%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG031+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 17:31:39 EDT 2022
% Result : Theorem 9.53s 9.71s
% Output : CNFRefutation 9.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 114
% Number of leaves : 191
% Syntax : Number of formulae : 717 ( 212 unt; 0 def)
% Number of atoms : 2802 (2801 equ)
% Maximal formula atoms : 156 ( 3 avg)
% Number of connectives : 2688 ( 603 ~;1509 |; 573 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 12 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e10 != e15
& e11 != e12
& e11 != e13
& e11 != e14
& e11 != e15
& e12 != e13
& e12 != e14
& e12 != e15
& e13 != e14
& e13 != e15
& e14 != e15 ) ).
fof(ax2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e20 != e25
& e21 != e22
& e21 != e23
& e21 != e24
& e21 != e25
& e22 != e23
& e22 != e24
& e22 != e25
& e23 != e24
& e23 != e25
& e24 != e25 ) ).
fof(ax4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e10,e15) = e15
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e14
& op1(e11,e13) = e15
& op1(e11,e14) = e12
& op1(e11,e15) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e15
& op1(e12,e15) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e15
& op1(e13,e12) = e10
& op1(e13,e13) = e12
& op1(e13,e14) = e11
& op1(e13,e15) = e14
& op1(e14,e10) = e14
& op1(e14,e11) = e12
& op1(e14,e12) = e15
& op1(e14,e13) = e11
& op1(e14,e14) = e13
& op1(e14,e15) = e10
& op1(e15,e10) = e15
& op1(e15,e11) = e13
& op1(e15,e12) = e11
& op1(e15,e13) = e14
& op1(e15,e14) = e10
& op1(e15,e15) = e12 ) ).
fof(ax5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e20,e25) = e25
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e23
& op2(e21,e23) = e22
& op2(e21,e24) = e25
& op2(e21,e25) = e24
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e20
& op2(e22,e23) = e25
& op2(e22,e24) = e21
& op2(e22,e25) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e25
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e23,e25) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e22
& op2(e24,e22) = e25
& op2(e24,e23) = e20
& op2(e24,e24) = e23
& op2(e24,e25) = e21
& op2(e25,e20) = e25
& op2(e25,e21) = e23
& op2(e25,e22) = e24
& op2(e25,e23) = e21
& op2(e25,e24) = e22
& op2(e25,e25) = e20 ) ).
fof(co1,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 ) ) ).
fof(subgoal_0,plain,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 )
=> j(h(e15)) != e15 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 )
=> j(h(e15)) != e15 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e10,e15) = e15
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e14
& op1(e11,e13) = e15
& op1(e11,e14) = e12
& op1(e11,e15) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e13
& op1(e12,e13) = e10
& op1(e12,e14) = e15
& op1(e12,e15) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e15
& op1(e13,e12) = e10
& op1(e13,e13) = e12
& op1(e13,e14) = e11
& op1(e13,e15) = e14
& op1(e14,e10) = e14
& op1(e14,e11) = e12
& op1(e14,e12) = e15
& op1(e14,e13) = e11
& op1(e14,e14) = e13
& op1(e14,e15) = e10
& op1(e15,e10) = e15
& op1(e15,e11) = e13
& op1(e15,e12) = e11
& op1(e15,e13) = e14
& op1(e15,e14) = e10
& op1(e15,e15) = e12 ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_1,plain,
op1(e11,e12) = e14,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
op1(e10,e12) = e12,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
( h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15 ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
j(h(e11)) = e11,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
j(h(e10)) = e10,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_7,plain,
op1(e10,e10) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_8,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_9,plain,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e20,e25) = e25
& op2(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e23
& op2(e21,e23) = e22
& op2(e21,e24) = e25
& op2(e21,e25) = e24
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e20
& op2(e22,e23) = e25
& op2(e22,e24) = e21
& op2(e22,e25) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e25
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e23,e25) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e22
& op2(e24,e22) = e25
& op2(e24,e23) = e20
& op2(e24,e24) = e23
& op2(e24,e25) = e21
& op2(e25,e20) = e25
& op2(e25,e21) = e23
& op2(e25,e22) = e24
& op2(e25,e23) = e21
& op2(e25,e24) = e22
& op2(e25,e25) = e20 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_10,plain,
op2(e21,e21) = e20,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
op2(e22,e22) = e20,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_12,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e20 != e25
& e21 != e22
& e21 != e23
& e21 != e24
& e21 != e25
& e22 != e23
& e22 != e24
& e22 != e25
& e23 != e24
& e23 != e25
& e24 != e25 ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_0_13,plain,
e21 != e22,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
op2(e23,e23) = e24,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_15,plain,
op2(e24,e24) = e23,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_16,plain,
op2(e24,e23) = e20,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_17,plain,
op2(e25,e25) = e20,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_18,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_19,plain,
op1(e13,e12) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_20,plain,
h(j(e23)) = e23,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_21,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_22,plain,
j(h(e12)) = e12,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_23,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_24,plain,
op1(e12,e12) = e13,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_25,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_26,plain,
op1(e12,e13) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_27,plain,
j(h(e15)) = e15,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_28,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_29,plain,
op1(e14,e12) = e15,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_30,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_31,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_32,plain,
op1(e14,e10) = e14,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_33,plain,
j(h(e14)) = e14,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_34,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e10 != e15
& e11 != e12
& e11 != e13
& e11 != e14
& e11 != e15
& e12 != e13
& e12 != e14
& e12 != e15
& e13 != e14
& e13 != e15
& e14 != e15 ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_35,plain,
e14 != e15,
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_36,plain,
op2(e21,e20) = e21,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_37,plain,
e20 != e21,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_38,plain,
op2(e22,e20) = e22,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_39,plain,
e20 != e22,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_40,plain,
op2(e25,e20) = e25,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_41,plain,
e20 != e25,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_42,plain,
h(op1(e12,e15)) = op2(h(e12),h(e15)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_43,plain,
op1(e12,e15) = e11,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_44,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_45,plain,
j(h(e13)) = e13,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_46,plain,
h(op1(e15,e15)) = op2(h(e15),h(e15)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_47,plain,
op1(e15,e15) = e12,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_48,plain,
( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_49,plain,
h(op1(e10,e15)) = op2(h(e10),h(e15)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_50,plain,
op1(e10,e15) = e15,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_51,plain,
e12 != e15,
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_52,plain,
e22 != e25,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_53,plain,
e21 != e25,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_54,plain,
op1(e13,e15) = e14,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_55,plain,
e10 != e14,
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_56,plain,
op2(e23,e24) = e20,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_57,plain,
op2(e23,e20) = e23,
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_58,plain,
e23 != e24,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_59,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_60,plain,
op1(e13,e13) = e12,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_61,plain,
h(op1(e15,e13)) = op2(h(e15),h(e13)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_62,plain,
op1(e15,e13) = e14,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_63,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_64,plain,
h(op1(e15,e10)) = op2(h(e15),h(e10)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_65,plain,
op1(e15,e10) = e15,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_66,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_67,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_68,plain,
op1(e15,e12) = e11,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_69,plain,
e10 != e11,
inference(conjunct,[],[normalize_0_34]) ).
fof(normalize_0_70,plain,
e20 != e24,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_71,plain,
e20 != e23,
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_72,plain,
e12 != e14,
inference(conjunct,[],[normalize_0_34]) ).
cnf(refute_0_0,plain,
op1(e11,e12) = e14,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
op1(e10,e12) = e12,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
j(h(e11)) = e11,
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
j(h(e10)) = e10,
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
op1(e10,e10) = e10,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
h(op1(e10,e10)) = h(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h(op1(e10,e10)))]]) ).
cnf(refute_0_7,plain,
( h(op1(e10,e10)) != h(op1(e10,e10))
| op1(e10,e10) != e10
| h(op1(e10,e10)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e10,e10)),h(op1(e10,e10))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_8,plain,
( op1(e10,e10) != e10
| h(op1(e10,e10)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e10,e10)),h(op1(e10,e10))) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
h(op1(e10,e10)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
( h(op1(e10,e10)) != h(e10)
| h(op1(e10,e10)) != op2(h(e10),h(e10))
| h(e10) = op2(h(e10),h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e10,e10)),op2(h(e10),h(e10))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_11,plain,
( h(op1(e10,e10)) != op2(h(e10),h(e10))
| h(e10) = op2(h(e10),h(e10)) ),
inference(resolve,[$cnf( $equal(h(op1(e10,e10)),h(e10)) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
h(e10) = op2(h(e10),h(e10)),
inference(resolve,[$cnf( $equal(h(op1(e10,e10)),op2(h(e10),h(e10))) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_14,plain,
( h(e10) != e21
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(h(e10),e21) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_15,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(h(e10),e21) ),
inference(resolve,[$cnf( $equal(h(e10),e21) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(h(e10),e21) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
( h(e10) != e21
| h(e10) != op2(h(e10),e21)
| h(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_18,plain,
( h(e10) != op2(h(e10),e21)
| h(e10) = e20
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h(e10),e21) )],[refute_0_13,refute_0_17]) ).
cnf(refute_0_19,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),e21)) )],[refute_0_16,refute_0_18]) ).
cnf(refute_0_20,plain,
op2(e21,e21) = e20,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_21,plain,
( h(e10) != op2(e21,e21)
| op2(e21,e21) != e20
| h(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e20) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_0_22,plain,
( h(e10) != op2(e21,e21)
| h(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( h(e10) = e20
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e21,e21)) )],[refute_0_19,refute_0_22]) ).
cnf(refute_0_24,plain,
( h(e10) != e22
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e22,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_25,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e22,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e22) )],[refute_0_13,refute_0_24]) ).
cnf(refute_0_26,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e22,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_12,refute_0_25]) ).
cnf(refute_0_27,plain,
( h(e10) != e22
| h(e10) != op2(e22,h(e10))
| h(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e22,h(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_28,plain,
( h(e10) != op2(e22,h(e10))
| h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h(e10),e22) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e22,h(e10))) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
op2(e22,e22) = e20,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_31,plain,
( h(e10) != op2(e22,e22)
| op2(e22,e22) != e20
| h(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e20) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_32,plain,
( h(e10) != op2(e22,e22)
| h(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e22,e22)) )],[refute_0_29,refute_0_32]) ).
cnf(refute_0_34,plain,
( h(e10) != e21
| h(e10) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_35,plain,
( h(e10) != e22
| e21 = e22
| h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),e21) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( e21 = e22
| h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),e22) )],[refute_0_23,refute_0_35]) ).
cnf(refute_0_37,plain,
e21 != e22,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_38,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( h(e10) != e23
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e23,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_40,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e23,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e23) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( h(e10) = e20
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e23,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_12,refute_0_40]) ).
cnf(refute_0_42,plain,
( h(e10) != e23
| h(e10) != op2(e23,h(e10))
| h(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e23,h(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_43,plain,
( h(e10) != op2(e23,h(e10))
| h(e10) = e20
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h(e10),e23) )],[refute_0_38,refute_0_42]) ).
cnf(refute_0_44,plain,
( h(e10) = e20
| h(e10) = e24
| h(e10) = e25
| h(e10) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e23,h(e10))) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
op2(e23,e23) = e24,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_46,plain,
( h(e10) != op2(e23,e23)
| op2(e23,e23) != e24
| h(e10) = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e24) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_0_47,plain,
( h(e10) != op2(e23,e23)
| h(e10) = e24 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e24) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( h(e10) = e20
| h(e10) = e24
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e23,e23)) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
( h(e10) != e24
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e24,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e24)]]) ).
cnf(refute_0_50,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = e25
| h(e10) = op2(e24,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e24) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( h(e10) = e20
| h(e10) = e25
| h(e10) = op2(e24,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_12,refute_0_50]) ).
cnf(refute_0_52,plain,
( h(e10) != e24
| h(e10) != op2(e24,h(e10))
| h(e10) = op2(e24,e24) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e24,h(e10))) ),[1,1],$fot(e24)]]) ).
cnf(refute_0_53,plain,
( h(e10) != op2(e24,h(e10))
| h(e10) = e20
| h(e10) = e25
| h(e10) = op2(e24,e24) ),
inference(resolve,[$cnf( $equal(h(e10),e24) )],[refute_0_48,refute_0_52]) ).
cnf(refute_0_54,plain,
( h(e10) = e20
| h(e10) = e25
| h(e10) = op2(e24,e24) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e24,h(e10))) )],[refute_0_51,refute_0_53]) ).
cnf(refute_0_55,plain,
op2(e24,e24) = e23,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_56,plain,
( h(e10) != op2(e24,e24)
| op2(e24,e24) != e23
| h(e10) = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e23) ),[0],$fot(op2(e24,e24))]]) ).
cnf(refute_0_57,plain,
( h(e10) != op2(e24,e24)
| h(e10) = e23 ),
inference(resolve,[$cnf( $equal(op2(e24,e24),e23) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e24,e24)) )],[refute_0_54,refute_0_57]) ).
cnf(refute_0_59,plain,
( h(e10) != e23
| h(e10) != op2(e24,h(e10))
| h(e10) = op2(e24,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e24,h(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_60,plain,
( h(e10) != op2(e24,h(e10))
| h(e10) = e20
| h(e10) = e25
| h(e10) = op2(e24,e23) ),
inference(resolve,[$cnf( $equal(h(e10),e23) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( h(e10) = e20
| h(e10) = e25
| h(e10) = op2(e24,e23) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e24,h(e10))) )],[refute_0_51,refute_0_60]) ).
cnf(refute_0_62,plain,
op2(e24,e23) = e20,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_63,plain,
( h(e10) != op2(e24,e23)
| op2(e24,e23) != e20
| h(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e20) ),[0],$fot(op2(e24,e23))]]) ).
cnf(refute_0_64,plain,
( h(e10) != op2(e24,e23)
| h(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e24,e23),e20) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( h(e10) = e20
| h(e10) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e24,e23)) )],[refute_0_61,refute_0_64]) ).
cnf(refute_0_66,plain,
( h(e10) != e25
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e25,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e25)]]) ).
cnf(refute_0_67,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = op2(e25,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e25) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( h(e10) = e20
| h(e10) = op2(e25,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_12,refute_0_67]) ).
cnf(refute_0_69,plain,
( h(e10) != e25
| h(e10) != op2(e25,h(e10))
| h(e10) = op2(e25,e25) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e25,h(e10))) ),[1,1],$fot(e25)]]) ).
cnf(refute_0_70,plain,
( h(e10) != op2(e25,h(e10))
| h(e10) = e20
| h(e10) = op2(e25,e25) ),
inference(resolve,[$cnf( $equal(h(e10),e25) )],[refute_0_65,refute_0_69]) ).
cnf(refute_0_71,plain,
( h(e10) = e20
| h(e10) = op2(e25,e25) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e25,h(e10))) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
op2(e25,e25) = e20,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_73,plain,
( h(e10) != op2(e25,e25)
| op2(e25,e25) != e20
| h(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e20) ),[0],$fot(op2(e25,e25))]]) ).
cnf(refute_0_74,plain,
( h(e10) != op2(e25,e25)
| h(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e25,e25),e20) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
h(e10) = e20,
inference(resolve,[$cnf( $equal(h(e10),op2(e25,e25)) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
j(h(e10)) = j(h(e10)),
introduced(tautology,[refl,[$fot(j(h(e10)))]]) ).
cnf(refute_0_77,plain,
( h(e10) != e20
| j(h(e10)) != j(h(e10))
| j(h(e10)) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e10)),j(h(e10))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_78,plain,
( h(e10) != e20
| j(h(e10)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(h(e10)),j(h(e10))) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
j(h(e10)) = j(e20),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
( j(h(e10)) != e10
| j(h(e10)) != j(e20)
| j(e20) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e10)),e10) ),[0],$fot(j(e20))]]) ).
cnf(refute_0_81,plain,
( j(h(e10)) != e10
| j(e20) = e10 ),
inference(resolve,[$cnf( $equal(j(h(e10)),j(e20)) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
j(e20) = e10,
inference(resolve,[$cnf( $equal(j(h(e10)),e10) )],[refute_0_3,refute_0_81]) ).
cnf(refute_0_83,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_84,plain,
op1(e13,e12) = e10,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_85,plain,
h(op1(e13,e12)) = h(op1(e13,e12)),
introduced(tautology,[refl,[$fot(h(op1(e13,e12)))]]) ).
cnf(refute_0_86,plain,
( h(op1(e13,e12)) != h(op1(e13,e12))
| op1(e13,e12) != e10
| h(op1(e13,e12)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e13,e12)),h(op1(e13,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_87,plain,
( op1(e13,e12) != e10
| h(op1(e13,e12)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e13,e12)),h(op1(e13,e12))) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
h(op1(e13,e12)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e13,e12),e10) )],[refute_0_84,refute_0_87]) ).
cnf(refute_0_89,plain,
( h(op1(e13,e12)) != h(e10)
| h(op1(e13,e12)) != op2(h(e13),h(e12))
| h(e10) = op2(h(e13),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e13,e12)),op2(h(e13),h(e12))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_90,plain,
( h(op1(e13,e12)) != op2(h(e13),h(e12))
| h(e10) = op2(h(e13),h(e12)) ),
inference(resolve,[$cnf( $equal(h(op1(e13,e12)),h(e10)) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
h(e10) = op2(h(e13),h(e12)),
inference(resolve,[$cnf( $equal(h(op1(e13,e12)),op2(h(e13),h(e12))) )],[refute_0_83,refute_0_90]) ).
cnf(refute_0_92,plain,
( h(e10) != e20
| h(e10) != op2(h(e13),h(e12))
| e20 = op2(h(e13),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e13),h(e12))) ),[0],$fot(e20)]]) ).
cnf(refute_0_93,plain,
( h(e10) != op2(h(e13),h(e12))
| e20 = op2(h(e13),h(e12)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_75,refute_0_92]) ).
cnf(refute_0_94,plain,
e20 = op2(h(e13),h(e12)),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e13),h(e12))) )],[refute_0_91,refute_0_93]) ).
cnf(refute_0_95,plain,
h(j(e23)) = e23,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_96,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_97,plain,
j(op2(e24,e24)) = j(op2(e24,e24)),
introduced(tautology,[refl,[$fot(j(op2(e24,e24)))]]) ).
cnf(refute_0_98,plain,
( j(op2(e24,e24)) != j(op2(e24,e24))
| op2(e24,e24) != e23
| j(op2(e24,e24)) = j(e23) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e24,e24)),j(op2(e24,e24))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_99,plain,
( op2(e24,e24) != e23
| j(op2(e24,e24)) = j(e23) ),
inference(resolve,[$cnf( $equal(j(op2(e24,e24)),j(op2(e24,e24))) )],[refute_0_97,refute_0_98]) ).
cnf(refute_0_100,plain,
j(op2(e24,e24)) = j(e23),
inference(resolve,[$cnf( $equal(op2(e24,e24),e23) )],[refute_0_55,refute_0_99]) ).
cnf(refute_0_101,plain,
( j(op2(e24,e24)) != j(e23)
| j(op2(e24,e24)) != op1(j(e24),j(e24))
| j(e23) = op1(j(e24),j(e24)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e24,e24)),op1(j(e24),j(e24))) ),[0],$fot(j(e23))]]) ).
cnf(refute_0_102,plain,
( j(op2(e24,e24)) != op1(j(e24),j(e24))
| j(e23) = op1(j(e24),j(e24)) ),
inference(resolve,[$cnf( $equal(j(op2(e24,e24)),j(e23)) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
j(e23) = op1(j(e24),j(e24)),
inference(resolve,[$cnf( $equal(j(op2(e24,e24)),op1(j(e24),j(e24))) )],[refute_0_96,refute_0_102]) ).
cnf(refute_0_104,plain,
j(h(e12)) = e12,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_105,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_106,plain,
op1(e12,e12) = e13,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_107,plain,
h(op1(e12,e12)) = h(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h(op1(e12,e12)))]]) ).
cnf(refute_0_108,plain,
( h(op1(e12,e12)) != h(op1(e12,e12))
| op1(e12,e12) != e13
| h(op1(e12,e12)) = h(e13) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e12)),h(op1(e12,e12))) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_109,plain,
( op1(e12,e12) != e13
| h(op1(e12,e12)) = h(e13) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e12)),h(op1(e12,e12))) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
h(op1(e12,e12)) = h(e13),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
( h(op1(e12,e12)) != h(e13)
| h(op1(e12,e12)) != op2(h(e12),h(e12))
| h(e13) = op2(h(e12),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e12)),op2(h(e12),h(e12))) ),[0],$fot(h(e13))]]) ).
cnf(refute_0_112,plain,
( h(op1(e12,e12)) != op2(h(e12),h(e12))
| h(e13) = op2(h(e12),h(e12)) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e12)),h(e13)) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
h(e13) = op2(h(e12),h(e12)),
inference(resolve,[$cnf( $equal(h(op1(e12,e12)),op2(h(e12),h(e12))) )],[refute_0_105,refute_0_112]) ).
cnf(refute_0_114,plain,
h(op1(e12,e13)) = op2(h(e12),h(e13)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_115,plain,
op1(e12,e13) = e10,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_116,plain,
h(op1(e12,e13)) = h(op1(e12,e13)),
introduced(tautology,[refl,[$fot(h(op1(e12,e13)))]]) ).
cnf(refute_0_117,plain,
( h(op1(e12,e13)) != h(op1(e12,e13))
| op1(e12,e13) != e10
| h(op1(e12,e13)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e13)),h(op1(e12,e13))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_118,plain,
( op1(e12,e13) != e10
| h(op1(e12,e13)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e13)),h(op1(e12,e13))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
h(op1(e12,e13)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e12,e13),e10) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( h(op1(e12,e13)) != h(e10)
| h(op1(e12,e13)) != op2(h(e12),h(e13))
| h(e10) = op2(h(e12),h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e13)),op2(h(e12),h(e13))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_121,plain,
( h(op1(e12,e13)) != op2(h(e12),h(e13))
| h(e10) = op2(h(e12),h(e13)) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e13)),h(e10)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
h(e10) = op2(h(e12),h(e13)),
inference(resolve,[$cnf( $equal(h(op1(e12,e13)),op2(h(e12),h(e13))) )],[refute_0_114,refute_0_121]) ).
cnf(refute_0_123,plain,
( h(e10) != e20
| h(e10) != op2(h(e12),h(e13))
| e20 = op2(h(e12),h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e12),h(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_0_124,plain,
( h(e10) != op2(h(e12),h(e13))
| e20 = op2(h(e12),h(e13)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_75,refute_0_123]) ).
cnf(refute_0_125,plain,
e20 = op2(h(e12),h(e13)),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e12),h(e13))) )],[refute_0_122,refute_0_124]) ).
cnf(refute_0_126,plain,
j(h(e15)) = e15,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_127,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_128,plain,
op1(e14,e12) = e15,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_129,plain,
h(op1(e14,e12)) = h(op1(e14,e12)),
introduced(tautology,[refl,[$fot(h(op1(e14,e12)))]]) ).
cnf(refute_0_130,plain,
( h(op1(e14,e12)) != h(op1(e14,e12))
| op1(e14,e12) != e15
| h(op1(e14,e12)) = h(e15) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e14,e12)),h(op1(e14,e12))) ),[1,0],$fot(e15)]]) ).
cnf(refute_0_131,plain,
( op1(e14,e12) != e15
| h(op1(e14,e12)) = h(e15) ),
inference(resolve,[$cnf( $equal(h(op1(e14,e12)),h(op1(e14,e12))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
h(op1(e14,e12)) = h(e15),
inference(resolve,[$cnf( $equal(op1(e14,e12),e15) )],[refute_0_128,refute_0_131]) ).
cnf(refute_0_133,plain,
( h(op1(e14,e12)) != h(e15)
| h(op1(e14,e12)) != op2(h(e14),h(e12))
| h(e15) = op2(h(e14),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e14,e12)),op2(h(e14),h(e12))) ),[0],$fot(h(e15))]]) ).
cnf(refute_0_134,plain,
( h(op1(e14,e12)) != op2(h(e14),h(e12))
| h(e15) = op2(h(e14),h(e12)) ),
inference(resolve,[$cnf( $equal(h(op1(e14,e12)),h(e15)) )],[refute_0_132,refute_0_133]) ).
cnf(refute_0_135,plain,
h(e15) = op2(h(e14),h(e12)),
inference(resolve,[$cnf( $equal(h(op1(e14,e12)),op2(h(e14),h(e12))) )],[refute_0_127,refute_0_134]) ).
cnf(refute_0_136,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_137,plain,
( h(e12) != e20
| h(e15) != op2(h(e14),h(e12))
| h(e15) = op2(h(e14),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h(e15),op2(h(e14),h(e12))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_138,plain,
( h(e15) != op2(h(e14),h(e12))
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e15) = op2(h(e14),e20) ),
inference(resolve,[$cnf( $equal(h(e12),e20) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e15) = op2(h(e14),e20) ),
inference(resolve,[$cnf( $equal(h(e15),op2(h(e14),h(e12))) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_141,plain,
op1(e14,e10) = e14,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_142,plain,
h(op1(e14,e10)) = h(op1(e14,e10)),
introduced(tautology,[refl,[$fot(h(op1(e14,e10)))]]) ).
cnf(refute_0_143,plain,
( h(op1(e14,e10)) != h(op1(e14,e10))
| op1(e14,e10) != e14
| h(op1(e14,e10)) = h(e14) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e14,e10)),h(op1(e14,e10))) ),[1,0],$fot(e14)]]) ).
cnf(refute_0_144,plain,
( op1(e14,e10) != e14
| h(op1(e14,e10)) = h(e14) ),
inference(resolve,[$cnf( $equal(h(op1(e14,e10)),h(op1(e14,e10))) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
h(op1(e14,e10)) = h(e14),
inference(resolve,[$cnf( $equal(op1(e14,e10),e14) )],[refute_0_141,refute_0_144]) ).
cnf(refute_0_146,plain,
( h(op1(e14,e10)) != h(e14)
| h(op1(e14,e10)) != op2(h(e14),h(e10))
| h(e14) = op2(h(e14),h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e14,e10)),op2(h(e14),h(e10))) ),[0],$fot(h(e14))]]) ).
cnf(refute_0_147,plain,
( h(op1(e14,e10)) != op2(h(e14),h(e10))
| h(e14) = op2(h(e14),h(e10)) ),
inference(resolve,[$cnf( $equal(h(op1(e14,e10)),h(e14)) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
h(e14) = op2(h(e14),h(e10)),
inference(resolve,[$cnf( $equal(h(op1(e14,e10)),op2(h(e14),h(e10))) )],[refute_0_140,refute_0_147]) ).
cnf(refute_0_149,plain,
op2(h(e14),h(e10)) = op2(h(e14),h(e10)),
introduced(tautology,[refl,[$fot(op2(h(e14),h(e10)))]]) ).
cnf(refute_0_150,plain,
( h(e10) != e20
| op2(h(e14),h(e10)) != op2(h(e14),h(e10))
| op2(h(e14),h(e10)) = op2(h(e14),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e14),h(e10)),op2(h(e14),h(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_151,plain,
( h(e10) != e20
| op2(h(e14),h(e10)) = op2(h(e14),e20) ),
inference(resolve,[$cnf( $equal(op2(h(e14),h(e10)),op2(h(e14),h(e10))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
op2(h(e14),h(e10)) = op2(h(e14),e20),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_75,refute_0_151]) ).
cnf(refute_0_153,plain,
( h(e14) != op2(h(e14),h(e10))
| op2(h(e14),h(e10)) != op2(h(e14),e20)
| h(e14) = op2(h(e14),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e14),op2(h(e14),e20)) ),[0],$fot(op2(h(e14),h(e10)))]]) ).
cnf(refute_0_154,plain,
( h(e14) != op2(h(e14),h(e10))
| h(e14) = op2(h(e14),e20) ),
inference(resolve,[$cnf( $equal(op2(h(e14),h(e10)),op2(h(e14),e20)) )],[refute_0_152,refute_0_153]) ).
cnf(refute_0_155,plain,
h(e14) = op2(h(e14),e20),
inference(resolve,[$cnf( $equal(h(e14),op2(h(e14),h(e10))) )],[refute_0_148,refute_0_154]) ).
cnf(refute_0_156,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_157,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_158,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
( h(e14) != op2(h(e14),e20)
| op2(h(e14),e20) = h(e14) ),
inference(subst,[],[refute_0_158:[bind(X,$fot(h(e14))),bind(Y,$fot(op2(h(e14),e20)))]]) ).
cnf(refute_0_160,plain,
op2(h(e14),e20) = h(e14),
inference(resolve,[$cnf( $equal(h(e14),op2(h(e14),e20)) )],[refute_0_155,refute_0_159]) ).
cnf(refute_0_161,plain,
( h(e15) != op2(h(e14),e20)
| op2(h(e14),e20) != h(e14)
| h(e15) = h(e14) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e15),h(e14)) ),[0],$fot(op2(h(e14),e20))]]) ).
cnf(refute_0_162,plain,
( h(e15) != op2(h(e14),e20)
| h(e15) = h(e14) ),
inference(resolve,[$cnf( $equal(op2(h(e14),e20),h(e14)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e15) = h(e14) ),
inference(resolve,[$cnf( $equal(h(e15),op2(h(e14),e20)) )],[refute_0_139,refute_0_162]) ).
cnf(refute_0_164,plain,
( h(e15) != h(e14)
| j(h(e15)) != e15
| j(h(e14)) = e15 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e15)),e15) ),[0,0],$fot(h(e14))]]) ).
cnf(refute_0_165,plain,
( j(h(e15)) != e15
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| j(h(e14)) = e15 ),
inference(resolve,[$cnf( $equal(h(e15),h(e14)) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
( h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| j(h(e14)) = e15 ),
inference(resolve,[$cnf( $equal(j(h(e15)),e15) )],[refute_0_126,refute_0_165]) ).
cnf(refute_0_167,plain,
j(h(e14)) = e14,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_168,plain,
( j(h(e14)) != e14
| j(h(e14)) != e15
| e14 = e15 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e14)),e15) ),[0],$fot(e14)]]) ).
cnf(refute_0_169,plain,
( j(h(e14)) != e15
| e14 = e15 ),
inference(resolve,[$cnf( $equal(j(h(e14)),e14) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( e14 = e15
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(j(h(e14)),e15) )],[refute_0_166,refute_0_169]) ).
cnf(refute_0_171,plain,
e14 != e15,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_172,plain,
( h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e14,e15) )],[refute_0_170,refute_0_171]) ).
cnf(refute_0_173,plain,
( h(e10) != op2(h(e12),h(e13))
| h(e12) != e21
| h(e10) = op2(e21,h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e12),h(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_174,plain,
( h(e10) != op2(h(e12),h(e13))
| h(e10) = op2(e21,h(e13))
| h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),e21) )],[refute_0_136,refute_0_173]) ).
cnf(refute_0_175,plain,
( h(e10) = op2(e21,h(e13))
| h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e12),h(e13))) )],[refute_0_122,refute_0_174]) ).
cnf(refute_0_176,plain,
( h(e10) != e20
| h(e10) != op2(e21,h(e13))
| e20 = op2(e21,h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e21,h(e13))) ),[0],$fot(e20)]]) ).
cnf(refute_0_177,plain,
( h(e10) != op2(e21,h(e13))
| e20 = op2(e21,h(e13)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_75,refute_0_176]) ).
cnf(refute_0_178,plain,
( e20 = op2(e21,h(e13))
| h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e21,h(e13))) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
( h(e12) != e21
| h(e13) != op2(h(e12),h(e12))
| h(e13) = op2(e21,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_180,plain,
( h(e13) != op2(h(e12),h(e12))
| h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e21,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e12),e21) )],[refute_0_136,refute_0_179]) ).
cnf(refute_0_181,plain,
( h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e21,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) )],[refute_0_113,refute_0_180]) ).
cnf(refute_0_182,plain,
( h(e12) != e21
| h(e13) != op2(e21,h(e12))
| h(e13) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(e21,h(e12))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_183,plain,
( h(e13) != op2(e21,h(e12))
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h(e12),e21) )],[refute_0_172,refute_0_182]) ).
cnf(refute_0_184,plain,
( h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h(e13),op2(e21,h(e12))) )],[refute_0_181,refute_0_183]) ).
cnf(refute_0_185,plain,
( h(e13) != op2(e21,e21)
| op2(e21,e21) != e20
| h(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e13),e20) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_0_186,plain,
( h(e13) != op2(e21,e21)
| h(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_20,refute_0_185]) ).
cnf(refute_0_187,plain,
( h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = e20 ),
inference(resolve,[$cnf( $equal(h(e13),op2(e21,e21)) )],[refute_0_184,refute_0_186]) ).
cnf(refute_0_188,plain,
( e20 != op2(e21,h(e13))
| h(e13) != e20
| e20 = op2(e21,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e21,h(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_189,plain,
( e20 != op2(e21,h(e13))
| e20 = op2(e21,e20)
| h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e20) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( e20 = op2(e21,e20)
| h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,h(e13))) )],[refute_0_178,refute_0_189]) ).
cnf(refute_0_191,plain,
op2(e21,e20) = e21,
inference(canonicalize,[],[normalize_0_36]) ).
cnf(refute_0_192,plain,
( e20 != op2(e21,e20)
| op2(e21,e20) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e21) ),[0],$fot(op2(e21,e20))]]) ).
cnf(refute_0_193,plain,
( e20 != op2(e21,e20)
| e20 = e21 ),
inference(resolve,[$cnf( $equal(op2(e21,e20),e21) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
( e20 = e21
| h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e20)) )],[refute_0_190,refute_0_193]) ).
cnf(refute_0_195,plain,
e20 != e21,
inference(canonicalize,[],[normalize_0_37]) ).
cnf(refute_0_196,plain,
( h(e12) = e20
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_194,refute_0_195]) ).
cnf(refute_0_197,plain,
( h(e12) != e20
| h(e12) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),e21) ),[0],$fot(e20)]]) ).
cnf(refute_0_198,plain,
( h(e12) != e21
| e20 = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),e20) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
( e20 = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),e21) )],[refute_0_172,refute_0_198]) ).
cnf(refute_0_200,plain,
( h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_199,refute_0_195]) ).
cnf(refute_0_201,plain,
( e20 != op2(h(e12),h(e13))
| h(e12) != e22
| e20 = op2(e22,h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e12),h(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_202,plain,
( e20 != op2(h(e12),h(e13))
| e20 = op2(e22,h(e13))
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),e22) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
( e20 = op2(e22,h(e13))
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e12),h(e13))) )],[refute_0_125,refute_0_202]) ).
cnf(refute_0_204,plain,
( h(e12) != e22
| h(e13) != op2(h(e12),h(e12))
| h(e13) = op2(e22,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_205,plain,
( h(e13) != op2(h(e12),h(e12))
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e22,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e12),e22) )],[refute_0_200,refute_0_204]) ).
cnf(refute_0_206,plain,
( h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e22,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) )],[refute_0_113,refute_0_205]) ).
cnf(refute_0_207,plain,
( h(e12) != e22
| h(e13) != op2(e22,h(e12))
| h(e13) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(e22,h(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_208,plain,
( h(e13) != op2(e22,h(e12))
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h(e12),e22) )],[refute_0_200,refute_0_207]) ).
cnf(refute_0_209,plain,
( h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h(e13),op2(e22,h(e12))) )],[refute_0_206,refute_0_208]) ).
cnf(refute_0_210,plain,
( h(e13) != op2(e22,e22)
| op2(e22,e22) != e20
| h(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e13),e20) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_211,plain,
( h(e13) != op2(e22,e22)
| h(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_30,refute_0_210]) ).
cnf(refute_0_212,plain,
( h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e13) = e20 ),
inference(resolve,[$cnf( $equal(h(e13),op2(e22,e22)) )],[refute_0_209,refute_0_211]) ).
cnf(refute_0_213,plain,
( e20 != op2(e22,h(e13))
| h(e13) != e20
| e20 = op2(e22,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e22,h(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_214,plain,
( e20 != op2(e22,h(e13))
| e20 = op2(e22,e20)
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e20) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
( e20 = op2(e22,e20)
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,h(e13))) )],[refute_0_203,refute_0_214]) ).
cnf(refute_0_216,plain,
op2(e22,e20) = e22,
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_217,plain,
( e20 != op2(e22,e20)
| op2(e22,e20) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e22) ),[0],$fot(op2(e22,e20))]]) ).
cnf(refute_0_218,plain,
( e20 != op2(e22,e20)
| e20 = e22 ),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_0_216,refute_0_217]) ).
cnf(refute_0_219,plain,
( e20 = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e20)) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
e20 != e22,
inference(canonicalize,[],[normalize_0_39]) ).
cnf(refute_0_221,plain,
( h(e12) = e23
| h(e12) = e24
| h(e12) = e25 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
( e20 != op2(h(e12),h(e13))
| h(e12) != e25
| e20 = op2(e25,h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e12),h(e13))) ),[1,0],$fot(e25)]]) ).
cnf(refute_0_223,plain,
( e20 != op2(h(e12),h(e13))
| e20 = op2(e25,h(e13))
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),e25) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( e20 = op2(e25,h(e13))
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e12),h(e13))) )],[refute_0_125,refute_0_223]) ).
cnf(refute_0_225,plain,
( h(e12) != e25
| h(e13) != op2(h(e12),h(e12))
| h(e13) = op2(e25,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) ),[1,0],$fot(e25)]]) ).
cnf(refute_0_226,plain,
( h(e13) != op2(h(e12),h(e12))
| h(e12) = e23
| h(e12) = e24
| h(e13) = op2(e25,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e12),e25) )],[refute_0_221,refute_0_225]) ).
cnf(refute_0_227,plain,
( h(e12) = e23
| h(e12) = e24
| h(e13) = op2(e25,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) )],[refute_0_113,refute_0_226]) ).
cnf(refute_0_228,plain,
( h(e12) != e25
| h(e13) != op2(e25,h(e12))
| h(e13) = op2(e25,e25) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(e25,h(e12))) ),[1,1],$fot(e25)]]) ).
cnf(refute_0_229,plain,
( h(e13) != op2(e25,h(e12))
| h(e12) = e23
| h(e12) = e24
| h(e13) = op2(e25,e25) ),
inference(resolve,[$cnf( $equal(h(e12),e25) )],[refute_0_221,refute_0_228]) ).
cnf(refute_0_230,plain,
( h(e12) = e23
| h(e12) = e24
| h(e13) = op2(e25,e25) ),
inference(resolve,[$cnf( $equal(h(e13),op2(e25,h(e12))) )],[refute_0_227,refute_0_229]) ).
cnf(refute_0_231,plain,
( h(e13) != op2(e25,e25)
| op2(e25,e25) != e20
| h(e13) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e13),e20) ),[0],$fot(op2(e25,e25))]]) ).
cnf(refute_0_232,plain,
( h(e13) != op2(e25,e25)
| h(e13) = e20 ),
inference(resolve,[$cnf( $equal(op2(e25,e25),e20) )],[refute_0_72,refute_0_231]) ).
cnf(refute_0_233,plain,
( h(e12) = e23
| h(e12) = e24
| h(e13) = e20 ),
inference(resolve,[$cnf( $equal(h(e13),op2(e25,e25)) )],[refute_0_230,refute_0_232]) ).
cnf(refute_0_234,plain,
( e20 != op2(e25,h(e13))
| h(e13) != e20
| e20 = op2(e25,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e25,h(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_235,plain,
( e20 != op2(e25,h(e13))
| e20 = op2(e25,e20)
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e20) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
( e20 = op2(e25,e20)
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e25,h(e13))) )],[refute_0_224,refute_0_235]) ).
cnf(refute_0_237,plain,
op2(e25,e20) = e25,
inference(canonicalize,[],[normalize_0_40]) ).
cnf(refute_0_238,plain,
( e20 != op2(e25,e20)
| op2(e25,e20) != e25
| e20 = e25 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e25) ),[0],$fot(op2(e25,e20))]]) ).
cnf(refute_0_239,plain,
( e20 != op2(e25,e20)
| e20 = e25 ),
inference(resolve,[$cnf( $equal(op2(e25,e20),e25) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
( e20 = e25
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e25,e20)) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
e20 != e25,
inference(canonicalize,[],[normalize_0_41]) ).
cnf(refute_0_242,plain,
( h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e20,e25) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
( h(e12) != e23
| h(e13) != op2(h(e12),h(e12))
| h(e13) = op2(e23,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_244,plain,
( h(e13) != op2(h(e12),h(e12))
| h(e12) = e24
| h(e13) = op2(e23,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e12),e23) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
( h(e12) = e24
| h(e13) = op2(e23,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e13),op2(h(e12),h(e12))) )],[refute_0_113,refute_0_244]) ).
cnf(refute_0_246,plain,
( h(e12) != e23
| h(e13) != op2(e23,h(e12))
| h(e13) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(e23,h(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_247,plain,
( h(e13) != op2(e23,h(e12))
| h(e12) = e24
| h(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h(e12),e23) )],[refute_0_242,refute_0_246]) ).
cnf(refute_0_248,plain,
( h(e12) = e24
| h(e13) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h(e13),op2(e23,h(e12))) )],[refute_0_245,refute_0_247]) ).
cnf(refute_0_249,plain,
( h(e13) != op2(e23,e23)
| op2(e23,e23) != e24
| h(e13) = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e13),e24) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_0_250,plain,
( h(e13) != op2(e23,e23)
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e24) )],[refute_0_45,refute_0_249]) ).
cnf(refute_0_251,plain,
( h(e12) = e24
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),op2(e23,e23)) )],[refute_0_248,refute_0_250]) ).
cnf(refute_0_252,plain,
( h(e13) != e24
| h(e13) != op2(e23,h(e12))
| e24 = op2(e23,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),op2(e23,h(e12))) ),[0],$fot(e24)]]) ).
cnf(refute_0_253,plain,
( h(e13) != op2(e23,h(e12))
| e24 = op2(e23,h(e12))
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e24) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
( e24 = op2(e23,h(e12))
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),op2(e23,h(e12))) )],[refute_0_245,refute_0_253]) ).
cnf(refute_0_255,plain,
h(op1(e12,e15)) = op2(h(e12),h(e15)),
inference(canonicalize,[],[normalize_0_42]) ).
cnf(refute_0_256,plain,
op1(e12,e15) = e11,
inference(canonicalize,[],[normalize_0_43]) ).
cnf(refute_0_257,plain,
h(op1(e12,e15)) = h(op1(e12,e15)),
introduced(tautology,[refl,[$fot(h(op1(e12,e15)))]]) ).
cnf(refute_0_258,plain,
( h(op1(e12,e15)) != h(op1(e12,e15))
| op1(e12,e15) != e11
| h(op1(e12,e15)) = h(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e15)),h(op1(e12,e15))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_259,plain,
( op1(e12,e15) != e11
| h(op1(e12,e15)) = h(e11) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e15)),h(op1(e12,e15))) )],[refute_0_257,refute_0_258]) ).
cnf(refute_0_260,plain,
h(op1(e12,e15)) = h(e11),
inference(resolve,[$cnf( $equal(op1(e12,e15),e11) )],[refute_0_256,refute_0_259]) ).
cnf(refute_0_261,plain,
( h(op1(e12,e15)) != h(e11)
| h(op1(e12,e15)) != op2(h(e12),h(e15))
| h(e11) = op2(h(e12),h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e15)),op2(h(e12),h(e15))) ),[0],$fot(h(e11))]]) ).
cnf(refute_0_262,plain,
( h(op1(e12,e15)) != op2(h(e12),h(e15))
| h(e11) = op2(h(e12),h(e15)) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e15)),h(e11)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
h(e11) = op2(h(e12),h(e15)),
inference(resolve,[$cnf( $equal(h(op1(e12,e15)),op2(h(e12),h(e15))) )],[refute_0_255,refute_0_262]) ).
cnf(refute_0_264,plain,
( h(e11) != op2(h(e12),h(e15))
| h(e12) != e23
| h(e11) = op2(e23,h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e11),op2(h(e12),h(e15))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_265,plain,
( h(e11) != op2(h(e12),h(e15))
| h(e11) = op2(e23,h(e15))
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),e23) )],[refute_0_242,refute_0_264]) ).
cnf(refute_0_266,plain,
( h(e11) = op2(e23,h(e15))
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),op2(h(e12),h(e15))) )],[refute_0_263,refute_0_265]) ).
cnf(refute_0_267,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(canonicalize,[],[normalize_0_44]) ).
cnf(refute_0_268,plain,
j(op2(e24,e23)) = j(op2(e24,e23)),
introduced(tautology,[refl,[$fot(j(op2(e24,e23)))]]) ).
cnf(refute_0_269,plain,
( j(op2(e24,e23)) != j(op2(e24,e23))
| op2(e24,e23) != e20
| j(op2(e24,e23)) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e24,e23)),j(op2(e24,e23))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_270,plain,
( op2(e24,e23) != e20
| j(op2(e24,e23)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(op2(e24,e23)),j(op2(e24,e23))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
j(op2(e24,e23)) = j(e20),
inference(resolve,[$cnf( $equal(op2(e24,e23),e20) )],[refute_0_62,refute_0_270]) ).
cnf(refute_0_272,plain,
( j(op2(e24,e23)) != j(e20)
| j(op2(e24,e23)) != op1(j(e24),j(e23))
| j(e20) = op1(j(e24),j(e23)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e24,e23)),op1(j(e24),j(e23))) ),[0],$fot(j(e20))]]) ).
cnf(refute_0_273,plain,
( j(op2(e24,e23)) != op1(j(e24),j(e23))
| j(e20) = op1(j(e24),j(e23)) ),
inference(resolve,[$cnf( $equal(j(op2(e24,e23)),j(e20)) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
j(e20) = op1(j(e24),j(e23)),
inference(resolve,[$cnf( $equal(j(op2(e24,e23)),op1(j(e24),j(e23))) )],[refute_0_267,refute_0_273]) ).
cnf(refute_0_275,plain,
( j(e20) != e10
| j(e20) != op1(j(e24),j(e23))
| e10 = op1(j(e24),j(e23)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e24),j(e23))) ),[0],$fot(e10)]]) ).
cnf(refute_0_276,plain,
( j(e20) != op1(j(e24),j(e23))
| e10 = op1(j(e24),j(e23)) ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_82,refute_0_275]) ).
cnf(refute_0_277,plain,
e10 = op1(j(e24),j(e23)),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e24),j(e23))) )],[refute_0_274,refute_0_276]) ).
cnf(refute_0_278,plain,
j(h(e13)) = e13,
inference(canonicalize,[],[normalize_0_45]) ).
cnf(refute_0_279,plain,
( h(e13) != e24
| j(h(e13)) != e13
| j(e24) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e13)),e13) ),[0,0],$fot(e24)]]) ).
cnf(refute_0_280,plain,
( j(h(e13)) != e13
| h(e12) = e24
| j(e24) = e13 ),
inference(resolve,[$cnf( $equal(h(e13),e24) )],[refute_0_251,refute_0_279]) ).
cnf(refute_0_281,plain,
( h(e12) = e24
| j(e24) = e13 ),
inference(resolve,[$cnf( $equal(j(h(e13)),e13) )],[refute_0_278,refute_0_280]) ).
cnf(refute_0_282,plain,
( e10 != op1(j(e24),j(e23))
| j(e24) != e13
| e10 = op1(e13,j(e23)) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(j(e24),j(e23))) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_283,plain,
( e10 != op1(j(e24),j(e23))
| e10 = op1(e13,j(e23))
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(j(e24),e13) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
( e10 = op1(e13,j(e23))
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e10,op1(j(e24),j(e23))) )],[refute_0_277,refute_0_283]) ).
cnf(refute_0_285,plain,
h(op1(e15,e15)) = op2(h(e15),h(e15)),
inference(canonicalize,[],[normalize_0_46]) ).
cnf(refute_0_286,plain,
op1(e15,e15) = e12,
inference(canonicalize,[],[normalize_0_47]) ).
cnf(refute_0_287,plain,
h(op1(e15,e15)) = h(op1(e15,e15)),
introduced(tautology,[refl,[$fot(h(op1(e15,e15)))]]) ).
cnf(refute_0_288,plain,
( h(op1(e15,e15)) != h(op1(e15,e15))
| op1(e15,e15) != e12
| h(op1(e15,e15)) = h(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e15,e15)),h(op1(e15,e15))) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_289,plain,
( op1(e15,e15) != e12
| h(op1(e15,e15)) = h(e12) ),
inference(resolve,[$cnf( $equal(h(op1(e15,e15)),h(op1(e15,e15))) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
h(op1(e15,e15)) = h(e12),
inference(resolve,[$cnf( $equal(op1(e15,e15),e12) )],[refute_0_286,refute_0_289]) ).
cnf(refute_0_291,plain,
( h(op1(e15,e15)) != h(e12)
| h(op1(e15,e15)) != op2(h(e15),h(e15))
| h(e12) = op2(h(e15),h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e15,e15)),op2(h(e15),h(e15))) ),[0],$fot(h(e12))]]) ).
cnf(refute_0_292,plain,
( h(op1(e15,e15)) != op2(h(e15),h(e15))
| h(e12) = op2(h(e15),h(e15)) ),
inference(resolve,[$cnf( $equal(h(op1(e15,e15)),h(e12)) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
h(e12) = op2(h(e15),h(e15)),
inference(resolve,[$cnf( $equal(h(op1(e15,e15)),op2(h(e15),h(e15))) )],[refute_0_285,refute_0_292]) ).
cnf(refute_0_294,plain,
( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(canonicalize,[],[normalize_0_48]) ).
cnf(refute_0_295,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e15) != e20
| h(e12) = op2(e20,h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_296,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e12) = op2(e20,h(e15))
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e20) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
( h(e12) = op2(e20,h(e15))
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) )],[refute_0_293,refute_0_296]) ).
cnf(refute_0_298,plain,
h(op1(e10,e15)) = op2(h(e10),h(e15)),
inference(canonicalize,[],[normalize_0_49]) ).
cnf(refute_0_299,plain,
op1(e10,e15) = e15,
inference(canonicalize,[],[normalize_0_50]) ).
cnf(refute_0_300,plain,
h(op1(e10,e15)) = h(op1(e10,e15)),
introduced(tautology,[refl,[$fot(h(op1(e10,e15)))]]) ).
cnf(refute_0_301,plain,
( h(op1(e10,e15)) != h(op1(e10,e15))
| op1(e10,e15) != e15
| h(op1(e10,e15)) = h(e15) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e10,e15)),h(op1(e10,e15))) ),[1,0],$fot(e15)]]) ).
cnf(refute_0_302,plain,
( op1(e10,e15) != e15
| h(op1(e10,e15)) = h(e15) ),
inference(resolve,[$cnf( $equal(h(op1(e10,e15)),h(op1(e10,e15))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
h(op1(e10,e15)) = h(e15),
inference(resolve,[$cnf( $equal(op1(e10,e15),e15) )],[refute_0_299,refute_0_302]) ).
cnf(refute_0_304,plain,
( h(op1(e10,e15)) != h(e15)
| h(op1(e10,e15)) != op2(h(e10),h(e15))
| h(e15) = op2(h(e10),h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e10,e15)),op2(h(e10),h(e15))) ),[0],$fot(h(e15))]]) ).
cnf(refute_0_305,plain,
( h(op1(e10,e15)) != op2(h(e10),h(e15))
| h(e15) = op2(h(e10),h(e15)) ),
inference(resolve,[$cnf( $equal(h(op1(e10,e15)),h(e15)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
h(e15) = op2(h(e10),h(e15)),
inference(resolve,[$cnf( $equal(h(op1(e10,e15)),op2(h(e10),h(e15))) )],[refute_0_298,refute_0_305]) ).
cnf(refute_0_307,plain,
op2(h(e10),h(e15)) = op2(h(e10),h(e15)),
introduced(tautology,[refl,[$fot(op2(h(e10),h(e15)))]]) ).
cnf(refute_0_308,plain,
( h(e10) != e20
| op2(h(e10),h(e15)) != op2(h(e10),h(e15))
| op2(h(e10),h(e15)) = op2(e20,h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e10),h(e15)),op2(h(e10),h(e15))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_309,plain,
( h(e10) != e20
| op2(h(e10),h(e15)) = op2(e20,h(e15)) ),
inference(resolve,[$cnf( $equal(op2(h(e10),h(e15)),op2(h(e10),h(e15))) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
op2(h(e10),h(e15)) = op2(e20,h(e15)),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_75,refute_0_309]) ).
cnf(refute_0_311,plain,
( h(e15) != op2(h(e10),h(e15))
| op2(h(e10),h(e15)) != op2(e20,h(e15))
| h(e15) = op2(e20,h(e15)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e15),op2(e20,h(e15))) ),[0],$fot(op2(h(e10),h(e15)))]]) ).
cnf(refute_0_312,plain,
( h(e15) != op2(h(e10),h(e15))
| h(e15) = op2(e20,h(e15)) ),
inference(resolve,[$cnf( $equal(op2(h(e10),h(e15)),op2(e20,h(e15))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
h(e15) = op2(e20,h(e15)),
inference(resolve,[$cnf( $equal(h(e15),op2(h(e10),h(e15))) )],[refute_0_306,refute_0_312]) ).
cnf(refute_0_314,plain,
( h(e15) != op2(e20,h(e15))
| op2(e20,h(e15)) = h(e15) ),
inference(subst,[],[refute_0_158:[bind(X,$fot(h(e15))),bind(Y,$fot(op2(e20,h(e15))))]]) ).
cnf(refute_0_315,plain,
op2(e20,h(e15)) = h(e15),
inference(resolve,[$cnf( $equal(h(e15),op2(e20,h(e15))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
( h(e12) != op2(e20,h(e15))
| op2(e20,h(e15)) != h(e15)
| h(e12) = h(e15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e12),h(e15)) ),[0],$fot(op2(e20,h(e15)))]]) ).
cnf(refute_0_317,plain,
( h(e12) != op2(e20,h(e15))
| h(e12) = h(e15) ),
inference(resolve,[$cnf( $equal(op2(e20,h(e15)),h(e15)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
( h(e12) = h(e15)
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e20,h(e15))) )],[refute_0_297,refute_0_317]) ).
cnf(refute_0_319,plain,
( h(e12) != h(e15)
| h(e15) = h(e12) ),
inference(subst,[],[refute_0_158:[bind(X,$fot(h(e12))),bind(Y,$fot(h(e15)))]]) ).
cnf(refute_0_320,plain,
( h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25
| h(e15) = h(e12) ),
inference(resolve,[$cnf( $equal(h(e12),h(e15)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
( h(e15) != h(e12)
| j(h(e15)) != e15
| j(h(e12)) = e15 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e15)),e15) ),[0,0],$fot(h(e12))]]) ).
cnf(refute_0_322,plain,
( j(h(e15)) != e15
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25
| j(h(e12)) = e15 ),
inference(resolve,[$cnf( $equal(h(e15),h(e12)) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
( h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25
| j(h(e12)) = e15 ),
inference(resolve,[$cnf( $equal(j(h(e15)),e15) )],[refute_0_126,refute_0_322]) ).
cnf(refute_0_324,plain,
( j(h(e12)) != e12
| j(h(e12)) != e15
| e12 = e15 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e12)),e15) ),[0],$fot(e12)]]) ).
cnf(refute_0_325,plain,
( j(h(e12)) != e15
| e12 = e15 ),
inference(resolve,[$cnf( $equal(j(h(e12)),e12) )],[refute_0_104,refute_0_324]) ).
cnf(refute_0_326,plain,
( e12 = e15
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(j(h(e12)),e15) )],[refute_0_323,refute_0_325]) ).
cnf(refute_0_327,plain,
e12 != e15,
inference(canonicalize,[],[normalize_0_51]) ).
cnf(refute_0_328,plain,
( h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(e12,e15) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e15) != e25
| h(e12) = op2(e25,h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) ),[1,0],$fot(e25)]]) ).
cnf(refute_0_330,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e12) = op2(e25,h(e15))
| h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e25) )],[refute_0_294,refute_0_329]) ).
cnf(refute_0_331,plain,
( h(e12) = op2(e25,h(e15))
| h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) )],[refute_0_293,refute_0_330]) ).
cnf(refute_0_332,plain,
( h(e12) != op2(e25,h(e15))
| h(e15) != e25
| h(e12) = op2(e25,e25) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(e25,h(e15))) ),[1,1],$fot(e25)]]) ).
cnf(refute_0_333,plain,
( h(e12) != op2(e25,h(e15))
| h(e12) = op2(e25,e25)
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e25) )],[refute_0_328,refute_0_332]) ).
cnf(refute_0_334,plain,
( h(e12) = op2(e25,e25)
| h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e25,h(e15))) )],[refute_0_331,refute_0_333]) ).
cnf(refute_0_335,plain,
( h(e12) != op2(e25,e25)
| op2(e25,e25) != e20
| h(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e12),e20) ),[0],$fot(op2(e25,e25))]]) ).
cnf(refute_0_336,plain,
( h(e12) != op2(e25,e25)
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e25,e25),e20) )],[refute_0_72,refute_0_335]) ).
cnf(refute_0_337,plain,
( h(e12) = e20
| h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e25,e25)) )],[refute_0_334,refute_0_336]) ).
cnf(refute_0_338,plain,
( h(e15) != e20
| h(e15) != e25
| e20 = e25 ),
introduced(tautology,[equality,[$cnf( $equal(h(e15),e25) ),[0],$fot(e20)]]) ).
cnf(refute_0_339,plain,
( h(e15) != e25
| e20 = e25
| h(e12) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e20) )],[refute_0_337,refute_0_338]) ).
cnf(refute_0_340,plain,
( e20 = e25
| h(e12) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e25) )],[refute_0_328,refute_0_339]) ).
cnf(refute_0_341,plain,
( h(e12) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e20,e25) )],[refute_0_340,refute_0_241]) ).
cnf(refute_0_342,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e15) != e22
| h(e12) = op2(e22,h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_343,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e12) = op2(e22,h(e15))
| h(e15) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e22) )],[refute_0_294,refute_0_342]) ).
cnf(refute_0_344,plain,
( h(e12) = op2(e22,h(e15))
| h(e15) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) )],[refute_0_293,refute_0_343]) ).
cnf(refute_0_345,plain,
( h(e12) != op2(e22,h(e15))
| h(e15) != e22
| h(e12) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(e22,h(e15))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_346,plain,
( h(e12) != op2(e22,h(e15))
| h(e12) = op2(e22,e22)
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e22) )],[refute_0_328,refute_0_345]) ).
cnf(refute_0_347,plain,
( h(e12) = op2(e22,e22)
| h(e15) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e22,h(e15))) )],[refute_0_344,refute_0_346]) ).
cnf(refute_0_348,plain,
( h(e12) != op2(e22,e22)
| op2(e22,e22) != e20
| h(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e12),e20) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_349,plain,
( h(e12) != op2(e22,e22)
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e20) )],[refute_0_30,refute_0_348]) ).
cnf(refute_0_350,plain,
( h(e12) = e20
| h(e15) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e22,e22)) )],[refute_0_347,refute_0_349]) ).
cnf(refute_0_351,plain,
( h(e15) != e22
| h(e15) != e25
| e22 = e25 ),
introduced(tautology,[equality,[$cnf( $equal(h(e15),e25) ),[0],$fot(e22)]]) ).
cnf(refute_0_352,plain,
( h(e15) != e25
| e22 = e25
| h(e12) = e20
| h(e15) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e22) )],[refute_0_337,refute_0_351]) ).
cnf(refute_0_353,plain,
( e22 = e25
| h(e12) = e20
| h(e15) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e25) )],[refute_0_350,refute_0_352]) ).
cnf(refute_0_354,plain,
e22 != e25,
inference(canonicalize,[],[normalize_0_52]) ).
cnf(refute_0_355,plain,
( h(e12) = e20
| h(e15) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e22,e25) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
( h(e15) != e20
| h(e15) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h(e15),e22) ),[0],$fot(e20)]]) ).
cnf(refute_0_357,plain,
( h(e15) != e22
| e20 = e22
| h(e12) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e20) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
( e20 = e22
| h(e12) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e22) )],[refute_0_341,refute_0_357]) ).
cnf(refute_0_359,plain,
( h(e12) = e20
| h(e15) = e21
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_358,refute_0_220]) ).
cnf(refute_0_360,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e15) != e21
| h(e12) = op2(e21,h(e15)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_361,plain,
( h(e12) != op2(h(e15),h(e15))
| h(e12) = op2(e21,h(e15))
| h(e15) = e20
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e21) )],[refute_0_294,refute_0_360]) ).
cnf(refute_0_362,plain,
( h(e12) = op2(e21,h(e15))
| h(e15) = e20
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e15),h(e15))) )],[refute_0_293,refute_0_361]) ).
cnf(refute_0_363,plain,
( h(e12) != op2(e21,h(e15))
| h(e15) != e21
| h(e12) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(e21,h(e15))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_364,plain,
( h(e12) != op2(e21,h(e15))
| h(e12) = op2(e21,e21)
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e21) )],[refute_0_328,refute_0_363]) ).
cnf(refute_0_365,plain,
( h(e12) = op2(e21,e21)
| h(e15) = e20
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e21,h(e15))) )],[refute_0_362,refute_0_364]) ).
cnf(refute_0_366,plain,
( h(e12) != op2(e21,e21)
| op2(e21,e21) != e20
| h(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e12),e20) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_0_367,plain,
( h(e12) != op2(e21,e21)
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_20,refute_0_366]) ).
cnf(refute_0_368,plain,
( h(e12) = e20
| h(e15) = e20
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e21,e21)) )],[refute_0_365,refute_0_367]) ).
cnf(refute_0_369,plain,
( h(e15) != e20
| h(e15) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h(e15),e21) ),[0],$fot(e20)]]) ).
cnf(refute_0_370,plain,
( h(e15) != e21
| e20 = e21
| h(e12) = e20
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e20) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
( e20 = e21
| h(e12) = e20
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e21) )],[refute_0_359,refute_0_370]) ).
cnf(refute_0_372,plain,
( h(e12) = e20
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_371,refute_0_195]) ).
cnf(refute_0_373,plain,
( h(e15) != e21
| h(e15) != e22
| e22 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h(e15),e21) ),[0],$fot(e22)]]) ).
cnf(refute_0_374,plain,
( h(e15) != e21
| e22 = e21
| h(e12) = e20
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e22) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
( e22 = e21
| h(e12) = e20
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(h(e15),e21) )],[refute_0_359,refute_0_374]) ).
cnf(refute_0_376,plain,
( e22 != e21
| e21 = e22 ),
inference(subst,[],[refute_0_158:[bind(X,$fot(e22)),bind(Y,$fot(e21))]]) ).
cnf(refute_0_377,plain,
e22 != e21,
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_376,refute_0_37]) ).
cnf(refute_0_378,plain,
( h(e12) = e20
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25 ),
inference(resolve,[$cnf( $equal(e22,e21) )],[refute_0_375,refute_0_377]) ).
cnf(refute_0_379,plain,
( h(e15) != e21
| h(e15) != e25
| e25 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h(e15),e21) ),[0],$fot(e25)]]) ).
cnf(refute_0_380,plain,
( h(e15) != e21
| e25 = e21
| h(e12) = e20
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e25) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
( e25 = e21
| h(e12) = e20
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e21) )],[refute_0_359,refute_0_380]) ).
cnf(refute_0_382,plain,
e21 != e25,
inference(canonicalize,[],[normalize_0_53]) ).
cnf(refute_0_383,plain,
( e25 != e21
| e21 = e25 ),
inference(subst,[],[refute_0_158:[bind(X,$fot(e25)),bind(Y,$fot(e21))]]) ).
cnf(refute_0_384,plain,
e25 != e21,
inference(resolve,[$cnf( $equal(e21,e25) )],[refute_0_383,refute_0_382]) ).
cnf(refute_0_385,plain,
( h(e12) = e20
| h(e15) = e23
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e25,e21) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( h(e15) != e23
| j(h(e15)) != e15
| j(e23) = e15 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e15)),e15) ),[0,0],$fot(e23)]]) ).
cnf(refute_0_387,plain,
( j(h(e15)) != e15
| h(e12) = e20
| h(e15) = e24
| j(e23) = e15 ),
inference(resolve,[$cnf( $equal(h(e15),e23) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
( h(e12) = e20
| h(e15) = e24
| j(e23) = e15 ),
inference(resolve,[$cnf( $equal(j(h(e15)),e15) )],[refute_0_126,refute_0_387]) ).
cnf(refute_0_389,plain,
( e10 != op1(e13,j(e23))
| j(e23) != e15
| e10 = op1(e13,e15) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(e13,j(e23))) ),[1,1],$fot(e15)]]) ).
cnf(refute_0_390,plain,
( e10 != op1(e13,j(e23))
| e10 = op1(e13,e15)
| h(e12) = e20
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(j(e23),e15) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
( e10 = op1(e13,e15)
| h(e12) = e20
| h(e12) = e24
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e10,op1(e13,j(e23))) )],[refute_0_284,refute_0_390]) ).
cnf(refute_0_392,plain,
op1(e13,e15) = e14,
inference(canonicalize,[],[normalize_0_54]) ).
cnf(refute_0_393,plain,
( e10 != op1(e13,e15)
| op1(e13,e15) != e14
| e10 = e14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e14) ),[0],$fot(op1(e13,e15))]]) ).
cnf(refute_0_394,plain,
( e10 != op1(e13,e15)
| e10 = e14 ),
inference(resolve,[$cnf( $equal(op1(e13,e15),e14) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
( e10 = e14
| h(e12) = e20
| h(e12) = e24
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e10,op1(e13,e15)) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
e10 != e14,
inference(canonicalize,[],[normalize_0_55]) ).
cnf(refute_0_397,plain,
( h(e12) = e20
| h(e12) = e24
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e10,e14) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
( h(e11) != op2(e23,h(e15))
| h(e15) != e24
| h(e11) = op2(e23,e24) ),
introduced(tautology,[equality,[$cnf( $equal(h(e11),op2(e23,h(e15))) ),[1,1],$fot(e24)]]) ).
cnf(refute_0_399,plain,
( h(e11) != op2(e23,h(e15))
| h(e11) = op2(e23,e24)
| h(e12) = e20
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e15),e24) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
( h(e11) = op2(e23,e24)
| h(e12) = e20
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),op2(e23,h(e15))) )],[refute_0_266,refute_0_399]) ).
cnf(refute_0_401,plain,
op2(e23,e24) = e20,
inference(canonicalize,[],[normalize_0_56]) ).
cnf(refute_0_402,plain,
( h(e11) != op2(e23,e24)
| op2(e23,e24) != e20
| h(e11) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e11),e20) ),[0],$fot(op2(e23,e24))]]) ).
cnf(refute_0_403,plain,
( h(e11) != op2(e23,e24)
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(op2(e23,e24),e20) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
( h(e11) = e20
| h(e12) = e20
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),op2(e23,e24)) )],[refute_0_400,refute_0_403]) ).
cnf(refute_0_405,plain,
( e24 != op2(e23,h(e12))
| h(e12) != e20
| e24 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e24,op2(e23,h(e12))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_406,plain,
( e24 != op2(e23,h(e12))
| e24 = op2(e23,e20)
| h(e11) = e20
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),e20) )],[refute_0_404,refute_0_405]) ).
cnf(refute_0_407,plain,
( e24 = op2(e23,e20)
| h(e11) = e20
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e24,op2(e23,h(e12))) )],[refute_0_254,refute_0_406]) ).
cnf(refute_0_408,plain,
op2(e23,e20) = e23,
inference(canonicalize,[],[normalize_0_57]) ).
cnf(refute_0_409,plain,
( e24 != op2(e23,e20)
| op2(e23,e20) != e23
| e24 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e24,e23) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_0_410,plain,
( e24 != op2(e23,e20)
| e24 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
( e24 = e23
| h(e11) = e20
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e24,op2(e23,e20)) )],[refute_0_407,refute_0_410]) ).
cnf(refute_0_412,plain,
e23 != e24,
inference(canonicalize,[],[normalize_0_58]) ).
cnf(refute_0_413,plain,
( e24 != e23
| e23 = e24 ),
inference(subst,[],[refute_0_158:[bind(X,$fot(e24)),bind(Y,$fot(e23))]]) ).
cnf(refute_0_414,plain,
e24 != e23,
inference(resolve,[$cnf( $equal(e23,e24) )],[refute_0_413,refute_0_412]) ).
cnf(refute_0_415,plain,
( h(e11) = e20
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e24,e23) )],[refute_0_411,refute_0_414]) ).
cnf(refute_0_416,plain,
( h(e12) != e24
| j(h(e12)) != e12
| j(e24) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e12)),e12) ),[0,0],$fot(e24)]]) ).
cnf(refute_0_417,plain,
( j(h(e12)) != e12
| h(e11) = e20
| j(e24) = e12 ),
inference(resolve,[$cnf( $equal(h(e12),e24) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
( h(e11) = e20
| j(e24) = e12 ),
inference(resolve,[$cnf( $equal(j(h(e12)),e12) )],[refute_0_104,refute_0_417]) ).
cnf(refute_0_419,plain,
( j(e23) != op1(j(e24),j(e24))
| j(e24) != e12
| j(e23) = op1(e12,j(e24)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e23),op1(j(e24),j(e24))) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_420,plain,
( j(e23) != op1(j(e24),j(e24))
| h(e11) = e20
| j(e23) = op1(e12,j(e24)) ),
inference(resolve,[$cnf( $equal(j(e24),e12) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
( h(e11) = e20
| j(e23) = op1(e12,j(e24)) ),
inference(resolve,[$cnf( $equal(j(e23),op1(j(e24),j(e24))) )],[refute_0_103,refute_0_420]) ).
cnf(refute_0_422,plain,
( j(e23) != op1(e12,j(e24))
| j(e24) != e12
| j(e23) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(j(e23),op1(e12,j(e24))) ),[1,1],$fot(e12)]]) ).
cnf(refute_0_423,plain,
( j(e23) != op1(e12,j(e24))
| h(e11) = e20
| j(e23) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(j(e24),e12) )],[refute_0_418,refute_0_422]) ).
cnf(refute_0_424,plain,
( h(e11) = e20
| j(e23) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(j(e23),op1(e12,j(e24))) )],[refute_0_421,refute_0_423]) ).
cnf(refute_0_425,plain,
( j(e23) != op1(e12,e12)
| op1(e12,e12) != e13
| j(e23) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e23),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_0_426,plain,
( j(e23) != op1(e12,e12)
| j(e23) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_106,refute_0_425]) ).
cnf(refute_0_427,plain,
( h(e11) = e20
| j(e23) = e13 ),
inference(resolve,[$cnf( $equal(j(e23),op1(e12,e12)) )],[refute_0_424,refute_0_426]) ).
cnf(refute_0_428,plain,
( h(j(e23)) != e23
| j(e23) != e13
| h(e13) = e23 ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e23)),e23) ),[0,0],$fot(e13)]]) ).
cnf(refute_0_429,plain,
( h(j(e23)) != e23
| h(e11) = e20
| h(e13) = e23 ),
inference(resolve,[$cnf( $equal(j(e23),e13) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
( h(e11) = e20
| h(e13) = e23 ),
inference(resolve,[$cnf( $equal(h(j(e23)),e23) )],[refute_0_95,refute_0_429]) ).
cnf(refute_0_431,plain,
( e20 != op2(h(e13),h(e12))
| h(e13) != e23
| e20 = op2(e23,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e13),h(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_432,plain,
( e20 != op2(h(e13),h(e12))
| e20 = op2(e23,h(e12))
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(h(e13),e23) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
( e20 = op2(e23,h(e12))
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e13),h(e12))) )],[refute_0_94,refute_0_432]) ).
cnf(refute_0_434,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(canonicalize,[],[normalize_0_59]) ).
cnf(refute_0_435,plain,
op1(e13,e13) = e12,
inference(canonicalize,[],[normalize_0_60]) ).
cnf(refute_0_436,plain,
h(op1(e13,e13)) = h(op1(e13,e13)),
introduced(tautology,[refl,[$fot(h(op1(e13,e13)))]]) ).
cnf(refute_0_437,plain,
( h(op1(e13,e13)) != h(op1(e13,e13))
| op1(e13,e13) != e12
| h(op1(e13,e13)) = h(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e13,e13)),h(op1(e13,e13))) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_438,plain,
( op1(e13,e13) != e12
| h(op1(e13,e13)) = h(e12) ),
inference(resolve,[$cnf( $equal(h(op1(e13,e13)),h(op1(e13,e13))) )],[refute_0_436,refute_0_437]) ).
cnf(refute_0_439,plain,
h(op1(e13,e13)) = h(e12),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_0_435,refute_0_438]) ).
cnf(refute_0_440,plain,
( h(op1(e13,e13)) != h(e12)
| h(op1(e13,e13)) != op2(h(e13),h(e13))
| h(e12) = op2(h(e13),h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e13,e13)),op2(h(e13),h(e13))) ),[0],$fot(h(e12))]]) ).
cnf(refute_0_441,plain,
( h(op1(e13,e13)) != op2(h(e13),h(e13))
| h(e12) = op2(h(e13),h(e13)) ),
inference(resolve,[$cnf( $equal(h(op1(e13,e13)),h(e12)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
h(e12) = op2(h(e13),h(e13)),
inference(resolve,[$cnf( $equal(h(op1(e13,e13)),op2(h(e13),h(e13))) )],[refute_0_434,refute_0_441]) ).
cnf(refute_0_443,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e13) != e23
| h(e12) = op2(h(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_444,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e11) = e20
| h(e12) = op2(h(e13),e23) ),
inference(resolve,[$cnf( $equal(h(e13),e23) )],[refute_0_430,refute_0_443]) ).
cnf(refute_0_445,plain,
( h(e11) = e20
| h(e12) = op2(h(e13),e23) ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) )],[refute_0_442,refute_0_444]) ).
cnf(refute_0_446,plain,
( h(e12) != e24
| h(e12) != op2(h(e13),e23)
| e24 = op2(h(e13),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e13),e23)) ),[0],$fot(e24)]]) ).
cnf(refute_0_447,plain,
( h(e12) != op2(h(e13),e23)
| e24 = op2(h(e13),e23)
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(h(e12),e24) )],[refute_0_415,refute_0_446]) ).
cnf(refute_0_448,plain,
( e24 = op2(h(e13),e23)
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e13),e23)) )],[refute_0_445,refute_0_447]) ).
cnf(refute_0_449,plain,
h(op1(e15,e13)) = op2(h(e15),h(e13)),
inference(canonicalize,[],[normalize_0_61]) ).
cnf(refute_0_450,plain,
op1(e15,e13) = e14,
inference(canonicalize,[],[normalize_0_62]) ).
cnf(refute_0_451,plain,
h(op1(e15,e13)) = h(op1(e15,e13)),
introduced(tautology,[refl,[$fot(h(op1(e15,e13)))]]) ).
cnf(refute_0_452,plain,
( h(op1(e15,e13)) != h(op1(e15,e13))
| op1(e15,e13) != e14
| h(op1(e15,e13)) = h(e14) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e15,e13)),h(op1(e15,e13))) ),[1,0],$fot(e14)]]) ).
cnf(refute_0_453,plain,
( op1(e15,e13) != e14
| h(op1(e15,e13)) = h(e14) ),
inference(resolve,[$cnf( $equal(h(op1(e15,e13)),h(op1(e15,e13))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
h(op1(e15,e13)) = h(e14),
inference(resolve,[$cnf( $equal(op1(e15,e13),e14) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
( h(op1(e15,e13)) != h(e14)
| h(op1(e15,e13)) != op2(h(e15),h(e13))
| h(e14) = op2(h(e15),h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e15,e13)),op2(h(e15),h(e13))) ),[0],$fot(h(e14))]]) ).
cnf(refute_0_456,plain,
( h(op1(e15,e13)) != op2(h(e15),h(e13))
| h(e14) = op2(h(e15),h(e13)) ),
inference(resolve,[$cnf( $equal(h(op1(e15,e13)),h(e14)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
h(e14) = op2(h(e15),h(e13)),
inference(resolve,[$cnf( $equal(h(op1(e15,e13)),op2(h(e15),h(e13))) )],[refute_0_449,refute_0_456]) ).
cnf(refute_0_458,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(canonicalize,[],[normalize_0_63]) ).
cnf(refute_0_459,plain,
( h(e13) != e20
| h(e14) != op2(h(e15),h(e13))
| h(e14) = op2(h(e15),e20) ),
introduced(tautology,[equality,[$cnf( $equal(h(e14),op2(h(e15),h(e13))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_460,plain,
( h(e14) != op2(h(e15),h(e13))
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e14) = op2(h(e15),e20) ),
inference(resolve,[$cnf( $equal(h(e13),e20) )],[refute_0_458,refute_0_459]) ).
cnf(refute_0_461,plain,
( h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e14) = op2(h(e15),e20) ),
inference(resolve,[$cnf( $equal(h(e14),op2(h(e15),h(e13))) )],[refute_0_457,refute_0_460]) ).
cnf(refute_0_462,plain,
h(op1(e15,e10)) = op2(h(e15),h(e10)),
inference(canonicalize,[],[normalize_0_64]) ).
cnf(refute_0_463,plain,
op1(e15,e10) = e15,
inference(canonicalize,[],[normalize_0_65]) ).
cnf(refute_0_464,plain,
h(op1(e15,e10)) = h(op1(e15,e10)),
introduced(tautology,[refl,[$fot(h(op1(e15,e10)))]]) ).
cnf(refute_0_465,plain,
( h(op1(e15,e10)) != h(op1(e15,e10))
| op1(e15,e10) != e15
| h(op1(e15,e10)) = h(e15) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e15,e10)),h(op1(e15,e10))) ),[1,0],$fot(e15)]]) ).
cnf(refute_0_466,plain,
( op1(e15,e10) != e15
| h(op1(e15,e10)) = h(e15) ),
inference(resolve,[$cnf( $equal(h(op1(e15,e10)),h(op1(e15,e10))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
h(op1(e15,e10)) = h(e15),
inference(resolve,[$cnf( $equal(op1(e15,e10),e15) )],[refute_0_463,refute_0_466]) ).
cnf(refute_0_468,plain,
( h(op1(e15,e10)) != h(e15)
| h(op1(e15,e10)) != op2(h(e15),h(e10))
| h(e15) = op2(h(e15),h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e15,e10)),op2(h(e15),h(e10))) ),[0],$fot(h(e15))]]) ).
cnf(refute_0_469,plain,
( h(op1(e15,e10)) != op2(h(e15),h(e10))
| h(e15) = op2(h(e15),h(e10)) ),
inference(resolve,[$cnf( $equal(h(op1(e15,e10)),h(e15)) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
h(e15) = op2(h(e15),h(e10)),
inference(resolve,[$cnf( $equal(h(op1(e15,e10)),op2(h(e15),h(e10))) )],[refute_0_462,refute_0_469]) ).
cnf(refute_0_471,plain,
op2(h(e15),h(e10)) = op2(h(e15),h(e10)),
introduced(tautology,[refl,[$fot(op2(h(e15),h(e10)))]]) ).
cnf(refute_0_472,plain,
( h(e10) != e20
| op2(h(e15),h(e10)) != op2(h(e15),h(e10))
| op2(h(e15),h(e10)) = op2(h(e15),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e15),h(e10)),op2(h(e15),h(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_473,plain,
( h(e10) != e20
| op2(h(e15),h(e10)) = op2(h(e15),e20) ),
inference(resolve,[$cnf( $equal(op2(h(e15),h(e10)),op2(h(e15),h(e10))) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
op2(h(e15),h(e10)) = op2(h(e15),e20),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_75,refute_0_473]) ).
cnf(refute_0_475,plain,
( h(e15) != op2(h(e15),h(e10))
| op2(h(e15),h(e10)) != op2(h(e15),e20)
| h(e15) = op2(h(e15),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e15),op2(h(e15),e20)) ),[0],$fot(op2(h(e15),h(e10)))]]) ).
cnf(refute_0_476,plain,
( h(e15) != op2(h(e15),h(e10))
| h(e15) = op2(h(e15),e20) ),
inference(resolve,[$cnf( $equal(op2(h(e15),h(e10)),op2(h(e15),e20)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
h(e15) = op2(h(e15),e20),
inference(resolve,[$cnf( $equal(h(e15),op2(h(e15),h(e10))) )],[refute_0_470,refute_0_476]) ).
cnf(refute_0_478,plain,
( h(e15) != op2(h(e15),e20)
| op2(h(e15),e20) = h(e15) ),
inference(subst,[],[refute_0_158:[bind(X,$fot(h(e15))),bind(Y,$fot(op2(h(e15),e20)))]]) ).
cnf(refute_0_479,plain,
op2(h(e15),e20) = h(e15),
inference(resolve,[$cnf( $equal(h(e15),op2(h(e15),e20)) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
( h(e14) != op2(h(e15),e20)
| op2(h(e15),e20) != h(e15)
| h(e14) = h(e15) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e14),h(e15)) ),[0],$fot(op2(h(e15),e20))]]) ).
cnf(refute_0_481,plain,
( h(e14) != op2(h(e15),e20)
| h(e14) = h(e15) ),
inference(resolve,[$cnf( $equal(op2(h(e15),e20),h(e15)) )],[refute_0_479,refute_0_480]) ).
cnf(refute_0_482,plain,
( h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e14) = h(e15) ),
inference(resolve,[$cnf( $equal(h(e14),op2(h(e15),e20)) )],[refute_0_461,refute_0_481]) ).
cnf(refute_0_483,plain,
( h(e14) != h(e15)
| h(e15) = h(e14) ),
inference(subst,[],[refute_0_158:[bind(X,$fot(h(e14))),bind(Y,$fot(h(e15)))]]) ).
cnf(refute_0_484,plain,
( h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e15) = h(e14) ),
inference(resolve,[$cnf( $equal(h(e14),h(e15)) )],[refute_0_482,refute_0_483]) ).
cnf(refute_0_485,plain,
( j(h(e15)) != e15
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| j(h(e14)) = e15 ),
inference(resolve,[$cnf( $equal(h(e15),h(e14)) )],[refute_0_484,refute_0_164]) ).
cnf(refute_0_486,plain,
( h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| j(h(e14)) = e15 ),
inference(resolve,[$cnf( $equal(j(h(e15)),e15) )],[refute_0_126,refute_0_485]) ).
cnf(refute_0_487,plain,
( e14 = e15
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(j(h(e14)),e15) )],[refute_0_486,refute_0_169]) ).
cnf(refute_0_488,plain,
( h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(e14,e15) )],[refute_0_487,refute_0_171]) ).
cnf(refute_0_489,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e13) != e21
| h(e12) = op2(e21,h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_490,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e12) = op2(e21,h(e13))
| h(e13) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e21) )],[refute_0_458,refute_0_489]) ).
cnf(refute_0_491,plain,
( h(e12) = op2(e21,h(e13))
| h(e13) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) )],[refute_0_442,refute_0_490]) ).
cnf(refute_0_492,plain,
( h(e12) != op2(e21,h(e13))
| h(e13) != e21
| h(e12) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(e21,h(e13))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_493,plain,
( h(e12) != op2(e21,h(e13))
| h(e12) = op2(e21,e21)
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e21) )],[refute_0_488,refute_0_492]) ).
cnf(refute_0_494,plain,
( h(e12) = op2(e21,e21)
| h(e13) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e21,h(e13))) )],[refute_0_491,refute_0_493]) ).
cnf(refute_0_495,plain,
( h(e12) = e20
| h(e13) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e21,e21)) )],[refute_0_494,refute_0_367]) ).
cnf(refute_0_496,plain,
( h(e13) != e20
| h(e13) != e21
| e20 = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),e21) ),[0],$fot(e20)]]) ).
cnf(refute_0_497,plain,
( h(e13) != e21
| e20 = e21
| h(e12) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e20) )],[refute_0_495,refute_0_496]) ).
cnf(refute_0_498,plain,
( e20 = e21
| h(e12) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e21) )],[refute_0_488,refute_0_497]) ).
cnf(refute_0_499,plain,
( h(e12) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(e20,e21) )],[refute_0_498,refute_0_195]) ).
cnf(refute_0_500,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e13) != e22
| h(e12) = op2(e22,h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_501,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e12) = op2(e22,h(e13))
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e22) )],[refute_0_458,refute_0_500]) ).
cnf(refute_0_502,plain,
( h(e12) = op2(e22,h(e13))
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) )],[refute_0_442,refute_0_501]) ).
cnf(refute_0_503,plain,
( h(e12) != op2(e22,h(e13))
| h(e13) != e22
| h(e12) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(e22,h(e13))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_504,plain,
( h(e12) != op2(e22,h(e13))
| h(e12) = op2(e22,e22)
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e22) )],[refute_0_488,refute_0_503]) ).
cnf(refute_0_505,plain,
( h(e12) = op2(e22,e22)
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e22,h(e13))) )],[refute_0_502,refute_0_504]) ).
cnf(refute_0_506,plain,
( h(e12) = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e22,e22)) )],[refute_0_505,refute_0_349]) ).
cnf(refute_0_507,plain,
( h(e13) != e20
| h(e13) != e22
| e20 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),e22) ),[0],$fot(e20)]]) ).
cnf(refute_0_508,plain,
( h(e13) != e22
| e20 = e22
| h(e12) = e20
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e20) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
( e20 = e22
| h(e12) = e20
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e22) )],[refute_0_499,refute_0_508]) ).
cnf(refute_0_510,plain,
( h(e12) = e20
| h(e13) = e21
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(e20,e22) )],[refute_0_509,refute_0_220]) ).
cnf(refute_0_511,plain,
( h(e13) != e21
| h(e13) != e22
| e21 = e22 ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),e22) ),[0],$fot(e21)]]) ).
cnf(refute_0_512,plain,
( h(e13) != e22
| e21 = e22
| h(e12) = e20
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e21) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
( e21 = e22
| h(e12) = e20
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(h(e13),e22) )],[refute_0_499,refute_0_512]) ).
cnf(refute_0_514,plain,
( h(e12) = e20
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25 ),
inference(resolve,[$cnf( $equal(e21,e22) )],[refute_0_513,refute_0_37]) ).
cnf(refute_0_515,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e13) != e25
| h(e12) = op2(e25,h(e13)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) ),[1,0],$fot(e25)]]) ).
cnf(refute_0_516,plain,
( h(e12) != op2(h(e13),h(e13))
| h(e12) = op2(e25,h(e13))
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e25) )],[refute_0_458,refute_0_515]) ).
cnf(refute_0_517,plain,
( h(e12) = op2(e25,h(e13))
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),op2(h(e13),h(e13))) )],[refute_0_442,refute_0_516]) ).
cnf(refute_0_518,plain,
( h(e12) != op2(e25,h(e13))
| h(e13) != e25
| h(e12) = op2(e25,e25) ),
introduced(tautology,[equality,[$cnf( $equal(h(e12),op2(e25,h(e13))) ),[1,1],$fot(e25)]]) ).
cnf(refute_0_519,plain,
( h(e12) != op2(e25,h(e13))
| h(e12) = op2(e25,e25)
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e25) )],[refute_0_488,refute_0_518]) ).
cnf(refute_0_520,plain,
( h(e12) = op2(e25,e25)
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e25,h(e13))) )],[refute_0_517,refute_0_519]) ).
cnf(refute_0_521,plain,
( h(e12) = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),op2(e25,e25)) )],[refute_0_520,refute_0_336]) ).
cnf(refute_0_522,plain,
( h(e13) != e20
| h(e13) != e25
| e20 = e25 ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),e25) ),[0],$fot(e20)]]) ).
cnf(refute_0_523,plain,
( h(e13) != e25
| e20 = e25
| h(e12) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e20) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
( e20 = e25
| h(e12) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e25) )],[refute_0_514,refute_0_523]) ).
cnf(refute_0_525,plain,
( h(e12) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(e20,e25) )],[refute_0_524,refute_0_241]) ).
cnf(refute_0_526,plain,
( h(e13) != e21
| h(e13) != e25
| e21 = e25 ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),e25) ),[0],$fot(e21)]]) ).
cnf(refute_0_527,plain,
( h(e13) != e25
| e21 = e25
| h(e12) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e21) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
( e21 = e25
| h(e12) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e25) )],[refute_0_514,refute_0_527]) ).
cnf(refute_0_529,plain,
( h(e12) = e20
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(e21,e25) )],[refute_0_528,refute_0_382]) ).
cnf(refute_0_530,plain,
( h(e13) != e22
| h(e13) != e25
| e22 = e25 ),
introduced(tautology,[equality,[$cnf( $equal(h(e13),e25) ),[0],$fot(e22)]]) ).
cnf(refute_0_531,plain,
( h(e13) != e25
| e22 = e25
| h(e12) = e20
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e22) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
( e22 = e25
| h(e12) = e20
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(h(e13),e25) )],[refute_0_514,refute_0_531]) ).
cnf(refute_0_533,plain,
( h(e12) = e20
| h(e13) = e23
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(e22,e25) )],[refute_0_532,refute_0_354]) ).
cnf(refute_0_534,plain,
( h(e13) != e23
| h(e14) != op2(h(e15),h(e13))
| h(e14) = op2(h(e15),e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e14),op2(h(e15),h(e13))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_535,plain,
( h(e14) != op2(h(e15),h(e13))
| h(e12) = e20
| h(e13) = e24
| h(e14) = op2(h(e15),e23) ),
inference(resolve,[$cnf( $equal(h(e13),e23) )],[refute_0_533,refute_0_534]) ).
cnf(refute_0_536,plain,
( h(e12) = e20
| h(e13) = e24
| h(e14) = op2(h(e15),e23) ),
inference(resolve,[$cnf( $equal(h(e14),op2(h(e15),h(e13))) )],[refute_0_457,refute_0_535]) ).
cnf(refute_0_537,plain,
j(op2(e23,e24)) = op1(j(e23),j(e24)),
inference(canonicalize,[],[normalize_0_66]) ).
cnf(refute_0_538,plain,
j(op2(e23,e24)) = j(op2(e23,e24)),
introduced(tautology,[refl,[$fot(j(op2(e23,e24)))]]) ).
cnf(refute_0_539,plain,
( j(op2(e23,e24)) != j(op2(e23,e24))
| op2(e23,e24) != e20
| j(op2(e23,e24)) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e23,e24)),j(op2(e23,e24))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_540,plain,
( op2(e23,e24) != e20
| j(op2(e23,e24)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(op2(e23,e24)),j(op2(e23,e24))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
j(op2(e23,e24)) = j(e20),
inference(resolve,[$cnf( $equal(op2(e23,e24),e20) )],[refute_0_401,refute_0_540]) ).
cnf(refute_0_542,plain,
( j(op2(e23,e24)) != j(e20)
| j(op2(e23,e24)) != op1(j(e23),j(e24))
| j(e20) = op1(j(e23),j(e24)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e23,e24)),op1(j(e23),j(e24))) ),[0],$fot(j(e20))]]) ).
cnf(refute_0_543,plain,
( j(op2(e23,e24)) != op1(j(e23),j(e24))
| j(e20) = op1(j(e23),j(e24)) ),
inference(resolve,[$cnf( $equal(j(op2(e23,e24)),j(e20)) )],[refute_0_541,refute_0_542]) ).
cnf(refute_0_544,plain,
j(e20) = op1(j(e23),j(e24)),
inference(resolve,[$cnf( $equal(j(op2(e23,e24)),op1(j(e23),j(e24))) )],[refute_0_537,refute_0_543]) ).
cnf(refute_0_545,plain,
( j(e20) != e10
| j(e20) != op1(j(e23),j(e24))
| e10 = op1(j(e23),j(e24)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e23),j(e24))) ),[0],$fot(e10)]]) ).
cnf(refute_0_546,plain,
( j(e20) != op1(j(e23),j(e24))
| e10 = op1(j(e23),j(e24)) ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_82,refute_0_545]) ).
cnf(refute_0_547,plain,
e10 = op1(j(e23),j(e24)),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e23),j(e24))) )],[refute_0_544,refute_0_546]) ).
cnf(refute_0_548,plain,
j(op2(e23,e23)) = op1(j(e23),j(e23)),
inference(canonicalize,[],[normalize_0_67]) ).
cnf(refute_0_549,plain,
j(op2(e23,e23)) = j(op2(e23,e23)),
introduced(tautology,[refl,[$fot(j(op2(e23,e23)))]]) ).
cnf(refute_0_550,plain,
( j(op2(e23,e23)) != j(op2(e23,e23))
| op2(e23,e23) != e24
| j(op2(e23,e23)) = j(e24) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e23,e23)),j(op2(e23,e23))) ),[1,0],$fot(e24)]]) ).
cnf(refute_0_551,plain,
( op2(e23,e23) != e24
| j(op2(e23,e23)) = j(e24) ),
inference(resolve,[$cnf( $equal(j(op2(e23,e23)),j(op2(e23,e23))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
j(op2(e23,e23)) = j(e24),
inference(resolve,[$cnf( $equal(op2(e23,e23),e24) )],[refute_0_45,refute_0_551]) ).
cnf(refute_0_553,plain,
( j(op2(e23,e23)) != j(e24)
| j(op2(e23,e23)) != op1(j(e23),j(e23))
| j(e24) = op1(j(e23),j(e23)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e23,e23)),op1(j(e23),j(e23))) ),[0],$fot(j(e24))]]) ).
cnf(refute_0_554,plain,
( j(op2(e23,e23)) != op1(j(e23),j(e23))
| j(e24) = op1(j(e23),j(e23)) ),
inference(resolve,[$cnf( $equal(j(op2(e23,e23)),j(e24)) )],[refute_0_552,refute_0_553]) ).
cnf(refute_0_555,plain,
j(e24) = op1(j(e23),j(e23)),
inference(resolve,[$cnf( $equal(j(op2(e23,e23)),op1(j(e23),j(e23))) )],[refute_0_548,refute_0_554]) ).
cnf(refute_0_556,plain,
( h(e13) != e23
| j(h(e13)) != e13
| j(e23) = e13 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e13)),e13) ),[0,0],$fot(e23)]]) ).
cnf(refute_0_557,plain,
( j(h(e13)) != e13
| h(e12) = e20
| h(e13) = e24
| j(e23) = e13 ),
inference(resolve,[$cnf( $equal(h(e13),e23) )],[refute_0_533,refute_0_556]) ).
cnf(refute_0_558,plain,
( h(e12) = e20
| h(e13) = e24
| j(e23) = e13 ),
inference(resolve,[$cnf( $equal(j(h(e13)),e13) )],[refute_0_278,refute_0_557]) ).
cnf(refute_0_559,plain,
( j(e23) != e13
| j(e24) != op1(j(e23),j(e23))
| j(e24) = op1(e13,j(e23)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e24),op1(j(e23),j(e23))) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_560,plain,
( j(e24) != op1(j(e23),j(e23))
| h(e12) = e20
| h(e13) = e24
| j(e24) = op1(e13,j(e23)) ),
inference(resolve,[$cnf( $equal(j(e23),e13) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
( h(e12) = e20
| h(e13) = e24
| j(e24) = op1(e13,j(e23)) ),
inference(resolve,[$cnf( $equal(j(e24),op1(j(e23),j(e23))) )],[refute_0_555,refute_0_560]) ).
cnf(refute_0_562,plain,
( j(e23) != e13
| j(e24) != op1(e13,j(e23))
| j(e24) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(j(e24),op1(e13,j(e23))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_563,plain,
( j(e24) != op1(e13,j(e23))
| h(e12) = e20
| h(e13) = e24
| j(e24) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(j(e23),e13) )],[refute_0_558,refute_0_562]) ).
cnf(refute_0_564,plain,
( h(e12) = e20
| h(e13) = e24
| j(e24) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(j(e24),op1(e13,j(e23))) )],[refute_0_561,refute_0_563]) ).
cnf(refute_0_565,plain,
( j(e24) != op1(e13,e13)
| op1(e13,e13) != e12
| j(e24) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e24),e12) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_0_566,plain,
( j(e24) != op1(e13,e13)
| j(e24) = e12 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e12) )],[refute_0_435,refute_0_565]) ).
cnf(refute_0_567,plain,
( h(e12) = e20
| h(e13) = e24
| j(e24) = e12 ),
inference(resolve,[$cnf( $equal(j(e24),op1(e13,e13)) )],[refute_0_564,refute_0_566]) ).
cnf(refute_0_568,plain,
( e10 != op1(j(e23),j(e24))
| j(e24) != e12
| e10 = op1(j(e23),e12) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(j(e23),j(e24))) ),[1,1],$fot(e12)]]) ).
cnf(refute_0_569,plain,
( e10 != op1(j(e23),j(e24))
| e10 = op1(j(e23),e12)
| h(e12) = e20
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(j(e24),e12) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( e10 = op1(j(e23),e12)
| h(e12) = e20
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(e10,op1(j(e23),j(e24))) )],[refute_0_547,refute_0_569]) ).
cnf(refute_0_571,plain,
( e10 != op1(j(e23),e12)
| j(e23) != e15
| e10 = op1(e15,e12) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(j(e23),e12)) ),[1,0],$fot(e15)]]) ).
cnf(refute_0_572,plain,
( e10 != op1(j(e23),e12)
| e10 = op1(e15,e12)
| h(e12) = e20
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(j(e23),e15) )],[refute_0_388,refute_0_571]) ).
cnf(refute_0_573,plain,
( e10 = op1(e15,e12)
| h(e12) = e20
| h(e13) = e24
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e10,op1(j(e23),e12)) )],[refute_0_570,refute_0_572]) ).
cnf(refute_0_574,plain,
op1(e15,e12) = e11,
inference(canonicalize,[],[normalize_0_68]) ).
cnf(refute_0_575,plain,
( e10 != op1(e15,e12)
| op1(e15,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e11) ),[0],$fot(op1(e15,e12))]]) ).
cnf(refute_0_576,plain,
( e10 != op1(e15,e12)
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e15,e12),e11) )],[refute_0_574,refute_0_575]) ).
cnf(refute_0_577,plain,
( e10 = e11
| h(e12) = e20
| h(e13) = e24
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e10,op1(e15,e12)) )],[refute_0_573,refute_0_576]) ).
cnf(refute_0_578,plain,
e10 != e11,
inference(canonicalize,[],[normalize_0_69]) ).
cnf(refute_0_579,plain,
( h(e12) = e20
| h(e13) = e24
| h(e15) = e24 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
( h(e14) != op2(h(e15),e23)
| h(e15) != e24
| h(e14) = op2(e24,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e14),op2(h(e15),e23)) ),[1,0],$fot(e24)]]) ).
cnf(refute_0_581,plain,
( h(e14) != op2(h(e15),e23)
| h(e12) = e20
| h(e13) = e24
| h(e14) = op2(e24,e23) ),
inference(resolve,[$cnf( $equal(h(e15),e24) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
( h(e12) = e20
| h(e13) = e24
| h(e14) = op2(e24,e23) ),
inference(resolve,[$cnf( $equal(h(e14),op2(h(e15),e23)) )],[refute_0_536,refute_0_581]) ).
cnf(refute_0_583,plain,
( h(e14) != op2(e24,e23)
| op2(e24,e23) != e20
| h(e14) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e14),e20) ),[0],$fot(op2(e24,e23))]]) ).
cnf(refute_0_584,plain,
( h(e14) != op2(e24,e23)
| h(e14) = e20 ),
inference(resolve,[$cnf( $equal(op2(e24,e23),e20) )],[refute_0_62,refute_0_583]) ).
cnf(refute_0_585,plain,
( h(e12) = e20
| h(e13) = e24
| h(e14) = e20 ),
inference(resolve,[$cnf( $equal(h(e14),op2(e24,e23)) )],[refute_0_582,refute_0_584]) ).
cnf(refute_0_586,plain,
( h(e14) != e20
| j(h(e14)) != e14
| j(e20) = e14 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e14)),e14) ),[0,0],$fot(e20)]]) ).
cnf(refute_0_587,plain,
( j(h(e14)) != e14
| h(e12) = e20
| h(e13) = e24
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(h(e14),e20) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
( h(e12) = e20
| h(e13) = e24
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(j(h(e14)),e14) )],[refute_0_167,refute_0_587]) ).
cnf(refute_0_589,plain,
( j(e20) != e10
| j(e20) != e14
| e10 = e14 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e14) ),[0],$fot(e10)]]) ).
cnf(refute_0_590,plain,
( j(e20) != e14
| e10 = e14 ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_82,refute_0_589]) ).
cnf(refute_0_591,plain,
( e10 = e14
| h(e12) = e20
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(j(e20),e14) )],[refute_0_588,refute_0_590]) ).
cnf(refute_0_592,plain,
( h(e12) = e20
| h(e13) = e24 ),
inference(resolve,[$cnf( $equal(e10,e14) )],[refute_0_591,refute_0_396]) ).
cnf(refute_0_593,plain,
( e24 != op2(h(e13),e23)
| h(e13) != e24
| e24 = op2(e24,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e24,op2(h(e13),e23)) ),[1,0],$fot(e24)]]) ).
cnf(refute_0_594,plain,
( e24 != op2(h(e13),e23)
| e24 = op2(e24,e23)
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(h(e13),e24) )],[refute_0_592,refute_0_593]) ).
cnf(refute_0_595,plain,
( e24 = op2(e24,e23)
| h(e11) = e20
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(e24,op2(h(e13),e23)) )],[refute_0_448,refute_0_594]) ).
cnf(refute_0_596,plain,
( e24 != op2(e24,e23)
| op2(e24,e23) != e20
| e24 = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e24,e20) ),[0],$fot(op2(e24,e23))]]) ).
cnf(refute_0_597,plain,
( e24 != op2(e24,e23)
| e24 = e20 ),
inference(resolve,[$cnf( $equal(op2(e24,e23),e20) )],[refute_0_62,refute_0_596]) ).
cnf(refute_0_598,plain,
( e24 = e20
| h(e11) = e20
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(e24,op2(e24,e23)) )],[refute_0_595,refute_0_597]) ).
cnf(refute_0_599,plain,
e20 != e24,
inference(canonicalize,[],[normalize_0_70]) ).
cnf(refute_0_600,plain,
( e24 != e20
| e20 = e24 ),
inference(subst,[],[refute_0_158:[bind(X,$fot(e24)),bind(Y,$fot(e20))]]) ).
cnf(refute_0_601,plain,
e24 != e20,
inference(resolve,[$cnf( $equal(e20,e24) )],[refute_0_600,refute_0_599]) ).
cnf(refute_0_602,plain,
( h(e11) = e20
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(e24,e20) )],[refute_0_598,refute_0_601]) ).
cnf(refute_0_603,plain,
( e20 != op2(e23,h(e12))
| h(e12) != e20
| e20 = op2(e23,e20) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e23,h(e12))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_604,plain,
( e20 != op2(e23,h(e12))
| e20 = op2(e23,e20)
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(h(e12),e20) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
( e20 = op2(e23,e20)
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,h(e12))) )],[refute_0_433,refute_0_604]) ).
cnf(refute_0_606,plain,
( e20 != op2(e23,e20)
| op2(e23,e20) != e23
| e20 = e23 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e23) ),[0],$fot(op2(e23,e20))]]) ).
cnf(refute_0_607,plain,
( e20 != op2(e23,e20)
| e20 = e23 ),
inference(resolve,[$cnf( $equal(op2(e23,e20),e23) )],[refute_0_408,refute_0_606]) ).
cnf(refute_0_608,plain,
( e20 = e23
| h(e11) = e20 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e20)) )],[refute_0_605,refute_0_607]) ).
cnf(refute_0_609,plain,
e20 != e23,
inference(canonicalize,[],[normalize_0_71]) ).
cnf(refute_0_610,plain,
h(e11) = e20,
inference(resolve,[$cnf( $equal(e20,e23) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
j(h(e11)) = j(h(e11)),
introduced(tautology,[refl,[$fot(j(h(e11)))]]) ).
cnf(refute_0_612,plain,
( h(e11) != e20
| j(h(e11)) != j(h(e11))
| j(h(e11)) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e11)),j(h(e11))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_613,plain,
( h(e11) != e20
| j(h(e11)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(h(e11)),j(h(e11))) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
j(h(e11)) = j(e20),
inference(resolve,[$cnf( $equal(h(e11),e20) )],[refute_0_610,refute_0_613]) ).
cnf(refute_0_615,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_616,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_158,refute_0_615]) ).
cnf(refute_0_617,plain,
( j(e20) != e10
| j(h(e11)) != j(e20)
| j(h(e11)) = e10 ),
inference(subst,[],[refute_0_616:[bind(X,$fot(j(h(e11)))),bind(Y,$fot(j(e20))),bind(Z,$fot(e10))]]) ).
cnf(refute_0_618,plain,
( j(e20) != e10
| j(h(e11)) = e10 ),
inference(resolve,[$cnf( $equal(j(h(e11)),j(e20)) )],[refute_0_614,refute_0_617]) ).
cnf(refute_0_619,plain,
j(h(e11)) = e10,
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_82,refute_0_618]) ).
cnf(refute_0_620,plain,
( j(h(e11)) != e10
| j(h(e11)) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e11)),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_621,plain,
( j(h(e11)) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(j(h(e11)),e10) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
e10 = e11,
inference(resolve,[$cnf( $equal(j(h(e11)),e11) )],[refute_0_2,refute_0_621]) ).
cnf(refute_0_623,plain,
( e10 != e11
| e11 = e10 ),
inference(subst,[],[refute_0_158:[bind(X,$fot(e10)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_624,plain,
e11 = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
op1(e11,e12) = op1(e11,e12),
introduced(tautology,[refl,[$fot(op1(e11,e12))]]) ).
cnf(refute_0_626,plain,
( e11 != e10
| op1(e11,e12) != op1(e11,e12)
| op1(e11,e12) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e11,e12)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_627,plain,
( e11 != e10
| op1(e11,e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e12)) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
op1(e11,e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != op1(e10,e12)
| op1(e11,e12) = e12 ),
inference(subst,[],[refute_0_616:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e10,e12))),bind(Z,$fot(e12))]]) ).
cnf(refute_0_630,plain,
( op1(e10,e12) != e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e10,e12)) )],[refute_0_628,refute_0_629]) ).
cnf(refute_0_631,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1,refute_0_630]) ).
cnf(refute_0_632,plain,
( op1(e11,e12) != e12
| op1(e11,e12) != e14
| e12 = e14 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e14) ),[0],$fot(e12)]]) ).
cnf(refute_0_633,plain,
( op1(e11,e12) != e14
| e12 = e14 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
e12 = e14,
inference(resolve,[$cnf( $equal(op1(e11,e12),e14) )],[refute_0_0,refute_0_633]) ).
cnf(refute_0_635,plain,
e12 != e14,
inference(canonicalize,[],[normalize_0_72]) ).
cnf(refute_0_636,plain,
$false,
inference(resolve,[$cnf( $equal(e12,e14) )],[refute_0_634,refute_0_635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG031+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 18:21:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 9.53/9.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.53/9.71
% 9.53/9.71 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.53/9.75
%------------------------------------------------------------------------------