TSTP Solution File: ALG204+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 17:38:42 EDT 2022
% Result : Theorem 10.67s 10.85s
% Output : CNFRefutation 10.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 60
% Syntax : Number of formulae : 237 ( 90 unt; 0 def)
% Number of atoms : 1637 (1636 equ)
% Maximal formula atoms : 210 ( 6 avg)
% Number of connectives : 1620 ( 220 ~; 668 |; 729 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 132 ( 6 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 14 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e10 != e15
& e10 != e16
& e11 != e12
& e11 != e13
& e11 != e14
& e11 != e15
& e11 != e16
& e12 != e13
& e12 != e14
& e12 != e15
& e12 != e16
& e13 != e14
& e13 != e15
& e13 != e16
& e14 != e15
& e14 != e16
& e15 != e16 ) ).
fof(ax4,axiom,
( op1(e10,e10) = e13
& op1(e10,e11) = e10
& op1(e10,e12) = e16
& op1(e10,e13) = e11
& op1(e10,e14) = e14
& op1(e10,e15) = e12
& op1(e10,e16) = e15
& op1(e11,e10) = e10
& op1(e11,e11) = e16
& op1(e11,e12) = e11
& op1(e11,e13) = e15
& op1(e11,e14) = e13
& op1(e11,e15) = e14
& op1(e11,e16) = e12
& op1(e12,e10) = e16
& op1(e12,e11) = e11
& op1(e12,e12) = e15
& op1(e12,e13) = e12
& op1(e12,e14) = e10
& op1(e12,e15) = e13
& op1(e12,e16) = e14
& op1(e13,e10) = e11
& op1(e13,e11) = e15
& op1(e13,e12) = e12
& op1(e13,e13) = e14
& op1(e13,e14) = e16
& op1(e13,e15) = e10
& op1(e13,e16) = e13
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e10
& op1(e14,e13) = e16
& op1(e14,e14) = e12
& op1(e14,e15) = e15
& op1(e14,e16) = e11
& op1(e15,e10) = e12
& op1(e15,e11) = e14
& op1(e15,e12) = e13
& op1(e15,e13) = e10
& op1(e15,e14) = e15
& op1(e15,e15) = e11
& op1(e15,e16) = e16
& op1(e16,e10) = e15
& op1(e16,e11) = e12
& op1(e16,e12) = e14
& op1(e16,e13) = e13
& op1(e16,e14) = e11
& op1(e16,e15) = e16
& op1(e16,e16) = e10 ) ).
fof(ax5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e21
& op2(e20,e23) = e22
& op2(e20,e24) = e26
& op2(e20,e25) = e24
& op2(e20,e26) = e25
& op2(e21,e20) = e23
& op2(e21,e21) = e21
& op2(e21,e22) = e26
& op2(e21,e23) = e25
& op2(e21,e24) = e22
& op2(e21,e25) = e20
& op2(e21,e26) = e24
& op2(e22,e20) = e21
& op2(e22,e21) = e26
& op2(e22,e22) = e22
& op2(e22,e23) = e24
& op2(e22,e24) = e25
& op2(e22,e25) = e23
& op2(e22,e26) = e20
& op2(e23,e20) = e22
& op2(e23,e21) = e25
& op2(e23,e22) = e24
& op2(e23,e23) = e23
& op2(e23,e24) = e20
& op2(e23,e25) = e26
& op2(e23,e26) = e21
& op2(e24,e20) = e26
& op2(e24,e21) = e22
& op2(e24,e22) = e25
& op2(e24,e23) = e20
& op2(e24,e24) = e24
& op2(e24,e25) = e21
& op2(e24,e26) = e23
& op2(e25,e20) = e24
& op2(e25,e21) = e20
& op2(e25,e22) = e23
& op2(e25,e23) = e26
& op2(e25,e24) = e21
& op2(e25,e25) = e25
& op2(e25,e26) = e22
& op2(e26,e20) = e25
& op2(e26,e21) = e24
& op2(e26,e22) = e20
& op2(e26,e23) = e21
& op2(e26,e24) = e23
& op2(e26,e25) = e22
& op2(e26,e26) = e26 ) ).
fof(co1,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = e26 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25
| h(e11) = e26 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e12) = e26 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e13) = e26 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25
| h(e14) = e26 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25
| h(e15) = e26 )
& ( h(e16) = e20
| h(e16) = e21
| h(e16) = e22
| h(e16) = e23
| h(e16) = e24
| h(e16) = e25
| h(e16) = e26 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15
| j(e21) = e16 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15
| j(e22) = e16 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15
| j(e23) = e16 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15
| j(e24) = e16 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15
| j(e25) = e16 )
& ( j(e26) = e10
| j(e26) = e11
| j(e26) = e12
| j(e26) = e13
| j(e26) = e14
| j(e26) = e15
| j(e26) = e16 ) )
=> ~ ( h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e10,e16)) = op2(h(e10),h(e16))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e11,e16)) = op2(h(e11),h(e16))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e12,e16)) = op2(h(e12),h(e16))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e13,e16)) = op2(h(e13),h(e16))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e14,e16)) = op2(h(e14),h(e16))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e16)) = op2(h(e15),h(e16))
& h(op1(e16,e10)) = op2(h(e16),h(e10))
& h(op1(e16,e11)) = op2(h(e16),h(e11))
& h(op1(e16,e12)) = op2(h(e16),h(e12))
& h(op1(e16,e13)) = op2(h(e16),h(e13))
& h(op1(e16,e14)) = op2(h(e16),h(e14))
& h(op1(e16,e15)) = op2(h(e16),h(e15))
& h(op1(e16,e16)) = op2(h(e16),h(e16))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e20,e26)) = op1(j(e20),j(e26))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e21,e26)) = op1(j(e21),j(e26))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e22,e26)) = op1(j(e22),j(e26))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e23,e26)) = op1(j(e23),j(e26))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e24,e26)) = op1(j(e24),j(e26))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e26)) = op1(j(e25),j(e26))
& j(op2(e26,e20)) = op1(j(e26),j(e20))
& j(op2(e26,e21)) = op1(j(e26),j(e21))
& j(op2(e26,e22)) = op1(j(e26),j(e22))
& j(op2(e26,e23)) = op1(j(e26),j(e23))
& j(op2(e26,e24)) = op1(j(e26),j(e24))
& j(op2(e26,e25)) = op1(j(e26),j(e25))
& j(op2(e26,e26)) = op1(j(e26),j(e26))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& h(j(e26)) = e26
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15
& j(h(e16)) = e16 ) ) ).
fof(subgoal_0,plain,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = e26 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25
| h(e11) = e26 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e12) = e26 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e13) = e26 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25
| h(e14) = e26 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25
| h(e15) = e26 )
& ( h(e16) = e20
| h(e16) = e21
| h(e16) = e22
| h(e16) = e23
| h(e16) = e24
| h(e16) = e25
| h(e16) = e26 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15
| j(e21) = e16 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15
| j(e22) = e16 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15
| j(e23) = e16 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15
| j(e24) = e16 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15
| j(e25) = e16 )
& ( j(e26) = e10
| j(e26) = e11
| j(e26) = e12
| j(e26) = e13
| j(e26) = e14
| j(e26) = e15
| j(e26) = e16 )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e10,e16)) = op2(h(e10),h(e16))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e11,e16)) = op2(h(e11),h(e16))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e12,e16)) = op2(h(e12),h(e16))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e13,e16)) = op2(h(e13),h(e16))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e14,e16)) = op2(h(e14),h(e16))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e16)) = op2(h(e15),h(e16))
& h(op1(e16,e10)) = op2(h(e16),h(e10))
& h(op1(e16,e11)) = op2(h(e16),h(e11))
& h(op1(e16,e12)) = op2(h(e16),h(e12))
& h(op1(e16,e13)) = op2(h(e16),h(e13))
& h(op1(e16,e14)) = op2(h(e16),h(e14))
& h(op1(e16,e15)) = op2(h(e16),h(e15))
& h(op1(e16,e16)) = op2(h(e16),h(e16))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e20,e26)) = op1(j(e20),j(e26))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e21,e26)) = op1(j(e21),j(e26))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e22,e26)) = op1(j(e22),j(e26))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e23,e26)) = op1(j(e23),j(e26))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e24,e26)) = op1(j(e24),j(e26))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e26)) = op1(j(e25),j(e26))
& j(op2(e26,e20)) = op1(j(e26),j(e20))
& j(op2(e26,e21)) = op1(j(e26),j(e21))
& j(op2(e26,e22)) = op1(j(e26),j(e22))
& j(op2(e26,e23)) = op1(j(e26),j(e23))
& j(op2(e26,e24)) = op1(j(e26),j(e24))
& j(op2(e26,e25)) = op1(j(e26),j(e25))
& j(op2(e26,e26)) = op1(j(e26),j(e26))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& h(j(e26)) = e26
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 )
=> j(h(e16)) != e16 ),
inference(strip,[],[co1]) ).
fof(negate_0_0,plain,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = e26 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25
| h(e11) = e26 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e12) = e26 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e13) = e26 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25
| h(e14) = e26 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25
| h(e15) = e26 )
& ( h(e16) = e20
| h(e16) = e21
| h(e16) = e22
| h(e16) = e23
| h(e16) = e24
| h(e16) = e25
| h(e16) = e26 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15
| j(e21) = e16 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15
| j(e22) = e16 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15
| j(e23) = e16 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15
| j(e24) = e16 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15
| j(e25) = e16 )
& ( j(e26) = e10
| j(e26) = e11
| j(e26) = e12
| j(e26) = e13
| j(e26) = e14
| j(e26) = e15
| j(e26) = e16 )
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e10,e16)) = op2(h(e10),h(e16))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e11,e16)) = op2(h(e11),h(e16))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e12,e16)) = op2(h(e12),h(e16))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e13,e16)) = op2(h(e13),h(e16))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e14,e16)) = op2(h(e14),h(e16))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e16)) = op2(h(e15),h(e16))
& h(op1(e16,e10)) = op2(h(e16),h(e10))
& h(op1(e16,e11)) = op2(h(e16),h(e11))
& h(op1(e16,e12)) = op2(h(e16),h(e12))
& h(op1(e16,e13)) = op2(h(e16),h(e13))
& h(op1(e16,e14)) = op2(h(e16),h(e14))
& h(op1(e16,e15)) = op2(h(e16),h(e15))
& h(op1(e16,e16)) = op2(h(e16),h(e16))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e20,e26)) = op1(j(e20),j(e26))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e21,e26)) = op1(j(e21),j(e26))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e22,e26)) = op1(j(e22),j(e26))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e23,e26)) = op1(j(e23),j(e26))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e24,e26)) = op1(j(e24),j(e26))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e26)) = op1(j(e25),j(e26))
& j(op2(e26,e20)) = op1(j(e26),j(e20))
& j(op2(e26,e21)) = op1(j(e26),j(e21))
& j(op2(e26,e22)) = op1(j(e26),j(e22))
& j(op2(e26,e23)) = op1(j(e26),j(e23))
& j(op2(e26,e24)) = op1(j(e26),j(e24))
& j(op2(e26,e25)) = op1(j(e26),j(e25))
& j(op2(e26,e26)) = op1(j(e26),j(e26))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& h(j(e26)) = e26
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15 )
=> j(h(e16)) != e16 ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
( op1(e10,e10) = e13
& op1(e10,e11) = e10
& op1(e10,e12) = e16
& op1(e10,e13) = e11
& op1(e10,e14) = e14
& op1(e10,e15) = e12
& op1(e10,e16) = e15
& op1(e11,e10) = e10
& op1(e11,e11) = e16
& op1(e11,e12) = e11
& op1(e11,e13) = e15
& op1(e11,e14) = e13
& op1(e11,e15) = e14
& op1(e11,e16) = e12
& op1(e12,e10) = e16
& op1(e12,e11) = e11
& op1(e12,e12) = e15
& op1(e12,e13) = e12
& op1(e12,e14) = e10
& op1(e12,e15) = e13
& op1(e12,e16) = e14
& op1(e13,e10) = e11
& op1(e13,e11) = e15
& op1(e13,e12) = e12
& op1(e13,e13) = e14
& op1(e13,e14) = e16
& op1(e13,e15) = e10
& op1(e13,e16) = e13
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e10
& op1(e14,e13) = e16
& op1(e14,e14) = e12
& op1(e14,e15) = e15
& op1(e14,e16) = e11
& op1(e15,e10) = e12
& op1(e15,e11) = e14
& op1(e15,e12) = e13
& op1(e15,e13) = e10
& op1(e15,e14) = e15
& op1(e15,e15) = e11
& op1(e15,e16) = e16
& op1(e16,e10) = e15
& op1(e16,e11) = e12
& op1(e16,e12) = e14
& op1(e16,e13) = e13
& op1(e16,e14) = e11
& op1(e16,e15) = e16
& op1(e16,e16) = e10 ),
inference(canonicalize,[],[ax4]) ).
fof(normalize_0_1,plain,
op1(e10,e11) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
op1(e10,e10) = e13,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_3,plain,
op1(e11,e12) = e11,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_4,plain,
op1(e11,e11) = e16,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_5,plain,
( h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& h(j(e24)) = e24
& h(j(e25)) = e25
& h(j(e26)) = e26
& h(op1(e10,e10)) = op2(h(e10),h(e10))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e15)) = op2(h(e10),h(e15))
& h(op1(e10,e16)) = op2(h(e10),h(e16))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e15)) = op2(h(e11),h(e15))
& h(op1(e11,e16)) = op2(h(e11),h(e16))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e15)) = op2(h(e12),h(e15))
& h(op1(e12,e16)) = op2(h(e12),h(e16))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e15)) = op2(h(e13),h(e15))
& h(op1(e13,e16)) = op2(h(e13),h(e16))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e15)) = op2(h(e14),h(e15))
& h(op1(e14,e16)) = op2(h(e14),h(e16))
& h(op1(e15,e10)) = op2(h(e15),h(e10))
& h(op1(e15,e11)) = op2(h(e15),h(e11))
& h(op1(e15,e12)) = op2(h(e15),h(e12))
& h(op1(e15,e13)) = op2(h(e15),h(e13))
& h(op1(e15,e14)) = op2(h(e15),h(e14))
& h(op1(e15,e15)) = op2(h(e15),h(e15))
& h(op1(e15,e16)) = op2(h(e15),h(e16))
& h(op1(e16,e10)) = op2(h(e16),h(e10))
& h(op1(e16,e11)) = op2(h(e16),h(e11))
& h(op1(e16,e12)) = op2(h(e16),h(e12))
& h(op1(e16,e13)) = op2(h(e16),h(e13))
& h(op1(e16,e14)) = op2(h(e16),h(e14))
& h(op1(e16,e15)) = op2(h(e16),h(e15))
& h(op1(e16,e16)) = op2(h(e16),h(e16))
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13
& j(h(e14)) = e14
& j(h(e15)) = e15
& j(h(e16)) = e16
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e25)) = op1(j(e20),j(e25))
& j(op2(e20,e26)) = op1(j(e20),j(e26))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e25)) = op1(j(e21),j(e25))
& j(op2(e21,e26)) = op1(j(e21),j(e26))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e25)) = op1(j(e22),j(e25))
& j(op2(e22,e26)) = op1(j(e22),j(e26))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e25)) = op1(j(e23),j(e25))
& j(op2(e23,e26)) = op1(j(e23),j(e26))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e25)) = op1(j(e24),j(e25))
& j(op2(e24,e26)) = op1(j(e24),j(e26))
& j(op2(e25,e20)) = op1(j(e25),j(e20))
& j(op2(e25,e21)) = op1(j(e25),j(e21))
& j(op2(e25,e22)) = op1(j(e25),j(e22))
& j(op2(e25,e23)) = op1(j(e25),j(e23))
& j(op2(e25,e24)) = op1(j(e25),j(e24))
& j(op2(e25,e25)) = op1(j(e25),j(e25))
& j(op2(e25,e26)) = op1(j(e25),j(e26))
& j(op2(e26,e20)) = op1(j(e26),j(e20))
& j(op2(e26,e21)) = op1(j(e26),j(e21))
& j(op2(e26,e22)) = op1(j(e26),j(e22))
& j(op2(e26,e23)) = op1(j(e26),j(e23))
& j(op2(e26,e24)) = op1(j(e26),j(e24))
& j(op2(e26,e25)) = op1(j(e26),j(e25))
& j(op2(e26,e26)) = op1(j(e26),j(e26))
& ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| h(e10) = e25
| h(e10) = e26 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| h(e11) = e25
| h(e11) = e26 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| h(e12) = e25
| h(e12) = e26 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| h(e13) = e25
| h(e13) = e26 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| h(e14) = e25
| h(e14) = e26 )
& ( h(e15) = e20
| h(e15) = e21
| h(e15) = e22
| h(e15) = e23
| h(e15) = e24
| h(e15) = e25
| h(e15) = e26 )
& ( h(e16) = e20
| h(e16) = e21
| h(e16) = e22
| h(e16) = e23
| h(e16) = e24
| h(e16) = e25
| h(e16) = e26 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| j(e21) = e15
| j(e21) = e16 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| j(e22) = e15
| j(e22) = e16 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| j(e23) = e15
| j(e23) = e16 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| j(e24) = e15
| j(e24) = e16 )
& ( j(e25) = e10
| j(e25) = e11
| j(e25) = e12
| j(e25) = e13
| j(e25) = e14
| j(e25) = e15
| j(e25) = e16 )
& ( j(e26) = e10
| j(e26) = e11
| j(e26) = e12
| j(e26) = e13
| j(e26) = e14
| j(e26) = e15
| j(e26) = e16 ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_6,plain,
j(h(e10)) = e10,
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_8,plain,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e21
& op2(e20,e23) = e22
& op2(e20,e24) = e26
& op2(e20,e25) = e24
& op2(e20,e26) = e25
& op2(e21,e20) = e23
& op2(e21,e21) = e21
& op2(e21,e22) = e26
& op2(e21,e23) = e25
& op2(e21,e24) = e22
& op2(e21,e25) = e20
& op2(e21,e26) = e24
& op2(e22,e20) = e21
& op2(e22,e21) = e26
& op2(e22,e22) = e22
& op2(e22,e23) = e24
& op2(e22,e24) = e25
& op2(e22,e25) = e23
& op2(e22,e26) = e20
& op2(e23,e20) = e22
& op2(e23,e21) = e25
& op2(e23,e22) = e24
& op2(e23,e23) = e23
& op2(e23,e24) = e20
& op2(e23,e25) = e26
& op2(e23,e26) = e21
& op2(e24,e20) = e26
& op2(e24,e21) = e22
& op2(e24,e22) = e25
& op2(e24,e23) = e20
& op2(e24,e24) = e24
& op2(e24,e25) = e21
& op2(e24,e26) = e23
& op2(e25,e20) = e24
& op2(e25,e21) = e20
& op2(e25,e22) = e23
& op2(e25,e23) = e26
& op2(e25,e24) = e21
& op2(e25,e25) = e25
& op2(e25,e26) = e22
& op2(e26,e20) = e25
& op2(e26,e21) = e24
& op2(e26,e22) = e20
& op2(e26,e23) = e21
& op2(e26,e24) = e23
& op2(e26,e25) = e22
& op2(e26,e26) = e26 ),
inference(canonicalize,[],[ax5]) ).
fof(normalize_0_9,plain,
op2(e20,e20) = e20,
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_11,plain,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e10 != e15
& e10 != e16
& e11 != e12
& e11 != e13
& e11 != e14
& e11 != e15
& e11 != e16
& e12 != e13
& e12 != e14
& e12 != e15
& e12 != e16
& e13 != e14
& e13 != e15
& e13 != e16
& e14 != e15
& e14 != e16
& e15 != e16 ),
inference(canonicalize,[],[ax1]) ).
fof(normalize_0_12,plain,
e10 != e11,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
op1(e12,e12) = e15,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_14,plain,
e10 != e12,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_15,plain,
e11 != e12,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_16,plain,
op1(e13,e13) = e14,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_17,plain,
op1(e14,e14) = e12,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_18,plain,
e12 != e14,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_19,plain,
op1(e15,e15) = e11,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_20,plain,
e11 != e15,
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_21,plain,
h(op1(e16,e16)) = op2(h(e16),h(e16)),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_22,plain,
op1(e16,e16) = e10,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_23,plain,
h(j(e20)) = e20,
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_24,plain,
op1(e10,e15) = e12,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_25,plain,
op1(e10,e13) = e11,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_26,plain,
op1(e10,e16) = e15,
inference(conjunct,[],[normalize_0_0]) ).
fof(normalize_0_27,plain,
e10 != e13,
inference(conjunct,[],[normalize_0_11]) ).
cnf(refute_0_0,plain,
op1(e10,e11) = e10,
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
op1(e10,e10) = e13,
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_2,plain,
op1(e11,e12) = e11,
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
op1(e11,e11) = e16,
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_4,plain,
j(h(e10)) = e10,
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_6,plain,
op2(e20,e20) = e20,
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
j(op2(e20,e20)) = j(op2(e20,e20)),
introduced(tautology,[refl,[$fot(j(op2(e20,e20)))]]) ).
cnf(refute_0_8,plain,
( j(op2(e20,e20)) != j(op2(e20,e20))
| op2(e20,e20) != e20
| j(op2(e20,e20)) = j(e20) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e20,e20)),j(op2(e20,e20))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_9,plain,
( op2(e20,e20) != e20
| j(op2(e20,e20)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(op2(e20,e20)),j(op2(e20,e20))) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
j(op2(e20,e20)) = j(e20),
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( j(op2(e20,e20)) != j(e20)
| j(op2(e20,e20)) != op1(j(e20),j(e20))
| j(e20) = op1(j(e20),j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(op2(e20,e20)),op1(j(e20),j(e20))) ),[0],$fot(j(e20))]]) ).
cnf(refute_0_12,plain,
( j(op2(e20,e20)) != op1(j(e20),j(e20))
| j(e20) = op1(j(e20),j(e20)) ),
inference(resolve,[$cnf( $equal(j(op2(e20,e20)),j(e20)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
j(e20) = op1(j(e20),j(e20)),
inference(resolve,[$cnf( $equal(j(op2(e20,e20)),op1(j(e20),j(e20))) )],[refute_0_5,refute_0_12]) ).
cnf(refute_0_14,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_15,plain,
( j(e20) != e10
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e10,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_16,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e10,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
( j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e10,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_13,refute_0_16]) ).
cnf(refute_0_18,plain,
( j(e20) != e10
| j(e20) != op1(e10,j(e20))
| j(e20) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e10,j(e20))) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_19,plain,
( j(e20) != op1(e10,j(e20))
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_14,refute_0_18]) ).
cnf(refute_0_20,plain,
( j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e10,j(e20))) )],[refute_0_17,refute_0_19]) ).
cnf(refute_0_21,plain,
( j(e20) != op1(e10,e10)
| op1(e10,e10) != e13
| j(e20) = e13 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e13) ),[0],$fot(op1(e10,e10))]]) ).
cnf(refute_0_22,plain,
( j(e20) != op1(e10,e10)
| j(e20) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_1,refute_0_21]) ).
cnf(refute_0_23,plain,
( j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e10,e10)) )],[refute_0_20,refute_0_22]) ).
cnf(refute_0_24,plain,
( j(e20) != e11
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(j(e20),e11) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_25,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(j(e20),e11) ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_14,refute_0_24]) ).
cnf(refute_0_26,plain,
( j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(j(e20),e11) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_13,refute_0_25]) ).
cnf(refute_0_27,plain,
( j(e20) != e11
| j(e20) != op1(j(e20),e11)
| j(e20) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),e11)) ),[1,0],$fot(e11)]]) ).
cnf(refute_0_28,plain,
( j(e20) != op1(j(e20),e11)
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
( j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),e11)) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
( j(e20) != op1(e11,e11)
| op1(e11,e11) != e16
| j(e20) = e16 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e16) ),[0],$fot(op1(e11,e11))]]) ).
cnf(refute_0_31,plain,
( j(e20) != op1(e11,e11)
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(op1(e11,e11),e16) )],[refute_0_3,refute_0_30]) ).
cnf(refute_0_32,plain,
( j(e20) = e10
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e11,e11)) )],[refute_0_29,refute_0_31]) ).
cnf(refute_0_33,plain,
( j(e20) != e10
| j(e20) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_34,plain,
( j(e20) != e11
| e10 = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( e10 = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_23,refute_0_34]) ).
cnf(refute_0_36,plain,
e10 != e11,
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_37,plain,
( j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( j(e20) != e12
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e12,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e12)]]) ).
cnf(refute_0_39,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e10
| j(e20) = e11
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e12,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_14,refute_0_38]) ).
cnf(refute_0_40,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e12,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_13,refute_0_39]) ).
cnf(refute_0_41,plain,
( j(e20) != e12
| j(e20) != op1(e12,j(e20))
| j(e20) = op1(e12,e12) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e12,j(e20))) ),[1,1],$fot(e12)]]) ).
cnf(refute_0_42,plain,
( j(e20) != op1(e12,j(e20))
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_37,refute_0_41]) ).
cnf(refute_0_43,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e12,e12) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e12,j(e20))) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
op1(e12,e12) = e15,
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_45,plain,
( j(e20) != op1(e12,e12)
| op1(e12,e12) != e15
| j(e20) = e15 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e15) ),[0],$fot(op1(e12,e12))]]) ).
cnf(refute_0_46,plain,
( j(e20) != op1(e12,e12)
| j(e20) = e15 ),
inference(resolve,[$cnf( $equal(op1(e12,e12),e15) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e12,e12)) )],[refute_0_43,refute_0_46]) ).
cnf(refute_0_48,plain,
( j(e20) != e10
| j(e20) != e12
| e10 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e12) ),[0],$fot(e10)]]) ).
cnf(refute_0_49,plain,
( j(e20) != e12
| e10 = e12
| j(e20) = e11
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e10) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( e10 = e12
| j(e20) = e11
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_37,refute_0_49]) ).
cnf(refute_0_51,plain,
e10 != e12,
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_52,plain,
( j(e20) = e11
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(e10,e12) )],[refute_0_50,refute_0_51]) ).
cnf(refute_0_53,plain,
( j(e20) != e11
| j(e20) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e12) ),[0],$fot(e11)]]) ).
cnf(refute_0_54,plain,
( j(e20) != e12
| e11 = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_52,refute_0_53]) ).
cnf(refute_0_55,plain,
( e11 = e12
| j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_37,refute_0_54]) ).
cnf(refute_0_56,plain,
e11 != e12,
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_57,plain,
( j(e20) = e13
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_55,refute_0_56]) ).
cnf(refute_0_58,plain,
( j(e20) != e13
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e13,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e13)]]) ).
cnf(refute_0_59,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e13,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e13) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
( j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e13,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_13,refute_0_59]) ).
cnf(refute_0_61,plain,
( j(e20) != e13
| j(e20) != op1(e13,j(e20))
| j(e20) = op1(e13,e13) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e13,j(e20))) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_62,plain,
( j(e20) != op1(e13,j(e20))
| j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(j(e20),e13) )],[refute_0_57,refute_0_61]) ).
cnf(refute_0_63,plain,
( j(e20) = e14
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e13,e13) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e13,j(e20))) )],[refute_0_60,refute_0_62]) ).
cnf(refute_0_64,plain,
op1(e13,e13) = e14,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_65,plain,
( j(e20) != op1(e13,e13)
| op1(e13,e13) != e14
| j(e20) = e14 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e14) ),[0],$fot(op1(e13,e13))]]) ).
cnf(refute_0_66,plain,
( j(e20) != op1(e13,e13)
| j(e20) = e14 ),
inference(resolve,[$cnf( $equal(op1(e13,e13),e14) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( j(e20) = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e13,e13)) )],[refute_0_63,refute_0_66]) ).
cnf(refute_0_68,plain,
( j(e20) != e14
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e14,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e14)]]) ).
cnf(refute_0_69,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e14,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e14) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
( j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e14,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_13,refute_0_69]) ).
cnf(refute_0_71,plain,
( j(e20) != e14
| j(e20) != op1(e14,j(e20))
| j(e20) = op1(e14,e14) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e14,j(e20))) ),[1,1],$fot(e14)]]) ).
cnf(refute_0_72,plain,
( j(e20) != op1(e14,j(e20))
| j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e14,e14) ),
inference(resolve,[$cnf( $equal(j(e20),e14) )],[refute_0_67,refute_0_71]) ).
cnf(refute_0_73,plain,
( j(e20) = e15
| j(e20) = e16
| j(e20) = op1(e14,e14) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e14,j(e20))) )],[refute_0_70,refute_0_72]) ).
cnf(refute_0_74,plain,
op1(e14,e14) = e12,
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_75,plain,
( j(e20) != op1(e14,e14)
| op1(e14,e14) != e12
| j(e20) = e12 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e12) ),[0],$fot(op1(e14,e14))]]) ).
cnf(refute_0_76,plain,
( j(e20) != op1(e14,e14)
| j(e20) = e12 ),
inference(resolve,[$cnf( $equal(op1(e14,e14),e12) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( j(e20) = e12
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e14,e14)) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
( j(e20) != e12
| j(e20) != e14
| e12 = e14 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e14) ),[0],$fot(e12)]]) ).
cnf(refute_0_79,plain,
( j(e20) != e14
| e12 = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e12) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
( e12 = e14
| j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e14) )],[refute_0_67,refute_0_79]) ).
cnf(refute_0_81,plain,
e12 != e14,
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_82,plain,
( j(e20) = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(e12,e14) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
( j(e20) != e15
| j(e20) != op1(j(e20),j(e20))
| j(e20) = op1(e15,j(e20)) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) ),[1,0],$fot(e15)]]) ).
cnf(refute_0_84,plain,
( j(e20) != op1(j(e20),j(e20))
| j(e20) = e16
| j(e20) = op1(e15,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),e15) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
( j(e20) = e16
| j(e20) = op1(e15,j(e20)) ),
inference(resolve,[$cnf( $equal(j(e20),op1(j(e20),j(e20))) )],[refute_0_13,refute_0_84]) ).
cnf(refute_0_86,plain,
( j(e20) != e15
| j(e20) != op1(e15,j(e20))
| j(e20) = op1(e15,e15) ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),op1(e15,j(e20))) ),[1,1],$fot(e15)]]) ).
cnf(refute_0_87,plain,
( j(e20) != op1(e15,j(e20))
| j(e20) = e16
| j(e20) = op1(e15,e15) ),
inference(resolve,[$cnf( $equal(j(e20),e15) )],[refute_0_82,refute_0_86]) ).
cnf(refute_0_88,plain,
( j(e20) = e16
| j(e20) = op1(e15,e15) ),
inference(resolve,[$cnf( $equal(j(e20),op1(e15,j(e20))) )],[refute_0_85,refute_0_87]) ).
cnf(refute_0_89,plain,
op1(e15,e15) = e11,
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_90,plain,
( j(e20) != op1(e15,e15)
| op1(e15,e15) != e11
| j(e20) = e11 ),
introduced(tautology,[equality,[$cnf( ~ $equal(j(e20),e11) ),[0],$fot(op1(e15,e15))]]) ).
cnf(refute_0_91,plain,
( j(e20) != op1(e15,e15)
| j(e20) = e11 ),
inference(resolve,[$cnf( $equal(op1(e15,e15),e11) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
( j(e20) = e11
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),op1(e15,e15)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
( j(e20) != e11
| j(e20) != e15
| e11 = e15 ),
introduced(tautology,[equality,[$cnf( $equal(j(e20),e15) ),[0],$fot(e11)]]) ).
cnf(refute_0_94,plain,
( j(e20) != e15
| e11 = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e11) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
( e11 = e15
| j(e20) = e16 ),
inference(resolve,[$cnf( $equal(j(e20),e15) )],[refute_0_82,refute_0_94]) ).
cnf(refute_0_96,plain,
e11 != e15,
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_97,plain,
j(e20) = e16,
inference(resolve,[$cnf( $equal(e11,e15) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
h(op1(e16,e16)) = op2(h(e16),h(e16)),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_99,plain,
op1(e16,e16) = e10,
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_100,plain,
h(op1(e16,e16)) = h(op1(e16,e16)),
introduced(tautology,[refl,[$fot(h(op1(e16,e16)))]]) ).
cnf(refute_0_101,plain,
( h(op1(e16,e16)) != h(op1(e16,e16))
| op1(e16,e16) != e10
| h(op1(e16,e16)) = h(e10) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e16,e16)),h(op1(e16,e16))) ),[1,0],$fot(e10)]]) ).
cnf(refute_0_102,plain,
( op1(e16,e16) != e10
| h(op1(e16,e16)) = h(e10) ),
inference(resolve,[$cnf( $equal(h(op1(e16,e16)),h(op1(e16,e16))) )],[refute_0_100,refute_0_101]) ).
cnf(refute_0_103,plain,
h(op1(e16,e16)) = h(e10),
inference(resolve,[$cnf( $equal(op1(e16,e16),e10) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
( h(op1(e16,e16)) != h(e10)
| h(op1(e16,e16)) != op2(h(e16),h(e16))
| h(e10) = op2(h(e16),h(e16)) ),
introduced(tautology,[equality,[$cnf( $equal(h(op1(e16,e16)),op2(h(e16),h(e16))) ),[0],$fot(h(e10))]]) ).
cnf(refute_0_105,plain,
( h(op1(e16,e16)) != op2(h(e16),h(e16))
| h(e10) = op2(h(e16),h(e16)) ),
inference(resolve,[$cnf( $equal(h(op1(e16,e16)),h(e10)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
h(e10) = op2(h(e16),h(e16)),
inference(resolve,[$cnf( $equal(h(op1(e16,e16)),op2(h(e16),h(e16))) )],[refute_0_98,refute_0_105]) ).
cnf(refute_0_107,plain,
h(j(e20)) = e20,
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_108,plain,
h(j(e20)) = h(j(e20)),
introduced(tautology,[refl,[$fot(h(j(e20)))]]) ).
cnf(refute_0_109,plain,
( h(j(e20)) != h(j(e20))
| j(e20) != e16
| h(j(e20)) = h(e16) ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e20)),h(j(e20))) ),[1,0],$fot(e16)]]) ).
cnf(refute_0_110,plain,
( j(e20) != e16
| h(j(e20)) = h(e16) ),
inference(resolve,[$cnf( $equal(h(j(e20)),h(j(e20))) )],[refute_0_108,refute_0_109]) ).
cnf(refute_0_111,plain,
h(j(e20)) = h(e16),
inference(resolve,[$cnf( $equal(j(e20),e16) )],[refute_0_97,refute_0_110]) ).
cnf(refute_0_112,plain,
( h(j(e20)) != e20
| h(j(e20)) != h(e16)
| h(e16) = e20 ),
introduced(tautology,[equality,[$cnf( $equal(h(j(e20)),e20) ),[0],$fot(h(e16))]]) ).
cnf(refute_0_113,plain,
( h(j(e20)) != e20
| h(e16) = e20 ),
inference(resolve,[$cnf( $equal(h(j(e20)),h(e16)) )],[refute_0_111,refute_0_112]) ).
cnf(refute_0_114,plain,
h(e16) = e20,
inference(resolve,[$cnf( $equal(h(j(e20)),e20) )],[refute_0_107,refute_0_113]) ).
cnf(refute_0_115,plain,
op2(e20,h(e16)) = op2(e20,h(e16)),
introduced(tautology,[refl,[$fot(op2(e20,h(e16)))]]) ).
cnf(refute_0_116,plain,
( h(e16) != e20
| op2(e20,h(e16)) != op2(e20,h(e16))
| op2(e20,h(e16)) = op2(e20,e20) ),
introduced(tautology,[equality,[$cnf( $equal(op2(e20,h(e16)),op2(e20,h(e16))) ),[1,1],$fot(e20)]]) ).
cnf(refute_0_117,plain,
( h(e16) != e20
| op2(e20,h(e16)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(e20,h(e16)),op2(e20,h(e16))) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
op2(e20,h(e16)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(h(e16),e20) )],[refute_0_114,refute_0_117]) ).
cnf(refute_0_119,plain,
op2(h(e16),h(e16)) = op2(h(e16),h(e16)),
introduced(tautology,[refl,[$fot(op2(h(e16),h(e16)))]]) ).
cnf(refute_0_120,plain,
( h(e16) != e20
| op2(h(e16),h(e16)) != op2(h(e16),h(e16))
| op2(h(e16),h(e16)) = op2(e20,h(e16)) ),
introduced(tautology,[equality,[$cnf( $equal(op2(h(e16),h(e16)),op2(h(e16),h(e16))) ),[1,0],$fot(e20)]]) ).
cnf(refute_0_121,plain,
( h(e16) != e20
| op2(h(e16),h(e16)) = op2(e20,h(e16)) ),
inference(resolve,[$cnf( $equal(op2(h(e16),h(e16)),op2(h(e16),h(e16))) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
op2(h(e16),h(e16)) = op2(e20,h(e16)),
inference(resolve,[$cnf( $equal(h(e16),e20) )],[refute_0_114,refute_0_121]) ).
cnf(refute_0_123,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_124,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_125,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
( Y != X
| Y != Z
| X = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y,Z) ),[0],$fot(X)]]) ).
cnf(refute_0_127,plain,
( X != Y
| Y != Z
| X = Z ),
inference(resolve,[$cnf( $equal(Y,X) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
( op2(e20,h(e16)) != op2(e20,e20)
| op2(h(e16),h(e16)) != op2(e20,h(e16))
| op2(h(e16),h(e16)) = op2(e20,e20) ),
inference(subst,[],[refute_0_127:[bind(X,$fot(op2(h(e16),h(e16)))),bind(Y,$fot(op2(e20,h(e16)))),bind(Z,$fot(op2(e20,e20)))]]) ).
cnf(refute_0_129,plain,
( op2(e20,h(e16)) != op2(e20,e20)
| op2(h(e16),h(e16)) = op2(e20,e20) ),
inference(resolve,[$cnf( $equal(op2(h(e16),h(e16)),op2(e20,h(e16))) )],[refute_0_122,refute_0_128]) ).
cnf(refute_0_130,plain,
op2(h(e16),h(e16)) = op2(e20,e20),
inference(resolve,[$cnf( $equal(op2(e20,h(e16)),op2(e20,e20)) )],[refute_0_118,refute_0_129]) ).
cnf(refute_0_131,plain,
( op2(e20,e20) != e20
| op2(h(e16),h(e16)) != op2(e20,e20)
| op2(h(e16),h(e16)) = e20 ),
inference(subst,[],[refute_0_127:[bind(X,$fot(op2(h(e16),h(e16)))),bind(Y,$fot(op2(e20,e20))),bind(Z,$fot(e20))]]) ).
cnf(refute_0_132,plain,
( op2(e20,e20) != e20
| op2(h(e16),h(e16)) = e20 ),
inference(resolve,[$cnf( $equal(op2(h(e16),h(e16)),op2(e20,e20)) )],[refute_0_130,refute_0_131]) ).
cnf(refute_0_133,plain,
op2(h(e16),h(e16)) = e20,
inference(resolve,[$cnf( $equal(op2(e20,e20),e20) )],[refute_0_6,refute_0_132]) ).
cnf(refute_0_134,plain,
( h(e10) != op2(h(e16),h(e16))
| op2(h(e16),h(e16)) != e20
| h(e10) = e20 ),
introduced(tautology,[equality,[$cnf( ~ $equal(h(e10),e20) ),[0],$fot(op2(h(e16),h(e16)))]]) ).
cnf(refute_0_135,plain,
( h(e10) != op2(h(e16),h(e16))
| h(e10) = e20 ),
inference(resolve,[$cnf( $equal(op2(h(e16),h(e16)),e20) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
h(e10) = e20,
inference(resolve,[$cnf( $equal(h(e10),op2(h(e16),h(e16))) )],[refute_0_106,refute_0_135]) ).
cnf(refute_0_137,plain,
j(h(e10)) = j(h(e10)),
introduced(tautology,[refl,[$fot(j(h(e10)))]]) ).
cnf(refute_0_138,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_139,plain,
( h(e10) != e20
| j(h(e10)) = j(e20) ),
inference(resolve,[$cnf( $equal(j(h(e10)),j(h(e10))) )],[refute_0_137,refute_0_138]) ).
cnf(refute_0_140,plain,
j(h(e10)) = j(e20),
inference(resolve,[$cnf( $equal(h(e10),e20) )],[refute_0_136,refute_0_139]) ).
cnf(refute_0_141,plain,
( j(e20) != e16
| j(h(e10)) != j(e20)
| j(h(e10)) = e16 ),
inference(subst,[],[refute_0_127:[bind(X,$fot(j(h(e10)))),bind(Y,$fot(j(e20))),bind(Z,$fot(e16))]]) ).
cnf(refute_0_142,plain,
( j(e20) != e16
| j(h(e10)) = e16 ),
inference(resolve,[$cnf( $equal(j(h(e10)),j(e20)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
j(h(e10)) = e16,
inference(resolve,[$cnf( $equal(j(e20),e16) )],[refute_0_97,refute_0_142]) ).
cnf(refute_0_144,plain,
( j(h(e10)) != e10
| j(h(e10)) != e16
| e16 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(j(h(e10)),e10) ),[0],$fot(e16)]]) ).
cnf(refute_0_145,plain,
( j(h(e10)) != e10
| e16 = e10 ),
inference(resolve,[$cnf( $equal(j(h(e10)),e16) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
e16 = e10,
inference(resolve,[$cnf( $equal(j(h(e10)),e10) )],[refute_0_4,refute_0_145]) ).
cnf(refute_0_147,plain,
( e16 != e10
| op1(e11,e11) != e16
| op1(e11,e11) = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e11),e16) ),[1],$fot(e10)]]) ).
cnf(refute_0_148,plain,
( op1(e11,e11) != e16
| op1(e11,e11) = e10 ),
inference(resolve,[$cnf( $equal(e16,e10) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
op1(e11,e11) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),e16) )],[refute_0_3,refute_0_148]) ).
cnf(refute_0_150,plain,
op1(e10,e15) = e12,
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_151,plain,
op1(e10,e13) = e11,
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_152,plain,
op1(e10,e16) = e15,
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_153,plain,
op1(e10,e16) = op1(e10,e16),
introduced(tautology,[refl,[$fot(op1(e10,e16))]]) ).
cnf(refute_0_154,plain,
( e16 != e10
| op1(e10,e16) != op1(e10,e16)
| op1(e10,e16) = op1(e10,e10) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e16),op1(e10,e16)) ),[1,1],$fot(e10)]]) ).
cnf(refute_0_155,plain,
( e16 != e10
| op1(e10,e16) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e16),op1(e10,e16)) )],[refute_0_153,refute_0_154]) ).
cnf(refute_0_156,plain,
op1(e10,e16) = op1(e10,e10),
inference(resolve,[$cnf( $equal(e16,e10) )],[refute_0_146,refute_0_155]) ).
cnf(refute_0_157,plain,
( op1(e10,e10) != e13
| op1(e10,e16) != op1(e10,e10)
| op1(e10,e16) = e13 ),
inference(subst,[],[refute_0_127:[bind(X,$fot(op1(e10,e16))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e13))]]) ).
cnf(refute_0_158,plain,
( op1(e10,e10) != e13
| op1(e10,e16) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e16),op1(e10,e10)) )],[refute_0_156,refute_0_157]) ).
cnf(refute_0_159,plain,
op1(e10,e16) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_1,refute_0_158]) ).
cnf(refute_0_160,plain,
( op1(e10,e16) != e13
| op1(e10,e16) != e15
| e13 = e15 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e16),e15) ),[0],$fot(e13)]]) ).
cnf(refute_0_161,plain,
( op1(e10,e16) != e15
| e13 = e15 ),
inference(resolve,[$cnf( $equal(op1(e10,e16),e13) )],[refute_0_159,refute_0_160]) ).
cnf(refute_0_162,plain,
e13 = e15,
inference(resolve,[$cnf( $equal(op1(e10,e16),e15) )],[refute_0_152,refute_0_161]) ).
cnf(refute_0_163,plain,
( e13 != e15
| e15 = e13 ),
inference(subst,[],[refute_0_125:[bind(X,$fot(e13)),bind(Y,$fot(e15))]]) ).
cnf(refute_0_164,plain,
e15 = e13,
inference(resolve,[$cnf( $equal(e13,e15) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
op1(e10,e15) = op1(e10,e15),
introduced(tautology,[refl,[$fot(op1(e10,e15))]]) ).
cnf(refute_0_166,plain,
( e15 != e13
| op1(e10,e15) != op1(e10,e15)
| op1(e10,e15) = op1(e10,e13) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e15),op1(e10,e15)) ),[1,1],$fot(e13)]]) ).
cnf(refute_0_167,plain,
( e15 != e13
| op1(e10,e15) = op1(e10,e13) ),
inference(resolve,[$cnf( $equal(op1(e10,e15),op1(e10,e15)) )],[refute_0_165,refute_0_166]) ).
cnf(refute_0_168,plain,
op1(e10,e15) = op1(e10,e13),
inference(resolve,[$cnf( $equal(e15,e13) )],[refute_0_164,refute_0_167]) ).
cnf(refute_0_169,plain,
( op1(e10,e13) != e11
| op1(e10,e15) != op1(e10,e13)
| op1(e10,e15) = e11 ),
inference(subst,[],[refute_0_127:[bind(X,$fot(op1(e10,e15))),bind(Y,$fot(op1(e10,e13))),bind(Z,$fot(e11))]]) ).
cnf(refute_0_170,plain,
( op1(e10,e13) != e11
| op1(e10,e15) = e11 ),
inference(resolve,[$cnf( $equal(op1(e10,e15),op1(e10,e13)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
op1(e10,e15) = e11,
inference(resolve,[$cnf( $equal(op1(e10,e13),e11) )],[refute_0_151,refute_0_170]) ).
cnf(refute_0_172,plain,
( op1(e10,e15) != e11
| op1(e10,e15) != e12
| e11 = e12 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e15),e12) ),[0],$fot(e11)]]) ).
cnf(refute_0_173,plain,
( op1(e10,e15) != e12
| e11 = e12 ),
inference(resolve,[$cnf( $equal(op1(e10,e15),e11) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
e11 = e12,
inference(resolve,[$cnf( $equal(op1(e10,e15),e12) )],[refute_0_150,refute_0_173]) ).
cnf(refute_0_175,plain,
( e11 != e12
| e12 = e11 ),
inference(subst,[],[refute_0_125:[bind(X,$fot(e11)),bind(Y,$fot(e12))]]) ).
cnf(refute_0_176,plain,
e12 = e11,
inference(resolve,[$cnf( $equal(e11,e12) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
op1(e11,e12) = op1(e11,e12),
introduced(tautology,[refl,[$fot(op1(e11,e12))]]) ).
cnf(refute_0_178,plain,
( e12 != e11
| op1(e11,e12) != op1(e11,e12)
| op1(e11,e12) = op1(e11,e11) ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),op1(e11,e12)) ),[1,1],$fot(e11)]]) ).
cnf(refute_0_179,plain,
( e12 != e11
| op1(e11,e12) = op1(e11,e11) ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e12)) )],[refute_0_177,refute_0_178]) ).
cnf(refute_0_180,plain,
op1(e11,e12) = op1(e11,e11),
inference(resolve,[$cnf( $equal(e12,e11) )],[refute_0_176,refute_0_179]) ).
cnf(refute_0_181,plain,
( op1(e11,e11) != e10
| op1(e11,e12) != op1(e11,e11)
| op1(e11,e12) = e10 ),
inference(subst,[],[refute_0_127:[bind(X,$fot(op1(e11,e12))),bind(Y,$fot(op1(e11,e11))),bind(Z,$fot(e10))]]) ).
cnf(refute_0_182,plain,
( op1(e11,e11) != e10
| op1(e11,e12) = e10 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),op1(e11,e11)) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
op1(e11,e12) = e10,
inference(resolve,[$cnf( $equal(op1(e11,e11),e10) )],[refute_0_149,refute_0_182]) ).
cnf(refute_0_184,plain,
( op1(e11,e12) != e10
| op1(e11,e12) != e11
| e10 = e11 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e11,e12),e11) ),[0],$fot(e10)]]) ).
cnf(refute_0_185,plain,
( op1(e11,e12) != e11
| e10 = e11 ),
inference(resolve,[$cnf( $equal(op1(e11,e12),e10) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
e10 = e11,
inference(resolve,[$cnf( $equal(op1(e11,e12),e11) )],[refute_0_2,refute_0_185]) ).
cnf(refute_0_187,plain,
( e10 != e11
| e11 = e10 ),
inference(subst,[],[refute_0_125:[bind(X,$fot(e10)),bind(Y,$fot(e11))]]) ).
cnf(refute_0_188,plain,
e11 = e10,
inference(resolve,[$cnf( $equal(e10,e11) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
op1(e10,e11) = op1(e10,e11),
introduced(tautology,[refl,[$fot(op1(e10,e11))]]) ).
cnf(refute_0_190,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_191,plain,
( e11 != e10
| op1(e10,e11) = op1(e10,e10) ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e11)) )],[refute_0_189,refute_0_190]) ).
cnf(refute_0_192,plain,
op1(e10,e11) = op1(e10,e10),
inference(resolve,[$cnf( $equal(e11,e10) )],[refute_0_188,refute_0_191]) ).
cnf(refute_0_193,plain,
( op1(e10,e10) != e13
| op1(e10,e11) != op1(e10,e10)
| op1(e10,e11) = e13 ),
inference(subst,[],[refute_0_127:[bind(X,$fot(op1(e10,e11))),bind(Y,$fot(op1(e10,e10))),bind(Z,$fot(e13))]]) ).
cnf(refute_0_194,plain,
( op1(e10,e10) != e13
| op1(e10,e11) = e13 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),op1(e10,e10)) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
op1(e10,e11) = e13,
inference(resolve,[$cnf( $equal(op1(e10,e10),e13) )],[refute_0_1,refute_0_194]) ).
cnf(refute_0_196,plain,
( op1(e10,e11) != e10
| op1(e10,e11) != e13
| e13 = e10 ),
introduced(tautology,[equality,[$cnf( $equal(op1(e10,e11),e10) ),[0],$fot(e13)]]) ).
cnf(refute_0_197,plain,
( op1(e10,e11) != e10
| e13 = e10 ),
inference(resolve,[$cnf( $equal(op1(e10,e11),e13) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
e13 = e10,
inference(resolve,[$cnf( $equal(op1(e10,e11),e10) )],[refute_0_0,refute_0_197]) ).
cnf(refute_0_199,plain,
e10 != e13,
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_200,plain,
( e13 != e10
| e10 = e13 ),
inference(subst,[],[refute_0_125:[bind(X,$fot(e13)),bind(Y,$fot(e10))]]) ).
cnf(refute_0_201,plain,
e13 != e10,
inference(resolve,[$cnf( $equal(e10,e13) )],[refute_0_200,refute_0_199]) ).
cnf(refute_0_202,plain,
$false,
inference(resolve,[$cnf( $equal(e13,e10) )],[refute_0_198,refute_0_201]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : ALG204+1 : TPTP v8.1.0. Released v2.7.0.
% 0.05/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Thu Jun 9 06:08:22 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.29 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 10.67/10.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.67/10.85
% 10.67/10.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.67/10.88
%------------------------------------------------------------------------------