2(e23,e21),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_11_53,refute_11_194]) ).
cnf(refute_11_196,plain,
( op2(op2(e23,e21),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_11_197,plain,
( op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),h2(e13)) )],[refute_11_195,refute_11_196]) ).
cnf(refute_11_198,plain,
h2(e13) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) )],[refute_11_168,refute_11_197]) ).
cnf(refute_11_199,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_11_200,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_11_201,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_11_199,refute_11_200]) ).
cnf(refute_11_202,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_11_107,refute_11_201]) ).
cnf(refute_11_203,plain,
( h2(e13) != op2(e23,h4(e13))
| op2(e23,h4(e13)) != op2(e23,e20)
| h2(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e20)) ),[0],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_11_204,plain,
( h2(e13) != op2(e23,h4(e13))
| h2(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_11_202,refute_11_203]) ).
cnf(refute_11_205,plain,
h2(e13) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e13))) )],[refute_11_198,refute_11_204]) ).
cnf(refute_11_206,plain,
( h2(e13) != op2(e23,e20)
| op2(e23,e20) = h2(e13) ),
inference(subst,[],[refute_11_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_11_207,plain,
op2(e23,e20) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e20)) )],[refute_11_205,refute_11_206]) ).
cnf(refute_11_208,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_11_29]) ).
cnf(refute_11_209,plain,
op2(h4(e12),h4(e13)) = op2(h4(e12),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e12),h4(e13)))]]) ).
cnf(refute_11_210,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) != op2(h4(e12),h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_11_211,plain,
( h4(e12) != e23
| op2(h4(e12),h4(e13)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(h4(e12),h4(e13))) )],[refute_11_209,refute_11_210]) ).
cnf(refute_11_212,plain,
op2(h4(e12),h4(e13)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_11_208,refute_11_211]) ).
cnf(refute_11_213,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) != op2(e23,h4(e13))
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,h4(e13)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_11_214,plain,
( op2(e23,h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,h4(e13))) )],[refute_11_212,refute_11_213]) ).
cnf(refute_11_215,plain,
op2(h4(e12),h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_11_202,refute_11_214]) ).
cnf(refute_11_216,plain,
( op2(e23,e20) != h2(e13)
| op2(h4(e12),h4(e13)) != op2(e23,e20)
| op2(h4(e12),h4(e13)) = h2(e13) ),
inference(subst,[],[refute_11_47:[bind(X,$fot(op2(h4(e12),h4(e13)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_11_217,plain,
( op2(e23,e20) != h2(e13)
| op2(h4(e12),h4(e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),op2(e23,e20)) )],[refute_11_215,refute_11_216]) ).
cnf(refute_11_218,plain,
op2(h4(e12),h4(e13)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_11_207,refute_11_217]) ).
cnf(refute_11_219,plain,
( h2(e13) != h2(e13)
| op2(h4(e12),h4(e13)) != h2(e13)
| h2(e13) = op2(h4(e12),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h4(e12),h4(e13))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_11_220,plain,
( h2(e13) != h2(e13)
| h2(e13) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e12),h4(e13)),h2(e13)) )],[refute_11_218,refute_11_219]) ).
cnf(refute_11_221,plain,
( h2(e13) != h2(e13)
| h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e12),h4(e13))) )],[refute_11_220,refute_11_160]) ).
cnf(refute_11_222,plain,
h2(e13) != h2(e13),
inference(resolve,[$cnf( $equal(h4(op1(e12,e13)),op2(h4(e12),h4(e13))) )],[refute_11_221,refute_11_0]) ).
cnf(refute_11_223,plain,
h2(e13) = h2(e13),
introduced(tautology,[refl,[$fot(h2(e13))]]) ).
cnf(refute_11_224,plain,
$false,
inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_11_223,refute_11_222]) ).
fof(negate_12_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) )
=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(negate,[],[subgoal_12]) ).
fof(normalize_12_0,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_12_0]) ).
fof(normalize_12_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_12_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_12_1]) ).
fof(normalize_12_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_12_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_12_3]) ).
fof(normalize_12_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_12_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_12_5]) ).
fof(normalize_12_7,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_12_0,normalize_12_2,normalize_12_4,normalize_12_6]) ).
fof(normalize_12_8,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_9,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(conjunct,[],[normalize_12_7]) ).
fof(normalize_12_10,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_11,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_12,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_12_1]) ).
fof(normalize_12_13,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_12_1]) ).
fof(normalize_12_14,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_12_15,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_12_14]) ).
fof(normalize_12_16,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_17,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_18,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_12_14]) ).
fof(normalize_12_19,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_12_14]) ).
fof(normalize_12_20,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_12_21,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_12_20]) ).
fof(normalize_12_22,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_12_20]) ).
fof(normalize_12_23,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_24,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_12_3]) ).
fof(normalize_12_25,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_26,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_27,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_28,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_29,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_30,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_31,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_32,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_12_10]) ).
fof(normalize_12_33,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_12_20]) ).
fof(normalize_12_34,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_35,plain,
op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_36,plain,
op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_37,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_38,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_12_39,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_12_38]) ).
fof(normalize_12_40,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_12_38]) ).
fof(normalize_12_41,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_42,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_43,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_44,plain,
op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_45,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_12_34]) ).
fof(normalize_12_46,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_12_38]) ).
cnf(refute_12_0,plain,
h4(op1(e13,e10)) != op2(h4(e13),h4(e10)),
inference(canonicalize,[],[normalize_12_8]) ).
cnf(refute_12_1,plain,
h4(op1(e10,e13)) = op2(h4(e10),h4(e13)),
inference(canonicalize,[],[normalize_12_9]) ).
cnf(refute_12_2,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_12_11]) ).
cnf(refute_12_3,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_12_12]) ).
cnf(refute_12_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_12_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_12_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_12_4,refute_12_5]) ).
cnf(refute_12_7,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_12_8,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_12_3,refute_12_7]) ).
cnf(refute_12_9,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_12_10,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_12_11,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_12_9,refute_12_10]) ).
cnf(refute_12_12,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_8,refute_12_11]) ).
cnf(refute_12_13,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_12_14,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_12_12,refute_12_13]) ).
cnf(refute_12_15,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_12_13]) ).
cnf(refute_12_16,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e11) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_12_17,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_12_15,refute_12_16]) ).
cnf(refute_12_18,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_12_19,plain,
( op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_12_17,refute_12_18]) ).
cnf(refute_12_20,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) )],[refute_12_14,refute_12_19]) ).
cnf(refute_12_21,plain,
op2(h1(e13),e20) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) )],[refute_12_2,refute_12_20]) ).
cnf(refute_12_22,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_12_15]) ).
cnf(refute_12_23,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_12_16]) ).
cnf(refute_12_24,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_12_17]) ).
cnf(refute_12_25,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_12_18]) ).
cnf(refute_12_26,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_12_27,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_12_25,refute_12_26]) ).
cnf(refute_12_28,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_12_29,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_12_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_12_28,refute_12_29]) ).
cnf(refute_12_31,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_27,refute_12_30]) ).
cnf(refute_12_32,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_12_33,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_12_31,refute_12_32]) ).
cnf(refute_12_34,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_12_19]) ).
cnf(refute_12_35,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_12_36,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_12_34,refute_12_35]) ).
cnf(refute_12_37,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_12_38,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_12_36,refute_12_37]) ).
cnf(refute_12_39,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_12_33,refute_12_38]) ).
cnf(refute_12_40,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_12_24,refute_12_39]) ).
cnf(refute_12_41,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_12_42,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_43,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_12_41,refute_12_42]) ).
cnf(refute_12_44,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_12_40,refute_12_43]) ).
cnf(refute_12_45,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_12_46,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_12_44,refute_12_45]) ).
cnf(refute_12_47,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_12_21]) ).
cnf(refute_12_48,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_12_49,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_12_47,refute_12_48]) ).
cnf(refute_12_50,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_12_51,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_52,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_12_50,refute_12_51]) ).
cnf(refute_12_53,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_27,refute_12_52]) ).
cnf(refute_12_54,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_12_55,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_12_6,refute_12_54]) ).
cnf(refute_12_56,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_12_57,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_12_53,refute_12_56]) ).
cnf(refute_12_58,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_49,refute_12_57]) ).
cnf(refute_12_59,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_12_60,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_12_58,refute_12_59]) ).
cnf(refute_12_61,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_12_46,refute_12_60]) ).
cnf(refute_12_62,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_12_23,refute_12_61]) ).
cnf(refute_12_63,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_12_64,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_12_65,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_12_63,refute_12_64]) ).
cnf(refute_12_66,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_12_36,refute_12_65]) ).
cnf(refute_12_67,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_12_68,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_12_66,refute_12_67]) ).
cnf(refute_12_69,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_12_62,refute_12_68]) ).
cnf(refute_12_70,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_12_71,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_12_69,refute_12_70]) ).
cnf(refute_12_72,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_12_22,refute_12_71]) ).
cnf(refute_12_73,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_12_74,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_12_72,refute_12_73]) ).
cnf(refute_12_75,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e13)))]]) ).
cnf(refute_12_76,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_77,plain,
( h4(e13) != e20
| op2(h1(e13),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_12_75,refute_12_76]) ).
cnf(refute_12_78,plain,
op2(h1(e13),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_74,refute_12_77]) ).
cnf(refute_12_79,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_12_22]) ).
cnf(refute_12_80,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_12_23]) ).
cnf(refute_12_81,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_12_24]) ).
cnf(refute_12_82,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_12_83,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_12_81,refute_12_82]) ).
cnf(refute_12_84,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_12_85,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_12_86,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_12_84,refute_12_85]) ).
cnf(refute_12_87,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_83,refute_12_86]) ).
cnf(refute_12_88,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_12_89,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_12_87,refute_12_88]) ).
cnf(refute_12_90,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_12_80,refute_12_89]) ).
cnf(refute_12_91,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_12_25]) ).
cnf(refute_12_92,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_12_26]) ).
cnf(refute_12_93,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_12_94,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_12_95,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_12_93,refute_12_94]) ).
cnf(refute_12_96,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_83,refute_12_95]) ).
cnf(refute_12_97,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_12_98,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_12_96,refute_12_97]) ).
cnf(refute_12_99,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_12_92,refute_12_98]) ).
cnf(refute_12_100,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_12_101,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_12_99,refute_12_100]) ).
cnf(refute_12_102,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_12_27]) ).
cnf(refute_12_103,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_12_28]) ).
cnf(refute_12_104,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_12_105,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_106,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_12_104,refute_12_105]) ).
cnf(refute_12_107,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_27,refute_12_106]) ).
cnf(refute_12_108,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_12_109,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_12_107,refute_12_108]) ).
cnf(refute_12_110,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_12_103,refute_12_109]) ).
cnf(refute_12_111,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_12_112,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_12_113,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_12_111,refute_12_112]) ).
cnf(refute_12_114,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_12_62,refute_12_113]) ).
cnf(refute_12_115,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_12_116,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_12_114,refute_12_115]) ).
cnf(refute_12_117,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_12_110,refute_12_116]) ).
cnf(refute_12_118,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_12_119,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_12_120,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_12_118,refute_12_119]) ).
cnf(refute_12_121,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_49,refute_12_120]) ).
cnf(refute_12_122,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_12_123,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_12_121,refute_12_122]) ).
cnf(refute_12_124,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_12_117,refute_12_123]) ).
cnf(refute_12_125,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_12_126,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_12_124,refute_12_125]) ).
cnf(refute_12_127,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_12_128,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_129,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_12_127,refute_12_128]) ).
cnf(refute_12_130,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_12_40,refute_12_129]) ).
cnf(refute_12_131,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_12_132,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_12_130,refute_12_131]) ).
cnf(refute_12_133,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_12_126,refute_12_132]) ).
cnf(refute_12_134,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_12_102,refute_12_133]) ).
cnf(refute_12_135,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_12_136,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_12_134,refute_12_135]) ).
cnf(refute_12_137,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_12_138,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_12_139,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_12_137,refute_12_138]) ).
cnf(refute_12_140,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_12_136,refute_12_139]) ).
cnf(refute_12_141,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_12_142,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_12_140,refute_12_141]) ).
cnf(refute_12_143,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_12_101,refute_12_142]) ).
cnf(refute_12_144,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_12_145,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_12_143,refute_12_144]) ).
cnf(refute_12_146,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_12_91,refute_12_145]) ).
cnf(refute_12_147,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_12_148,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_12_149,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_12_147,refute_12_148]) ).
cnf(refute_12_150,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_12_136,refute_12_149]) ).
cnf(refute_12_151,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_12_152,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_12_150,refute_12_151]) ).
cnf(refute_12_153,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_12_146,refute_12_152]) ).
cnf(refute_12_154,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_12_155,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_12_153,refute_12_154]) ).
cnf(refute_12_156,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_12_90,refute_12_155]) ).
cnf(refute_12_157,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_12_29]) ).
cnf(refute_12_158,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_12_159,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_12_160,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_12_158,refute_12_159]) ).
cnf(refute_12_161,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_49,refute_12_160]) ).
cnf(refute_12_162,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_12_163,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_12_161,refute_12_162]) ).
cnf(refute_12_164,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_12_157,refute_12_163]) ).
cnf(refute_12_165,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_12_166,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_12_167,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_12_165,refute_12_166]) ).
cnf(refute_12_168,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_74,refute_12_167]) ).
cnf(refute_12_169,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_12_170,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_12_168,refute_12_169]) ).
cnf(refute_12_171,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_8,refute_12_170]) ).
cnf(refute_12_172,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_12_173,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_12_171,refute_12_172]) ).
cnf(refute_12_174,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_12_164,refute_12_173]) ).
cnf(refute_12_175,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_12_30]) ).
cnf(refute_12_176,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_12_177,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_12_178,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_12_176,refute_12_177]) ).
cnf(refute_12_179,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_12_40,refute_12_178]) ).
cnf(refute_12_180,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_12_181,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_12_179,refute_12_180]) ).
cnf(refute_12_182,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_12_83,refute_12_181]) ).
cnf(refute_12_183,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_12_184,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_12_182,refute_12_183]) ).
cnf(refute_12_185,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_12_175,refute_12_184]) ).
cnf(refute_12_186,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_12_31]) ).
cnf(refute_12_187,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_12_188,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_12_189,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_12_187,refute_12_188]) ).
cnf(refute_12_190,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_12_27,refute_12_189]) ).
cnf(refute_12_191,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_12_192,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_12_190,refute_12_191]) ).
cnf(refute_12_193,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_12_186,refute_12_192]) ).
cnf(refute_12_194,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_12_195,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_196,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_12_194,refute_12_195]) ).
cnf(refute_12_197,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_74,refute_12_196]) ).
cnf(refute_12_198,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_12_199,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_12_197,refute_12_198]) ).
cnf(refute_12_200,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_12_117,refute_12_199]) ).
cnf(refute_12_201,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_12_202,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_12_200,refute_12_201]) ).
cnf(refute_12_203,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_12_204,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_12_205,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_12_203,refute_12_204]) ).
cnf(refute_12_206,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_12_202,refute_12_205]) ).
cnf(refute_12_207,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_12_208,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_12_206,refute_12_207]) ).
cnf(refute_12_209,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_12_193,refute_12_208]) ).
cnf(refute_12_210,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_12_211,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_12_209,refute_12_210]) ).
cnf(refute_12_212,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_12_185,refute_12_211]) ).
cnf(refute_12_213,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_12_214,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_12_215,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_12_213,refute_12_214]) ).
cnf(refute_12_216,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_12_212,refute_12_215]) ).
cnf(refute_12_217,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_12_218,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_12_216,refute_12_217]) ).
cnf(refute_12_219,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_12_156,refute_12_218]) ).
cnf(refute_12_220,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_12_221,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_12_219,refute_12_220]) ).
cnf(refute_12_222,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_12_174,refute_12_221]) ).
cnf(refute_12_223,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_12_224,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_12_222,refute_12_223]) ).
cnf(refute_12_225,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_12_156,refute_12_224]) ).
cnf(refute_12_226,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_12_32]) ).
cnf(refute_12_227,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_12_228,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_12_229,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_12_227,refute_12_228]) ).
cnf(refute_12_230,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_12_49,refute_12_229]) ).
cnf(refute_12_231,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_12_232,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_12_230,refute_12_231]) ).
cnf(refute_12_233,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_12_33]) ).
cnf(refute_12_234,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_12_235,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_12_233,refute_12_234]) ).
cnf(refute_12_236,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_12_237,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_12_235,refute_12_236]) ).
cnf(refute_12_238,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_12_232,refute_12_237]) ).
cnf(refute_12_239,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_12_226,refute_12_238]) ).
cnf(refute_12_240,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_12_241,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_242,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_12_240,refute_12_241]) ).
cnf(refute_12_243,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_74,refute_12_242]) ).
cnf(refute_12_244,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_12_245,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_12_243,refute_12_244]) ).
cnf(refute_12_246,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_12_212,refute_12_245]) ).
cnf(refute_12_247,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_12_248,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_12_246,refute_12_247]) ).
cnf(refute_12_249,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_12_239,refute_12_248]) ).
cnf(refute_12_250,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_12_251,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_12_249,refute_12_250]) ).
cnf(refute_12_252,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_12_253,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_12_235,refute_12_252]) ).
cnf(refute_12_254,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_12_251,refute_12_253]) ).
cnf(refute_12_255,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_12_256,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_12_257,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_12_255,refute_12_256]) ).
cnf(refute_12_258,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_12_254,refute_12_257]) ).
cnf(refute_12_259,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_12_260,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_12_258,refute_12_259]) ).
cnf(refute_12_261,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_12_225,refute_12_260]) ).
cnf(refute_12_262,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_12_263,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_12_261,refute_12_262]) ).
cnf(refute_12_264,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_12_79,refute_12_263]) ).
cnf(refute_12_265,plain,
op2(h4(e10),h4(e13)) = op2(h4(e10),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_12_266,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_12_267,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h4(e10),h4(e13))) )],[refute_12_265,refute_12_266]) ).
cnf(refute_12_268,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),h4(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_12_264,refute_12_267]) ).
cnf(refute_12_269,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) != op2(h1(e13),h4(e13))
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),h4(e13)))),bind(Z,$fot(op2(h1(e13),e20)))]]) ).
cnf(refute_12_270,plain,
( op2(h1(e13),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),h4(e13))) )],[refute_12_268,refute_12_269]) ).
cnf(refute_12_271,plain,
op2(h4(e10),h4(e13)) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e13)),op2(h1(e13),e20)) )],[refute_12_78,refute_12_270]) ).
cnf(refute_12_272,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) != op2(h1(e13),e20)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(h4(e10),h4(e13)))),bind(Y,$fot(op2(h1(e13),e20))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_12_273,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h4(e10),h4(e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),op2(h1(e13),e20)) )],[refute_12_271,refute_12_272]) ).
cnf(refute_12_274,plain,
op2(h4(e10),h4(e13)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_12_21,refute_12_273]) ).
cnf(refute_12_275,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| op2(h4(e10),h4(e13)) != h1(e11)
| h4(op1(e10,e13)) = h1(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e13)),h1(e11)) ),[0],$fot(op2(h4(e10),h4(e13)))]]) ).
cnf(refute_12_276,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e13)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e13)),h1(e11)) )],[refute_12_274,refute_12_275]) ).
cnf(refute_12_277,plain,
h4(op1(e10,e13)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),op2(h4(e10),h4(e13))) )],[refute_12_1,refute_12_276]) ).
cnf(refute_12_278,plain,
op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12)),
inference(canonicalize,[],[normalize_12_35]) ).
cnf(refute_12_279,plain,
op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
inference(canonicalize,[],[normalize_12_36]) ).
cnf(refute_12_280,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_12_37]) ).
cnf(refute_12_281,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_12_39]) ).
cnf(refute_12_282,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_12_283,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_12_281,refute_12_282]) ).
cnf(refute_12_284,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_12_285,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_12_286,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_12_284,refute_12_285]) ).
cnf(refute_12_287,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_283,refute_12_286]) ).
cnf(refute_12_288,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_12_289,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_12_287,refute_12_288]) ).
cnf(refute_12_290,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_12_40]) ).
cnf(refute_12_291,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_12_292,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_12_290,refute_12_291]) ).
cnf(refute_12_293,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_12_294,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_12_292,refute_12_293]) ).
cnf(refute_12_295,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_12_289,refute_12_294]) ).
cnf(refute_12_296,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_12_280,refute_12_295]) ).
cnf(refute_12_297,plain,
op1(e11,op1(e13,e12)) = op1(e11,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e12)))]]) ).
cnf(refute_12_298,plain,
( op1(e11,op1(e13,e12)) != op1(e11,op1(e13,e12))
| op1(e13,e12) != e11
| op1(e11,op1(e13,e12)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_12_299,plain,
( op1(e13,e12) != e11
| op1(e11,op1(e13,e12)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,op1(e13,e12))) )],[refute_12_297,refute_12_298]) ).
cnf(refute_12_300,plain,
op1(e11,op1(e13,e12)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_12_296,refute_12_299]) ).
cnf(refute_12_301,plain,
( op1(e11,op1(e13,e12)) != op1(e11,e11)
| op1(op1(e11,e13),e12) != op1(e11,op1(e13,e12))
| op1(op1(e11,e13),e12) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,op1(e13,e12))) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_12_302,plain,
( op1(op1(e11,e13),e12) != op1(e11,op1(e13,e12))
| op1(op1(e11,e13),e12) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,e11)) )],[refute_12_300,refute_12_301]) ).
cnf(refute_12_303,plain,
op1(op1(e11,e13),e12) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,op1(e13,e12))) )],[refute_12_279,refute_12_302]) ).
cnf(refute_12_304,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_12_41]) ).
cnf(refute_12_305,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_12_42]) ).
cnf(refute_12_306,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_12_307,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_12_308,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_12_306,refute_12_307]) ).
cnf(refute_12_309,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_283,refute_12_308]) ).
cnf(refute_12_310,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_12_311,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_12_309,refute_12_310]) ).
cnf(refute_12_312,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_12_305,refute_12_311]) ).
cnf(refute_12_313,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_12_43]) ).
cnf(refute_12_314,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_12_315,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_12_316,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_12_314,refute_12_315]) ).
cnf(refute_12_317,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_12_296,refute_12_316]) ).
cnf(refute_12_318,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_12_319,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_12_317,refute_12_318]) ).
cnf(refute_12_320,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_12_321,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_12_322,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_12_320,refute_12_321]) ).
cnf(refute_12_323,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_12_283,refute_12_322]) ).
cnf(refute_12_324,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_12_325,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_12_323,refute_12_324]) ).
cnf(refute_12_326,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_12_319,refute_12_325]) ).
cnf(refute_12_327,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_12_313,refute_12_326]) ).
cnf(refute_12_328,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_12_329,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_12_327,refute_12_328]) ).
cnf(refute_12_330,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_12_331,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_12_332,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_12_330,refute_12_331]) ).
cnf(refute_12_333,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_12_329,refute_12_332]) ).
cnf(refute_12_334,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_12_335,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_12_333,refute_12_334]) ).
cnf(refute_12_336,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_12_312,refute_12_335]) ).
cnf(refute_12_337,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_12_338,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_12_336,refute_12_337]) ).
cnf(refute_12_339,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_12_340,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_12_341,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_12_339,refute_12_340]) ).
cnf(refute_12_342,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_12_296,refute_12_341]) ).
cnf(refute_12_343,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_12_344,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_12_342,refute_12_343]) ).
cnf(refute_12_345,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_12_338,refute_12_344]) ).
cnf(refute_12_346,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_12_304,refute_12_345]) ).
cnf(refute_12_347,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_12_348,plain,
op1(e13,e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_12_346,refute_12_347]) ).
cnf(refute_12_349,plain,
op1(op1(e13,e11),e12) = op1(op1(e13,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e12))]]) ).
cnf(refute_12_350,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e12) != op1(op1(e13,e11),e12)
| op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e13,e11),e12)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_12_351,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e13,e11),e12)) )],[refute_12_349,refute_12_350]) ).
cnf(refute_12_352,plain,
op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_12_348,refute_12_351]) ).
cnf(refute_12_353,plain,
( op1(op1(e11,e13),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) != op1(op1(e11,e13),e12)
| op1(op1(e13,e11),e12) = op1(e11,e11) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op1(op1(e13,e11),e12))),bind(Y,$fot(op1(op1(e11,e13),e12))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_12_354,plain,
( op1(op1(e11,e13),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e11,e13),e12)) )],[refute_12_352,refute_12_353]) ).
cnf(refute_12_355,plain,
op1(op1(e13,e11),e12) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,e11)) )],[refute_12_303,refute_12_354]) ).
cnf(refute_12_356,plain,
( op1(op1(e13,e11),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) != op1(e13,op1(e11,e12))
| op1(e11,e11) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e13,op1(e11,e12))) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_12_357,plain,
( op1(op1(e13,e11),e12) != op1(e13,op1(e11,e12))
| op1(e11,e11) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e11,e11)) )],[refute_12_355,refute_12_356]) ).
cnf(refute_12_358,plain,
op1(e11,e11) = op1(e13,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e13,op1(e11,e12))) )],[refute_12_278,refute_12_357]) ).
cnf(refute_12_359,plain,
op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
inference(canonicalize,[],[normalize_12_44]) ).
cnf(refute_12_360,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_12_45]) ).
cnf(refute_12_361,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_12_362,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_12_363,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_12_361,refute_12_362]) ).
cnf(refute_12_364,plain,
op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_12_329,refute_12_363]) ).
cnf(refute_12_365,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) != op1(op1(e11,e12),e13)
| op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op1(op1(e13,e13),e13))),bind(Y,$fot(op1(op1(e11,e12),e13))),bind(Z,$fot(op1(e11,op1(e12,e13))))]]) ).
cnf(refute_12_366,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e11,e12),e13)) )],[refute_12_364,refute_12_365]) ).
cnf(refute_12_367,plain,
op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) )],[refute_12_359,refute_12_366]) ).
cnf(refute_12_368,plain,
( op1(op1(e13,e13),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e13,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) ),[0],$fot(op1(e11,op1(e12,e13)))]]) ).
cnf(refute_12_369,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e13,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e11,op1(e12,e13))) )],[refute_12_367,refute_12_368]) ).
cnf(refute_12_370,plain,
( op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e13,op1(e11,e12)) = op1(e11,e11) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e11,e11))),bind(Y,$fot(op1(e13,op1(e11,e12))))]]) ).
cnf(refute_12_371,plain,
op1(e13,op1(e11,e12)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,op1(e11,e12))) )],[refute_12_358,refute_12_370]) ).
cnf(refute_12_372,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_373,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_12_374,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_12_372,refute_12_373]) ).
cnf(refute_12_375,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_12_329,refute_12_374]) ).
cnf(refute_12_376,plain,
( op1(e13,op1(e11,e12)) != op1(e11,e11)
| op1(e13,op1(e13,e13)) != op1(e13,op1(e11,e12))
| op1(e13,op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op1(e13,op1(e13,e13)))),bind(Y,$fot(op1(e13,op1(e11,e12)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_12_377,plain,
( op1(e13,op1(e11,e12)) != op1(e11,e11)
| op1(e13,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e11,e12))) )],[refute_12_375,refute_12_376]) ).
cnf(refute_12_378,plain,
op1(e13,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e11,e11)) )],[refute_12_371,refute_12_377]) ).
cnf(refute_12_379,plain,
( op1(e11,op1(e12,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e11,e11)
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e13)),op1(e11,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_12_380,plain,
( op1(e11,op1(e12,e13)) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e11,e11)) )],[refute_12_378,refute_12_379]) ).
cnf(refute_12_381,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e13)),op1(e13,op1(e13,e13))) )],[refute_12_369,refute_12_380]) ).
cnf(refute_12_382,plain,
op1(e11,op1(e12,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) )],[refute_12_360,refute_12_381]) ).
cnf(refute_12_383,plain,
( op1(e11,op1(e12,e13)) != op1(e11,e11)
| op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e11,e12),e13) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_12_384,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e11,e12),e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e13)),op1(e11,e11)) )],[refute_12_382,refute_12_383]) ).
cnf(refute_12_385,plain,
op1(op1(e11,e12),e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) )],[refute_12_359,refute_12_384]) ).
cnf(refute_12_386,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_12_46]) ).
cnf(refute_12_387,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_12_388,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_12_389,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_12_387,refute_12_388]) ).
cnf(refute_12_390,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_12_292,refute_12_389]) ).
cnf(refute_12_391,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_12_392,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_12_390,refute_12_391]) ).
cnf(refute_12_393,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_12_386,refute_12_392]) ).
cnf(refute_12_394,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_12_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_12_395,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_12_393,refute_12_394]) ).
cnf(refute_12_396,plain,
op1(op1(e11,e12),e13) = op1(op1(e11,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e13))]]) ).
cnf(refute_12_397,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e13) != op1(op1(e11,e12),e13)
| op1(op1(e11,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(op1(e11,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_12_398,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(op1(e11,e12),e13)) )],[refute_12_396,refute_12_397]) ).
cnf(refute_12_399,plain,
op1(op1(e11,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_12_395,refute_12_398]) ).
cnf(refute_12_400,plain,
( op1(op1(e11,e12),e13) != op1(e10,e13)
| op1(op1(e11,e12),e13) != op1(e11,e11)
| op1(e10,e13) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,e11)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_12_401,plain,
( op1(op1(e11,e12),e13) != op1(e11,e11)
| op1(e10,e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e10,e13)) )],[refute_12_399,refute_12_400]) ).
cnf(refute_12_402,plain,
op1(e10,e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,e11)) )],[refute_12_385,refute_12_401]) ).
cnf(refute_12_403,plain,
( op1(e10,e13) != op1(e11,e11)
| op1(e11,e11) = op1(e10,e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_12_404,plain,
op1(e11,e11) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e11)) )],[refute_12_402,refute_12_403]) ).
cnf(refute_12_405,plain,
( op1(e11,e11) != op1(e10,e13)
| op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),op1(e13,op1(e11,e12))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_12_406,plain,
( op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e10,e13)) )],[refute_12_404,refute_12_405]) ).
cnf(refute_12_407,plain,
op1(e13,op1(e11,e12)) = op1(e13,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e11,e12)))]]) ).
cnf(refute_12_408,plain,
( op1(e11,e12) != e10
| op1(e13,op1(e11,e12)) != op1(e13,op1(e11,e12))
| op1(e13,op1(e11,e12)) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e13,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_12_409,plain,
( op1(e11,e12) != e10
| op1(e13,op1(e11,e12)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e13,op1(e11,e12))) )],[refute_12_407,refute_12_408]) ).
cnf(refute_12_410,plain,
op1(e13,op1(e11,e12)) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_12_395,refute_12_409]) ).
cnf(refute_12_411,plain,
( op1(e10,e13) != op1(e13,op1(e11,e12))
| op1(e13,op1(e11,e12)) != op1(e13,e10)
| op1(e10,e13) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e10)) ),[0],$fot(op1(e13,op1(e11,e12)))]]) ).
cnf(refute_12_412,plain,
( op1(e10,e13) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e13,e10)) )],[refute_12_410,refute_12_411]) ).
cnf(refute_12_413,plain,
( op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,op1(e11,e12))) )],[refute_12_406,refute_12_412]) ).
cnf(refute_12_414,plain,
op1(e10,e13) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,op1(e11,e12))) )],[refute_12_358,refute_12_413]) ).
cnf(refute_12_415,plain,
( op1(e10,e13) != op1(e13,e10)
| op1(e13,e10) = op1(e10,e13) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_12_416,plain,
op1(e13,e10) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e10)) )],[refute_12_414,refute_12_415]) ).
cnf(refute_12_417,plain,
h4(op1(e13,e10)) = h4(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e10)))]]) ).
cnf(refute_12_418,plain,
( h4(op1(e13,e10)) != h4(op1(e13,e10))
| op1(e13,e10) != op1(e10,e13)
| h4(op1(e13,e10)) = h4(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_12_419,plain,
( op1(e13,e10) != op1(e10,e13)
| h4(op1(e13,e10)) = h4(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e13,e10))) )],[refute_12_417,refute_12_418]) ).
cnf(refute_12_420,plain,
h4(op1(e13,e10)) = h4(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e10,e13)) )],[refute_12_416,refute_12_419]) ).
cnf(refute_12_421,plain,
( h4(op1(e10,e13)) != h1(e11)
| h4(op1(e13,e10)) != h4(op1(e10,e13))
| h4(op1(e13,e10)) = h1(e11) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(h4(op1(e13,e10)))),bind(Y,$fot(h4(op1(e10,e13)))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_12_422,plain,
( h4(op1(e10,e13)) != h1(e11)
| h4(op1(e13,e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h4(op1(e10,e13))) )],[refute_12_420,refute_12_421]) ).
cnf(refute_12_423,plain,
h4(op1(e13,e10)) = h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e10,e13)),h1(e11)) )],[refute_12_277,refute_12_422]) ).
cnf(refute_12_424,plain,
( h1(e11) != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) != h1(e11)
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e10)),h1(e11)) ),[1],$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_12_425,plain,
( h1(e11) != op2(h4(e13),h4(e10))
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),h1(e11)) )],[refute_12_423,refute_12_424]) ).
cnf(refute_12_426,plain,
op2(e20,op2(e20,e20)) = op2(e20,op2(e20,e20)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_12_427,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_12_428,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,op2(e20,e20)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,op2(e20,e20))) )],[refute_12_426,refute_12_427]) ).
cnf(refute_12_429,plain,
op2(e20,op2(e20,e20)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_12_8,refute_12_428]) ).
cnf(refute_12_430,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) != op2(e20,h1(e13))
| h1(e11) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(e20,h1(e13))) ),[0],$fot(op2(e20,op2(e20,e20)))]]) ).
cnf(refute_12_431,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| h1(e11) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),op2(e20,h1(e13))) )],[refute_12_429,refute_12_430]) ).
cnf(refute_12_432,plain,
h1(e11) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_12_15,refute_12_431]) ).
cnf(refute_12_433,plain,
( h1(e11) != op2(e20,h1(e13))
| op2(e20,h1(e13)) = h1(e11) ),
inference(subst,[],[refute_12_6:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,h1(e13))))]]) ).
cnf(refute_12_434,plain,
op2(e20,h1(e13)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,h1(e13))) )],[refute_12_432,refute_12_433]) ).
cnf(refute_12_435,plain,
op2(e20,h4(e10)) = op2(e20,h4(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e10)))]]) ).
cnf(refute_12_436,plain,
( h4(e10) != h1(e13)
| op2(e20,h4(e10)) != op2(e20,h4(e10))
| op2(e20,h4(e10)) = op2(e20,h1(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) ),[1,1],$fot(h1(e13))]]) ).
cnf(refute_12_437,plain,
( h4(e10) != h1(e13)
| op2(e20,h4(e10)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h4(e10))) )],[refute_12_435,refute_12_436]) ).
cnf(refute_12_438,plain,
op2(e20,h4(e10)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_12_264,refute_12_437]) ).
cnf(refute_12_439,plain,
op2(h4(e13),h4(e10)) = op2(h4(e13),h4(e10)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e10)))]]) ).
cnf(refute_12_440,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e10)) != op2(h4(e13),h4(e10))
| op2(h4(e13),h4(e10)) = op2(e20,h4(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_12_441,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e10)) = op2(e20,h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(h4(e13),h4(e10))) )],[refute_12_439,refute_12_440]) ).
cnf(refute_12_442,plain,
op2(h4(e13),h4(e10)) = op2(e20,h4(e10)),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_12_74,refute_12_441]) ).
cnf(refute_12_443,plain,
( op2(e20,h4(e10)) != op2(e20,h1(e13))
| op2(h4(e13),h4(e10)) != op2(e20,h4(e10))
| op2(h4(e13),h4(e10)) = op2(e20,h1(e13)) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e20,h4(e10)))),bind(Z,$fot(op2(e20,h1(e13))))]]) ).
cnf(refute_12_444,plain,
( op2(e20,h4(e10)) != op2(e20,h1(e13))
| op2(h4(e13),h4(e10)) = op2(e20,h1(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e20,h4(e10))) )],[refute_12_442,refute_12_443]) ).
cnf(refute_12_445,plain,
op2(h4(e13),h4(e10)) = op2(e20,h1(e13)),
inference(resolve,[$cnf( $equal(op2(e20,h4(e10)),op2(e20,h1(e13))) )],[refute_12_438,refute_12_444]) ).
cnf(refute_12_446,plain,
( op2(e20,h1(e13)) != h1(e11)
| op2(h4(e13),h4(e10)) != op2(e20,h1(e13))
| op2(h4(e13),h4(e10)) = h1(e11) ),
inference(subst,[],[refute_12_55:[bind(X,$fot(op2(h4(e13),h4(e10)))),bind(Y,$fot(op2(e20,h1(e13)))),bind(Z,$fot(h1(e11)))]]) ).
cnf(refute_12_447,plain,
( op2(e20,h1(e13)) != h1(e11)
| op2(h4(e13),h4(e10)) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),op2(e20,h1(e13))) )],[refute_12_445,refute_12_446]) ).
cnf(refute_12_448,plain,
op2(h4(e13),h4(e10)) = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,h1(e13)),h1(e11)) )],[refute_12_434,refute_12_447]) ).
cnf(refute_12_449,plain,
( h1(e11) != h1(e11)
| op2(h4(e13),h4(e10)) != h1(e11)
| h1(e11) = op2(h4(e13),h4(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e11),op2(h4(e13),h4(e10))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_12_450,plain,
( h1(e11) != h1(e11)
| h1(e11) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e10)),h1(e11)) )],[refute_12_448,refute_12_449]) ).
cnf(refute_12_451,plain,
( h1(e11) != h1(e11)
| h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
inference(resolve,[$cnf( $equal(h1(e11),op2(h4(e13),h4(e10))) )],[refute_12_450,refute_12_425]) ).
cnf(refute_12_452,plain,
h1(e11) != h1(e11),
inference(resolve,[$cnf( $equal(h4(op1(e13,e10)),op2(h4(e13),h4(e10))) )],[refute_12_451,refute_12_0]) ).
cnf(refute_12_453,plain,
h1(e11) = h1(e11),
introduced(tautology,[refl,[$fot(h1(e11))]]) ).
cnf(refute_12_454,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e11),h1(e11)) )],[refute_12_453,refute_12_452]) ).
fof(negate_13_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) )
=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(negate,[],[subgoal_13]) ).
fof(normalize_13_0,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_13_0]) ).
fof(normalize_13_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_13_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_13_1]) ).
fof(normalize_13_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_13_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_13_3]) ).
fof(normalize_13_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_13_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_13_5]) ).
fof(normalize_13_7,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_13_0,normalize_13_2,normalize_13_4,normalize_13_6]) ).
fof(normalize_13_8,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_9,plain,
( 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_10,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_13_9]) ).
fof(normalize_13_11,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_13_9]) ).
fof(normalize_13_12,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_13_13,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_13_12]) ).
fof(normalize_13_14,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_13_9]) ).
fof(normalize_13_15,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_13_9]) ).
fof(normalize_13_16,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_13_12]) ).
fof(normalize_13_17,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_13_12]) ).
fof(normalize_13_18,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(conjunct,[],[normalize_13_7]) ).
fof(normalize_13_19,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_20,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_21,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_13_1]) ).
fof(normalize_13_22,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_23,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_13_3]) ).
fof(normalize_13_24,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_25,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_13_26,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_27,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_28,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_29,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_30,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_31,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_13_32,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_33,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_13_25]) ).
fof(normalize_13_34,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_35,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_13_31]) ).
fof(normalize_13_36,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_37,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_38,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_39,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_40,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_41,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_13_19]) ).
fof(normalize_13_42,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_13_31]) ).
cnf(refute_13_0,plain,
h4(op1(e13,e11)) != op2(h4(e13),h4(e11)),
inference(canonicalize,[],[normalize_13_8]) ).
cnf(refute_13_1,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_13_10]) ).
cnf(refute_13_2,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_13_11]) ).
cnf(refute_13_3,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_13_13]) ).
cnf(refute_13_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_13_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_13_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_13_4,refute_13_5]) ).
cnf(refute_13_7,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_13_8,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_13_3,refute_13_7]) ).
cnf(refute_13_9,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_13_10,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_13_11,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_13_9,refute_13_10]) ).
cnf(refute_13_12,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_8,refute_13_11]) ).
cnf(refute_13_13,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_13_14,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_13_12,refute_13_13]) ).
cnf(refute_13_15,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_13_2,refute_13_14]) ).
cnf(refute_13_16,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_13_14]) ).
cnf(refute_13_17,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_13_15]) ).
cnf(refute_13_18,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_13_19,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_13_20,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_13_18,refute_13_19]) ).
cnf(refute_13_21,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_8,refute_13_20]) ).
cnf(refute_13_22,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_13_23,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_13_21,refute_13_22]) ).
cnf(refute_13_24,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_13_16]) ).
cnf(refute_13_25,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_13_26,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_13_24,refute_13_25]) ).
cnf(refute_13_27,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_13_28,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_13_26,refute_13_27]) ).
cnf(refute_13_29,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_13_23,refute_13_28]) ).
cnf(refute_13_30,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_13_17,refute_13_29]) ).
cnf(refute_13_31,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_13_32,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_13_33,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_13_31,refute_13_32]) ).
cnf(refute_13_34,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_13_30,refute_13_33]) ).
cnf(refute_13_35,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_13_36,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_13_34,refute_13_35]) ).
cnf(refute_13_37,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_13_38,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_13_39,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_13_37,refute_13_38]) ).
cnf(refute_13_40,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_13_8,refute_13_39]) ).
cnf(refute_13_41,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_13_42,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_13_40,refute_13_41]) ).
cnf(refute_13_43,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_13_36,refute_13_42]) ).
cnf(refute_13_44,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_13_16,refute_13_43]) ).
cnf(refute_13_45,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_13_46,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_13_44,refute_13_45]) ).
cnf(refute_13_47,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_13_48,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_13_49,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_13_47,refute_13_48]) ).
cnf(refute_13_50,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_13_46,refute_13_49]) ).
cnf(refute_13_51,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_13_52,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_13_6,refute_13_51]) ).
cnf(refute_13_53,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_13_54,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_13_50,refute_13_53]) ).
cnf(refute_13_55,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_13_15,refute_13_54]) ).
cnf(refute_13_56,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_13_57,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_13_55,refute_13_56]) ).
cnf(refute_13_58,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_13_59,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_13_60,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_13_58,refute_13_59]) ).
cnf(refute_13_61,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_13_30,refute_13_60]) ).
cnf(refute_13_62,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_13_63,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_13_61,refute_13_62]) ).
cnf(refute_13_64,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_13_57,refute_13_63]) ).
cnf(refute_13_65,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_13_1,refute_13_64]) ).
cnf(refute_13_66,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_13_17]) ).
cnf(refute_13_67,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_13_68,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_13_69,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_13_67,refute_13_68]) ).
cnf(refute_13_70,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_13_26,refute_13_69]) ).
cnf(refute_13_71,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_13_72,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_13_70,refute_13_71]) ).
cnf(refute_13_73,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_13_66,refute_13_72]) ).
cnf(refute_13_74,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_13_75,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_13_73,refute_13_74]) ).
cnf(refute_13_76,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_13_77,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_13_78,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_13_76,refute_13_77]) ).
cnf(refute_13_79,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_13_75,refute_13_78]) ).
cnf(refute_13_80,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_13_81,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_13_79,refute_13_80]) ).
cnf(refute_13_82,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_13_15,refute_13_81]) ).
cnf(refute_13_83,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_13_84,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_13_82,refute_13_83]) ).
cnf(refute_13_85,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_13_86,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_13_84,refute_13_85]) ).
cnf(refute_13_87,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_13_65,refute_13_86]) ).
cnf(refute_13_88,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_13_89,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_13_87,refute_13_88]) ).
cnf(refute_13_90,plain,
h4(op1(e13,e11)) = h4(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e11)))]]) ).
cnf(refute_13_91,plain,
( h4(op1(e13,e11)) != h4(op1(e13,e11))
| op1(e13,e11) != op1(e10,e12)
| h4(op1(e13,e11)) = h4(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_13_92,plain,
( op1(e13,e11) != op1(e10,e12)
| h4(op1(e13,e11)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e13,e11))) )],[refute_13_90,refute_13_91]) ).
cnf(refute_13_93,plain,
h4(op1(e13,e11)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_13_89,refute_13_92]) ).
cnf(refute_13_94,plain,
( h4(op1(e10,e12)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) != h4(op1(e10,e12))
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e10,e12))) ),[1],$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_95,plain,
( h4(op1(e10,e12)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),h4(op1(e10,e12))) )],[refute_13_93,refute_13_94]) ).
cnf(refute_13_96,plain,
h4(op1(e10,e12)) = op2(h4(e10),h4(e12)),
inference(canonicalize,[],[normalize_13_18]) ).
cnf(refute_13_97,plain,
op2(op2(e20,e20),e23) = op2(e20,op2(e20,e23)),
inference(canonicalize,[],[normalize_13_20]) ).
cnf(refute_13_98,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_13_21]) ).
cnf(refute_13_99,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_13_100,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_13_98,refute_13_99]) ).
cnf(refute_13_101,plain,
op2(op2(e20,e20),e23) = op2(op2(e20,e20),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e23))]]) ).
cnf(refute_13_102,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) != op2(op2(e20,e20),e23)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_13_103,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e23) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(op2(e20,e20),e23)) )],[refute_13_101,refute_13_102]) ).
cnf(refute_13_104,plain,
op2(op2(e20,e20),e23) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_100,refute_13_103]) ).
cnf(refute_13_105,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(op2(e20,e20),e23) != op2(h1(e13),e23)
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) ),[0],$fot(op2(h1(e13),e23))]]) ).
cnf(refute_13_106,plain,
( op2(op2(e20,e20),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,op2(e20,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(h1(e13),e23)) )],[refute_13_104,refute_13_105]) ).
cnf(refute_13_107,plain,
op2(h1(e13),e23) = op2(e20,op2(e20,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e23),op2(e20,op2(e20,e23))) )],[refute_13_97,refute_13_106]) ).
cnf(refute_13_108,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_13_22]) ).
cnf(refute_13_109,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_13_23]) ).
cnf(refute_13_110,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_13_111,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_13_109,refute_13_110]) ).
cnf(refute_13_112,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_13_24]) ).
cnf(refute_13_113,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_13_26]) ).
cnf(refute_13_114,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_13_115,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_13_113,refute_13_114]) ).
cnf(refute_13_116,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_13_117,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_13_118,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_13_116,refute_13_117]) ).
cnf(refute_13_119,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_115,refute_13_118]) ).
cnf(refute_13_120,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_13_121,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_13_119,refute_13_120]) ).
cnf(refute_13_122,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_13_27]) ).
cnf(refute_13_123,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_13_124,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_13_122,refute_13_123]) ).
cnf(refute_13_125,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_13_126,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_13_124,refute_13_125]) ).
cnf(refute_13_127,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_13_121,refute_13_126]) ).
cnf(refute_13_128,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_13_112,refute_13_127]) ).
cnf(refute_13_129,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_13_130,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_131,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_13_129,refute_13_130]) ).
cnf(refute_13_132,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_13_128,refute_13_131]) ).
cnf(refute_13_133,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_13_134,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_13_132,refute_13_133]) ).
cnf(refute_13_135,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_111,refute_13_134]) ).
cnf(refute_13_136,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_13_137,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_13_135,refute_13_136]) ).
cnf(refute_13_138,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_13_108,refute_13_137]) ).
cnf(refute_13_139,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_13_28]) ).
cnf(refute_13_140,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_13_141,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_142,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_13_140,refute_13_141]) ).
cnf(refute_13_143,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_115,refute_13_142]) ).
cnf(refute_13_144,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_13_145,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_13_143,refute_13_144]) ).
cnf(refute_13_146,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_13_139,refute_13_145]) ).
cnf(refute_13_147,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_13_29]) ).
cnf(refute_13_148,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_13_149,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_150,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_13_148,refute_13_149]) ).
cnf(refute_13_151,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_115,refute_13_150]) ).
cnf(refute_13_152,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_13_153,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_13_151,refute_13_152]) ).
cnf(refute_13_154,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_13_147,refute_13_153]) ).
cnf(refute_13_155,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_13_30]) ).
cnf(refute_13_156,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_13_157,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_158,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_13_156,refute_13_157]) ).
cnf(refute_13_159,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_13_128,refute_13_158]) ).
cnf(refute_13_160,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_13_161,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_13_159,refute_13_160]) ).
cnf(refute_13_162,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_13_32]) ).
cnf(refute_13_163,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_13_164,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_13_162,refute_13_163]) ).
cnf(refute_13_165,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_13_166,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_167,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_13_165,refute_13_166]) ).
cnf(refute_13_168,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_13_115,refute_13_167]) ).
cnf(refute_13_169,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_13_170,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_13_168,refute_13_169]) ).
cnf(refute_13_171,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_164,refute_13_170]) ).
cnf(refute_13_172,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_13_173,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_13_171,refute_13_172]) ).
cnf(refute_13_174,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_13_161,refute_13_173]) ).
cnf(refute_13_175,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_13_155,refute_13_174]) ).
cnf(refute_13_176,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_13_177,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_13_178,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_13_176,refute_13_177]) ).
cnf(refute_13_179,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_13_175,refute_13_178]) ).
cnf(refute_13_180,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_13_181,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_13_179,refute_13_180]) ).
cnf(refute_13_182,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_13_154,refute_13_181]) ).
cnf(refute_13_183,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_13_33]) ).
cnf(refute_13_184,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_13_185,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_13_186,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_13_184,refute_13_185]) ).
cnf(refute_13_187,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_13_124,refute_13_186]) ).
cnf(refute_13_188,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_13_189,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_13_187,refute_13_188]) ).
cnf(refute_13_190,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_13_175,refute_13_189]) ).
cnf(refute_13_191,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_13_192,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_13_190,refute_13_191]) ).
cnf(refute_13_193,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_13_183,refute_13_192]) ).
cnf(refute_13_194,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_13_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_13_195,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_13_193,refute_13_194]) ).
cnf(refute_13_196,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_13_197,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_198,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_13_196,refute_13_197]) ).
cnf(refute_13_199,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_195,refute_13_198]) ).
cnf(refute_13_200,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_13_201,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_13_199,refute_13_200]) ).
cnf(refute_13_202,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_13_182,refute_13_201]) ).
cnf(refute_13_203,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_13_204,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_13_202,refute_13_203]) ).
cnf(refute_13_205,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_13_206,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_13_207,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_13_205,refute_13_206]) ).
cnf(refute_13_208,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_13_204,refute_13_207]) ).
cnf(refute_13_209,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_13_210,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_13_208,refute_13_209]) ).
cnf(refute_13_211,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_13_146,refute_13_210]) ).
cnf(refute_13_212,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_13_213,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_13_211,refute_13_212]) ).
cnf(refute_13_214,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_13_138,refute_13_213]) ).
cnf(refute_13_215,plain,
op2(e20,op2(e20,e23)) = op2(e20,op2(e20,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e23)))]]) ).
cnf(refute_13_216,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) != op2(e20,op2(e20,e23))
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_13_217,plain,
( op2(e20,e23) != h2(e13)
| op2(e20,op2(e20,e23)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,op2(e20,e23))) )],[refute_13_215,refute_13_216]) ).
cnf(refute_13_218,plain,
op2(e20,op2(e20,e23)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_13_214,refute_13_217]) ).
cnf(refute_13_219,plain,
( op2(e20,op2(e20,e23)) != op2(e20,h2(e13))
| op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) ),[1],$fot(op2(e20,h2(e13)))]]) ).
cnf(refute_13_220,plain,
( op2(h1(e13),e23) != op2(e20,op2(e20,e23))
| op2(h1(e13),e23) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e23)),op2(e20,h2(e13))) )],[refute_13_218,refute_13_219]) ).
cnf(refute_13_221,plain,
op2(h1(e13),e23) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,op2(e20,e23))) )],[refute_13_107,refute_13_220]) ).
cnf(refute_13_222,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_13_34]) ).
cnf(refute_13_223,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h1(e13),h4(e12)))]]) ).
cnf(refute_13_224,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_13_225,plain,
( h4(e12) != e23
| op2(h1(e13),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_13_223,refute_13_224]) ).
cnf(refute_13_226,plain,
op2(h1(e13),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_13_222,refute_13_225]) ).
cnf(refute_13_227,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_13_35]) ).
cnf(refute_13_228,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_13_36]) ).
cnf(refute_13_229,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_13_230,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_13_231,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_13_229,refute_13_230]) ).
cnf(refute_13_232,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_111,refute_13_231]) ).
cnf(refute_13_233,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_13_234,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_13_232,refute_13_233]) ).
cnf(refute_13_235,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_13_228,refute_13_234]) ).
cnf(refute_13_236,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_13_37]) ).
cnf(refute_13_237,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_13_38]) ).
cnf(refute_13_238,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_13_239,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_13_240,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_13_238,refute_13_239]) ).
cnf(refute_13_241,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_13_111,refute_13_240]) ).
cnf(refute_13_242,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_13_243,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_13_241,refute_13_242]) ).
cnf(refute_13_244,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_13_237,refute_13_243]) ).
cnf(refute_13_245,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_13_246,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_13_244,refute_13_245]) ).
cnf(refute_13_247,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_13_39]) ).
cnf(refute_13_248,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_13_249,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_13_250,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_13_248,refute_13_249]) ).
cnf(refute_13_251,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_164,refute_13_250]) ).
cnf(refute_13_252,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_13_253,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_13_251,refute_13_252]) ).
cnf(refute_13_254,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_13_182,refute_13_253]) ).
cnf(refute_13_255,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_13_256,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_13_254,refute_13_255]) ).
cnf(refute_13_257,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_13_258,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_13_259,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_13_257,refute_13_258]) ).
cnf(refute_13_260,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_13_128,refute_13_259]) ).
cnf(refute_13_261,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_13_262,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_13_260,refute_13_261]) ).
cnf(refute_13_263,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_13_256,refute_13_262]) ).
cnf(refute_13_264,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_13_247,refute_13_263]) ).
cnf(refute_13_265,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_13_266,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_13_264,refute_13_265]) ).
cnf(refute_13_267,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_13_268,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_13_269,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_13_267,refute_13_268]) ).
cnf(refute_13_270,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_13_266,refute_13_269]) ).
cnf(refute_13_271,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_13_272,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_13_270,refute_13_271]) ).
cnf(refute_13_273,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_13_246,refute_13_272]) ).
cnf(refute_13_274,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_13_275,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_13_273,refute_13_274]) ).
cnf(refute_13_276,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_13_236,refute_13_275]) ).
cnf(refute_13_277,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_13_278,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_13_279,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_13_277,refute_13_278]) ).
cnf(refute_13_280,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_13_266,refute_13_279]) ).
cnf(refute_13_281,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_13_282,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_13_280,refute_13_281]) ).
cnf(refute_13_283,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_13_276,refute_13_282]) ).
cnf(refute_13_284,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_13_285,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_13_283,refute_13_284]) ).
cnf(refute_13_286,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_13_235,refute_13_285]) ).
cnf(refute_13_287,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_40]) ).
cnf(refute_13_288,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_13_289,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_13_290,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_13_288,refute_13_289]) ).
cnf(refute_13_291,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_164,refute_13_290]) ).
cnf(refute_13_292,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_13_293,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_13_291,refute_13_292]) ).
cnf(refute_13_294,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_13_287,refute_13_293]) ).
cnf(refute_13_295,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_13_296,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_13_297,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_13_295,refute_13_296]) ).
cnf(refute_13_298,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_195,refute_13_297]) ).
cnf(refute_13_299,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_13_300,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_13_298,refute_13_299]) ).
cnf(refute_13_301,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_13_100,refute_13_300]) ).
cnf(refute_13_302,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_13_303,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_13_301,refute_13_302]) ).
cnf(refute_13_304,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_13_294,refute_13_303]) ).
cnf(refute_13_305,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_13_306,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_13_307,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_13_305,refute_13_306]) ).
cnf(refute_13_308,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_13_214,refute_13_307]) ).
cnf(refute_13_309,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_13_310,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_13_308,refute_13_309]) ).
cnf(refute_13_311,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_13_286,refute_13_310]) ).
cnf(refute_13_312,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_13_313,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_13_311,refute_13_312]) ).
cnf(refute_13_314,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_13_304,refute_13_313]) ).
cnf(refute_13_315,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_13_316,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_13_314,refute_13_315]) ).
cnf(refute_13_317,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_13_286,refute_13_316]) ).
cnf(refute_13_318,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_41]) ).
cnf(refute_13_319,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_13_320,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_13_321,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_13_319,refute_13_320]) ).
cnf(refute_13_322,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_13_164,refute_13_321]) ).
cnf(refute_13_323,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_13_324,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_13_322,refute_13_323]) ).
cnf(refute_13_325,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_13_42]) ).
cnf(refute_13_326,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_13_327,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_13_325,refute_13_326]) ).
cnf(refute_13_328,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_13_329,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_13_327,refute_13_328]) ).
cnf(refute_13_330,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_13_324,refute_13_329]) ).
cnf(refute_13_331,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_13_318,refute_13_330]) ).
cnf(refute_13_332,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_13_333,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_334,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_13_332,refute_13_333]) ).
cnf(refute_13_335,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_195,refute_13_334]) ).
cnf(refute_13_336,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_13_337,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_13_335,refute_13_336]) ).
cnf(refute_13_338,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_13_214,refute_13_337]) ).
cnf(refute_13_339,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_13_340,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_13_338,refute_13_339]) ).
cnf(refute_13_341,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_13_331,refute_13_340]) ).
cnf(refute_13_342,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_13_343,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_13_341,refute_13_342]) ).
cnf(refute_13_344,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_13_345,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_13_327,refute_13_344]) ).
cnf(refute_13_346,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_343,refute_13_345]) ).
cnf(refute_13_347,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_13_348,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_13_349,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_13_347,refute_13_348]) ).
cnf(refute_13_350,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_13_346,refute_13_349]) ).
cnf(refute_13_351,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_13_352,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_13_350,refute_13_351]) ).
cnf(refute_13_353,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_13_317,refute_13_352]) ).
cnf(refute_13_354,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_13_355,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_13_353,refute_13_354]) ).
cnf(refute_13_356,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_13_227,refute_13_355]) ).
cnf(refute_13_357,plain,
op2(h4(e10),h4(e12)) = op2(h4(e10),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_13_358,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_13_359,plain,
( h4(e10) != h1(e13)
| op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h4(e10),h4(e12))) )],[refute_13_357,refute_13_358]) ).
cnf(refute_13_360,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),h4(e12)),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_13_356,refute_13_359]) ).
cnf(refute_13_361,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) != op2(h1(e13),h4(e12))
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),h4(e12)))),bind(Z,$fot(op2(h1(e13),e23)))]]) ).
cnf(refute_13_362,plain,
( op2(h1(e13),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(h1(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),h4(e12))) )],[refute_13_360,refute_13_361]) ).
cnf(refute_13_363,plain,
op2(h4(e10),h4(e12)) = op2(h1(e13),e23),
inference(resolve,[$cnf( $equal(op2(h1(e13),h4(e12)),op2(h1(e13),e23)) )],[refute_13_226,refute_13_362]) ).
cnf(refute_13_364,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) != op2(h1(e13),e23)
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(h4(e10),h4(e12)))),bind(Y,$fot(op2(h1(e13),e23))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_13_365,plain,
( op2(h1(e13),e23) != op2(e20,h2(e13))
| op2(h4(e10),h4(e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(h1(e13),e23)) )],[refute_13_363,refute_13_364]) ).
cnf(refute_13_366,plain,
op2(h4(e10),h4(e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e23),op2(e20,h2(e13))) )],[refute_13_221,refute_13_365]) ).
cnf(refute_13_367,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(h4(e10),h4(e12)) != op2(e20,h2(e13))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) ),[0],$fot(op2(h4(e10),h4(e12)))]]) ).
cnf(refute_13_368,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e12)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e10),h4(e12)),op2(e20,h2(e13))) )],[refute_13_366,refute_13_367]) ).
cnf(refute_13_369,plain,
h4(op1(e10,e12)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e10),h4(e12))) )],[refute_13_96,refute_13_368]) ).
cnf(refute_13_370,plain,
( h4(op1(e10,e12)) != op2(e20,h2(e13))
| op2(e20,h2(e13)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_13_6:[bind(X,$fot(h4(op1(e10,e12)))),bind(Y,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_13_371,plain,
op2(e20,h2(e13)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(e20,h2(e13))) )],[refute_13_369,refute_13_370]) ).
cnf(refute_13_372,plain,
op2(e20,h4(e11)) = op2(e20,h4(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e11)))]]) ).
cnf(refute_13_373,plain,
( h4(e11) != h2(e13)
| op2(e20,h4(e11)) != op2(e20,h4(e11))
| op2(e20,h4(e11)) = op2(e20,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_13_374,plain,
( h4(e11) != h2(e13)
| op2(e20,h4(e11)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h4(e11))) )],[refute_13_372,refute_13_373]) ).
cnf(refute_13_375,plain,
op2(e20,h4(e11)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_13_343,refute_13_374]) ).
cnf(refute_13_376,plain,
op2(h4(e13),h4(e11)) = op2(h4(e13),h4(e11)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e11)))]]) ).
cnf(refute_13_377,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e11)) != op2(h4(e13),h4(e11))
| op2(h4(e13),h4(e11)) = op2(e20,h4(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_13_378,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e11)) = op2(e20,h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(h4(e13),h4(e11))) )],[refute_13_376,refute_13_377]) ).
cnf(refute_13_379,plain,
op2(h4(e13),h4(e11)) = op2(e20,h4(e11)),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_13_195,refute_13_378]) ).
cnf(refute_13_380,plain,
( op2(e20,h4(e11)) != op2(e20,h2(e13))
| op2(h4(e13),h4(e11)) != op2(e20,h4(e11))
| op2(h4(e13),h4(e11)) = op2(e20,h2(e13)) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e20,h4(e11)))),bind(Z,$fot(op2(e20,h2(e13))))]]) ).
cnf(refute_13_381,plain,
( op2(e20,h4(e11)) != op2(e20,h2(e13))
| op2(h4(e13),h4(e11)) = op2(e20,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e20,h4(e11))) )],[refute_13_379,refute_13_380]) ).
cnf(refute_13_382,plain,
op2(h4(e13),h4(e11)) = op2(e20,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e20,h4(e11)),op2(e20,h2(e13))) )],[refute_13_375,refute_13_381]) ).
cnf(refute_13_383,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(h4(e13),h4(e11)) != op2(e20,h2(e13))
| op2(h4(e13),h4(e11)) = h4(op1(e10,e12)) ),
inference(subst,[],[refute_13_52:[bind(X,$fot(op2(h4(e13),h4(e11)))),bind(Y,$fot(op2(e20,h2(e13)))),bind(Z,$fot(h4(op1(e10,e12))))]]) ).
cnf(refute_13_384,plain,
( op2(e20,h2(e13)) != h4(op1(e10,e12))
| op2(h4(e13),h4(e11)) = h4(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),op2(e20,h2(e13))) )],[refute_13_382,refute_13_383]) ).
cnf(refute_13_385,plain,
op2(h4(e13),h4(e11)) = h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op2(e20,h2(e13)),h4(op1(e10,e12))) )],[refute_13_371,refute_13_384]) ).
cnf(refute_13_386,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| op2(h4(e13),h4(e11)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = op2(h4(e13),h4(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(op1(e10,e12)),op2(h4(e13),h4(e11))) ),[1],$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_13_387,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| h4(op1(e10,e12)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e11)),h4(op1(e10,e12))) )],[refute_13_385,refute_13_386]) ).
cnf(refute_13_388,plain,
( h4(op1(e10,e12)) != h4(op1(e10,e12))
| h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),op2(h4(e13),h4(e11))) )],[refute_13_387,refute_13_95]) ).
cnf(refute_13_389,plain,
h4(op1(e10,e12)) != h4(op1(e10,e12)),
inference(resolve,[$cnf( $equal(h4(op1(e13,e11)),op2(h4(e13),h4(e11))) )],[refute_13_388,refute_13_0]) ).
cnf(refute_13_390,plain,
h4(op1(e10,e12)) = h4(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e10,e12)))]]) ).
cnf(refute_13_391,plain,
$false,
inference(resolve,[$cnf( $equal(h4(op1(e10,e12)),h4(op1(e10,e12))) )],[refute_13_390,refute_13_389]) ).
fof(negate_14_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) )
=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(negate,[],[subgoal_14]) ).
fof(normalize_14_0,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_14_0]) ).
fof(normalize_14_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_14_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_14_1]) ).
fof(normalize_14_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_14_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_14_3]) ).
fof(normalize_14_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_14_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_14_5]) ).
fof(normalize_14_7,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_14_0,normalize_14_2,normalize_14_4,normalize_14_6]) ).
fof(normalize_14_8,plain,
h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
inference(conjunct,[],[normalize_14_7]) ).
fof(normalize_14_9,plain,
( 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_10,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_11,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_14_12,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_13,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_14_11]) ).
fof(normalize_14_14,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_15,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_14_3]) ).
fof(normalize_14_16,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_17,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_14_18,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_14_17]) ).
fof(normalize_14_19,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_14_17]) ).
fof(normalize_14_20,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_21,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_22,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_14_9]) ).
fof(normalize_14_23,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_14_17]) ).
fof(normalize_14_24,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_25,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_14_24]) ).
fof(normalize_14_26,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_14_27,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_14_26]) ).
fof(normalize_14_28,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_14_26]) ).
fof(normalize_14_29,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_14_11]) ).
cnf(refute_14_0,plain,
h4(op1(e13,e12)) != op2(h4(e13),h4(e12)),
inference(canonicalize,[],[normalize_14_8]) ).
cnf(refute_14_1,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_14_10]) ).
cnf(refute_14_2,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_14_12]) ).
cnf(refute_14_3,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_14_4,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_14_5,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_14_3,refute_14_4]) ).
cnf(refute_14_6,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_14_7,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_14_2,refute_14_6]) ).
cnf(refute_14_8,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_14_9,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_14_10,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_14_8,refute_14_9]) ).
cnf(refute_14_11,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_7,refute_14_10]) ).
cnf(refute_14_12,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_14_13,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_14_11,refute_14_12]) ).
cnf(refute_14_14,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_14_13]) ).
cnf(refute_14_15,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_14_16,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_14_14,refute_14_15]) ).
cnf(refute_14_17,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_14_18,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_14_16,refute_14_17]) ).
cnf(refute_14_19,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_14_13,refute_14_18]) ).
cnf(refute_14_20,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_14_1,refute_14_19]) ).
cnf(refute_14_21,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_14_14]) ).
cnf(refute_14_22,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_14_15]) ).
cnf(refute_14_23,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_14_24,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_14_22,refute_14_23]) ).
cnf(refute_14_25,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_16]) ).
cnf(refute_14_26,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_14_18]) ).
cnf(refute_14_27,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_14_28,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_14_26,refute_14_27]) ).
cnf(refute_14_29,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_14_30,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_14_31,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_14_29,refute_14_30]) ).
cnf(refute_14_32,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_28,refute_14_31]) ).
cnf(refute_14_33,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_14_34,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_14_32,refute_14_33]) ).
cnf(refute_14_35,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_19]) ).
cnf(refute_14_36,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_14_37,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_14_35,refute_14_36]) ).
cnf(refute_14_38,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_14_39,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_14_37,refute_14_38]) ).
cnf(refute_14_40,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_14_34,refute_14_39]) ).
cnf(refute_14_41,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_14_25,refute_14_40]) ).
cnf(refute_14_42,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_14_43,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_14_44,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_14_42,refute_14_43]) ).
cnf(refute_14_45,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_14_41,refute_14_44]) ).
cnf(refute_14_46,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_14_47,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_14_5,refute_14_46]) ).
cnf(refute_14_48,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_14_49,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_14_45,refute_14_48]) ).
cnf(refute_14_50,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_14_24,refute_14_49]) ).
cnf(refute_14_51,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_14_52,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_14_50,refute_14_51]) ).
cnf(refute_14_53,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_14_21,refute_14_52]) ).
cnf(refute_14_54,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_20]) ).
cnf(refute_14_55,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_14_56,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_57,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_14_55,refute_14_56]) ).
cnf(refute_14_58,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_28,refute_14_57]) ).
cnf(refute_14_59,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_14_60,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_14_58,refute_14_59]) ).
cnf(refute_14_61,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_14_54,refute_14_60]) ).
cnf(refute_14_62,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_21]) ).
cnf(refute_14_63,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_14_64,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_65,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_14_63,refute_14_64]) ).
cnf(refute_14_66,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_28,refute_14_65]) ).
cnf(refute_14_67,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_14_68,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_14_66,refute_14_67]) ).
cnf(refute_14_69,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_14_62,refute_14_68]) ).
cnf(refute_14_70,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_14_22]) ).
cnf(refute_14_71,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_14_72,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_14_73,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_14_71,refute_14_72]) ).
cnf(refute_14_74,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_14_41,refute_14_73]) ).
cnf(refute_14_75,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_14_76,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_14_74,refute_14_75]) ).
cnf(refute_14_77,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_14_78,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_79,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_14_77,refute_14_78]) ).
cnf(refute_14_80,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_14_28,refute_14_79]) ).
cnf(refute_14_81,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_14_82,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_14_80,refute_14_81]) ).
cnf(refute_14_83,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_14_7,refute_14_82]) ).
cnf(refute_14_84,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_14_85,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_14_83,refute_14_84]) ).
cnf(refute_14_86,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_14_76,refute_14_85]) ).
cnf(refute_14_87,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_14_70,refute_14_86]) ).
cnf(refute_14_88,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_14_89,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_14_90,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_14_88,refute_14_89]) ).
cnf(refute_14_91,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_14_87,refute_14_90]) ).
cnf(refute_14_92,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_14_93,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_14_91,refute_14_92]) ).
cnf(refute_14_94,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_14_69,refute_14_93]) ).
cnf(refute_14_95,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_14_23]) ).
cnf(refute_14_96,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_14_97,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_14_98,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_14_96,refute_14_97]) ).
cnf(refute_14_99,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_14_37,refute_14_98]) ).
cnf(refute_14_100,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_14_101,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_14_99,refute_14_100]) ).
cnf(refute_14_102,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_14_87,refute_14_101]) ).
cnf(refute_14_103,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_14_104,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_14_102,refute_14_103]) ).
cnf(refute_14_105,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_14_95,refute_14_104]) ).
cnf(refute_14_106,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_14_107,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_14_105,refute_14_106]) ).
cnf(refute_14_108,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_14_109,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_110,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_14_108,refute_14_109]) ).
cnf(refute_14_111,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_14_107,refute_14_110]) ).
cnf(refute_14_112,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_14_113,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_14_111,refute_14_112]) ).
cnf(refute_14_114,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_14_94,refute_14_113]) ).
cnf(refute_14_115,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_14_116,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_14_114,refute_14_115]) ).
cnf(refute_14_117,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_14_118,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_14_119,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_14_117,refute_14_118]) ).
cnf(refute_14_120,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_14_116,refute_14_119]) ).
cnf(refute_14_121,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_122,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_14_120,refute_14_121]) ).
cnf(refute_14_123,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_14_61,refute_14_122]) ).
cnf(refute_14_124,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_14_125,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_14_123,refute_14_124]) ).
cnf(refute_14_126,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_14_53,refute_14_125]) ).
cnf(refute_14_127,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_14_128,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_129,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_14_127,refute_14_128]) ).
cnf(refute_14_130,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_14_107,refute_14_129]) ).
cnf(refute_14_131,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_14_132,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_14_130,refute_14_131]) ).
cnf(refute_14_133,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_14_126,refute_14_132]) ).
cnf(refute_14_134,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_14_135,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_14_133,refute_14_134]) ).
cnf(refute_14_136,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_14_20,refute_14_135]) ).
cnf(refute_14_137,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_14_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_14_138,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_14_136,refute_14_137]) ).
cnf(refute_14_139,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_14_25]) ).
cnf(refute_14_140,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_14_27]) ).
cnf(refute_14_141,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_14_142,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_14_140,refute_14_141]) ).
cnf(refute_14_143,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_14_144,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_14_145,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_14_143,refute_14_144]) ).
cnf(refute_14_146,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_14_142,refute_14_145]) ).
cnf(refute_14_147,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_14_148,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_14_146,refute_14_147]) ).
cnf(refute_14_149,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_14_28]) ).
cnf(refute_14_150,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_14_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_14_151,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_14_149,refute_14_150]) ).
cnf(refute_14_152,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_14_153,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_14_151,refute_14_152]) ).
cnf(refute_14_154,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_14_148,refute_14_153]) ).
cnf(refute_14_155,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_14_139,refute_14_154]) ).
cnf(refute_14_156,plain,
h4(op1(e13,e12)) = h4(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e12)))]]) ).
cnf(refute_14_157,plain,
( h4(op1(e13,e12)) != h4(op1(e13,e12))
| op1(e13,e12) != e11
| h4(op1(e13,e12)) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_14_158,plain,
( op1(e13,e12) != e11
| h4(op1(e13,e12)) = h4(e11) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(op1(e13,e12))) )],[refute_14_156,refute_14_157]) ).
cnf(refute_14_159,plain,
h4(op1(e13,e12)) = h4(e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_14_155,refute_14_158]) ).
cnf(refute_14_160,plain,
( h4(e11) != h2(e13)
| h4(op1(e13,e12)) != h4(e11)
| h4(op1(e13,e12)) = h2(e13) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(h4(op1(e13,e12)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_14_161,plain,
( h4(e11) != h2(e13)
| h4(op1(e13,e12)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h4(e11)) )],[refute_14_159,refute_14_160]) ).
cnf(refute_14_162,plain,
h4(op1(e13,e12)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_14_138,refute_14_161]) ).
cnf(refute_14_163,plain,
( h2(e13) != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) != h2(e13)
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e12)),h2(e13)) ),[1],$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_164,plain,
( h2(e13) != op2(h4(e13),h4(e12))
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),h2(e13)) )],[refute_14_162,refute_14_163]) ).
cnf(refute_14_165,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_14_29]) ).
cnf(refute_14_166,plain,
op2(e20,h4(e12)) = op2(e20,h4(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e12)))]]) ).
cnf(refute_14_167,plain,
( h4(e12) != e23
| op2(e20,h4(e12)) != op2(e20,h4(e12))
| op2(e20,h4(e12)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_14_168,plain,
( h4(e12) != e23
| op2(e20,h4(e12)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,h4(e12))) )],[refute_14_166,refute_14_167]) ).
cnf(refute_14_169,plain,
op2(e20,h4(e12)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_14_165,refute_14_168]) ).
cnf(refute_14_170,plain,
op2(h4(e13),h4(e12)) = op2(h4(e13),h4(e12)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e12)))]]) ).
cnf(refute_14_171,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e12)) != op2(h4(e13),h4(e12))
| op2(h4(e13),h4(e12)) = op2(e20,h4(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_14_172,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e12)) = op2(e20,h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(h4(e13),h4(e12))) )],[refute_14_170,refute_14_171]) ).
cnf(refute_14_173,plain,
op2(h4(e13),h4(e12)) = op2(e20,h4(e12)),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_14_107,refute_14_172]) ).
cnf(refute_14_174,plain,
( op2(e20,h4(e12)) != op2(e20,e23)
| op2(h4(e13),h4(e12)) != op2(e20,h4(e12))
| op2(h4(e13),h4(e12)) = op2(e20,e23) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e20,h4(e12)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_14_175,plain,
( op2(e20,h4(e12)) != op2(e20,e23)
| op2(h4(e13),h4(e12)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e20,h4(e12))) )],[refute_14_173,refute_14_174]) ).
cnf(refute_14_176,plain,
op2(h4(e13),h4(e12)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e20,h4(e12)),op2(e20,e23)) )],[refute_14_169,refute_14_175]) ).
cnf(refute_14_177,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),h4(e12)) != op2(e20,e23)
| op2(h4(e13),h4(e12)) = h2(e13) ),
inference(subst,[],[refute_14_47:[bind(X,$fot(op2(h4(e13),h4(e12)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_14_178,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),h4(e12)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),op2(e20,e23)) )],[refute_14_176,refute_14_177]) ).
cnf(refute_14_179,plain,
op2(h4(e13),h4(e12)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_14_126,refute_14_178]) ).
cnf(refute_14_180,plain,
( h2(e13) != h2(e13)
| op2(h4(e13),h4(e12)) != h2(e13)
| h2(e13) = op2(h4(e13),h4(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h4(e13),h4(e12))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_14_181,plain,
( h2(e13) != h2(e13)
| h2(e13) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e12)),h2(e13)) )],[refute_14_179,refute_14_180]) ).
cnf(refute_14_182,plain,
( h2(e13) != h2(e13)
| h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h4(e13),h4(e12))) )],[refute_14_181,refute_14_164]) ).
cnf(refute_14_183,plain,
h2(e13) != h2(e13),
inference(resolve,[$cnf( $equal(h4(op1(e13,e12)),op2(h4(e13),h4(e12))) )],[refute_14_182,refute_14_0]) ).
cnf(refute_14_184,plain,
h2(e13) = h2(e13),
introduced(tautology,[refl,[$fot(h2(e13))]]) ).
cnf(refute_14_185,plain,
$false,
inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_14_184,refute_14_183]) ).
fof(negate_15_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) )
=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(negate,[],[subgoal_15]) ).
fof(normalize_15_0,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_15_0]) ).
fof(normalize_15_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_15_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_15_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_15_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_15_5]) ).
fof(normalize_15_7,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_15_0,normalize_15_2,normalize_15_4,normalize_15_6]) ).
fof(normalize_15_8,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(conjunct,[],[normalize_15_7]) ).
fof(normalize_15_9,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_15_10,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_11,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_15_12,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_13,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_15_3]) ).
fof(normalize_15_14,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_15,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_16,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_17,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_18,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_15_19,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_15_18]) ).
fof(normalize_15_20,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_21,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_22,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_15_18]) ).
fof(normalize_15_23,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_24,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_25,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_15_1]) ).
fof(normalize_15_26,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_15_18]) ).
fof(normalize_15_27,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_28,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_29,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_15_11]) ).
fof(normalize_15_30,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_15_9]) ).
fof(normalize_15_31,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_15_32,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_15_31]) ).
fof(normalize_15_33,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_15_31]) ).
fof(normalize_15_34,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_15_35,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_15_34]) ).
fof(normalize_15_36,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_15_34]) ).
fof(normalize_15_37,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_15_34]) ).
cnf(refute_15_0,plain,
h4(op1(e13,e13)) != op2(h4(e13),h4(e13)),
inference(canonicalize,[],[normalize_15_8]) ).
cnf(refute_15_1,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_15_10]) ).
cnf(refute_15_2,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_15_12]) ).
cnf(refute_15_3,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_15_13]) ).
cnf(refute_15_4,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_15_5,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_15_6,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_15_4,refute_15_5]) ).
cnf(refute_15_7,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_15_8,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_15_3,refute_15_7]) ).
cnf(refute_15_9,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_15_10,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_15_11,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_15_9,refute_15_10]) ).
cnf(refute_15_12,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_15_8,refute_15_11]) ).
cnf(refute_15_13,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_15_14,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_15_12,refute_15_13]) ).
cnf(refute_15_15,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_15_2,refute_15_14]) ).
cnf(refute_15_16,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_15_14]) ).
cnf(refute_15_17,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_15_15]) ).
cnf(refute_15_18,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_15_19,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_15_20,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_15_18,refute_15_19]) ).
cnf(refute_15_21,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_15_8,refute_15_20]) ).
cnf(refute_15_22,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_15_23,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_15_21,refute_15_22]) ).
cnf(refute_15_24,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_15_17,refute_15_23]) ).
cnf(refute_15_25,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_15_26,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_15_24,refute_15_25]) ).
cnf(refute_15_27,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_15_16]) ).
cnf(refute_15_28,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_15_17]) ).
cnf(refute_15_29,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_15_19]) ).
cnf(refute_15_30,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_15_6:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_15_31,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_15_29,refute_15_30]) ).
cnf(refute_15_32,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_15_33,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_15_34,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_15_32,refute_15_33]) ).
cnf(refute_15_35,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_31,refute_15_34]) ).
cnf(refute_15_36,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_15_37,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_15_35,refute_15_36]) ).
cnf(refute_15_38,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_15_28,refute_15_37]) ).
cnf(refute_15_39,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_15_20]) ).
cnf(refute_15_40,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_15_21]) ).
cnf(refute_15_41,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_15_42,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_15_43,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_15_41,refute_15_42]) ).
cnf(refute_15_44,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_31,refute_15_43]) ).
cnf(refute_15_45,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_15_46,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_15_44,refute_15_45]) ).
cnf(refute_15_47,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_15_22]) ).
cnf(refute_15_48,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_15_6:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_15_49,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_15_47,refute_15_48]) ).
cnf(refute_15_50,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_15_51,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_15_49,refute_15_50]) ).
cnf(refute_15_52,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_15_46,refute_15_51]) ).
cnf(refute_15_53,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_15_40,refute_15_52]) ).
cnf(refute_15_54,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_15_55,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_15_56,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_15_54,refute_15_55]) ).
cnf(refute_15_57,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_15_53,refute_15_56]) ).
cnf(refute_15_58,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_15_59,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_15_57,refute_15_58]) ).
cnf(refute_15_60,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_15_23]) ).
cnf(refute_15_61,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_15_62,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_15_60,refute_15_61]) ).
cnf(refute_15_63,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_15_64,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_15_65,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_15_63,refute_15_64]) ).
cnf(refute_15_66,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_31,refute_15_65]) ).
cnf(refute_15_67,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_15_68,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_15_6,refute_15_67]) ).
cnf(refute_15_69,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_15_70,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_15_66,refute_15_69]) ).
cnf(refute_15_71,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_62,refute_15_70]) ).
cnf(refute_15_72,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_15_73,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_15_71,refute_15_72]) ).
cnf(refute_15_74,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_15_59,refute_15_73]) ).
cnf(refute_15_75,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_15_39,refute_15_74]) ).
cnf(refute_15_76,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_15_77,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_15_78,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_15_76,refute_15_77]) ).
cnf(refute_15_79,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_15_75,refute_15_78]) ).
cnf(refute_15_80,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_15_81,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_15_79,refute_15_80]) ).
cnf(refute_15_82,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_15_38,refute_15_81]) ).
cnf(refute_15_83,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_15_84,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_15_85,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_15_83,refute_15_84]) ).
cnf(refute_15_86,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_62,refute_15_85]) ).
cnf(refute_15_87,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_15_88,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_15_86,refute_15_87]) ).
cnf(refute_15_89,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_15_82,refute_15_88]) ).
cnf(refute_15_90,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_15_91,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_15_89,refute_15_90]) ).
cnf(refute_15_92,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_15_93,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_15_94,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_15_92,refute_15_93]) ).
cnf(refute_15_95,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_15_53,refute_15_94]) ).
cnf(refute_15_96,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_15_97,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_15_95,refute_15_96]) ).
cnf(refute_15_98,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_15_91,refute_15_97]) ).
cnf(refute_15_99,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_15_27,refute_15_98]) ).
cnf(refute_15_100,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_15_101,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_15_99,refute_15_100]) ).
cnf(refute_15_102,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_15_103,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_15_104,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_15_102,refute_15_103]) ).
cnf(refute_15_105,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_15_101,refute_15_104]) ).
cnf(refute_15_106,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_15_107,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_15_105,refute_15_106]) ).
cnf(refute_15_108,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_15_26,refute_15_107]) ).
cnf(refute_15_109,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_15_110,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_15_108,refute_15_109]) ).
cnf(refute_15_111,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_15_16,refute_15_110]) ).
cnf(refute_15_112,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_15_113,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_15_114,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_15_112,refute_15_113]) ).
cnf(refute_15_115,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_15_101,refute_15_114]) ).
cnf(refute_15_116,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_15_117,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_15_115,refute_15_116]) ).
cnf(refute_15_118,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_15_111,refute_15_117]) ).
cnf(refute_15_119,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_15_120,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_15_118,refute_15_119]) ).
cnf(refute_15_121,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_15_15,refute_15_120]) ).
cnf(refute_15_122,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_15_24]) ).
cnf(refute_15_123,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_15_124,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_15_125,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_15_123,refute_15_124]) ).
cnf(refute_15_126,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_62,refute_15_125]) ).
cnf(refute_15_127,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_15_128,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_15_126,refute_15_127]) ).
cnf(refute_15_129,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_15_122,refute_15_128]) ).
cnf(refute_15_130,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_15_25]) ).
cnf(refute_15_131,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_15_132,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_15_130,refute_15_131]) ).
cnf(refute_15_133,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_15_26]) ).
cnf(refute_15_134,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_15_135,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_15_136,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_15_134,refute_15_135]) ).
cnf(refute_15_137,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_15_49,refute_15_136]) ).
cnf(refute_15_138,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_15_139,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_15_137,refute_15_138]) ).
cnf(refute_15_140,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_15_75,refute_15_139]) ).
cnf(refute_15_141,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_15_142,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_15_140,refute_15_141]) ).
cnf(refute_15_143,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_15_133,refute_15_142]) ).
cnf(refute_15_144,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_15_6:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_15_145,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_15_143,refute_15_144]) ).
cnf(refute_15_146,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_15_147,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_15_148,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_15_146,refute_15_147]) ).
cnf(refute_15_149,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_15_145,refute_15_148]) ).
cnf(refute_15_150,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_15_151,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_15_149,refute_15_150]) ).
cnf(refute_15_152,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_15_132,refute_15_151]) ).
cnf(refute_15_153,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_15_154,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_15_152,refute_15_153]) ).
cnf(refute_15_155,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_15_129,refute_15_154]) ).
cnf(refute_15_156,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_15_27]) ).
cnf(refute_15_157,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_15_158,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_15_159,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_15_157,refute_15_158]) ).
cnf(refute_15_160,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_15_53,refute_15_159]) ).
cnf(refute_15_161,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_15_162,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_15_160,refute_15_161]) ).
cnf(refute_15_163,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_15_8,refute_15_162]) ).
cnf(refute_15_164,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_15_165,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_15_163,refute_15_164]) ).
cnf(refute_15_166,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_15_156,refute_15_165]) ).
cnf(refute_15_167,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_15_28]) ).
cnf(refute_15_168,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_15_169,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_15_170,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_15_168,refute_15_169]) ).
cnf(refute_15_171,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_15_31,refute_15_170]) ).
cnf(refute_15_172,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_15_173,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_15_171,refute_15_172]) ).
cnf(refute_15_174,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_15_167,refute_15_173]) ).
cnf(refute_15_175,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_15_176,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_15_177,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_15_175,refute_15_176]) ).
cnf(refute_15_178,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_15_145,refute_15_177]) ).
cnf(refute_15_179,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_15_180,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_15_178,refute_15_179]) ).
cnf(refute_15_181,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_15_82,refute_15_180]) ).
cnf(refute_15_182,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_15_183,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_15_181,refute_15_182]) ).
cnf(refute_15_184,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_15_185,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_15_186,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_15_184,refute_15_185]) ).
cnf(refute_15_187,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_15_183,refute_15_186]) ).
cnf(refute_15_188,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_15_189,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_15_187,refute_15_188]) ).
cnf(refute_15_190,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_15_174,refute_15_189]) ).
cnf(refute_15_191,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_15_192,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_15_190,refute_15_191]) ).
cnf(refute_15_193,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_15_166,refute_15_192]) ).
cnf(refute_15_194,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_15_195,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_15_196,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_15_194,refute_15_195]) ).
cnf(refute_15_197,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_15_193,refute_15_196]) ).
cnf(refute_15_198,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_15_199,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_15_197,refute_15_198]) ).
cnf(refute_15_200,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_15_121,refute_15_199]) ).
cnf(refute_15_201,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_15_202,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_15_200,refute_15_201]) ).
cnf(refute_15_203,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_15_155,refute_15_202]) ).
cnf(refute_15_204,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_15_205,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_15_203,refute_15_204]) ).
cnf(refute_15_206,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_15_121,refute_15_205]) ).
cnf(refute_15_207,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_15_29]) ).
cnf(refute_15_208,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_15_209,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_15_210,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_15_208,refute_15_209]) ).
cnf(refute_15_211,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_15_62,refute_15_210]) ).
cnf(refute_15_212,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_15_213,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_15_211,refute_15_212]) ).
cnf(refute_15_214,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_15_30]) ).
cnf(refute_15_215,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_15_216,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_15_214,refute_15_215]) ).
cnf(refute_15_217,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_15_218,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_15_216,refute_15_217]) ).
cnf(refute_15_219,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_15_213,refute_15_218]) ).
cnf(refute_15_220,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_15_207,refute_15_219]) ).
cnf(refute_15_221,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_15_222,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_15_223,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_15_221,refute_15_222]) ).
cnf(refute_15_224,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_15_145,refute_15_223]) ).
cnf(refute_15_225,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_15_226,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_15_224,refute_15_225]) ).
cnf(refute_15_227,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_15_193,refute_15_226]) ).
cnf(refute_15_228,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_15_229,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_15_227,refute_15_228]) ).
cnf(refute_15_230,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_15_220,refute_15_229]) ).
cnf(refute_15_231,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_15_6:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_15_232,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_15_230,refute_15_231]) ).
cnf(refute_15_233,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_15_234,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_15_216,refute_15_233]) ).
cnf(refute_15_235,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_15_232,refute_15_234]) ).
cnf(refute_15_236,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_15_237,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_15_238,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_15_236,refute_15_237]) ).
cnf(refute_15_239,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_15_235,refute_15_238]) ).
cnf(refute_15_240,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_15_241,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_15_239,refute_15_240]) ).
cnf(refute_15_242,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_15_206,refute_15_241]) ).
cnf(refute_15_243,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_15_244,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_15_242,refute_15_243]) ).
cnf(refute_15_245,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_15_1,refute_15_244]) ).
cnf(refute_15_246,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_15_32]) ).
cnf(refute_15_247,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_15_33]) ).
cnf(refute_15_248,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_15_35]) ).
cnf(refute_15_249,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_15_6:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_15_250,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_15_248,refute_15_249]) ).
cnf(refute_15_251,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_15_252,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_15_253,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_15_251,refute_15_252]) ).
cnf(refute_15_254,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_250,refute_15_253]) ).
cnf(refute_15_255,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_15_256,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_15_254,refute_15_255]) ).
cnf(refute_15_257,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_15_36]) ).
cnf(refute_15_258,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_15_6:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_15_259,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_15_257,refute_15_258]) ).
cnf(refute_15_260,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_15_261,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_15_259,refute_15_260]) ).
cnf(refute_15_262,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_15_256,refute_15_261]) ).
cnf(refute_15_263,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_15_247,refute_15_262]) ).
cnf(refute_15_264,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_15_265,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_15_266,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_15_264,refute_15_265]) ).
cnf(refute_15_267,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_15_263,refute_15_266]) ).
cnf(refute_15_268,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_15_269,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_15_267,refute_15_268]) ).
cnf(refute_15_270,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_15_271,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_15_272,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_15_270,refute_15_271]) ).
cnf(refute_15_273,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_15_250,refute_15_272]) ).
cnf(refute_15_274,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_15_275,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_15_273,refute_15_274]) ).
cnf(refute_15_276,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_15_269,refute_15_275]) ).
cnf(refute_15_277,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_15_246,refute_15_276]) ).
cnf(refute_15_278,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_15_37]) ).
cnf(refute_15_279,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_15_280,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_15_281,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_15_279,refute_15_280]) ).
cnf(refute_15_282,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_15_259,refute_15_281]) ).
cnf(refute_15_283,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_15_284,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_15_282,refute_15_283]) ).
cnf(refute_15_285,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_15_278,refute_15_284]) ).
cnf(refute_15_286,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_15_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_15_287,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_15_285,refute_15_286]) ).
cnf(refute_15_288,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(e10)]]) ).
cnf(refute_15_289,plain,
( op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_15_287,refute_15_288]) ).
cnf(refute_15_290,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_15_277,refute_15_289]) ).
cnf(refute_15_291,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_15_6:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_15_292,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_15_290,refute_15_291]) ).
cnf(refute_15_293,plain,
h4(op1(e13,e13)) = h4(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h4(op1(e13,e13)))]]) ).
cnf(refute_15_294,plain,
( h4(op1(e13,e13)) != h4(op1(e13,e13))
| op1(e13,e13) != e10
| h4(op1(e13,e13)) = h4(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_15_295,plain,
( op1(e13,e13) != e10
| h4(op1(e13,e13)) = h4(e10) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(op1(e13,e13))) )],[refute_15_293,refute_15_294]) ).
cnf(refute_15_296,plain,
h4(op1(e13,e13)) = h4(e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_15_292,refute_15_295]) ).
cnf(refute_15_297,plain,
( h4(e10) != h1(e13)
| h4(op1(e13,e13)) != h4(e10)
| h4(op1(e13,e13)) = h1(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(h4(op1(e13,e13)))),bind(Y,$fot(h4(e10))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_15_298,plain,
( h4(e10) != h1(e13)
| h4(op1(e13,e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h4(e10)) )],[refute_15_296,refute_15_297]) ).
cnf(refute_15_299,plain,
h4(op1(e13,e13)) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_15_245,refute_15_298]) ).
cnf(refute_15_300,plain,
( h1(e13) != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) != h1(e13)
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(op1(e13,e13)),h1(e13)) ),[1],$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_301,plain,
( h1(e13) != op2(h4(e13),h4(e13))
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),h1(e13)) )],[refute_15_299,refute_15_300]) ).
cnf(refute_15_302,plain,
op2(h4(e13),h4(e13)) = op2(h4(e13),h4(e13)),
introduced(tautology,[refl,[$fot(op2(h4(e13),h4(e13)))]]) ).
cnf(refute_15_303,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e13)) != op2(h4(e13),h4(e13))
| op2(h4(e13),h4(e13)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_15_304,plain,
( h4(e13) != e20
| op2(h4(e13),h4(e13)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(h4(e13),h4(e13))) )],[refute_15_302,refute_15_303]) ).
cnf(refute_15_305,plain,
op2(h4(e13),h4(e13)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_15_145,refute_15_304]) ).
cnf(refute_15_306,plain,
( op2(e20,h4(e13)) != op2(e20,e20)
| op2(h4(e13),h4(e13)) != op2(e20,h4(e13))
| op2(h4(e13),h4(e13)) = op2(e20,e20) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e20,h4(e13)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_15_307,plain,
( op2(e20,h4(e13)) != op2(e20,e20)
| op2(h4(e13),h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e20,h4(e13))) )],[refute_15_305,refute_15_306]) ).
cnf(refute_15_308,plain,
op2(h4(e13),h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_15_149,refute_15_307]) ).
cnf(refute_15_309,plain,
( op2(e20,e20) != h1(e13)
| op2(h4(e13),h4(e13)) != op2(e20,e20)
| op2(h4(e13),h4(e13)) = h1(e13) ),
inference(subst,[],[refute_15_68:[bind(X,$fot(op2(h4(e13),h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_15_310,plain,
( op2(e20,e20) != h1(e13)
| op2(h4(e13),h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),op2(e20,e20)) )],[refute_15_308,refute_15_309]) ).
cnf(refute_15_311,plain,
op2(h4(e13),h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_15_132,refute_15_310]) ).
cnf(refute_15_312,plain,
( h1(e13) != h1(e13)
| op2(h4(e13),h4(e13)) != h1(e13)
| h1(e13) = op2(h4(e13),h4(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h1(e13),op2(h4(e13),h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_15_313,plain,
( h1(e13) != h1(e13)
| h1(e13) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),h4(e13)),h1(e13)) )],[refute_15_311,refute_15_312]) ).
cnf(refute_15_314,plain,
( h1(e13) != h1(e13)
| h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
inference(resolve,[$cnf( $equal(h1(e13),op2(h4(e13),h4(e13))) )],[refute_15_313,refute_15_301]) ).
cnf(refute_15_315,plain,
h1(e13) != h1(e13),
inference(resolve,[$cnf( $equal(h4(op1(e13,e13)),op2(h4(e13),h4(e13))) )],[refute_15_314,refute_15_0]) ).
cnf(refute_15_316,plain,
h1(e13) = h1(e13),
introduced(tautology,[refl,[$fot(h1(e13))]]) ).
cnf(refute_15_317,plain,
$false,
inference(resolve,[$cnf( $equal(h1(e13),h1(e13)) )],[refute_15_316,refute_15_315]) ).
fof(negate_16_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20 )
=> h4(e13) = e20 ),
inference(negate,[],[subgoal_16]) ).
fof(normalize_16_0,plain,
( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_16_0]) ).
fof(normalize_16_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_16_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_16_1]) ).
fof(normalize_16_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_16_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_16_3]) ).
fof(normalize_16_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_16_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_16_5]) ).
fof(normalize_16_7,plain,
( h4(e10) != e20
& h4(e11) != e20
& h4(e12) != e20
& h4(e13) != e20
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_16_0,normalize_16_2,normalize_16_4,normalize_16_6]) ).
fof(normalize_16_8,plain,
h4(e13) != e20,
inference(conjunct,[],[normalize_16_7]) ).
fof(normalize_16_9,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_16_10,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_11,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_16_12,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_16_11]) ).
fof(normalize_16_13,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_16_11]) ).
fof(normalize_16_14,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_15,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_16_9]) ).
fof(normalize_16_16,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_16_17,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_16_16]) ).
cnf(refute_16_0,plain,
h4(e13) != e20,
inference(canonicalize,[],[normalize_16_8]) ).
cnf(refute_16_1,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_16_10]) ).
cnf(refute_16_2,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_16_12]) ).
cnf(refute_16_3,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_16_13]) ).
cnf(refute_16_4,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_16_14]) ).
cnf(refute_16_5,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_16_6,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_16_7,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_16_5,refute_16_6]) ).
cnf(refute_16_8,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_16_7:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_16_9,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_16_4,refute_16_8]) ).
cnf(refute_16_10,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_16_11,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_16_12,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_16_10,refute_16_11]) ).
cnf(refute_16_13,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_9,refute_16_12]) ).
cnf(refute_16_14,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_16_15,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_16_13,refute_16_14]) ).
cnf(refute_16_16,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_16_15]) ).
cnf(refute_16_17,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_16_7:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_16_18,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_16_16,refute_16_17]) ).
cnf(refute_16_19,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_16_20,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_16_18,refute_16_19]) ).
cnf(refute_16_21,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_16_15,refute_16_20]) ).
cnf(refute_16_22,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_16_3,refute_16_21]) ).
cnf(refute_16_23,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_16_24,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_25,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_16_23,refute_16_24]) ).
cnf(refute_16_26,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_16_22,refute_16_25]) ).
cnf(refute_16_27,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_16_28,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_16_26,refute_16_27]) ).
cnf(refute_16_29,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_16_17]) ).
cnf(refute_16_30,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_16_7:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_16_31,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_16_29,refute_16_30]) ).
cnf(refute_16_32,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_16_33,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_16_34,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_16_32,refute_16_33]) ).
cnf(refute_16_35,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_16_9,refute_16_34]) ).
cnf(refute_16_36,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_16_37,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_16_7,refute_16_36]) ).
cnf(refute_16_38,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_16_37:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_16_39,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_16_35,refute_16_38]) ).
cnf(refute_16_40,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_16_31,refute_16_39]) ).
cnf(refute_16_41,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_16_42,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_16_40,refute_16_41]) ).
cnf(refute_16_43,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_16_28,refute_16_42]) ).
cnf(refute_16_44,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_16_2,refute_16_43]) ).
cnf(refute_16_45,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_16_46,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_16_47,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_16_45,refute_16_46]) ).
cnf(refute_16_48,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_16_18,refute_16_47]) ).
cnf(refute_16_49,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_16_37:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_16_50,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_16_48,refute_16_49]) ).
cnf(refute_16_51,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_16_44,refute_16_50]) ).
cnf(refute_16_52,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_16_53,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_16_51,refute_16_52]) ).
cnf(refute_16_54,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_16_1,refute_16_53]) ).
cnf(refute_16_55,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_16_7:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_16_56,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_16_54,refute_16_55]) ).
cnf(refute_16_57,plain,
( e20 != e20
| h4(e13) != e20
| h4(e13) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e20) ),[1],$fot(e20)]]) ).
cnf(refute_16_58,plain,
( e20 != e20
| h4(e13) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_56,refute_16_57]) ).
cnf(refute_16_59,plain,
e20 != e20,
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_16_58,refute_16_0]) ).
cnf(refute_16_60,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_16_61,plain,
$false,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_16_60,refute_16_59]) ).
fof(negate_17_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21 )
=> h4(e13) = e21 ),
inference(negate,[],[subgoal_17]) ).
fof(normalize_17_0,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_17_0]) ).
fof(normalize_17_1,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_17_2,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_3,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_17_4,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_17_3]) ).
fof(normalize_17_5,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_17_6,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_7,plain,
( h4(e10) != e21
& h4(e11) != e21
& h4(e12) != e21
& h4(e13) != e21
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_17_0,normalize_17_2,normalize_17_4,normalize_17_6]) ).
fof(normalize_17_8,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ),
inference(conjunct,[],[normalize_17_7]) ).
fof(normalize_17_9,plain,
( ~ definitionFOFtoCNF_106
<=> ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_17_10,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ),
inference(simplify,[],[normalize_17_8,normalize_17_9]) ).
fof(normalize_17_11,plain,
( ~ definitionFOFtoCNF_107
<=> ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 ) ),
inference(canonicalize,[],[definition_1]) ).
fof(normalize_17_12,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ),
inference(simplify,[],[normalize_17_10,normalize_17_11]) ).
fof(normalize_17_13,plain,
( ( h3(e10) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 )
& ( h3(e11) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 )
& ( h3(e12) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 )
& ( h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ) ),
inference(clausify,[],[normalize_17_12]) ).
fof(normalize_17_14,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(conjunct,[],[normalize_17_13]) ).
fof(normalize_17_15,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_16,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_17_17,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_17_16]) ).
fof(normalize_17_18,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_19,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_20,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_21,plain,
( e10 = op1(op1(e12,op1(e12,e12)),e12)
& e11 = op1(e12,op1(e12,e12))
& e13 = op1(e12,e12) ),
inference(canonicalize,[],[ax24]) ).
fof(normalize_17_22,plain,
e13 = op1(e12,e12),
inference(conjunct,[],[normalize_17_21]) ).
fof(normalize_17_23,plain,
e11 = op1(e12,op1(e12,e12)),
inference(conjunct,[],[normalize_17_21]) ).
fof(normalize_17_24,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(conjunct,[],[normalize_17_21]) ).
fof(normalize_17_25,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_17_26,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_17_25]) ).
fof(normalize_17_27,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_28,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_29,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_30,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_17_16]) ).
fof(normalize_17_31,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_17_16]) ).
fof(normalize_17_32,plain,
h3(e11) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_33,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_34,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_35,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_36,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_37,plain,
op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_38,plain,
op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_39,plain,
op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_40,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_41,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_42,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_43,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_17_3]) ).
fof(normalize_17_44,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_45,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_46,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_47,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_48,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_49,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_50,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_51,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_52,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_53,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_54,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_55,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_17_1]) ).
fof(normalize_17_56,plain,
h3(e13) = op2(e22,e22),
inference(conjunct,[],[normalize_17_5]) ).
fof(normalize_17_57,plain,
( ( h3(e10) != e20
| ~ definitionFOFtoCNF_106 )
& ( h3(e11) != e20
| ~ definitionFOFtoCNF_106 )
& ( h3(e12) != e20
| ~ definitionFOFtoCNF_106 )
& ( h3(e13) != e20
| ~ definitionFOFtoCNF_106 )
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20
| definitionFOFtoCNF_106 ) ),
inference(clausify,[],[normalize_17_9]) ).
fof(normalize_17_58,plain,
( h3(e10) != e20
| ~ definitionFOFtoCNF_106 ),
inference(conjunct,[],[normalize_17_57]) ).
fof(normalize_17_59,plain,
( ( h3(e10) != e21
| ~ definitionFOFtoCNF_107 )
& ( h3(e11) != e21
| ~ definitionFOFtoCNF_107 )
& ( h3(e12) != e21
| ~ definitionFOFtoCNF_107 )
& ( h3(e13) != e21
| ~ definitionFOFtoCNF_107 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21
| definitionFOFtoCNF_107 ) ),
inference(clausify,[],[normalize_17_11]) ).
fof(normalize_17_60,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_107 ),
inference(conjunct,[],[normalize_17_59]) ).
fof(normalize_17_61,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(conjunct,[],[normalize_17_18]) ).
fof(normalize_17_62,plain,
( op1(e10,unit1) = e10
& op1(e11,unit1) = e11
& op1(e12,unit1) = e12
& op1(e13,unit1) = e13
& op1(unit1,e10) = e10
& op1(unit1,e11) = e11
& op1(unit1,e12) = e12
& op1(unit1,e13) = e13
& ( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ) ),
inference(canonicalize,[],[ax3]) ).
fof(normalize_17_63,plain,
op1(e12,unit1) = e12,
inference(conjunct,[],[normalize_17_62]) ).
fof(normalize_17_64,plain,
op1(unit1,e13) = e13,
inference(conjunct,[],[normalize_17_62]) ).
fof(normalize_17_65,plain,
( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ),
inference(conjunct,[],[normalize_17_62]) ).
fof(normalize_17_66,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_67,plain,
op1(e10,e12) != op1(e12,e12),
inference(conjunct,[],[normalize_17_66]) ).
fof(normalize_17_68,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
inference(canonicalize,[],[ax19]) ).
fof(normalize_17_69,plain,
e11 != e13,
inference(conjunct,[],[normalize_17_68]) ).
fof(normalize_17_70,plain,
op1(e12,e11) != op1(e12,e12),
inference(conjunct,[],[normalize_17_66]) ).
fof(normalize_17_71,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_17_72,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(conjunct,[],[normalize_17_71]) ).
fof(normalize_17_73,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_74,plain,
op2(e20,e22) != op2(e22,e22),
inference(conjunct,[],[normalize_17_73]) ).
fof(normalize_17_75,plain,
op2(e23,e21) != op2(e23,e23),
inference(conjunct,[],[normalize_17_73]) ).
fof(normalize_17_76,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_17_73]) ).
fof(normalize_17_77,plain,
op1(e11,unit1) = e11,
inference(conjunct,[],[normalize_17_62]) ).
fof(normalize_17_78,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_79,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_80,plain,
op1(e10,unit1) = e10,
inference(conjunct,[],[normalize_17_62]) ).
fof(normalize_17_81,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_82,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_83,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_84,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_17_27]) ).
fof(normalize_17_85,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_17_27]) ).
cnf(refute_17_0,plain,
( h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(canonicalize,[],[normalize_17_14]) ).
cnf(refute_17_1,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_17_15]) ).
cnf(refute_17_2,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_17_17]) ).
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( $equal(X,X) )],[refute_17_3,refute_17_4]) ).
cnf(refute_17_6,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = e20 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(op2(e22,op2(e22,e22)),e22)))]]) ).
cnf(refute_17_7,plain,
op2(op2(e22,op2(e22,e22)),e22) = e20,
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_17_2,refute_17_6]) ).
cnf(refute_17_8,plain,
( h3(e10) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e10),e20) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_17_9,plain,
( h3(e10) != op2(op2(e22,op2(e22,e22)),e22)
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),e20) )],[refute_17_7,refute_17_8]) ).
cnf(refute_17_10,plain,
h3(e10) = e20,
inference(resolve,[$cnf( $equal(h3(e10),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_17_1,refute_17_9]) ).
cnf(refute_17_11,plain,
op1(op1(e13,e12),e12) = op1(e13,op1(e12,e12)),
inference(canonicalize,[],[normalize_17_19]) ).
cnf(refute_17_12,plain,
op1(op1(e12,e12),e12) = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_17_20]) ).
cnf(refute_17_13,plain,
e13 = op1(e12,e12),
inference(canonicalize,[],[normalize_17_22]) ).
cnf(refute_17_14,plain,
( e13 != op1(e12,e12)
| op1(e12,e12) = e13 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e12,e12)))]]) ).
cnf(refute_17_15,plain,
op1(e12,e12) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e12,e12)) )],[refute_17_13,refute_17_14]) ).
cnf(refute_17_16,plain,
op1(op1(e12,e12),e12) = op1(op1(e12,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e12))]]) ).
cnf(refute_17_17,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) != op1(op1(e12,e12),e12)
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) ),[1,0],$fot(e13)]]) ).
cnf(refute_17_18,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e12) = op1(e13,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(op1(e12,e12),e12)) )],[refute_17_16,refute_17_17]) ).
cnf(refute_17_19,plain,
op1(op1(e12,e12),e12) = op1(e13,e12),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_18]) ).
cnf(refute_17_20,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(op1(e12,e12),e12) != op1(e13,e12)
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) ),[0],$fot(op1(e13,e12))]]) ).
cnf(refute_17_21,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = op1(e12,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e13,e12)) )],[refute_17_19,refute_17_20]) ).
cnf(refute_17_22,plain,
e11 = op1(e12,op1(e12,e12)),
inference(canonicalize,[],[normalize_17_23]) ).
cnf(refute_17_23,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = e11 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,op1(e12,e12))))]]) ).
cnf(refute_17_24,plain,
op1(e12,op1(e12,e12)) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_17_22,refute_17_23]) ).
cnf(refute_17_25,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) ),[1],$fot(e11)]]) ).
cnf(refute_17_26,plain,
( op1(e13,e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_17_24,refute_17_25]) ).
cnf(refute_17_27,plain,
( op1(op1(e12,e12),e12) != op1(e12,op1(e12,e12))
| op1(e13,e12) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e12),op1(e12,op1(e12,e12))) )],[refute_17_21,refute_17_26]) ).
cnf(refute_17_28,plain,
op1(e13,e12) = e11,
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e12),op1(e12,op1(e12,e12))) )],[refute_17_12,refute_17_27]) ).
cnf(refute_17_29,plain,
op1(op1(e13,e12),e12) = op1(op1(e13,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e12),e12))]]) ).
cnf(refute_17_30,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) != op1(op1(e13,e12),e12)
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_31,plain,
( op1(e13,e12) != e11
| op1(op1(e13,e12),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(op1(e13,e12),e12)) )],[refute_17_29,refute_17_30]) ).
cnf(refute_17_32,plain,
op1(op1(e13,e12),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_17_28,refute_17_31]) ).
cnf(refute_17_33,plain,
( op1(op1(e13,e12),e12) != op1(e11,e12)
| op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_17_34,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,op1(e12,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e11,e12)) )],[refute_17_32,refute_17_33]) ).
cnf(refute_17_35,plain,
op1(e13,op1(e12,e12)) = op1(e13,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_17_36,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_17_37,plain,
( op1(e12,e12) != e13
| op1(e13,op1(e12,e12)) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,op1(e12,e12))) )],[refute_17_35,refute_17_36]) ).
cnf(refute_17_38,plain,
op1(e13,op1(e12,e12)) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_37]) ).
cnf(refute_17_39,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e13,op1(e12,e12)) != op1(e13,e13)
| op1(e11,e12) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(op1(e13,op1(e12,e12)))]]) ).
cnf(refute_17_40,plain,
( op1(e11,e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e12,e12)),op1(e13,e13)) )],[refute_17_38,refute_17_39]) ).
cnf(refute_17_41,plain,
( op1(op1(e13,e12),e12) != op1(e13,op1(e12,e12))
| op1(e11,e12) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,op1(e12,e12))) )],[refute_17_34,refute_17_40]) ).
cnf(refute_17_42,plain,
op1(e11,e12) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(op1(e13,e12),e12),op1(e13,op1(e12,e12))) )],[refute_17_11,refute_17_41]) ).
cnf(refute_17_43,plain,
e10 = op1(op1(e12,op1(e12,e12)),e12),
inference(canonicalize,[],[normalize_17_24]) ).
cnf(refute_17_44,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(op1(e12,op1(e12,e12)),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_17_45,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_46,plain,
( op1(e12,op1(e12,e12)) != e11
| op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(op1(e12,op1(e12,e12)),e12)) )],[refute_17_44,refute_17_45]) ).
cnf(refute_17_47,plain,
op1(op1(e12,op1(e12,e12)),e12) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),e11) )],[refute_17_24,refute_17_46]) ).
cnf(refute_17_48,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| op1(op1(e12,op1(e12,e12)),e12) != op1(e11,e12)
| e10 = op1(e11,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e11,e12)) ),[0],$fot(op1(op1(e12,op1(e12,e12)),e12))]]) ).
cnf(refute_17_49,plain,
( e10 != op1(op1(e12,op1(e12,e12)),e12)
| e10 = op1(e11,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,op1(e12,e12)),e12),op1(e11,e12)) )],[refute_17_47,refute_17_48]) ).
cnf(refute_17_50,plain,
e10 = op1(e11,e12),
inference(resolve,[$cnf( $equal(e10,op1(op1(e12,op1(e12,e12)),e12)) )],[refute_17_43,refute_17_49]) ).
cnf(refute_17_51,plain,
( e10 != op1(e11,e12)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e11,e12)))]]) ).
cnf(refute_17_52,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e11,e12)) )],[refute_17_50,refute_17_51]) ).
cnf(refute_17_53,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) ),[0],$fot(e10)]]) ).
cnf(refute_17_54,plain,
( op1(e11,e12) != op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_53]) ).
cnf(refute_17_55,plain,
e10 = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_17_42,refute_17_54]) ).
cnf(refute_17_56,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) = e10 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_17_57,plain,
op1(e13,e13) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_17_55,refute_17_56]) ).
cnf(refute_17_58,plain,
h3(op1(e13,e13)) = h3(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e13)))]]) ).
cnf(refute_17_59,plain,
( h3(op1(e13,e13)) != h3(op1(e13,e13))
| op1(e13,e13) != e10
| h3(op1(e13,e13)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_60,plain,
( op1(e13,e13) != e10
| h3(op1(e13,e13)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(op1(e13,e13))) )],[refute_17_58,refute_17_59]) ).
cnf(refute_17_61,plain,
h3(op1(e13,e13)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_57,refute_17_60]) ).
cnf(refute_17_62,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_17_63,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_17_5,refute_17_62]) ).
cnf(refute_17_64,plain,
( h3(e10) != e20
| h3(op1(e13,e13)) != h3(e10)
| h3(op1(e13,e13)) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e13,e13)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_65,plain,
( h3(e10) != e20
| h3(op1(e13,e13)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),h3(e10)) )],[refute_17_61,refute_17_64]) ).
cnf(refute_17_66,plain,
h3(op1(e13,e13)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_65]) ).
cnf(refute_17_67,plain,
( e20 != op2(h3(e13),h3(e13))
| h3(op1(e13,e13)) != e20
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e13)),e20) ),[1],$fot(op2(h3(e13),h3(e13)))]]) ).
cnf(refute_17_68,plain,
( e20 != op2(h3(e13),h3(e13))
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),e20) )],[refute_17_66,refute_17_67]) ).
cnf(refute_17_69,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_17_26]) ).
cnf(refute_17_70,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_28]) ).
cnf(refute_17_71,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_29]) ).
cnf(refute_17_72,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_17_30]) ).
cnf(refute_17_73,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_17_74,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_17_72,refute_17_73]) ).
cnf(refute_17_75,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_17_76,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_77,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_17_75,refute_17_76]) ).
cnf(refute_17_78,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_77]) ).
cnf(refute_17_79,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_17_80,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_17_78,refute_17_79]) ).
cnf(refute_17_81,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_31]) ).
cnf(refute_17_82,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_17_83,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_17_81,refute_17_82]) ).
cnf(refute_17_84,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_17_85,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_17_83,refute_17_84]) ).
cnf(refute_17_86,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_17_80,refute_17_85]) ).
cnf(refute_17_87,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_17_71,refute_17_86]) ).
cnf(refute_17_88,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_17_89,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_17_90,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_17_88,refute_17_89]) ).
cnf(refute_17_91,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_17_87,refute_17_90]) ).
cnf(refute_17_92,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_17_93,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_17_91,refute_17_92]) ).
cnf(refute_17_94,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_95,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_17_69,refute_17_94]) ).
cnf(refute_17_96,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_17_97,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_98,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_17_96,refute_17_97]) ).
cnf(refute_17_99,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_98]) ).
cnf(refute_17_100,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_17_101,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_17_99,refute_17_100]) ).
cnf(refute_17_102,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_95,refute_17_101]) ).
cnf(refute_17_103,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_17_104,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_17_102,refute_17_103]) ).
cnf(refute_17_105,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_17_93,refute_17_104]) ).
cnf(refute_17_106,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_17_70,refute_17_105]) ).
cnf(refute_17_107,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_17_108,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_17_109,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_17_107,refute_17_108]) ).
cnf(refute_17_110,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_17_83,refute_17_109]) ).
cnf(refute_17_111,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_17_112,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_17_110,refute_17_111]) ).
cnf(refute_17_113,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_17_106,refute_17_112]) ).
cnf(refute_17_114,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_17_115,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_17_113,refute_17_114]) ).
cnf(refute_17_116,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_17_2,refute_17_115]) ).
cnf(refute_17_117,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_17_118,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_17_116,refute_17_117]) ).
cnf(refute_17_119,plain,
( h4(e13) != e20
| h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e23,e23)) ),[0],$fot(e20)]]) ).
cnf(refute_17_120,plain,
( h4(e13) != op2(e23,e23)
| e20 = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_119]) ).
cnf(refute_17_121,plain,
e20 = op2(e23,e23),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_17_69,refute_17_120]) ).
cnf(refute_17_122,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) = e20 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_123,plain,
op2(e23,e23) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_17_121,refute_17_122]) ).
cnf(refute_17_124,plain,
op2(e23,h3(e13)) = op2(e23,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e13)))]]) ).
cnf(refute_17_125,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) != op2(e23,h3(e13))
| op2(e23,h3(e13)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_126,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,h3(e13))) )],[refute_17_124,refute_17_125]) ).
cnf(refute_17_127,plain,
op2(h3(e13),h3(e13)) = op2(h3(e13),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e13)))]]) ).
cnf(refute_17_128,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) != op2(h3(e13),h3(e13))
| op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_129,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = op2(e23,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(h3(e13),h3(e13))) )],[refute_17_127,refute_17_128]) ).
cnf(refute_17_130,plain,
( op2(e23,h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) != op2(e23,h3(e13))
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,h3(e13)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_17_131,plain,
( h3(e13) != e23
| op2(e23,h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,h3(e13))) )],[refute_17_129,refute_17_130]) ).
cnf(refute_17_132,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e13)),op2(e23,e23)) )],[refute_17_126,refute_17_131]) ).
cnf(refute_17_133,plain,
( op2(e23,e23) != e20
| op2(h3(e13),h3(e13)) != op2(e23,e23)
| op2(h3(e13),h3(e13)) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e13)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_134,plain,
( h3(e13) != e23
| op2(e23,e23) != e20
| op2(h3(e13),h3(e13)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),op2(e23,e23)) )],[refute_17_132,refute_17_133]) ).
cnf(refute_17_135,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e13)) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e20) )],[refute_17_123,refute_17_134]) ).
cnf(refute_17_136,plain,
( e20 != e20
| op2(h3(e13),h3(e13)) != e20
| e20 = op2(h3(e13),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h3(e13),h3(e13))) ),[1],$fot(e20)]]) ).
cnf(refute_17_137,plain,
( e20 != e20
| h3(e13) != e23
| e20 = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e13)),e20) )],[refute_17_135,refute_17_136]) ).
cnf(refute_17_138,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
inference(resolve,[$cnf( $equal(e20,op2(h3(e13),h3(e13))) )],[refute_17_137,refute_17_68]) ).
cnf(refute_17_139,plain,
( e20 != e20
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e13)),op2(h3(e13),h3(e13))) )],[refute_17_138,refute_17_0]) ).
cnf(refute_17_140,plain,
h3(e11) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_32]) ).
cnf(refute_17_141,plain,
( h3(e11) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e11),e21) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_17_142,plain,
( h3(e11) != op2(e22,op2(e22,e22))
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_17_83,refute_17_141]) ).
cnf(refute_17_143,plain,
h3(e11) = e21,
inference(resolve,[$cnf( $equal(h3(e11),op2(e22,op2(e22,e22))) )],[refute_17_140,refute_17_142]) ).
cnf(refute_17_144,plain,
h3(op1(e13,e12)) = h3(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e12)))]]) ).
cnf(refute_17_145,plain,
( h3(op1(e13,e12)) != h3(op1(e13,e12))
| op1(e13,e12) != e11
| h3(op1(e13,e12)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_146,plain,
( op1(e13,e12) != e11
| h3(op1(e13,e12)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(op1(e13,e12))) )],[refute_17_144,refute_17_145]) ).
cnf(refute_17_147,plain,
h3(op1(e13,e12)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_17_28,refute_17_146]) ).
cnf(refute_17_148,plain,
( h3(e11) != e21
| h3(op1(e13,e12)) != h3(e11)
| h3(op1(e13,e12)) = e21 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e13,e12)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_149,plain,
( h3(e11) != e21
| h3(op1(e13,e12)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),h3(e11)) )],[refute_17_147,refute_17_148]) ).
cnf(refute_17_150,plain,
h3(op1(e13,e12)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_149]) ).
cnf(refute_17_151,plain,
( e21 != op2(h3(e13),h3(e12))
| h3(op1(e13,e12)) != e21
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e12)),e21) ),[1],$fot(op2(h3(e13),h3(e12)))]]) ).
cnf(refute_17_152,plain,
( e21 != op2(h3(e13),h3(e12))
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),e21) )],[refute_17_150,refute_17_151]) ).
cnf(refute_17_153,plain,
h3(e12) = e22,
inference(canonicalize,[],[normalize_17_6]) ).
cnf(refute_17_154,plain,
op2(e23,h3(e12)) = op2(e23,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e12)))]]) ).
cnf(refute_17_155,plain,
( h3(e12) != e22
| op2(e23,h3(e12)) != op2(e23,h3(e12))
| op2(e23,h3(e12)) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_17_156,plain,
( h3(e12) != e22
| op2(e23,h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,h3(e12))) )],[refute_17_154,refute_17_155]) ).
cnf(refute_17_157,plain,
op2(e23,h3(e12)) = op2(e23,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_156]) ).
cnf(refute_17_158,plain,
op2(h3(e13),h3(e12)) = op2(h3(e13),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e12)))]]) ).
cnf(refute_17_159,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) != op2(h3(e13),h3(e12))
| op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_160,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = op2(e23,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(h3(e13),h3(e12))) )],[refute_17_158,refute_17_159]) ).
cnf(refute_17_161,plain,
( op2(e23,h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) != op2(e23,h3(e12))
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e12)))),bind(Y,$fot(op2(e23,h3(e12)))),bind(Z,$fot(op2(e23,e22)))]]) ).
cnf(refute_17_162,plain,
( h3(e13) != e23
| op2(e23,h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,h3(e12))) )],[refute_17_160,refute_17_161]) ).
cnf(refute_17_163,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e12)),op2(e23,e22)) )],[refute_17_157,refute_17_162]) ).
cnf(refute_17_164,plain,
( op2(e23,e22) != e21
| op2(h3(e13),h3(e12)) != op2(e23,e22)
| op2(h3(e13),h3(e12)) = e21 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e12)))),bind(Y,$fot(op2(e23,e22))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_165,plain,
( h3(e13) != e23
| op2(e23,e22) != e21
| op2(h3(e13),h3(e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),op2(e23,e22)) )],[refute_17_163,refute_17_164]) ).
cnf(refute_17_166,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e12)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_17_87,refute_17_165]) ).
cnf(refute_17_167,plain,
( e21 != e21
| op2(h3(e13),h3(e12)) != e21
| e21 = op2(h3(e13),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h3(e13),h3(e12))) ),[1],$fot(e21)]]) ).
cnf(refute_17_168,plain,
( e21 != e21
| h3(e13) != e23
| e21 = op2(h3(e13),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e12)),e21) )],[refute_17_166,refute_17_167]) ).
cnf(refute_17_169,plain,
( e21 != e21
| h3(e13) != e23
| h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
inference(resolve,[$cnf( $equal(e21,op2(h3(e13),h3(e12))) )],[refute_17_168,refute_17_152]) ).
cnf(refute_17_170,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e12)),op2(h3(e13),h3(e12))) )],[refute_17_169,refute_17_139]) ).
cnf(refute_17_171,plain,
op1(op1(e13,e13),e12) = op1(e13,op1(e13,e12)),
inference(canonicalize,[],[normalize_17_33]) ).
cnf(refute_17_172,plain,
op1(op1(e11,e12),e12) = op1(e11,op1(e12,e12)),
inference(canonicalize,[],[normalize_17_34]) ).
cnf(refute_17_173,plain,
op1(e11,op1(e12,e12)) = op1(e11,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e12,e12)))]]) ).
cnf(refute_17_174,plain,
( op1(e11,op1(e12,e12)) != op1(e11,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_17_175,plain,
( op1(e12,e12) != e13
| op1(e11,op1(e12,e12)) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,op1(e12,e12))) )],[refute_17_173,refute_17_174]) ).
cnf(refute_17_176,plain,
op1(e11,op1(e12,e12)) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_175]) ).
cnf(refute_17_177,plain,
( op1(e11,op1(e12,e12)) != op1(e11,e13)
| op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) ),[1],$fot(op1(e11,e13))]]) ).
cnf(refute_17_178,plain,
( op1(op1(e11,e12),e12) != op1(e11,op1(e12,e12))
| op1(op1(e11,e12),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e12)),op1(e11,e13)) )],[refute_17_176,refute_17_177]) ).
cnf(refute_17_179,plain,
op1(op1(e11,e12),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,op1(e12,e12))) )],[refute_17_172,refute_17_178]) ).
cnf(refute_17_180,plain,
( op1(e11,e12) != op1(e13,e13)
| op1(e13,e13) = op1(e11,e12) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e13,e13)))]]) ).
cnf(refute_17_181,plain,
op1(e13,e13) = op1(e11,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e13,e13)) )],[refute_17_42,refute_17_180]) ).
cnf(refute_17_182,plain,
op1(op1(e13,e13),e12) = op1(op1(e13,e13),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e12))]]) ).
cnf(refute_17_183,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) != op1(op1(e13,e13),e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_17_184,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e13,e13),e12)) )],[refute_17_182,refute_17_183]) ).
cnf(refute_17_185,plain,
op1(op1(e13,e13),e12) = op1(op1(e11,e12),e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_17_181,refute_17_184]) ).
cnf(refute_17_186,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(op1(e11,e12),e12)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(op1(e13,e13),e12))),bind(Y,$fot(op1(op1(e11,e12),e12))),bind(Z,$fot(op1(e11,e13)))]]) ).
cnf(refute_17_187,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(op1(e11,e12),e12)) )],[refute_17_185,refute_17_186]) ).
cnf(refute_17_188,plain,
op1(op1(e13,e13),e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_17_179,refute_17_187]) ).
cnf(refute_17_189,plain,
( op1(op1(e13,e13),e12) != op1(e11,e13)
| op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) ),[0],$fot(op1(e11,e13))]]) ).
cnf(refute_17_190,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,op1(e13,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e11,e13)) )],[refute_17_188,refute_17_189]) ).
cnf(refute_17_191,plain,
op1(e13,op1(e13,e12)) = op1(e13,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_17_192,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_17_193,plain,
( op1(e13,e12) != e11
| op1(e13,op1(e13,e12)) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,op1(e13,e12))) )],[refute_17_191,refute_17_192]) ).
cnf(refute_17_194,plain,
op1(e13,op1(e13,e12)) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_17_28,refute_17_193]) ).
cnf(refute_17_195,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e13,op1(e13,e12)) != op1(e13,e11)
| op1(e11,e13) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e13,op1(e13,e12)))]]) ).
cnf(refute_17_196,plain,
( op1(e11,e13) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e12)),op1(e13,e11)) )],[refute_17_194,refute_17_195]) ).
cnf(refute_17_197,plain,
( op1(op1(e13,e13),e12) != op1(e13,op1(e13,e12))
| op1(e11,e13) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,op1(e13,e12))) )],[refute_17_190,refute_17_196]) ).
cnf(refute_17_198,plain,
op1(e11,e13) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e12),op1(e13,op1(e13,e12))) )],[refute_17_171,refute_17_197]) ).
cnf(refute_17_199,plain,
op1(op1(e11,e12),e12) = op1(op1(e11,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e12))]]) ).
cnf(refute_17_200,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) != op1(op1(e11,e12),e12)
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_201,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(op1(e11,e12),e12)) )],[refute_17_199,refute_17_200]) ).
cnf(refute_17_202,plain,
op1(op1(e11,e12),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_201]) ).
cnf(refute_17_203,plain,
( op1(op1(e11,e12),e12) != op1(e10,e12)
| op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_204,plain,
( op1(op1(e11,e12),e12) != op1(e11,e13)
| op1(e10,e12) = op1(e11,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e10,e12)) )],[refute_17_202,refute_17_203]) ).
cnf(refute_17_205,plain,
op1(e10,e12) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e12),op1(e11,e13)) )],[refute_17_179,refute_17_204]) ).
cnf(refute_17_206,plain,
( op1(e10,e12) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e11,e13)))]]) ).
cnf(refute_17_207,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e11,e13)) )],[refute_17_205,refute_17_206]) ).
cnf(refute_17_208,plain,
( op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_209,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e10,e12) = op1(e13,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_17_207,refute_17_208]) ).
cnf(refute_17_210,plain,
op1(e10,e12) = op1(e13,e11),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_17_198,refute_17_209]) ).
cnf(refute_17_211,plain,
( op1(e10,e12) != op1(e13,e11)
| op1(e13,e11) = op1(e10,e12) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_17_212,plain,
op1(e13,e11) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e13,e11)) )],[refute_17_210,refute_17_211]) ).
cnf(refute_17_213,plain,
h3(op1(e13,e11)) = h3(op1(e13,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e11)))]]) ).
cnf(refute_17_214,plain,
( h3(op1(e13,e11)) != h3(op1(e13,e11))
| op1(e13,e11) != op1(e10,e12)
| h3(op1(e13,e11)) = h3(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_215,plain,
( op1(e13,e11) != op1(e10,e12)
| h3(op1(e13,e11)) = h3(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e13,e11))) )],[refute_17_213,refute_17_214]) ).
cnf(refute_17_216,plain,
h3(op1(e13,e11)) = h3(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e10,e12)) )],[refute_17_212,refute_17_215]) ).
cnf(refute_17_217,plain,
( h3(op1(e10,e12)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e11)) != h3(op1(e10,e12))
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e10,e12))) ),[1],$fot(op2(h3(e13),h3(e11)))]]) ).
cnf(refute_17_218,plain,
( h3(op1(e10,e12)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),h3(op1(e10,e12))) )],[refute_17_216,refute_17_217]) ).
cnf(refute_17_219,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_17_35]) ).
cnf(refute_17_220,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_36]) ).
cnf(refute_17_221,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_17_222,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_223,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_17_221,refute_17_222]) ).
cnf(refute_17_224,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_223]) ).
cnf(refute_17_225,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_17_226,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_17_224,refute_17_225]) ).
cnf(refute_17_227,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_17_220,refute_17_226]) ).
cnf(refute_17_228,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_17_229,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_17_230,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_17_228,refute_17_229]) ).
cnf(refute_17_231,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_17_106,refute_17_230]) ).
cnf(refute_17_232,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_17_233,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_17_231,refute_17_232]) ).
cnf(refute_17_234,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_17_227,refute_17_233]) ).
cnf(refute_17_235,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_17_236,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_17_237,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_17_235,refute_17_236]) ).
cnf(refute_17_238,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_95,refute_17_237]) ).
cnf(refute_17_239,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_17_240,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_17_238,refute_17_239]) ).
cnf(refute_17_241,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_17_234,refute_17_240]) ).
cnf(refute_17_242,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_17_243,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_17_241,refute_17_242]) ).
cnf(refute_17_244,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_17_245,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_246,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_17_244,refute_17_245]) ).
cnf(refute_17_247,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_17_87,refute_17_246]) ).
cnf(refute_17_248,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_17_249,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_17_247,refute_17_248]) ).
cnf(refute_17_250,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_17_243,refute_17_249]) ).
cnf(refute_17_251,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_17_219,refute_17_250]) ).
cnf(refute_17_252,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_17_253,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_254,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_17_252,refute_17_253]) ).
cnf(refute_17_255,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_254]) ).
cnf(refute_17_256,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_257,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_17_255,refute_17_256]) ).
cnf(refute_17_258,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_17_234,refute_17_257]) ).
cnf(refute_17_259,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_17_260,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_17_258,refute_17_259]) ).
cnf(refute_17_261,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(e21,e23) != op2(e23,e21)
| op2(e20,e22) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_262,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e20,e22) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_17_260,refute_17_261]) ).
cnf(refute_17_263,plain,
op2(e20,e22) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_17_251,refute_17_262]) ).
cnf(refute_17_264,plain,
( op2(e20,e22) != op2(e23,e21)
| op2(e23,e21) = op2(e20,e22) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_17_265,plain,
op2(e23,e21) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e21)) )],[refute_17_263,refute_17_264]) ).
cnf(refute_17_266,plain,
op2(e23,h3(e11)) = op2(e23,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e11)))]]) ).
cnf(refute_17_267,plain,
( h3(e11) != e21
| op2(e23,h3(e11)) != op2(e23,h3(e11))
| op2(e23,h3(e11)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_268,plain,
( h3(e11) != e21
| op2(e23,h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,h3(e11))) )],[refute_17_266,refute_17_267]) ).
cnf(refute_17_269,plain,
op2(e23,h3(e11)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_268]) ).
cnf(refute_17_270,plain,
op2(h3(e13),h3(e11)) = op2(h3(e13),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e11)))]]) ).
cnf(refute_17_271,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) != op2(h3(e13),h3(e11))
| op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_272,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) = op2(e23,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(h3(e13),h3(e11))) )],[refute_17_270,refute_17_271]) ).
cnf(refute_17_273,plain,
( op2(e23,h3(e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) != op2(e23,h3(e11))
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e11)))),bind(Y,$fot(op2(e23,h3(e11)))),bind(Z,$fot(op2(e23,e21)))]]) ).
cnf(refute_17_274,plain,
( h3(e13) != e23
| op2(e23,h3(e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,h3(e11))) )],[refute_17_272,refute_17_273]) ).
cnf(refute_17_275,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e11)),op2(e23,e21)) )],[refute_17_269,refute_17_274]) ).
cnf(refute_17_276,plain,
( op2(e23,e21) != op2(e20,e22)
| op2(h3(e13),h3(e11)) != op2(e23,e21)
| op2(h3(e13),h3(e11)) = op2(e20,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e11)))),bind(Y,$fot(op2(e23,e21))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_17_277,plain,
( h3(e13) != e23
| op2(e23,e21) != op2(e20,e22)
| op2(h3(e13),h3(e11)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e23,e21)) )],[refute_17_275,refute_17_276]) ).
cnf(refute_17_278,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e11)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e20,e22)) )],[refute_17_265,refute_17_277]) ).
cnf(refute_17_279,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(h3(e13),h3(e11)) != op2(e20,e22)
| h3(op1(e10,e12)) = op2(h3(e13),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e12)),op2(h3(e13),h3(e11))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_17_280,plain,
( h3(e13) != e23
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) = op2(h3(e13),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e11)),op2(e20,e22)) )],[refute_17_278,refute_17_279]) ).
cnf(refute_17_281,plain,
( h3(e13) != e23
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(h3(e13),h3(e11))) )],[refute_17_280,refute_17_218]) ).
cnf(refute_17_282,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e11)),op2(h3(e13),h3(e11))) )],[refute_17_281,refute_17_170]) ).
cnf(refute_17_283,plain,
op1(op1(e13,e11),e12) = op1(e13,op1(e11,e12)),
inference(canonicalize,[],[normalize_17_37]) ).
cnf(refute_17_284,plain,
op1(op1(e11,e13),e12) = op1(e11,op1(e13,e12)),
inference(canonicalize,[],[normalize_17_38]) ).
cnf(refute_17_285,plain,
op1(e11,op1(e13,e12)) = op1(e11,op1(e13,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e12)))]]) ).
cnf(refute_17_286,plain,
( op1(e11,op1(e13,e12)) != op1(e11,op1(e13,e12))
| op1(e13,e12) != e11
| op1(e11,op1(e13,e12)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,op1(e13,e12))) ),[1,1],$fot(e11)]]) ).
cnf(refute_17_287,plain,
( op1(e13,e12) != e11
| op1(e11,op1(e13,e12)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,op1(e13,e12))) )],[refute_17_285,refute_17_286]) ).
cnf(refute_17_288,plain,
op1(e11,op1(e13,e12)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,e12),e11) )],[refute_17_28,refute_17_287]) ).
cnf(refute_17_289,plain,
( op1(e11,op1(e13,e12)) != op1(e11,e11)
| op1(op1(e11,e13),e12) != op1(e11,op1(e13,e12))
| op1(op1(e11,e13),e12) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,op1(e13,e12))) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_17_290,plain,
( op1(op1(e11,e13),e12) != op1(e11,op1(e13,e12))
| op1(op1(e11,e13),e12) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e12)),op1(e11,e11)) )],[refute_17_288,refute_17_289]) ).
cnf(refute_17_291,plain,
op1(op1(e11,e13),e12) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,op1(e13,e12))) )],[refute_17_284,refute_17_290]) ).
cnf(refute_17_292,plain,
( op1(e11,e13) != op1(e13,e11)
| op1(e13,e11) = op1(e11,e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e13,e11)))]]) ).
cnf(refute_17_293,plain,
op1(e13,e11) = op1(e11,e13),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e13,e11)) )],[refute_17_198,refute_17_292]) ).
cnf(refute_17_294,plain,
op1(op1(e13,e11),e12) = op1(op1(e13,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e12))]]) ).
cnf(refute_17_295,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e12) != op1(op1(e13,e11),e12)
| op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e13,e11),e12)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_17_296,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e13,e11),e12)) )],[refute_17_294,refute_17_295]) ).
cnf(refute_17_297,plain,
op1(op1(e13,e11),e12) = op1(op1(e11,e13),e12),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_17_293,refute_17_296]) ).
cnf(refute_17_298,plain,
( op1(op1(e11,e13),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) != op1(op1(e11,e13),e12)
| op1(op1(e13,e11),e12) = op1(e11,e11) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(op1(e13,e11),e12))),bind(Y,$fot(op1(op1(e11,e13),e12))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_17_299,plain,
( op1(op1(e11,e13),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(op1(e11,e13),e12)) )],[refute_17_297,refute_17_298]) ).
cnf(refute_17_300,plain,
op1(op1(e13,e11),e12) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e12),op1(e11,e11)) )],[refute_17_291,refute_17_299]) ).
cnf(refute_17_301,plain,
( op1(op1(e13,e11),e12) != op1(e11,e11)
| op1(op1(e13,e11),e12) != op1(e13,op1(e11,e12))
| op1(e11,e11) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e13,op1(e11,e12))) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_17_302,plain,
( op1(op1(e13,e11),e12) != op1(e13,op1(e11,e12))
| op1(e11,e11) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e11,e11)) )],[refute_17_300,refute_17_301]) ).
cnf(refute_17_303,plain,
op1(e11,e11) = op1(e13,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e12),op1(e13,op1(e11,e12))) )],[refute_17_283,refute_17_302]) ).
cnf(refute_17_304,plain,
op1(op1(e11,e12),e13) = op1(e11,op1(e12,e13)),
inference(canonicalize,[],[normalize_17_39]) ).
cnf(refute_17_305,plain,
op1(op1(e13,e13),e13) = op1(e13,op1(e13,e13)),
inference(canonicalize,[],[normalize_17_40]) ).
cnf(refute_17_306,plain,
op1(op1(e13,e13),e13) = op1(op1(e13,e13),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e13))]]) ).
cnf(refute_17_307,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e13) != op1(op1(e13,e13),e13)
| op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_17_308,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e13,e13),e13)) )],[refute_17_306,refute_17_307]) ).
cnf(refute_17_309,plain,
op1(op1(e13,e13),e13) = op1(op1(e11,e12),e13),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_17_181,refute_17_308]) ).
cnf(refute_17_310,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) != op1(op1(e11,e12),e13)
| op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(op1(e13,e13),e13))),bind(Y,$fot(op1(op1(e11,e12),e13))),bind(Z,$fot(op1(e11,op1(e12,e13))))]]) ).
cnf(refute_17_311,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(op1(e11,e12),e13)) )],[refute_17_309,refute_17_310]) ).
cnf(refute_17_312,plain,
op1(op1(e13,e13),e13) = op1(e11,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) )],[refute_17_304,refute_17_311]) ).
cnf(refute_17_313,plain,
( op1(op1(e13,e13),e13) != op1(e11,op1(e12,e13))
| op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e13,op1(e13,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) ),[0],$fot(op1(e11,op1(e12,e13)))]]) ).
cnf(refute_17_314,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e13,op1(e13,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e11,op1(e12,e13))) )],[refute_17_312,refute_17_313]) ).
cnf(refute_17_315,plain,
( op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e13,op1(e11,e12)) = op1(e11,e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e11,e11))),bind(Y,$fot(op1(e13,op1(e11,e12))))]]) ).
cnf(refute_17_316,plain,
op1(e13,op1(e11,e12)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,op1(e11,e12))) )],[refute_17_303,refute_17_315]) ).
cnf(refute_17_317,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_17_318,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,op1(e13,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_17_319,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e13,e13))) )],[refute_17_317,refute_17_318]) ).
cnf(refute_17_320,plain,
op1(e13,op1(e13,e13)) = op1(e13,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_17_181,refute_17_319]) ).
cnf(refute_17_321,plain,
( op1(e13,op1(e11,e12)) != op1(e11,e11)
| op1(e13,op1(e13,e13)) != op1(e13,op1(e11,e12))
| op1(e13,op1(e13,e13)) = op1(e11,e11) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(e13,op1(e13,e13)))),bind(Y,$fot(op1(e13,op1(e11,e12)))),bind(Z,$fot(op1(e11,e11)))]]) ).
cnf(refute_17_322,plain,
( op1(e13,op1(e11,e12)) != op1(e11,e11)
| op1(e13,op1(e13,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e13,op1(e11,e12))) )],[refute_17_320,refute_17_321]) ).
cnf(refute_17_323,plain,
op1(e13,op1(e13,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e11,e11)) )],[refute_17_316,refute_17_322]) ).
cnf(refute_17_324,plain,
( op1(e11,op1(e12,e13)) != op1(e13,op1(e13,e13))
| op1(e13,op1(e13,e13)) != op1(e11,e11)
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e13)),op1(e11,e11)) ),[0],$fot(op1(e13,op1(e13,e13)))]]) ).
cnf(refute_17_325,plain,
( op1(e11,op1(e12,e13)) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e13)),op1(e11,e11)) )],[refute_17_323,refute_17_324]) ).
cnf(refute_17_326,plain,
( op1(op1(e13,e13),e13) != op1(e13,op1(e13,e13))
| op1(e11,op1(e12,e13)) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e13)),op1(e13,op1(e13,e13))) )],[refute_17_314,refute_17_325]) ).
cnf(refute_17_327,plain,
op1(e11,op1(e12,e13)) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e13),op1(e13,op1(e13,e13))) )],[refute_17_305,refute_17_326]) ).
cnf(refute_17_328,plain,
( op1(e11,op1(e12,e13)) != op1(e11,e11)
| op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e11,e12),e13) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) ),[1],$fot(op1(e11,e11))]]) ).
cnf(refute_17_329,plain,
( op1(op1(e11,e12),e13) != op1(e11,op1(e12,e13))
| op1(op1(e11,e12),e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e13)),op1(e11,e11)) )],[refute_17_327,refute_17_328]) ).
cnf(refute_17_330,plain,
op1(op1(e11,e12),e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,op1(e12,e13))) )],[refute_17_304,refute_17_329]) ).
cnf(refute_17_331,plain,
op1(op1(e11,e12),e13) = op1(op1(e11,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e13))]]) ).
cnf(refute_17_332,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e13) != op1(op1(e11,e12),e13)
| op1(op1(e11,e12),e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(op1(e11,e12),e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_333,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(op1(e11,e12),e13)) )],[refute_17_331,refute_17_332]) ).
cnf(refute_17_334,plain,
op1(op1(e11,e12),e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_333]) ).
cnf(refute_17_335,plain,
( op1(op1(e11,e12),e13) != op1(e10,e13)
| op1(op1(e11,e12),e13) != op1(e11,e11)
| op1(e10,e13) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,e11)) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_17_336,plain,
( op1(op1(e11,e12),e13) != op1(e11,e11)
| op1(e10,e13) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e10,e13)) )],[refute_17_334,refute_17_335]) ).
cnf(refute_17_337,plain,
op1(e10,e13) = op1(e11,e11),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e13),op1(e11,e11)) )],[refute_17_330,refute_17_336]) ).
cnf(refute_17_338,plain,
( op1(e10,e13) != op1(e11,e11)
| op1(e11,e11) = op1(e10,e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e11,e11)))]]) ).
cnf(refute_17_339,plain,
op1(e11,e11) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e11,e11)) )],[refute_17_337,refute_17_338]) ).
cnf(refute_17_340,plain,
( op1(e11,e11) != op1(e10,e13)
| op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),op1(e13,op1(e11,e12))) ),[0],$fot(op1(e10,e13))]]) ).
cnf(refute_17_341,plain,
( op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e10,e13)) )],[refute_17_339,refute_17_340]) ).
cnf(refute_17_342,plain,
op1(e13,op1(e11,e12)) = op1(e13,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e11,e12)))]]) ).
cnf(refute_17_343,plain,
( op1(e11,e12) != e10
| op1(e13,op1(e11,e12)) != op1(e13,op1(e11,e12))
| op1(e13,op1(e11,e12)) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e13,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_344,plain,
( op1(e11,e12) != e10
| op1(e13,op1(e11,e12)) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e13,op1(e11,e12))) )],[refute_17_342,refute_17_343]) ).
cnf(refute_17_345,plain,
op1(e13,op1(e11,e12)) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_344]) ).
cnf(refute_17_346,plain,
( op1(e10,e13) != op1(e13,op1(e11,e12))
| op1(e13,op1(e11,e12)) != op1(e13,e10)
| op1(e10,e13) = op1(e13,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e13),op1(e13,e10)) ),[0],$fot(op1(e13,op1(e11,e12)))]]) ).
cnf(refute_17_347,plain,
( op1(e10,e13) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e12)),op1(e13,e10)) )],[refute_17_345,refute_17_346]) ).
cnf(refute_17_348,plain,
( op1(e11,e11) != op1(e13,op1(e11,e12))
| op1(e10,e13) = op1(e13,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,op1(e11,e12))) )],[refute_17_341,refute_17_347]) ).
cnf(refute_17_349,plain,
op1(e10,e13) = op1(e13,e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e13,op1(e11,e12))) )],[refute_17_303,refute_17_348]) ).
cnf(refute_17_350,plain,
( op1(e10,e13) != op1(e13,e10)
| op1(e13,e10) = op1(e10,e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e13))),bind(Y,$fot(op1(e13,e10)))]]) ).
cnf(refute_17_351,plain,
op1(e13,e10) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e13,e10)) )],[refute_17_349,refute_17_350]) ).
cnf(refute_17_352,plain,
h3(op1(e13,e10)) = h3(op1(e13,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e13,e10)))]]) ).
cnf(refute_17_353,plain,
( h3(op1(e13,e10)) != h3(op1(e13,e10))
| op1(e13,e10) != op1(e10,e13)
| h3(op1(e13,e10)) = h3(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_17_354,plain,
( op1(e13,e10) != op1(e10,e13)
| h3(op1(e13,e10)) = h3(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e13,e10))) )],[refute_17_352,refute_17_353]) ).
cnf(refute_17_355,plain,
h3(op1(e13,e10)) = h3(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e10),op1(e10,e13)) )],[refute_17_351,refute_17_354]) ).
cnf(refute_17_356,plain,
( h3(op1(e10,e13)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e10)) != h3(op1(e10,e13))
| h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e10,e13))) ),[1],$fot(op2(h3(e13),h3(e10)))]]) ).
cnf(refute_17_357,plain,
( h3(op1(e10,e13)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),h3(op1(e10,e13))) )],[refute_17_355,refute_17_356]) ).
cnf(refute_17_358,plain,
op2(op2(e23,e21),e22) = op2(e23,op2(e21,e22)),
inference(canonicalize,[],[normalize_17_41]) ).
cnf(refute_17_359,plain,
op2(e23,op2(e21,e22)) = op2(e23,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e22)))]]) ).
cnf(refute_17_360,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) != op2(e23,op2(e21,e22))
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_17_361,plain,
( op2(e21,e22) != h4(e13)
| op2(e23,op2(e21,e22)) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,op2(e21,e22))) )],[refute_17_359,refute_17_360]) ).
cnf(refute_17_362,plain,
op2(e23,op2(e21,e22)) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_17_106,refute_17_361]) ).
cnf(refute_17_363,plain,
( op2(e23,op2(e21,e22)) != op2(e23,h4(e13))
| op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) ),[1],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_17_364,plain,
( op2(op2(e23,e21),e22) != op2(e23,op2(e21,e22))
| op2(op2(e23,e21),e22) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e22)),op2(e23,h4(e13))) )],[refute_17_362,refute_17_363]) ).
cnf(refute_17_365,plain,
op2(op2(e23,e21),e22) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,op2(e21,e22))) )],[refute_17_358,refute_17_364]) ).
cnf(refute_17_366,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_17_42]) ).
cnf(refute_17_367,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_17_43]) ).
cnf(refute_17_368,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_17_369,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_17_367,refute_17_368]) ).
cnf(refute_17_370,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_17_371,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_372,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_17_370,refute_17_371]) ).
cnf(refute_17_373,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_17_87,refute_17_372]) ).
cnf(refute_17_374,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_17_375,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_17_373,refute_17_374]) ).
cnf(refute_17_376,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_17_369,refute_17_375]) ).
cnf(refute_17_377,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_17_378,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_17_376,refute_17_377]) ).
cnf(refute_17_379,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_17_366,refute_17_378]) ).
cnf(refute_17_380,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_17_381,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_17_251,refute_17_380]) ).
cnf(refute_17_382,plain,
op2(op2(e23,e21),e22) = op2(op2(e23,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e22))]]) ).
cnf(refute_17_383,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) != op2(op2(e23,e21),e22)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_17_384,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e23,e21),e22)) )],[refute_17_382,refute_17_383]) ).
cnf(refute_17_385,plain,
op2(op2(e23,e21),e22) = op2(op2(e21,e23),e22),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_17_381,refute_17_384]) ).
cnf(refute_17_386,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(op2(e21,e23),e22)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e23,e21),e22))),bind(Y,$fot(op2(op2(e21,e23),e22))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_17_387,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e23,e21),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(op2(e21,e23),e22)) )],[refute_17_385,refute_17_386]) ).
cnf(refute_17_388,plain,
op2(op2(e23,e21),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_17_379,refute_17_387]) ).
cnf(refute_17_389,plain,
( op2(op2(e23,e21),e22) != h2(e13)
| op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) ),[0],$fot(h2(e13))]]) ).
cnf(refute_17_390,plain,
( op2(op2(e23,e21),e22) != op2(e23,h4(e13))
| h2(e13) = op2(e23,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),h2(e13)) )],[refute_17_388,refute_17_389]) ).
cnf(refute_17_391,plain,
h2(e13) = op2(e23,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e22),op2(e23,h4(e13))) )],[refute_17_365,refute_17_390]) ).
cnf(refute_17_392,plain,
op2(e23,h4(e13)) = op2(e23,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_17_393,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) != op2(e23,h4(e13))
| op2(e23,h4(e13)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_394,plain,
( h4(e13) != e20
| op2(e23,h4(e13)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,h4(e13))) )],[refute_17_392,refute_17_393]) ).
cnf(refute_17_395,plain,
op2(e23,h4(e13)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_394]) ).
cnf(refute_17_396,plain,
( h2(e13) != op2(e23,h4(e13))
| op2(e23,h4(e13)) != op2(e23,e20)
| h2(e13) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e23,e20)) ),[0],$fot(op2(e23,h4(e13)))]]) ).
cnf(refute_17_397,plain,
( h2(e13) != op2(e23,h4(e13))
| h2(e13) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h4(e13)),op2(e23,e20)) )],[refute_17_395,refute_17_396]) ).
cnf(refute_17_398,plain,
h2(e13) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,h4(e13))) )],[refute_17_391,refute_17_397]) ).
cnf(refute_17_399,plain,
( h2(e13) != op2(e23,e20)
| op2(e23,e20) = h2(e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e23,e20)))]]) ).
cnf(refute_17_400,plain,
op2(e23,e20) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e23,e20)) )],[refute_17_398,refute_17_399]) ).
cnf(refute_17_401,plain,
op2(e23,h3(e10)) = op2(e23,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e23,h3(e10)))]]) ).
cnf(refute_17_402,plain,
( h3(e10) != e20
| op2(e23,h3(e10)) != op2(e23,h3(e10))
| op2(e23,h3(e10)) = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_403,plain,
( h3(e10) != e20
| op2(e23,h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,h3(e10))) )],[refute_17_401,refute_17_402]) ).
cnf(refute_17_404,plain,
op2(e23,h3(e10)) = op2(e23,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_403]) ).
cnf(refute_17_405,plain,
op2(h3(e13),h3(e10)) = op2(h3(e13),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e13),h3(e10)))]]) ).
cnf(refute_17_406,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) != op2(h3(e13),h3(e10))
| op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_407,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) = op2(e23,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(h3(e13),h3(e10))) )],[refute_17_405,refute_17_406]) ).
cnf(refute_17_408,plain,
( op2(e23,h3(e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) != op2(e23,h3(e10))
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e10)))),bind(Y,$fot(op2(e23,h3(e10)))),bind(Z,$fot(op2(e23,e20)))]]) ).
cnf(refute_17_409,plain,
( h3(e13) != e23
| op2(e23,h3(e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,h3(e10))) )],[refute_17_407,refute_17_408]) ).
cnf(refute_17_410,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) = op2(e23,e20) ),
inference(resolve,[$cnf( $equal(op2(e23,h3(e10)),op2(e23,e20)) )],[refute_17_404,refute_17_409]) ).
cnf(refute_17_411,plain,
( op2(e23,e20) != h2(e13)
| op2(h3(e13),h3(e10)) != op2(e23,e20)
| op2(h3(e13),h3(e10)) = h2(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e13),h3(e10)))),bind(Y,$fot(op2(e23,e20))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_17_412,plain,
( h3(e13) != e23
| op2(e23,e20) != h2(e13)
| op2(h3(e13),h3(e10)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),op2(e23,e20)) )],[refute_17_410,refute_17_411]) ).
cnf(refute_17_413,plain,
( h3(e13) != e23
| op2(h3(e13),h3(e10)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,e20),h2(e13)) )],[refute_17_400,refute_17_412]) ).
cnf(refute_17_414,plain,
( h3(op1(e10,e13)) != h2(e13)
| op2(h3(e13),h3(e10)) != h2(e13)
| h3(op1(e10,e13)) = op2(h3(e13),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e13)),op2(h3(e13),h3(e10))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_17_415,plain,
( h3(e13) != e23
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) = op2(h3(e13),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e13),h3(e10)),h2(e13)) )],[refute_17_413,refute_17_414]) ).
cnf(refute_17_416,plain,
( h3(e13) != e23
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),op2(h3(e13),h3(e10))) )],[refute_17_415,refute_17_357]) ).
cnf(refute_17_417,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e13,e10)),op2(h3(e13),h3(e10))) )],[refute_17_416,refute_17_282]) ).
cnf(refute_17_418,plain,
op1(e12,op1(e12,e12)) = op1(e12,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_17_419,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_17_420,plain,
( op1(e12,e12) != e13
| op1(e12,op1(e12,e12)) = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,op1(e12,e12))) )],[refute_17_418,refute_17_419]) ).
cnf(refute_17_421,plain,
op1(e12,op1(e12,e12)) = op1(e12,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_420]) ).
cnf(refute_17_422,plain,
( e11 != op1(e12,op1(e12,e12))
| op1(e12,op1(e12,e12)) != op1(e12,e13)
| e11 = op1(e12,e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e11,op1(e12,e13)) ),[0],$fot(op1(e12,op1(e12,e12)))]]) ).
cnf(refute_17_423,plain,
( e11 != op1(e12,op1(e12,e12))
| e11 = op1(e12,e13) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e12)),op1(e12,e13)) )],[refute_17_421,refute_17_422]) ).
cnf(refute_17_424,plain,
e11 = op1(e12,e13),
inference(resolve,[$cnf( $equal(e11,op1(e12,op1(e12,e12))) )],[refute_17_22,refute_17_423]) ).
cnf(refute_17_425,plain,
( e11 != op1(e12,e13)
| op1(e12,e13) = e11 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e11)),bind(Y,$fot(op1(e12,e13)))]]) ).
cnf(refute_17_426,plain,
op1(e12,e13) = e11,
inference(resolve,[$cnf( $equal(e11,op1(e12,e13)) )],[refute_17_424,refute_17_425]) ).
cnf(refute_17_427,plain,
h3(op1(e12,e13)) = h3(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e13)))]]) ).
cnf(refute_17_428,plain,
( h3(op1(e12,e13)) != h3(op1(e12,e13))
| op1(e12,e13) != e11
| h3(op1(e12,e13)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e13)),h3(op1(e12,e13))) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_429,plain,
( op1(e12,e13) != e11
| h3(op1(e12,e13)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),h3(op1(e12,e13))) )],[refute_17_427,refute_17_428]) ).
cnf(refute_17_430,plain,
h3(op1(e12,e13)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_17_426,refute_17_429]) ).
cnf(refute_17_431,plain,
( h3(e11) != e21
| h3(op1(e12,e13)) != h3(e11)
| h3(op1(e12,e13)) = e21 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e12,e13)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_432,plain,
( h3(e11) != e21
| h3(op1(e12,e13)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),h3(e11)) )],[refute_17_430,refute_17_431]) ).
cnf(refute_17_433,plain,
h3(op1(e12,e13)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_432]) ).
cnf(refute_17_434,plain,
( e21 != op2(h3(e12),h3(e13))
| h3(op1(e12,e13)) != e21
| h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e13)),e21) ),[1],$fot(op2(h3(e12),h3(e13)))]]) ).
cnf(refute_17_435,plain,
( e21 != op2(h3(e12),h3(e13))
| h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),e21) )],[refute_17_433,refute_17_434]) ).
cnf(refute_17_436,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_17_437,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_438,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_17_436,refute_17_437]) ).
cnf(refute_17_439,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_438]) ).
cnf(refute_17_440,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_17_441,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_17_439,refute_17_440]) ).
cnf(refute_17_442,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_17_81,refute_17_441]) ).
cnf(refute_17_443,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_17_444,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_17_442,refute_17_443]) ).
cnf(refute_17_445,plain,
op2(e22,h3(e13)) = op2(e22,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e13)))]]) ).
cnf(refute_17_446,plain,
( h3(e13) != e23
| op2(e22,h3(e13)) != op2(e22,h3(e13))
| op2(e22,h3(e13)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_447,plain,
( h3(e13) != e23
| op2(e22,h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,h3(e13))) )],[refute_17_445,refute_17_446]) ).
cnf(refute_17_448,plain,
op2(h3(e12),h3(e13)) = op2(h3(e12),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e13)))]]) ).
cnf(refute_17_449,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e13)) != op2(h3(e12),h3(e13))
| op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_450,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e13)) = op2(e22,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(h3(e12),h3(e13))) )],[refute_17_448,refute_17_449]) ).
cnf(refute_17_451,plain,
op2(h3(e12),h3(e13)) = op2(e22,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_450]) ).
cnf(refute_17_452,plain,
( op2(e22,h3(e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) != op2(e22,h3(e13))
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e13)))),bind(Y,$fot(op2(e22,h3(e13)))),bind(Z,$fot(op2(e22,e23)))]]) ).
cnf(refute_17_453,plain,
( op2(e22,h3(e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,h3(e13))) )],[refute_17_451,refute_17_452]) ).
cnf(refute_17_454,plain,
( h3(e13) != e23
| op2(h3(e12),h3(e13)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e13)),op2(e22,e23)) )],[refute_17_447,refute_17_453]) ).
cnf(refute_17_455,plain,
( op2(e22,e23) != e21
| op2(h3(e12),h3(e13)) != op2(e22,e23)
| op2(h3(e12),h3(e13)) = e21 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e13)))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_456,plain,
( h3(e13) != e23
| op2(e22,e23) != e21
| op2(h3(e12),h3(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),op2(e22,e23)) )],[refute_17_454,refute_17_455]) ).
cnf(refute_17_457,plain,
( h3(e13) != e23
| op2(h3(e12),h3(e13)) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_444,refute_17_456]) ).
cnf(refute_17_458,plain,
( e21 != e21
| op2(h3(e12),h3(e13)) != e21
| e21 = op2(h3(e12),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(h3(e12),h3(e13))) ),[1],$fot(e21)]]) ).
cnf(refute_17_459,plain,
( e21 != e21
| h3(e13) != e23
| e21 = op2(h3(e12),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e13)),e21) )],[refute_17_457,refute_17_458]) ).
cnf(refute_17_460,plain,
( e21 != e21
| h3(e13) != e23
| h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
inference(resolve,[$cnf( $equal(e21,op2(h3(e12),h3(e13))) )],[refute_17_459,refute_17_435]) ).
cnf(refute_17_461,plain,
( e20 != e20
| e21 != e21
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e13)),op2(h3(e12),h3(e13))) )],[refute_17_460,refute_17_417]) ).
cnf(refute_17_462,plain,
h3(op1(e12,e12)) = h3(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e12)))]]) ).
cnf(refute_17_463,plain,
( h3(op1(e12,e12)) != h3(op1(e12,e12))
| op1(e12,e12) != e13
| h3(op1(e12,e12)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_17_464,plain,
( op1(e12,e12) != e13
| h3(op1(e12,e12)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(op1(e12,e12))) )],[refute_17_462,refute_17_463]) ).
cnf(refute_17_465,plain,
h3(op1(e12,e12)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_464]) ).
cnf(refute_17_466,plain,
( h3(e13) != e23
| h3(op1(e12,e12)) != h3(e13)
| h3(op1(e12,e12)) = e23 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e12,e12)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_17_467,plain,
( h3(e13) != e23
| h3(op1(e12,e12)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),h3(e13)) )],[refute_17_465,refute_17_466]) ).
cnf(refute_17_468,plain,
( e23 != op2(h3(e12),h3(e12))
| h3(op1(e12,e12)) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e12)),e23) ),[1],$fot(op2(h3(e12),h3(e12)))]]) ).
cnf(refute_17_469,plain,
( e23 != op2(h3(e12),h3(e12))
| h3(e13) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),e23) )],[refute_17_467,refute_17_468]) ).
cnf(refute_17_470,plain,
op2(e22,h3(e12)) = op2(e22,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e12)))]]) ).
cnf(refute_17_471,plain,
( h3(e12) != e22
| op2(e22,h3(e12)) != op2(e22,h3(e12))
| op2(e22,h3(e12)) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_17_472,plain,
( h3(e12) != e22
| op2(e22,h3(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,h3(e12))) )],[refute_17_470,refute_17_471]) ).
cnf(refute_17_473,plain,
op2(e22,h3(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_472]) ).
cnf(refute_17_474,plain,
op2(h3(e12),h3(e12)) = op2(h3(e12),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e12)))]]) ).
cnf(refute_17_475,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e12)) != op2(h3(e12),h3(e12))
| op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_476,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e12)) = op2(e22,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(h3(e12),h3(e12))) )],[refute_17_474,refute_17_475]) ).
cnf(refute_17_477,plain,
op2(h3(e12),h3(e12)) = op2(e22,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_476]) ).
cnf(refute_17_478,plain,
( op2(e22,h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) != op2(e22,h3(e12))
| op2(h3(e12),h3(e12)) = op2(e22,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,h3(e12)))),bind(Z,$fot(op2(e22,e22)))]]) ).
cnf(refute_17_479,plain,
( op2(e22,h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,h3(e12))) )],[refute_17_477,refute_17_478]) ).
cnf(refute_17_480,plain,
op2(h3(e12),h3(e12)) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e22,h3(e12)),op2(e22,e22)) )],[refute_17_473,refute_17_479]) ).
cnf(refute_17_481,plain,
( op2(e22,e22) != e23
| op2(h3(e12),h3(e12)) != op2(e22,e22)
| op2(h3(e12),h3(e12)) = e23 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e12)))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_17_482,plain,
( op2(e22,e22) != e23
| op2(h3(e12),h3(e12)) = e23 ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),op2(e22,e22)) )],[refute_17_480,refute_17_481]) ).
cnf(refute_17_483,plain,
op2(h3(e12),h3(e12)) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_482]) ).
cnf(refute_17_484,plain,
( e23 != e23
| op2(h3(e12),h3(e12)) != e23
| e23 = op2(h3(e12),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,op2(h3(e12),h3(e12))) ),[1],$fot(e23)]]) ).
cnf(refute_17_485,plain,
( e23 != e23
| e23 = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e12)),e23) )],[refute_17_483,refute_17_484]) ).
cnf(refute_17_486,plain,
( e23 != e23
| h3(e13) != e23
| h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
inference(resolve,[$cnf( $equal(e23,op2(h3(e12),h3(e12))) )],[refute_17_485,refute_17_469]) ).
cnf(refute_17_487,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e12)),op2(h3(e12),h3(e12))) )],[refute_17_486,refute_17_461]) ).
cnf(refute_17_488,plain,
op1(op1(e12,e12),e13) = op1(e12,op1(e12,e13)),
inference(canonicalize,[],[normalize_17_44]) ).
cnf(refute_17_489,plain,
op1(op1(e12,e12),e13) = op1(op1(e12,e12),e13),
introduced(tautology,[refl,[$fot(op1(op1(e12,e12),e13))]]) ).
cnf(refute_17_490,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) != op1(op1(e12,e12),e13)
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_17_491,plain,
( op1(e12,e12) != e13
| op1(op1(e12,e12),e13) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(op1(e12,e12),e13)) )],[refute_17_489,refute_17_490]) ).
cnf(refute_17_492,plain,
op1(op1(e12,e12),e13) = op1(e13,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_491]) ).
cnf(refute_17_493,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(op1(e12,e12),e13) != op1(e13,e13)
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_17_494,plain,
( op1(op1(e12,e12),e13) != op1(e12,op1(e12,e13))
| op1(e13,e13) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e13,e13)) )],[refute_17_492,refute_17_493]) ).
cnf(refute_17_495,plain,
op1(e13,e13) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e12,e12),e13),op1(e12,op1(e12,e13))) )],[refute_17_488,refute_17_494]) ).
cnf(refute_17_496,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) ),[0],$fot(op1(e11,e12))]]) ).
cnf(refute_17_497,plain,
( op1(e13,e13) != op1(e12,op1(e12,e13))
| op1(e11,e12) = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_17_181,refute_17_496]) ).
cnf(refute_17_498,plain,
op1(e11,e12) = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e12,op1(e12,e13))) )],[refute_17_495,refute_17_497]) ).
cnf(refute_17_499,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) ),[0],$fot(e10)]]) ).
cnf(refute_17_500,plain,
( op1(e11,e12) != op1(e12,op1(e12,e13))
| e10 = op1(e12,op1(e12,e13)) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_499]) ).
cnf(refute_17_501,plain,
e10 = op1(e12,op1(e12,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e12,op1(e12,e13))) )],[refute_17_498,refute_17_500]) ).
cnf(refute_17_502,plain,
op1(e12,op1(e12,e13)) = op1(e12,op1(e12,e13)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_17_503,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_17_504,plain,
( op1(e12,e13) != e11
| op1(e12,op1(e12,e13)) = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,op1(e12,e13))) )],[refute_17_502,refute_17_503]) ).
cnf(refute_17_505,plain,
op1(e12,op1(e12,e13)) = op1(e12,e11),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_17_426,refute_17_504]) ).
cnf(refute_17_506,plain,
( e10 != op1(e12,op1(e12,e13))
| op1(e12,op1(e12,e13)) != op1(e12,e11)
| e10 = op1(e12,e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,op1(e12,e11)) ),[0],$fot(op1(e12,op1(e12,e13)))]]) ).
cnf(refute_17_507,plain,
( e10 != op1(e12,op1(e12,e13))
| e10 = op1(e12,e11) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e12,e13)),op1(e12,e11)) )],[refute_17_505,refute_17_506]) ).
cnf(refute_17_508,plain,
e10 = op1(e12,e11),
inference(resolve,[$cnf( $equal(e10,op1(e12,op1(e12,e13))) )],[refute_17_501,refute_17_507]) ).
cnf(refute_17_509,plain,
( e10 != op1(e12,e11)
| op1(e12,e11) = e10 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e10)),bind(Y,$fot(op1(e12,e11)))]]) ).
cnf(refute_17_510,plain,
op1(e12,e11) = e10,
inference(resolve,[$cnf( $equal(e10,op1(e12,e11)) )],[refute_17_508,refute_17_509]) ).
cnf(refute_17_511,plain,
h3(op1(e12,e11)) = h3(op1(e12,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e11)))]]) ).
cnf(refute_17_512,plain,
( h3(op1(e12,e11)) != h3(op1(e12,e11))
| op1(e12,e11) != e10
| h3(op1(e12,e11)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e11)),h3(op1(e12,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_513,plain,
( op1(e12,e11) != e10
| h3(op1(e12,e11)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),h3(op1(e12,e11))) )],[refute_17_511,refute_17_512]) ).
cnf(refute_17_514,plain,
h3(op1(e12,e11)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_17_510,refute_17_513]) ).
cnf(refute_17_515,plain,
( h3(e10) != e20
| h3(op1(e12,e11)) != h3(e10)
| h3(op1(e12,e11)) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e12,e11)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_516,plain,
( h3(e10) != e20
| h3(op1(e12,e11)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),h3(e10)) )],[refute_17_514,refute_17_515]) ).
cnf(refute_17_517,plain,
h3(op1(e12,e11)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_516]) ).
cnf(refute_17_518,plain,
( e20 != op2(h3(e12),h3(e11))
| h3(op1(e12,e11)) != e20
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e11)),e20) ),[1],$fot(op2(h3(e12),h3(e11)))]]) ).
cnf(refute_17_519,plain,
( e20 != op2(h3(e12),h3(e11))
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),e20) )],[refute_17_517,refute_17_518]) ).
cnf(refute_17_520,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_17_45]) ).
cnf(refute_17_521,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_17_522,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_17_523,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_17_521,refute_17_522]) ).
cnf(refute_17_524,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_523]) ).
cnf(refute_17_525,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_17_526,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_17_524,refute_17_525]) ).
cnf(refute_17_527,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_95,refute_17_526]) ).
cnf(refute_17_528,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_17_529,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_17_527,refute_17_528]) ).
cnf(refute_17_530,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_17_520,refute_17_529]) ).
cnf(refute_17_531,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_17_532,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_531]) ).
cnf(refute_17_533,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_17_530,refute_17_532]) ).
cnf(refute_17_534,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_17_535,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_536,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_17_534,refute_17_535]) ).
cnf(refute_17_537,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_444,refute_17_536]) ).
cnf(refute_17_538,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_17_539,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_17_537,refute_17_538]) ).
cnf(refute_17_540,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_17_533,refute_17_539]) ).
cnf(refute_17_541,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_17_542,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_17_540,refute_17_541]) ).
cnf(refute_17_543,plain,
op2(e22,h3(e11)) = op2(e22,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e11)))]]) ).
cnf(refute_17_544,plain,
( h3(e11) != e21
| op2(e22,h3(e11)) != op2(e22,h3(e11))
| op2(e22,h3(e11)) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_545,plain,
( h3(e11) != e21
| op2(e22,h3(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,h3(e11))) )],[refute_17_543,refute_17_544]) ).
cnf(refute_17_546,plain,
op2(e22,h3(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_545]) ).
cnf(refute_17_547,plain,
op2(h3(e12),h3(e11)) = op2(h3(e12),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e11)))]]) ).
cnf(refute_17_548,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e11)) != op2(h3(e12),h3(e11))
| op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_549,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e11)) = op2(e22,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(h3(e12),h3(e11))) )],[refute_17_547,refute_17_548]) ).
cnf(refute_17_550,plain,
op2(h3(e12),h3(e11)) = op2(e22,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_549]) ).
cnf(refute_17_551,plain,
( op2(e22,h3(e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) != op2(e22,h3(e11))
| op2(h3(e12),h3(e11)) = op2(e22,e21) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e11)))),bind(Y,$fot(op2(e22,h3(e11)))),bind(Z,$fot(op2(e22,e21)))]]) ).
cnf(refute_17_552,plain,
( op2(e22,h3(e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,h3(e11))) )],[refute_17_550,refute_17_551]) ).
cnf(refute_17_553,plain,
op2(h3(e12),h3(e11)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,h3(e11)),op2(e22,e21)) )],[refute_17_546,refute_17_552]) ).
cnf(refute_17_554,plain,
( op2(e22,e21) != e20
| op2(h3(e12),h3(e11)) != op2(e22,e21)
| op2(h3(e12),h3(e11)) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e11)))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_555,plain,
( op2(e22,e21) != e20
| op2(h3(e12),h3(e11)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),op2(e22,e21)) )],[refute_17_553,refute_17_554]) ).
cnf(refute_17_556,plain,
op2(h3(e12),h3(e11)) = e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_17_542,refute_17_555]) ).
cnf(refute_17_557,plain,
( e20 != e20
| op2(h3(e12),h3(e11)) != e20
| e20 = op2(h3(e12),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h3(e12),h3(e11))) ),[1],$fot(e20)]]) ).
cnf(refute_17_558,plain,
( e20 != e20
| e20 = op2(h3(e12),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e11)),e20) )],[refute_17_556,refute_17_557]) ).
cnf(refute_17_559,plain,
( e20 != e20
| h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
inference(resolve,[$cnf( $equal(e20,op2(h3(e12),h3(e11))) )],[refute_17_558,refute_17_519]) ).
cnf(refute_17_560,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e11)),op2(h3(e12),h3(e11))) )],[refute_17_559,refute_17_487]) ).
cnf(refute_17_561,plain,
op1(op1(e12,e11),e12) = op1(e12,op1(e11,e12)),
inference(canonicalize,[],[normalize_17_46]) ).
cnf(refute_17_562,plain,
op1(e12,op1(e11,e12)) = op1(e12,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e12,op1(e11,e12)))]]) ).
cnf(refute_17_563,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) != op1(e12,op1(e11,e12))
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_564,plain,
( op1(e11,e12) != e10
| op1(e12,op1(e11,e12)) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,op1(e11,e12))) )],[refute_17_562,refute_17_563]) ).
cnf(refute_17_565,plain,
op1(e12,op1(e11,e12)) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_564]) ).
cnf(refute_17_566,plain,
( op1(e12,op1(e11,e12)) != op1(e12,e10)
| op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) ),[1],$fot(op1(e12,e10))]]) ).
cnf(refute_17_567,plain,
( op1(op1(e12,e11),e12) != op1(e12,op1(e11,e12))
| op1(op1(e12,e11),e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,op1(e11,e12)),op1(e12,e10)) )],[refute_17_565,refute_17_566]) ).
cnf(refute_17_568,plain,
op1(op1(e12,e11),e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,op1(e11,e12))) )],[refute_17_561,refute_17_567]) ).
cnf(refute_17_569,plain,
op1(op1(e12,e11),e12) = op1(op1(e12,e11),e12),
introduced(tautology,[refl,[$fot(op1(op1(e12,e11),e12))]]) ).
cnf(refute_17_570,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) != op1(op1(e12,e11),e12)
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_571,plain,
( op1(e12,e11) != e10
| op1(op1(e12,e11),e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(op1(e12,e11),e12)) )],[refute_17_569,refute_17_570]) ).
cnf(refute_17_572,plain,
op1(op1(e12,e11),e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_17_510,refute_17_571]) ).
cnf(refute_17_573,plain,
( op1(op1(e12,e11),e12) != op1(e10,e12)
| op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_574,plain,
( op1(op1(e12,e11),e12) != op1(e12,e10)
| op1(e10,e12) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e10,e12)) )],[refute_17_572,refute_17_573]) ).
cnf(refute_17_575,plain,
op1(e10,e12) = op1(e12,e10),
inference(resolve,[$cnf( $equal(op1(op1(e12,e11),e12),op1(e12,e10)) )],[refute_17_568,refute_17_574]) ).
cnf(refute_17_576,plain,
( op1(e10,e12) != op1(e12,e10)
| op1(e12,e10) = op1(e10,e12) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e12))),bind(Y,$fot(op1(e12,e10)))]]) ).
cnf(refute_17_577,plain,
op1(e12,e10) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e10)) )],[refute_17_575,refute_17_576]) ).
cnf(refute_17_578,plain,
h3(op1(e12,e10)) = h3(op1(e12,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e12,e10)))]]) ).
cnf(refute_17_579,plain,
( h3(op1(e12,e10)) != h3(op1(e12,e10))
| op1(e12,e10) != op1(e10,e12)
| h3(op1(e12,e10)) = h3(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_580,plain,
( op1(e12,e10) != op1(e10,e12)
| h3(op1(e12,e10)) = h3(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e12,e10))) )],[refute_17_578,refute_17_579]) ).
cnf(refute_17_581,plain,
h3(op1(e12,e10)) = h3(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_17_577,refute_17_580]) ).
cnf(refute_17_582,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e12,e10)) != h3(op1(e10,e12))
| h3(op1(e12,e10)) = op2(e20,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e12,e10)))),bind(Y,$fot(h3(op1(e10,e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_17_583,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e12,e10)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),h3(op1(e10,e12))) )],[refute_17_581,refute_17_582]) ).
cnf(refute_17_584,plain,
( h3(op1(e12,e10)) != op2(e20,e22)
| op2(e20,e22) != op2(h3(e12),h3(e10))
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_585,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e22) != op2(h3(e12),h3(e10))
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(e20,e22)) )],[refute_17_583,refute_17_584]) ).
cnf(refute_17_586,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(canonicalize,[],[normalize_17_47]) ).
cnf(refute_17_587,plain,
op2(e22,op2(e21,e22)) = op2(e22,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e22)))]]) ).
cnf(refute_17_588,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) != op2(e22,op2(e21,e22))
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_17_589,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) )],[refute_17_587,refute_17_588]) ).
cnf(refute_17_590,plain,
op2(e22,op2(e21,e22)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_17_106,refute_17_589]) ).
cnf(refute_17_591,plain,
( op2(e22,op2(e21,e22)) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) ),[1],$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_17_592,plain,
( op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,h4(e13))) )],[refute_17_590,refute_17_591]) ).
cnf(refute_17_593,plain,
op2(op2(e22,e21),e22) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) )],[refute_17_586,refute_17_592]) ).
cnf(refute_17_594,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_17_595,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) != op2(e22,h4(e13))
| op2(e22,h4(e13)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_596,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_17_594,refute_17_595]) ).
cnf(refute_17_597,plain,
op2(e22,h4(e13)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_596]) ).
cnf(refute_17_598,plain,
( op2(e22,h4(e13)) != op2(e22,e20)
| op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_17_599,plain,
( op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e20)) )],[refute_17_597,refute_17_598]) ).
cnf(refute_17_600,plain,
op2(op2(e22,e21),e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) )],[refute_17_593,refute_17_599]) ).
cnf(refute_17_601,plain,
op2(op2(e22,e21),e22) = op2(op2(e22,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e22))]]) ).
cnf(refute_17_602,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) != op2(op2(e22,e21),e22)
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_603,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) )],[refute_17_601,refute_17_602]) ).
cnf(refute_17_604,plain,
op2(op2(e22,e21),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_17_542,refute_17_603]) ).
cnf(refute_17_605,plain,
( op2(op2(e22,e21),e22) != op2(e20,e22)
| op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_606,plain,
( op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e20,e22)) )],[refute_17_604,refute_17_605]) ).
cnf(refute_17_607,plain,
op2(e20,e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) )],[refute_17_600,refute_17_606]) ).
cnf(refute_17_608,plain,
( op2(e20,e22) != op2(e22,e20)
| op2(e22,e20) = op2(e20,e22) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_17_609,plain,
op2(e22,e20) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e20)) )],[refute_17_607,refute_17_608]) ).
cnf(refute_17_610,plain,
op2(e22,h3(e10)) = op2(e22,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e22,h3(e10)))]]) ).
cnf(refute_17_611,plain,
( h3(e10) != e20
| op2(e22,h3(e10)) != op2(e22,h3(e10))
| op2(e22,h3(e10)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_612,plain,
( h3(e10) != e20
| op2(e22,h3(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,h3(e10))) )],[refute_17_610,refute_17_611]) ).
cnf(refute_17_613,plain,
op2(e22,h3(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_612]) ).
cnf(refute_17_614,plain,
op2(h3(e12),h3(e10)) = op2(h3(e12),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e12),h3(e10)))]]) ).
cnf(refute_17_615,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e10)) != op2(h3(e12),h3(e10))
| op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_616,plain,
( h3(e12) != e22
| op2(h3(e12),h3(e10)) = op2(e22,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(h3(e12),h3(e10))) )],[refute_17_614,refute_17_615]) ).
cnf(refute_17_617,plain,
op2(h3(e12),h3(e10)) = op2(e22,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_616]) ).
cnf(refute_17_618,plain,
( op2(e22,h3(e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) != op2(e22,h3(e10))
| op2(h3(e12),h3(e10)) = op2(e22,e20) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e10)))),bind(Y,$fot(op2(e22,h3(e10)))),bind(Z,$fot(op2(e22,e20)))]]) ).
cnf(refute_17_619,plain,
( op2(e22,h3(e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,h3(e10))) )],[refute_17_617,refute_17_618]) ).
cnf(refute_17_620,plain,
op2(h3(e12),h3(e10)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(e22,h3(e10)),op2(e22,e20)) )],[refute_17_613,refute_17_619]) ).
cnf(refute_17_621,plain,
( op2(e22,e20) != op2(e20,e22)
| op2(h3(e12),h3(e10)) != op2(e22,e20)
| op2(h3(e12),h3(e10)) = op2(e20,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e12),h3(e10)))),bind(Y,$fot(op2(e22,e20))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_17_622,plain,
( op2(e22,e20) != op2(e20,e22)
| op2(h3(e12),h3(e10)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e22,e20)) )],[refute_17_620,refute_17_621]) ).
cnf(refute_17_623,plain,
op2(h3(e12),h3(e10)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e20,e22)) )],[refute_17_609,refute_17_622]) ).
cnf(refute_17_624,plain,
( op2(e20,e22) != op2(e20,e22)
| op2(h3(e12),h3(e10)) != op2(e20,e22)
| op2(e20,e22) = op2(h3(e12),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(h3(e12),h3(e10))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_17_625,plain,
( op2(e20,e22) != op2(e20,e22)
| op2(e20,e22) = op2(h3(e12),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e12),h3(e10)),op2(e20,e22)) )],[refute_17_623,refute_17_624]) ).
cnf(refute_17_626,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e22) != op2(e20,e22)
| h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(h3(e12),h3(e10))) )],[refute_17_625,refute_17_585]) ).
cnf(refute_17_627,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e12,e10)),op2(h3(e12),h3(e10))) )],[refute_17_626,refute_17_560]) ).
cnf(refute_17_628,plain,
h3(op1(e11,e13)) = h3(op1(e11,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e13)))]]) ).
cnf(refute_17_629,plain,
( h3(op1(e11,e13)) != h3(op1(e11,e13))
| op1(e11,e13) != op1(e10,e12)
| h3(op1(e11,e13)) = h3(op1(e10,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) ),[1,0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_630,plain,
( op1(e11,e13) != op1(e10,e12)
| h3(op1(e11,e13)) = h3(op1(e10,e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e11,e13))) )],[refute_17_628,refute_17_629]) ).
cnf(refute_17_631,plain,
h3(op1(e11,e13)) = h3(op1(e10,e12)),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_17_207,refute_17_630]) ).
cnf(refute_17_632,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e13)) != h3(op1(e10,e12))
| h3(op1(e11,e13)) = op2(e20,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e11,e13)))),bind(Y,$fot(h3(op1(e10,e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_17_633,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e11,e13)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),h3(op1(e10,e12))) )],[refute_17_631,refute_17_632]) ).
cnf(refute_17_634,plain,
( h3(op1(e11,e13)) != op2(e20,e22)
| op2(e20,e22) != op2(h3(e11),h3(e13))
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_635,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e22) != op2(h3(e11),h3(e13))
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),op2(e20,e22)) )],[refute_17_633,refute_17_634]) ).
cnf(refute_17_636,plain,
op2(e21,h3(e13)) = op2(e21,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e13)))]]) ).
cnf(refute_17_637,plain,
( h3(e13) != e23
| op2(e21,h3(e13)) != op2(e21,h3(e13))
| op2(e21,h3(e13)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_638,plain,
( h3(e13) != e23
| op2(e21,h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,h3(e13))) )],[refute_17_636,refute_17_637]) ).
cnf(refute_17_639,plain,
op2(h3(e11),h3(e13)) = op2(h3(e11),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e13)))]]) ).
cnf(refute_17_640,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e13)) != op2(h3(e11),h3(e13))
| op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_17_641,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e13)) = op2(e21,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(h3(e11),h3(e13))) )],[refute_17_639,refute_17_640]) ).
cnf(refute_17_642,plain,
op2(h3(e11),h3(e13)) = op2(e21,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_641]) ).
cnf(refute_17_643,plain,
( op2(e21,h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) != op2(e21,h3(e13))
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e13)))),bind(Y,$fot(op2(e21,h3(e13)))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_17_644,plain,
( op2(e21,h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,h3(e13))) )],[refute_17_642,refute_17_643]) ).
cnf(refute_17_645,plain,
( h3(e13) != e23
| op2(h3(e11),h3(e13)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e13)),op2(e21,e23)) )],[refute_17_638,refute_17_644]) ).
cnf(refute_17_646,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(h3(e11),h3(e13)) != op2(e21,e23)
| op2(h3(e11),h3(e13)) = op2(e20,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e13)))),bind(Y,$fot(op2(e21,e23))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_17_647,plain,
( h3(e13) != e23
| op2(e21,e23) != op2(e20,e22)
| op2(h3(e11),h3(e13)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e21,e23)) )],[refute_17_645,refute_17_646]) ).
cnf(refute_17_648,plain,
( h3(e13) != e23
| op2(h3(e11),h3(e13)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_17_260,refute_17_647]) ).
cnf(refute_17_649,plain,
( op2(e20,e22) != op2(e20,e22)
| op2(h3(e11),h3(e13)) != op2(e20,e22)
| op2(e20,e22) = op2(h3(e11),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(h3(e11),h3(e13))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_17_650,plain,
( h3(e13) != e23
| op2(e20,e22) != op2(e20,e22)
| op2(e20,e22) = op2(h3(e11),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e13)),op2(e20,e22)) )],[refute_17_648,refute_17_649]) ).
cnf(refute_17_651,plain,
( h3(e13) != e23
| h3(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e22) != op2(e20,e22)
| h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(h3(e11),h3(e13))) )],[refute_17_650,refute_17_635]) ).
cnf(refute_17_652,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e13)),op2(h3(e11),h3(e13))) )],[refute_17_651,refute_17_627]) ).
cnf(refute_17_653,plain,
h3(op1(e11,e12)) = h3(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e12)))]]) ).
cnf(refute_17_654,plain,
( h3(op1(e11,e12)) != h3(op1(e11,e12))
| op1(e11,e12) != e10
| h3(op1(e11,e12)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_655,plain,
( op1(e11,e12) != e10
| h3(op1(e11,e12)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(op1(e11,e12))) )],[refute_17_653,refute_17_654]) ).
cnf(refute_17_656,plain,
h3(op1(e11,e12)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_655]) ).
cnf(refute_17_657,plain,
( h3(e10) != e20
| h3(op1(e11,e12)) != h3(e10)
| h3(op1(e11,e12)) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e11,e12)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_658,plain,
( h3(e10) != e20
| h3(op1(e11,e12)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),h3(e10)) )],[refute_17_656,refute_17_657]) ).
cnf(refute_17_659,plain,
h3(op1(e11,e12)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_658]) ).
cnf(refute_17_660,plain,
( e20 != op2(h3(e11),h3(e12))
| h3(op1(e11,e12)) != e20
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e12)),e20) ),[1],$fot(op2(h3(e11),h3(e12)))]]) ).
cnf(refute_17_661,plain,
( e20 != op2(h3(e11),h3(e12))
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),e20) )],[refute_17_659,refute_17_660]) ).
cnf(refute_17_662,plain,
( h4(e13) != e20
| op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_17_663,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_662]) ).
cnf(refute_17_664,plain,
op2(e21,e22) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_17_106,refute_17_663]) ).
cnf(refute_17_665,plain,
op2(e21,h3(e12)) = op2(e21,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e12)))]]) ).
cnf(refute_17_666,plain,
( h3(e12) != e22
| op2(e21,h3(e12)) != op2(e21,h3(e12))
| op2(e21,h3(e12)) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_17_667,plain,
( h3(e12) != e22
| op2(e21,h3(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,h3(e12))) )],[refute_17_665,refute_17_666]) ).
cnf(refute_17_668,plain,
op2(e21,h3(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_667]) ).
cnf(refute_17_669,plain,
op2(h3(e11),h3(e12)) = op2(h3(e11),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e12)))]]) ).
cnf(refute_17_670,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e12)) != op2(h3(e11),h3(e12))
| op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_17_671,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e12)) = op2(e21,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(h3(e11),h3(e12))) )],[refute_17_669,refute_17_670]) ).
cnf(refute_17_672,plain,
op2(h3(e11),h3(e12)) = op2(e21,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_671]) ).
cnf(refute_17_673,plain,
( op2(e21,h3(e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) != op2(e21,h3(e12))
| op2(h3(e11),h3(e12)) = op2(e21,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e12)))),bind(Y,$fot(op2(e21,h3(e12)))),bind(Z,$fot(op2(e21,e22)))]]) ).
cnf(refute_17_674,plain,
( op2(e21,h3(e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,h3(e12))) )],[refute_17_672,refute_17_673]) ).
cnf(refute_17_675,plain,
op2(h3(e11),h3(e12)) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e21,h3(e12)),op2(e21,e22)) )],[refute_17_668,refute_17_674]) ).
cnf(refute_17_676,plain,
( op2(e21,e22) != e20
| op2(h3(e11),h3(e12)) != op2(e21,e22)
| op2(h3(e11),h3(e12)) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e12)))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_677,plain,
( op2(e21,e22) != e20
| op2(h3(e11),h3(e12)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),op2(e21,e22)) )],[refute_17_675,refute_17_676]) ).
cnf(refute_17_678,plain,
op2(h3(e11),h3(e12)) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_17_664,refute_17_677]) ).
cnf(refute_17_679,plain,
( e20 != e20
| op2(h3(e11),h3(e12)) != e20
| e20 = op2(h3(e11),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(h3(e11),h3(e12))) ),[1],$fot(e20)]]) ).
cnf(refute_17_680,plain,
( e20 != e20
| e20 = op2(h3(e11),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e12)),e20) )],[refute_17_678,refute_17_679]) ).
cnf(refute_17_681,plain,
( e20 != e20
| h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
inference(resolve,[$cnf( $equal(e20,op2(h3(e11),h3(e12))) )],[refute_17_680,refute_17_661]) ).
cnf(refute_17_682,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e12)),op2(h3(e11),h3(e12))) )],[refute_17_681,refute_17_652]) ).
cnf(refute_17_683,plain,
h3(op1(e11,e11)) = h3(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e11)))]]) ).
cnf(refute_17_684,plain,
( h3(op1(e11,e11)) != h3(op1(e11,e11))
| op1(e11,e11) != op1(e10,e13)
| h3(op1(e11,e11)) = h3(op1(e10,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) ),[1,0],$fot(op1(e10,e13))]]) ).
cnf(refute_17_685,plain,
( op1(e11,e11) != op1(e10,e13)
| h3(op1(e11,e11)) = h3(op1(e10,e13)) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e11,e11))) )],[refute_17_683,refute_17_684]) ).
cnf(refute_17_686,plain,
h3(op1(e11,e11)) = h3(op1(e10,e13)),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e10,e13)) )],[refute_17_339,refute_17_685]) ).
cnf(refute_17_687,plain,
( h3(op1(e10,e13)) != h2(e13)
| h3(op1(e11,e11)) != h3(op1(e10,e13))
| h3(op1(e11,e11)) = h2(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e11,e11)))),bind(Y,$fot(h3(op1(e10,e13)))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_17_688,plain,
( h3(op1(e10,e13)) != h2(e13)
| h3(op1(e11,e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h3(op1(e10,e13))) )],[refute_17_686,refute_17_687]) ).
cnf(refute_17_689,plain,
( h2(e13) != op2(h3(e11),h3(e11))
| h3(op1(e11,e11)) != h2(e13)
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e11)),h2(e13)) ),[1],$fot(op2(h3(e11),h3(e11)))]]) ).
cnf(refute_17_690,plain,
( h2(e13) != op2(h3(e11),h3(e11))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),h2(e13)) )],[refute_17_688,refute_17_689]) ).
cnf(refute_17_691,plain,
op2(e21,h3(e11)) = op2(e21,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e11)))]]) ).
cnf(refute_17_692,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) != op2(e21,h3(e11))
| op2(e21,h3(e11)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_693,plain,
( h3(e11) != e21
| op2(e21,h3(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,h3(e11))) )],[refute_17_691,refute_17_692]) ).
cnf(refute_17_694,plain,
op2(e21,h3(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_693]) ).
cnf(refute_17_695,plain,
op2(h3(e11),h3(e11)) = op2(h3(e11),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e11)))]]) ).
cnf(refute_17_696,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) != op2(h3(e11),h3(e11))
| op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) ),[1,0],$fot(e21)]]) ).
cnf(refute_17_697,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e11)) = op2(e21,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(h3(e11),h3(e11))) )],[refute_17_695,refute_17_696]) ).
cnf(refute_17_698,plain,
op2(h3(e11),h3(e11)) = op2(e21,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_697]) ).
cnf(refute_17_699,plain,
( op2(e21,h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) != op2(e21,h3(e11))
| op2(h3(e11),h3(e11)) = op2(e21,e21) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,h3(e11)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_17_700,plain,
( op2(e21,h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,h3(e11))) )],[refute_17_698,refute_17_699]) ).
cnf(refute_17_701,plain,
op2(h3(e11),h3(e11)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h3(e11)),op2(e21,e21)) )],[refute_17_694,refute_17_700]) ).
cnf(refute_17_702,plain,
( op2(e21,e21) != h2(e13)
| op2(h3(e11),h3(e11)) != op2(e21,e21)
| op2(h3(e11),h3(e11)) = h2(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e11)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_17_703,plain,
( op2(e21,e21) != h2(e13)
| op2(h3(e11),h3(e11)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),op2(e21,e21)) )],[refute_17_701,refute_17_702]) ).
cnf(refute_17_704,plain,
op2(h3(e11),h3(e11)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_17_369,refute_17_703]) ).
cnf(refute_17_705,plain,
( h2(e13) != h2(e13)
| op2(h3(e11),h3(e11)) != h2(e13)
| h2(e13) = op2(h3(e11),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h3(e11),h3(e11))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_17_706,plain,
( h2(e13) != h2(e13)
| h2(e13) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e11)),h2(e13)) )],[refute_17_704,refute_17_705]) ).
cnf(refute_17_707,plain,
( h2(e13) != h2(e13)
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h3(e11),h3(e11))) )],[refute_17_706,refute_17_690]) ).
cnf(refute_17_708,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e11)),op2(h3(e11),h3(e11))) )],[refute_17_707,refute_17_682]) ).
cnf(refute_17_709,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e12,e11)),
inference(canonicalize,[],[normalize_17_48]) ).
cnf(refute_17_710,plain,
op1(op1(e13,e13),e11) = op1(e13,op1(e13,e11)),
inference(canonicalize,[],[normalize_17_49]) ).
cnf(refute_17_711,plain,
op1(op1(e13,e13),e11) = op1(op1(e13,e13),e11),
introduced(tautology,[refl,[$fot(op1(op1(e13,e13),e11))]]) ).
cnf(refute_17_712,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) != op1(op1(e13,e13),e11)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) ),[1,0],$fot(op1(e11,e12))]]) ).
cnf(refute_17_713,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e13,e13),e11)) )],[refute_17_711,refute_17_712]) ).
cnf(refute_17_714,plain,
op1(op1(e13,e13),e11) = op1(op1(e11,e12),e11),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_17_181,refute_17_713]) ).
cnf(refute_17_715,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(op1(e11,e12),e11)
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(op1(e13,e13),e11))),bind(Y,$fot(op1(op1(e11,e12),e11))),bind(Z,$fot(op1(e11,op1(e12,e11))))]]) ).
cnf(refute_17_716,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(op1(e11,e12),e11)) )],[refute_17_714,refute_17_715]) ).
cnf(refute_17_717,plain,
op1(op1(e13,e13),e11) = op1(e11,op1(e12,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_17_709,refute_17_716]) ).
cnf(refute_17_718,plain,
( op1(op1(e13,e13),e11) != op1(e11,op1(e12,e11))
| op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) ),[0],$fot(op1(e11,op1(e12,e11)))]]) ).
cnf(refute_17_719,plain,
( op1(op1(e13,e13),e11) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e11,op1(e12,e11))) )],[refute_17_717,refute_17_718]) ).
cnf(refute_17_720,plain,
op1(e11,op1(e12,e11)) = op1(e13,op1(e13,e11)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e13),e11),op1(e13,op1(e13,e11))) )],[refute_17_710,refute_17_719]) ).
cnf(refute_17_721,plain,
op1(op1(e13,e11),e13) = op1(e13,op1(e11,e13)),
inference(canonicalize,[],[normalize_17_50]) ).
cnf(refute_17_722,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e13,e13)),
inference(canonicalize,[],[normalize_17_51]) ).
cnf(refute_17_723,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e13,e13)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e13,e13)))]]) ).
cnf(refute_17_724,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e13,e13))
| op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) ),[1,1],$fot(op1(e11,e12))]]) ).
cnf(refute_17_725,plain,
( op1(e13,e13) != op1(e11,e12)
| op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e13,e13))) )],[refute_17_723,refute_17_724]) ).
cnf(refute_17_726,plain,
op1(e11,op1(e13,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,e13),op1(e11,e12)) )],[refute_17_181,refute_17_725]) ).
cnf(refute_17_727,plain,
( op1(e11,op1(e13,e13)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_17_728,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e13,e13))
| op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e13,e13)),op1(e11,op1(e11,e12))) )],[refute_17_726,refute_17_727]) ).
cnf(refute_17_729,plain,
op1(op1(e11,e13),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e13,e13))) )],[refute_17_722,refute_17_728]) ).
cnf(refute_17_730,plain,
op1(op1(e13,e11),e13) = op1(op1(e13,e11),e13),
introduced(tautology,[refl,[$fot(op1(op1(e13,e11),e13))]]) ).
cnf(refute_17_731,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) != op1(op1(e13,e11),e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) ),[1,0],$fot(op1(e11,e13))]]) ).
cnf(refute_17_732,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e13,e11),e13)) )],[refute_17_730,refute_17_731]) ).
cnf(refute_17_733,plain,
op1(op1(e13,e11),e13) = op1(op1(e11,e13),e13),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_17_293,refute_17_732]) ).
cnf(refute_17_734,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(op1(e11,e13),e13)
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(op1(e13,e11),e13))),bind(Y,$fot(op1(op1(e11,e13),e13))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_17_735,plain,
( op1(op1(e11,e13),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(op1(e11,e13),e13)) )],[refute_17_733,refute_17_734]) ).
cnf(refute_17_736,plain,
op1(op1(e13,e11),e13) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e13),e13),op1(e11,op1(e11,e12))) )],[refute_17_729,refute_17_735]) ).
cnf(refute_17_737,plain,
( op1(op1(e13,e11),e13) != op1(e11,op1(e11,e12))
| op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_17_738,plain,
( op1(op1(e13,e11),e13) != op1(e13,op1(e11,e13))
| op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e11,op1(e11,e12))) )],[refute_17_736,refute_17_737]) ).
cnf(refute_17_739,plain,
op1(e11,op1(e11,e12)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(op1(e13,e11),e13),op1(e13,op1(e11,e13))) )],[refute_17_721,refute_17_738]) ).
cnf(refute_17_740,plain,
( op1(e11,op1(e11,e12)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e11,op1(e11,e12)))),bind(Y,$fot(op1(e13,op1(e11,e13))))]]) ).
cnf(refute_17_741,plain,
op1(e13,op1(e11,e13)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e13,op1(e11,e13))) )],[refute_17_739,refute_17_740]) ).
cnf(refute_17_742,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e13,e11)),
introduced(tautology,[refl,[$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_17_743,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) ),[1,1],$fot(op1(e11,e13))]]) ).
cnf(refute_17_744,plain,
( op1(e13,e11) != op1(e11,e13)
| op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e13,e11))) )],[refute_17_742,refute_17_743]) ).
cnf(refute_17_745,plain,
op1(e13,op1(e13,e11)) = op1(e13,op1(e11,e13)),
inference(resolve,[$cnf( $equal(op1(e13,e11),op1(e11,e13)) )],[refute_17_293,refute_17_744]) ).
cnf(refute_17_746,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) != op1(e13,op1(e11,e13))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(e13,op1(e13,e11)))),bind(Y,$fot(op1(e13,op1(e11,e13)))),bind(Z,$fot(op1(e11,op1(e11,e12))))]]) ).
cnf(refute_17_747,plain,
( op1(e13,op1(e11,e13)) != op1(e11,op1(e11,e12))
| op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e13,op1(e11,e13))) )],[refute_17_745,refute_17_746]) ).
cnf(refute_17_748,plain,
op1(e13,op1(e13,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e13,op1(e11,e13)),op1(e11,op1(e11,e12))) )],[refute_17_741,refute_17_747]) ).
cnf(refute_17_749,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e13,op1(e13,e11)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e13,op1(e13,e11)))]]) ).
cnf(refute_17_750,plain,
( op1(e11,op1(e12,e11)) != op1(e13,op1(e13,e11))
| op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e13,op1(e13,e11)),op1(e11,op1(e11,e12))) )],[refute_17_748,refute_17_749]) ).
cnf(refute_17_751,plain,
op1(e11,op1(e12,e11)) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e13,op1(e13,e11))) )],[refute_17_720,refute_17_750]) ).
cnf(refute_17_752,plain,
( op1(e11,op1(e12,e11)) != op1(e11,op1(e11,e12))
| op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) ),[1],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_17_753,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e12,e11))
| op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e12,e11)),op1(e11,op1(e11,e12))) )],[refute_17_751,refute_17_752]) ).
cnf(refute_17_754,plain,
op1(op1(e11,e12),e11) = op1(e11,op1(e11,e12)),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e12,e11))) )],[refute_17_709,refute_17_753]) ).
cnf(refute_17_755,plain,
op1(op1(e11,e12),e11) = op1(op1(e11,e12),e11),
introduced(tautology,[refl,[$fot(op1(op1(e11,e12),e11))]]) ).
cnf(refute_17_756,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) != op1(op1(e11,e12),e11)
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_757,plain,
( op1(e11,e12) != e10
| op1(op1(e11,e12),e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(op1(e11,e12),e11)) )],[refute_17_755,refute_17_756]) ).
cnf(refute_17_758,plain,
op1(op1(e11,e12),e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_757]) ).
cnf(refute_17_759,plain,
( op1(op1(e11,e12),e11) != op1(e10,e11)
| op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_17_760,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,op1(e11,e12)) ),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e10,e11)) )],[refute_17_758,refute_17_759]) ).
cnf(refute_17_761,plain,
op1(e11,op1(e11,e12)) = op1(e11,op1(e11,e12)),
introduced(tautology,[refl,[$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_17_762,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_763,plain,
( op1(e11,e12) != e10
| op1(e11,op1(e11,e12)) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,op1(e11,e12))) )],[refute_17_761,refute_17_762]) ).
cnf(refute_17_764,plain,
op1(e11,op1(e11,e12)) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_17_52,refute_17_763]) ).
cnf(refute_17_765,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e11,op1(e11,e12)) != op1(e11,e10)
| op1(e10,e11) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e11),op1(e11,e10)) ),[0],$fot(op1(e11,op1(e11,e12)))]]) ).
cnf(refute_17_766,plain,
( op1(e10,e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,op1(e11,e12)),op1(e11,e10)) )],[refute_17_764,refute_17_765]) ).
cnf(refute_17_767,plain,
( op1(op1(e11,e12),e11) != op1(e11,op1(e11,e12))
| op1(e10,e11) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,op1(e11,e12))) )],[refute_17_760,refute_17_766]) ).
cnf(refute_17_768,plain,
op1(e10,e11) = op1(e11,e10),
inference(resolve,[$cnf( $equal(op1(op1(e11,e12),e11),op1(e11,op1(e11,e12))) )],[refute_17_754,refute_17_767]) ).
cnf(refute_17_769,plain,
( op1(e10,e11) != op1(e11,e10)
| op1(e11,e10) = op1(e10,e11) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e11,e10)))]]) ).
cnf(refute_17_770,plain,
op1(e11,e10) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e11,e10)) )],[refute_17_768,refute_17_769]) ).
cnf(refute_17_771,plain,
h3(op1(e11,e10)) = h3(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e11,e10)))]]) ).
cnf(refute_17_772,plain,
( h3(op1(e11,e10)) != h3(op1(e11,e10))
| op1(e11,e10) != op1(e10,e11)
| h3(op1(e11,e10)) = h3(op1(e10,e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) ),[1,0],$fot(op1(e10,e11))]]) ).
cnf(refute_17_773,plain,
( op1(e11,e10) != op1(e10,e11)
| h3(op1(e11,e10)) = h3(op1(e10,e11)) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e11,e10))) )],[refute_17_771,refute_17_772]) ).
cnf(refute_17_774,plain,
h3(op1(e11,e10)) = h3(op1(e10,e11)),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_17_770,refute_17_773]) ).
cnf(refute_17_775,plain,
( h3(op1(e10,e11)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e10)) != h3(op1(e10,e11))
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e10,e11))) ),[1],$fot(op2(h3(e11),h3(e10)))]]) ).
cnf(refute_17_776,plain,
( h3(op1(e10,e11)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),h3(op1(e10,e11))) )],[refute_17_774,refute_17_775]) ).
cnf(refute_17_777,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_17_52]) ).
cnf(refute_17_778,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_17_779,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_780,plain,
( op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_17_778,refute_17_779]) ).
cnf(refute_17_781,plain,
op2(e20,op2(e23,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_17_87,refute_17_780]) ).
cnf(refute_17_782,plain,
( op2(e20,op2(e23,e22)) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_17_783,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,e21)) )],[refute_17_781,refute_17_782]) ).
cnf(refute_17_784,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_17_777,refute_17_783]) ).
cnf(refute_17_785,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(canonicalize,[],[normalize_17_53]) ).
cnf(refute_17_786,plain,
op2(op2(e21,e21),e22) = op2(op2(e21,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e22))]]) ).
cnf(refute_17_787,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) != op2(op2(e21,e21),e22)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_17_788,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) )],[refute_17_786,refute_17_787]) ).
cnf(refute_17_789,plain,
op2(op2(e21,e21),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_17_369,refute_17_788]) ).
cnf(refute_17_790,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(op2(e21,e21),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) ),[0],$fot(op2(h2(e13),e22))]]) ).
cnf(refute_17_791,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(h2(e13),e22)) )],[refute_17_789,refute_17_790]) ).
cnf(refute_17_792,plain,
op2(h2(e13),e22) = op2(e21,op2(e21,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) )],[refute_17_785,refute_17_791]) ).
cnf(refute_17_793,plain,
op2(e21,op2(e21,e22)) = op2(e21,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e22)))]]) ).
cnf(refute_17_794,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) != op2(e21,op2(e21,e22))
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_17_795,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) )],[refute_17_793,refute_17_794]) ).
cnf(refute_17_796,plain,
op2(e21,op2(e21,e22)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_17_106,refute_17_795]) ).
cnf(refute_17_797,plain,
( op2(e21,op2(e21,e22)) != op2(e21,h4(e13))
| op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_17_798,plain,
( op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,h4(e13))) )],[refute_17_796,refute_17_797]) ).
cnf(refute_17_799,plain,
op2(h2(e13),e22) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) )],[refute_17_792,refute_17_798]) ).
cnf(refute_17_800,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_17_801,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_802,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_17_800,refute_17_801]) ).
cnf(refute_17_803,plain,
op2(e21,h4(e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_802]) ).
cnf(refute_17_804,plain,
( op2(e21,h4(e13)) != op2(e21,e20)
| op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_17_805,plain,
( op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_17_803,refute_17_804]) ).
cnf(refute_17_806,plain,
op2(h2(e13),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) )],[refute_17_799,refute_17_805]) ).
cnf(refute_17_807,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_17_54]) ).
cnf(refute_17_808,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_17_809,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_810,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_17_808,refute_17_809]) ).
cnf(refute_17_811,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_810]) ).
cnf(refute_17_812,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_17_813,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_17_811,refute_17_812]) ).
cnf(refute_17_814,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_17_807,refute_17_813]) ).
cnf(refute_17_815,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_17_816,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_817,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_17_815,refute_17_816]) ).
cnf(refute_17_818,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_17_260,refute_17_817]) ).
cnf(refute_17_819,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_820,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_17_818,refute_17_819]) ).
cnf(refute_17_821,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_17_814,refute_17_820]) ).
cnf(refute_17_822,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_17_823,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_17_821,refute_17_822]) ).
cnf(refute_17_824,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_17_379,refute_17_823]) ).
cnf(refute_17_825,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_17_826,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_17_827,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_17_825,refute_17_826]) ).
cnf(refute_17_828,plain,
op2(op2(e20,e23),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_17_824,refute_17_827]) ).
cnf(refute_17_829,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) != op2(h2(e13),e22)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e20,e23),e22))),bind(Y,$fot(op2(h2(e13),e22))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_17_830,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h2(e13),e22)) )],[refute_17_828,refute_17_829]) ).
cnf(refute_17_831,plain,
op2(op2(e20,e23),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_17_806,refute_17_830]) ).
cnf(refute_17_832,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e21,e20)
| op2(e21,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_17_833,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(e21,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e21,e20)) )],[refute_17_831,refute_17_832]) ).
cnf(refute_17_834,plain,
op2(e21,e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) )],[refute_17_784,refute_17_833]) ).
cnf(refute_17_835,plain,
op2(e21,h3(e10)) = op2(e21,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e21,h3(e10)))]]) ).
cnf(refute_17_836,plain,
( h3(e10) != e20
| op2(e21,h3(e10)) != op2(e21,h3(e10))
| op2(e21,h3(e10)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_837,plain,
( h3(e10) != e20
| op2(e21,h3(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,h3(e10))) )],[refute_17_835,refute_17_836]) ).
cnf(refute_17_838,plain,
op2(e21,h3(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_837]) ).
cnf(refute_17_839,plain,
op2(h3(e11),h3(e10)) = op2(h3(e11),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e11),h3(e10)))]]) ).
cnf(refute_17_840,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e10)) != op2(h3(e11),h3(e10))
| op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_17_841,plain,
( h3(e11) != e21
| op2(h3(e11),h3(e10)) = op2(e21,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(h3(e11),h3(e10))) )],[refute_17_839,refute_17_840]) ).
cnf(refute_17_842,plain,
op2(h3(e11),h3(e10)) = op2(e21,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_841]) ).
cnf(refute_17_843,plain,
( op2(e21,h3(e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) != op2(e21,h3(e10))
| op2(h3(e11),h3(e10)) = op2(e21,e20) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e10)))),bind(Y,$fot(op2(e21,h3(e10)))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_17_844,plain,
( op2(e21,h3(e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,h3(e10))) )],[refute_17_842,refute_17_843]) ).
cnf(refute_17_845,plain,
op2(h3(e11),h3(e10)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(e21,h3(e10)),op2(e21,e20)) )],[refute_17_838,refute_17_844]) ).
cnf(refute_17_846,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(h3(e11),h3(e10)) != op2(e21,e20)
| op2(h3(e11),h3(e10)) = op2(e20,e21) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e11),h3(e10)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_17_847,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(h3(e11),h3(e10)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e21,e20)) )],[refute_17_845,refute_17_846]) ).
cnf(refute_17_848,plain,
op2(h3(e11),h3(e10)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_17_834,refute_17_847]) ).
cnf(refute_17_849,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| op2(h3(e11),h3(e10)) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(h3(e11),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e11)),op2(h3(e11),h3(e10))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_17_850,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(h3(e11),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e11),h3(e10)),op2(e20,e21)) )],[refute_17_848,refute_17_849]) ).
cnf(refute_17_851,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(h3(e11),h3(e10))) )],[refute_17_850,refute_17_776]) ).
cnf(refute_17_852,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e11,e10)),op2(h3(e11),h3(e10))) )],[refute_17_851,refute_17_708]) ).
cnf(refute_17_853,plain,
( h2(e13) != op2(h3(e10),h3(e13))
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e13)),h2(e13)) ),[1],$fot(op2(h3(e10),h3(e13)))]]) ).
cnf(refute_17_854,plain,
op2(e20,h3(e13)) = op2(e20,h3(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e13)))]]) ).
cnf(refute_17_855,plain,
( h3(e13) != e23
| op2(e20,h3(e13)) != op2(e20,h3(e13))
| op2(e20,h3(e13)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_17_856,plain,
( h3(e13) != e23
| op2(e20,h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,h3(e13))) )],[refute_17_854,refute_17_855]) ).
cnf(refute_17_857,plain,
op2(h3(e10),h3(e13)) = op2(h3(e10),h3(e13)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e13)))]]) ).
cnf(refute_17_858,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e13)) != op2(h3(e10),h3(e13))
| op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_859,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e13)) = op2(e20,h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(h3(e10),h3(e13))) )],[refute_17_857,refute_17_858]) ).
cnf(refute_17_860,plain,
op2(h3(e10),h3(e13)) = op2(e20,h3(e13)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_859]) ).
cnf(refute_17_861,plain,
( op2(e20,h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) != op2(e20,h3(e13))
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e10),h3(e13)))),bind(Y,$fot(op2(e20,h3(e13)))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_17_862,plain,
( op2(e20,h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,h3(e13))) )],[refute_17_860,refute_17_861]) ).
cnf(refute_17_863,plain,
( h3(e13) != e23
| op2(h3(e10),h3(e13)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e13)),op2(e20,e23)) )],[refute_17_856,refute_17_862]) ).
cnf(refute_17_864,plain,
( op2(e20,e23) != h2(e13)
| op2(h3(e10),h3(e13)) != op2(e20,e23)
| op2(h3(e10),h3(e13)) = h2(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e10),h3(e13)))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_17_865,plain,
( h3(e13) != e23
| op2(e20,e23) != h2(e13)
| op2(h3(e10),h3(e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),op2(e20,e23)) )],[refute_17_863,refute_17_864]) ).
cnf(refute_17_866,plain,
( h3(e13) != e23
| op2(h3(e10),h3(e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_17_824,refute_17_865]) ).
cnf(refute_17_867,plain,
( h2(e13) != h2(e13)
| op2(h3(e10),h3(e13)) != h2(e13)
| h2(e13) = op2(h3(e10),h3(e13)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(h3(e10),h3(e13))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_17_868,plain,
( h2(e13) != h2(e13)
| h3(e13) != e23
| h2(e13) = op2(h3(e10),h3(e13)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e13)),h2(e13)) )],[refute_17_866,refute_17_867]) ).
cnf(refute_17_869,plain,
( h2(e13) != h2(e13)
| h3(e13) != e23
| h3(op1(e10,e13)) != h2(e13)
| h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(h3(e10),h3(e13))) )],[refute_17_868,refute_17_853]) ).
cnf(refute_17_870,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),op2(h3(e10),h3(e13))) )],[refute_17_869,refute_17_852]) ).
cnf(refute_17_871,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e22) != op2(h3(e10),h3(e12))
| h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_872,plain,
op2(e20,h3(e12)) = op2(e20,h3(e12)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e12)))]]) ).
cnf(refute_17_873,plain,
( h3(e12) != e22
| op2(e20,h3(e12)) != op2(e20,h3(e12))
| op2(e20,h3(e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_17_874,plain,
( h3(e12) != e22
| op2(e20,h3(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,h3(e12))) )],[refute_17_872,refute_17_873]) ).
cnf(refute_17_875,plain,
op2(e20,h3(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_874]) ).
cnf(refute_17_876,plain,
op2(h3(e10),h3(e12)) = op2(h3(e10),h3(e12)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e12)))]]) ).
cnf(refute_17_877,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e12)) != op2(h3(e10),h3(e12))
| op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_878,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e12)) = op2(e20,h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(h3(e10),h3(e12))) )],[refute_17_876,refute_17_877]) ).
cnf(refute_17_879,plain,
op2(h3(e10),h3(e12)) = op2(e20,h3(e12)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_878]) ).
cnf(refute_17_880,plain,
( op2(e20,h3(e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) != op2(e20,h3(e12))
| op2(h3(e10),h3(e12)) = op2(e20,e22) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e10),h3(e12)))),bind(Y,$fot(op2(e20,h3(e12)))),bind(Z,$fot(op2(e20,e22)))]]) ).
cnf(refute_17_881,plain,
( op2(e20,h3(e12)) != op2(e20,e22)
| op2(h3(e10),h3(e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,h3(e12))) )],[refute_17_879,refute_17_880]) ).
cnf(refute_17_882,plain,
op2(h3(e10),h3(e12)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,h3(e12)),op2(e20,e22)) )],[refute_17_875,refute_17_881]) ).
cnf(refute_17_883,plain,
( op2(e20,e22) != op2(e20,e22)
| op2(h3(e10),h3(e12)) != op2(e20,e22)
| op2(e20,e22) = op2(h3(e10),h3(e12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(h3(e10),h3(e12))) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_17_884,plain,
( op2(e20,e22) != op2(e20,e22)
| op2(e20,e22) = op2(h3(e10),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e12)),op2(e20,e22)) )],[refute_17_882,refute_17_883]) ).
cnf(refute_17_885,plain,
( h3(op1(e10,e12)) != op2(e20,e22)
| op2(e20,e22) != op2(e20,e22)
| h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(h3(e10),h3(e12))) )],[refute_17_884,refute_17_871]) ).
cnf(refute_17_886,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(h3(e10),h3(e12))) )],[refute_17_885,refute_17_870]) ).
cnf(refute_17_887,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| op2(e20,e21) != op2(h3(e10),h3(e11))
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_17_888,plain,
op2(e20,h3(e11)) = op2(e20,h3(e11)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e11)))]]) ).
cnf(refute_17_889,plain,
( h3(e11) != e21
| op2(e20,h3(e11)) != op2(e20,h3(e11))
| op2(e20,h3(e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_17_890,plain,
( h3(e11) != e21
| op2(e20,h3(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,h3(e11))) )],[refute_17_888,refute_17_889]) ).
cnf(refute_17_891,plain,
op2(e20,h3(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_890]) ).
cnf(refute_17_892,plain,
op2(h3(e10),h3(e11)) = op2(h3(e10),h3(e11)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e11)))]]) ).
cnf(refute_17_893,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e11)) != op2(h3(e10),h3(e11))
| op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_894,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e11)) = op2(e20,h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(h3(e10),h3(e11))) )],[refute_17_892,refute_17_893]) ).
cnf(refute_17_895,plain,
op2(h3(e10),h3(e11)) = op2(e20,h3(e11)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_894]) ).
cnf(refute_17_896,plain,
( op2(e20,h3(e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) != op2(e20,h3(e11))
| op2(h3(e10),h3(e11)) = op2(e20,e21) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e10),h3(e11)))),bind(Y,$fot(op2(e20,h3(e11)))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_17_897,plain,
( op2(e20,h3(e11)) != op2(e20,e21)
| op2(h3(e10),h3(e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,h3(e11))) )],[refute_17_895,refute_17_896]) ).
cnf(refute_17_898,plain,
op2(h3(e10),h3(e11)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e20,h3(e11)),op2(e20,e21)) )],[refute_17_891,refute_17_897]) ).
cnf(refute_17_899,plain,
( op2(e20,e21) != op2(e20,e21)
| op2(h3(e10),h3(e11)) != op2(e20,e21)
| op2(e20,e21) = op2(h3(e10),h3(e11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(h3(e10),h3(e11))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_17_900,plain,
( op2(e20,e21) != op2(e20,e21)
| op2(e20,e21) = op2(h3(e10),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e11)),op2(e20,e21)) )],[refute_17_898,refute_17_899]) ).
cnf(refute_17_901,plain,
( h3(op1(e10,e11)) != op2(e20,e21)
| op2(e20,e21) != op2(e20,e21)
| h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(h3(e10),h3(e11))) )],[refute_17_900,refute_17_887]) ).
cnf(refute_17_902,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(e13) != e23
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(h3(e10),h3(e11))) )],[refute_17_901,refute_17_886]) ).
cnf(refute_17_903,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_17_55]) ).
cnf(refute_17_904,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_17_905,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_17_903,refute_17_904]) ).
cnf(refute_17_906,plain,
op2(e20,h3(e10)) = op2(e20,h3(e10)),
introduced(tautology,[refl,[$fot(op2(e20,h3(e10)))]]) ).
cnf(refute_17_907,plain,
( h3(e10) != e20
| op2(e20,h3(e10)) != op2(e20,h3(e10))
| op2(e20,h3(e10)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_908,plain,
( h3(e10) != e20
| op2(e20,h3(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,h3(e10))) )],[refute_17_906,refute_17_907]) ).
cnf(refute_17_909,plain,
op2(e20,h3(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_908]) ).
cnf(refute_17_910,plain,
op2(h3(e10),h3(e10)) = op2(h3(e10),h3(e10)),
introduced(tautology,[refl,[$fot(op2(h3(e10),h3(e10)))]]) ).
cnf(refute_17_911,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e10)) != op2(h3(e10),h3(e10))
| op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_17_912,plain,
( h3(e10) != e20
| op2(h3(e10),h3(e10)) = op2(e20,h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(h3(e10),h3(e10))) )],[refute_17_910,refute_17_911]) ).
cnf(refute_17_913,plain,
op2(h3(e10),h3(e10)) = op2(e20,h3(e10)),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_912]) ).
cnf(refute_17_914,plain,
( op2(e20,h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) != op2(e20,h3(e10))
| op2(h3(e10),h3(e10)) = op2(e20,e20) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,h3(e10)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_17_915,plain,
( op2(e20,h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,h3(e10))) )],[refute_17_913,refute_17_914]) ).
cnf(refute_17_916,plain,
op2(h3(e10),h3(e10)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h3(e10)),op2(e20,e20)) )],[refute_17_909,refute_17_915]) ).
cnf(refute_17_917,plain,
( op2(e20,e20) != h1(e13)
| op2(h3(e10),h3(e10)) != op2(e20,e20)
| op2(h3(e10),h3(e10)) = h1(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(h3(e10),h3(e10)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_17_918,plain,
( op2(e20,e20) != h1(e13)
| op2(h3(e10),h3(e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),op2(e20,e20)) )],[refute_17_916,refute_17_917]) ).
cnf(refute_17_919,plain,
op2(h3(e10),h3(e10)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_905,refute_17_918]) ).
cnf(refute_17_920,plain,
( h3(op1(e10,e10)) != h1(e13)
| op2(h3(e10),h3(e10)) != h1(e13)
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_17_921,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
inference(resolve,[$cnf( $equal(op2(h3(e10),h3(e10)),h1(e13)) )],[refute_17_919,refute_17_920]) ).
cnf(refute_17_922,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(e13) != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),op2(h3(e10),h3(e10))) )],[refute_17_921,refute_17_902]) ).
cnf(refute_17_923,plain,
h3(e13) = op2(e22,e22),
inference(canonicalize,[],[normalize_17_56]) ).
cnf(refute_17_924,plain,
( h3(e13) != op2(e22,e22)
| op2(e22,e22) != e23
| h3(e13) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h3(e13),e23) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_17_925,plain,
( h3(e13) != op2(e22,e22)
| h3(e13) = e23 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_924]) ).
cnf(refute_17_926,plain,
h3(e13) = e23,
inference(resolve,[$cnf( $equal(h3(e13),op2(e22,e22)) )],[refute_17_923,refute_17_925]) ).
cnf(refute_17_927,plain,
( e23 != e23
| h3(e13) != e23
| h3(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e13),e23) ),[1],$fot(e23)]]) ).
cnf(refute_17_928,plain,
( e23 != e23
| h3(e13) = e23 ),
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_17_926,refute_17_927]) ).
cnf(refute_17_929,plain,
( e20 != e20
| e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_17_928,refute_17_922]) ).
cnf(refute_17_930,plain,
e20 = e20,
introduced(tautology,[refl,[$fot(e20)]]) ).
cnf(refute_17_931,plain,
( e21 != e21
| e23 != e23
| h2(e13) != h2(e13)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_17_930,refute_17_929]) ).
cnf(refute_17_932,plain,
e21 = e21,
introduced(tautology,[refl,[$fot(e21)]]) ).
cnf(refute_17_933,plain,
( e23 != e23
| h2(e13) != h2(e13)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_932,refute_17_931]) ).
cnf(refute_17_934,plain,
e23 = e23,
introduced(tautology,[refl,[$fot(e23)]]) ).
cnf(refute_17_935,plain,
( h2(e13) != h2(e13)
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_17_934,refute_17_933]) ).
cnf(refute_17_936,plain,
h2(e13) = h2(e13),
introduced(tautology,[refl,[$fot(h2(e13))]]) ).
cnf(refute_17_937,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h2(e13),h2(e13)) )],[refute_17_936,refute_17_935]) ).
cnf(refute_17_938,plain,
op2(e20,e21) = op2(e20,e21),
introduced(tautology,[refl,[$fot(op2(e20,e21))]]) ).
cnf(refute_17_939,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| op2(e20,e22) != op2(e20,e22)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e21)) )],[refute_17_938,refute_17_937]) ).
cnf(refute_17_940,plain,
op2(e20,e22) = op2(e20,e22),
introduced(tautology,[refl,[$fot(op2(e20,e22))]]) ).
cnf(refute_17_941,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| definitionFOFtoCNF_106
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) )],[refute_17_940,refute_17_939]) ).
cnf(refute_17_942,plain,
( h3(e10) != e20
| ~ definitionFOFtoCNF_106 ),
inference(canonicalize,[],[normalize_17_58]) ).
cnf(refute_17_943,plain,
( e20 != e20
| h3(e10) != e20
| h3(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e10),e20) ),[1],$fot(e20)]]) ).
cnf(refute_17_944,plain,
( e20 != e20
| h3(e10) = e20 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_943]) ).
cnf(refute_17_945,plain,
( e20 != e20
| ~ definitionFOFtoCNF_106 ),
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_944,refute_17_942]) ).
cnf(refute_17_946,plain,
~ definitionFOFtoCNF_106,
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_17_930,refute_17_945]) ).
cnf(refute_17_947,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13)
| definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( definitionFOFtoCNF_106 )],[refute_17_941,refute_17_946]) ).
cnf(refute_17_948,plain,
( h3(e11) != e21
| ~ definitionFOFtoCNF_107 ),
inference(canonicalize,[],[normalize_17_60]) ).
cnf(refute_17_949,plain,
( e21 != e21
| h3(e11) != e21
| h3(e11) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h3(e11),e21) ),[1],$fot(e21)]]) ).
cnf(refute_17_950,plain,
( e21 != e21
| h3(e11) = e21 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_949]) ).
cnf(refute_17_951,plain,
( e21 != e21
| ~ definitionFOFtoCNF_107 ),
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_950,refute_17_948]) ).
cnf(refute_17_952,plain,
~ definitionFOFtoCNF_107,
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_932,refute_17_951]) ).
cnf(refute_17_953,plain,
( h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22)
| h3(op1(e10,e13)) != h2(e13) ),
inference(resolve,[$cnf( definitionFOFtoCNF_107 )],[refute_17_947,refute_17_952]) ).
cnf(refute_17_954,plain,
op1(op1(e10,e12),e12) = op1(e10,op1(e12,e12)),
inference(canonicalize,[],[normalize_17_61]) ).
cnf(refute_17_955,plain,
op1(e10,op1(e12,e12)) = op1(e10,op1(e12,e12)),
introduced(tautology,[refl,[$fot(op1(e10,op1(e12,e12)))]]) ).
cnf(refute_17_956,plain,
( op1(e10,op1(e12,e12)) != op1(e10,op1(e12,e12))
| op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) ),[1,1],$fot(e13)]]) ).
cnf(refute_17_957,plain,
( op1(e12,e12) != e13
| op1(e10,op1(e12,e12)) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,op1(e12,e12))) )],[refute_17_955,refute_17_956]) ).
cnf(refute_17_958,plain,
op1(e10,op1(e12,e12)) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_957]) ).
cnf(refute_17_959,plain,
( op1(e10,op1(e12,e12)) != op1(e10,e13)
| op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) ),[1],$fot(op1(e10,e13))]]) ).
cnf(refute_17_960,plain,
( op1(op1(e10,e12),e12) != op1(e10,op1(e12,e12))
| op1(op1(e10,e12),e12) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,op1(e12,e12)),op1(e10,e13)) )],[refute_17_958,refute_17_959]) ).
cnf(refute_17_961,plain,
op1(op1(e10,e12),e12) = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,op1(e12,e12))) )],[refute_17_954,refute_17_960]) ).
cnf(refute_17_962,plain,
op1(e12,unit1) = e12,
inference(canonicalize,[],[normalize_17_63]) ).
cnf(refute_17_963,plain,
op1(unit1,e13) = e13,
inference(canonicalize,[],[normalize_17_64]) ).
cnf(refute_17_964,plain,
( unit1 = e10
| unit1 = e11
| unit1 = e12
| unit1 = e13 ),
inference(canonicalize,[],[normalize_17_65]) ).
cnf(refute_17_965,plain,
( op1(unit1,e13) != e13
| unit1 != e11
| op1(e11,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(unit1,e13),e13) ),[0,0],$fot(e11)]]) ).
cnf(refute_17_966,plain,
( op1(unit1,e13) != e13
| op1(e11,e13) = e13
| unit1 = e10
| unit1 = e12
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(unit1,e11) )],[refute_17_964,refute_17_965]) ).
cnf(refute_17_967,plain,
( op1(e11,e13) = e13
| unit1 = e10
| unit1 = e12
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(op1(unit1,e13),e13) )],[refute_17_963,refute_17_966]) ).
cnf(refute_17_968,plain,
( op1(e11,e13) != e13
| op1(e11,e13) != op1(e10,e12)
| op1(e10,e12) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e13) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_969,plain,
( op1(e11,e13) != e13
| op1(e10,e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_17_207,refute_17_968]) ).
cnf(refute_17_970,plain,
( op1(e10,e12) = e13
| unit1 = e10
| unit1 = e12
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e13) )],[refute_17_967,refute_17_969]) ).
cnf(refute_17_971,plain,
op1(e10,e12) != op1(e12,e12),
inference(canonicalize,[],[normalize_17_67]) ).
cnf(refute_17_972,plain,
( op1(e10,e12) != e13
| op1(e12,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e10,e12),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_17_973,plain,
( op1(e10,e12) != e13
| op1(e10,e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_972]) ).
cnf(refute_17_974,plain,
op1(e10,e12) != e13,
inference(resolve,[$cnf( $equal(op1(e10,e12),op1(e12,e12)) )],[refute_17_973,refute_17_971]) ).
cnf(refute_17_975,plain,
( unit1 = e10
| unit1 = e12
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e12),e13) )],[refute_17_970,refute_17_974]) ).
cnf(refute_17_976,plain,
( op1(unit1,e13) != e13
| unit1 != e12
| op1(e12,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(unit1,e13),e13) ),[0,0],$fot(e12)]]) ).
cnf(refute_17_977,plain,
( op1(unit1,e13) != e13
| op1(e12,e13) = e13
| unit1 = e10
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(unit1,e12) )],[refute_17_975,refute_17_976]) ).
cnf(refute_17_978,plain,
( op1(e12,e13) = e13
| unit1 = e10
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(op1(unit1,e13),e13) )],[refute_17_963,refute_17_977]) ).
cnf(refute_17_979,plain,
( op1(e12,e13) != e11
| op1(e12,e13) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e13),e13) ),[0],$fot(e11)]]) ).
cnf(refute_17_980,plain,
( op1(e12,e13) != e13
| e11 = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e11) )],[refute_17_426,refute_17_979]) ).
cnf(refute_17_981,plain,
( e11 = e13
| unit1 = e10
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e13),e13) )],[refute_17_978,refute_17_980]) ).
cnf(refute_17_982,plain,
e11 != e13,
inference(canonicalize,[],[normalize_17_69]) ).
cnf(refute_17_983,plain,
( unit1 = e10
| unit1 = e13 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_17_981,refute_17_982]) ).
cnf(refute_17_984,plain,
( op1(unit1,e13) != e13
| unit1 != e13
| op1(e13,e13) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(unit1,e13),e13) ),[0,0],$fot(e13)]]) ).
cnf(refute_17_985,plain,
( op1(unit1,e13) != e13
| op1(e13,e13) = e13
| unit1 = e10 ),
inference(resolve,[$cnf( $equal(unit1,e13) )],[refute_17_983,refute_17_984]) ).
cnf(refute_17_986,plain,
( op1(e13,e13) = e13
| unit1 = e10 ),
inference(resolve,[$cnf( $equal(op1(unit1,e13),e13) )],[refute_17_963,refute_17_985]) ).
cnf(refute_17_987,plain,
( op1(e13,e13) != e10
| op1(e13,e13) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e13,e13),e13) ),[0],$fot(e10)]]) ).
cnf(refute_17_988,plain,
( op1(e13,e13) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e10) )],[refute_17_57,refute_17_987]) ).
cnf(refute_17_989,plain,
( e10 = e13
| unit1 = e10 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e13) )],[refute_17_986,refute_17_988]) ).
cnf(refute_17_990,plain,
op1(e12,e11) != op1(e12,e12),
inference(canonicalize,[],[normalize_17_70]) ).
cnf(refute_17_991,plain,
( op1(e12,e11) != e13
| op1(e12,e12) != e13
| op1(e12,e11) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op1(e12,e11),op1(e12,e12)) ),[1],$fot(e13)]]) ).
cnf(refute_17_992,plain,
( op1(e12,e11) != e13
| op1(e12,e11) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_991]) ).
cnf(refute_17_993,plain,
op1(e12,e11) != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),op1(e12,e12)) )],[refute_17_992,refute_17_990]) ).
cnf(refute_17_994,plain,
( e10 != e13
| op1(e12,e11) != e10
| op1(e12,e11) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e11),e10) ),[1],$fot(e13)]]) ).
cnf(refute_17_995,plain,
( e10 != e13
| op1(e12,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e11),e10) )],[refute_17_510,refute_17_994]) ).
cnf(refute_17_996,plain,
e10 != e13,
inference(resolve,[$cnf( $equal(op1(e12,e11),e13) )],[refute_17_995,refute_17_993]) ).
cnf(refute_17_997,plain,
unit1 = e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_17_989,refute_17_996]) ).
cnf(refute_17_998,plain,
op1(e12,unit1) = op1(e12,unit1),
introduced(tautology,[refl,[$fot(op1(e12,unit1))]]) ).
cnf(refute_17_999,plain,
( op1(e12,unit1) != op1(e12,unit1)
| unit1 != e10
| op1(e12,unit1) = op1(e12,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,unit1),op1(e12,unit1)) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_1000,plain,
( unit1 != e10
| op1(e12,unit1) = op1(e12,e10) ),
inference(resolve,[$cnf( $equal(op1(e12,unit1),op1(e12,unit1)) )],[refute_17_998,refute_17_999]) ).
cnf(refute_17_1001,plain,
op1(e12,unit1) = op1(e12,e10),
inference(resolve,[$cnf( $equal(unit1,e10) )],[refute_17_997,refute_17_1000]) ).
cnf(refute_17_1002,plain,
( op1(e12,e10) != op1(e10,e12)
| op1(e12,unit1) != op1(e12,e10)
| op1(e12,unit1) = op1(e10,e12) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(e12,unit1))),bind(Y,$fot(op1(e12,e10))),bind(Z,$fot(op1(e10,e12)))]]) ).
cnf(refute_17_1003,plain,
( op1(e12,e10) != op1(e10,e12)
| op1(e12,unit1) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,unit1),op1(e12,e10)) )],[refute_17_1001,refute_17_1002]) ).
cnf(refute_17_1004,plain,
op1(e12,unit1) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e12,e10),op1(e10,e12)) )],[refute_17_577,refute_17_1003]) ).
cnf(refute_17_1005,plain,
( op1(e12,unit1) != e12
| op1(e12,unit1) != op1(e10,e12)
| op1(e10,e12) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,unit1),e12) ),[0],$fot(op1(e10,e12))]]) ).
cnf(refute_17_1006,plain,
( op1(e12,unit1) != e12
| op1(e10,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e12,unit1),op1(e10,e12)) )],[refute_17_1004,refute_17_1005]) ).
cnf(refute_17_1007,plain,
op1(e10,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e12,unit1),e12) )],[refute_17_962,refute_17_1006]) ).
cnf(refute_17_1008,plain,
op1(op1(e10,e12),e12) = op1(op1(e10,e12),e12),
introduced(tautology,[refl,[$fot(op1(op1(e10,e12),e12))]]) ).
cnf(refute_17_1009,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) != op1(op1(e10,e12),e12)
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) ),[1,0],$fot(e12)]]) ).
cnf(refute_17_1010,plain,
( op1(e10,e12) != e12
| op1(op1(e10,e12),e12) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(op1(e10,e12),e12)) )],[refute_17_1008,refute_17_1009]) ).
cnf(refute_17_1011,plain,
op1(op1(e10,e12),e12) = op1(e12,e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_17_1007,refute_17_1010]) ).
cnf(refute_17_1012,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) != op1(e12,e12)
| op1(op1(e10,e12),e12) = e13 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(op1(e10,e12),e12))),bind(Y,$fot(op1(e12,e12))),bind(Z,$fot(e13))]]) ).
cnf(refute_17_1013,plain,
( op1(e12,e12) != e13
| op1(op1(e10,e12),e12) = e13 ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e12,e12)) )],[refute_17_1011,refute_17_1012]) ).
cnf(refute_17_1014,plain,
op1(op1(e10,e12),e12) = e13,
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_17_15,refute_17_1013]) ).
cnf(refute_17_1015,plain,
( op1(op1(e10,e12),e12) != e13
| op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) ),[0],$fot(e13)]]) ).
cnf(refute_17_1016,plain,
( op1(op1(e10,e12),e12) != op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),e13) )],[refute_17_1014,refute_17_1015]) ).
cnf(refute_17_1017,plain,
e13 = op1(e10,e13),
inference(resolve,[$cnf( $equal(op1(op1(e10,e12),e12),op1(e10,e13)) )],[refute_17_961,refute_17_1016]) ).
cnf(refute_17_1018,plain,
( e13 != op1(e10,e13)
| op1(e10,e13) = e13 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e13)),bind(Y,$fot(op1(e10,e13)))]]) ).
cnf(refute_17_1019,plain,
op1(e10,e13) = e13,
inference(resolve,[$cnf( $equal(e13,op1(e10,e13)) )],[refute_17_1017,refute_17_1018]) ).
cnf(refute_17_1020,plain,
h3(op1(e10,e13)) = h3(op1(e10,e13)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e13)))]]) ).
cnf(refute_17_1021,plain,
( h3(op1(e10,e13)) != h3(op1(e10,e13))
| op1(e10,e13) != e13
| h3(op1(e10,e13)) = h3(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e13)),h3(op1(e10,e13))) ),[1,0],$fot(e13)]]) ).
cnf(refute_17_1022,plain,
( op1(e10,e13) != e13
| h3(op1(e10,e13)) = h3(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),h3(op1(e10,e13))) )],[refute_17_1020,refute_17_1021]) ).
cnf(refute_17_1023,plain,
h3(op1(e10,e13)) = h3(e13),
inference(resolve,[$cnf( $equal(op1(e10,e13),e13) )],[refute_17_1019,refute_17_1022]) ).
cnf(refute_17_1024,plain,
( h3(e13) != e23
| h3(op1(e10,e13)) != h3(e13)
| h3(op1(e10,e13)) = e23 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e10,e13)))),bind(Y,$fot(h3(e13))),bind(Z,$fot(e23))]]) ).
cnf(refute_17_1025,plain,
( h3(e13) != e23
| h3(op1(e10,e13)) = e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),h3(e13)) )],[refute_17_1023,refute_17_1024]) ).
cnf(refute_17_1026,plain,
h3(op1(e10,e13)) = e23,
inference(resolve,[$cnf( $equal(h3(e13),e23) )],[refute_17_926,refute_17_1025]) ).
cnf(refute_17_1027,plain,
( e23 != h2(e13)
| h3(op1(e10,e13)) != e23
| h3(op1(e10,e13)) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e13)),e23) ),[1],$fot(h2(e13))]]) ).
cnf(refute_17_1028,plain,
( e23 != h2(e13)
| h3(op1(e10,e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),e23) )],[refute_17_1026,refute_17_1027]) ).
cnf(refute_17_1029,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e20,e22),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) ),[1],$fot(h2(e13))]]) ).
cnf(refute_17_1030,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e20,e22),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_17_824,refute_17_1029]) ).
cnf(refute_17_1031,plain,
op2(op2(e20,e22),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_17_814,refute_17_1030]) ).
cnf(refute_17_1032,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 ),
inference(canonicalize,[],[normalize_17_72]) ).
cnf(refute_17_1033,plain,
op2(e20,e22) != op2(e22,e22),
inference(canonicalize,[],[normalize_17_74]) ).
cnf(refute_17_1034,plain,
( op2(e20,e22) != e23
| op2(e22,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_17_1035,plain,
( op2(e20,e22) != e23
| op2(e20,e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_1034]) ).
cnf(refute_17_1036,plain,
op2(e20,e22) != e23,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e22)) )],[refute_17_1035,refute_17_1033]) ).
cnf(refute_17_1037,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e23) )],[refute_17_1032,refute_17_1036]) ).
cnf(refute_17_1038,plain,
op2(e23,e21) != op2(e23,e23),
inference(canonicalize,[],[normalize_17_75]) ).
cnf(refute_17_1039,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e23) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e23,e21),op2(e23,e23)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_17_1040,plain,
( op2(e23,e21) != h4(e13)
| op2(e23,e21) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_95,refute_17_1039]) ).
cnf(refute_17_1041,plain,
op2(e23,e21) != h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e23,e23)) )],[refute_17_1040,refute_17_1038]) ).
cnf(refute_17_1042,plain,
( op2(e20,e22) != h4(e13)
| op2(e23,e21) != op2(e20,e22)
| op2(e23,e21) = h4(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e21),op2(e20,e22)) ),[1],$fot(h4(e13))]]) ).
cnf(refute_17_1043,plain,
( op2(e20,e22) != h4(e13)
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e20,e22)) )],[refute_17_265,refute_17_1042]) ).
cnf(refute_17_1044,plain,
( h4(e13) != e20
| op2(e20,e22) != e20
| op2(e20,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_17_1045,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_1044]) ).
cnf(refute_17_1046,plain,
( op2(e20,e22) != e20
| op2(e23,e21) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),h4(e13)) )],[refute_17_1045,refute_17_1043]) ).
cnf(refute_17_1047,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e23,e21),h4(e13)) )],[refute_17_1046,refute_17_1041]) ).
cnf(refute_17_1048,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_17_1037,refute_17_1047]) ).
cnf(refute_17_1049,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_17_76]) ).
cnf(refute_17_1050,plain,
( op2(e20,e22) != e21
| op2(e23,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_17_1051,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_17_87,refute_17_1050]) ).
cnf(refute_17_1052,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_17_1051,refute_17_1049]) ).
cnf(refute_17_1053,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_17_1048,refute_17_1052]) ).
cnf(refute_17_1054,plain,
op2(op2(e20,e22),e22) = op2(op2(e20,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e22))]]) ).
cnf(refute_17_1055,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e22) != op2(op2(e20,e22),e22)
| op2(op2(e20,e22),e22) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(op2(e20,e22),e22)) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_1056,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e22) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(op2(e20,e22),e22)) )],[refute_17_1054,refute_17_1055]) ).
cnf(refute_17_1057,plain,
op2(op2(e20,e22),e22) = op2(e22,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_17_1053,refute_17_1056]) ).
cnf(refute_17_1058,plain,
( op2(e22,e22) != e23
| op2(op2(e20,e22),e22) != op2(e22,e22)
| op2(op2(e20,e22),e22) = e23 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e20,e22),e22))),bind(Y,$fot(op2(e22,e22))),bind(Z,$fot(e23))]]) ).
cnf(refute_17_1059,plain,
( op2(e22,e22) != e23
| op2(op2(e20,e22),e22) = e23 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e22,e22)) )],[refute_17_1057,refute_17_1058]) ).
cnf(refute_17_1060,plain,
op2(op2(e20,e22),e22) = e23,
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_17_74,refute_17_1059]) ).
cnf(refute_17_1061,plain,
( op2(op2(e20,e22),e22) != e23
| op2(op2(e20,e22),e22) != h2(e13)
| e23 = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),h2(e13)) ),[0],$fot(e23)]]) ).
cnf(refute_17_1062,plain,
( op2(op2(e20,e22),e22) != h2(e13)
| e23 = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),e23) )],[refute_17_1060,refute_17_1061]) ).
cnf(refute_17_1063,plain,
e23 = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),h2(e13)) )],[refute_17_1031,refute_17_1062]) ).
cnf(refute_17_1064,plain,
( e23 != h2(e13)
| h2(e13) = e23 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e23)),bind(Y,$fot(h2(e13)))]]) ).
cnf(refute_17_1065,plain,
h2(e13) = e23,
inference(resolve,[$cnf( $equal(e23,h2(e13)) )],[refute_17_1063,refute_17_1064]) ).
cnf(refute_17_1066,plain,
( e23 != e23
| h2(e13) != e23
| e23 = h2(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e23,h2(e13)) ),[1],$fot(e23)]]) ).
cnf(refute_17_1067,plain,
( e23 != e23
| e23 = h2(e13) ),
inference(resolve,[$cnf( $equal(h2(e13),e23) )],[refute_17_1065,refute_17_1066]) ).
cnf(refute_17_1068,plain,
( e23 != e23
| h3(op1(e10,e13)) = h2(e13) ),
inference(resolve,[$cnf( $equal(e23,h2(e13)) )],[refute_17_1067,refute_17_1028]) ).
cnf(refute_17_1069,plain,
( e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21)
| h3(op1(e10,e12)) != op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e13)),h2(e13)) )],[refute_17_1068,refute_17_953]) ).
cnf(refute_17_1070,plain,
h3(op1(e10,e12)) = h3(op1(e10,e12)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e12)))]]) ).
cnf(refute_17_1071,plain,
( h3(op1(e10,e12)) != h3(op1(e10,e12))
| op1(e10,e12) != e12
| h3(op1(e10,e12)) = h3(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) ),[1,0],$fot(e12)]]) ).
cnf(refute_17_1072,plain,
( op1(e10,e12) != e12
| h3(op1(e10,e12)) = h3(e12) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(op1(e10,e12))) )],[refute_17_1070,refute_17_1071]) ).
cnf(refute_17_1073,plain,
h3(op1(e10,e12)) = h3(e12),
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_17_1007,refute_17_1072]) ).
cnf(refute_17_1074,plain,
( h3(e12) != e22
| h3(op1(e10,e12)) != h3(e12)
| h3(op1(e10,e12)) = e22 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e10,e12)))),bind(Y,$fot(h3(e12))),bind(Z,$fot(e22))]]) ).
cnf(refute_17_1075,plain,
( h3(e12) != e22
| h3(op1(e10,e12)) = e22 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),h3(e12)) )],[refute_17_1073,refute_17_1074]) ).
cnf(refute_17_1076,plain,
h3(op1(e10,e12)) = e22,
inference(resolve,[$cnf( $equal(h3(e12),e22) )],[refute_17_153,refute_17_1075]) ).
cnf(refute_17_1077,plain,
( e22 != op2(e20,e22)
| h3(op1(e10,e12)) != e22
| h3(op1(e10,e12)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e12)),e22) ),[1],$fot(op2(e20,e22))]]) ).
cnf(refute_17_1078,plain,
( e22 != op2(e20,e22)
| h3(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),e22) )],[refute_17_1076,refute_17_1077]) ).
cnf(refute_17_1079,plain,
( e22 != e22
| op2(e20,e22) != e22
| e22 = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e22,op2(e20,e22)) ),[1],$fot(e22)]]) ).
cnf(refute_17_1080,plain,
( e22 != e22
| e22 = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_17_1053,refute_17_1079]) ).
cnf(refute_17_1081,plain,
( e22 != e22
| h3(op1(e10,e12)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(e22,op2(e20,e22)) )],[refute_17_1080,refute_17_1078]) ).
cnf(refute_17_1082,plain,
( e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13)
| h3(op1(e10,e11)) != op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e12)),op2(e20,e22)) )],[refute_17_1081,refute_17_1069]) ).
cnf(refute_17_1083,plain,
op1(e11,unit1) = e11,
inference(canonicalize,[],[normalize_17_77]) ).
cnf(refute_17_1084,plain,
op1(e11,unit1) = op1(e11,unit1),
introduced(tautology,[refl,[$fot(op1(e11,unit1))]]) ).
cnf(refute_17_1085,plain,
( op1(e11,unit1) != op1(e11,unit1)
| unit1 != e10
| op1(e11,unit1) = op1(e11,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,unit1),op1(e11,unit1)) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_1086,plain,
( unit1 != e10
| op1(e11,unit1) = op1(e11,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,unit1),op1(e11,unit1)) )],[refute_17_1084,refute_17_1085]) ).
cnf(refute_17_1087,plain,
op1(e11,unit1) = op1(e11,e10),
inference(resolve,[$cnf( $equal(unit1,e10) )],[refute_17_997,refute_17_1086]) ).
cnf(refute_17_1088,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,unit1) != op1(e11,e10)
| op1(e11,unit1) = op1(e10,e11) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op1(e11,unit1))),bind(Y,$fot(op1(e11,e10))),bind(Z,$fot(op1(e10,e11)))]]) ).
cnf(refute_17_1089,plain,
( op1(e11,e10) != op1(e10,e11)
| op1(e11,unit1) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,unit1),op1(e11,e10)) )],[refute_17_1087,refute_17_1088]) ).
cnf(refute_17_1090,plain,
op1(e11,unit1) = op1(e10,e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),op1(e10,e11)) )],[refute_17_770,refute_17_1089]) ).
cnf(refute_17_1091,plain,
( op1(e11,unit1) != e11
| op1(e11,unit1) != op1(e10,e11)
| op1(e10,e11) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,unit1),e11) ),[0],$fot(op1(e10,e11))]]) ).
cnf(refute_17_1092,plain,
( op1(e11,unit1) != e11
| op1(e10,e11) = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,unit1),op1(e10,e11)) )],[refute_17_1090,refute_17_1091]) ).
cnf(refute_17_1093,plain,
op1(e10,e11) = e11,
inference(resolve,[$cnf( $equal(op1(e11,unit1),e11) )],[refute_17_1083,refute_17_1092]) ).
cnf(refute_17_1094,plain,
h3(op1(e10,e11)) = h3(op1(e10,e11)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e11)))]]) ).
cnf(refute_17_1095,plain,
( h3(op1(e10,e11)) != h3(op1(e10,e11))
| op1(e10,e11) != e11
| h3(op1(e10,e11)) = h3(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e11)),h3(op1(e10,e11))) ),[1,0],$fot(e11)]]) ).
cnf(refute_17_1096,plain,
( op1(e10,e11) != e11
| h3(op1(e10,e11)) = h3(e11) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),h3(op1(e10,e11))) )],[refute_17_1094,refute_17_1095]) ).
cnf(refute_17_1097,plain,
h3(op1(e10,e11)) = h3(e11),
inference(resolve,[$cnf( $equal(op1(e10,e11),e11) )],[refute_17_1093,refute_17_1096]) ).
cnf(refute_17_1098,plain,
( h3(e11) != e21
| h3(op1(e10,e11)) != h3(e11)
| h3(op1(e10,e11)) = e21 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e10,e11)))),bind(Y,$fot(h3(e11))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_1099,plain,
( h3(e11) != e21
| h3(op1(e10,e11)) = e21 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),h3(e11)) )],[refute_17_1097,refute_17_1098]) ).
cnf(refute_17_1100,plain,
h3(op1(e10,e11)) = e21,
inference(resolve,[$cnf( $equal(h3(e11),e21) )],[refute_17_143,refute_17_1099]) ).
cnf(refute_17_1101,plain,
( e21 != op2(e20,e21)
| h3(op1(e10,e11)) != e21
| h3(op1(e10,e11)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e11)),e21) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_17_1102,plain,
( e21 != op2(e20,e21)
| h3(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),e21) )],[refute_17_1100,refute_17_1101]) ).
cnf(refute_17_1103,plain,
op2(op2(e20,e22),e23) = op2(e20,op2(e22,e23)),
inference(canonicalize,[],[normalize_17_78]) ).
cnf(refute_17_1104,plain,
op2(op2(e21,e23),e23) = op2(e21,op2(e23,e23)),
inference(canonicalize,[],[normalize_17_79]) ).
cnf(refute_17_1105,plain,
op2(e21,op2(e23,e23)) = op2(e21,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e23)))]]) ).
cnf(refute_17_1106,plain,
( op2(e21,op2(e23,e23)) != op2(e21,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e21,op2(e23,e23)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_17_1107,plain,
( op2(e23,e23) != h4(e13)
| op2(e21,op2(e23,e23)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,op2(e23,e23))) )],[refute_17_1105,refute_17_1106]) ).
cnf(refute_17_1108,plain,
op2(e21,op2(e23,e23)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_95,refute_17_1107]) ).
cnf(refute_17_1109,plain,
( op2(e21,op2(e23,e23)) != op2(e21,h4(e13))
| op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(op2(e21,e23),e23) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_17_1110,plain,
( op2(op2(e21,e23),e23) != op2(e21,op2(e23,e23))
| op2(op2(e21,e23),e23) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e23)),op2(e21,h4(e13))) )],[refute_17_1108,refute_17_1109]) ).
cnf(refute_17_1111,plain,
op2(op2(e21,e23),e23) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,op2(e23,e23))) )],[refute_17_1104,refute_17_1110]) ).
cnf(refute_17_1112,plain,
op2(op2(e21,e23),e23) = op2(op2(e21,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e23))]]) ).
cnf(refute_17_1113,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e23) != op2(op2(e21,e23),e23)
| op2(op2(e21,e23),e23) = op2(op2(e20,e22),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_1114,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e23) = op2(op2(e20,e22),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e21,e23),e23)) )],[refute_17_1112,refute_17_1113]) ).
cnf(refute_17_1115,plain,
op2(op2(e21,e23),e23) = op2(op2(e20,e22),e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_17_260,refute_17_1114]) ).
cnf(refute_17_1116,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e21,e23),e23) != op2(op2(e20,e22),e23)
| op2(op2(e21,e23),e23) = op2(e20,op2(e22,e23)) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e21,e23),e23))),bind(Y,$fot(op2(op2(e20,e22),e23))),bind(Z,$fot(op2(e20,op2(e22,e23))))]]) ).
cnf(refute_17_1117,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e21,e23),e23) = op2(e20,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(op2(e20,e22),e23)) )],[refute_17_1115,refute_17_1116]) ).
cnf(refute_17_1118,plain,
op2(op2(e21,e23),e23) = op2(e20,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) )],[refute_17_1103,refute_17_1117]) ).
cnf(refute_17_1119,plain,
( op2(op2(e21,e23),e23) != op2(e20,op2(e22,e23))
| op2(op2(e21,e23),e23) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,h4(e13))) ),[0],$fot(op2(e20,op2(e22,e23)))]]) ).
cnf(refute_17_1120,plain,
( op2(op2(e21,e23),e23) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e20,op2(e22,e23))) )],[refute_17_1118,refute_17_1119]) ).
cnf(refute_17_1121,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,h4(e13)) != op2(e21,e20)
| op2(e21,h4(e13)) = op2(e20,e21) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(e21,h4(e13)))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_17_1122,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(e21,h4(e13)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_17_803,refute_17_1121]) ).
cnf(refute_17_1123,plain,
op2(e21,h4(e13)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_17_834,refute_17_1122]) ).
cnf(refute_17_1124,plain,
( op2(e20,op2(e22,e23)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) != op2(e20,e21)
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,op2(e22,e23)),op2(e20,e21)) ),[0],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_17_1125,plain,
( op2(e20,op2(e22,e23)) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e20,e21)) )],[refute_17_1123,refute_17_1124]) ).
cnf(refute_17_1126,plain,
( op2(op2(e21,e23),e23) != op2(e21,h4(e13))
| op2(e20,op2(e22,e23)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e21,h4(e13))) )],[refute_17_1120,refute_17_1125]) ).
cnf(refute_17_1127,plain,
op2(e20,op2(e22,e23)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e23),op2(e21,h4(e13))) )],[refute_17_1111,refute_17_1126]) ).
cnf(refute_17_1128,plain,
( op2(e20,op2(e22,e23)) != op2(e20,e21)
| op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e20,e22),e23) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_17_1129,plain,
( op2(op2(e20,e22),e23) != op2(e20,op2(e22,e23))
| op2(op2(e20,e22),e23) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e23)),op2(e20,e21)) )],[refute_17_1127,refute_17_1128]) ).
cnf(refute_17_1130,plain,
op2(op2(e20,e22),e23) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,op2(e22,e23))) )],[refute_17_1103,refute_17_1129]) ).
cnf(refute_17_1131,plain,
op2(op2(e20,e22),e23) = op2(op2(e20,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e23))]]) ).
cnf(refute_17_1132,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e23) != op2(op2(e20,e22),e23)
| op2(op2(e20,e22),e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_1133,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(op2(e20,e22),e23)) )],[refute_17_1131,refute_17_1132]) ).
cnf(refute_17_1134,plain,
op2(op2(e20,e22),e23) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_17_1053,refute_17_1133]) ).
cnf(refute_17_1135,plain,
( op2(e22,e23) != e21
| op2(op2(e20,e22),e23) != op2(e22,e23)
| op2(op2(e20,e22),e23) = e21 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e20,e22),e23))),bind(Y,$fot(op2(e22,e23))),bind(Z,$fot(e21))]]) ).
cnf(refute_17_1136,plain,
( op2(e22,e23) != e21
| op2(op2(e20,e22),e23) = e21 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e22,e23)) )],[refute_17_1134,refute_17_1135]) ).
cnf(refute_17_1137,plain,
op2(op2(e20,e22),e23) = e21,
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_17_444,refute_17_1136]) ).
cnf(refute_17_1138,plain,
( op2(op2(e20,e22),e23) != e21
| op2(op2(e20,e22),e23) != op2(e20,e21)
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,e21)) ),[0],$fot(e21)]]) ).
cnf(refute_17_1139,plain,
( op2(op2(e20,e22),e23) != op2(e20,e21)
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),e21) )],[refute_17_1137,refute_17_1138]) ).
cnf(refute_17_1140,plain,
e21 = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e23),op2(e20,e21)) )],[refute_17_1130,refute_17_1139]) ).
cnf(refute_17_1141,plain,
( e21 != op2(e20,e21)
| op2(e20,e21) = e21 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e21)))]]) ).
cnf(refute_17_1142,plain,
op2(e20,e21) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_17_1140,refute_17_1141]) ).
cnf(refute_17_1143,plain,
( e21 != e21
| op2(e20,e21) != e21
| e21 = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e20,e21)) ),[1],$fot(e21)]]) ).
cnf(refute_17_1144,plain,
( e21 != e21
| e21 = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e21) )],[refute_17_1142,refute_17_1143]) ).
cnf(refute_17_1145,plain,
( e21 != e21
| h3(op1(e10,e11)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(e21,op2(e20,e21)) )],[refute_17_1144,refute_17_1102]) ).
cnf(refute_17_1146,plain,
( e21 != e21
| e22 != e22
| e23 != e23
| h3(op1(e10,e10)) != h1(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e11)),op2(e20,e21)) )],[refute_17_1145,refute_17_1082]) ).
cnf(refute_17_1147,plain,
op1(e10,unit1) = e10,
inference(canonicalize,[],[normalize_17_80]) ).
cnf(refute_17_1148,plain,
op1(e10,unit1) = op1(e10,unit1),
introduced(tautology,[refl,[$fot(op1(e10,unit1))]]) ).
cnf(refute_17_1149,plain,
( op1(e10,unit1) != op1(e10,unit1)
| unit1 != e10
| op1(e10,unit1) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,unit1),op1(e10,unit1)) ),[1,1],$fot(e10)]]) ).
cnf(refute_17_1150,plain,
( unit1 != e10
| op1(e10,unit1) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,unit1),op1(e10,unit1)) )],[refute_17_1148,refute_17_1149]) ).
cnf(refute_17_1151,plain,
op1(e10,unit1) = op1(e10,e10),
inference(resolve,[$cnf( $equal(unit1,e10) )],[refute_17_997,refute_17_1150]) ).
cnf(refute_17_1152,plain,
( op1(e10,unit1) != e10
| op1(e10,unit1) != op1(e10,e10)
| op1(e10,e10) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,unit1),e10) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_17_1153,plain,
( op1(e10,unit1) != e10
| op1(e10,e10) = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,unit1),op1(e10,e10)) )],[refute_17_1151,refute_17_1152]) ).
cnf(refute_17_1154,plain,
op1(e10,e10) = e10,
inference(resolve,[$cnf( $equal(op1(e10,unit1),e10) )],[refute_17_1147,refute_17_1153]) ).
cnf(refute_17_1155,plain,
h3(op1(e10,e10)) = h3(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h3(op1(e10,e10)))]]) ).
cnf(refute_17_1156,plain,
( h3(op1(e10,e10)) != h3(op1(e10,e10))
| op1(e10,e10) != e10
| h3(op1(e10,e10)) = h3(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_17_1157,plain,
( op1(e10,e10) != e10
| h3(op1(e10,e10)) = h3(e10) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(op1(e10,e10))) )],[refute_17_1155,refute_17_1156]) ).
cnf(refute_17_1158,plain,
h3(op1(e10,e10)) = h3(e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_17_1154,refute_17_1157]) ).
cnf(refute_17_1159,plain,
( h3(e10) != e20
| h3(op1(e10,e10)) != h3(e10)
| h3(op1(e10,e10)) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(h3(op1(e10,e10)))),bind(Y,$fot(h3(e10))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_1160,plain,
( h3(e10) != e20
| h3(op1(e10,e10)) = e20 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h3(e10)) )],[refute_17_1158,refute_17_1159]) ).
cnf(refute_17_1161,plain,
h3(op1(e10,e10)) = e20,
inference(resolve,[$cnf( $equal(h3(e10),e20) )],[refute_17_10,refute_17_1160]) ).
cnf(refute_17_1162,plain,
( e20 != h1(e13)
| h3(op1(e10,e10)) != e20
| h3(op1(e10,e10)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h3(op1(e10,e10)),e20) ),[1],$fot(h1(e13))]]) ).
cnf(refute_17_1163,plain,
( e20 != h1(e13)
| h3(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),e20) )],[refute_17_1161,refute_17_1162]) ).
cnf(refute_17_1164,plain,
op2(op2(e20,e22),e21) = op2(e20,op2(e22,e21)),
inference(canonicalize,[],[normalize_17_81]) ).
cnf(refute_17_1165,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_17_82]) ).
cnf(refute_17_1166,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_17_83]) ).
cnf(refute_17_1167,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_17_1168,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_17_1169,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_17_1167,refute_17_1168]) ).
cnf(refute_17_1170,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_17_369,refute_17_1169]) ).
cnf(refute_17_1171,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_17_1172,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_17_1170,refute_17_1171]) ).
cnf(refute_17_1173,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_17_1166,refute_17_1172]) ).
cnf(refute_17_1174,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_17_5:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_17_1175,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_17_1173,refute_17_1174]) ).
cnf(refute_17_1176,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_17_1177,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_17_1178,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_17_1176,refute_17_1177]) ).
cnf(refute_17_1179,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_17_381,refute_17_1178]) ).
cnf(refute_17_1180,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_17_1181,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_17_1179,refute_17_1180]) ).
cnf(refute_17_1182,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_17_1175,refute_17_1181]) ).
cnf(refute_17_1183,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_17_1184,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_17_1182,refute_17_1183]) ).
cnf(refute_17_1185,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_17_1165,refute_17_1184]) ).
cnf(refute_17_1186,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_17_84]) ).
cnf(refute_17_1187,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_17_1188,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_17_1189,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_17_1187,refute_17_1188]) ).
cnf(refute_17_1190,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_17_369,refute_17_1189]) ).
cnf(refute_17_1191,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_17_1192,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_17_1190,refute_17_1191]) ).
cnf(refute_17_1193,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_17_1186,refute_17_1192]) ).
cnf(refute_17_1194,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_17_1195,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_17_1196,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_17_1194,refute_17_1195]) ).
cnf(refute_17_1197,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_17_381,refute_17_1196]) ).
cnf(refute_17_1198,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_17_1199,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_17_1197,refute_17_1198]) ).
cnf(refute_17_1200,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_17_1185,refute_17_1199]) ).
cnf(refute_17_1201,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_17_1202,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_17_1200,refute_17_1201]) ).
cnf(refute_17_1203,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_17_1193,refute_17_1202]) ).
cnf(refute_17_1204,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_17_1205,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_17_1203,refute_17_1204]) ).
cnf(refute_17_1206,plain,
op2(op2(e21,e23),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_17_1185,refute_17_1205]) ).
cnf(refute_17_1207,plain,
op2(op2(e21,e23),e21) = op2(op2(e21,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e21))]]) ).
cnf(refute_17_1208,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) != op2(op2(e21,e23),e21)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_17_1209,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e21,e23),e21)) )],[refute_17_1207,refute_17_1208]) ).
cnf(refute_17_1210,plain,
op2(op2(e21,e23),e21) = op2(op2(e20,e22),e21),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_17_260,refute_17_1209]) ).
cnf(refute_17_1211,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(op2(e20,e22),e21)
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e21,e23),e21))),bind(Y,$fot(op2(op2(e20,e22),e21))),bind(Z,$fot(op2(e20,op2(e22,e21))))]]) ).
cnf(refute_17_1212,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(op2(e20,e22),e21)) )],[refute_17_1210,refute_17_1211]) ).
cnf(refute_17_1213,plain,
op2(op2(e21,e23),e21) = op2(e20,op2(e22,e21)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_17_1164,refute_17_1212]) ).
cnf(refute_17_1214,plain,
( op2(op2(e21,e23),e21) != op2(e20,op2(e22,e21))
| op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) ),[0],$fot(op2(e20,op2(e22,e21)))]]) ).
cnf(refute_17_1215,plain,
( op2(op2(e21,e23),e21) != op2(e23,h2(e13))
| op2(e20,op2(e22,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e20,op2(e22,e21))) )],[refute_17_1213,refute_17_1214]) ).
cnf(refute_17_1216,plain,
op2(e20,op2(e22,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e23,h2(e13))) )],[refute_17_1206,refute_17_1215]) ).
cnf(refute_17_1217,plain,
( op2(e20,op2(e22,e21)) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_17_1218,plain,
( op2(op2(e20,e22),e21) != op2(e20,op2(e22,e21))
| op2(op2(e20,e22),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e21)),op2(e23,h2(e13))) )],[refute_17_1216,refute_17_1217]) ).
cnf(refute_17_1219,plain,
op2(op2(e20,e22),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e20,op2(e22,e21))) )],[refute_17_1164,refute_17_1218]) ).
cnf(refute_17_1220,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_17_85]) ).
cnf(refute_17_1221,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_17_1222,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_17_1223,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_17_1221,refute_17_1222]) ).
cnf(refute_17_1224,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_17_95,refute_17_1223]) ).
cnf(refute_17_1225,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_17_1226,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_17_1224,refute_17_1225]) ).
cnf(refute_17_1227,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_17_1220,refute_17_1226]) ).
cnf(refute_17_1228,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_17_1229,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_17_1230,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_17_1228,refute_17_1229]) ).
cnf(refute_17_1231,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_17_118,refute_17_1230]) ).
cnf(refute_17_1232,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_17_1233,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_17_1231,refute_17_1232]) ).
cnf(refute_17_1234,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_17_905,refute_17_1233]) ).
cnf(refute_17_1235,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_17_1236,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_17_1234,refute_17_1235]) ).
cnf(refute_17_1237,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_17_1227,refute_17_1236]) ).
cnf(refute_17_1238,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_17_1239,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_17_1240,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_17_1238,refute_17_1239]) ).
cnf(refute_17_1241,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_17_824,refute_17_1240]) ).
cnf(refute_17_1242,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_17_1243,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_17_1241,refute_17_1242]) ).
cnf(refute_17_1244,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_17_1203,refute_17_1243]) ).
cnf(refute_17_1245,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_17_1246,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_17_1244,refute_17_1245]) ).
cnf(refute_17_1247,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_17_1237,refute_17_1246]) ).
cnf(refute_17_1248,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_17_1249,plain,
( op2(op2(e20,e22),e21) != op2(e23,h2(e13))
| op2(op2(e20,e22),e21) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_17_1247,refute_17_1248]) ).
cnf(refute_17_1250,plain,
op2(op2(e20,e22),e21) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e23,h2(e13))) )],[refute_17_1219,refute_17_1249]) ).
cnf(refute_17_1251,plain,
op2(op2(e20,e22),e21) = op2(op2(e20,e22),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e22),e21))]]) ).
cnf(refute_17_1252,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) != op2(op2(e20,e22),e21)
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) ),[1,0],$fot(e22)]]) ).
cnf(refute_17_1253,plain,
( op2(e20,e22) != e22
| op2(op2(e20,e22),e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(op2(e20,e22),e21)) )],[refute_17_1251,refute_17_1252]) ).
cnf(refute_17_1254,plain,
op2(op2(e20,e22),e21) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_17_1053,refute_17_1253]) ).
cnf(refute_17_1255,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) != op2(e22,e21)
| op2(op2(e20,e22),e21) = e20 ),
inference(subst,[],[refute_17_63:[bind(X,$fot(op2(op2(e20,e22),e21))),bind(Y,$fot(op2(e22,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_17_1256,plain,
( op2(e22,e21) != e20
| op2(op2(e20,e22),e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),op2(e22,e21)) )],[refute_17_1254,refute_17_1255]) ).
cnf(refute_17_1257,plain,
op2(op2(e20,e22),e21) = e20,
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_17_542,refute_17_1256]) ).
cnf(refute_17_1258,plain,
( op2(op2(e20,e22),e21) != e20
| op2(op2(e20,e22),e21) != h1(e13)
| e20 = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) ),[0],$fot(e20)]]) ).
cnf(refute_17_1259,plain,
( op2(op2(e20,e22),e21) != h1(e13)
| e20 = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),e20) )],[refute_17_1257,refute_17_1258]) ).
cnf(refute_17_1260,plain,
e20 = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e21),h1(e13)) )],[refute_17_1250,refute_17_1259]) ).
cnf(refute_17_1261,plain,
( e20 != h1(e13)
| h1(e13) = e20 ),
inference(subst,[],[refute_17_5:[bind(X,$fot(e20)),bind(Y,$fot(h1(e13)))]]) ).
cnf(refute_17_1262,plain,
h1(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_17_1260,refute_17_1261]) ).
cnf(refute_17_1263,plain,
( e20 != e20
| h1(e13) != e20
| e20 = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h1(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_17_1264,plain,
( e20 != e20
| e20 = h1(e13) ),
inference(resolve,[$cnf( $equal(h1(e13),e20) )],[refute_17_1262,refute_17_1263]) ).
cnf(refute_17_1265,plain,
( e20 != e20
| h3(op1(e10,e10)) = h1(e13) ),
inference(resolve,[$cnf( $equal(e20,h1(e13)) )],[refute_17_1264,refute_17_1163]) ).
cnf(refute_17_1266,plain,
( e20 != e20
| e21 != e21
| e22 != e22
| e23 != e23 ),
inference(resolve,[$cnf( $equal(h3(op1(e10,e10)),h1(e13)) )],[refute_17_1265,refute_17_1146]) ).
cnf(refute_17_1267,plain,
( e21 != e21
| e22 != e22
| e23 != e23 ),
inference(resolve,[$cnf( $equal(e20,e20) )],[refute_17_930,refute_17_1266]) ).
cnf(refute_17_1268,plain,
( e22 != e22
| e23 != e23 ),
inference(resolve,[$cnf( $equal(e21,e21) )],[refute_17_932,refute_17_1267]) ).
cnf(refute_17_1269,plain,
e22 = e22,
introduced(tautology,[refl,[$fot(e22)]]) ).
cnf(refute_17_1270,plain,
e23 != e23,
inference(resolve,[$cnf( $equal(e22,e22) )],[refute_17_1269,refute_17_1268]) ).
cnf(refute_17_1271,plain,
$false,
inference(resolve,[$cnf( $equal(e23,e23) )],[refute_17_934,refute_17_1270]) ).
fof(negate_18_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22 )
=> h4(e13) = e22 ),
inference(negate,[],[subgoal_18]) ).
fof(normalize_18_0,plain,
( op2(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_18_1,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_2,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_18_3,plain,
h1(e13) = op2(e20,e20),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_4,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_5,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_6,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_7,plain,
( e20 = op2(op2(e22,op2(e22,e22)),e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(e22,e22) ),
inference(canonicalize,[],[ax25]) ).
fof(normalize_18_8,plain,
e23 = op2(e22,e22),
inference(conjunct,[],[normalize_18_7]) ).
fof(normalize_18_9,plain,
e21 = op2(e22,op2(e22,e22)),
inference(conjunct,[],[normalize_18_7]) ).
fof(normalize_18_10,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_11,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_18_12,plain,
h2(e13) = op2(e21,e21),
inference(conjunct,[],[normalize_18_11]) ).
fof(normalize_18_13,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_14,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_18_15,plain,
h4(e13) = op2(e23,e23),
inference(conjunct,[],[normalize_18_14]) ).
fof(normalize_18_16,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(conjunct,[],[normalize_18_7]) ).
fof(normalize_18_17,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_18,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_19,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_20,plain,
( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_18_0]) ).
fof(normalize_18_21,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_18_2]) ).
fof(normalize_18_22,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_18_11]) ).
fof(normalize_18_23,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_18_24,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_18_23]) ).
fof(normalize_18_25,plain,
( h4(e10) != e22
& h4(e11) != e22
& h4(e12) != e22
& h4(e13) != e22
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(simplify,[],[normalize_18_20,normalize_18_21,normalize_18_22,normalize_18_24]) ).
fof(normalize_18_26,plain,
( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 ),
inference(conjunct,[],[normalize_18_25]) ).
fof(normalize_18_27,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(conjunct,[],[normalize_18_14]) ).
fof(normalize_18_28,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_29,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_30,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_31,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_32,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_33,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_34,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(conjunct,[],[normalize_18_14]) ).
fof(normalize_18_35,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_18_14]) ).
fof(normalize_18_36,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
inference(canonicalize,[],[ax20]) ).
fof(normalize_18_37,plain,
e20 != e21,
inference(conjunct,[],[normalize_18_36]) ).
fof(normalize_18_38,plain,
e21 != e23,
inference(conjunct,[],[normalize_18_36]) ).
fof(normalize_18_39,plain,
( op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
inference(canonicalize,[],[ax18]) ).
fof(normalize_18_40,plain,
op2(e20,e23) != op2(e22,e23),
inference(conjunct,[],[normalize_18_39]) ).
fof(normalize_18_41,plain,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_18_42,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(conjunct,[],[normalize_18_41]) ).
fof(normalize_18_43,plain,
op2(e22,e20) != op2(e22,e22),
inference(conjunct,[],[normalize_18_39]) ).
fof(normalize_18_44,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_45,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_46,plain,
op2(e20,e22) != op2(e21,e22),
inference(conjunct,[],[normalize_18_39]) ).
fof(normalize_18_47,plain,
op2(e20,e22) != op2(e23,e22),
inference(conjunct,[],[normalize_18_39]) ).
fof(normalize_18_48,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_49,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_50,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_18_0]) ).
fof(normalize_18_51,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(conjunct,[],[normalize_18_11]) ).
fof(normalize_18_52,plain,
op2(e20,e21) != op2(e22,e21),
inference(conjunct,[],[normalize_18_39]) ).
cnf(refute_18_0,plain,
op2(op2(e20,e20),e20) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_18_1]) ).
cnf(refute_18_1,plain,
h1(e13) = op2(e20,e20),
inference(canonicalize,[],[normalize_18_3]) ).
cnf(refute_18_2,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_18_3,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_18_4,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_18_2,refute_18_3]) ).
cnf(refute_18_5,plain,
( h1(e13) != op2(e20,e20)
| op2(e20,e20) = h1(e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h1(e13))),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_18_6,plain,
op2(e20,e20) = h1(e13),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_18_1,refute_18_5]) ).
cnf(refute_18_7,plain,
op2(op2(e20,e20),e20) = op2(op2(e20,e20),e20),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e20))]]) ).
cnf(refute_18_8,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) != op2(op2(e20,e20),e20)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_18_9,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e20) = op2(h1(e13),e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20)) )],[refute_18_7,refute_18_8]) ).
cnf(refute_18_10,plain,
op2(op2(e20,e20),e20) = op2(h1(e13),e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_9]) ).
cnf(refute_18_11,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(op2(e20,e20),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) ),[0],$fot(op2(h1(e13),e20))]]) ).
cnf(refute_18_12,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = op2(e20,op2(e20,e20)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(h1(e13),e20)) )],[refute_18_10,refute_18_11]) ).
cnf(refute_18_13,plain,
h1(e11) = op2(e20,op2(e20,e20)),
inference(canonicalize,[],[normalize_18_4]) ).
cnf(refute_18_14,plain,
( h1(e11) != op2(e20,op2(e20,e20))
| op2(e20,op2(e20,e20)) = h1(e11) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h1(e11))),bind(Y,$fot(op2(e20,op2(e20,e20))))]]) ).
cnf(refute_18_15,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),op2(e20,op2(e20,e20))) )],[refute_18_13,refute_18_14]) ).
cnf(refute_18_16,plain,
( op2(e20,op2(e20,e20)) != h1(e11)
| op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) ),[1],$fot(h1(e11))]]) ).
cnf(refute_18_17,plain,
( op2(h1(e13),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e20)),h1(e11)) )],[refute_18_15,refute_18_16]) ).
cnf(refute_18_18,plain,
( op2(op2(e20,e20),e20) != op2(e20,op2(e20,e20))
| op2(h1(e13),e20) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,op2(e20,e20))) )],[refute_18_12,refute_18_17]) ).
cnf(refute_18_19,plain,
op2(h1(e13),e20) = h1(e11),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e20),op2(e20,op2(e20,e20))) )],[refute_18_0,refute_18_18]) ).
cnf(refute_18_20,plain,
op2(op2(e20,e23),e22) = op2(e20,op2(e23,e22)),
inference(canonicalize,[],[normalize_18_5]) ).
cnf(refute_18_21,plain,
op2(op2(e22,e22),e22) = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_18_6]) ).
cnf(refute_18_22,plain,
e23 = op2(e22,e22),
inference(canonicalize,[],[normalize_18_8]) ).
cnf(refute_18_23,plain,
( e23 != op2(e22,e22)
| op2(e22,e22) = e23 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e23)),bind(Y,$fot(op2(e22,e22)))]]) ).
cnf(refute_18_24,plain,
op2(e22,e22) = e23,
inference(resolve,[$cnf( $equal(e23,op2(e22,e22)) )],[refute_18_22,refute_18_23]) ).
cnf(refute_18_25,plain,
op2(op2(e22,e22),e22) = op2(op2(e22,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e22))]]) ).
cnf(refute_18_26,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) != op2(op2(e22,e22),e22)
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_27,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22)) )],[refute_18_25,refute_18_26]) ).
cnf(refute_18_28,plain,
op2(op2(e22,e22),e22) = op2(e23,e22),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_24,refute_18_27]) ).
cnf(refute_18_29,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(op2(e22,e22),e22) != op2(e23,e22)
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) ),[0],$fot(op2(e23,e22))]]) ).
cnf(refute_18_30,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = op2(e22,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e23,e22)) )],[refute_18_28,refute_18_29]) ).
cnf(refute_18_31,plain,
e21 = op2(e22,op2(e22,e22)),
inference(canonicalize,[],[normalize_18_9]) ).
cnf(refute_18_32,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = e21 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,op2(e22,e22))))]]) ).
cnf(refute_18_33,plain,
op2(e22,op2(e22,e22)) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_18_31,refute_18_32]) ).
cnf(refute_18_34,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) ),[1],$fot(e21)]]) ).
cnf(refute_18_35,plain,
( op2(e23,e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_18_33,refute_18_34]) ).
cnf(refute_18_36,plain,
( op2(op2(e22,e22),e22) != op2(e22,op2(e22,e22))
| op2(e23,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e23,e22),op2(e22,op2(e22,e22))) )],[refute_18_30,refute_18_35]) ).
cnf(refute_18_37,plain,
op2(e23,e22) = e21,
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e22),op2(e22,op2(e22,e22))) )],[refute_18_21,refute_18_36]) ).
cnf(refute_18_38,plain,
op2(e20,op2(e23,e22)) = op2(e20,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e22)))]]) ).
cnf(refute_18_39,plain,
( op2(e20,op2(e23,e22)) != op2(e20,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_40,plain,
( op2(e23,e22) != e21
| op2(e20,op2(e23,e22)) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,op2(e23,e22))) )],[refute_18_38,refute_18_39]) ).
cnf(refute_18_41,plain,
op2(e20,op2(e23,e22)) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_18_37,refute_18_40]) ).
cnf(refute_18_42,plain,
( op2(e20,op2(e23,e22)) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) ),[1],$fot(op2(e20,e21))]]) ).
cnf(refute_18_43,plain,
( op2(op2(e20,e23),e22) != op2(e20,op2(e23,e22))
| op2(op2(e20,e23),e22) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e22)),op2(e20,e21)) )],[refute_18_41,refute_18_42]) ).
cnf(refute_18_44,plain,
op2(op2(e20,e23),e22) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,op2(e23,e22))) )],[refute_18_20,refute_18_43]) ).
cnf(refute_18_45,plain,
op2(op2(e21,e21),e22) = op2(e21,op2(e21,e22)),
inference(canonicalize,[],[normalize_18_10]) ).
cnf(refute_18_46,plain,
h2(e13) = op2(e21,e21),
inference(canonicalize,[],[normalize_18_12]) ).
cnf(refute_18_47,plain,
( h2(e13) != op2(e21,e21)
| op2(e21,e21) = h2(e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(op2(e21,e21)))]]) ).
cnf(refute_18_48,plain,
op2(e21,e21) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),op2(e21,e21)) )],[refute_18_46,refute_18_47]) ).
cnf(refute_18_49,plain,
op2(op2(e21,e21),e22) = op2(op2(e21,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e22))]]) ).
cnf(refute_18_50,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) != op2(op2(e21,e21),e22)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_51,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(op2(e21,e21),e22)) )],[refute_18_49,refute_18_50]) ).
cnf(refute_18_52,plain,
op2(op2(e21,e21),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_48,refute_18_51]) ).
cnf(refute_18_53,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(op2(e21,e21),e22) != op2(h2(e13),e22)
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) ),[0],$fot(op2(h2(e13),e22))]]) ).
cnf(refute_18_54,plain,
( op2(op2(e21,e21),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,op2(e21,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(h2(e13),e22)) )],[refute_18_52,refute_18_53]) ).
cnf(refute_18_55,plain,
op2(h2(e13),e22) = op2(e21,op2(e21,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e22),op2(e21,op2(e21,e22))) )],[refute_18_45,refute_18_54]) ).
cnf(refute_18_56,plain,
op2(op2(e23,e22),e22) = op2(e23,op2(e22,e22)),
inference(canonicalize,[],[normalize_18_13]) ).
cnf(refute_18_57,plain,
op2(op2(e23,e22),e22) = op2(op2(e23,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e22),e22))]]) ).
cnf(refute_18_58,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) != op2(op2(e23,e22),e22)
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_59,plain,
( op2(e23,e22) != e21
| op2(op2(e23,e22),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(op2(e23,e22),e22)) )],[refute_18_57,refute_18_58]) ).
cnf(refute_18_60,plain,
op2(op2(e23,e22),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_18_37,refute_18_59]) ).
cnf(refute_18_61,plain,
( op2(op2(e23,e22),e22) != op2(e21,e22)
| op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) ),[0],$fot(op2(e21,e22))]]) ).
cnf(refute_18_62,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = op2(e23,op2(e22,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e21,e22)) )],[refute_18_60,refute_18_61]) ).
cnf(refute_18_63,plain,
h4(e13) = op2(e23,e23),
inference(canonicalize,[],[normalize_18_15]) ).
cnf(refute_18_64,plain,
( h4(e13) != op2(e23,e23)
| op2(e23,e23) = h4(e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h4(e13))),bind(Y,$fot(op2(e23,e23)))]]) ).
cnf(refute_18_65,plain,
op2(e23,e23) = h4(e13),
inference(resolve,[$cnf( $equal(h4(e13),op2(e23,e23)) )],[refute_18_63,refute_18_64]) ).
cnf(refute_18_66,plain,
op2(e23,op2(e22,e22)) = op2(e23,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_18_67,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_68,plain,
( op2(e22,e22) != e23
| op2(e23,op2(e22,e22)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,op2(e22,e22))) )],[refute_18_66,refute_18_67]) ).
cnf(refute_18_69,plain,
op2(e23,op2(e22,e22)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_24,refute_18_68]) ).
cnf(refute_18_70,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_18_71,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_18_4,refute_18_70]) ).
cnf(refute_18_72,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) != op2(e23,e23)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e23,op2(e22,e22)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_18_73,plain,
( op2(e23,e23) != h4(e13)
| op2(e23,op2(e22,e22)) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),op2(e23,e23)) )],[refute_18_69,refute_18_72]) ).
cnf(refute_18_74,plain,
op2(e23,op2(e22,e22)) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_65,refute_18_73]) ).
cnf(refute_18_75,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e23,op2(e22,e22)) != h4(e13)
| op2(e21,e22) = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e22),h4(e13)) ),[0],$fot(op2(e23,op2(e22,e22)))]]) ).
cnf(refute_18_76,plain,
( op2(e21,e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e22,e22)),h4(e13)) )],[refute_18_74,refute_18_75]) ).
cnf(refute_18_77,plain,
( op2(op2(e23,e22),e22) != op2(e23,op2(e22,e22))
| op2(e21,e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),op2(e23,op2(e22,e22))) )],[refute_18_62,refute_18_76]) ).
cnf(refute_18_78,plain,
op2(e21,e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(op2(e23,e22),e22),op2(e23,op2(e22,e22))) )],[refute_18_56,refute_18_77]) ).
cnf(refute_18_79,plain,
op2(e21,op2(e21,e22)) = op2(e21,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e21,e22)))]]) ).
cnf(refute_18_80,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) != op2(e21,op2(e21,e22))
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_18_81,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,op2(e21,e22)) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,op2(e21,e22))) )],[refute_18_79,refute_18_80]) ).
cnf(refute_18_82,plain,
op2(e21,op2(e21,e22)) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_18_78,refute_18_81]) ).
cnf(refute_18_83,plain,
( op2(e21,op2(e21,e22)) != op2(e21,h4(e13))
| op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) ),[1],$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_18_84,plain,
( op2(h2(e13),e22) != op2(e21,op2(e21,e22))
| op2(h2(e13),e22) = op2(e21,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e22)),op2(e21,h4(e13))) )],[refute_18_82,refute_18_83]) ).
cnf(refute_18_85,plain,
op2(h2(e13),e22) = op2(e21,h4(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,op2(e21,e22))) )],[refute_18_55,refute_18_84]) ).
cnf(refute_18_86,plain,
e20 = op2(op2(e22,op2(e22,e22)),e22),
inference(canonicalize,[],[normalize_18_16]) ).
cnf(refute_18_87,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(op2(e22,op2(e22,e22)),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_18_88,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_89,plain,
( op2(e22,op2(e22,e22)) != e21
| op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(op2(e22,op2(e22,e22)),e22)) )],[refute_18_87,refute_18_88]) ).
cnf(refute_18_90,plain,
op2(op2(e22,op2(e22,e22)),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),e21) )],[refute_18_33,refute_18_89]) ).
cnf(refute_18_91,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) != op2(e21,e22)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e22,op2(e22,e22)),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_18_92,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e22,op2(e22,e22)),e22) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),op2(e21,e22)) )],[refute_18_90,refute_18_91]) ).
cnf(refute_18_93,plain,
op2(op2(e22,op2(e22,e22)),e22) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_18_78,refute_18_92]) ).
cnf(refute_18_94,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| op2(op2(e22,op2(e22,e22)),e22) != h4(e13)
| e20 = h4(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h4(e13)) ),[0],$fot(op2(op2(e22,op2(e22,e22)),e22))]]) ).
cnf(refute_18_95,plain,
( e20 != op2(op2(e22,op2(e22,e22)),e22)
| e20 = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,op2(e22,e22)),e22),h4(e13)) )],[refute_18_93,refute_18_94]) ).
cnf(refute_18_96,plain,
e20 = h4(e13),
inference(resolve,[$cnf( $equal(e20,op2(op2(e22,op2(e22,e22)),e22)) )],[refute_18_86,refute_18_95]) ).
cnf(refute_18_97,plain,
( e20 != h4(e13)
| h4(e13) = e20 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e20)),bind(Y,$fot(h4(e13)))]]) ).
cnf(refute_18_98,plain,
h4(e13) = e20,
inference(resolve,[$cnf( $equal(e20,h4(e13)) )],[refute_18_96,refute_18_97]) ).
cnf(refute_18_99,plain,
op2(e21,h4(e13)) = op2(e21,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e21,h4(e13)))]]) ).
cnf(refute_18_100,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) != op2(e21,h4(e13))
| op2(e21,h4(e13)) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_101,plain,
( h4(e13) != e20
| op2(e21,h4(e13)) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,h4(e13))) )],[refute_18_99,refute_18_100]) ).
cnf(refute_18_102,plain,
op2(e21,h4(e13)) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_101]) ).
cnf(refute_18_103,plain,
( op2(e21,h4(e13)) != op2(e21,e20)
| op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) ),[1],$fot(op2(e21,e20))]]) ).
cnf(refute_18_104,plain,
( op2(h2(e13),e22) != op2(e21,h4(e13))
| op2(h2(e13),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(e21,h4(e13)),op2(e21,e20)) )],[refute_18_102,refute_18_103]) ).
cnf(refute_18_105,plain,
op2(h2(e13),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,h4(e13))) )],[refute_18_85,refute_18_104]) ).
cnf(refute_18_106,plain,
op2(op2(e21,e23),e22) = op2(e21,op2(e23,e22)),
inference(canonicalize,[],[normalize_18_17]) ).
cnf(refute_18_107,plain,
op2(e21,op2(e23,e22)) = op2(e21,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e22)))]]) ).
cnf(refute_18_108,plain,
( op2(e21,op2(e23,e22)) != op2(e21,op2(e23,e22))
| op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_109,plain,
( op2(e23,e22) != e21
| op2(e21,op2(e23,e22)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,op2(e23,e22))) )],[refute_18_107,refute_18_108]) ).
cnf(refute_18_110,plain,
op2(e21,op2(e23,e22)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_18_37,refute_18_109]) ).
cnf(refute_18_111,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) != op2(e21,e21)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e21,op2(e23,e22)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_18_112,plain,
( op2(e21,e21) != h2(e13)
| op2(e21,op2(e23,e22)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),op2(e21,e21)) )],[refute_18_110,refute_18_111]) ).
cnf(refute_18_113,plain,
op2(e21,op2(e23,e22)) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_48,refute_18_112]) ).
cnf(refute_18_114,plain,
( op2(e21,op2(e23,e22)) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) ),[1],$fot(h2(e13))]]) ).
cnf(refute_18_115,plain,
( op2(op2(e21,e23),e22) != op2(e21,op2(e23,e22))
| op2(op2(e21,e23),e22) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e22)),h2(e13)) )],[refute_18_113,refute_18_114]) ).
cnf(refute_18_116,plain,
op2(op2(e21,e23),e22) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e21,op2(e23,e22))) )],[refute_18_106,refute_18_115]) ).
cnf(refute_18_117,plain,
op2(op2(e20,e22),e22) = op2(e20,op2(e22,e22)),
inference(canonicalize,[],[normalize_18_18]) ).
cnf(refute_18_118,plain,
op2(e20,op2(e22,e22)) = op2(e20,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e22,e22)))]]) ).
cnf(refute_18_119,plain,
( op2(e20,op2(e22,e22)) != op2(e20,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_120,plain,
( op2(e22,e22) != e23
| op2(e20,op2(e22,e22)) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,op2(e22,e22))) )],[refute_18_118,refute_18_119]) ).
cnf(refute_18_121,plain,
op2(e20,op2(e22,e22)) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_24,refute_18_120]) ).
cnf(refute_18_122,plain,
( op2(e20,op2(e22,e22)) != op2(e20,e23)
| op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) ),[1],$fot(op2(e20,e23))]]) ).
cnf(refute_18_123,plain,
( op2(op2(e20,e22),e22) != op2(e20,op2(e22,e22))
| op2(op2(e20,e22),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e22,e22)),op2(e20,e23)) )],[refute_18_121,refute_18_122]) ).
cnf(refute_18_124,plain,
op2(op2(e20,e22),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,op2(e22,e22))) )],[refute_18_117,refute_18_123]) ).
cnf(refute_18_125,plain,
op2(op2(e21,e22),e22) = op2(e21,op2(e22,e22)),
inference(canonicalize,[],[normalize_18_19]) ).
cnf(refute_18_126,plain,
op2(e21,op2(e22,e22)) = op2(e21,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e22,e22)))]]) ).
cnf(refute_18_127,plain,
( op2(e21,op2(e22,e22)) != op2(e21,op2(e22,e22))
| op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_128,plain,
( op2(e22,e22) != e23
| op2(e21,op2(e22,e22)) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,op2(e22,e22))) )],[refute_18_126,refute_18_127]) ).
cnf(refute_18_129,plain,
op2(e21,op2(e22,e22)) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_24,refute_18_128]) ).
cnf(refute_18_130,plain,
( op2(e21,op2(e22,e22)) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) ),[1],$fot(op2(e21,e23))]]) ).
cnf(refute_18_131,plain,
( op2(op2(e21,e22),e22) != op2(e21,op2(e22,e22))
| op2(op2(e21,e22),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e22,e22)),op2(e21,e23)) )],[refute_18_129,refute_18_130]) ).
cnf(refute_18_132,plain,
op2(op2(e21,e22),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,op2(e22,e22))) )],[refute_18_125,refute_18_131]) ).
cnf(refute_18_133,plain,
op2(op2(e21,e22),e22) = op2(op2(e21,e22),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e22),e22))]]) ).
cnf(refute_18_134,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) != op2(op2(e21,e22),e22)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_18_135,plain,
( op2(e21,e22) != h4(e13)
| op2(op2(e21,e22),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(op2(e21,e22),e22)) )],[refute_18_133,refute_18_134]) ).
cnf(refute_18_136,plain,
op2(op2(e21,e22),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_18_78,refute_18_135]) ).
cnf(refute_18_137,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(op2(e21,e22),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) ),[0],$fot(op2(h4(e13),e22))]]) ).
cnf(refute_18_138,plain,
( op2(op2(e21,e22),e22) != op2(e21,e23)
| op2(h4(e13),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(h4(e13),e22)) )],[refute_18_136,refute_18_137]) ).
cnf(refute_18_139,plain,
op2(h4(e13),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e22),e22),op2(e21,e23)) )],[refute_18_132,refute_18_138]) ).
cnf(refute_18_140,plain,
op2(h4(e13),e22) = op2(h4(e13),e22),
introduced(tautology,[refl,[$fot(op2(h4(e13),e22))]]) ).
cnf(refute_18_141,plain,
( h4(e13) != e20
| op2(h4(e13),e22) != op2(h4(e13),e22)
| op2(h4(e13),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_18_142,plain,
( h4(e13) != e20
| op2(h4(e13),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(h4(e13),e22)) )],[refute_18_140,refute_18_141]) ).
cnf(refute_18_143,plain,
op2(h4(e13),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_142]) ).
cnf(refute_18_144,plain,
( op2(h4(e13),e22) != op2(e20,e22)
| op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_18_145,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(e20,e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e20,e22)) )],[refute_18_143,refute_18_144]) ).
cnf(refute_18_146,plain,
op2(e20,e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_18_139,refute_18_145]) ).
cnf(refute_18_147,plain,
( op2(e20,e22) != op2(e21,e23)
| op2(e21,e23) = op2(e20,e22) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e21,e23)))]]) ).
cnf(refute_18_148,plain,
op2(e21,e23) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e23)) )],[refute_18_146,refute_18_147]) ).
cnf(refute_18_149,plain,
op2(op2(e21,e23),e22) = op2(op2(e21,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e21,e23),e22))]]) ).
cnf(refute_18_150,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) != op2(op2(e21,e23),e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) ),[1,0],$fot(op2(e20,e22))]]) ).
cnf(refute_18_151,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e21,e23),e22)) )],[refute_18_149,refute_18_150]) ).
cnf(refute_18_152,plain,
op2(op2(e21,e23),e22) = op2(op2(e20,e22),e22),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_18_148,refute_18_151]) ).
cnf(refute_18_153,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) != op2(op2(e20,e22),e22)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e21,e23),e22))),bind(Y,$fot(op2(op2(e20,e22),e22))),bind(Z,$fot(op2(e20,e23)))]]) ).
cnf(refute_18_154,plain,
( op2(op2(e20,e22),e22) != op2(e20,e23)
| op2(op2(e21,e23),e22) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(op2(e20,e22),e22)) )],[refute_18_152,refute_18_153]) ).
cnf(refute_18_155,plain,
op2(op2(e21,e23),e22) = op2(e20,e23),
inference(resolve,[$cnf( $equal(op2(op2(e20,e22),e22),op2(e20,e23)) )],[refute_18_124,refute_18_154]) ).
cnf(refute_18_156,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(op2(e21,e23),e22) != op2(e20,e23)
| op2(e20,e23) = h2(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) ),[0],$fot(op2(e20,e23))]]) ).
cnf(refute_18_157,plain,
( op2(op2(e21,e23),e22) != h2(e13)
| op2(e20,e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),op2(e20,e23)) )],[refute_18_155,refute_18_156]) ).
cnf(refute_18_158,plain,
op2(e20,e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e22),h2(e13)) )],[refute_18_116,refute_18_157]) ).
cnf(refute_18_159,plain,
op2(op2(e20,e23),e22) = op2(op2(e20,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e22))]]) ).
cnf(refute_18_160,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) != op2(op2(e20,e23),e22)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_161,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e22) = op2(h2(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(op2(e20,e23),e22)) )],[refute_18_159,refute_18_160]) ).
cnf(refute_18_162,plain,
op2(op2(e20,e23),e22) = op2(h2(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_18_158,refute_18_161]) ).
cnf(refute_18_163,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) != op2(h2(e13),e22)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e20,e23),e22))),bind(Y,$fot(op2(h2(e13),e22))),bind(Z,$fot(op2(e21,e20)))]]) ).
cnf(refute_18_164,plain,
( op2(h2(e13),e22) != op2(e21,e20)
| op2(op2(e20,e23),e22) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(h2(e13),e22)) )],[refute_18_162,refute_18_163]) ).
cnf(refute_18_165,plain,
op2(op2(e20,e23),e22) = op2(e21,e20),
inference(resolve,[$cnf( $equal(op2(h2(e13),e22),op2(e21,e20)) )],[refute_18_105,refute_18_164]) ).
cnf(refute_18_166,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(op2(e20,e23),e22) != op2(e21,e20)
| op2(e21,e20) = op2(e20,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_18_167,plain,
( op2(op2(e20,e23),e22) != op2(e20,e21)
| op2(e21,e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e21,e20)) )],[refute_18_165,refute_18_166]) ).
cnf(refute_18_168,plain,
op2(e21,e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e22),op2(e20,e21)) )],[refute_18_44,refute_18_167]) ).
cnf(refute_18_169,plain,
( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 ),
inference(canonicalize,[],[normalize_18_26]) ).
cnf(refute_18_170,plain,
h4(e10) = op2(op2(e23,op2(e23,e23)),e23),
inference(canonicalize,[],[normalize_18_27]) ).
cnf(refute_18_171,plain,
op2(op2(e23,e21),e21) = op2(e23,op2(e21,e21)),
inference(canonicalize,[],[normalize_18_28]) ).
cnf(refute_18_172,plain,
op2(e23,op2(e21,e21)) = op2(e23,op2(e21,e21)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e21,e21)))]]) ).
cnf(refute_18_173,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) != op2(e23,op2(e21,e21))
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) ),[1,1],$fot(h2(e13))]]) ).
cnf(refute_18_174,plain,
( op2(e21,e21) != h2(e13)
| op2(e23,op2(e21,e21)) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,op2(e21,e21))) )],[refute_18_172,refute_18_173]) ).
cnf(refute_18_175,plain,
op2(e23,op2(e21,e21)) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_48,refute_18_174]) ).
cnf(refute_18_176,plain,
( op2(e23,op2(e21,e21)) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) ),[1],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_18_177,plain,
( op2(op2(e23,e21),e21) != op2(e23,op2(e21,e21))
| op2(op2(e23,e21),e21) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e21,e21)),op2(e23,h2(e13))) )],[refute_18_175,refute_18_176]) ).
cnf(refute_18_178,plain,
op2(op2(e23,e21),e21) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,op2(e21,e21))) )],[refute_18_171,refute_18_177]) ).
cnf(refute_18_179,plain,
op2(op2(e21,e23),e21) = op2(e21,op2(e23,e21)),
inference(canonicalize,[],[normalize_18_29]) ).
cnf(refute_18_180,plain,
op2(op2(e21,e21),e23) = op2(e21,op2(e21,e23)),
inference(canonicalize,[],[normalize_18_30]) ).
cnf(refute_18_181,plain,
op2(op2(e21,e21),e23) = op2(op2(e21,e21),e23),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e23))]]) ).
cnf(refute_18_182,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) != op2(op2(e21,e21),e23)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_183,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(op2(e21,e21),e23)) )],[refute_18_181,refute_18_182]) ).
cnf(refute_18_184,plain,
op2(op2(e21,e21),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_48,refute_18_183]) ).
cnf(refute_18_185,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(op2(e21,e21),e23) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_18_186,plain,
( op2(op2(e21,e21),e23) != op2(e21,op2(e21,e23))
| op2(h2(e13),e23) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(h2(e13),e23)) )],[refute_18_184,refute_18_185]) ).
cnf(refute_18_187,plain,
op2(h2(e13),e23) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e23),op2(e21,op2(e21,e23))) )],[refute_18_180,refute_18_186]) ).
cnf(refute_18_188,plain,
( op2(h2(e13),e23) != op2(e21,op2(e21,e23))
| op2(e21,op2(e21,e23)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(op2(h2(e13),e23))),bind(Y,$fot(op2(e21,op2(e21,e23))))]]) ).
cnf(refute_18_189,plain,
op2(e21,op2(e21,e23)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e21,op2(e21,e23))) )],[refute_18_187,refute_18_188]) ).
cnf(refute_18_190,plain,
op2(op2(e23,e23),e22) = op2(e23,op2(e23,e22)),
inference(canonicalize,[],[normalize_18_31]) ).
cnf(refute_18_191,plain,
op2(op2(e23,e23),e22) = op2(op2(e23,e23),e22),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e22))]]) ).
cnf(refute_18_192,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) != op2(op2(e23,e23),e22)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_18_193,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e22) = op2(h4(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(op2(e23,e23),e22)) )],[refute_18_191,refute_18_192]) ).
cnf(refute_18_194,plain,
op2(op2(e23,e23),e22) = op2(h4(e13),e22),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_65,refute_18_193]) ).
cnf(refute_18_195,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(h4(e13),e22)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e23,e23),e22))),bind(Y,$fot(op2(h4(e13),e22))),bind(Z,$fot(op2(e21,e23)))]]) ).
cnf(refute_18_196,plain,
( op2(h4(e13),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) = op2(e21,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(h4(e13),e22)) )],[refute_18_194,refute_18_195]) ).
cnf(refute_18_197,plain,
op2(op2(e23,e23),e22) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(h4(e13),e22),op2(e21,e23)) )],[refute_18_139,refute_18_196]) ).
cnf(refute_18_198,plain,
( op2(op2(e23,e23),e22) != op2(e21,e23)
| op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) ),[0],$fot(op2(e21,e23))]]) ).
cnf(refute_18_199,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,op2(e23,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e21,e23)) )],[refute_18_197,refute_18_198]) ).
cnf(refute_18_200,plain,
op2(e23,op2(e23,e22)) = op2(e23,op2(e23,e22)),
introduced(tautology,[refl,[$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_18_201,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) ),[1,1],$fot(e21)]]) ).
cnf(refute_18_202,plain,
( op2(e23,e22) != e21
| op2(e23,op2(e23,e22)) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,op2(e23,e22))) )],[refute_18_200,refute_18_201]) ).
cnf(refute_18_203,plain,
op2(e23,op2(e23,e22)) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_18_37,refute_18_202]) ).
cnf(refute_18_204,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e23,op2(e23,e22)) != op2(e23,e21)
| op2(e21,e23) = op2(e23,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e21,e23),op2(e23,e21)) ),[0],$fot(op2(e23,op2(e23,e22)))]]) ).
cnf(refute_18_205,plain,
( op2(e21,e23) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e22)),op2(e23,e21)) )],[refute_18_203,refute_18_204]) ).
cnf(refute_18_206,plain,
( op2(op2(e23,e23),e22) != op2(e23,op2(e23,e22))
| op2(e21,e23) = op2(e23,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,op2(e23,e22))) )],[refute_18_199,refute_18_205]) ).
cnf(refute_18_207,plain,
op2(e21,e23) = op2(e23,e21),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e22),op2(e23,op2(e23,e22))) )],[refute_18_190,refute_18_206]) ).
cnf(refute_18_208,plain,
( op2(e21,e23) != op2(e23,e21)
| op2(e23,e21) = op2(e21,e23) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(op2(e21,e23))),bind(Y,$fot(op2(e23,e21)))]]) ).
cnf(refute_18_209,plain,
op2(e23,e21) = op2(e21,e23),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e23,e21)) )],[refute_18_207,refute_18_208]) ).
cnf(refute_18_210,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e21,op2(e23,e21)))]]) ).
cnf(refute_18_211,plain,
( op2(e21,op2(e23,e21)) != op2(e21,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_18_212,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e23,e21))) )],[refute_18_210,refute_18_211]) ).
cnf(refute_18_213,plain,
op2(e21,op2(e23,e21)) = op2(e21,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_18_209,refute_18_212]) ).
cnf(refute_18_214,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) != op2(e21,op2(e21,e23))
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e21,op2(e23,e21)))),bind(Y,$fot(op2(e21,op2(e21,e23)))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_18_215,plain,
( op2(e21,op2(e21,e23)) != op2(h2(e13),e23)
| op2(e21,op2(e23,e21)) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(e21,op2(e21,e23))) )],[refute_18_213,refute_18_214]) ).
cnf(refute_18_216,plain,
op2(e21,op2(e23,e21)) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e23)),op2(h2(e13),e23)) )],[refute_18_189,refute_18_215]) ).
cnf(refute_18_217,plain,
( op2(e21,op2(e23,e21)) != op2(h2(e13),e23)
| op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) ),[1],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_18_218,plain,
( op2(op2(e21,e23),e21) != op2(e21,op2(e23,e21))
| op2(op2(e21,e23),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e23,e21)),op2(h2(e13),e23)) )],[refute_18_216,refute_18_217]) ).
cnf(refute_18_219,plain,
op2(op2(e21,e23),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(e21,op2(e23,e21))) )],[refute_18_179,refute_18_218]) ).
cnf(refute_18_220,plain,
op2(op2(e23,e21),e21) = op2(op2(e23,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e23,e21),e21))]]) ).
cnf(refute_18_221,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) != op2(op2(e23,e21),e21)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) ),[1,0],$fot(op2(e21,e23))]]) ).
cnf(refute_18_222,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e23,e21),e21)) )],[refute_18_220,refute_18_221]) ).
cnf(refute_18_223,plain,
op2(op2(e23,e21),e21) = op2(op2(e21,e23),e21),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_18_209,refute_18_222]) ).
cnf(refute_18_224,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) != op2(op2(e21,e23),e21)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e23,e21),e21))),bind(Y,$fot(op2(op2(e21,e23),e21))),bind(Z,$fot(op2(h2(e13),e23)))]]) ).
cnf(refute_18_225,plain,
( op2(op2(e21,e23),e21) != op2(h2(e13),e23)
| op2(op2(e23,e21),e21) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(op2(e21,e23),e21)) )],[refute_18_223,refute_18_224]) ).
cnf(refute_18_226,plain,
op2(op2(e23,e21),e21) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(op2(e21,e23),e21),op2(h2(e13),e23)) )],[refute_18_219,refute_18_225]) ).
cnf(refute_18_227,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(op2(e23,e21),e21) != op2(h2(e13),e23)
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) ),[0],$fot(op2(h2(e13),e23))]]) ).
cnf(refute_18_228,plain,
( op2(op2(e23,e21),e21) != op2(e23,h2(e13))
| op2(h2(e13),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(h2(e13),e23)) )],[refute_18_226,refute_18_227]) ).
cnf(refute_18_229,plain,
op2(h2(e13),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e23,e21),e21),op2(e23,h2(e13))) )],[refute_18_178,refute_18_228]) ).
cnf(refute_18_230,plain,
op2(op2(e20,e23),e23) = op2(e20,op2(e23,e23)),
inference(canonicalize,[],[normalize_18_32]) ).
cnf(refute_18_231,plain,
op2(e20,op2(e23,e23)) = op2(e20,op2(e23,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e23)))]]) ).
cnf(refute_18_232,plain,
( op2(e20,op2(e23,e23)) != op2(e20,op2(e23,e23))
| op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_18_233,plain,
( op2(e23,e23) != h4(e13)
| op2(e20,op2(e23,e23)) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,op2(e23,e23))) )],[refute_18_231,refute_18_232]) ).
cnf(refute_18_234,plain,
op2(e20,op2(e23,e23)) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_65,refute_18_233]) ).
cnf(refute_18_235,plain,
( op2(e20,op2(e23,e23)) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) ),[1],$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_18_236,plain,
( op2(op2(e20,e23),e23) != op2(e20,op2(e23,e23))
| op2(op2(e20,e23),e23) = op2(e20,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e23)),op2(e20,h4(e13))) )],[refute_18_234,refute_18_235]) ).
cnf(refute_18_237,plain,
op2(op2(e20,e23),e23) = op2(e20,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,op2(e23,e23))) )],[refute_18_230,refute_18_236]) ).
cnf(refute_18_238,plain,
op2(e20,h4(e13)) = op2(e20,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e20,h4(e13)))]]) ).
cnf(refute_18_239,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) != op2(e20,h4(e13))
| op2(e20,h4(e13)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_240,plain,
( h4(e13) != e20
| op2(e20,h4(e13)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,h4(e13))) )],[refute_18_238,refute_18_239]) ).
cnf(refute_18_241,plain,
op2(e20,h4(e13)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_240]) ).
cnf(refute_18_242,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) != op2(e20,e20)
| op2(e20,h4(e13)) = h1(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e20,h4(e13)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_18_243,plain,
( op2(e20,e20) != h1(e13)
| op2(e20,h4(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),op2(e20,e20)) )],[refute_18_241,refute_18_242]) ).
cnf(refute_18_244,plain,
op2(e20,h4(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_243]) ).
cnf(refute_18_245,plain,
( op2(e20,h4(e13)) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_18_246,plain,
( op2(op2(e20,e23),e23) != op2(e20,h4(e13))
| op2(op2(e20,e23),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e20,h4(e13)),h1(e13)) )],[refute_18_244,refute_18_245]) ).
cnf(refute_18_247,plain,
op2(op2(e20,e23),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e20,h4(e13))) )],[refute_18_237,refute_18_246]) ).
cnf(refute_18_248,plain,
op2(op2(e20,e23),e23) = op2(op2(e20,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e23))]]) ).
cnf(refute_18_249,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) != op2(op2(e20,e23),e23)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_250,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(op2(e20,e23),e23)) )],[refute_18_248,refute_18_249]) ).
cnf(refute_18_251,plain,
op2(op2(e20,e23),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_18_158,refute_18_250]) ).
cnf(refute_18_252,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) != op2(h2(e13),e23)
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e20,e23),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(op2(e23,h2(e13))))]]) ).
cnf(refute_18_253,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(op2(e20,e23),e23) = op2(e23,h2(e13)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(h2(e13),e23)) )],[refute_18_251,refute_18_252]) ).
cnf(refute_18_254,plain,
op2(op2(e20,e23),e23) = op2(e23,h2(e13)),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_18_229,refute_18_253]) ).
cnf(refute_18_255,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(op2(e20,e23),e23) != op2(e23,h2(e13))
| op2(e23,h2(e13)) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) ),[0],$fot(op2(e23,h2(e13)))]]) ).
cnf(refute_18_256,plain,
( op2(op2(e20,e23),e23) != h1(e13)
| op2(e23,h2(e13)) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),op2(e23,h2(e13))) )],[refute_18_254,refute_18_255]) ).
cnf(refute_18_257,plain,
op2(e23,h2(e13)) = h1(e13),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e23),h1(e13)) )],[refute_18_247,refute_18_256]) ).
cnf(refute_18_258,plain,
( op2(e23,h2(e13)) != h1(e13)
| op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) ),[1],$fot(h1(e13))]]) ).
cnf(refute_18_259,plain,
( op2(h2(e13),e23) != op2(e23,h2(e13))
| op2(h2(e13),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,h2(e13)),h1(e13)) )],[refute_18_257,refute_18_258]) ).
cnf(refute_18_260,plain,
op2(h2(e13),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),op2(e23,h2(e13))) )],[refute_18_229,refute_18_259]) ).
cnf(refute_18_261,plain,
op2(op2(e23,e23),e23) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_18_33]) ).
cnf(refute_18_262,plain,
op2(op2(e23,e23),e23) = op2(op2(e23,e23),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,e23),e23))]]) ).
cnf(refute_18_263,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) != op2(op2(e23,e23),e23)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) ),[1,0],$fot(h4(e13))]]) ).
cnf(refute_18_264,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e23,e23),e23) = op2(h4(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23)) )],[refute_18_262,refute_18_263]) ).
cnf(refute_18_265,plain,
op2(op2(e23,e23),e23) = op2(h4(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_65,refute_18_264]) ).
cnf(refute_18_266,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(op2(e23,e23),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) ),[0],$fot(op2(h4(e13),e23))]]) ).
cnf(refute_18_267,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = op2(e23,op2(e23,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(h4(e13),e23)) )],[refute_18_265,refute_18_266]) ).
cnf(refute_18_268,plain,
h4(e11) = op2(e23,op2(e23,e23)),
inference(canonicalize,[],[normalize_18_34]) ).
cnf(refute_18_269,plain,
( h4(e11) != op2(e23,op2(e23,e23))
| op2(e23,op2(e23,e23)) = h4(e11) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h4(e11))),bind(Y,$fot(op2(e23,op2(e23,e23))))]]) ).
cnf(refute_18_270,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(resolve,[$cnf( $equal(h4(e11),op2(e23,op2(e23,e23))) )],[refute_18_268,refute_18_269]) ).
cnf(refute_18_271,plain,
( op2(e23,op2(e23,e23)) != h4(e11)
| op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) ),[1],$fot(h4(e11))]]) ).
cnf(refute_18_272,plain,
( op2(h4(e13),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_18_270,refute_18_271]) ).
cnf(refute_18_273,plain,
( op2(op2(e23,e23),e23) != op2(e23,op2(e23,e23))
| op2(h4(e13),e23) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e23,op2(e23,e23))) )],[refute_18_267,refute_18_272]) ).
cnf(refute_18_274,plain,
op2(h4(e13),e23) = h4(e11),
inference(resolve,[$cnf( $equal(op2(op2(e23,e23),e23),op2(e23,op2(e23,e23))) )],[refute_18_261,refute_18_273]) ).
cnf(refute_18_275,plain,
op2(h4(e13),e23) = op2(h4(e13),e23),
introduced(tautology,[refl,[$fot(op2(h4(e13),e23))]]) ).
cnf(refute_18_276,plain,
( h4(e13) != e20
| op2(h4(e13),e23) != op2(h4(e13),e23)
| op2(h4(e13),e23) = op2(e20,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) ),[1,0],$fot(e20)]]) ).
cnf(refute_18_277,plain,
( h4(e13) != e20
| op2(h4(e13),e23) = op2(e20,e23) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(h4(e13),e23)) )],[refute_18_275,refute_18_276]) ).
cnf(refute_18_278,plain,
op2(h4(e13),e23) = op2(e20,e23),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_277]) ).
cnf(refute_18_279,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) != op2(e20,e23)
| op2(h4(e13),e23) = h2(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(h4(e13),e23))),bind(Y,$fot(op2(e20,e23))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_18_280,plain,
( op2(e20,e23) != h2(e13)
| op2(h4(e13),e23) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),op2(e20,e23)) )],[refute_18_278,refute_18_279]) ).
cnf(refute_18_281,plain,
op2(h4(e13),e23) = h2(e13),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_18_158,refute_18_280]) ).
cnf(refute_18_282,plain,
( op2(h4(e13),e23) != h2(e13)
| op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) ),[0],$fot(h2(e13))]]) ).
cnf(refute_18_283,plain,
( op2(h4(e13),e23) != h4(e11)
| h2(e13) = h4(e11) ),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h2(e13)) )],[refute_18_281,refute_18_282]) ).
cnf(refute_18_284,plain,
h2(e13) = h4(e11),
inference(resolve,[$cnf( $equal(op2(h4(e13),e23),h4(e11)) )],[refute_18_274,refute_18_283]) ).
cnf(refute_18_285,plain,
( h2(e13) != h4(e11)
| h4(e11) = h2(e13) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h2(e13))),bind(Y,$fot(h4(e11)))]]) ).
cnf(refute_18_286,plain,
h4(e11) = h2(e13),
inference(resolve,[$cnf( $equal(h2(e13),h4(e11)) )],[refute_18_284,refute_18_285]) ).
cnf(refute_18_287,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) != h4(e11)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e23,op2(e23,e23)))),bind(Y,$fot(h4(e11))),bind(Z,$fot(h2(e13)))]]) ).
cnf(refute_18_288,plain,
( h4(e11) != h2(e13)
| op2(e23,op2(e23,e23)) = h2(e13) ),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h4(e11)) )],[refute_18_270,refute_18_287]) ).
cnf(refute_18_289,plain,
op2(e23,op2(e23,e23)) = h2(e13),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_286,refute_18_288]) ).
cnf(refute_18_290,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(op2(e23,op2(e23,e23)),e23),
introduced(tautology,[refl,[$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_18_291,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_292,plain,
( op2(e23,op2(e23,e23)) != h2(e13)
| op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_18_290,refute_18_291]) ).
cnf(refute_18_293,plain,
op2(op2(e23,op2(e23,e23)),e23) = op2(h2(e13),e23),
inference(resolve,[$cnf( $equal(op2(e23,op2(e23,e23)),h2(e13)) )],[refute_18_289,refute_18_292]) ).
cnf(refute_18_294,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) != op2(h2(e13),e23)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e23,op2(e23,e23)),e23))),bind(Y,$fot(op2(h2(e13),e23))),bind(Z,$fot(h1(e13)))]]) ).
cnf(refute_18_295,plain,
( op2(h2(e13),e23) != h1(e13)
| op2(op2(e23,op2(e23,e23)),e23) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),op2(h2(e13),e23)) )],[refute_18_293,refute_18_294]) ).
cnf(refute_18_296,plain,
op2(op2(e23,op2(e23,e23)),e23) = h1(e13),
inference(resolve,[$cnf( $equal(op2(h2(e13),e23),h1(e13)) )],[refute_18_260,refute_18_295]) ).
cnf(refute_18_297,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| op2(op2(e23,op2(e23,e23)),e23) != h1(e13)
| h4(e10) = h1(e13) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h4(e10),h1(e13)) ),[0],$fot(op2(op2(e23,op2(e23,e23)),e23))]]) ).
cnf(refute_18_298,plain,
( h4(e10) != op2(op2(e23,op2(e23,e23)),e23)
| h4(e10) = h1(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e23,op2(e23,e23)),e23),h1(e13)) )],[refute_18_296,refute_18_297]) ).
cnf(refute_18_299,plain,
h4(e10) = h1(e13),
inference(resolve,[$cnf( $equal(h4(e10),op2(op2(e23,op2(e23,e23)),e23)) )],[refute_18_170,refute_18_298]) ).
cnf(refute_18_300,plain,
( h4(e10) != e21
| h4(e10) != h1(e13)
| h1(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e10),e21) ),[0],$fot(h1(e13))]]) ).
cnf(refute_18_301,plain,
( h4(e10) != e21
| h1(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),h1(e13)) )],[refute_18_299,refute_18_300]) ).
cnf(refute_18_302,plain,
( h1(e13) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e10),e21) )],[refute_18_169,refute_18_301]) ).
cnf(refute_18_303,plain,
( h4(e11) != e21
| h4(e11) != h2(e13)
| h2(e13) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e11),e21) ),[0],$fot(h2(e13))]]) ).
cnf(refute_18_304,plain,
( h4(e11) != e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),h2(e13)) )],[refute_18_286,refute_18_303]) ).
cnf(refute_18_305,plain,
( h1(e13) = e21
| h2(e13) = e21
| h4(e12) = e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e11),e21) )],[refute_18_302,refute_18_304]) ).
cnf(refute_18_306,plain,
h4(e12) = e23,
inference(canonicalize,[],[normalize_18_35]) ).
cnf(refute_18_307,plain,
( h4(e12) != e21
| h4(e12) != e23
| e23 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e12),e21) ),[0],$fot(e23)]]) ).
cnf(refute_18_308,plain,
( h4(e12) != e21
| e23 = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e23) )],[refute_18_306,refute_18_307]) ).
cnf(refute_18_309,plain,
( e23 = e21
| h1(e13) = e21
| h2(e13) = e21
| h4(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e12),e21) )],[refute_18_305,refute_18_308]) ).
cnf(refute_18_310,plain,
( h4(e13) != e20
| h4(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_18_311,plain,
( h4(e13) != e21
| e20 = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_310]) ).
cnf(refute_18_312,plain,
( e20 = e21
| e23 = e21
| h1(e13) = e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(h4(e13),e21) )],[refute_18_309,refute_18_311]) ).
cnf(refute_18_313,plain,
e20 != e21,
inference(canonicalize,[],[normalize_18_37]) ).
cnf(refute_18_314,plain,
( e23 = e21
| h1(e13) = e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_18_312,refute_18_313]) ).
cnf(refute_18_315,plain,
e21 != e23,
inference(canonicalize,[],[normalize_18_38]) ).
cnf(refute_18_316,plain,
( e23 != e21
| e21 = e23 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e23)),bind(Y,$fot(e21))]]) ).
cnf(refute_18_317,plain,
e23 != e21,
inference(resolve,[$cnf( $equal(e21,e23) )],[refute_18_316,refute_18_315]) ).
cnf(refute_18_318,plain,
( h1(e13) = e21
| h2(e13) = e21 ),
inference(resolve,[$cnf( $equal(e23,e21) )],[refute_18_314,refute_18_317]) ).
cnf(refute_18_319,plain,
op2(e20,e23) != op2(e22,e23),
inference(canonicalize,[],[normalize_18_40]) ).
cnf(refute_18_320,plain,
( h2(e13) != op2(e22,e23)
| op2(e20,e23) != h2(e13)
| op2(e20,e23) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e23),h2(e13)) ),[1],$fot(op2(e22,e23))]]) ).
cnf(refute_18_321,plain,
( h2(e13) != op2(e22,e23)
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_18_158,refute_18_320]) ).
cnf(refute_18_322,plain,
op2(e22,op2(e22,e22)) = op2(e22,op2(e22,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_18_323,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) ),[1,1],$fot(e23)]]) ).
cnf(refute_18_324,plain,
( op2(e22,e22) != e23
| op2(e22,op2(e22,e22)) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,op2(e22,e22))) )],[refute_18_322,refute_18_323]) ).
cnf(refute_18_325,plain,
op2(e22,op2(e22,e22)) = op2(e22,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_24,refute_18_324]) ).
cnf(refute_18_326,plain,
( e21 != op2(e22,op2(e22,e22))
| op2(e22,op2(e22,e22)) != op2(e22,e23)
| e21 = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,op2(e22,e23)) ),[0],$fot(op2(e22,op2(e22,e22)))]]) ).
cnf(refute_18_327,plain,
( e21 != op2(e22,op2(e22,e22))
| e21 = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e22)),op2(e22,e23)) )],[refute_18_325,refute_18_326]) ).
cnf(refute_18_328,plain,
e21 = op2(e22,e23),
inference(resolve,[$cnf( $equal(e21,op2(e22,op2(e22,e22))) )],[refute_18_31,refute_18_327]) ).
cnf(refute_18_329,plain,
( e21 != op2(e22,e23)
| op2(e22,e23) = e21 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e22,e23)))]]) ).
cnf(refute_18_330,plain,
op2(e22,e23) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e22,e23)) )],[refute_18_328,refute_18_329]) ).
cnf(refute_18_331,plain,
( h2(e13) != e21
| op2(e22,e23) != e21
| h2(e13) = op2(e22,e23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e13),op2(e22,e23)) ),[1],$fot(e21)]]) ).
cnf(refute_18_332,plain,
( h2(e13) != e21
| h2(e13) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_18_330,refute_18_331]) ).
cnf(refute_18_333,plain,
( h2(e13) != e21
| op2(e20,e23) = op2(e22,e23) ),
inference(resolve,[$cnf( $equal(h2(e13),op2(e22,e23)) )],[refute_18_332,refute_18_321]) ).
cnf(refute_18_334,plain,
h2(e13) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e23),op2(e22,e23)) )],[refute_18_333,refute_18_319]) ).
cnf(refute_18_335,plain,
h1(e13) = e21,
inference(resolve,[$cnf( $equal(h2(e13),e21) )],[refute_18_318,refute_18_334]) ).
cnf(refute_18_336,plain,
op2(h1(e13),e20) = op2(h1(e13),e20),
introduced(tautology,[refl,[$fot(op2(h1(e13),e20))]]) ).
cnf(refute_18_337,plain,
( h1(e13) != e21
| op2(h1(e13),e20) != op2(h1(e13),e20)
| op2(h1(e13),e20) = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_338,plain,
( h1(e13) != e21
| op2(h1(e13),e20) = op2(e21,e20) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(h1(e13),e20)) )],[refute_18_336,refute_18_337]) ).
cnf(refute_18_339,plain,
op2(h1(e13),e20) = op2(e21,e20),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_18_335,refute_18_338]) ).
cnf(refute_18_340,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(h1(e13),e20) != op2(e21,e20)
| op2(h1(e13),e20) = op2(e20,e21) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(h1(e13),e20))),bind(Y,$fot(op2(e21,e20))),bind(Z,$fot(op2(e20,e21)))]]) ).
cnf(refute_18_341,plain,
( op2(e21,e20) != op2(e20,e21)
| op2(h1(e13),e20) = op2(e20,e21) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e21,e20)) )],[refute_18_339,refute_18_340]) ).
cnf(refute_18_342,plain,
op2(h1(e13),e20) = op2(e20,e21),
inference(resolve,[$cnf( $equal(op2(e21,e20),op2(e20,e21)) )],[refute_18_168,refute_18_341]) ).
cnf(refute_18_343,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(h1(e13),e20) != op2(e20,e21)
| op2(e20,e21) = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) ),[0],$fot(op2(e20,e21))]]) ).
cnf(refute_18_344,plain,
( op2(h1(e13),e20) != h1(e11)
| op2(e20,e21) = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),op2(e20,e21)) )],[refute_18_342,refute_18_343]) ).
cnf(refute_18_345,plain,
op2(e20,e21) = h1(e11),
inference(resolve,[$cnf( $equal(op2(h1(e13),e20),h1(e11)) )],[refute_18_19,refute_18_344]) ).
cnf(refute_18_346,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 ),
inference(canonicalize,[],[normalize_18_42]) ).
cnf(refute_18_347,plain,
op2(e22,e20) != op2(e22,e22),
inference(canonicalize,[],[normalize_18_43]) ).
cnf(refute_18_348,plain,
( op2(e22,e20) != e23
| op2(e22,e22) != e23
| op2(e22,e20) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e22,e20),op2(e22,e22)) ),[1],$fot(e23)]]) ).
cnf(refute_18_349,plain,
( op2(e22,e20) != e23
| op2(e22,e20) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_24,refute_18_348]) ).
cnf(refute_18_350,plain,
op2(e22,e20) != e23,
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e22,e22)) )],[refute_18_349,refute_18_347]) ).
cnf(refute_18_351,plain,
( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e23) )],[refute_18_346,refute_18_350]) ).
cnf(refute_18_352,plain,
op2(op2(e22,e21),e22) = op2(e22,op2(e21,e22)),
inference(canonicalize,[],[normalize_18_44]) ).
cnf(refute_18_353,plain,
op2(e22,op2(e21,e22)) = op2(e22,op2(e21,e22)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e21,e22)))]]) ).
cnf(refute_18_354,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) != op2(e22,op2(e21,e22))
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) ),[1,1],$fot(h4(e13))]]) ).
cnf(refute_18_355,plain,
( op2(e21,e22) != h4(e13)
| op2(e22,op2(e21,e22)) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,op2(e21,e22))) )],[refute_18_353,refute_18_354]) ).
cnf(refute_18_356,plain,
op2(e22,op2(e21,e22)) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_18_78,refute_18_355]) ).
cnf(refute_18_357,plain,
( op2(e22,op2(e21,e22)) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) ),[1],$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_18_358,plain,
( op2(op2(e22,e21),e22) != op2(e22,op2(e21,e22))
| op2(op2(e22,e21),e22) = op2(e22,h4(e13)) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e21,e22)),op2(e22,h4(e13))) )],[refute_18_356,refute_18_357]) ).
cnf(refute_18_359,plain,
op2(op2(e22,e21),e22) = op2(e22,h4(e13)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,op2(e21,e22))) )],[refute_18_352,refute_18_358]) ).
cnf(refute_18_360,plain,
op2(e22,h4(e13)) = op2(e22,h4(e13)),
introduced(tautology,[refl,[$fot(op2(e22,h4(e13)))]]) ).
cnf(refute_18_361,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) != op2(e22,h4(e13))
| op2(e22,h4(e13)) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_362,plain,
( h4(e13) != e20
| op2(e22,h4(e13)) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,h4(e13))) )],[refute_18_360,refute_18_361]) ).
cnf(refute_18_363,plain,
op2(e22,h4(e13)) = op2(e22,e20),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_362]) ).
cnf(refute_18_364,plain,
( op2(e22,h4(e13)) != op2(e22,e20)
| op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) ),[1],$fot(op2(e22,e20))]]) ).
cnf(refute_18_365,plain,
( op2(op2(e22,e21),e22) != op2(e22,h4(e13))
| op2(op2(e22,e21),e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(e22,h4(e13)),op2(e22,e20)) )],[refute_18_363,refute_18_364]) ).
cnf(refute_18_366,plain,
op2(op2(e22,e21),e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,h4(e13))) )],[refute_18_359,refute_18_365]) ).
cnf(refute_18_367,plain,
op2(op2(e22,e22),e23) = op2(e22,op2(e22,e23)),
inference(canonicalize,[],[normalize_18_45]) ).
cnf(refute_18_368,plain,
op2(op2(e22,e22),e23) = op2(op2(e22,e22),e23),
introduced(tautology,[refl,[$fot(op2(op2(e22,e22),e23))]]) ).
cnf(refute_18_369,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) != op2(op2(e22,e22),e23)
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) ),[1,0],$fot(e23)]]) ).
cnf(refute_18_370,plain,
( op2(e22,e22) != e23
| op2(op2(e22,e22),e23) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(op2(e22,e22),e23)) )],[refute_18_368,refute_18_369]) ).
cnf(refute_18_371,plain,
op2(op2(e22,e22),e23) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e22,e22),e23) )],[refute_18_24,refute_18_370]) ).
cnf(refute_18_372,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e23,e23)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e22,e22),e23))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(h4(e13)))]]) ).
cnf(refute_18_373,plain,
( op2(e23,e23) != h4(e13)
| op2(op2(e22,e22),e23) = h4(e13) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e23,e23)) )],[refute_18_371,refute_18_372]) ).
cnf(refute_18_374,plain,
op2(op2(e22,e22),e23) = h4(e13),
inference(resolve,[$cnf( $equal(op2(e23,e23),h4(e13)) )],[refute_18_65,refute_18_373]) ).
cnf(refute_18_375,plain,
( op2(op2(e22,e22),e23) != h4(e13)
| op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) ),[0],$fot(h4(e13))]]) ).
cnf(refute_18_376,plain,
( op2(op2(e22,e22),e23) != op2(e22,op2(e22,e23))
| h4(e13) = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),h4(e13)) )],[refute_18_374,refute_18_375]) ).
cnf(refute_18_377,plain,
h4(e13) = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e22,e22),e23),op2(e22,op2(e22,e23))) )],[refute_18_367,refute_18_376]) ).
cnf(refute_18_378,plain,
( h4(e13) != e20
| h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) ),[0],$fot(e20)]]) ).
cnf(refute_18_379,plain,
( h4(e13) != op2(e22,op2(e22,e23))
| e20 = op2(e22,op2(e22,e23)) ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_378]) ).
cnf(refute_18_380,plain,
e20 = op2(e22,op2(e22,e23)),
inference(resolve,[$cnf( $equal(h4(e13),op2(e22,op2(e22,e23))) )],[refute_18_377,refute_18_379]) ).
cnf(refute_18_381,plain,
op2(e22,op2(e22,e23)) = op2(e22,op2(e22,e23)),
introduced(tautology,[refl,[$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_18_382,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_18_383,plain,
( op2(e22,e23) != e21
| op2(e22,op2(e22,e23)) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,op2(e22,e23))) )],[refute_18_381,refute_18_382]) ).
cnf(refute_18_384,plain,
op2(e22,op2(e22,e23)) = op2(e22,e21),
inference(resolve,[$cnf( $equal(op2(e22,e23),e21) )],[refute_18_330,refute_18_383]) ).
cnf(refute_18_385,plain,
( e20 != op2(e22,op2(e22,e23))
| op2(e22,op2(e22,e23)) != op2(e22,e21)
| e20 = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,op2(e22,e21)) ),[0],$fot(op2(e22,op2(e22,e23)))]]) ).
cnf(refute_18_386,plain,
( e20 != op2(e22,op2(e22,e23))
| e20 = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,op2(e22,e23)),op2(e22,e21)) )],[refute_18_384,refute_18_385]) ).
cnf(refute_18_387,plain,
e20 = op2(e22,e21),
inference(resolve,[$cnf( $equal(e20,op2(e22,op2(e22,e23))) )],[refute_18_380,refute_18_386]) ).
cnf(refute_18_388,plain,
( e20 != op2(e22,e21)
| op2(e22,e21) = e20 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e20)),bind(Y,$fot(op2(e22,e21)))]]) ).
cnf(refute_18_389,plain,
op2(e22,e21) = e20,
inference(resolve,[$cnf( $equal(e20,op2(e22,e21)) )],[refute_18_387,refute_18_388]) ).
cnf(refute_18_390,plain,
op2(op2(e22,e21),e22) = op2(op2(e22,e21),e22),
introduced(tautology,[refl,[$fot(op2(op2(e22,e21),e22))]]) ).
cnf(refute_18_391,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) != op2(op2(e22,e21),e22)
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) ),[1,0],$fot(e20)]]) ).
cnf(refute_18_392,plain,
( op2(e22,e21) != e20
| op2(op2(e22,e21),e22) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(op2(e22,e21),e22)) )],[refute_18_390,refute_18_391]) ).
cnf(refute_18_393,plain,
op2(op2(e22,e21),e22) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_18_389,refute_18_392]) ).
cnf(refute_18_394,plain,
( op2(op2(e22,e21),e22) != op2(e20,e22)
| op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_18_395,plain,
( op2(op2(e22,e21),e22) != op2(e22,e20)
| op2(e20,e22) = op2(e22,e20) ),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e20,e22)) )],[refute_18_393,refute_18_394]) ).
cnf(refute_18_396,plain,
op2(e20,e22) = op2(e22,e20),
inference(resolve,[$cnf( $equal(op2(op2(e22,e21),e22),op2(e22,e20)) )],[refute_18_366,refute_18_395]) ).
cnf(refute_18_397,plain,
( op2(e20,e22) != op2(e22,e20)
| op2(e22,e20) = op2(e20,e22) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e22,e20)))]]) ).
cnf(refute_18_398,plain,
op2(e22,e20) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e22,e20)) )],[refute_18_396,refute_18_397]) ).
cnf(refute_18_399,plain,
( op2(e22,e20) != e20
| op2(e22,e20) != op2(e20,e22)
| op2(e20,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e20) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_18_400,plain,
( op2(e22,e20) != e20
| op2(e20,e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e20,e22)) )],[refute_18_398,refute_18_399]) ).
cnf(refute_18_401,plain,
( op2(e20,e22) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e20) )],[refute_18_351,refute_18_400]) ).
cnf(refute_18_402,plain,
( op2(e22,e20) != e21
| op2(e22,e20) != op2(e20,e22)
| op2(e20,e22) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e21) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_18_403,plain,
( op2(e22,e20) != e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e20,e22)) )],[refute_18_398,refute_18_402]) ).
cnf(refute_18_404,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e22,e20) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e21) )],[refute_18_401,refute_18_403]) ).
cnf(refute_18_405,plain,
( op2(e22,e20) != e22
| op2(e22,e20) != op2(e20,e22)
| op2(e20,e22) = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e22,e20),e22) ),[0],$fot(op2(e20,e22))]]) ).
cnf(refute_18_406,plain,
( op2(e22,e20) != e22
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),op2(e20,e22)) )],[refute_18_398,refute_18_405]) ).
cnf(refute_18_407,plain,
( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_18_404,refute_18_406]) ).
cnf(refute_18_408,plain,
op2(e20,e22) != op2(e21,e22),
inference(canonicalize,[],[normalize_18_46]) ).
cnf(refute_18_409,plain,
( h4(e13) != e20
| op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,e22),h4(e13)) ),[1],$fot(e20)]]) ).
cnf(refute_18_410,plain,
( op2(e21,e22) != h4(e13)
| op2(e21,e22) = e20 ),
inference(resolve,[$cnf( $equal(h4(e13),e20) )],[refute_18_98,refute_18_409]) ).
cnf(refute_18_411,plain,
op2(e21,e22) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),h4(e13)) )],[refute_18_78,refute_18_410]) ).
cnf(refute_18_412,plain,
( op2(e20,e22) != e20
| op2(e21,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e21,e22)) ),[1],$fot(e20)]]) ).
cnf(refute_18_413,plain,
( op2(e20,e22) != e20
| op2(e20,e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_18_411,refute_18_412]) ).
cnf(refute_18_414,plain,
op2(e20,e22) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e21,e22)) )],[refute_18_413,refute_18_408]) ).
cnf(refute_18_415,plain,
( op2(e20,e22) = e21
| op2(e20,e22) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e20) )],[refute_18_407,refute_18_414]) ).
cnf(refute_18_416,plain,
op2(e20,e22) != op2(e23,e22),
inference(canonicalize,[],[normalize_18_47]) ).
cnf(refute_18_417,plain,
( op2(e20,e22) != e21
| op2(e23,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e22),op2(e23,e22)) ),[1],$fot(e21)]]) ).
cnf(refute_18_418,plain,
( op2(e20,e22) != e21
| op2(e20,e22) = op2(e23,e22) ),
inference(resolve,[$cnf( $equal(op2(e23,e22),e21) )],[refute_18_37,refute_18_417]) ).
cnf(refute_18_419,plain,
op2(e20,e22) != e21,
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e23,e22)) )],[refute_18_418,refute_18_416]) ).
cnf(refute_18_420,plain,
op2(e20,e22) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_18_415,refute_18_419]) ).
cnf(refute_18_421,plain,
( h1(e13) != e21
| h1(e13) != op2(e20,e20)
| e21 = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(h1(e13),op2(e20,e20)) ),[0],$fot(e21)]]) ).
cnf(refute_18_422,plain,
( h1(e13) != op2(e20,e20)
| e21 = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_18_335,refute_18_421]) ).
cnf(refute_18_423,plain,
e21 = op2(e20,e20),
inference(resolve,[$cnf( $equal(h1(e13),op2(e20,e20)) )],[refute_18_1,refute_18_422]) ).
cnf(refute_18_424,plain,
( e21 != op2(e20,e20)
| op2(e20,e20) = e21 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e21)),bind(Y,$fot(op2(e20,e20)))]]) ).
cnf(refute_18_425,plain,
op2(e20,e20) = e21,
inference(resolve,[$cnf( $equal(e21,op2(e20,e20)) )],[refute_18_423,refute_18_424]) ).
cnf(refute_18_426,plain,
op2(op2(e20,e20),e22) = op2(e20,op2(e20,e22)),
inference(canonicalize,[],[normalize_18_48]) ).
cnf(refute_18_427,plain,
op2(op2(e20,e20),e22) = op2(op2(e20,e20),e22),
introduced(tautology,[refl,[$fot(op2(op2(e20,e20),e22))]]) ).
cnf(refute_18_428,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e22) != op2(op2(e20,e20),e22)
| op2(op2(e20,e20),e22) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e22),op2(op2(e20,e20),e22)) ),[1,0],$fot(h1(e13))]]) ).
cnf(refute_18_429,plain,
( op2(e20,e20) != h1(e13)
| op2(op2(e20,e20),e22) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(op2(e20,e20),e22)) )],[refute_18_427,refute_18_428]) ).
cnf(refute_18_430,plain,
op2(op2(e20,e20),e22) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,e20),h1(e13)) )],[refute_18_6,refute_18_429]) ).
cnf(refute_18_431,plain,
( op2(op2(e20,e20),e22) != op2(e20,op2(e20,e22))
| op2(op2(e20,e20),e22) != op2(h1(e13),e22)
| op2(h1(e13),e22) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e20),e22),op2(e20,op2(e20,e22))) ),[0],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_18_432,plain,
( op2(op2(e20,e20),e22) != op2(e20,op2(e20,e22))
| op2(h1(e13),e22) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(h1(e13),e22)) )],[refute_18_430,refute_18_431]) ).
cnf(refute_18_433,plain,
op2(h1(e13),e22) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e20),e22),op2(e20,op2(e20,e22))) )],[refute_18_426,refute_18_432]) ).
cnf(refute_18_434,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e23,e21)),
inference(canonicalize,[],[normalize_18_49]) ).
cnf(refute_18_435,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e23,e21)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e23,e21)))]]) ).
cnf(refute_18_436,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e23,e21))
| op2(e23,e21) != op2(e21,e23)
| op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) ),[1,1],$fot(op2(e21,e23))]]) ).
cnf(refute_18_437,plain,
( op2(e23,e21) != op2(e21,e23)
| op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e23,e21))) )],[refute_18_435,refute_18_436]) ).
cnf(refute_18_438,plain,
op2(e20,op2(e23,e21)) = op2(e20,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(e23,e21),op2(e21,e23)) )],[refute_18_209,refute_18_437]) ).
cnf(refute_18_439,plain,
( op2(e20,op2(e23,e21)) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) ),[1],$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_18_440,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e23,e21))
| op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e23,e21)),op2(e20,op2(e21,e23))) )],[refute_18_438,refute_18_439]) ).
cnf(refute_18_441,plain,
op2(op2(e20,e23),e21) = op2(e20,op2(e21,e23)),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e23,e21))) )],[refute_18_434,refute_18_440]) ).
cnf(refute_18_442,plain,
( op2(h1(e13),e22) != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) = op2(h1(e13),e22) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(op2(h1(e13),e22))),bind(Y,$fot(op2(e20,op2(e20,e22))))]]) ).
cnf(refute_18_443,plain,
op2(e20,op2(e20,e22)) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(e20,op2(e20,e22))) )],[refute_18_433,refute_18_442]) ).
cnf(refute_18_444,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e21,e23)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e21,e23)))]]) ).
cnf(refute_18_445,plain,
( op2(e20,op2(e21,e23)) != op2(e20,op2(e21,e23))
| op2(e21,e23) != op2(e20,e22)
| op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) ),[1,1],$fot(op2(e20,e22))]]) ).
cnf(refute_18_446,plain,
( op2(e21,e23) != op2(e20,e22)
| op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e21,e23))) )],[refute_18_444,refute_18_445]) ).
cnf(refute_18_447,plain,
op2(e20,op2(e21,e23)) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(e21,e23),op2(e20,e22)) )],[refute_18_148,refute_18_446]) ).
cnf(refute_18_448,plain,
( op2(e20,op2(e20,e22)) != op2(h1(e13),e22)
| op2(e20,op2(e21,e23)) != op2(e20,op2(e20,e22))
| op2(e20,op2(e21,e23)) = op2(h1(e13),e22) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e20,op2(e21,e23)))),bind(Y,$fot(op2(e20,op2(e20,e22)))),bind(Z,$fot(op2(h1(e13),e22)))]]) ).
cnf(refute_18_449,plain,
( op2(e20,op2(e20,e22)) != op2(h1(e13),e22)
| op2(e20,op2(e21,e23)) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(e20,op2(e20,e22))) )],[refute_18_447,refute_18_448]) ).
cnf(refute_18_450,plain,
op2(e20,op2(e21,e23)) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(h1(e13),e22)) )],[refute_18_443,refute_18_449]) ).
cnf(refute_18_451,plain,
( op2(e20,op2(e21,e23)) != op2(h1(e13),e22)
| op2(op2(e20,e23),e21) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e21,e23))) ),[1],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_18_452,plain,
( op2(op2(e20,e23),e21) != op2(e20,op2(e21,e23))
| op2(op2(e20,e23),e21) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e21,e23)),op2(h1(e13),e22)) )],[refute_18_450,refute_18_451]) ).
cnf(refute_18_453,plain,
op2(op2(e20,e23),e21) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(e20,op2(e21,e23))) )],[refute_18_441,refute_18_452]) ).
cnf(refute_18_454,plain,
op2(op2(e21,e21),e21) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_18_50]) ).
cnf(refute_18_455,plain,
op2(op2(e21,e21),e21) = op2(op2(e21,e21),e21),
introduced(tautology,[refl,[$fot(op2(op2(e21,e21),e21))]]) ).
cnf(refute_18_456,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) != op2(op2(e21,e21),e21)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_457,plain,
( op2(e21,e21) != h2(e13)
| op2(op2(e21,e21),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) )],[refute_18_455,refute_18_456]) ).
cnf(refute_18_458,plain,
op2(op2(e21,e21),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e21,e21),h2(e13)) )],[refute_18_48,refute_18_457]) ).
cnf(refute_18_459,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(op2(e21,e21),e21) != op2(h2(e13),e21)
| op2(h2(e13),e21) = op2(e21,op2(e21,e21)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) ),[0],$fot(op2(h2(e13),e21))]]) ).
cnf(refute_18_460,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = op2(e21,op2(e21,e21)) ),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(h2(e13),e21)) )],[refute_18_458,refute_18_459]) ).
cnf(refute_18_461,plain,
h2(e11) = op2(e21,op2(e21,e21)),
inference(canonicalize,[],[normalize_18_51]) ).
cnf(refute_18_462,plain,
( h2(e11) != op2(e21,op2(e21,e21))
| op2(e21,op2(e21,e21)) = h2(e11) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(e21,op2(e21,e21))))]]) ).
cnf(refute_18_463,plain,
op2(e21,op2(e21,e21)) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(e21,op2(e21,e21))) )],[refute_18_461,refute_18_462]) ).
cnf(refute_18_464,plain,
( op2(e21,op2(e21,e21)) != h2(e11)
| op2(h2(e13),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h2(e13),e21),op2(e21,op2(e21,e21))) ),[1],$fot(h2(e11))]]) ).
cnf(refute_18_465,plain,
( op2(h2(e13),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(e21,op2(e21,e21)),h2(e11)) )],[refute_18_463,refute_18_464]) ).
cnf(refute_18_466,plain,
( op2(op2(e21,e21),e21) != op2(e21,op2(e21,e21))
| op2(h2(e13),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),op2(e21,op2(e21,e21))) )],[refute_18_460,refute_18_465]) ).
cnf(refute_18_467,plain,
op2(h2(e13),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(op2(e21,e21),e21),op2(e21,op2(e21,e21))) )],[refute_18_454,refute_18_466]) ).
cnf(refute_18_468,plain,
op2(op2(e20,e23),e21) = op2(op2(e20,e23),e21),
introduced(tautology,[refl,[$fot(op2(op2(e20,e23),e21))]]) ).
cnf(refute_18_469,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e21) != op2(op2(e20,e23),e21)
| op2(op2(e20,e23),e21) = op2(h2(e13),e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) ),[1,0],$fot(h2(e13))]]) ).
cnf(refute_18_470,plain,
( op2(e20,e23) != h2(e13)
| op2(op2(e20,e23),e21) = op2(h2(e13),e21) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(op2(e20,e23),e21)) )],[refute_18_468,refute_18_469]) ).
cnf(refute_18_471,plain,
op2(op2(e20,e23),e21) = op2(h2(e13),e21),
inference(resolve,[$cnf( $equal(op2(e20,e23),h2(e13)) )],[refute_18_158,refute_18_470]) ).
cnf(refute_18_472,plain,
( op2(h2(e13),e21) != h2(e11)
| op2(op2(e20,e23),e21) != op2(h2(e13),e21)
| op2(op2(e20,e23),e21) = h2(e11) ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(op2(e20,e23),e21))),bind(Y,$fot(op2(h2(e13),e21))),bind(Z,$fot(h2(e11)))]]) ).
cnf(refute_18_473,plain,
( op2(h2(e13),e21) != h2(e11)
| op2(op2(e20,e23),e21) = h2(e11) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h2(e13),e21)) )],[refute_18_471,refute_18_472]) ).
cnf(refute_18_474,plain,
op2(op2(e20,e23),e21) = h2(e11),
inference(resolve,[$cnf( $equal(op2(h2(e13),e21),h2(e11)) )],[refute_18_467,refute_18_473]) ).
cnf(refute_18_475,plain,
( op2(op2(e20,e23),e21) != h2(e11)
| op2(op2(e20,e23),e21) != op2(h1(e13),e22)
| h2(e11) = op2(h1(e13),e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h1(e13),e22)) ),[0],$fot(h2(e11))]]) ).
cnf(refute_18_476,plain,
( op2(op2(e20,e23),e21) != op2(h1(e13),e22)
| h2(e11) = op2(h1(e13),e22) ),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),h2(e11)) )],[refute_18_474,refute_18_475]) ).
cnf(refute_18_477,plain,
h2(e11) = op2(h1(e13),e22),
inference(resolve,[$cnf( $equal(op2(op2(e20,e23),e21),op2(h1(e13),e22)) )],[refute_18_453,refute_18_476]) ).
cnf(refute_18_478,plain,
( h2(e11) != op2(h1(e13),e22)
| op2(h1(e13),e22) = h2(e11) ),
inference(subst,[],[refute_18_4:[bind(X,$fot(h2(e11))),bind(Y,$fot(op2(h1(e13),e22)))]]) ).
cnf(refute_18_479,plain,
op2(h1(e13),e22) = h2(e11),
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e13),e22)) )],[refute_18_477,refute_18_478]) ).
cnf(refute_18_480,plain,
( op2(h1(e13),e22) != h2(e11)
| op2(h1(e13),e22) != op2(e20,op2(e20,e22))
| h2(e11) = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e22),op2(e20,op2(e20,e22))) ),[0],$fot(h2(e11))]]) ).
cnf(refute_18_481,plain,
( op2(h1(e13),e22) != op2(e20,op2(e20,e22))
| h2(e11) = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),h2(e11)) )],[refute_18_479,refute_18_480]) ).
cnf(refute_18_482,plain,
h2(e11) = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(e20,op2(e20,e22))) )],[refute_18_433,refute_18_481]) ).
cnf(refute_18_483,plain,
op2(h1(e13),e22) = op2(h1(e13),e22),
introduced(tautology,[refl,[$fot(op2(h1(e13),e22))]]) ).
cnf(refute_18_484,plain,
( h1(e13) != e21
| op2(h1(e13),e22) != op2(h1(e13),e22)
| op2(h1(e13),e22) = op2(e21,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h1(e13),e22),op2(h1(e13),e22)) ),[1,0],$fot(e21)]]) ).
cnf(refute_18_485,plain,
( h1(e13) != e21
| op2(h1(e13),e22) = op2(e21,e22) ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(h1(e13),e22)) )],[refute_18_483,refute_18_484]) ).
cnf(refute_18_486,plain,
op2(h1(e13),e22) = op2(e21,e22),
inference(resolve,[$cnf( $equal(h1(e13),e21) )],[refute_18_335,refute_18_485]) ).
cnf(refute_18_487,plain,
( op2(e21,e22) != e20
| op2(h1(e13),e22) != op2(e21,e22)
| op2(h1(e13),e22) = e20 ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(h1(e13),e22))),bind(Y,$fot(op2(e21,e22))),bind(Z,$fot(e20))]]) ).
cnf(refute_18_488,plain,
( op2(e21,e22) != e20
| op2(h1(e13),e22) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),op2(e21,e22)) )],[refute_18_486,refute_18_487]) ).
cnf(refute_18_489,plain,
op2(h1(e13),e22) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e22),e20) )],[refute_18_411,refute_18_488]) ).
cnf(refute_18_490,plain,
( h2(e11) != op2(h1(e13),e22)
| op2(h1(e13),e22) != e20
| h2(e11) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h2(e11),e20) ),[0],$fot(op2(h1(e13),e22))]]) ).
cnf(refute_18_491,plain,
( h2(e11) != op2(h1(e13),e22)
| h2(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(h1(e13),e22),e20) )],[refute_18_489,refute_18_490]) ).
cnf(refute_18_492,plain,
h2(e11) = e20,
inference(resolve,[$cnf( $equal(h2(e11),op2(h1(e13),e22)) )],[refute_18_477,refute_18_491]) ).
cnf(refute_18_493,plain,
( h2(e11) != e20
| h2(e11) != op2(e20,op2(e20,e22))
| e20 = op2(e20,op2(e20,e22)) ),
introduced(tautology,[equality,[$cnf( $equal(h2(e11),op2(e20,op2(e20,e22))) ),[0],$fot(e20)]]) ).
cnf(refute_18_494,plain,
( h2(e11) != op2(e20,op2(e20,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(resolve,[$cnf( $equal(h2(e11),e20) )],[refute_18_492,refute_18_493]) ).
cnf(refute_18_495,plain,
e20 = op2(e20,op2(e20,e22)),
inference(resolve,[$cnf( $equal(h2(e11),op2(e20,op2(e20,e22))) )],[refute_18_482,refute_18_494]) ).
cnf(refute_18_496,plain,
op2(e20,op2(e20,e22)) = op2(e20,op2(e20,e22)),
introduced(tautology,[refl,[$fot(op2(e20,op2(e20,e22)))]]) ).
cnf(refute_18_497,plain,
( op2(e20,e22) != e22
| op2(e20,op2(e20,e22)) != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) = op2(e20,e22) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,op2(e20,e22))) ),[1,1],$fot(e22)]]) ).
cnf(refute_18_498,plain,
( op2(e20,e22) != e22
| op2(e20,op2(e20,e22)) = op2(e20,e22) ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,op2(e20,e22))) )],[refute_18_496,refute_18_497]) ).
cnf(refute_18_499,plain,
op2(e20,op2(e20,e22)) = op2(e20,e22),
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_18_420,refute_18_498]) ).
cnf(refute_18_500,plain,
( op2(e20,e22) != e22
| op2(e20,op2(e20,e22)) != op2(e20,e22)
| op2(e20,op2(e20,e22)) = e22 ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e20,op2(e20,e22)))),bind(Y,$fot(op2(e20,e22))),bind(Z,$fot(e22))]]) ).
cnf(refute_18_501,plain,
( op2(e20,e22) != e22
| op2(e20,op2(e20,e22)) = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),op2(e20,e22)) )],[refute_18_499,refute_18_500]) ).
cnf(refute_18_502,plain,
op2(e20,op2(e20,e22)) = e22,
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_18_420,refute_18_501]) ).
cnf(refute_18_503,plain,
( e20 != op2(e20,op2(e20,e22))
| op2(e20,op2(e20,e22)) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e20,op2(e20,e22)))]]) ).
cnf(refute_18_504,plain,
( e20 != op2(e20,op2(e20,e22))
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,op2(e20,e22)),e22) )],[refute_18_502,refute_18_503]) ).
cnf(refute_18_505,plain,
e20 = e22,
inference(resolve,[$cnf( $equal(e20,op2(e20,op2(e20,e22))) )],[refute_18_495,refute_18_504]) ).
cnf(refute_18_506,plain,
( e20 != e22
| e22 = e20 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e20)),bind(Y,$fot(e22))]]) ).
cnf(refute_18_507,plain,
e22 = e20,
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_18_505,refute_18_506]) ).
cnf(refute_18_508,plain,
op2(e20,e22) = op2(e20,e22),
introduced(tautology,[refl,[$fot(op2(e20,e22))]]) ).
cnf(refute_18_509,plain,
( e22 != e20
| op2(e20,e22) != op2(e20,e22)
| op2(e20,e22) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_510,plain,
( e22 != e20
| op2(e20,e22) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e22)) )],[refute_18_508,refute_18_509]) ).
cnf(refute_18_511,plain,
op2(e20,e22) = op2(e20,e20),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_18_507,refute_18_510]) ).
cnf(refute_18_512,plain,
( op2(e20,e20) != e21
| op2(e20,e22) != op2(e20,e20)
| op2(e20,e22) = e21 ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e20,e22))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e21))]]) ).
cnf(refute_18_513,plain,
( op2(e20,e20) != e21
| op2(e20,e22) = e21 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),op2(e20,e20)) )],[refute_18_511,refute_18_512]) ).
cnf(refute_18_514,plain,
op2(e20,e22) = e21,
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_18_425,refute_18_513]) ).
cnf(refute_18_515,plain,
( op2(e20,e22) != e21
| op2(e20,e22) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e22),e22) ),[0],$fot(e21)]]) ).
cnf(refute_18_516,plain,
( op2(e20,e22) != e22
| e21 = e22 ),
inference(resolve,[$cnf( $equal(op2(e20,e22),e21) )],[refute_18_514,refute_18_515]) ).
cnf(refute_18_517,plain,
( e21 != e22
| e22 != e20
| e21 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e21,e20) ),[0],$fot(e22)]]) ).
cnf(refute_18_518,plain,
( e21 != e22
| e21 = e20 ),
inference(resolve,[$cnf( $equal(e22,e20) )],[refute_18_507,refute_18_517]) ).
cnf(refute_18_519,plain,
( op2(e20,e22) != e22
| e21 = e20 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_18_516,refute_18_518]) ).
cnf(refute_18_520,plain,
e21 = e20,
inference(resolve,[$cnf( $equal(op2(e20,e22),e22) )],[refute_18_420,refute_18_519]) ).
cnf(refute_18_521,plain,
( e21 != e20
| op2(e20,e20) != e21
| op2(e20,e20) = e20 ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e20,e20))),bind(Y,$fot(e21)),bind(Z,$fot(e20))]]) ).
cnf(refute_18_522,plain,
( e21 != e20
| op2(e20,e20) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e20),e21) )],[refute_18_425,refute_18_521]) ).
cnf(refute_18_523,plain,
op2(e20,e20) = e20,
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_18_520,refute_18_522]) ).
cnf(refute_18_524,plain,
op2(e20,e21) = op2(e20,e21),
introduced(tautology,[refl,[$fot(op2(e20,e21))]]) ).
cnf(refute_18_525,plain,
( e21 != e20
| op2(e20,e21) != op2(e20,e21)
| op2(e20,e21) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),op2(e20,e21)) ),[1,1],$fot(e20)]]) ).
cnf(refute_18_526,plain,
( e21 != e20
| op2(e20,e21) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e21)) )],[refute_18_524,refute_18_525]) ).
cnf(refute_18_527,plain,
op2(e20,e21) = op2(e20,e20),
inference(resolve,[$cnf( $equal(e21,e20) )],[refute_18_520,refute_18_526]) ).
cnf(refute_18_528,plain,
( op2(e20,e20) != e20
| op2(e20,e21) != op2(e20,e20)
| op2(e20,e21) = e20 ),
inference(subst,[],[refute_18_71:[bind(X,$fot(op2(e20,e21))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_18_529,plain,
( op2(e20,e20) != e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e20,e20)) )],[refute_18_527,refute_18_528]) ).
cnf(refute_18_530,plain,
op2(e20,e21) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_18_523,refute_18_529]) ).
cnf(refute_18_531,plain,
( op2(e20,e21) != e20
| op2(e20,e21) != h1(e11)
| e20 = h1(e11) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h1(e11)) ),[0],$fot(e20)]]) ).
cnf(refute_18_532,plain,
( op2(e20,e21) != h1(e11)
| e20 = h1(e11) ),
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_18_530,refute_18_531]) ).
cnf(refute_18_533,plain,
e20 = h1(e11),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_18_345,refute_18_532]) ).
cnf(refute_18_534,plain,
op2(e20,e21) != op2(e22,e21),
inference(canonicalize,[],[normalize_18_52]) ).
cnf(refute_18_535,plain,
( op2(e20,e21) != e20
| op2(e22,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
introduced(tautology,[equality,[$cnf( ~ $equal(op2(e20,e21),op2(e22,e21)) ),[1],$fot(e20)]]) ).
cnf(refute_18_536,plain,
( op2(e20,e21) != e20
| op2(e20,e21) = op2(e22,e21) ),
inference(resolve,[$cnf( $equal(op2(e22,e21),e20) )],[refute_18_389,refute_18_535]) ).
cnf(refute_18_537,plain,
op2(e20,e21) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),op2(e22,e21)) )],[refute_18_536,refute_18_534]) ).
cnf(refute_18_538,plain,
( h1(e11) != e20
| op2(e20,e21) != h1(e11)
| op2(e20,e21) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,e21),h1(e11)) ),[1],$fot(e20)]]) ).
cnf(refute_18_539,plain,
( h1(e11) != e20
| op2(e20,e21) = e20 ),
inference(resolve,[$cnf( $equal(op2(e20,e21),h1(e11)) )],[refute_18_345,refute_18_538]) ).
cnf(refute_18_540,plain,
h1(e11) != e20,
inference(resolve,[$cnf( $equal(op2(e20,e21),e20) )],[refute_18_539,refute_18_537]) ).
cnf(refute_18_541,plain,
( e20 != h1(e11)
| h1(e11) = e20 ),
inference(subst,[],[refute_18_4:[bind(X,$fot(e20)),bind(Y,$fot(h1(e11)))]]) ).
cnf(refute_18_542,plain,
e20 != h1(e11),
inference(resolve,[$cnf( $equal(h1(e11),e20) )],[refute_18_541,refute_18_540]) ).
cnf(refute_18_543,plain,
$false,
inference(resolve,[$cnf( $equal(e20,h1(e11)) )],[refute_18_533,refute_18_542]) ).
fof(negate_19_0,plain,
~ ( ( ~ ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
& ~ ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
& ~ ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23 )
=> h4(e13) = e23 ),
inference(negate,[],[subgoal_19]) ).
fof(normalize_19_0,plain,
( h4(e10) != e23
& h4(e11) != e23
& h4(e12) != e23
& h4(e13) != e23
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( h1(e10) != e20
& h1(e11) != e20
& h1(e12) != e20
& h1(e13) != e20 )
| ( h1(e10) != e21
& h1(e11) != e21
& h1(e12) != e21
& h1(e13) != e21 )
| ( h1(e10) != e22
& h1(e11) != e22
& h1(e12) != e22
& h1(e13) != e22 )
| ( h1(e10) != e23
& h1(e11) != e23
& h1(e12) != e23
& h1(e13) != e23 ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( h2(e10) != e20
& h2(e11) != e20
& h2(e12) != e20
& h2(e13) != e20 )
| ( h2(e10) != e21
& h2(e11) != e21
& h2(e12) != e21
& h2(e13) != e21 )
| ( h2(e10) != e22
& h2(e11) != e22
& h2(e12) != e22
& h2(e13) != e22 )
| ( h2(e10) != e23
& h2(e11) != e23
& h2(e12) != e23
& h2(e13) != e23 ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( h3(e10) != e20
& h3(e11) != e20
& h3(e12) != e20
& h3(e13) != e20 )
| ( h3(e10) != e21
& h3(e11) != e21
& h3(e12) != e21
& h3(e13) != e21 )
| ( h3(e10) != e22
& h3(e11) != e22
& h3(e12) != e22
& h3(e13) != e22 )
| ( h3(e10) != e23
& h3(e11) != e23
& h3(e12) != e23
& h3(e13) != e23 ) ) ),
inference(canonicalize,[],[negate_19_0]) ).
fof(normalize_19_1,plain,
( h4(e10) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e11) = op2(e23,op2(e23,e23))
& h4(e12) = e23
& h4(e13) = op2(e23,e23) ),
inference(canonicalize,[],[ax29]) ).
fof(normalize_19_2,plain,
h4(e12) = e23,
inference(conjunct,[],[normalize_19_1]) ).
fof(normalize_19_3,plain,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e11) = op2(e20,op2(e20,e20))
& h1(e12) = e20
& h1(e13) = op2(e20,e20) ),
inference(canonicalize,[],[ax26]) ).
fof(normalize_19_4,plain,
h1(e12) = e20,
inference(conjunct,[],[normalize_19_3]) ).
fof(normalize_19_5,plain,
( h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e11) = op2(e21,op2(e21,e21))
& h2(e12) = e21
& h2(e13) = op2(e21,e21) ),
inference(canonicalize,[],[ax27]) ).
fof(normalize_19_6,plain,
h2(e12) = e21,
inference(conjunct,[],[normalize_19_5]) ).
fof(normalize_19_7,plain,
( h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e11) = op2(e22,op2(e22,e22))
& h3(e12) = e22
& h3(e13) = op2(e22,e22) ),
inference(canonicalize,[],[ax28]) ).
fof(normalize_19_8,plain,
h3(e12) = e22,
inference(conjunct,[],[normalize_19_7]) ).
fof(normalize_19_9,plain,
$false,
inference(simplify,[],[normalize_19_0,normalize_19_2,normalize_19_4,normalize_19_6,normalize_19_8]) ).
cnf(refute_19_0,plain,
$false,
inference(canonicalize,[],[normalize_19_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG016+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 22:28:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 5.05/5.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.05/5.26
% 5.05/5.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.03/6.25
%------------------------------------------------------------------------------