%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ001-1 : 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 : n013.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 8.46s 2.21s
% Output : CNFRefutation 8.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 31 ( 12 unt; 7 nHn; 31 RR)
% Number of literals : 56 ( 0 equ; 27 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(butler,hypothesis,
lives(butler) ).
cnf(poorer_killer,hypothesis,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ) ).
cnf(different_hates,hypothesis,
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ) ).
cnf(no_one_hates_everyone,hypothesis,
( ~ hates(X0,charles)
| ~ hates(X0,butler)
| ~ hates(X0,agatha) ) ).
cnf(agatha_hates_agatha,hypothesis,
hates(agatha,agatha) ).
cnf(agatha_hates_charles,hypothesis,
hates(agatha,charles) ).
cnf(killer_hates_victim,hypothesis,
( hates(X0,X1)
| ~ killed(X0,X1) ) ).
cnf(same_hates,hypothesis,
( hates(butler,X0)
| ~ hates(agatha,X0) ) ).
cnf(butler_hates_poor,hypothesis,
( hates(butler,X0)
| richer(X0,agatha)
| ~ lives(X0) ) ).
cnf(prove_neither_charles_nor_butler_did_it,negated_conjecture,
( killed(charles,agatha)
| killed(butler,agatha) ) ).
cnf(c1,plain,
lives(butler),
inference(clausification,[status(esa)],[butler]) ).
cnf(c3,plain,
( ~ richer(X0,X1)
| ~ killed(X0,X1) ),
inference(clausification,[status(esa)],[poorer_killer]) ).
cnf(c4,plain,
( ~ hates(charles,X0)
| ~ hates(agatha,X0) ),
inference(clausification,[status(esa)],[different_hates]) ).
cnf(c5,plain,
( ~ hates(X0,charles)
| ~ hates(X0,butler)
| ~ hates(X0,agatha) ),
inference(clausification,[status(esa)],[no_one_hates_everyone]) ).
cnf(c6,plain,
hates(agatha,agatha),
inference(clausification,[status(esa)],[agatha_hates_agatha]) ).
cnf(c7,plain,
hates(agatha,charles),
inference(clausification,[status(esa)],[agatha_hates_charles]) ).
cnf(c8,plain,
( hates(X0,X1)
| ~ killed(X0,X1) ),
inference(clausification,[status(esa)],[killer_hates_victim]) ).
cnf(c9,plain,
( hates(butler,X0)
| ~ hates(agatha,X0) ),
inference(clausification,[status(esa)],[same_hates]) ).
cnf(c10,plain,
( hates(butler,X0)
| richer(X0,agatha)
| ~ lives(X0) ),
inference(clausification,[status(esa)],[butler_hates_poor]) ).
cnf(c11,plain,
( killed(charles,agatha)
| killed(butler,agatha) ),
inference(clausification,[status(esa)],[prove_neither_charles_nor_butler_did_it]) ).
cnf(d0,plain,
( ~ killed(X0,agatha)
| hates(butler,X0)
| ~ lives(X0) ),
inference(resolution,[status(thm)],[c10,c3]) ).
cnf(d1,plain,
( hates(charles,agatha)
| killed(butler,agatha) ),
inference(resolution,[status(thm)],[c11,c8]) ).
cnf(d2,plain,
( hates(butler,butler)
| ~ lives(butler)
| hates(charles,agatha) ),
inference(resolution,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
( hates(charles,agatha)
| hates(butler,butler) ),
inference(resolution,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
hates(butler,charles),
inference(resolution,[status(thm)],[c9,c7]) ).
cnf(d5,plain,
( ~ hates(butler,butler)
| ~ hates(butler,agatha) ),
inference(resolution,[status(thm)],[d4,c5]) ).
cnf(d6,plain,
hates(butler,agatha),
inference(resolution,[status(thm)],[c9,c6]) ).
cnf(d7,plain,
~ hates(butler,butler),
inference(resolution,[status(thm)],[d6,d5]) ).
cnf(d8,plain,
hates(charles,agatha),
inference(resolution,[status(thm)],[d7,d3]) ).
cnf(d9,plain,
~ hates(agatha,agatha),
inference(resolution,[status(thm)],[d8,c4]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[c6,d9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sat Sep 26 05:02:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.46/2.21 % SZS status Unsatisfiable for theBenchmark.p
% 8.46/2.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------