%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MGT049-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 08:01:22 AM UTC 2026
% Result : Unsatisfiable 16.04s 7.58s
% Output : CNFRefutation 16.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 22 ( 14 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 12 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_6_31,axiom,
( position(X0,X1) = position(X0,X2)
| 'external$uties'(X0,X1) != 'external$uties'(X0,X2)
| ~ organization(X0) ) ).
cnf(assumption_11_32,axiom,
( 'external$uties'(X0,X1) = 'external$uties'(X0,X2)
| ~ organization(X0) ) ).
cnf(lemma_6_33,negated_conjecture,
organization(sk1) ).
cnf(lemma_6_35,negated_conjecture,
position(sk1,sk3) != position(sk1,sk2) ).
cnf(c1,plain,
( position(X0,X1) = position(X0,X2)
| 'external$uties'(X0,X1) != 'external$uties'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_6_31]) ).
cnf(c2,plain,
( 'external$uties'(X0,X1) = 'external$uties'(X0,X2)
| ~ organization(X0) ),
inference(clausification,[status(esa)],[assumption_11_32]) ).
cnf(c3,plain,
organization(sk1),
inference(clausification,[status(esa)],[lemma_6_33]) ).
cnf(c5,plain,
position(sk1,sk3) != position(sk1,sk2),
inference(clausification,[status(esa)],[lemma_6_35]) ).
cnf(d0,plain,
'external$uties'(sk1,X0) = 'external$uties'(sk1,X1),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(d1,plain,
( ~ organization(sk1)
| position(sk1,X2) = position(sk1,X0)
| 'external$uties'(sk1,X2) != 'external$uties'(sk1,X1) ),
inference(superposition,[status(thm)],[d0,c1]) ).
cnf(d2,plain,
( position(sk1,X0) = position(sk1,X2)
| 'external$uties'(sk1,X0) != 'external$uties'(sk1,X1) ),
inference(resolution,[status(thm)],[c3,d1]) ).
cnf(d3,plain,
position(sk1,X0) = position(sk1,X1),
inference(resolution,[status(thm)],[d0,d2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,c5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT049-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n011.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Sat Sep 26 00:09:34 UTC 2026
% 0.17/5.46 % CPUTime :
% 0.17/5.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.04/7.58 % SZS status Unsatisfiable for theBenchmark.p
% 16.04/7.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------