%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG180+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 04:13:28 EST 2010
% Result : Theorem 0.28s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 6
% Syntax : Number of formulae : 74 ( 34 unt; 0 def)
% Number of atoms : 718 ( 697 equ)
% Maximal formula atoms : 110 ( 9 avg)
% Number of connectives : 689 ( 45 ~; 292 |; 348 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 7 avg)
% Maximal term depth : 3 ( 2 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/tmp1rc47e/sel_ALG180+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/tmp1rc47e/sel_ALG180+1.p_1',ax1) ).
fof(4,axiom,
( op1(e10,e10) = e13
& op1(e10,e11) = e12
& op1(e10,e12) = e10
& op1(e10,e13) = e11
& op1(e10,e14) = e14
& op1(e11,e10) = e10
& op1(e11,e11) = e14
& op1(e11,e12) = e11
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e11
& op1(e12,e11) = e13
& op1(e12,e12) = e12
& op1(e12,e13) = e14
& op1(e12,e14) = e10
& op1(e13,e10) = e14
& op1(e13,e11) = e11
& op1(e13,e12) = e13
& op1(e13,e13) = e10
& op1(e13,e14) = e12
& op1(e14,e10) = e12
& op1(e14,e11) = e10
& op1(e14,e12) = e14
& op1(e14,e13) = e13
& op1(e14,e14) = e11 ),
file('/tmp/tmp1rc47e/sel_ALG180+1.p_1',ax4) ).
fof(5,axiom,
( op2(e20,e20) = e24
& op2(e20,e21) = e22
& op2(e20,e22) = e20
& op2(e20,e23) = e21
& op2(e20,e24) = e23
& op2(e21,e20) = e20
& op2(e21,e21) = e21
& op2(e21,e22) = e22
& op2(e21,e23) = e23
& op2(e21,e24) = e24
& op2(e22,e20) = e21
& op2(e22,e21) = e24
& op2(e22,e22) = e23
& op2(e22,e23) = e20
& op2(e22,e24) = e22
& op2(e23,e20) = e23
& op2(e23,e21) = e20
& op2(e23,e22) = e24
& op2(e23,e23) = e22
& op2(e23,e24) = e21
& op2(e24,e20) = e22
& op2(e24,e21) = e23
& op2(e24,e22) = e21
& op2(e24,e23) = e24
& op2(e24,e24) = e20 ),
file('/tmp/tmp1rc47e/sel_ALG180+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/tmp1rc47e/sel_ALG180+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(12,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(13,plain,
e21 != e24,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(16,plain,
e20 != e24,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(45,plain,
e13 != 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(54,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(65,plain,
op1(e12,e14) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(66,plain,
op1(e12,e13) = e14,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(67,plain,
op1(e12,e12) = e12,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(68,plain,
op1(e12,e11) = e13,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(69,plain,
op1(e12,e10) = e11,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(80,plain,
op2(e24,e24) = e20,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(86,plain,
op2(e23,e23) = e22,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(92,plain,
op2(e22,e22) = e23,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(95,plain,
op2(e21,e24) = e24,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(104,plain,
op2(e20,e20) = e24,
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(108,negated_conjecture,
j(h(e12)) = e12,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(111,negated_conjecture,
h(j(e24)) = e24,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(114,negated_conjecture,
h(j(e21)) = e21,
inference(split_conjunct,[status(thm)],[105]) ).
cnf(131,negated_conjecture,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(153,negated_conjecture,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
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(169,plain,
( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10
| ~ 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(202,negated_conjecture,
op1(j(e21),j(e24)) = j(e24),
inference(rw,[status(thm)],[131,95,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(275,negated_conjecture,
op2(h(e12),h(e12)) = h(e12),
inference(rw,[status(thm)],[153,67,theory(equality)]) ).
cnf(276,plain,
( op2(e24,e24) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(spm,[status(thm)],[275,211,theory(equality)]) ).
cnf(277,plain,
( e20 = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(rw,[status(thm)],[276,80,theory(equality)]) ).
cnf(278,plain,
( h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(sr,[status(thm)],[277,16,theory(equality)]) ).
cnf(384,plain,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14
| $false ),
inference(rw,[status(thm)],[169,166,theory(equality)]) ).
cnf(385,plain,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12
| j(e24) = e13
| j(e24) = e14 ),
inference(cn,[status(thm)],[384,theory(equality)]) ).
cnf(409,plain,
( op2(e23,e23) = e23
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22 ),
inference(spm,[status(thm)],[275,278,theory(equality)]) ).
cnf(414,plain,
( e22 = e23
| h(e12) = e20
| h(e12) = e21
| h(e12) = e22 ),
inference(rw,[status(thm)],[409,86,theory(equality)]) ).
cnf(415,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22 ),
inference(sr,[status(thm)],[414,12,theory(equality)]) ).
cnf(423,plain,
( op2(e22,e22) = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(spm,[status(thm)],[275,415,theory(equality)]) ).
cnf(428,plain,
( e23 = e22
| h(e12) = e21
| h(e12) = e20 ),
inference(rw,[status(thm)],[423,92,theory(equality)]) ).
cnf(429,plain,
( h(e12) = e21
| h(e12) = e20 ),
inference(sr,[status(thm)],[428,12,theory(equality)]) ).
cnf(431,plain,
( j(e21) = e12
| h(e12) = e20 ),
inference(spm,[status(thm)],[108,429,theory(equality)]) ).
cnf(447,plain,
( op2(e20,e20) = e20
| j(e21) = e12 ),
inference(spm,[status(thm)],[275,431,theory(equality)]) ).
cnf(452,plain,
( e24 = e20
| j(e21) = e12 ),
inference(rw,[status(thm)],[447,104,theory(equality)]) ).
cnf(453,plain,
j(e21) = e12,
inference(sr,[status(thm)],[452,16,theory(equality)]) ).
cnf(460,negated_conjecture,
op1(e12,j(e24)) = j(e24),
inference(rw,[status(thm)],[202,453,theory(equality)]) ).
cnf(469,negated_conjecture,
h(e12) = e21,
inference(rw,[status(thm)],[114,453,theory(equality)]) ).
cnf(502,plain,
( op1(e12,e14) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(spm,[status(thm)],[460,385,theory(equality)]) ).
cnf(503,plain,
( e10 = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(rw,[status(thm)],[502,65,theory(equality)]) ).
cnf(504,plain,
( j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 ),
inference(sr,[status(thm)],[503,51,theory(equality)]) ).
cnf(562,plain,
( op1(e12,e13) = e13
| j(e24) = e10
| j(e24) = e11
| j(e24) = e12 ),
inference(spm,[status(thm)],[460,504,theory(equality)]) ).
cnf(567,plain,
( e14 = e13
| j(e24) = e10
| j(e24) = e11
| j(e24) = e12 ),
inference(rw,[status(thm)],[562,66,theory(equality)]) ).
cnf(568,plain,
( j(e24) = e10
| j(e24) = e11
| j(e24) = e12 ),
inference(sr,[status(thm)],[567,45,theory(equality)]) ).
cnf(571,plain,
( h(e12) = e24
| j(e24) = e11
| j(e24) = e10 ),
inference(spm,[status(thm)],[111,568,theory(equality)]) ).
cnf(581,plain,
( e21 = e24
| j(e24) = e11
| j(e24) = e10 ),
inference(rw,[status(thm)],[571,469,theory(equality)]) ).
cnf(582,plain,
( j(e24) = e11
| j(e24) = e10 ),
inference(sr,[status(thm)],[581,13,theory(equality)]) ).
cnf(600,plain,
( op1(e12,e11) = e11
| j(e24) = e10 ),
inference(spm,[status(thm)],[460,582,theory(equality)]) ).
cnf(605,plain,
( e13 = e11
| j(e24) = e10 ),
inference(rw,[status(thm)],[600,68,theory(equality)]) ).
cnf(606,plain,
j(e24) = e10,
inference(sr,[status(thm)],[605,49,theory(equality)]) ).
cnf(609,negated_conjecture,
op1(e12,e10) = j(e24),
inference(rw,[status(thm)],[460,606,theory(equality)]) ).
cnf(610,negated_conjecture,
op1(e12,e10) = e10,
inference(rw,[status(thm)],[609,606,theory(equality)]) ).
cnf(611,negated_conjecture,
e11 = e10,
inference(rw,[status(thm)],[610,69,theory(equality)]) ).
cnf(612,negated_conjecture,
$false,
inference(sr,[status(thm)],[611,54,theory(equality)]) ).
cnf(613,negated_conjecture,
$false,
612,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG180+1.p
% --creating new selector for []
% -running prover on /tmp/tmp1rc47e/sel_ALG180+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG180+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG180+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG180+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
%
%------------------------------------------------------------------------------