TSTP Solution File: ALG086+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG086+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:35:03 EDT 2022
% Result : Theorem 1.36s 1.56s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 79
% Syntax : Number of formulae : 298 ( 98 unt; 0 def)
% Number of atoms : 1251 (1250 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 1218 ( 265 ~; 545 |; 405 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ) ).
fof(ax2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ) ).
fof(ax4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ) ).
fof(ax5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e24
& op2(e21,e22) = e23
& op2(e21,e23) = e20
& op2(e21,e24) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e24
& op2(e22,e23) = e21
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e20
& op2(e23,e23) = e24
& op2(e23,e24) = e21
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ) ).
fof(co1,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) )
=> ~ ( 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(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(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(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(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))
& 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(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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14 ) ) ).
fof(subgoal_0,plain,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 )
& 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(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(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(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(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))
& 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(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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 )
=> j(h(e14)) != e14 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 )
& 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(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(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(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(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))
& 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(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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 )
=> j(h(e14)) != e14 ),
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(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e14
& op1(e11,e14) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e14
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e12,e14) = e13
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e10
& op1(e13,e14) = e11
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e12
& op1(e14,e14) = e10 ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_1,plain,
op1(e11,e12) = e13,
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(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(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(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(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(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))
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& 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(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(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(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(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))
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_4,plain,
j(h(e11)) = e11,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,plain,
op1(e11,e11) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_7,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_8,plain,
op1(e10,e10) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_9,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e24
& op2(e21,e22) = e23
& op2(e21,e23) = e20
& op2(e21,e24) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e24
& op2(e22,e23) = e21
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e20
& op2(e23,e23) = e24
& op2(e23,e24) = e21
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e22
& op2(e24,e24) = e20 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_11,plain,
op2(e22,e22) = e24,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
op2(e21,e21) = e24,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_13,plain,
op2(e23,e23) = e24,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_14,plain,
op2(e24,e24) = e20,
inference(conjunct,[],[normalize_0_10]) ).
fof(normalize_0_15,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_16,plain,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
inference(canonicalize,[],[ax2]) ).
fof(normalize_0_17,plain,
e20 != e24,
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
j(h(e10)) = e10,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_19,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_20,plain,
e10 != e11,
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_22,plain,
op1(e12,e12) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_23,plain,
j(h(e12)) = e12,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_24,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_25,plain,
e10 != e12,
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_26,plain,
e11 != e12,
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_27,plain,
op1(e12,e14) = e13,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_28,plain,
op1(e11,e13) = e14,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_29,plain,
e10 != e13,
inference(conjunct,[],[normalize_0_19]) ).
cnf(refute_0_0,plain,
op1(e11,e12) = e13,
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,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
op1(e11,e11) = e10,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
h(op1(e11,e11)) = h(op1(e11,e11)),
introduced(tautology,[refl,[$fot(h(op1(e11,e11)))]]) ).
cnf(refute_0_6,plain,
( h(op1(e11,e11)) != h(op1(e11,e11))
| op1(e11,e11) != e10
| h(op1(e11,e11)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e11,e11)),h(op1(e11,e11))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_7,plain,
( op1(e11,e11) != e10
| h(op1(e11,e11)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e11,e11)),h(op1(e11,e11))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
h(op1(e11,e11)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( h(op1(e11,e11)) != h(e10)
| h(op1(e11,e11)) != op2(h(e11),h(e11))
| h(e10) = op2(h(e11),h(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e11,e11)),op2(h(e11),h(e11))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_10,plain,
( h(op1(e11,e11)) != op2(h(e11),h(e11))
| h(e10) = op2(h(e11),h(e11)) ),
inference(resolve,[$cnf( $equal(h(op1(e11,e11)),h(e10)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
h(e10) = op2(h(e11),h(e11)),
inference(resolve,[$cnf( $equal(h(op1(e11,e11)),op2(h(e11),h(e11))) )],[refute_0_3,refute_0_10]) ).
cnf(refute_0_12,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_13,plain,
op1(e10,e10) = e10,
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_14,plain,
h(op1(e10,e10)) = h(op1(e10,e10)),
introduced(tautology,[refl,[$fot(h(op1(e10,e10)))]]) ).
cnf(refute_0_15,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_16,plain,
( op1(e10,e10) != e10
| h(op1(e10,e10)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e10,e10)),h(op1(e10,e10))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
h(op1(e10,e10)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
( h(op1(e10,e10)) != h(e10)
| h(op1(e10,e10)) != op2(h(e10),h(e10))
| h(e10) = op2(h(e10),h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e10,e10)),op2(h(e10),h(e10))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_19,plain,
( h(op1(e10,e10)) != op2(h(e10),h(e10))
| h(e10) = op2(h(e10),h(e10)) ),
inference(resolve,[$cnf( $equal(h(op1(e10,e10)),h(e10)) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
h(e10) = op2(h(e10),h(e10)),
inference(resolve,[$cnf( $equal(h(op1(e10,e10)),op2(h(e10),h(e10))) )],[refute_0_12,refute_0_19]) ).
cnf(refute_0_21,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_22,plain,
( h(e10) != e22
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e22,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_23,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e22,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e22) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e22,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
( h(e10) != e22
| h(e10) != op2(e22,h(e10))
| h(e10) = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e22,h(e10))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_26,plain,
( h(e10) != op2(e22,h(e10))
| h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h(e10),e22) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e22,e22) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e22,h(e10))) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
op2(e22,e22) = e24,
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_29,plain,
( h(e10) != op2(e22,e22)
| op2(e22,e22) != e24
| h(e10) = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e24) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_30,plain,
( h(e10) != op2(e22,e22)
| h(e10) = e24 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e24) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e23
| h(e10) = e24 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e22,e22)) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( h(e10) != e21
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e21,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_33,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e21,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e21) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e21,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_20,refute_0_33]) ).
cnf(refute_0_35,plain,
( h(e10) != e21
| h(e10) != op2(e21,h(e10))
| h(e10) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e21,h(e10))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_36,plain,
( h(e10) != op2(e21,h(e10))
| h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h(e10),e21) )],[refute_0_31,refute_0_35]) ).
cnf(refute_0_37,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e24
| h(e10) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e21,h(e10))) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
op2(e21,e21) = e24,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_39,plain,
( h(e10) != op2(e21,e21)
| op2(e21,e21) != e24
| h(e10) = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e24) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_0_40,plain,
( h(e10) != op2(e21,e21)
| h(e10) = e24 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e24) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( h(e10) = e20
| h(e10) = e23
| h(e10) = e24 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e21,e21)) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
( h(e10) != e23
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e23,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_43,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = e24
| h(e10) = op2(e23,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e23) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( h(e10) = e20
| h(e10) = e24
| h(e10) = op2(e23,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_20,refute_0_43]) ).
cnf(refute_0_45,plain,
( h(e10) != e23
| h(e10) != op2(e23,h(e10))
| h(e10) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e23,h(e10))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_46,plain,
( h(e10) != op2(e23,h(e10))
| h(e10) = e20
| h(e10) = e24
| h(e10) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h(e10),e23) )],[refute_0_41,refute_0_45]) ).
cnf(refute_0_47,plain,
( h(e10) = e20
| h(e10) = e24
| h(e10) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e23,h(e10))) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
op2(e23,e23) = e24,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_49,plain,
( h(e10) != op2(e23,e23)
| op2(e23,e23) != e24
| h(e10) = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e24) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_0_50,plain,
( h(e10) != op2(e23,e23)
| h(e10) = e24 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e24) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( h(e10) = e20
| h(e10) = e24 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e23,e23)) )],[refute_0_47,refute_0_50]) ).
cnf(refute_0_52,plain,
( h(e10) != e24
| h(e10) != op2(h(e10),h(e10))
| h(e10) = op2(e24,h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) ),[1,0],$fot(e24)]]) ).
cnf(refute_0_53,plain,
( h(e10) != op2(h(e10),h(e10))
| h(e10) = e20
| h(e10) = op2(e24,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),e24) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( h(e10) = e20
| h(e10) = op2(e24,h(e10)) ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e10),h(e10))) )],[refute_0_20,refute_0_53]) ).
cnf(refute_0_55,plain,
( h(e10) != e24
| h(e10) != op2(e24,h(e10))
| h(e10) = op2(e24,e24) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e24,h(e10))) ),[1,1],$fot(e24)]]) ).
cnf(refute_0_56,plain,
( h(e10) != op2(e24,h(e10))
| h(e10) = e20
| h(e10) = op2(e24,e24) ),
inference(resolve,[$cnf( $equal(h(e10),e24) )],[refute_0_51,refute_0_55]) ).
cnf(refute_0_57,plain,
( h(e10) = e20
| h(e10) = op2(e24,e24) ),
inference(resolve,[$cnf( $equal(h(e10),op2(e24,h(e10))) )],[refute_0_54,refute_0_56]) ).
cnf(refute_0_58,plain,
op2(e24,e24) = e20,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_59,plain,
( h(e10) != op2(e24,e24)
| op2(e24,e24) != e20
| h(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e20) ),[0],$fot(op2(e24,e24))]]) ).
cnf(refute_0_60,plain,
( h(e10) != op2(e24,e24)
| h(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(e24,e24),e20) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
h(e10) = e20,
inference(resolve,[$cnf( $equal(h(e10),op2(e24,e24)) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
( h(e10) != e20
| h(e10) != op2(h(e11),h(e11))
| e20 = op2(h(e11),h(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e11),h(e11))) ),[0],$fot(e20)]]) ).
cnf(refute_0_63,plain,
( h(e10) != op2(h(e11),h(e11))
| e20 = op2(h(e11),h(e11)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
e20 = op2(h(e11),h(e11)),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e11),h(e11))) )],[refute_0_11,refute_0_63]) ).
cnf(refute_0_65,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_66,plain,
( h(e10) != op2(h(e11),h(e11))
| h(e11) != e22
| h(e10) = op2(e22,h(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e11),h(e11))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_67,plain,
( h(e10) != op2(h(e11),h(e11))
| h(e10) = op2(e22,h(e11))
| h(e11) = e20
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),e22) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( h(e10) = op2(e22,h(e11))
| h(e11) = e20
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e11),h(e11))) )],[refute_0_11,refute_0_67]) ).
cnf(refute_0_69,plain,
( h(e10) != e20
| h(e10) != op2(e22,h(e11))
| e20 = op2(e22,h(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e22,h(e11))) ),[0],$fot(e20)]]) ).
cnf(refute_0_70,plain,
( h(e10) != op2(e22,h(e11))
| e20 = op2(e22,h(e11)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_61,refute_0_69]) ).
cnf(refute_0_71,plain,
( e20 = op2(e22,h(e11))
| h(e11) = e20
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e22,h(e11))) )],[refute_0_68,refute_0_70]) ).
cnf(refute_0_72,plain,
( e20 != op2(e22,h(e11))
| h(e11) != e22
| e20 = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e22,h(e11))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_73,plain,
( e20 != op2(e22,h(e11))
| e20 = op2(e22,e22)
| h(e11) = e20
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),e22) )],[refute_0_65,refute_0_72]) ).
cnf(refute_0_74,plain,
( e20 = op2(e22,e22)
| h(e11) = e20
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,h(e11))) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
( e20 != op2(e22,e22)
| op2(e22,e22) != e24
| e20 = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e24) ),[0],$fot(op2(e22,e22))]]) ).
cnf(refute_0_76,plain,
( e20 != op2(e22,e22)
| e20 = e24 ),
inference(resolve,[$cnf( $equal(op2(e22,e22),e24) )],[refute_0_28,refute_0_75]) ).
cnf(refute_0_77,plain,
( e20 = e24
| h(e11) = e20
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e22)) )],[refute_0_74,refute_0_76]) ).
cnf(refute_0_78,plain,
e20 != e24,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_79,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,e24) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( h(e11) != e20
| j(h(e11)) != e11
| j(e20) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e11)),e11) ),[0,0],$fot(e20)]]) ).
cnf(refute_0_81,plain,
( j(h(e11)) != e11
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24
| j(e20) = e11 ),
inference(resolve,[$cnf( $equal(h(e11),e20) )],[refute_0_79,refute_0_80]) ).
cnf(refute_0_82,plain,
( h(e11) = e21
| h(e11) = e23
| h(e11) = e24
| j(e20) = e11 ),
inference(resolve,[$cnf( $equal(j(h(e11)),e11) )],[refute_0_2,refute_0_81]) ).
cnf(refute_0_83,plain,
j(h(e10)) = e10,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_84,plain,
j(h(e10)) = j(h(e10)),
introduced(tautology,[refl,[$fot(j(h(e10)))]]) ).
cnf(refute_0_85,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_86,plain,
( h(e10) != e20
| j(h(e10)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(h(e10)),j(h(e10))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
j(h(e10)) = j(e20),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_61,refute_0_86]) ).
cnf(refute_0_88,plain,
( j(h(e10)) != e10
| j(h(e10)) != j(e20)
| j(e20) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e10)),e10) ),[0],$fot(j(e20))]]) ).
cnf(refute_0_89,plain,
( j(h(e10)) != e10
| j(e20) = e10 ),
inference(resolve,[$cnf( $equal(j(h(e10)),j(e20)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
j(e20) = e10,
inference(resolve,[$cnf( $equal(j(h(e10)),e10) )],[refute_0_83,refute_0_89]) ).
cnf(refute_0_91,plain,
( j(e20) != e10
| j(e20) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_92,plain,
( j(e20) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_90,refute_0_91]) ).
cnf(refute_0_93,plain,
( e10 = e11
| h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_82,refute_0_92]) ).
cnf(refute_0_94,plain,
e10 != e11,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_95,plain,
( h(e11) = e21
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
( e20 != op2(h(e11),h(e11))
| h(e11) != e21
| e20 = op2(h(e11),e21) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e11),h(e11))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_97,plain,
( e20 != op2(h(e11),h(e11))
| e20 = op2(h(e11),e21)
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),e21) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
( e20 = op2(h(e11),e21)
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e11),h(e11))) )],[refute_0_64,refute_0_97]) ).
cnf(refute_0_99,plain,
( e20 != op2(h(e11),e21)
| h(e11) != e21
| e20 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e11),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_100,plain,
( e20 != op2(h(e11),e21)
| e20 = op2(e21,e21)
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),e21) )],[refute_0_95,refute_0_99]) ).
cnf(refute_0_101,plain,
( e20 = op2(e21,e21)
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e11),e21)) )],[refute_0_98,refute_0_100]) ).
cnf(refute_0_102,plain,
( e20 != op2(e21,e21)
| op2(e21,e21) != e24
| e20 = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e24) ),[0],$fot(op2(e21,e21))]]) ).
cnf(refute_0_103,plain,
( e20 != op2(e21,e21)
| e20 = e24 ),
inference(resolve,[$cnf( $equal(op2(e21,e21),e24) )],[refute_0_38,refute_0_102]) ).
cnf(refute_0_104,plain,
( e20 = e24
| h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e21)) )],[refute_0_101,refute_0_103]) ).
cnf(refute_0_105,plain,
( h(e11) = e23
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,e24) )],[refute_0_104,refute_0_78]) ).
cnf(refute_0_106,plain,
( e20 != op2(h(e11),h(e11))
| h(e11) != e23
| e20 = op2(e23,h(e11)) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e11),h(e11))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_107,plain,
( e20 != op2(h(e11),h(e11))
| e20 = op2(e23,h(e11))
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),e23) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
( e20 = op2(e23,h(e11))
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e11),h(e11))) )],[refute_0_64,refute_0_107]) ).
cnf(refute_0_109,plain,
( e20 != op2(e23,h(e11))
| h(e11) != e23
| e20 = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e23,h(e11))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_110,plain,
( e20 != op2(e23,h(e11))
| e20 = op2(e23,e23)
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(h(e11),e23) )],[refute_0_105,refute_0_109]) ).
cnf(refute_0_111,plain,
( e20 = op2(e23,e23)
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,h(e11))) )],[refute_0_108,refute_0_110]) ).
cnf(refute_0_112,plain,
( e20 != op2(e23,e23)
| op2(e23,e23) != e24
| e20 = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e24) ),[0],$fot(op2(e23,e23))]]) ).
cnf(refute_0_113,plain,
( e20 != op2(e23,e23)
| e20 = e24 ),
inference(resolve,[$cnf( $equal(op2(e23,e23),e24) )],[refute_0_48,refute_0_112]) ).
cnf(refute_0_114,plain,
( e20 = e24
| h(e11) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e23,e23)) )],[refute_0_111,refute_0_113]) ).
cnf(refute_0_115,plain,
h(e11) = e24,
inference(resolve,[$cnf( $equal(e20,e24) )],[refute_0_114,refute_0_78]) ).
cnf(refute_0_116,plain,
j(h(e11)) = j(h(e11)),
introduced(tautology,[refl,[$fot(j(h(e11)))]]) ).
cnf(refute_0_117,plain,
( h(e11) != e24
| j(h(e11)) != j(h(e11))
| j(h(e11)) = j(e24) ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e11)),j(h(e11))) ),[1,0],$fot(e24)]]) ).
cnf(refute_0_118,plain,
( h(e11) != e24
| j(h(e11)) = j(e24) ),
inference(resolve,[$cnf( $equal(j(h(e11)),j(h(e11))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
j(h(e11)) = j(e24),
inference(resolve,[$cnf( $equal(h(e11),e24) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( j(h(e11)) != e11
| j(h(e11)) != j(e24)
| j(e24) = e11 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e11)),e11) ),[0],$fot(j(e24))]]) ).
cnf(refute_0_121,plain,
( j(h(e11)) != e11
| j(e24) = e11 ),
inference(resolve,[$cnf( $equal(j(h(e11)),j(e24)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
j(e24) = e11,
inference(resolve,[$cnf( $equal(j(h(e11)),e11) )],[refute_0_2,refute_0_121]) ).
cnf(refute_0_123,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_124,plain,
op1(e12,e12) = e10,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_125,plain,
h(op1(e12,e12)) = h(op1(e12,e12)),
introduced(tautology,[refl,[$fot(h(op1(e12,e12)))]]) ).
cnf(refute_0_126,plain,
( h(op1(e12,e12)) != h(op1(e12,e12))
| op1(e12,e12) != e10
| h(op1(e12,e12)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e12)),h(op1(e12,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_127,plain,
( op1(e12,e12) != e10
| h(op1(e12,e12)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e12)),h(op1(e12,e12))) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
h(op1(e12,e12)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
( h(op1(e12,e12)) != h(e10)
| h(op1(e12,e12)) != op2(h(e12),h(e12))
| h(e10) = op2(h(e12),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e12,e12)),op2(h(e12),h(e12))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_130,plain,
( h(op1(e12,e12)) != op2(h(e12),h(e12))
| h(e10) = op2(h(e12),h(e12)) ),
inference(resolve,[$cnf( $equal(h(op1(e12,e12)),h(e10)) )],[refute_0_128,refute_0_129]) ).
cnf(refute_0_131,plain,
h(e10) = op2(h(e12),h(e12)),
inference(resolve,[$cnf( $equal(h(op1(e12,e12)),op2(h(e12),h(e12))) )],[refute_0_123,refute_0_130]) ).
cnf(refute_0_132,plain,
( h(e10) != e20
| h(e10) != op2(h(e12),h(e12))
| e20 = op2(h(e12),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e12),h(e12))) ),[0],$fot(e20)]]) ).
cnf(refute_0_133,plain,
( h(e10) != op2(h(e12),h(e12))
| e20 = op2(h(e12),h(e12)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_61,refute_0_132]) ).
cnf(refute_0_134,plain,
e20 = op2(h(e12),h(e12)),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e12),h(e12))) )],[refute_0_131,refute_0_133]) ).
cnf(refute_0_135,plain,
j(h(e12)) = e12,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_136,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_137,plain,
( h(e10) != op2(h(e12),h(e12))
| h(e12) != e22
| h(e10) = op2(e22,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e12),h(e12))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_138,plain,
( h(e10) != op2(h(e12),h(e12))
| h(e10) = op2(e22,h(e12))
| h(e12) = e20
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),e22) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
( h(e10) = op2(e22,h(e12))
| h(e12) = e20
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e12),h(e12))) )],[refute_0_131,refute_0_138]) ).
cnf(refute_0_140,plain,
( h(e10) != e20
| h(e10) != op2(e22,h(e12))
| e20 = op2(e22,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(e22,h(e12))) ),[0],$fot(e20)]]) ).
cnf(refute_0_141,plain,
( h(e10) != op2(e22,h(e12))
| e20 = op2(e22,h(e12)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_61,refute_0_140]) ).
cnf(refute_0_142,plain,
( e20 = op2(e22,h(e12))
| h(e12) = e20
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e10),op2(e22,h(e12))) )],[refute_0_139,refute_0_141]) ).
cnf(refute_0_143,plain,
( e20 != op2(e22,h(e12))
| h(e12) != e22
| e20 = op2(e22,e22) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(e22,h(e12))) ),[1,1],$fot(e22)]]) ).
cnf(refute_0_144,plain,
( e20 != op2(e22,h(e12))
| e20 = op2(e22,e22)
| h(e12) = e20
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(h(e12),e22) )],[refute_0_136,refute_0_143]) ).
cnf(refute_0_145,plain,
( e20 = op2(e22,e22)
| h(e12) = e20
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,h(e12))) )],[refute_0_142,refute_0_144]) ).
cnf(refute_0_146,plain,
( e20 = e24
| h(e12) = e20
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e20,op2(e22,e22)) )],[refute_0_145,refute_0_76]) ).
cnf(refute_0_147,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e20,e24) )],[refute_0_146,refute_0_78]) ).
cnf(refute_0_148,plain,
( h(e12) != e20
| j(h(e12)) != e12
| j(e20) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e12)),e12) ),[0,0],$fot(e20)]]) ).
cnf(refute_0_149,plain,
( j(h(e12)) != e12
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24
| j(e20) = e12 ),
inference(resolve,[$cnf( $equal(h(e12),e20) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
( h(e12) = e21
| h(e12) = e23
| h(e12) = e24
| j(e20) = e12 ),
inference(resolve,[$cnf( $equal(j(h(e12)),e12) )],[refute_0_135,refute_0_149]) ).
cnf(refute_0_151,plain,
( j(e20) != e10
| j(e20) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e12) ),[0],$fot(e10)]]) ).
cnf(refute_0_152,plain,
( j(e20) != e12
| e10 = e12 ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_90,refute_0_151]) ).
cnf(refute_0_153,plain,
( e10 = e12
| h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_150,refute_0_152]) ).
cnf(refute_0_154,plain,
e10 != e12,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_155,plain,
( h(e12) = e21
| h(e12) = e23
| h(e12) = e24 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( h(e12) != e24
| j(h(e12)) != e12
| j(e24) = e12 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e12)),e12) ),[0,0],$fot(e24)]]) ).
cnf(refute_0_157,plain,
( j(h(e12)) != e12
| h(e12) = e21
| h(e12) = e23
| j(e24) = e12 ),
inference(resolve,[$cnf( $equal(h(e12),e24) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( h(e12) = e21
| h(e12) = e23
| j(e24) = e12 ),
inference(resolve,[$cnf( $equal(j(h(e12)),e12) )],[refute_0_135,refute_0_157]) ).
cnf(refute_0_159,plain,
( j(e24) != e11
| j(e24) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(j(e24),e12) ),[0],$fot(e11)]]) ).
cnf(refute_0_160,plain,
( j(e24) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(j(e24),e11) )],[refute_0_122,refute_0_159]) ).
cnf(refute_0_161,plain,
( e11 = e12
| h(e12) = e21
| h(e12) = e23 ),
inference(resolve,[$cnf( $equal(j(e24),e12) )],[refute_0_158,refute_0_160]) ).
cnf(refute_0_162,plain,
e11 != e12,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_163,plain,
( h(e12) = e21
| h(e12) = e23 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
( e20 != op2(h(e12),h(e12))
| h(e12) != e21
| e20 = op2(h(e12),e21) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e12),h(e12))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_165,plain,
( e20 != op2(h(e12),h(e12))
| e20 = op2(h(e12),e21)
| h(e12) = e23 ),
inference(resolve,[$cnf( $equal(h(e12),e21) )],[refute_0_163,refute_0_164]) ).
cnf(refute_0_166,plain,
( e20 = op2(h(e12),e21)
| h(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e12),h(e12))) )],[refute_0_134,refute_0_165]) ).
cnf(refute_0_167,plain,
( e20 != op2(h(e12),e21)
| h(e12) != e21
| e20 = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(e20,op2(h(e12),e21)) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_168,plain,
( e20 != op2(h(e12),e21)
| e20 = op2(e21,e21)
| h(e12) = e23 ),
inference(resolve,[$cnf( $equal(h(e12),e21) )],[refute_0_163,refute_0_167]) ).
cnf(refute_0_169,plain,
( e20 = op2(e21,e21)
| h(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(h(e12),e21)) )],[refute_0_166,refute_0_168]) ).
cnf(refute_0_170,plain,
( e20 = e24
| h(e12) = e23 ),
inference(resolve,[$cnf( $equal(e20,op2(e21,e21)) )],[refute_0_169,refute_0_103]) ).
cnf(refute_0_171,plain,
h(e12) = e23,
inference(resolve,[$cnf( $equal(e20,e24) )],[refute_0_170,refute_0_78]) ).
cnf(refute_0_172,plain,
op2(e23,h(e12)) = op2(e23,h(e12)),
introduced(tautology,[refl,[$fot(op2(e23,h(e12)))]]) ).
cnf(refute_0_173,plain,
( h(e12) != e23
| op2(e23,h(e12)) != op2(e23,h(e12))
| op2(e23,h(e12)) = op2(e23,e23) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e23,h(e12)),op2(e23,h(e12))) ),[1,1],$fot(e23)]]) ).
cnf(refute_0_174,plain,
( h(e12) != e23
| op2(e23,h(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(e23,h(e12)),op2(e23,h(e12))) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
op2(e23,h(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(h(e12),e23) )],[refute_0_171,refute_0_174]) ).
cnf(refute_0_176,plain,
op2(h(e12),h(e12)) = op2(h(e12),h(e12)),
introduced(tautology,[refl,[$fot(op2(h(e12),h(e12)))]]) ).
cnf(refute_0_177,plain,
( h(e12) != e23
| op2(h(e12),h(e12)) != op2(h(e12),h(e12))
| op2(h(e12),h(e12)) = op2(e23,h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e12),h(e12)),op2(h(e12),h(e12))) ),[1,0],$fot(e23)]]) ).
cnf(refute_0_178,plain,
( h(e12) != e23
| op2(h(e12),h(e12)) = op2(e23,h(e12)) ),
inference(resolve,[$cnf( $equal(op2(h(e12),h(e12)),op2(h(e12),h(e12))) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
op2(h(e12),h(e12)) = op2(e23,h(e12)),
inference(resolve,[$cnf( $equal(h(e12),e23) )],[refute_0_171,refute_0_178]) ).
cnf(refute_0_180,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_181,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_182,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_184,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
( op2(e23,h(e12)) != op2(e23,e23)
| op2(h(e12),h(e12)) != op2(e23,h(e12))
| op2(h(e12),h(e12)) = op2(e23,e23) ),
inference(subst,[],[refute_0_184:[bind(X,$fot(op2(h(e12),h(e12)))),bind(Y,$fot(op2(e23,h(e12)))),bind(Z,$fot(op2(e23,e23)))]]) ).
cnf(refute_0_186,plain,
( op2(e23,h(e12)) != op2(e23,e23)
| op2(h(e12),h(e12)) = op2(e23,e23) ),
inference(resolve,[$cnf( $equal(op2(h(e12),h(e12)),op2(e23,h(e12))) )],[refute_0_179,refute_0_185]) ).
cnf(refute_0_187,plain,
op2(h(e12),h(e12)) = op2(e23,e23),
inference(resolve,[$cnf( $equal(op2(e23,h(e12)),op2(e23,e23)) )],[refute_0_175,refute_0_186]) ).
cnf(refute_0_188,plain,
( op2(e23,e23) != e24
| op2(h(e12),h(e12)) != op2(e23,e23)
| op2(h(e12),h(e12)) = e24 ),
inference(subst,[],[refute_0_184:[bind(X,$fot(op2(h(e12),h(e12)))),bind(Y,$fot(op2(e23,e23))),bind(Z,$fot(e24))]]) ).
cnf(refute_0_189,plain,
( op2(e23,e23) != e24
| op2(h(e12),h(e12)) = e24 ),
inference(resolve,[$cnf( $equal(op2(h(e12),h(e12)),op2(e23,e23)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
op2(h(e12),h(e12)) = e24,
inference(resolve,[$cnf( $equal(op2(e23,e23),e24) )],[refute_0_48,refute_0_189]) ).
cnf(refute_0_191,plain,
( e20 != op2(h(e12),h(e12))
| op2(h(e12),h(e12)) != e24
| e20 = e24 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,e24) ),[0],$fot(op2(h(e12),h(e12)))]]) ).
cnf(refute_0_192,plain,
( e20 != op2(h(e12),h(e12))
| e20 = e24 ),
inference(resolve,[$cnf( $equal(op2(h(e12),h(e12)),e24) )],[refute_0_190,refute_0_191]) ).
cnf(refute_0_193,plain,
e20 = e24,
inference(resolve,[$cnf( $equal(e20,op2(h(e12),h(e12))) )],[refute_0_134,refute_0_192]) ).
cnf(refute_0_194,plain,
( e20 != e24
| e24 = e20 ),
inference(subst,[],[refute_0_182:[bind(X,$fot(e20)),bind(Y,$fot(e24))]]) ).
cnf(refute_0_195,plain,
e24 = e20,
inference(resolve,[$cnf( $equal(e20,e24) )],[refute_0_193,refute_0_194]) ).
cnf(refute_0_196,plain,
j(e24) = j(e24),
introduced(tautology,[refl,[$fot(j(e24))]]) ).
cnf(refute_0_197,plain,
( e24 != e20
| j(e24) != j(e24)
| j(e24) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(e24),j(e24)) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_198,plain,
( e24 != e20
| j(e24) = j(e20) ),
inference(resolve,[$cnf( $equal(j(e24),j(e24)) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
j(e24) = j(e20),
inference(resolve,[$cnf( $equal(e24,e20) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( j(e20) != e10
| j(e24) != j(e20)
| j(e24) = e10 ),
inference(subst,[],[refute_0_184:[bind(X,$fot(j(e24))),bind(Y,$fot(j(e20))),bind(Z,$fot(e10))]]) ).
cnf(refute_0_201,plain,
( j(e20) != e10
| j(e24) = e10 ),
inference(resolve,[$cnf( $equal(j(e24),j(e20)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
j(e24) = e10,
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_90,refute_0_201]) ).
cnf(refute_0_203,plain,
( j(e24) != e10
| j(e24) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(j(e24),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_204,plain,
( j(e24) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(j(e24),e10) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
e10 = e11,
inference(resolve,[$cnf( $equal(j(e24),e11) )],[refute_0_122,refute_0_204]) ).
cnf(refute_0_206,plain,
( e10 != e11
| e11 = e10 ),
inference(subst,[],[refute_0_182:[bind(X,$fot(e10)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_207,plain,
e11 = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
op1(e11,e12) = op1(e11,e12),
introduced(tautology,[refl,[$fot(op1(e11,e12))]]) ).
cnf(refute_0_209,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_210,plain,
( e11 != e10
| op1(e11,e12) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e12)) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
op1(e11,e12) = op1(e10,e12),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
( op1(e10,e12) != e12
| op1(e11,e12) != op1(e10,e12)
| op1(e11,e12) = e12 ),
inference(subst,[],[refute_0_184:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e10,e12))),bind(Z,$fot(e12))]]) ).
cnf(refute_0_213,plain,
( op1(e10,e12) != e12
| op1(e11,e12) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e10,e12)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
op1(e11,e12) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1,refute_0_213]) ).
cnf(refute_0_215,plain,
( op1(e11,e12) != e12
| op1(e11,e12) != e13
| e12 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e13) ),[0],$fot(e12)]]) ).
cnf(refute_0_216,plain,
( op1(e11,e12) != e13
| e12 = e13 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e12) )],[refute_0_214,refute_0_215]) ).
cnf(refute_0_217,plain,
e12 = e13,
inference(resolve,[$cnf( $equal(op1(e11,e12),e13) )],[refute_0_0,refute_0_216]) ).
cnf(refute_0_218,plain,
op1(e12,e14) = e13,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_219,plain,
op1(e11,e13) = e14,
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_220,plain,
( e12 != e13
| e13 = e12 ),
inference(subst,[],[refute_0_182:[bind(X,$fot(e12)),bind(Y,$fot(e13))]]) ).
cnf(refute_0_221,plain,
e13 = e12,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_217,refute_0_220]) ).
cnf(refute_0_222,plain,
op1(e10,e13) = op1(e10,e13),
introduced(tautology,[refl,[$fot(op1(e10,e13))]]) ).
cnf(refute_0_223,plain,
( e13 != e12
| op1(e10,e13) != op1(e10,e13)
| op1(e10,e13) = op1(e10,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e13),op1(e10,e13)) ),[1,1],$fot(e12)]]) ).
cnf(refute_0_224,plain,
( e13 != e12
| op1(e10,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e13)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
op1(e10,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_0_221,refute_0_224]) ).
cnf(refute_0_226,plain,
op1(e11,e13) = op1(e11,e13),
introduced(tautology,[refl,[$fot(op1(e11,e13))]]) ).
cnf(refute_0_227,plain,
( e11 != e10
| op1(e11,e13) != op1(e11,e13)
| op1(e11,e13) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),op1(e11,e13)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_228,plain,
( e11 != e10
| op1(e11,e13) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e11,e13)) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
op1(e11,e13) = op1(e10,e13),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_207,refute_0_228]) ).
cnf(refute_0_230,plain,
( op1(e10,e13) != op1(e10,e12)
| op1(e11,e13) != op1(e10,e13)
| op1(e11,e13) = op1(e10,e12) ),
inference(subst,[],[refute_0_184:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e10,e13))),bind(Z,$fot(op1(e10,e12)))]]) ).
cnf(refute_0_231,plain,
( op1(e10,e13) != op1(e10,e12)
| op1(e11,e13) = op1(e10,e12) ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e13)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
op1(e11,e13) = op1(e10,e12),
inference(resolve,[$cnf( $equal(op1(e10,e13),op1(e10,e12)) )],[refute_0_225,refute_0_231]) ).
cnf(refute_0_233,plain,
( op1(e10,e12) != e12
| op1(e11,e13) != op1(e10,e12)
| op1(e11,e13) = e12 ),
inference(subst,[],[refute_0_184:[bind(X,$fot(op1(e11,e13))),bind(Y,$fot(op1(e10,e12))),bind(Z,$fot(e12))]]) ).
cnf(refute_0_234,plain,
( op1(e10,e12) != e12
| op1(e11,e13) = e12 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),op1(e10,e12)) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
op1(e11,e13) = e12,
inference(resolve,[$cnf( $equal(op1(e10,e12),e12) )],[refute_0_1,refute_0_234]) ).
cnf(refute_0_236,plain,
( op1(e11,e13) != e12
| op1(e11,e13) != e14
| e12 = e14 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e13),e14) ),[0],$fot(e12)]]) ).
cnf(refute_0_237,plain,
( op1(e11,e13) != e14
| e12 = e14 ),
inference(resolve,[$cnf( $equal(op1(e11,e13),e12) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
e12 = e14,
inference(resolve,[$cnf( $equal(op1(e11,e13),e14) )],[refute_0_219,refute_0_237]) ).
cnf(refute_0_239,plain,
( e12 != e14
| e14 = e12 ),
inference(subst,[],[refute_0_182:[bind(X,$fot(e12)),bind(Y,$fot(e14))]]) ).
cnf(refute_0_240,plain,
e14 = e12,
inference(resolve,[$cnf( $equal(e12,e14) )],[refute_0_238,refute_0_239]) ).
cnf(refute_0_241,plain,
op1(e12,e14) = op1(e12,e14),
introduced(tautology,[refl,[$fot(op1(e12,e14))]]) ).
cnf(refute_0_242,plain,
( e14 != e12
| op1(e12,e14) != op1(e12,e14)
| op1(e12,e14) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e14),op1(e12,e14)) ),[1,1],$fot(e12)]]) ).
cnf(refute_0_243,plain,
( e14 != e12
| op1(e12,e14) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(op1(e12,e14),op1(e12,e14)) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
op1(e12,e14) = op1(e12,e12),
inference(resolve,[$cnf( $equal(e14,e12) )],[refute_0_240,refute_0_243]) ).
cnf(refute_0_245,plain,
( op1(e12,e12) != e10
| op1(e12,e14) != op1(e12,e12)
| op1(e12,e14) = e10 ),
inference(subst,[],[refute_0_184:[bind(X,$fot(op1(e12,e14))),bind(Y,$fot(op1(e12,e12))),bind(Z,$fot(e10))]]) ).
cnf(refute_0_246,plain,
( op1(e12,e12) != e10
| op1(e12,e14) = e10 ),
inference(resolve,[$cnf( $equal(op1(e12,e14),op1(e12,e12)) )],[refute_0_244,refute_0_245]) ).
cnf(refute_0_247,plain,
op1(e12,e14) = e10,
inference(resolve,[$cnf( $equal(op1(e12,e12),e10) )],[refute_0_124,refute_0_246]) ).
cnf(refute_0_248,plain,
( op1(e12,e14) != e10
| op1(e12,e14) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e12,e14),e13) ),[0],$fot(e10)]]) ).
cnf(refute_0_249,plain,
( op1(e12,e14) != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e14),e10) )],[refute_0_247,refute_0_248]) ).
cnf(refute_0_250,plain,
( e10 != e13
| e13 != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e12) ),[0],$fot(e13)]]) ).
cnf(refute_0_251,plain,
( e10 != e13
| e10 = e12 ),
inference(resolve,[$cnf( $equal(e13,e12) )],[refute_0_221,refute_0_250]) ).
cnf(refute_0_252,plain,
( op1(e12,e14) != e13
| e10 = e12 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_249,refute_0_251]) ).
cnf(refute_0_253,plain,
e10 = e12,
inference(resolve,[$cnf( $equal(op1(e12,e14),e13) )],[refute_0_218,refute_0_252]) ).
cnf(refute_0_254,plain,
( e10 != e12
| e12 = e10 ),
inference(subst,[],[refute_0_182:[bind(X,$fot(e10)),bind(Y,$fot(e12))]]) ).
cnf(refute_0_255,plain,
e12 = e10,
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
( e12 != e10
| e12 != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(e12,e13) ),[0],$fot(e10)]]) ).
cnf(refute_0_257,plain,
( e12 != e13
| e10 = e13 ),
inference(resolve,[$cnf( $equal(e12,e10) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
e10 = e13,
inference(resolve,[$cnf( $equal(e12,e13) )],[refute_0_217,refute_0_257]) ).
cnf(refute_0_259,plain,
e10 != e13,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_260,plain,
$false,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_258,refute_0_259]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG086+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.09 % Command : metis --show proof --show saturation %s
% 0.08/0.29 % Computer : n021.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 600
% 0.08/0.29 % DateTime : Wed Jun 8 14:09:37 EDT 2022
% 0.08/0.29 % CPUTime :
% 0.08/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.36/1.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.36/1.56
% 1.36/1.56 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 1.36/1.60
%------------------------------------------------------------------------------