%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT053-1 : 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 : n016.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 08:01:23 AM UTC 2026
% Result : Unsatisfiable 8.99s 2.04s
% Output : CNFRefutation 8.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 32 ( 3 unt; 15 nHn; 28 RR)
% Number of literals : 91 ( 0 equ; 47 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(definition_2_29,axiom,
( organization(X0)
| ~ dissimilar(X0,X1,X2) ) ).
cnf(definition_2_30,axiom,
( 'is$ualigned'(X0,X2)
| 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ) ).
cnf(definition_2_31,axiom,
( ~ 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ) ).
cnf(definition_2_33,axiom,
( dissimilar(X0,X1,X2)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ) ).
cnf(definition_2_34,axiom,
( dissimilar(X0,X2,X1)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ) ).
cnf(lemma_7_36,negated_conjecture,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ) ).
cnf(lemma_7_39,negated_conjecture,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ) ).
cnf(c0,plain,
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(clausification,[status(esa)],[definition_2_29]) ).
cnf(c1,plain,
( 'is$ualigned'(X0,X2)
| 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(clausification,[status(esa)],[definition_2_30]) ).
cnf(c2,plain,
( ~ 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ dissimilar(X0,X1,X2) ),
inference(clausification,[status(esa)],[definition_2_31]) ).
cnf(c4,plain,
( dissimilar(X0,X1,X2)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[definition_2_33]) ).
cnf(c5,plain,
( dissimilar(X0,X2,X1)
| 'is$ualigned'(X0,X2)
| ~ 'is$ualigned'(X0,X1)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[definition_2_34]) ).
cnf(c7,plain,
( dissimilar(sk1,sk3,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(clausification,[status(esa)],[lemma_7_36]) ).
cnf(c10,plain,
( ~ dissimilar(sk1,sk2,sk3)
| ~ dissimilar(sk1,sk3,sk2) ),
inference(clausification,[status(esa)],[lemma_7_39]) ).
cnf(d0,plain,
( ~ 'is$ualigned'(sk1,sk2)
| 'is$ualigned'(sk1,sk3)
| ~ organization(sk1)
| ~ dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[c10,c5]) ).
cnf(d1,plain,
( organization(sk1)
| dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[c7,c0]) ).
cnf(d2,plain,
( organization(sk1)
| organization(sk1) ),
inference(resolution,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
( 'is$ualigned'(sk1,sk3)
| ~ 'is$ualigned'(sk1,sk2)
| ~ dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
( ~ 'is$ualigned'(sk1,sk2)
| 'is$ualigned'(sk1,sk3)
| ~ organization(sk1)
| 'is$ualigned'(sk1,sk3)
| ~ 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( 'is$ualigned'(sk1,sk3)
| ~ 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d2,d4]) ).
cnf(d6,plain,
( 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk2)
| dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[c7,c1]) ).
cnf(d7,plain,
( 'is$ualigned'(sk1,sk2)
| 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
( ~ 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk2)
| ~ organization(sk1)
| ~ dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[c10,c4]) ).
cnf(d9,plain,
( ~ 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk2)
| ~ dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[d2,d8]) ).
cnf(d10,plain,
( ~ 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk2)
| ~ organization(sk1)
| ~ 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d9,c5]) ).
cnf(d11,plain,
( ~ 'is$ualigned'(sk1,sk3)
| 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d2,d10]) ).
cnf(d12,plain,
( 'is$ualigned'(sk1,sk2)
| 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
'is$ualigned'(sk1,sk3),
inference(resolution,[status(thm)],[d12,d5]) ).
cnf(d14,plain,
( ~ 'is$ualigned'(sk1,sk2)
| ~ 'is$ualigned'(sk1,sk3)
| dissimilar(sk1,sk2,sk3) ),
inference(resolution,[status(thm)],[c7,c2]) ).
cnf(d15,plain,
( ~ 'is$ualigned'(sk1,sk3)
| ~ 'is$ualigned'(sk1,sk2)
| ~ 'is$ualigned'(sk1,sk3)
| ~ 'is$ualigned'(sk1,sk2) ),
inference(resolution,[status(thm)],[d14,c2]) ).
cnf(d16,plain,
~ 'is$ualigned'(sk1,sk3),
inference(resolution,[status(thm)],[d12,d15]) ).
cnf(d17,plain,
$false,
inference(resolution,[status(thm)],[d16,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT053-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n016.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Sat Sep 26 00:14:59 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.99/2.04 % SZS status Unsatisfiable for theBenchmark.p
% 8.99/2.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------