%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 08:22:11 AM UTC 2026
% Result : Unsatisfiable 10.50s 3.09s
% Output : CNFRefutation 10.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 12 unt; 0 nHn; 24 RR)
% Number of literals : 36 ( 0 equ; 21 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 29 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(thm100_1,negated_conjecture,
p(south,south,south,south,start) ).
cnf(thm100_3,negated_conjecture,
( ~ p(north,north,south,north,X0)
| p(south,north,south,north,'go$ualone'(X0)) ) ).
cnf(thm100_5,negated_conjecture,
( ~ p(north,south,north,south,X0)
| p(south,south,north,south,'go$ualone'(X0)) ) ).
cnf(thm100_6,negated_conjecture,
( ~ p(south,south,south,north,X0)
| p(north,north,south,north,'take$uwolf'(X0)) ) ).
cnf(thm100_10,negated_conjecture,
( ~ p(south,X0,south,X1,X2)
| p(north,X0,north,X1,'take$ugoat'(X2)) ) ).
cnf(thm100_11,negated_conjecture,
( ~ p(north,X0,north,X1,X2)
| p(south,X0,south,X1,'take$ugoat'(X2)) ) ).
cnf(thm100_14,negated_conjecture,
( ~ p(south,south,north,south,X0)
| p(north,south,north,north,'take$ucabbage'(X0)) ) ).
cnf(thm100_16,negated_conjecture,
~ p(north,north,north,north,X0) ).
cnf(c0,plain,
p(south,south,south,south,start),
inference(clausification,[status(esa)],[thm100_1]) ).
cnf(c2,plain,
( ~ p(north,north,south,north,X0)
| p(south,north,south,north,'go$ualone'(X0)) ),
inference(clausification,[status(esa)],[thm100_3]) ).
cnf(c4,plain,
( ~ p(north,south,north,south,X0)
| p(south,south,north,south,'go$ualone'(X0)) ),
inference(clausification,[status(esa)],[thm100_5]) ).
cnf(c5,plain,
( ~ p(south,south,south,north,X0)
| p(north,north,south,north,'take$uwolf'(X0)) ),
inference(clausification,[status(esa)],[thm100_6]) ).
cnf(c9,plain,
( ~ p(south,X0,south,X1,X2)
| p(north,X0,north,X1,'take$ugoat'(X2)) ),
inference(clausification,[status(esa)],[thm100_10]) ).
cnf(c10,plain,
( ~ p(north,X0,north,X1,X2)
| p(south,X0,south,X1,'take$ugoat'(X2)) ),
inference(clausification,[status(esa)],[thm100_11]) ).
cnf(c13,plain,
( ~ p(south,south,north,south,X0)
| p(north,south,north,north,'take$ucabbage'(X0)) ),
inference(clausification,[status(esa)],[thm100_14]) ).
cnf(c15,plain,
~ p(north,north,north,north,X0),
inference(clausification,[status(esa)],[thm100_16]) ).
cnf(d0,plain,
~ p(south,north,south,north,X0),
inference(resolution,[status(thm)],[c9,c15]) ).
cnf(d1,plain,
~ p(north,north,south,north,X0),
inference(resolution,[status(thm)],[d0,c2]) ).
cnf(d2,plain,
~ p(south,south,south,north,X0),
inference(resolution,[status(thm)],[d1,c5]) ).
cnf(d3,plain,
~ p(north,south,north,north,X0),
inference(resolution,[status(thm)],[d2,c10]) ).
cnf(d4,plain,
~ p(south,south,north,south,X0),
inference(resolution,[status(thm)],[d3,c13]) ).
cnf(d5,plain,
~ p(north,south,north,south,X0),
inference(resolution,[status(thm)],[d4,c4]) ).
cnf(d6,plain,
~ p(south,south,south,south,X0),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[d6,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : PUZ047-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n015.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sat Sep 26 05:10:43 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.50/3.09 % SZS status Unsatisfiable for theBenchmark.p
% 10.50/3.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------