%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ132+1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 01:24:41 PM UTC 2025
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 10 unt; 0 def)
% Number of atoms : 36 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 8 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(washington_conjecture,plain,
( beautiful(washington)
& has_crime(washington) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',washington_conjecture) ).
fof(washington_conjecture_negated,plain,
~ ( beautiful(washington)
& has_crime(washington) ),
inference(negate_conjecture,[status(cth)],[washington_conjecture]) ).
cnf(10,plain,
( ~ has_crime(washington)
| ~ beautiful(washington) ),
inference(cnf,[status(esa)],[washington_conjecture_negated]) ).
cnf(l0,plain,
( ~ has_crime(washington)
| ~ beautiful(washington) ),
inference(instantiation,[status(thm)],[10]) ).
fof(crime_axiom,plain,
! [X] :
( city(X)
=> has_crime(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',crime_axiom) ).
cnf(7,plain,
( ~ city(X0)
| has_crime(X0) ),
inference(cnf,[status(esa)],[crime_axiom]) ).
cnf(l1,plain,
( ~ city(washington)
| has_crime(washington) ),
inference(instantiation,[status(thm)],[7]) ).
fof(usa_capital_axiom,plain,
capital_city(usa) = washington,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',usa_capital_axiom) ).
cnf(8,plain,
capital_city(usa) = washington,
inference(cnf,[status(esa)],[usa_capital_axiom]) ).
cnf(l9,plain,
capital_city(usa) = washington,
inference(instantiation,[status(thm)],[8]) ).
fof(beautiful_capital_axiom,plain,
! [X] :
( country(X)
=> beautiful(capital_city(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beautiful_capital_axiom) ).
cnf(9,plain,
( ~ country(X0)
| beautiful(capital_city(X0)) ),
inference(cnf,[status(esa)],[beautiful_capital_axiom]) ).
cnf(l7,plain,
( ~ country(usa)
| beautiful(capital_city(usa)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(capital_city_type,plain,
! [A] :
( capital(A)
=> city(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',capital_city_type) ).
cnf(2,plain,
( ~ capital(X0)
| city(X0) ),
inference(cnf,[status(esa)],[capital_city_type]) ).
cnf(l3,plain,
( ~ capital(washington)
| city(washington) ),
inference(instantiation,[status(thm)],[2]) ).
fof(washington_type,plain,
capital(washington),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',washington_type) ).
cnf(4,plain,
capital(washington),
inference(cnf,[status(esa)],[washington_type]) ).
cnf(l5,plain,
capital(washington),
inference(instantiation,[status(thm)],[4]) ).
fof(usa_type,plain,
country(usa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',usa_type) ).
cnf(5,plain,
country(usa),
inference(cnf,[status(esa)],[usa_type]) ).
cnf(l12,plain,
country(usa),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l9,l7,l3,l5,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ132+1 : TPTP v9.0.0. Released v4.1.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 16:15:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.33 % launching worker at depth: 9
% 0.13/0.33 % launching worker at depth: 10
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------