%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:22:19 AM UTC 2026
% Result : Theorem 8.84s 6.78s
% Output : CNFRefutation 8.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 31 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 8 ~; 5 |; 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(capital_city_type,axiom,
! [X0] :
( capital(X0)
=> city(X0) ) ).
fof(washington_type,axiom,
capital(washington) ).
fof(usa_type,axiom,
country(usa) ).
fof(crime_axiom,axiom,
! [X0] :
( city(X0)
=> 'has$ucrime'(X0) ) ).
fof(usa_capital_axiom,axiom,
'capital$ucity'(usa) = washington ).
fof(beautiful_capital_axiom,axiom,
! [X0] :
( country(X0)
=> beautiful('capital$ucity'(X0)) ) ).
fof(washington_conjecture,conjecture,
( 'has$ucrime'(washington)
& beautiful(washington) ) ).
fof(negated_conjecture,negated_conjecture,
~ ( 'has$ucrime'(washington)
& beautiful(washington) ),
inference(negate_conjecture,[status(cth)],[washington_conjecture]) ).
cnf(c2,plain,
( city(X0)
| ~ capital(X0) ),
inference(clausification,[status(esa)],[capital_city_type]) ).
cnf(c4,plain,
capital(washington),
inference(clausification,[status(esa)],[washington_type]) ).
cnf(c5,plain,
country(usa),
inference(clausification,[status(esa)],[usa_type]) ).
cnf(c7,plain,
( 'has$ucrime'(X0)
| ~ city(X0) ),
inference(clausification,[status(esa)],[crime_axiom]) ).
cnf(c8,plain,
'capital$ucity'(usa) = washington,
inference(clausification,[status(esa)],[usa_capital_axiom]) ).
cnf(c9,plain,
( beautiful('capital$ucity'(X0))
| ~ country(X0) ),
inference(clausification,[status(esa)],[beautiful_capital_axiom]) ).
cnf(c10,plain,
( ~ 'has$ucrime'(washington)
| ~ beautiful(washington) ),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ country(usa)
| beautiful(washington) ),
inference(superposition,[status(thm)],[c8,c9]) ).
cnf(d1,plain,
beautiful(washington),
inference(resolution,[status(thm)],[c5,d0]) ).
cnf(d2,plain,
city(washington),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d3,plain,
'has$ucrime'(washington),
inference(resolution,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
~ beautiful(washington),
inference(resolution,[status(thm)],[d3,c10]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.57 % Computer : n003.cluster.edu
% 0.09/5.57 % Model : x86_64 x86_64
% 0.09/5.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.57 % Memory : 8046.5625MB
% 0.09/5.57 % OS : Linux 6.8.0-71-generic
% 0.09/5.57 % CPULimit : 300
% 0.09/5.57 % WCLimit : 300
% 0.09/5.57 % DateTime : Sat Sep 26 05:20:45 UTC 2026
% 0.09/5.57 % CPUTime :
% 0.09/5.57 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.84/6.78 % SZS status Theorem for theBenchmark.p
% 8.84/6.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------