%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ002-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 08:21:31 AM UTC 2026
% Result : Unsatisfiable 8.45s 6.70s
% Output : CNFRefutation 8.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 35 ( 13 unt; 4 nHn; 31 RR)
% Number of literals : 57 ( 0 equ; 23 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(only_cats_in_house,axiom,
( cat(X0)
| ~ 'in$uhouse'(X0) ) ).
cnf(gazers_are_suitable_pets,axiom,
( 'suitable$upet'(X0)
| ~ gazer(X0) ) ).
cnf(avoid_detested,axiom,
( avoided(X0)
| ~ detested(X0) ) ).
cnf(carnivores_are_prowlers,axiom,
( prowler(X0)
| ~ carnivore(X0) ) ).
cnf(cats_are_mice_killers,axiom,
( 'mouse$ukiller'(X0)
| ~ cat(X0) ) ).
cnf(in_house_if_takes_to_me,axiom,
( 'in$uhouse'(X0)
| ~ 'takes$uto$ume'(X0) ) ).
cnf(kangaroos_are_not_pets,axiom,
( ~ 'suitable$upet'(X0)
| ~ kangaroo(X0) ) ).
cnf(mouse_killers_are_carnivores,axiom,
( carnivore(X0)
| ~ 'mouse$ukiller'(X0) ) ).
cnf(takes_to_me_or_detested,axiom,
( detested(X0)
| 'takes$uto$ume'(X0) ) ).
cnf(prowlers_are_gazers,axiom,
( gazer(X0)
| ~ prowler(X0) ) ).
cnf(kangaroo_is_a_kangaroo,axiom,
kangaroo('the$ukangaroo') ).
cnf(avoid_kangaroo,negated_conjecture,
~ avoided('the$ukangaroo') ).
cnf(c0,plain,
( cat(X0)
| ~ 'in$uhouse'(X0) ),
inference(clausification,[status(esa)],[only_cats_in_house]) ).
cnf(c1,plain,
( 'suitable$upet'(X0)
| ~ gazer(X0) ),
inference(clausification,[status(esa)],[gazers_are_suitable_pets]) ).
cnf(c2,plain,
( avoided(X0)
| ~ detested(X0) ),
inference(clausification,[status(esa)],[avoid_detested]) ).
cnf(c3,plain,
( prowler(X0)
| ~ carnivore(X0) ),
inference(clausification,[status(esa)],[carnivores_are_prowlers]) ).
cnf(c4,plain,
( 'mouse$ukiller'(X0)
| ~ cat(X0) ),
inference(clausification,[status(esa)],[cats_are_mice_killers]) ).
cnf(c5,plain,
( 'in$uhouse'(X0)
| ~ 'takes$uto$ume'(X0) ),
inference(clausification,[status(esa)],[in_house_if_takes_to_me]) ).
cnf(c6,plain,
( ~ 'suitable$upet'(X0)
| ~ kangaroo(X0) ),
inference(clausification,[status(esa)],[kangaroos_are_not_pets]) ).
cnf(c7,plain,
( carnivore(X0)
| ~ 'mouse$ukiller'(X0) ),
inference(clausification,[status(esa)],[mouse_killers_are_carnivores]) ).
cnf(c8,plain,
( detested(X0)
| 'takes$uto$ume'(X0) ),
inference(clausification,[status(esa)],[takes_to_me_or_detested]) ).
cnf(c9,plain,
( gazer(X0)
| ~ prowler(X0) ),
inference(clausification,[status(esa)],[prowlers_are_gazers]) ).
cnf(c10,plain,
kangaroo('the$ukangaroo'),
inference(clausification,[status(esa)],[kangaroo_is_a_kangaroo]) ).
cnf(c11,plain,
~ avoided('the$ukangaroo'),
inference(clausification,[status(esa)],[avoid_kangaroo]) ).
cnf(d0,plain,
( 'in$uhouse'(X0)
| detested(X0) ),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(d1,plain,
( avoided(X0)
| 'in$uhouse'(X0) ),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
'in$uhouse'('the$ukangaroo'),
inference(resolution,[status(thm)],[d1,c11]) ).
cnf(d3,plain,
cat('the$ukangaroo'),
inference(resolution,[status(thm)],[d2,c0]) ).
cnf(d4,plain,
'mouse$ukiller'('the$ukangaroo'),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
carnivore('the$ukangaroo'),
inference(resolution,[status(thm)],[d4,c7]) ).
cnf(d6,plain,
prowler('the$ukangaroo'),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
gazer('the$ukangaroo'),
inference(resolution,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
'suitable$upet'('the$ukangaroo'),
inference(resolution,[status(thm)],[d7,c1]) ).
cnf(d9,plain,
~ 'suitable$upet'('the$ukangaroo'),
inference(resolution,[status(thm)],[c6,c10]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ002-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n011.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Sat Sep 26 05:03:04 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.45/6.70 % SZS status Unsatisfiable for theBenchmark.p
% 8.45/6.70 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------