%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ001-2 : 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 : n005.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 08:21:30 AM UTC 2026
% Result : Unsatisfiable 10.07s 1.64s
% Output : CNFRefutation 10.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 17 unt; 13 nHn; 34 RR)
% Number of literals : 69 ( 26 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(someone_in_mansion,axiom,
'lives$uat$udreadsbury'(someone) ).
cnf(someone_killed_agatha,axiom,
killed(someone,'aunt$uagatha') ).
cnf(noone_else_lives_at_mansion,axiom,
( X0 = charles
| X0 = butler
| X0 = 'aunt$uagatha'
| ~ 'lives$uat$udreadsbury'(X0) ) ).
cnf(killer_hates_victim,axiom,
( hates(X0,X1)
| ~ killed(X0,X1) ) ).
cnf(killer_poorer_than_victim,axiom,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ) ).
cnf(charles_and_agatha_hate_different_people,axiom,
( ~ hates(charles,X0)
| ~ hates('aunt$uagatha',X0) ) ).
cnf(agatha_likes_only_butler,axiom,
( hates('aunt$uagatha',X0)
| X0 = butler ) ).
cnf(butler_hates_poor_people,axiom,
( hates(butler,X0)
| richer(X0,'aunt$uagatha') ) ).
cnf(butler_and_agatha_hate_the_same_people,axiom,
( hates(butler,X0)
| ~ hates('aunt$uagatha',X0) ) ).
cnf(noone_hates_everyone,axiom,
~ hates(X0,'every$uone$ubut'(X0)) ).
cnf(agatha_is_not_the_butler,axiom,
'aunt$uagatha' != butler ).
cnf(prove_agatha_killed_herself,negated_conjecture,
~ killed('aunt$uagatha','aunt$uagatha') ).
cnf(c0,plain,
'lives$uat$udreadsbury'(someone),
inference(clausification,[status(esa)],[someone_in_mansion]) ).
cnf(c1,plain,
killed(someone,'aunt$uagatha'),
inference(clausification,[status(esa)],[someone_killed_agatha]) ).
cnf(c5,plain,
( X0 = charles
| X0 = butler
| X0 = 'aunt$uagatha'
| ~ 'lives$uat$udreadsbury'(X0) ),
inference(clausification,[status(esa)],[noone_else_lives_at_mansion]) ).
cnf(c6,plain,
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(clausification,[status(esa)],[killer_hates_victim]) ).
cnf(c7,plain,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(clausification,[status(esa)],[killer_poorer_than_victim]) ).
cnf(c8,plain,
( ~ hates(charles,X0)
| ~ hates('aunt$uagatha',X0) ),
inference(clausification,[status(esa)],[charles_and_agatha_hate_different_people]) ).
cnf(c9,plain,
( hates('aunt$uagatha',X0)
| X0 = butler ),
inference(clausification,[status(esa)],[agatha_likes_only_butler]) ).
cnf(c10,plain,
( hates(butler,X0)
| richer(X0,'aunt$uagatha') ),
inference(clausification,[status(esa)],[butler_hates_poor_people]) ).
cnf(c11,plain,
( hates(butler,X0)
| ~ hates('aunt$uagatha',X0) ),
inference(clausification,[status(esa)],[butler_and_agatha_hate_the_same_people]) ).
cnf(c12,plain,
~ hates(X0,'every$uone$ubut'(X0)),
inference(clausification,[status(esa)],[noone_hates_everyone]) ).
cnf(c13,plain,
'aunt$uagatha' != butler,
inference(clausification,[status(esa)],[agatha_is_not_the_butler]) ).
cnf(c14,plain,
~ killed('aunt$uagatha','aunt$uagatha'),
inference(clausification,[status(esa)],[prove_agatha_killed_herself]) ).
cnf(d0,plain,
( ~ killed(X0,'aunt$uagatha')
| hates(butler,X0) ),
inference(resolution,[status(thm)],[c10,c7]) ).
cnf(d1,plain,
hates(butler,someone),
inference(resolution,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
hates(someone,'aunt$uagatha'),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d3,plain,
( someone = charles
| someone = butler
| someone = 'aunt$uagatha' ),
inference(resolution,[status(thm)],[c5,c0]) ).
cnf(d4,plain,
( someone = butler
| someone = 'aunt$uagatha'
| hates(charles,'aunt$uagatha') ),
inference(superposition,[status(thm)],[d3,d2]) ).
cnf(d5,plain,
( ~ hates('aunt$uagatha','aunt$uagatha')
| someone = butler
| someone = 'aunt$uagatha' ),
inference(resolution,[status(thm)],[d4,c8]) ).
cnf(d6,plain,
( 'aunt$uagatha' = butler
| someone = butler
| someone = 'aunt$uagatha' ),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
( someone = butler
| someone = 'aunt$uagatha' ),
inference(resolution,[status(thm)],[c13,d6]) ).
cnf(d8,plain,
( someone = 'aunt$uagatha'
| hates(butler,butler) ),
inference(superposition,[status(thm)],[d7,d1]) ).
cnf(d9,plain,
( X0 = butler
| hates(butler,X0) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(d10,plain,
'every$uone$ubut'(butler) = butler,
inference(resolution,[status(thm)],[d9,c12]) ).
cnf(d11,plain,
~ hates(butler,butler),
inference(superposition,[status(thm)],[d10,c12]) ).
cnf(d12,plain,
someone = 'aunt$uagatha',
inference(resolution,[status(thm)],[d11,d8]) ).
cnf(d13,plain,
killed('aunt$uagatha','aunt$uagatha'),
inference(demodulation,[status(thm)],[c1,d12]) ).
cnf(d14,plain,
$false,
inference(resolution,[status(thm)],[c14,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ001-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n005.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 05:02:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.07/1.64 % SZS status Unsatisfiable for theBenchmark.p
% 10.07/1.64 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------