TSTP Solution File: ALG185+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG185+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Sat Dec 25 04:14:07 EST 2010
% Result : Theorem 1.40s
% Output : CNFRefutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 138
% Number of leaves : 6
% Syntax : Number of formulae : 322 ( 91 unt; 0 def)
% Number of atoms : 1717 (1686 equ)
% Maximal formula atoms : 110 ( 5 avg)
% Number of connectives : 1450 ( 55 ~;1043 |; 348 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e20 != e24
& e21 != e22
& e21 != e23
& e21 != e24
& e22 != e23
& e22 != e24
& e23 != e24 ),
file('/tmp/tmp2bK3vB/sel_ALG185+1.p_1',ax2) ).
fof(3,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e10 != e14
& e11 != e12
& e11 != e13
& e11 != e14
& e12 != e13
& e12 != e14
& e13 != e14 ),
file('/tmp/tmp2bK3vB/sel_ALG185+1.p_1',ax1) ).
fof(4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e13
& op1(e10,e12) = e14
& op1(e10,e13) = e11
& op1(e10,e14) = e12
& op1(e11,e10) = e14
& op1(e11,e11) = e11
& op1(e11,e12) = e13
& op1(e11,e13) = e12
& op1(e11,e14) = e10
& op1(e12,e10) = e11
& op1(e12,e11) = e10
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e13
& op1(e13,e10) = e12
& op1(e13,e11) = e14
& op1(e13,e12) = e10
& op1(e13,e13) = e13
& op1(e13,e14) = e11
& op1(e14,e10) = e13
& op1(e14,e11) = e12
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e14 ),
file('/tmp/tmp2bK3vB/sel_ALG185+1.p_1',ax4) ).
fof(5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e23
& op2(e20,e22) = e24
& op2(e20,e23) = e22
& op2(e20,e24) = e21
& op2(e21,e20) = e22
& op2(e21,e21) = e21
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e21
& op2(e22,e21) = e24
& op2(e22,e22) = e22
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e24
& op2(e23,e21) = e20
& op2(e23,e22) = e21
& op2(e23,e23) = e23
& op2(e23,e24) = e22
& op2(e24,e20) = e23
& op2(e24,e21) = e22
& op2(e24,e22) = e20
& op2(e24,e23) = e21
& op2(e24,e24) = e24 ),
file('/tmp/tmp2bK3vB/sel_ALG185+1.p_1',ax5) ).
fof(6,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 ) ),
file('/tmp/tmp2bK3vB/sel_ALG185+1.p_1',co1) ).
fof(7,negated_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 ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(8,plain,
( epred1_0
=> ( ( 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 ) ) ),
introduced(definition) ).
fof(9,negated_conjecture,
~ ( epred1_0
=> ~ ( 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(apply_def,[status(esa)],[7,8,theory(equality)]) ).
cnf(13,plain,
e21 != e24,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(17,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(19,plain,
e20 != e21,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(45,plain,
e13 != e14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(46,plain,
e12 != e14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(47,plain,
e12 != e13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(48,plain,
e11 != e14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(49,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(51,plain,
e10 != e14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(52,plain,
e10 != e13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(53,plain,
e10 != e12,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(54,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(56,plain,
op1(e14,e13) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(57,plain,
op1(e14,e12) = e11,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(58,plain,
op1(e14,e11) = e12,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(59,plain,
op1(e14,e10) = e13,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(60,plain,
op1(e13,e14) = e11,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(62,plain,
op1(e13,e12) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(63,plain,
op1(e13,e11) = e14,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(64,plain,
op1(e13,e10) = e12,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(65,plain,
op1(e12,e14) = e13,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(66,plain,
op1(e12,e13) = e14,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(68,plain,
op1(e12,e11) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(69,plain,
op1(e12,e10) = e11,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(70,plain,
op1(e11,e14) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(72,plain,
op1(e11,e12) = e13,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(74,plain,
op1(e11,e10) = e14,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(75,plain,
op1(e10,e14) = e12,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(76,plain,
op1(e10,e13) = e11,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(77,plain,
op1(e10,e12) = e14,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(78,plain,
op1(e10,e11) = e13,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(84,plain,
op2(e24,e20) = e23,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(89,plain,
op2(e23,e20) = e24,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(94,plain,
op2(e22,e20) = e21,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(99,plain,
op2(e21,e20) = e22,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(100,plain,
op2(e20,e24) = e21,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(101,plain,
op2(e20,e23) = e22,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(102,plain,
op2(e20,e22) = e24,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(103,plain,
op2(e20,e21) = e23,
inference(split_conjunct,[status(thm)],[5]) ).
fof(105,negated_conjecture,
( epred1_0
& 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(fof_nnf,[status(thm)],[9]) ).
cnf(106,negated_conjecture,
j(h(e14)) = e14,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(108,negated_conjecture,
j(h(e12)) = e12,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(109,negated_conjecture,
j(h(e11)) = e11,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(110,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(111,negated_conjecture,
h(j(e24)) = e24,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(112,negated_conjecture,
h(j(e23)) = e23,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(114,negated_conjecture,
h(j(e21)) = e21,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(115,negated_conjecture,
h(j(e20)) = e20,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(120,negated_conjecture,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(125,negated_conjecture,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(130,negated_conjecture,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(135,negated_conjecture,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(136,negated_conjecture,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(137,negated_conjecture,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(138,negated_conjecture,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(139,negated_conjecture,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(145,negated_conjecture,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(150,negated_conjecture,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(161,negated_conjecture,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(166,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[105]) ).
fof(167,plain,
( ~ epred1_0
| ( ( 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(fof_nnf,[status(thm)],[8]) ).
fof(168,plain,
( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| ~ epred1_0 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| ~ epred1_0 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| ~ epred1_0 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| ~ epred1_0 )
& ( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| ~ epred1_0 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| ~ epred1_0 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| ~ epred1_0 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| j(e22) = e14
| ~ epred1_0 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| ~ epred1_0 )
& ( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[167]) ).
cnf(170,plain,
( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(172,plain,
( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(173,plain,
( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(174,plain,
( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(176,plain,
( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(177,plain,
( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(178,plain,
( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[168]) ).
cnf(180,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24
| $false ),
inference(rw,[status(thm)],[178,166,theory(equality)]) ).
cnf(181,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| h(e10) = e24 ),
inference(cn,[status(thm)],[180,theory(equality)]) ).
cnf(186,plain,
( j(e24) = e10
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(spm,[status(thm)],[110,181,theory(equality)]) ).
cnf(187,negated_conjecture,
op1(j(e20),j(e21)) = j(e23),
inference(rw,[status(thm)],[139,103,theory(equality)]) ).
cnf(188,negated_conjecture,
op1(j(e20),j(e22)) = j(e24),
inference(rw,[status(thm)],[138,102,theory(equality)]) ).
cnf(189,negated_conjecture,
op1(j(e20),j(e23)) = j(e22),
inference(rw,[status(thm)],[137,101,theory(equality)]) ).
cnf(190,negated_conjecture,
op1(j(e20),j(e24)) = j(e21),
inference(rw,[status(thm)],[136,100,theory(equality)]) ).
cnf(191,negated_conjecture,
op1(j(e21),j(e20)) = j(e22),
inference(rw,[status(thm)],[135,99,theory(equality)]) ).
cnf(195,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24
| $false ),
inference(rw,[status(thm)],[177,166,theory(equality)]) ).
cnf(196,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| h(e11) = e24 ),
inference(cn,[status(thm)],[195,theory(equality)]) ).
cnf(201,plain,
( j(e24) = e11
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(spm,[status(thm)],[109,196,theory(equality)]) ).
cnf(203,negated_conjecture,
op1(j(e22),j(e20)) = j(e21),
inference(rw,[status(thm)],[130,94,theory(equality)]) ).
cnf(208,negated_conjecture,
op1(j(e23),j(e20)) = j(e24),
inference(rw,[status(thm)],[125,89,theory(equality)]) ).
cnf(210,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24
| $false ),
inference(rw,[status(thm)],[176,166,theory(equality)]) ).
cnf(211,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| h(e12) = e24 ),
inference(cn,[status(thm)],[210,theory(equality)]) ).
cnf(216,plain,
( j(e24) = e12
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(spm,[status(thm)],[108,211,theory(equality)]) ).
cnf(220,negated_conjecture,
op1(j(e24),j(e20)) = j(e23),
inference(rw,[status(thm)],[120,84,theory(equality)]) ).
cnf(244,negated_conjecture,
op2(h(e10),h(e14)) = h(e12),
inference(rw,[status(thm)],[161,75,theory(equality)]) ).
cnf(255,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24
| $false ),
inference(rw,[status(thm)],[174,166,theory(equality)]) ).
cnf(256,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 ),
inference(cn,[status(thm)],[255,theory(equality)]) ).
cnf(261,plain,
( j(e24) = e14
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(spm,[status(thm)],[106,256,theory(equality)]) ).
cnf(284,negated_conjecture,
op2(h(e13),h(e10)) = h(e12),
inference(rw,[status(thm)],[150,64,theory(equality)]) ).
cnf(287,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14
| $false ),
inference(rw,[status(thm)],[173,166,theory(equality)]) ).
cnf(288,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e20) = e14 ),
inference(cn,[status(thm)],[287,theory(equality)]) ).
cnf(293,plain,
( h(e14) = e20
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[115,288,theory(equality)]) ).
cnf(295,plain,
( op1(e14,j(e21)) = j(e23)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[187,288,theory(equality)]) ).
cnf(297,plain,
( op1(e14,j(e23)) = j(e22)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[189,288,theory(equality)]) ).
cnf(299,plain,
( op1(j(e21),e14) = j(e22)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[191,288,theory(equality)]) ).
cnf(300,plain,
( op1(j(e22),e14) = j(e21)
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[203,288,theory(equality)]) ).
cnf(316,negated_conjecture,
op2(h(e14),h(e10)) = h(e13),
inference(rw,[status(thm)],[145,59,theory(equality)]) ).
cnf(328,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14
| $false ),
inference(rw,[status(thm)],[172,166,theory(equality)]) ).
cnf(329,plain,
( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| j(e21) = e14 ),
inference(cn,[status(thm)],[328,theory(equality)]) ).
cnf(334,plain,
( h(e14) = e21
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(spm,[status(thm)],[114,329,theory(equality)]) ).
cnf(365,plain,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14
| $false ),
inference(rw,[status(thm)],[170,166,theory(equality)]) ).
cnf(366,plain,
( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| j(e23) = e14 ),
inference(cn,[status(thm)],[365,theory(equality)]) ).
cnf(371,plain,
( h(e14) = e23
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(spm,[status(thm)],[112,366,theory(equality)]) ).
cnf(372,plain,
( op1(j(e20),e14) = j(e22)
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(spm,[status(thm)],[189,366,theory(equality)]) ).
cnf(402,plain,
( j(e23) = e10
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| j(e24) = e10 ),
inference(spm,[status(thm)],[110,186,theory(equality)]) ).
cnf(416,plain,
( j(e23) = e11
| h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| j(e24) = e11 ),
inference(spm,[status(thm)],[109,201,theory(equality)]) ).
cnf(430,plain,
( j(e23) = e12
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| j(e24) = e12 ),
inference(spm,[status(thm)],[108,216,theory(equality)]) ).
cnf(470,plain,
( j(e23) = e14
| h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| j(e24) = e14 ),
inference(spm,[status(thm)],[106,261,theory(equality)]) ).
cnf(502,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| e21 = e20
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference(spm,[status(thm)],[293,334,theory(equality)]) ).
cnf(504,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 ),
inference(sr,[status(thm)],[502,19,theory(equality)]) ).
cnf(530,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| e23 = e20
| j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ),
inference(spm,[status(thm)],[293,371,theory(equality)]) ).
cnf(534,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ),
inference(sr,[status(thm)],[530,17,theory(equality)]) ).
cnf(624,plain,
( j(e22) = e10
| j(e24) = e10
| h(e10) = e21
| h(e10) = e20
| j(e23) = e10 ),
inference(spm,[status(thm)],[110,402,theory(equality)]) ).
cnf(701,plain,
( j(e22) = e11
| j(e24) = e11
| h(e11) = e21
| h(e11) = e20
| j(e23) = e11 ),
inference(spm,[status(thm)],[109,416,theory(equality)]) ).
cnf(752,plain,
( j(e22) = e12
| j(e24) = e12
| h(e12) = e21
| h(e12) = e20
| j(e23) = e12 ),
inference(spm,[status(thm)],[108,430,theory(equality)]) ).
cnf(796,plain,
( j(e22) = e14
| j(e24) = e14
| h(e14) = e21
| h(e14) = e20
| j(e23) = e14 ),
inference(spm,[status(thm)],[106,470,theory(equality)]) ).
cnf(842,plain,
( j(e21) = e10
| j(e23) = e10
| h(e10) = e20
| j(e24) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[110,624,theory(equality)]) ).
cnf(869,plain,
( j(e21) = e11
| j(e23) = e11
| h(e11) = e20
| j(e24) = e11
| j(e22) = e11 ),
inference(spm,[status(thm)],[109,701,theory(equality)]) ).
cnf(885,plain,
( j(e21) = e12
| j(e23) = e12
| h(e12) = e20
| j(e24) = e12
| j(e22) = e12 ),
inference(spm,[status(thm)],[108,752,theory(equality)]) ).
cnf(924,plain,
( j(e21) = e14
| j(e23) = e14
| h(e14) = e20
| j(e24) = e14
| j(e22) = e14 ),
inference(spm,[status(thm)],[106,796,theory(equality)]) ).
cnf(968,plain,
( j(e20) = e10
| j(e22) = e10
| j(e24) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[110,842,theory(equality)]) ).
cnf(989,plain,
( j(e20) = e11
| j(e22) = e11
| j(e24) = e11
| j(e23) = e11
| j(e21) = e11 ),
inference(spm,[status(thm)],[109,869,theory(equality)]) ).
cnf(1006,plain,
( j(e20) = e12
| j(e22) = e12
| j(e24) = e12
| j(e23) = e12
| j(e21) = e12 ),
inference(spm,[status(thm)],[108,885,theory(equality)]) ).
cnf(1045,plain,
( j(e20) = e14
| j(e22) = e14
| j(e24) = e14
| j(e23) = e14
| j(e21) = e14 ),
inference(spm,[status(thm)],[106,924,theory(equality)]) ).
cnf(1146,plain,
( h(e14) = e24
| j(e21) = e14
| j(e23) = e14
| j(e22) = e14
| j(e20) = e14 ),
inference(spm,[status(thm)],[111,1045,theory(equality)]) ).
cnf(1746,plain,
( op1(e14,e13) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(spm,[status(thm)],[297,534,theory(equality)]) ).
cnf(1758,plain,
( e10 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 ),
inference(rw,[status(thm)],[1746,56,theory(equality)]) ).
cnf(1899,plain,
( op1(e13,e14) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(spm,[status(thm)],[299,504,theory(equality)]) ).
cnf(1901,plain,
( e11 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 ),
inference(rw,[status(thm)],[1899,60,theory(equality)]) ).
cnf(4452,plain,
( op1(e11,e14) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12 ),
inference(spm,[status(thm)],[300,1901,theory(equality)]) ).
cnf(4461,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10
| j(e21) = e11
| j(e21) = e12 ),
inference(rw,[status(thm)],[4452,70,theory(equality)]) ).
cnf(4462,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e11
| j(e21) = e12 ),
inference(cn,[status(thm)],[4461,theory(equality)]) ).
cnf(4657,plain,
( op1(e12,e14) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e11
| j(e21) = e10 ),
inference(spm,[status(thm)],[299,4462,theory(equality)]) ).
cnf(4666,plain,
( e13 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e11
| j(e21) = e10 ),
inference(rw,[status(thm)],[4657,65,theory(equality)]) ).
cnf(4952,plain,
( op1(e13,e14) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10
| j(e21) = e11 ),
inference(spm,[status(thm)],[300,4666,theory(equality)]) ).
cnf(4961,plain,
( e11 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10
| j(e21) = e11 ),
inference(rw,[status(thm)],[4952,60,theory(equality)]) ).
cnf(4962,plain,
( e11 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(cn,[status(thm)],[4961,theory(equality)]) ).
cnf(4983,plain,
( op1(e14,e11) = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(spm,[status(thm)],[295,4962,theory(equality)]) ).
cnf(4984,plain,
( op1(e11,e14) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(spm,[status(thm)],[299,4962,theory(equality)]) ).
cnf(4992,plain,
( e12 = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(rw,[status(thm)],[4983,58,theory(equality)]) ).
cnf(4993,plain,
( e10 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(rw,[status(thm)],[4984,70,theory(equality)]) ).
cnf(5064,plain,
( op1(e14,e12) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(spm,[status(thm)],[297,4992,theory(equality)]) ).
cnf(5084,plain,
( e11 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| j(e21) = e10 ),
inference(rw,[status(thm)],[5064,57,theory(equality)]) ).
cnf(5214,plain,
( j(e21) = e10
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| e11 = e10 ),
inference(spm,[status(thm)],[4993,5084,theory(equality)]) ).
cnf(5227,plain,
( j(e21) = e10
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[5214,54,theory(equality)]) ).
cnf(5238,plain,
( op1(e14,e10) = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(spm,[status(thm)],[295,5227,theory(equality)]) ).
cnf(5239,plain,
( op1(e10,e14) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(spm,[status(thm)],[299,5227,theory(equality)]) ).
cnf(5247,plain,
( e13 = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(rw,[status(thm)],[5238,59,theory(equality)]) ).
cnf(5248,plain,
( e12 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(rw,[status(thm)],[5239,75,theory(equality)]) ).
cnf(5328,plain,
( e13 = e10
| e13 = e11
| e13 = e12
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[1758,5247,theory(equality)]) ).
cnf(5352,plain,
( e13 = e11
| e13 = e12
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(sr,[status(thm)],[5328,52,theory(equality)]) ).
cnf(5353,plain,
( e13 = e12
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(sr,[status(thm)],[5352,49,theory(equality)]) ).
cnf(5354,plain,
( j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10 ),
inference(sr,[status(thm)],[5353,47,theory(equality)]) ).
cnf(5402,plain,
( e12 = e10
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(spm,[status(thm)],[5354,5248,theory(equality)]) ).
cnf(5414,plain,
( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 ),
inference(sr,[status(thm)],[5402,53,theory(equality)]) ).
cnf(5498,plain,
( op1(e13,j(e21)) = j(e23)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[187,5414,theory(equality)]) ).
cnf(5499,plain,
( op1(e13,j(e22)) = j(e24)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[188,5414,theory(equality)]) ).
cnf(5500,plain,
( op1(e13,j(e23)) = j(e22)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[189,5414,theory(equality)]) ).
cnf(5501,plain,
( op1(e13,j(e24)) = j(e21)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[190,5414,theory(equality)]) ).
cnf(5502,plain,
( op1(j(e21),e13) = j(e22)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[191,5414,theory(equality)]) ).
cnf(5503,plain,
( op1(j(e22),e13) = j(e21)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[203,5414,theory(equality)]) ).
cnf(5504,plain,
( op1(j(e23),e13) = j(e24)
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[208,5414,theory(equality)]) ).
cnf(5707,plain,
( op1(e13,e10) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[5501,968,theory(equality)]) ).
cnf(5709,plain,
( op1(e13,e12) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e12
| j(e23) = e12
| j(e22) = e12 ),
inference(spm,[status(thm)],[5501,1006,theory(equality)]) ).
cnf(5717,plain,
( e12 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[5707,64,theory(equality)]) ).
cnf(5719,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e12
| j(e23) = e12
| j(e22) = e12 ),
inference(rw,[status(thm)],[5709,62,theory(equality)]) ).
cnf(6096,plain,
( op1(e10,e13) = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e22) = e10
| j(e21) = e10
| j(e21) = e12 ),
inference(spm,[status(thm)],[5504,5717,theory(equality)]) ).
cnf(6119,plain,
( e11 = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e22) = e10
| j(e21) = e10
| j(e21) = e12 ),
inference(rw,[status(thm)],[6096,76,theory(equality)]) ).
cnf(6193,plain,
( j(e22) = e10
| e12 = e10
| j(e21) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e21) = e12
| j(e22) = e12 ),
inference(spm,[status(thm)],[5717,5719,theory(equality)]) ).
cnf(6217,plain,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| j(e21) = e12
| j(e22) = e12 ),
inference(sr,[status(thm)],[6193,53,theory(equality)]) ).
cnf(6332,plain,
( op1(e13,e12) = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e12
| j(e21) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[5499,6217,theory(equality)]) ).
cnf(6342,plain,
( e10 = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e12
| j(e21) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[6332,62,theory(equality)]) ).
cnf(8590,plain,
( j(e21) = e12
| j(e21) = e10
| j(e22) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| e10 = e11 ),
inference(spm,[status(thm)],[6119,6342,theory(equality)]) ).
cnf(8609,plain,
( j(e21) = e12
| j(e21) = e10
| j(e22) = e10
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[8590,54,theory(equality)]) ).
cnf(8628,plain,
( op1(e13,e10) = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10
| j(e21) = e12 ),
inference(spm,[status(thm)],[5499,8609,theory(equality)]) ).
cnf(8639,plain,
( e12 = j(e24)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10
| j(e21) = e12 ),
inference(rw,[status(thm)],[8628,64,theory(equality)]) ).
cnf(8739,plain,
( op1(e13,e12) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e12
| j(e21) = e10 ),
inference(spm,[status(thm)],[5501,8639,theory(equality)]) ).
cnf(8754,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e12
| j(e21) = e10 ),
inference(rw,[status(thm)],[8739,62,theory(equality)]) ).
cnf(8755,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e12 ),
inference(cn,[status(thm)],[8754,theory(equality)]) ).
cnf(8776,plain,
( op1(e12,e13) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10 ),
inference(spm,[status(thm)],[5502,8755,theory(equality)]) ).
cnf(8786,plain,
( e14 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10 ),
inference(rw,[status(thm)],[8776,66,theory(equality)]) ).
cnf(8945,plain,
( op1(e14,e13) = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10 ),
inference(spm,[status(thm)],[5503,8786,theory(equality)]) ).
cnf(8958,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e21) = e10 ),
inference(rw,[status(thm)],[8945,56,theory(equality)]) ).
cnf(8959,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(cn,[status(thm)],[8958,theory(equality)]) ).
cnf(8976,plain,
( op1(e13,e10) = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[5498,8959,theory(equality)]) ).
cnf(8977,plain,
( op1(e10,e13) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[5502,8959,theory(equality)]) ).
cnf(8986,plain,
( e12 = j(e23)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(rw,[status(thm)],[8976,64,theory(equality)]) ).
cnf(8987,plain,
( e11 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(rw,[status(thm)],[8977,76,theory(equality)]) ).
cnf(9081,plain,
( op1(e13,e12) = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(spm,[status(thm)],[5500,8986,theory(equality)]) ).
cnf(9104,plain,
( e10 = j(e22)
| j(e20) = e10
| j(e20) = e11
| j(e20) = e12 ),
inference(rw,[status(thm)],[9081,62,theory(equality)]) ).
cnf(9345,plain,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10
| e10 = e11 ),
inference(spm,[status(thm)],[8987,9104,theory(equality)]) ).
cnf(9356,plain,
( j(e20) = e12
| j(e20) = e11
| j(e20) = e10 ),
inference(sr,[status(thm)],[9345,54,theory(equality)]) ).
cnf(9361,plain,
( op1(e12,j(e21)) = j(e23)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[187,9356,theory(equality)]) ).
cnf(9362,plain,
( op1(e12,j(e22)) = j(e24)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[188,9356,theory(equality)]) ).
cnf(9363,plain,
( op1(e12,j(e23)) = j(e22)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[189,9356,theory(equality)]) ).
cnf(9364,plain,
( op1(e12,j(e24)) = j(e21)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[190,9356,theory(equality)]) ).
cnf(9365,plain,
( op1(j(e21),e12) = j(e22)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[191,9356,theory(equality)]) ).
cnf(9366,plain,
( op1(j(e22),e12) = j(e21)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[203,9356,theory(equality)]) ).
cnf(9367,plain,
( op1(j(e23),e12) = j(e24)
| j(e20) = e10
| j(e20) = e11 ),
inference(spm,[status(thm)],[208,9356,theory(equality)]) ).
cnf(9522,plain,
( op1(e12,e10) = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[9364,968,theory(equality)]) ).
cnf(9523,plain,
( op1(e12,e11) = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11
| j(e23) = e11
| j(e22) = e11 ),
inference(spm,[status(thm)],[9364,989,theory(equality)]) ).
cnf(9531,plain,
( e11 = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[9522,69,theory(equality)]) ).
cnf(9532,plain,
( e10 = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11
| j(e23) = e11
| j(e22) = e11 ),
inference(rw,[status(thm)],[9523,68,theory(equality)]) ).
cnf(9871,plain,
( op1(e10,e12) = j(e24)
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10
| j(e21) = e11 ),
inference(spm,[status(thm)],[9367,9531,theory(equality)]) ).
cnf(9895,plain,
( e14 = j(e24)
| j(e20) = e11
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10
| j(e21) = e11 ),
inference(rw,[status(thm)],[9871,77,theory(equality)]) ).
cnf(9922,plain,
( j(e22) = e10
| e11 = e10
| j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e21) = e11
| j(e22) = e11 ),
inference(spm,[status(thm)],[9531,9532,theory(equality)]) ).
cnf(9949,plain,
( j(e22) = e10
| j(e21) = e10
| j(e20) = e10
| j(e20) = e11
| j(e21) = e11
| j(e22) = e11 ),
inference(sr,[status(thm)],[9922,54,theory(equality)]) ).
cnf(9967,plain,
( op1(e12,e11) = j(e24)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11
| j(e21) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[9362,9949,theory(equality)]) ).
cnf(9977,plain,
( e10 = j(e24)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11
| j(e21) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[9967,68,theory(equality)]) ).
cnf(11315,plain,
( j(e21) = e11
| j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e20) = e11
| e10 = e14 ),
inference(spm,[status(thm)],[9895,9977,theory(equality)]) ).
cnf(11334,plain,
( j(e21) = e11
| j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[11315,51,theory(equality)]) ).
cnf(11352,plain,
( op1(e12,e10) = j(e24)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10
| j(e21) = e11 ),
inference(spm,[status(thm)],[9362,11334,theory(equality)]) ).
cnf(11361,plain,
( e11 = j(e24)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10
| j(e21) = e11 ),
inference(rw,[status(thm)],[11352,69,theory(equality)]) ).
cnf(11465,plain,
( op1(e12,e11) = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11
| j(e21) = e10 ),
inference(spm,[status(thm)],[9364,11361,theory(equality)]) ).
cnf(11483,plain,
( e10 = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11
| j(e21) = e10 ),
inference(rw,[status(thm)],[11465,68,theory(equality)]) ).
cnf(11484,plain,
( e10 = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e11 ),
inference(cn,[status(thm)],[11483,theory(equality)]) ).
cnf(11506,plain,
( op1(e11,e12) = j(e22)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[9365,11484,theory(equality)]) ).
cnf(11516,plain,
( e13 = j(e22)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[11506,72,theory(equality)]) ).
cnf(11658,plain,
( op1(e13,e12) = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[9366,11516,theory(equality)]) ).
cnf(11670,plain,
( e10 = j(e21)
| j(e20) = e11
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[11658,62,theory(equality)]) ).
cnf(11671,plain,
( e10 = j(e21)
| j(e20) = e11
| j(e20) = e10 ),
inference(cn,[status(thm)],[11670,theory(equality)]) ).
cnf(11688,plain,
( op1(e12,e10) = j(e23)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[9361,11671,theory(equality)]) ).
cnf(11689,plain,
( op1(e10,e12) = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[9365,11671,theory(equality)]) ).
cnf(11697,plain,
( e11 = j(e23)
| j(e20) = e11
| j(e20) = e10 ),
inference(rw,[status(thm)],[11688,69,theory(equality)]) ).
cnf(11698,plain,
( e14 = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(rw,[status(thm)],[11689,77,theory(equality)]) ).
cnf(11802,plain,
( op1(e12,e11) = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(spm,[status(thm)],[9363,11697,theory(equality)]) ).
cnf(11826,plain,
( e10 = j(e22)
| j(e20) = e11
| j(e20) = e10 ),
inference(rw,[status(thm)],[11802,68,theory(equality)]) ).
cnf(12041,plain,
( j(e20) = e10
| j(e20) = e11
| e10 = e14 ),
inference(spm,[status(thm)],[11698,11826,theory(equality)]) ).
cnf(12051,plain,
( j(e20) = e10
| j(e20) = e11 ),
inference(sr,[status(thm)],[12041,51,theory(equality)]) ).
cnf(12055,plain,
( op1(e11,j(e21)) = j(e23)
| j(e20) = e10 ),
inference(spm,[status(thm)],[187,12051,theory(equality)]) ).
cnf(12056,plain,
( op1(e11,j(e22)) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[188,12051,theory(equality)]) ).
cnf(12057,plain,
( op1(e11,j(e23)) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[189,12051,theory(equality)]) ).
cnf(12058,plain,
( op1(e11,j(e24)) = j(e21)
| j(e20) = e10 ),
inference(spm,[status(thm)],[190,12051,theory(equality)]) ).
cnf(12059,plain,
( op1(j(e21),e11) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[191,12051,theory(equality)]) ).
cnf(12061,plain,
( op1(j(e23),e11) = j(e24)
| j(e20) = e10 ),
inference(spm,[status(thm)],[208,12051,theory(equality)]) ).
cnf(12062,plain,
( op1(j(e24),e11) = j(e23)
| j(e20) = e10 ),
inference(spm,[status(thm)],[220,12051,theory(equality)]) ).
cnf(12245,plain,
( op1(e10,e11) = j(e23)
| j(e20) = e10
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[12062,968,theory(equality)]) ).
cnf(12254,plain,
( e13 = j(e23)
| j(e20) = e10
| j(e21) = e10
| j(e23) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[12245,78,theory(equality)]) ).
cnf(12566,plain,
( op1(e13,e11) = j(e24)
| j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[12061,12254,theory(equality)]) ).
cnf(12589,plain,
( e14 = j(e24)
| j(e20) = e10
| j(e22) = e10
| j(e23) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[12566,63,theory(equality)]) ).
cnf(13026,plain,
( j(e21) = e10
| j(e23) = e10
| e14 = e10
| j(e22) = e10
| j(e20) = e10 ),
inference(spm,[status(thm)],[968,12589,theory(equality)]) ).
cnf(13055,plain,
( j(e21) = e10
| j(e23) = e10
| j(e22) = e10
| j(e20) = e10 ),
inference(sr,[status(thm)],[13026,51,theory(equality)]) ).
cnf(13097,plain,
( op1(e11,e10) = j(e22)
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[12057,13055,theory(equality)]) ).
cnf(13098,plain,
( op1(e10,e11) = j(e24)
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[12061,13055,theory(equality)]) ).
cnf(13121,plain,
( e14 = j(e22)
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[13097,74,theory(equality)]) ).
cnf(13122,plain,
( e13 = j(e24)
| j(e20) = e10
| j(e22) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[13098,78,theory(equality)]) ).
cnf(13220,plain,
( op1(e11,e14) = j(e24)
| j(e20) = e10
| j(e21) = e10
| j(e22) = e10 ),
inference(spm,[status(thm)],[12056,13121,theory(equality)]) ).
cnf(13236,plain,
( e10 = j(e24)
| j(e20) = e10
| j(e21) = e10
| j(e22) = e10 ),
inference(rw,[status(thm)],[13220,70,theory(equality)]) ).
cnf(13528,plain,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10
| e10 = e13 ),
inference(spm,[status(thm)],[13122,13236,theory(equality)]) ).
cnf(13547,plain,
( j(e21) = e10
| j(e22) = e10
| j(e20) = e10 ),
inference(sr,[status(thm)],[13528,52,theory(equality)]) ).
cnf(13569,plain,
( op1(e11,e10) = j(e24)
| j(e20) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[12056,13547,theory(equality)]) ).
cnf(13580,plain,
( e14 = j(e24)
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[13569,74,theory(equality)]) ).
cnf(13682,plain,
( op1(e11,e14) = j(e21)
| j(e20) = e10
| j(e21) = e10 ),
inference(spm,[status(thm)],[12058,13580,theory(equality)]) ).
cnf(13711,plain,
( e10 = j(e21)
| j(e20) = e10
| j(e21) = e10 ),
inference(rw,[status(thm)],[13682,70,theory(equality)]) ).
cnf(13712,plain,
( e10 = j(e21)
| j(e20) = e10 ),
inference(cn,[status(thm)],[13711,theory(equality)]) ).
cnf(13733,plain,
( op1(e11,e10) = j(e23)
| j(e20) = e10 ),
inference(spm,[status(thm)],[12055,13712,theory(equality)]) ).
cnf(13734,plain,
( op1(e10,e11) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[12059,13712,theory(equality)]) ).
cnf(13742,plain,
( e14 = j(e23)
| j(e20) = e10 ),
inference(rw,[status(thm)],[13733,74,theory(equality)]) ).
cnf(13743,plain,
( e13 = j(e22)
| j(e20) = e10 ),
inference(rw,[status(thm)],[13734,78,theory(equality)]) ).
cnf(13838,plain,
( op1(e11,e14) = j(e22)
| j(e20) = e10 ),
inference(spm,[status(thm)],[12057,13742,theory(equality)]) ).
cnf(13864,plain,
( e10 = j(e22)
| j(e20) = e10 ),
inference(rw,[status(thm)],[13838,70,theory(equality)]) ).
cnf(14101,plain,
( j(e20) = e10
| e10 = e13 ),
inference(spm,[status(thm)],[13743,13864,theory(equality)]) ).
cnf(14114,plain,
j(e20) = e10,
inference(sr,[status(thm)],[14101,52,theory(equality)]) ).
cnf(14118,negated_conjecture,
op1(j(e23),e10) = j(e24),
inference(rw,[status(thm)],[208,14114,theory(equality)]) ).
cnf(14122,negated_conjecture,
op1(j(e21),e10) = j(e22),
inference(rw,[status(thm)],[191,14114,theory(equality)]) ).
cnf(14123,negated_conjecture,
op1(e10,j(e24)) = j(e21),
inference(rw,[status(thm)],[190,14114,theory(equality)]) ).
cnf(14124,negated_conjecture,
op1(e10,j(e23)) = j(e22),
inference(rw,[status(thm)],[189,14114,theory(equality)]) ).
cnf(14125,negated_conjecture,
op1(e10,j(e22)) = j(e24),
inference(rw,[status(thm)],[188,14114,theory(equality)]) ).
cnf(14126,negated_conjecture,
op1(e10,j(e21)) = j(e23),
inference(rw,[status(thm)],[187,14114,theory(equality)]) ).
cnf(14130,negated_conjecture,
h(e10) = e20,
inference(rw,[status(thm)],[115,14114,theory(equality)]) ).
cnf(14205,plain,
( op1(e10,e14) = j(e22)
| j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ),
inference(rw,[status(thm)],[372,14114,theory(equality)]) ).
cnf(14206,plain,
( e12 = j(e22)
| j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ),
inference(rw,[status(thm)],[14205,75,theory(equality)]) ).
cnf(14243,plain,
( e10 = e14
| j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e14) = e24 ),
inference(rw,[status(thm)],[1146,14114,theory(equality)]) ).
cnf(14244,plain,
( j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| h(e14) = e24 ),
inference(sr,[status(thm)],[14243,51,theory(equality)]) ).
cnf(14260,negated_conjecture,
op2(h(e14),e20) = h(e13),
inference(rw,[status(thm)],[316,14130,theory(equality)]) ).
cnf(14263,negated_conjecture,
op2(h(e13),e20) = h(e12),
inference(rw,[status(thm)],[284,14130,theory(equality)]) ).
cnf(14268,negated_conjecture,
op2(e20,h(e14)) = h(e12),
inference(rw,[status(thm)],[244,14130,theory(equality)]) ).
cnf(14752,plain,
( op2(e24,e20) = h(e13)
| j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(spm,[status(thm)],[14260,14244,theory(equality)]) ).
cnf(14753,plain,
( op2(e20,e24) = h(e12)
| j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(spm,[status(thm)],[14268,14244,theory(equality)]) ).
cnf(14774,plain,
( e23 = h(e13)
| j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(rw,[status(thm)],[14752,84,theory(equality)]) ).
cnf(14775,plain,
( e21 = h(e12)
| j(e21) = e14
| j(e23) = e14
| j(e22) = e14 ),
inference(rw,[status(thm)],[14753,100,theory(equality)]) ).
cnf(15207,plain,
( op2(e23,e20) = h(e12)
| j(e22) = e14
| j(e23) = e14
| j(e21) = e14 ),
inference(spm,[status(thm)],[14263,14774,theory(equality)]) ).
cnf(15232,plain,
( e24 = h(e12)
| j(e22) = e14
| j(e23) = e14
| j(e21) = e14 ),
inference(rw,[status(thm)],[15207,89,theory(equality)]) ).
cnf(16323,plain,
( j(e22) = e14
| j(e23) = e14
| j(e21) = e14
| e24 = e21 ),
inference(spm,[status(thm)],[14775,15232,theory(equality)]) ).
cnf(16354,plain,
( j(e22) = e14
| j(e23) = e14
| j(e21) = e14 ),
inference(sr,[status(thm)],[16323,13,theory(equality)]) ).
cnf(16363,plain,
( op1(e14,e10) = j(e24)
| j(e21) = e14
| j(e22) = e14 ),
inference(spm,[status(thm)],[14118,16354,theory(equality)]) ).
cnf(16376,plain,
( e14 = e13
| e14 = e12
| e14 = e11
| e14 = e10
| j(e22) = e12
| j(e21) = e14
| j(e22) = e14 ),
inference(spm,[status(thm)],[14206,16354,theory(equality)]) ).
cnf(16380,plain,
( e13 = j(e24)
| j(e21) = e14
| j(e22) = e14 ),
inference(rw,[status(thm)],[16363,59,theory(equality)]) ).
cnf(16402,plain,
( e14 = e12
| e14 = e11
| e14 = e10
| j(e22) = e12
| j(e21) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[16376,45,theory(equality)]) ).
cnf(16403,plain,
( e14 = e11
| e14 = e10
| j(e22) = e12
| j(e21) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[16402,46,theory(equality)]) ).
cnf(16404,plain,
( e14 = e10
| j(e22) = e12
| j(e21) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[16403,48,theory(equality)]) ).
cnf(16405,plain,
( j(e22) = e12
| j(e21) = e14
| j(e22) = e14 ),
inference(sr,[status(thm)],[16404,51,theory(equality)]) ).
cnf(16417,plain,
( op1(e10,e14) = j(e24)
| j(e21) = e14
| j(e22) = e12 ),
inference(spm,[status(thm)],[14125,16405,theory(equality)]) ).
cnf(16430,plain,
( e12 = j(e24)
| j(e21) = e14
| j(e22) = e12 ),
inference(rw,[status(thm)],[16417,75,theory(equality)]) ).
cnf(16771,plain,
( op1(e10,e12) = j(e21)
| j(e22) = e12
| j(e21) = e14 ),
inference(spm,[status(thm)],[14123,16430,theory(equality)]) ).
cnf(16783,plain,
( e14 = j(e21)
| j(e22) = e12
| j(e21) = e14 ),
inference(rw,[status(thm)],[16771,77,theory(equality)]) ).
cnf(16784,plain,
( e14 = j(e21)
| j(e22) = e12 ),
inference(cn,[status(thm)],[16783,theory(equality)]) ).
cnf(16801,plain,
( op1(e10,e12) = j(e24)
| j(e21) = e14 ),
inference(spm,[status(thm)],[14125,16784,theory(equality)]) ).
cnf(16811,plain,
( e14 = j(e24)
| j(e21) = e14 ),
inference(rw,[status(thm)],[16801,77,theory(equality)]) ).
cnf(16915,plain,
( j(e22) = e14
| j(e21) = e14
| e14 = e13 ),
inference(spm,[status(thm)],[16380,16811,theory(equality)]) ).
cnf(16937,plain,
( j(e22) = e14
| j(e21) = e14 ),
inference(sr,[status(thm)],[16915,45,theory(equality)]) ).
cnf(17080,plain,
( e14 = e12
| j(e21) = e14 ),
inference(spm,[status(thm)],[16784,16937,theory(equality)]) ).
cnf(17099,plain,
j(e21) = e14,
inference(sr,[status(thm)],[17080,46,theory(equality)]) ).
cnf(17101,negated_conjecture,
op1(e10,e14) = j(e23),
inference(rw,[status(thm)],[14126,17099,theory(equality)]) ).
cnf(17102,negated_conjecture,
e12 = j(e23),
inference(rw,[status(thm)],[17101,75,theory(equality)]) ).
cnf(17104,negated_conjecture,
op1(e14,e10) = j(e22),
inference(rw,[status(thm)],[14122,17099,theory(equality)]) ).
cnf(17105,negated_conjecture,
e13 = j(e22),
inference(rw,[status(thm)],[17104,59,theory(equality)]) ).
cnf(17294,negated_conjecture,
op1(e10,e12) = j(e22),
inference(rw,[status(thm)],[14124,17102,theory(equality)]) ).
cnf(17295,negated_conjecture,
e14 = j(e22),
inference(rw,[status(thm)],[17294,77,theory(equality)]) ).
cnf(17510,negated_conjecture,
e13 = e14,
inference(rw,[status(thm)],[17295,17105,theory(equality)]) ).
cnf(17511,negated_conjecture,
$false,
inference(sr,[status(thm)],[17510,45,theory(equality)]) ).
cnf(17512,negated_conjecture,
$false,
17511,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG185+1.p
% --creating new selector for []
% -running prover on /tmp/tmp2bK3vB/sel_ALG185+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG185+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG185+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG185+1.p
% Solved 1 out of 1.
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% # SZS output start CNFRefutation.
% See solution above
% # SZS output end CNFRefutation
%
%------------------------------------------------------------------------------