TSTP Solution File: ALG083+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG083+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 17:35:02 EDT 2022
% Result : Theorem 1.82s 2.06s
% Output : CNFRefutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 82
% Number of leaves : 86
% Syntax : Number of formulae : 312 ( 123 unt; 0 def)
% Number of atoms : 1223 (1222 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 1179 ( 268 ~; 503 |; 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) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = 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(e21,e20) = e21
& op2(e21,e21) = e20
& op2(e21,e22) = e24
& op2(e21,e23) = e22
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e22 ) ).
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) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_1,plain,
op1(e11,e11) = e14,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
op1(e10,e10) = e10,
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,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,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) = e20
& op2(e21,e22) = e24
& op2(e21,e23) = e22
& op2(e21,e24) = e23
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e24
& op2(e23,e24) = e20
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e22 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_7,plain,
op2(e20,e20) = e20,
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_9,plain,
op1(e12,e12) = e13,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_10,plain,
op1(e13,e13) = e11,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_11,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_12,plain,
e11 != e13,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
op1(e14,e14) = e12,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_14,plain,
e12 != e14,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_15,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_16,plain,
op1(e11,e12) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_17,plain,
h(j(e20)) = e20,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_18,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_19,plain,
op1(e11,e10) = e11,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_20,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_21,plain,
op2(e21,e21) = e20,
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_22,plain,
h(j(e21)) = e21,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_23,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_24,plain,
h(j(e24)) = e24,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_25,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_26,plain,
op2(e22,e21) = e24,
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_27,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_28,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_29,plain,
op2(e22,e20) = e22,
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_30,plain,
h(j(e22)) = e22,
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_31,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_32,plain,
e22 != e24,
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
e10 != e14,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_34,plain,
e10 != e13,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_35,plain,
e10 != e11,
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
op1(e11,e11) = e14,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
op1(e10,e10) = e10,
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(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_4,plain,
op2(e20,e20) = e20,
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_5,plain,
j(op2(e20,e20)) = j(op2(e20,e20)),
introduced(tautology,[refl,[$fot(j(op2(e20,e20)))]]) ).
cnf(refute_0_6,plain,
( j(op2(e20,e20)) != j(op2(e20,e20))
| op2(e20,e20) != e20
| j(op2(e20,e20)) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e20,e20)),j(op2(e20,e20))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_7,plain,
( op2(e20,e20) != e20
| j(op2(e20,e20)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(op2(e20,e20)),j(op2(e20,e20))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
j(op2(e20,e20)) = j(e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( j(op2(e20,e20)) != j(e20)
| j(op2(e20,e20)) != op1(j(e20),j(e20))
| j(e20) = op1(j(e20),j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e20,e20)),op1(j(e20),j(e20))) ),[0],$fot(j(e20))]]) ).
cnf(refute_0_10,plain,
( j(op2(e20,e20)) != op1(j(e20),j(e20))
| j(e20) = op1(j(e20),j(e20)) ),
inference(resolve,[$cnf( $equal(j(op2(e20,e20)),j(e20)) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
j(e20) = op1(j(e20),j(e20)),
inference(resolve,[$cnf( $equal(j(op2(e20,e20)),op1(j(e20),j(e20))) )],[refute_0_3,refute_0_10]) ).
cnf(refute_0_12,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_13,plain,
( j(e20) != e11
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e11,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_14,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e11,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_12,refute_0_13]) ).
cnf(refute_0_15,plain,
( j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e11,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_11,refute_0_14]) ).
cnf(refute_0_16,plain,
( j(e20) != e11
| j(e20) != op1(e11,j(e20))
| j(e20) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e11,j(e20))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_17,plain,
( j(e20) != op1(e11,j(e20))
| j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_12,refute_0_16]) ).
cnf(refute_0_18,plain,
( j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e11,j(e20))) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( j(e20) != op1(e11,e11)
| op1(e11,e11) != e14
| j(e20) = e14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e14) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_0_20,plain,
( j(e20) != op1(e11,e11)
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e14) )],[refute_0_0,refute_0_19]) ).
cnf(refute_0_21,plain,
( j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e11,e11)) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
( j(e20) != e12
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e12,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_23,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e10
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e12,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
( j(e20) = e10
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e12,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_11,refute_0_23]) ).
cnf(refute_0_25,plain,
( j(e20) != e12
| j(e20) != op1(e12,j(e20))
| j(e20) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e12,j(e20))) ),[1,1],$fot(e12)]]) ).
cnf(refute_0_26,plain,
( j(e20) != op1(e12,j(e20))
| j(e20) = e10
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
( j(e20) = e10
| j(e20) = e13
| j(e20) = e14
| j(e20) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e12,j(e20))) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
op1(e12,e12) = e13,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_29,plain,
( j(e20) != op1(e12,e12)
| op1(e12,e12) != e13
| j(e20) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_0_30,plain,
( j(e20) != op1(e12,e12)
| j(e20) = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( j(e20) = e10
| j(e20) = e13
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e12,e12)) )],[refute_0_27,refute_0_30]) ).
cnf(refute_0_32,plain,
( j(e20) != e13
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(j(e20),e13) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_33,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e10
| j(e20) = e14
| j(e20) = op1(j(e20),e13) ),
inference(resolve,[$cnf( $equal(j(e20),e13) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
( j(e20) = e10
| j(e20) = e14
| j(e20) = op1(j(e20),e13) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_11,refute_0_33]) ).
cnf(refute_0_35,plain,
( j(e20) != e13
| j(e20) != op1(j(e20),e13)
| j(e20) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),e13)) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_36,plain,
( j(e20) != op1(j(e20),e13)
| j(e20) = e10
| j(e20) = e14
| j(e20) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(j(e20),e13) )],[refute_0_31,refute_0_35]) ).
cnf(refute_0_37,plain,
( j(e20) = e10
| j(e20) = e14
| j(e20) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),e13)) )],[refute_0_34,refute_0_36]) ).
cnf(refute_0_38,plain,
op1(e13,e13) = e11,
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_39,plain,
( j(e20) != op1(e13,e13)
| op1(e13,e13) != e11
| j(e20) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e11) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_0_40,plain,
( j(e20) != op1(e13,e13)
| j(e20) = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e13,e13)) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
( j(e20) != e11
| j(e20) != e13
| e11 = e13 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e13) ),[0],$fot(e11)]]) ).
cnf(refute_0_43,plain,
( j(e20) != e13
| e11 = e13
| j(e20) = e10
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
( e11 = e13
| j(e20) = e10
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(j(e20),e13) )],[refute_0_31,refute_0_43]) ).
cnf(refute_0_45,plain,
e11 != e13,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_46,plain,
( j(e20) = e10
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(e11,e13) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( j(e20) != e14
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e14,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e14)]]) ).
cnf(refute_0_48,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e10
| j(e20) = op1(e14,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e14) )],[refute_0_46,refute_0_47]) ).
cnf(refute_0_49,plain,
( j(e20) = e10
| j(e20) = op1(e14,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_11,refute_0_48]) ).
cnf(refute_0_50,plain,
( j(e20) != e14
| j(e20) != op1(e14,j(e20))
| j(e20) = op1(e14,e14) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e14,j(e20))) ),[1,1],$fot(e14)]]) ).
cnf(refute_0_51,plain,
( j(e20) != op1(e14,j(e20))
| j(e20) = e10
| j(e20) = op1(e14,e14) ),
inference(resolve,[$cnf( $equal(j(e20),e14) )],[refute_0_46,refute_0_50]) ).
cnf(refute_0_52,plain,
( j(e20) = e10
| j(e20) = op1(e14,e14) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e14,j(e20))) )],[refute_0_49,refute_0_51]) ).
cnf(refute_0_53,plain,
op1(e14,e14) = e12,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_54,plain,
( j(e20) != op1(e14,e14)
| op1(e14,e14) != e12
| j(e20) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e12) ),[0],$fot(op1(e14,e14))]]) ).
cnf(refute_0_55,plain,
( j(e20) != op1(e14,e14)
| j(e20) = e12 ),
inference(resolve,[$cnf( $equal(op1(e14,e14),e12) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( j(e20) = e10
| j(e20) = e12 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e14,e14)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
( j(e20) != e12
| j(e20) != e14
| e12 = e14 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e14) ),[0],$fot(e12)]]) ).
cnf(refute_0_58,plain,
( j(e20) != e14
| e12 = e14
| j(e20) = e10 ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( e12 = e14
| j(e20) = e10 ),
inference(resolve,[$cnf( $equal(j(e20),e14) )],[refute_0_46,refute_0_58]) ).
cnf(refute_0_60,plain,
e12 != e14,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_61,plain,
j(e20) = e10,
inference(resolve,[$cnf( $equal(e12,e14) )],[refute_0_59,refute_0_60]) ).
cnf(refute_0_62,plain,
h(op1(e11,e12)) = op2(h(e11),h(e12)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_63,plain,
op1(e11,e12) = e10,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_64,plain,
h(op1(e11,e12)) = h(op1(e11,e12)),
introduced(tautology,[refl,[$fot(h(op1(e11,e12)))]]) ).
cnf(refute_0_65,plain,
( h(op1(e11,e12)) != h(op1(e11,e12))
| op1(e11,e12) != e10
| h(op1(e11,e12)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e11,e12)),h(op1(e11,e12))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_66,plain,
( op1(e11,e12) != e10
| h(op1(e11,e12)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e11,e12)),h(op1(e11,e12))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
h(op1(e11,e12)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( h(op1(e11,e12)) != h(e10)
| h(op1(e11,e12)) != op2(h(e11),h(e12))
| h(e10) = op2(h(e11),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e11,e12)),op2(h(e11),h(e12))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_69,plain,
( h(op1(e11,e12)) != op2(h(e11),h(e12))
| h(e10) = op2(h(e11),h(e12)) ),
inference(resolve,[$cnf( $equal(h(op1(e11,e12)),h(e10)) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
h(e10) = op2(h(e11),h(e12)),
inference(resolve,[$cnf( $equal(h(op1(e11,e12)),op2(h(e11),h(e12))) )],[refute_0_62,refute_0_69]) ).
cnf(refute_0_71,plain,
h(j(e20)) = e20,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_72,plain,
h(j(e20)) = h(j(e20)),
introduced(tautology,[refl,[$fot(h(j(e20)))]]) ).
cnf(refute_0_73,plain,
( h(j(e20)) != h(j(e20))
| j(e20) != e10
| h(j(e20)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e20)),h(j(e20))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_74,plain,
( j(e20) != e10
| h(j(e20)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(j(e20)),h(j(e20))) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
h(j(e20)) = h(e10),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_61,refute_0_74]) ).
cnf(refute_0_76,plain,
( h(j(e20)) != e20
| h(j(e20)) != h(e10)
| h(e10) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e20)),e20) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_77,plain,
( h(j(e20)) != e20
| h(e10) = e20 ),
inference(resolve,[$cnf( $equal(h(j(e20)),h(e10)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
h(e10) = e20,
inference(resolve,[$cnf( $equal(h(j(e20)),e20) )],[refute_0_71,refute_0_77]) ).
cnf(refute_0_79,plain,
( h(e10) != e20
| h(e10) != op2(h(e11),h(e12))
| e20 = op2(h(e11),h(e12)) ),
introduced(tautology,[equality,[$cnf( $equal(h(e10),op2(h(e11),h(e12))) ),[0],$fot(e20)]]) ).
cnf(refute_0_80,plain,
( h(e10) != op2(h(e11),h(e12))
| e20 = op2(h(e11),h(e12)) ),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
e20 = op2(h(e11),h(e12)),
inference(resolve,[$cnf( $equal(h(e10),op2(h(e11),h(e12))) )],[refute_0_70,refute_0_80]) ).
cnf(refute_0_82,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_83,plain,
op1(e11,e10) = e11,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_84,plain,
h(op1(e11,e10)) = h(op1(e11,e10)),
introduced(tautology,[refl,[$fot(h(op1(e11,e10)))]]) ).
cnf(refute_0_85,plain,
( h(op1(e11,e10)) != h(op1(e11,e10))
| op1(e11,e10) != e11
| h(op1(e11,e10)) = h(e11) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e11,e10)),h(op1(e11,e10))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_86,plain,
( op1(e11,e10) != e11
| h(op1(e11,e10)) = h(e11) ),
inference(resolve,[$cnf( $equal(h(op1(e11,e10)),h(op1(e11,e10))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
h(op1(e11,e10)) = h(e11),
inference(resolve,[$cnf( $equal(op1(e11,e10),e11) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
( h(op1(e11,e10)) != h(e11)
| h(op1(e11,e10)) != op2(h(e11),h(e10))
| h(e11) = op2(h(e11),h(e10)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e11,e10)),op2(h(e11),h(e10))) ),[0],$fot(h(e11))]]) ).
cnf(refute_0_89,plain,
( h(op1(e11,e10)) != op2(h(e11),h(e10))
| h(e11) = op2(h(e11),h(e10)) ),
inference(resolve,[$cnf( $equal(h(op1(e11,e10)),h(e11)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
h(e11) = op2(h(e11),h(e10)),
inference(resolve,[$cnf( $equal(h(op1(e11,e10)),op2(h(e11),h(e10))) )],[refute_0_82,refute_0_89]) ).
cnf(refute_0_91,plain,
op2(h(e11),h(e10)) = op2(h(e11),h(e10)),
introduced(tautology,[refl,[$fot(op2(h(e11),h(e10)))]]) ).
cnf(refute_0_92,plain,
( h(e10) != e20
| op2(h(e11),h(e10)) != op2(h(e11),h(e10))
| op2(h(e11),h(e10)) = op2(h(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e11),h(e10)),op2(h(e11),h(e10))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_93,plain,
( h(e10) != e20
| op2(h(e11),h(e10)) = op2(h(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h(e11),h(e10)),op2(h(e11),h(e10))) )],[refute_0_91,refute_0_92]) ).
cnf(refute_0_94,plain,
op2(h(e11),h(e10)) = op2(h(e11),e20),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_78,refute_0_93]) ).
cnf(refute_0_95,plain,
( h(e11) != op2(h(e11),h(e10))
| op2(h(e11),h(e10)) != op2(h(e11),e20)
| h(e11) = op2(h(e11),e20) ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e11),op2(h(e11),e20)) ),[0],$fot(op2(h(e11),h(e10)))]]) ).
cnf(refute_0_96,plain,
( h(e11) != op2(h(e11),h(e10))
| h(e11) = op2(h(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h(e11),h(e10)),op2(h(e11),e20)) )],[refute_0_94,refute_0_95]) ).
cnf(refute_0_97,plain,
h(e11) = op2(h(e11),e20),
inference(resolve,[$cnf( $equal(h(e11),op2(h(e11),h(e10))) )],[refute_0_90,refute_0_96]) ).
cnf(refute_0_98,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_99,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_100,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
( h(e11) != op2(h(e11),e20)
| op2(h(e11),e20) = h(e11) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(h(e11))),bind(Y,$fot(op2(h(e11),e20)))]]) ).
cnf(refute_0_102,plain,
op2(h(e11),e20) = h(e11),
inference(resolve,[$cnf( $equal(h(e11),op2(h(e11),e20)) )],[refute_0_97,refute_0_101]) ).
cnf(refute_0_103,plain,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_104,plain,
h(op1(e14,e14)) = h(op1(e14,e14)),
introduced(tautology,[refl,[$fot(h(op1(e14,e14)))]]) ).
cnf(refute_0_105,plain,
( h(op1(e14,e14)) != h(op1(e14,e14))
| op1(e14,e14) != e12
| h(op1(e14,e14)) = h(e12) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e14,e14)),h(op1(e14,e14))) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_106,plain,
( op1(e14,e14) != e12
| h(op1(e14,e14)) = h(e12) ),
inference(resolve,[$cnf( $equal(h(op1(e14,e14)),h(op1(e14,e14))) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
h(op1(e14,e14)) = h(e12),
inference(resolve,[$cnf( $equal(op1(e14,e14),e12) )],[refute_0_53,refute_0_106]) ).
cnf(refute_0_108,plain,
( h(op1(e14,e14)) != h(e12)
| h(op1(e14,e14)) != op2(h(e14),h(e14))
| h(e12) = op2(h(e14),h(e14)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e14,e14)),op2(h(e14),h(e14))) ),[0],$fot(h(e12))]]) ).
cnf(refute_0_109,plain,
( h(op1(e14,e14)) != op2(h(e14),h(e14))
| h(e12) = op2(h(e14),h(e14)) ),
inference(resolve,[$cnf( $equal(h(op1(e14,e14)),h(e12)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
h(e12) = op2(h(e14),h(e14)),
inference(resolve,[$cnf( $equal(h(op1(e14,e14)),op2(h(e14),h(e14))) )],[refute_0_103,refute_0_109]) ).
cnf(refute_0_111,plain,
op2(e21,e21) = e20,
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_112,plain,
h(j(e21)) = e21,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_113,plain,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_114,plain,
j(op2(e21,e21)) = j(op2(e21,e21)),
introduced(tautology,[refl,[$fot(j(op2(e21,e21)))]]) ).
cnf(refute_0_115,plain,
( j(op2(e21,e21)) != j(op2(e21,e21))
| op2(e21,e21) != e20
| j(op2(e21,e21)) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e21,e21)),j(op2(e21,e21))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_116,plain,
( op2(e21,e21) != e20
| j(op2(e21,e21)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(op2(e21,e21)),j(op2(e21,e21))) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
j(op2(e21,e21)) = j(e20),
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_111,refute_0_116]) ).
cnf(refute_0_118,plain,
( j(op2(e21,e21)) != j(e20)
| j(op2(e21,e21)) != op1(j(e21),j(e21))
| j(e20) = op1(j(e21),j(e21)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e21,e21)),op1(j(e21),j(e21))) ),[0],$fot(j(e20))]]) ).
cnf(refute_0_119,plain,
( j(op2(e21,e21)) != op1(j(e21),j(e21))
| j(e20) = op1(j(e21),j(e21)) ),
inference(resolve,[$cnf( $equal(j(op2(e21,e21)),j(e20)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
j(e20) = op1(j(e21),j(e21)),
inference(resolve,[$cnf( $equal(j(op2(e21,e21)),op1(j(e21),j(e21))) )],[refute_0_113,refute_0_119]) ).
cnf(refute_0_121,plain,
( j(e20) != e10
| j(e20) != op1(j(e21),j(e21))
| e10 = op1(j(e21),j(e21)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e21),j(e21))) ),[0],$fot(e10)]]) ).
cnf(refute_0_122,plain,
( j(e20) != op1(j(e21),j(e21))
| e10 = op1(j(e21),j(e21)) ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_61,refute_0_121]) ).
cnf(refute_0_123,plain,
e10 = op1(j(e21),j(e21)),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e21),j(e21))) )],[refute_0_120,refute_0_122]) ).
cnf(refute_0_124,plain,
h(j(e24)) = e24,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_125,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_126,plain,
op2(e22,e21) = e24,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_127,plain,
j(op2(e22,e21)) = j(op2(e22,e21)),
introduced(tautology,[refl,[$fot(j(op2(e22,e21)))]]) ).
cnf(refute_0_128,plain,
( j(op2(e22,e21)) != j(op2(e22,e21))
| op2(e22,e21) != e24
| j(op2(e22,e21)) = j(e24) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e22,e21)),j(op2(e22,e21))) ),[1,0],$fot(e24)]]) ).
cnf(refute_0_129,plain,
( op2(e22,e21) != e24
| j(op2(e22,e21)) = j(e24) ),
inference(resolve,[$cnf( $equal(j(op2(e22,e21)),j(op2(e22,e21))) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
j(op2(e22,e21)) = j(e24),
inference(resolve,[$cnf( $equal(op2(e22,e21),e24) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
( j(op2(e22,e21)) != j(e24)
| j(op2(e22,e21)) != op1(j(e22),j(e21))
| j(e24) = op1(j(e22),j(e21)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e22,e21)),op1(j(e22),j(e21))) ),[0],$fot(j(e24))]]) ).
cnf(refute_0_132,plain,
( j(op2(e22,e21)) != op1(j(e22),j(e21))
| j(e24) = op1(j(e22),j(e21)) ),
inference(resolve,[$cnf( $equal(j(op2(e22,e21)),j(e24)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
j(e24) = op1(j(e22),j(e21)),
inference(resolve,[$cnf( $equal(j(op2(e22,e21)),op1(j(e22),j(e21))) )],[refute_0_125,refute_0_132]) ).
cnf(refute_0_134,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_135,plain,
( j(e21) != e10
| j(e24) != op1(j(e22),j(e21))
| j(e24) = op1(j(e22),e10) ),
introduced(tautology,[equality,[$cnf( $equal(j(e24),op1(j(e22),j(e21))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_136,plain,
( j(e24) != op1(j(e22),j(e21))
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e24) = op1(j(e22),e10) ),
inference(resolve,[$cnf( $equal(j(e21),e10) )],[refute_0_134,refute_0_135]) ).
cnf(refute_0_137,plain,
( j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e24) = op1(j(e22),e10) ),
inference(resolve,[$cnf( $equal(j(e24),op1(j(e22),j(e21))) )],[refute_0_133,refute_0_136]) ).
cnf(refute_0_138,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_139,plain,
op2(e22,e20) = e22,
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_140,plain,
j(op2(e22,e20)) = j(op2(e22,e20)),
introduced(tautology,[refl,[$fot(j(op2(e22,e20)))]]) ).
cnf(refute_0_141,plain,
( j(op2(e22,e20)) != j(op2(e22,e20))
| op2(e22,e20) != e22
| j(op2(e22,e20)) = j(e22) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e22,e20)),j(op2(e22,e20))) ),[1,0],$fot(e22)]]) ).
cnf(refute_0_142,plain,
( op2(e22,e20) != e22
| j(op2(e22,e20)) = j(e22) ),
inference(resolve,[$cnf( $equal(j(op2(e22,e20)),j(op2(e22,e20))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
j(op2(e22,e20)) = j(e22),
inference(resolve,[$cnf( $equal(op2(e22,e20),e22) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( j(op2(e22,e20)) != j(e22)
| j(op2(e22,e20)) != op1(j(e22),j(e20))
| j(e22) = op1(j(e22),j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e22,e20)),op1(j(e22),j(e20))) ),[0],$fot(j(e22))]]) ).
cnf(refute_0_145,plain,
( j(op2(e22,e20)) != op1(j(e22),j(e20))
| j(e22) = op1(j(e22),j(e20)) ),
inference(resolve,[$cnf( $equal(j(op2(e22,e20)),j(e22)) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
j(e22) = op1(j(e22),j(e20)),
inference(resolve,[$cnf( $equal(j(op2(e22,e20)),op1(j(e22),j(e20))) )],[refute_0_138,refute_0_145]) ).
cnf(refute_0_147,plain,
op1(j(e22),j(e20)) = op1(j(e22),j(e20)),
introduced(tautology,[refl,[$fot(op1(j(e22),j(e20)))]]) ).
cnf(refute_0_148,plain,
( j(e20) != e10
| op1(j(e22),j(e20)) != op1(j(e22),j(e20))
| op1(j(e22),j(e20)) = op1(j(e22),e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(j(e22),j(e20)),op1(j(e22),j(e20))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_149,plain,
( j(e20) != e10
| op1(j(e22),j(e20)) = op1(j(e22),e10) ),
inference(resolve,[$cnf( $equal(op1(j(e22),j(e20)),op1(j(e22),j(e20))) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
op1(j(e22),j(e20)) = op1(j(e22),e10),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_61,refute_0_149]) ).
cnf(refute_0_151,plain,
( j(e22) != op1(j(e22),j(e20))
| op1(j(e22),j(e20)) != op1(j(e22),e10)
| j(e22) = op1(j(e22),e10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e22),op1(j(e22),e10)) ),[0],$fot(op1(j(e22),j(e20)))]]) ).
cnf(refute_0_152,plain,
( j(e22) != op1(j(e22),j(e20))
| j(e22) = op1(j(e22),e10) ),
inference(resolve,[$cnf( $equal(op1(j(e22),j(e20)),op1(j(e22),e10)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
j(e22) = op1(j(e22),e10),
inference(resolve,[$cnf( $equal(j(e22),op1(j(e22),j(e20))) )],[refute_0_146,refute_0_152]) ).
cnf(refute_0_154,plain,
( j(e22) != op1(j(e22),e10)
| op1(j(e22),e10) = j(e22) ),
inference(subst,[],[refute_0_100:[bind(X,$fot(j(e22))),bind(Y,$fot(op1(j(e22),e10)))]]) ).
cnf(refute_0_155,plain,
op1(j(e22),e10) = j(e22),
inference(resolve,[$cnf( $equal(j(e22),op1(j(e22),e10)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
( j(e24) != op1(j(e22),e10)
| op1(j(e22),e10) != j(e22)
| j(e24) = j(e22) ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e24),j(e22)) ),[0],$fot(op1(j(e22),e10))]]) ).
cnf(refute_0_157,plain,
( j(e24) != op1(j(e22),e10)
| j(e24) = j(e22) ),
inference(resolve,[$cnf( $equal(op1(j(e22),e10),j(e22)) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e24) = j(e22) ),
inference(resolve,[$cnf( $equal(j(e24),op1(j(e22),e10)) )],[refute_0_137,refute_0_157]) ).
cnf(refute_0_159,plain,
( h(j(e24)) != e24
| j(e24) != j(e22)
| h(j(e22)) = e24 ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e24)),e24) ),[0,0],$fot(j(e22))]]) ).
cnf(refute_0_160,plain,
( h(j(e24)) != e24
| h(j(e22)) = e24
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(j(e24),j(e22)) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( h(j(e22)) = e24
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(h(j(e24)),e24) )],[refute_0_124,refute_0_160]) ).
cnf(refute_0_162,plain,
h(j(e22)) = e22,
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_163,plain,
( h(j(e22)) != e22
| h(j(e22)) != e24
| e22 = e24 ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e22)),e24) ),[0],$fot(e22)]]) ).
cnf(refute_0_164,plain,
( h(j(e22)) != e24
| e22 = e24 ),
inference(resolve,[$cnf( $equal(h(j(e22)),e22) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
( e22 = e24
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(h(j(e22)),e24) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
e22 != e24,
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_167,plain,
( j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e22,e24) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
( e10 != op1(j(e21),j(e21))
| j(e21) != e11
| e10 = op1(e11,j(e21)) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(j(e21),j(e21))) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_169,plain,
( e10 != op1(j(e21),j(e21))
| e10 = op1(e11,j(e21))
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(j(e21),e11) )],[refute_0_167,refute_0_168]) ).
cnf(refute_0_170,plain,
( e10 = op1(e11,j(e21))
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(j(e21),j(e21))) )],[refute_0_123,refute_0_169]) ).
cnf(refute_0_171,plain,
( e10 != op1(e11,j(e21))
| j(e21) != e11
| e10 = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(e11,j(e21))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_172,plain,
( e10 != op1(e11,j(e21))
| e10 = op1(e11,e11)
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(j(e21),e11) )],[refute_0_167,refute_0_171]) ).
cnf(refute_0_173,plain,
( e10 = op1(e11,e11)
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,j(e21))) )],[refute_0_170,refute_0_172]) ).
cnf(refute_0_174,plain,
( e10 != op1(e11,e11)
| op1(e11,e11) != e14
| e10 = e14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e14) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_0_175,plain,
( e10 != op1(e11,e11)
| e10 = e14 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e14) )],[refute_0_0,refute_0_174]) ).
cnf(refute_0_176,plain,
( e10 = e14
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(e11,e11)) )],[refute_0_173,refute_0_175]) ).
cnf(refute_0_177,plain,
e10 != e14,
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_178,plain,
( j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,e14) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
( e10 != op1(j(e21),j(e21))
| j(e21) != e12
| e10 = op1(e12,j(e21)) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(j(e21),j(e21))) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_180,plain,
( e10 != op1(j(e21),j(e21))
| e10 = op1(e12,j(e21))
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(j(e21),e12) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
( e10 = op1(e12,j(e21))
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(j(e21),j(e21))) )],[refute_0_123,refute_0_180]) ).
cnf(refute_0_182,plain,
( e10 != op1(e12,j(e21))
| j(e21) != e12
| e10 = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(e12,j(e21))) ),[1,1],$fot(e12)]]) ).
cnf(refute_0_183,plain,
( e10 != op1(e12,j(e21))
| e10 = op1(e12,e12)
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(j(e21),e12) )],[refute_0_178,refute_0_182]) ).
cnf(refute_0_184,plain,
( e10 = op1(e12,e12)
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,j(e21))) )],[refute_0_181,refute_0_183]) ).
cnf(refute_0_185,plain,
( e10 != op1(e12,e12)
| op1(e12,e12) != e13
| e10 = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e13) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_0_186,plain,
( e10 != op1(e12,e12)
| e10 = e13 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e13) )],[refute_0_28,refute_0_185]) ).
cnf(refute_0_187,plain,
( e10 = e13
| j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(e12,e12)) )],[refute_0_184,refute_0_186]) ).
cnf(refute_0_188,plain,
e10 != e13,
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_189,plain,
( j(e21) = e13
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
( e10 != op1(j(e21),j(e21))
| j(e21) != e13
| e10 = op1(e13,j(e21)) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(j(e21),j(e21))) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_191,plain,
( e10 != op1(j(e21),j(e21))
| e10 = op1(e13,j(e21))
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(j(e21),e13) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
( e10 = op1(e13,j(e21))
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(j(e21),j(e21))) )],[refute_0_123,refute_0_191]) ).
cnf(refute_0_193,plain,
( e10 != op1(e13,j(e21))
| j(e21) != e13
| e10 = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(e10,op1(e13,j(e21))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_194,plain,
( e10 != op1(e13,j(e21))
| e10 = op1(e13,e13)
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(j(e21),e13) )],[refute_0_189,refute_0_193]) ).
cnf(refute_0_195,plain,
( e10 = op1(e13,e13)
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(e13,j(e21))) )],[refute_0_192,refute_0_194]) ).
cnf(refute_0_196,plain,
( e10 != op1(e13,e13)
| op1(e13,e13) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(e10,e11) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_0_197,plain,
( e10 != op1(e13,e13)
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e11) )],[refute_0_38,refute_0_196]) ).
cnf(refute_0_198,plain,
( e10 = e11
| j(e21) = e14 ),
inference(resolve,[$cnf( $equal(e10,op1(e13,e13)) )],[refute_0_195,refute_0_197]) ).
cnf(refute_0_199,plain,
e10 != e11,
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_200,plain,
j(e21) = e14,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
h(j(e21)) = h(j(e21)),
introduced(tautology,[refl,[$fot(h(j(e21)))]]) ).
cnf(refute_0_202,plain,
( h(j(e21)) != h(j(e21))
| j(e21) != e14
| h(j(e21)) = h(e14) ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e21)),h(j(e21))) ),[1,0],$fot(e14)]]) ).
cnf(refute_0_203,plain,
( j(e21) != e14
| h(j(e21)) = h(e14) ),
inference(resolve,[$cnf( $equal(h(j(e21)),h(j(e21))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
h(j(e21)) = h(e14),
inference(resolve,[$cnf( $equal(j(e21),e14) )],[refute_0_200,refute_0_203]) ).
cnf(refute_0_205,plain,
( h(j(e21)) != e21
| h(j(e21)) != h(e14)
| h(e14) = e21 ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e21)),e21) ),[0],$fot(h(e14))]]) ).
cnf(refute_0_206,plain,
( h(j(e21)) != e21
| h(e14) = e21 ),
inference(resolve,[$cnf( $equal(h(j(e21)),h(e14)) )],[refute_0_204,refute_0_205]) ).
cnf(refute_0_207,plain,
h(e14) = e21,
inference(resolve,[$cnf( $equal(h(j(e21)),e21) )],[refute_0_112,refute_0_206]) ).
cnf(refute_0_208,plain,
op2(e21,h(e14)) = op2(e21,h(e14)),
introduced(tautology,[refl,[$fot(op2(e21,h(e14)))]]) ).
cnf(refute_0_209,plain,
( h(e14) != e21
| op2(e21,h(e14)) != op2(e21,h(e14))
| op2(e21,h(e14)) = op2(e21,e21) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e21,h(e14)),op2(e21,h(e14))) ),[1,1],$fot(e21)]]) ).
cnf(refute_0_210,plain,
( h(e14) != e21
| op2(e21,h(e14)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(e21,h(e14)),op2(e21,h(e14))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
op2(e21,h(e14)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(h(e14),e21) )],[refute_0_207,refute_0_210]) ).
cnf(refute_0_212,plain,
op2(h(e14),h(e14)) = op2(h(e14),h(e14)),
introduced(tautology,[refl,[$fot(op2(h(e14),h(e14)))]]) ).
cnf(refute_0_213,plain,
( h(e14) != e21
| op2(h(e14),h(e14)) != op2(h(e14),h(e14))
| op2(h(e14),h(e14)) = op2(e21,h(e14)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e14),h(e14)),op2(h(e14),h(e14))) ),[1,0],$fot(e21)]]) ).
cnf(refute_0_214,plain,
( h(e14) != e21
| op2(h(e14),h(e14)) = op2(e21,h(e14)) ),
inference(resolve,[$cnf( $equal(op2(h(e14),h(e14)),op2(h(e14),h(e14))) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
op2(h(e14),h(e14)) = op2(e21,h(e14)),
inference(resolve,[$cnf( $equal(h(e14),e21) )],[refute_0_207,refute_0_214]) ).
cnf(refute_0_216,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_217,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_100,refute_0_216]) ).
cnf(refute_0_218,plain,
( op2(e21,h(e14)) != op2(e21,e21)
| op2(h(e14),h(e14)) != op2(e21,h(e14))
| op2(h(e14),h(e14)) = op2(e21,e21) ),
inference(subst,[],[refute_0_217:[bind(X,$fot(op2(h(e14),h(e14)))),bind(Y,$fot(op2(e21,h(e14)))),bind(Z,$fot(op2(e21,e21)))]]) ).
cnf(refute_0_219,plain,
( op2(e21,h(e14)) != op2(e21,e21)
| op2(h(e14),h(e14)) = op2(e21,e21) ),
inference(resolve,[$cnf( $equal(op2(h(e14),h(e14)),op2(e21,h(e14))) )],[refute_0_215,refute_0_218]) ).
cnf(refute_0_220,plain,
op2(h(e14),h(e14)) = op2(e21,e21),
inference(resolve,[$cnf( $equal(op2(e21,h(e14)),op2(e21,e21)) )],[refute_0_211,refute_0_219]) ).
cnf(refute_0_221,plain,
( op2(e21,e21) != e20
| op2(h(e14),h(e14)) != op2(e21,e21)
| op2(h(e14),h(e14)) = e20 ),
inference(subst,[],[refute_0_217:[bind(X,$fot(op2(h(e14),h(e14)))),bind(Y,$fot(op2(e21,e21))),bind(Z,$fot(e20))]]) ).
cnf(refute_0_222,plain,
( op2(e21,e21) != e20
| op2(h(e14),h(e14)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h(e14),h(e14)),op2(e21,e21)) )],[refute_0_220,refute_0_221]) ).
cnf(refute_0_223,plain,
op2(h(e14),h(e14)) = e20,
inference(resolve,[$cnf( $equal(op2(e21,e21),e20) )],[refute_0_111,refute_0_222]) ).
cnf(refute_0_224,plain,
( h(e12) != op2(h(e14),h(e14))
| op2(h(e14),h(e14)) != e20
| h(e12) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e12),e20) ),[0],$fot(op2(h(e14),h(e14)))]]) ).
cnf(refute_0_225,plain,
( h(e12) != op2(h(e14),h(e14))
| h(e12) = e20 ),
inference(resolve,[$cnf( $equal(op2(h(e14),h(e14)),e20) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
h(e12) = e20,
inference(resolve,[$cnf( $equal(h(e12),op2(h(e14),h(e14))) )],[refute_0_110,refute_0_225]) ).
cnf(refute_0_227,plain,
op2(h(e11),h(e12)) = op2(h(e11),h(e12)),
introduced(tautology,[refl,[$fot(op2(h(e11),h(e12)))]]) ).
cnf(refute_0_228,plain,
( h(e12) != e20
| op2(h(e11),h(e12)) != op2(h(e11),h(e12))
| op2(h(e11),h(e12)) = op2(h(e11),e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e11),h(e12)),op2(h(e11),h(e12))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_229,plain,
( h(e12) != e20
| op2(h(e11),h(e12)) = op2(h(e11),e20) ),
inference(resolve,[$cnf( $equal(op2(h(e11),h(e12)),op2(h(e11),h(e12))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
op2(h(e11),h(e12)) = op2(h(e11),e20),
inference(resolve,[$cnf( $equal(h(e12),e20) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( op2(h(e11),e20) != h(e11)
| op2(h(e11),h(e12)) != op2(h(e11),e20)
| op2(h(e11),h(e12)) = h(e11) ),
inference(subst,[],[refute_0_217:[bind(X,$fot(op2(h(e11),h(e12)))),bind(Y,$fot(op2(h(e11),e20))),bind(Z,$fot(h(e11)))]]) ).
cnf(refute_0_232,plain,
( op2(h(e11),e20) != h(e11)
| op2(h(e11),h(e12)) = h(e11) ),
inference(resolve,[$cnf( $equal(op2(h(e11),h(e12)),op2(h(e11),e20)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
op2(h(e11),h(e12)) = h(e11),
inference(resolve,[$cnf( $equal(op2(h(e11),e20),h(e11)) )],[refute_0_102,refute_0_232]) ).
cnf(refute_0_234,plain,
( e20 != op2(h(e11),h(e12))
| op2(h(e11),h(e12)) != h(e11)
| e20 = h(e11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(e20,h(e11)) ),[0],$fot(op2(h(e11),h(e12)))]]) ).
cnf(refute_0_235,plain,
( e20 != op2(h(e11),h(e12))
| e20 = h(e11) ),
inference(resolve,[$cnf( $equal(op2(h(e11),h(e12)),h(e11)) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
e20 = h(e11),
inference(resolve,[$cnf( $equal(e20,op2(h(e11),h(e12))) )],[refute_0_81,refute_0_235]) ).
cnf(refute_0_237,plain,
( e20 != h(e11)
| h(e11) = e20 ),
inference(subst,[],[refute_0_100:[bind(X,$fot(e20)),bind(Y,$fot(h(e11)))]]) ).
cnf(refute_0_238,plain,
h(e11) = e20,
inference(resolve,[$cnf( $equal(e20,h(e11)) )],[refute_0_236,refute_0_237]) ).
cnf(refute_0_239,plain,
j(h(e11)) = j(h(e11)),
introduced(tautology,[refl,[$fot(j(h(e11)))]]) ).
cnf(refute_0_240,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_241,plain,
( h(e11) != e20
| j(h(e11)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(h(e11)),j(h(e11))) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
j(h(e11)) = j(e20),
inference(resolve,[$cnf( $equal(h(e11),e20) )],[refute_0_238,refute_0_241]) ).
cnf(refute_0_243,plain,
( j(e20) != e10
| j(h(e11)) != j(e20)
| j(h(e11)) = e10 ),
inference(subst,[],[refute_0_217:[bind(X,$fot(j(h(e11)))),bind(Y,$fot(j(e20))),bind(Z,$fot(e10))]]) ).
cnf(refute_0_244,plain,
( j(e20) != e10
| j(h(e11)) = e10 ),
inference(resolve,[$cnf( $equal(j(h(e11)),j(e20)) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
j(h(e11)) = e10,
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_61,refute_0_244]) ).
cnf(refute_0_246,plain,
( j(h(e11)) != e10
| j(h(e11)) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e11)),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_247,plain,
( j(h(e11)) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(j(h(e11)),e10) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
e10 = e11,
inference(resolve,[$cnf( $equal(j(h(e11)),e11) )],[refute_0_2,refute_0_247]) ).
cnf(refute_0_249,plain,
( e10 != e11
| e11 = e10 ),
inference(subst,[],[refute_0_100:[bind(X,$fot(e10)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_250,plain,
e11 = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
op1(e10,e11) = op1(e10,e11),
introduced(tautology,[refl,[$fot(op1(e10,e11))]]) ).
cnf(refute_0_252,plain,
( e11 != e10
| op1(e10,e11) != op1(e10,e11)
| op1(e10,e11) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),op1(e10,e11)) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_253,plain,
( e11 != e10
| op1(e10,e11) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e11)) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
op1(e10,e11) = op1(e10,e10),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_250,refute_0_253]) ).
cnf(refute_0_255,plain,
op1(e11,e11) = op1(e11,e11),
introduced(tautology,[refl,[$fot(op1(e11,e11))]]) ).
cnf(refute_0_256,plain,
( e11 != e10
| op1(e11,e11) != op1(e11,e11)
| op1(e11,e11) = op1(e10,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),op1(e11,e11)) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_257,plain,
( e11 != e10
| op1(e11,e11) = op1(e10,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e11,e11)) )],[refute_0_255,refute_0_256]) ).
cnf(refute_0_258,plain,
op1(e11,e11) = op1(e10,e11),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_250,refute_0_257]) ).
cnf(refute_0_259,plain,
( op1(e10,e11) != op1(e10,e10)
| op1(e11,e11) != op1(e10,e11)
| op1(e11,e11) = op1(e10,e10) ),
inference(subst,[],[refute_0_217:[bind(X,$fot(op1(e11,e11))),bind(Y,$fot(op1(e10,e11))),bind(Z,$fot(op1(e10,e10)))]]) ).
cnf(refute_0_260,plain,
( op1(e10,e11) != op1(e10,e10)
| op1(e11,e11) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e10,e11)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
op1(e11,e11) = op1(e10,e10),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e10)) )],[refute_0_254,refute_0_260]) ).
cnf(refute_0_262,plain,
( op1(e10,e10) != e10
| op1(e11,e11) != op1(e10,e10)
| op1(e11,e11) = e10 ),
inference(subst,[],[refute_0_217:[bind(X,$fot(op1(e11,e11))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e10))]]) ).
cnf(refute_0_263,plain,
( op1(e10,e10) != e10
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),op1(e10,e10)) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e10,e10),e10) )],[refute_0_1,refute_0_263]) ).
cnf(refute_0_265,plain,
( op1(e11,e11) != e10
| op1(e11,e11) != e14
| e10 = e14 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e14) ),[0],$fot(e10)]]) ).
cnf(refute_0_266,plain,
( op1(e11,e11) != e14
| e10 = e14 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_264,refute_0_265]) ).
cnf(refute_0_267,plain,
e10 = e14,
inference(resolve,[$cnf( $equal(op1(e11,e11),e14) )],[refute_0_0,refute_0_266]) ).
cnf(refute_0_268,plain,
$false,
inference(resolve,[$cnf( $equal(e10,e14) )],[refute_0_267,refute_0_177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG083+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : metis --show proof --show saturation %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Wed Jun 8 09:26:16 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 1.82/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.82/2.06
% 1.82/2.06 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 1.91/2.08
%------------------------------------------------------------------------------