TSTP Solution File: ALG084+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG084+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art05.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 03:47:59 EST 2010
% Result : Theorem 0.37s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 6
% Syntax : Number of formulae : 126 ( 57 unt; 0 def)
% Number of atoms : 884 ( 861 equ)
% Maximal formula atoms : 110 ( 7 avg)
% Number of connectives : 809 ( 51 ~; 406 |; 348 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 5 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/tmpODduHh/sel_ALG084+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/tmpODduHh/sel_ALG084+1.p_1',ax1) ).
fof(4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e10,e14) = e14
& op1(e11,e10) = e11
& op1(e11,e11) = e14
& op1(e11,e12) = e10
& op1(e11,e13) = e12
& op1(e11,e14) = e13
& op1(e12,e10) = e12
& op1(e12,e11) = e10
& op1(e12,e12) = e13
& op1(e12,e13) = e14
& op1(e12,e14) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e14
& op1(e13,e13) = e11
& op1(e13,e14) = e10
& op1(e14,e10) = e14
& op1(e14,e11) = e13
& op1(e14,e12) = e11
& op1(e14,e13) = e10
& op1(e14,e14) = e12 ),
file('/tmp/tmpODduHh/sel_ALG084+1.p_1',ax4) ).
fof(5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e20,e24) = e24
& op2(e21,e20) = e21
& op2(e21,e21) = e22
& op2(e21,e22) = e23
& op2(e21,e23) = e24
& op2(e21,e24) = e20
& op2(e22,e20) = e22
& op2(e22,e21) = e24
& op2(e22,e22) = e21
& op2(e22,e23) = e20
& op2(e22,e24) = e23
& op2(e23,e20) = e23
& op2(e23,e21) = e20
& op2(e23,e22) = e24
& op2(e23,e23) = e21
& op2(e23,e24) = e22
& op2(e24,e20) = e24
& op2(e24,e21) = e23
& op2(e24,e22) = e20
& op2(e24,e23) = e22
& op2(e24,e24) = e21 ),
file('/tmp/tmpODduHh/sel_ALG084+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/tmpODduHh/sel_ALG084+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(14,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(15,plain,
e21 != e22,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(17,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(18,plain,
e20 != e22,
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(48,plain,
e11 != e14,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(49,plain,
e11 != e13,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(50,plain,
e11 != e12,
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(55,plain,
op1(e14,e14) = e12,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(56,plain,
op1(e14,e13) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(60,plain,
op1(e13,e14) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(61,plain,
op1(e13,e13) = e11,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(73,plain,
op1(e11,e11) = e14,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(79,plain,
op1(e10,e10) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(80,plain,
op2(e24,e24) = e21,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(83,plain,
op2(e24,e21) = e23,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(85,plain,
op2(e23,e24) = e22,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(86,plain,
op2(e23,e23) = e21,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(90,plain,
op2(e22,e24) = e23,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(92,plain,
op2(e22,e22) = e21,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(98,plain,
op2(e21,e21) = e22,
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(107,negated_conjecture,
j(h(e13)) = e13,
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(128,negated_conjecture,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(134,negated_conjecture,
j(op2(e21,e21)) = op1(j(e21),j(e21)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(141,negated_conjecture,
h(op1(e14,e14)) = op2(h(e14),h(e14)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(142,negated_conjecture,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(146,negated_conjecture,
h(op1(e13,e14)) = op2(h(e13),h(e14)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(147,negated_conjecture,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(159,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(split_conjunct,[status(thm)],[105]) ).
cnf(165,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
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(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(175,plain,
( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = 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(192,negated_conjecture,
op1(j(e21),j(e21)) = j(e22),
inference(rw,[status(thm)],[134,98,theory(equality)]) ).
cnf(205,negated_conjecture,
op1(j(e22),j(e22)) = j(e21),
inference(rw,[status(thm)],[128,92,theory(equality)]) ).
cnf(225,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24
| $false ),
inference(rw,[status(thm)],[175,166,theory(equality)]) ).
cnf(226,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e13) = e24 ),
inference(cn,[status(thm)],[225,theory(equality)]) ).
cnf(232,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(rw,[status(thm)],[165,79,theory(equality)]) ).
cnf(233,plain,
( op2(e24,e24) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(spm,[status(thm)],[232,181,theory(equality)]) ).
cnf(234,plain,
( e21 = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(rw,[status(thm)],[233,80,theory(equality)]) ).
cnf(235,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(sr,[status(thm)],[234,13,theory(equality)]) ).
cnf(250,negated_conjecture,
op2(h(e11),h(e11)) = h(e14),
inference(rw,[status(thm)],[159,73,theory(equality)]) ).
cnf(256,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(257,plain,
( h(e14) = e20
| h(e14) = e21
| h(e14) = e22
| h(e14) = e23
| h(e14) = e24 ),
inference(cn,[status(thm)],[256,theory(equality)]) ).
cnf(312,negated_conjecture,
op2(h(e13),h(e13)) = h(e11),
inference(rw,[status(thm)],[147,61,theory(equality)]) ).
cnf(315,negated_conjecture,
op2(h(e13),h(e14)) = h(e10),
inference(rw,[status(thm)],[146,60,theory(equality)]) ).
cnf(327,negated_conjecture,
op2(h(e14),h(e13)) = h(e10),
inference(rw,[status(thm)],[142,56,theory(equality)]) ).
cnf(347,negated_conjecture,
op2(h(e14),h(e14)) = h(e12),
inference(rw,[status(thm)],[141,55,theory(equality)]) ).
cnf(405,plain,
( op2(e23,e23) = e23
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference(spm,[status(thm)],[232,235,theory(equality)]) ).
cnf(414,plain,
( e21 = e23
| h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference(rw,[status(thm)],[405,86,theory(equality)]) ).
cnf(415,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22 ),
inference(sr,[status(thm)],[414,14,theory(equality)]) ).
cnf(419,plain,
( op2(e22,e22) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(spm,[status(thm)],[232,415,theory(equality)]) ).
cnf(428,plain,
( e21 = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(rw,[status(thm)],[419,92,theory(equality)]) ).
cnf(429,plain,
( h(e10) = e21
| h(e10) = e20 ),
inference(sr,[status(thm)],[428,15,theory(equality)]) ).
cnf(432,plain,
( op2(e21,e21) = e21
| h(e10) = e20 ),
inference(spm,[status(thm)],[232,429,theory(equality)]) ).
cnf(441,plain,
( e22 = e21
| h(e10) = e20 ),
inference(rw,[status(thm)],[432,98,theory(equality)]) ).
cnf(442,plain,
h(e10) = e20,
inference(sr,[status(thm)],[441,15,theory(equality)]) ).
cnf(443,negated_conjecture,
op2(h(e14),h(e13)) = e20,
inference(rw,[status(thm)],[327,442,theory(equality)]) ).
cnf(445,negated_conjecture,
op2(h(e13),h(e14)) = e20,
inference(rw,[status(thm)],[315,442,theory(equality)]) ).
cnf(458,negated_conjecture,
j(e20) = e10,
inference(rw,[status(thm)],[110,442,theory(equality)]) ).
cnf(461,plain,
( op2(h(e14),e24) = e20
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(spm,[status(thm)],[443,226,theory(equality)]) ).
cnf(497,plain,
( op2(e24,h(e14)) = e20
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(spm,[status(thm)],[445,226,theory(equality)]) ).
cnf(531,plain,
( op2(e24,e24) = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(spm,[status(thm)],[461,257,theory(equality)]) ).
cnf(532,plain,
( e21 = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(rw,[status(thm)],[531,80,theory(equality)]) ).
cnf(533,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 ),
inference(sr,[status(thm)],[532,19,theory(equality)]) ).
cnf(768,plain,
( op2(e23,e24) = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e20
| h(e14) = e21
| h(e14) = e22 ),
inference(spm,[status(thm)],[461,533,theory(equality)]) ).
cnf(776,plain,
( e22 = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e20
| h(e14) = e21
| h(e14) = e22 ),
inference(rw,[status(thm)],[768,85,theory(equality)]) ).
cnf(777,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e20
| h(e14) = e21
| h(e14) = e22 ),
inference(sr,[status(thm)],[776,18,theory(equality)]) ).
cnf(797,plain,
( op2(e22,e24) = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e21
| h(e14) = e20 ),
inference(spm,[status(thm)],[461,777,theory(equality)]) ).
cnf(805,plain,
( e23 = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e21
| h(e14) = e20 ),
inference(rw,[status(thm)],[797,90,theory(equality)]) ).
cnf(806,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e21
| h(e14) = e20 ),
inference(sr,[status(thm)],[805,17,theory(equality)]) ).
cnf(829,plain,
( op2(e24,e21) = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e20 ),
inference(spm,[status(thm)],[497,806,theory(equality)]) ).
cnf(836,plain,
( e23 = e20
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e20 ),
inference(rw,[status(thm)],[829,83,theory(equality)]) ).
cnf(837,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| h(e14) = e20 ),
inference(sr,[status(thm)],[836,17,theory(equality)]) ).
cnf(841,plain,
( j(e20) = e14
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(spm,[status(thm)],[106,837,theory(equality)]) ).
cnf(856,plain,
( e10 = e14
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(rw,[status(thm)],[841,458,theory(equality)]) ).
cnf(857,plain,
( h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 ),
inference(sr,[status(thm)],[856,51,theory(equality)]) ).
cnf(886,plain,
( op2(e23,e23) = h(e11)
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22 ),
inference(spm,[status(thm)],[312,857,theory(equality)]) ).
cnf(898,plain,
( e21 = h(e11)
| h(e13) = e20
| h(e13) = e21
| h(e13) = e22 ),
inference(rw,[status(thm)],[886,86,theory(equality)]) ).
cnf(959,plain,
( op2(e22,e22) = h(e11)
| h(e13) = e21
| h(e13) = e20
| h(e11) = e21 ),
inference(spm,[status(thm)],[312,898,theory(equality)]) ).
cnf(971,plain,
( e21 = h(e11)
| h(e13) = e21
| h(e13) = e20
| h(e11) = e21 ),
inference(rw,[status(thm)],[959,92,theory(equality)]) ).
cnf(972,plain,
( e21 = h(e11)
| h(e13) = e21
| h(e13) = e20 ),
inference(cn,[status(thm)],[971,theory(equality)]) ).
cnf(987,plain,
( j(e21) = e13
| h(e13) = e20
| h(e11) = e21 ),
inference(spm,[status(thm)],[107,972,theory(equality)]) ).
cnf(1018,plain,
( j(e20) = e13
| h(e11) = e21
| j(e21) = e13 ),
inference(spm,[status(thm)],[107,987,theory(equality)]) ).
cnf(1035,plain,
( e10 = e13
| h(e11) = e21
| j(e21) = e13 ),
inference(rw,[status(thm)],[1018,458,theory(equality)]) ).
cnf(1036,plain,
( h(e11) = e21
| j(e21) = e13 ),
inference(sr,[status(thm)],[1035,52,theory(equality)]) ).
cnf(1059,plain,
( j(e21) = e11
| j(e21) = e13 ),
inference(spm,[status(thm)],[109,1036,theory(equality)]) ).
cnf(1060,plain,
( op2(e21,e21) = h(e14)
| j(e21) = e13 ),
inference(spm,[status(thm)],[250,1036,theory(equality)]) ).
cnf(1073,plain,
( e22 = h(e14)
| j(e21) = e13 ),
inference(rw,[status(thm)],[1060,98,theory(equality)]) ).
cnf(1084,plain,
( op1(e13,e13) = j(e22)
| j(e21) = e11 ),
inference(spm,[status(thm)],[192,1059,theory(equality)]) ).
cnf(1095,plain,
( e11 = j(e22)
| j(e21) = e11 ),
inference(rw,[status(thm)],[1084,61,theory(equality)]) ).
cnf(1112,plain,
( op2(e22,e22) = h(e12)
| j(e21) = e13 ),
inference(spm,[status(thm)],[347,1073,theory(equality)]) ).
cnf(1121,plain,
( e21 = h(e12)
| j(e21) = e13 ),
inference(rw,[status(thm)],[1112,92,theory(equality)]) ).
cnf(1163,plain,
( op1(e11,e11) = j(e21)
| j(e21) = e11 ),
inference(spm,[status(thm)],[205,1095,theory(equality)]) ).
cnf(1172,plain,
( e14 = j(e21)
| j(e21) = e11 ),
inference(rw,[status(thm)],[1163,73,theory(equality)]) ).
cnf(1295,plain,
( e14 = e13
| e14 = e11
| j(e21) = e11 ),
inference(spm,[status(thm)],[1059,1172,theory(equality)]) ).
cnf(1303,plain,
( e14 = e11
| j(e21) = e11 ),
inference(sr,[status(thm)],[1295,45,theory(equality)]) ).
cnf(1304,plain,
j(e21) = e11,
inference(sr,[status(thm)],[1303,48,theory(equality)]) ).
cnf(1326,plain,
( e11 = e13
| h(e12) = e21 ),
inference(rw,[status(thm)],[1121,1304,theory(equality)]) ).
cnf(1327,plain,
h(e12) = e21,
inference(sr,[status(thm)],[1326,49,theory(equality)]) ).
cnf(1474,negated_conjecture,
j(e21) = e12,
inference(rw,[status(thm)],[108,1327,theory(equality)]) ).
cnf(1475,negated_conjecture,
e11 = e12,
inference(rw,[status(thm)],[1474,1304,theory(equality)]) ).
cnf(1476,negated_conjecture,
$false,
inference(sr,[status(thm)],[1475,50,theory(equality)]) ).
cnf(1477,negated_conjecture,
$false,
1476,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG084+1.p
% --creating new selector for []
% -running prover on /tmp/tmpODduHh/sel_ALG084+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG084+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG084+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG084+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
%
%------------------------------------------------------------------------------