%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 08:01:21 AM UTC 2026
% Result : Unsatisfiable 11.51s 2.99s
% Output : CNFRefutation 11.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 9 unt; 0 nHn; 15 RR)
% Number of literals : 25 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_6_30,axiom,
( greater(position(X0,X1),position(X0,X2))
| ~ greater('external$uties'(X0,X1),'external$uties'(X0,X2))
| ~ organization(X0) ) ).
cnf(assumption_8_32,axiom,
( greater('external$uties'(X0,X1),'external$uties'(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ) ).
cnf(lemma_4_33,negated_conjecture,
organization(sk1) ).
cnf(lemma_4_34,negated_conjecture,
greater(age(sk1,sk3),age(sk1,sk2)) ).
cnf(lemma_4_35,negated_conjecture,
~ greater(position(sk1,sk3),position(sk1,sk2)) ).
cnf(c0,plain,
( greater(position(X0,X1),position(X0,X2))
| ~ greater('external$uties'(X0,X1),'external$uties'(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_6_30]) ).
cnf(c2,plain,
( greater('external$uties'(X0,X1),'external$uties'(X0,X2))
| ~ greater(age(X0,X1),age(X0,X2))
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_8_32]) ).
cnf(c3,plain,
organization(sk1),
inference(clausification,[status(esa)],[lemma_4_33]) ).
cnf(c4,plain,
greater(age(sk1,sk3),age(sk1,sk2)),
inference(clausification,[status(esa)],[lemma_4_34]) ).
cnf(c5,plain,
~ greater(position(sk1,sk3),position(sk1,sk2)),
inference(clausification,[status(esa)],[lemma_4_35]) ).
cnf(d0,plain,
( greater('external$uties'(sk1,sk3),'external$uties'(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[c4,c2]) ).
cnf(d1,plain,
greater('external$uties'(sk1,sk3),'external$uties'(sk1,sk2)),
inference(resolution,[status(thm)],[c3,d0]) ).
cnf(d2,plain,
( greater(position(sk1,sk3),position(sk1,sk2))
| ~ organization(sk1) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
greater(position(sk1,sk3),position(sk1,sk2)),
inference(resolution,[status(thm)],[c3,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT045-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.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 00:09:29 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.51/2.99 % SZS status Unsatisfiable for theBenchmark.p
% 11.51/2.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------