%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ011-1 : 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 : n017.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 08:21:43 AM UTC 2026
% Result : Unsatisfiable 11.21s 2.93s
% Output : CNFRefutation 11.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 17 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 31 ( 0 equ; 20 neg)
% Maximal clause size : 5 ( 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 : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(indian,hypothesis,
ocean(indian) ).
cnf(indian_pakistan,hypothesis,
borders(indian,pakistan) ).
cnf(indian_kenya,hypothesis,
borders(indian,kenya) ).
cnf(kenya,hypothesis,
african(kenya) ).
cnf(pakistan,hypothesis,
asian(pakistan) ).
cnf(prove_there_is_a_common_ocean,negated_conjecture,
( ~ asian(X2)
| ~ borders(X0,X2)
| ~ african(X1)
| ~ borders(X0,X1)
| ~ ocean(X0) ) ).
cnf(c1,plain,
ocean(indian),
inference(clausification,[status(esa)],[indian]) ).
cnf(c9,plain,
borders(indian,pakistan),
inference(clausification,[status(esa)],[indian_pakistan]) ).
cnf(c12,plain,
borders(indian,kenya),
inference(clausification,[status(esa)],[indian_kenya]) ).
cnf(c21,plain,
african(kenya),
inference(clausification,[status(esa)],[kenya]) ).
cnf(c24,plain,
asian(pakistan),
inference(clausification,[status(esa)],[pakistan]) ).
cnf(c26,plain,
( ~ borders(X0,X2)
| ~ asian(X1)
| ~ ocean(X0)
| ~ african(X2)
| ~ borders(X0,X1) ),
inference(clausification,[status(esa)],[prove_there_is_a_common_ocean]) ).
cnf(d0,plain,
( ~ asian(pakistan)
| ~ african(X0)
| ~ borders(indian,X0)
| ~ ocean(indian) ),
inference(resolution,[status(thm)],[c26,c9]) ).
cnf(d1,plain,
( ~ asian(pakistan)
| ~ african(X0)
| ~ borders(indian,X0) ),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( ~ african(X0)
| ~ borders(indian,X0) ),
inference(resolution,[status(thm)],[c24,d1]) ).
cnf(d3,plain,
~ african(kenya),
inference(resolution,[status(thm)],[d2,c12]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c21,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n017.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 04:59:19 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.21/2.93 % SZS status Unsatisfiable for theBenchmark.p
% 11.21/2.93 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------