TSTP Solution File: ALG020+1 by SInE---0.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SInE---0.4
% Problem : ALG020+1 : TPTP v5.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : Source/sine.py -e eprover -t %d %s
% Computer : art06.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 03:37:34 EST 2010
% Result : Theorem 0.19s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 6
% Syntax : Number of formulae : 78 ( 33 unt; 0 def)
% Number of atoms : 524 ( 503 equ)
% Maximal formula atoms : 72 ( 6 avg)
% Number of connectives : 479 ( 33 ~; 210 |; 232 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(1,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/tmp/tmpqWahaU/sel_ALG020+1.p_1',ax2) ).
fof(3,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/tmp/tmpqWahaU/sel_ALG020+1.p_1',ax1) ).
fof(4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e13
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e11
& op1(e13,e13) = e10 ),
file('/tmp/tmpqWahaU/sel_ALG020+1.p_1',ax4) ).
fof(5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e21,e20) = e21
& op2(e21,e21) = e23
& op2(e21,e22) = e20
& op2(e21,e23) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e20 ),
file('/tmp/tmpqWahaU/sel_ALG020+1.p_1',ax5) ).
fof(6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) )
=> ~ ( 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(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(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(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))
& 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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
file('/tmp/tmpqWahaU/sel_ALG020+1.p_1',co1) ).
fof(7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) )
=> ~ ( 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(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(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(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))
& 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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
inference(assume_negation,[status(cth)],[6]) ).
fof(8,plain,
( epred1_0
=> ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) ) ),
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(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(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(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))
& 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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
inference(apply_def,[status(esa)],[7,8,theory(equality)]) ).
cnf(10,plain,
e22 != e23,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(11,plain,
e21 != e23,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(13,plain,
e20 != e23,
inference(split_conjunct,[status(thm)],[1]) ).
cnf(37,plain,
e10 != e11,
inference(split_conjunct,[status(thm)],[3]) ).
cnf(38,plain,
op1(e13,e13) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(43,plain,
op1(e12,e12) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(48,plain,
op1(e11,e11) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(53,plain,
op1(e10,e10) = e10,
inference(split_conjunct,[status(thm)],[4]) ).
cnf(54,plain,
op2(e23,e23) = e20,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(59,plain,
op2(e22,e22) = e23,
inference(split_conjunct,[status(thm)],[5]) ).
cnf(64,plain,
op2(e21,e21) = e23,
inference(split_conjunct,[status(thm)],[5]) ).
fof(70,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(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(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(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))
& 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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ),
inference(fof_nnf,[status(thm)],[9]) ).
cnf(73,negated_conjecture,
j(h(e11)) = e11,
inference(split_conjunct,[status(thm)],[70]) ).
cnf(74,negated_conjecture,
j(h(e10)) = e10,
inference(split_conjunct,[status(thm)],[70]) ).
cnf(75,negated_conjecture,
h(j(e23)) = e23,
inference(split_conjunct,[status(thm)],[70]) ).
cnf(76,negated_conjecture,
h(j(e22)) = e22,
inference(split_conjunct,[status(thm)],[70]) ).
cnf(84,negated_conjecture,
j(op2(e22,e22)) = op1(j(e22),j(e22)),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(105,negated_conjecture,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(110,negated_conjecture,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(split_conjunct,[status(thm)],[70]) ).
cnf(111,negated_conjecture,
epred1_0,
inference(split_conjunct,[status(thm)],[70]) ).
fof(112,plain,
( ~ epred1_0
| ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) ) ),
inference(fof_nnf,[status(thm)],[8]) ).
fof(113,plain,
( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| ~ epred1_0 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| ~ epred1_0 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23
| ~ epred1_0 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23
| ~ epred1_0 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13
| ~ epred1_0 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13
| ~ epred1_0 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| ~ epred1_0 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13
| ~ epred1_0 ) ),
inference(distribute,[status(thm)],[112]) ).
cnf(115,plain,
( j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[113]) ).
cnf(120,plain,
( h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[113]) ).
cnf(121,plain,
( h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20
| ~ epred1_0 ),
inference(split_conjunct,[status(thm)],[113]) ).
cnf(124,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23
| $false ),
inference(rw,[status(thm)],[121,111,theory(equality)]) ).
cnf(125,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference(cn,[status(thm)],[124,theory(equality)]) ).
cnf(138,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23
| $false ),
inference(rw,[status(thm)],[120,111,theory(equality)]) ).
cnf(139,plain,
( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 ),
inference(cn,[status(thm)],[138,theory(equality)]) ).
cnf(143,plain,
( j(e23) = e11
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 ),
inference(spm,[status(thm)],[73,139,theory(equality)]) ).
cnf(144,negated_conjecture,
op1(j(e22),j(e22)) = j(e23),
inference(rw,[status(thm)],[84,59,theory(equality)]) ).
cnf(150,negated_conjecture,
op2(h(e10),h(e10)) = h(e10),
inference(rw,[status(thm)],[110,53,theory(equality)]) ).
cnf(151,plain,
( op2(e23,e23) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(spm,[status(thm)],[150,125,theory(equality)]) ).
cnf(152,plain,
( e20 = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(rw,[status(thm)],[151,54,theory(equality)]) ).
cnf(153,plain,
( h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ),
inference(sr,[status(thm)],[152,13,theory(equality)]) ).
cnf(171,negated_conjecture,
op2(h(e11),h(e11)) = h(e10),
inference(rw,[status(thm)],[105,48,theory(equality)]) ).
cnf(240,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13
| $false ),
inference(rw,[status(thm)],[115,111,theory(equality)]) ).
cnf(241,plain,
( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 ),
inference(cn,[status(thm)],[240,theory(equality)]) ).
cnf(271,plain,
( op2(e22,e22) = e22
| h(e10) = e20
| h(e10) = e21 ),
inference(spm,[status(thm)],[150,153,theory(equality)]) ).
cnf(278,plain,
( e23 = e22
| h(e10) = e20
| h(e10) = e21 ),
inference(rw,[status(thm)],[271,59,theory(equality)]) ).
cnf(279,plain,
( h(e10) = e20
| h(e10) = e21 ),
inference(sr,[status(thm)],[278,10,theory(equality)]) ).
cnf(282,plain,
( op2(e21,e21) = e21
| h(e10) = e20 ),
inference(spm,[status(thm)],[150,279,theory(equality)]) ).
cnf(289,plain,
( e23 = e21
| h(e10) = e20 ),
inference(rw,[status(thm)],[282,64,theory(equality)]) ).
cnf(290,plain,
h(e10) = e20,
inference(sr,[status(thm)],[289,11,theory(equality)]) ).
cnf(295,negated_conjecture,
op2(h(e11),h(e11)) = e20,
inference(rw,[status(thm)],[171,290,theory(equality)]) ).
cnf(303,negated_conjecture,
j(e20) = e10,
inference(rw,[status(thm)],[74,290,theory(equality)]) ).
cnf(369,plain,
( op2(e22,e22) = e20
| h(e11) = e20
| h(e11) = e21
| j(e23) = e11 ),
inference(spm,[status(thm)],[295,143,theory(equality)]) ).
cnf(372,plain,
( e23 = e20
| h(e11) = e20
| h(e11) = e21
| j(e23) = e11 ),
inference(rw,[status(thm)],[369,59,theory(equality)]) ).
cnf(373,plain,
( h(e11) = e20
| h(e11) = e21
| j(e23) = e11 ),
inference(sr,[status(thm)],[372,13,theory(equality)]) ).
cnf(382,plain,
( op2(e21,e21) = e20
| j(e23) = e11
| h(e11) = e20 ),
inference(spm,[status(thm)],[295,373,theory(equality)]) ).
cnf(385,plain,
( e23 = e20
| j(e23) = e11
| h(e11) = e20 ),
inference(rw,[status(thm)],[382,64,theory(equality)]) ).
cnf(386,plain,
( j(e23) = e11
| h(e11) = e20 ),
inference(sr,[status(thm)],[385,13,theory(equality)]) ).
cnf(387,plain,
( j(e20) = e11
| j(e23) = e11 ),
inference(spm,[status(thm)],[73,386,theory(equality)]) ).
cnf(395,plain,
( e10 = e11
| j(e23) = e11 ),
inference(rw,[status(thm)],[387,303,theory(equality)]) ).
cnf(396,plain,
j(e23) = e11,
inference(sr,[status(thm)],[395,37,theory(equality)]) ).
cnf(415,negated_conjecture,
op1(j(e22),j(e22)) = e11,
inference(rw,[status(thm)],[144,396,theory(equality)]) ).
cnf(418,negated_conjecture,
h(e11) = e23,
inference(rw,[status(thm)],[75,396,theory(equality)]) ).
cnf(453,plain,
( op1(e13,e13) = e11
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(spm,[status(thm)],[415,241,theory(equality)]) ).
cnf(454,plain,
( e10 = e11
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(rw,[status(thm)],[453,38,theory(equality)]) ).
cnf(455,plain,
( j(e22) = e12
| j(e22) = e11
| j(e22) = e10 ),
inference(sr,[status(thm)],[454,37,theory(equality)]) ).
cnf(475,plain,
( op1(e12,e12) = e11
| j(e22) = e10
| j(e22) = e11 ),
inference(spm,[status(thm)],[415,455,theory(equality)]) ).
cnf(480,plain,
( e10 = e11
| j(e22) = e10
| j(e22) = e11 ),
inference(rw,[status(thm)],[475,43,theory(equality)]) ).
cnf(481,plain,
( j(e22) = e10
| j(e22) = e11 ),
inference(sr,[status(thm)],[480,37,theory(equality)]) ).
cnf(483,plain,
( h(e11) = e22
| j(e22) = e10 ),
inference(spm,[status(thm)],[76,481,theory(equality)]) ).
cnf(491,plain,
( e23 = e22
| j(e22) = e10 ),
inference(rw,[status(thm)],[483,418,theory(equality)]) ).
cnf(492,plain,
j(e22) = e10,
inference(sr,[status(thm)],[491,10,theory(equality)]) ).
cnf(505,negated_conjecture,
op1(e10,e10) = e11,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[415,492,theory(equality)]),492,theory(equality)]) ).
cnf(506,negated_conjecture,
e10 = e11,
inference(rw,[status(thm)],[505,53,theory(equality)]) ).
cnf(507,negated_conjecture,
$false,
inference(sr,[status(thm)],[506,37,theory(equality)]) ).
cnf(508,negated_conjecture,
$false,
507,
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % SZS status Started for /home/graph/tptp/TPTP/Problems/ALG/ALG020+1.p
% --creating new selector for []
% -running prover on /tmp/tmpqWahaU/sel_ALG020+1.p_1 with time limit 29
% -prover status Theorem
% Problem ALG020+1.p solved in phase 0.
% % SZS status Theorem for /home/graph/tptp/TPTP/Problems/ALG/ALG020+1.p
% % SZS status Ended for /home/graph/tptp/TPTP/Problems/ALG/ALG020+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
%
%------------------------------------------------------------------------------