%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT049-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% 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 : Tue Sep 8 06:19:56 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.42s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 7 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 : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ organization(u)
| ~ equal(external_ties(u,v),external_ties(u,w))
| equal(position(u,v),position(u,w)) ),
file('MGT049-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ organization(u)
| equal(external_ties(u,v),external_ties(u,w)) ),
file('MGT049-1.p',unknown),
[] ).
cnf(4,axiom,
organization(sk1),
file('MGT049-1.p',unknown),
[] ).
cnf(6,axiom,
~ equal(position(sk1,sk2),position(sk1,sk3)),
file('MGT049-1.p',unknown),
[] ).
cnf(20,plain,
equal(external_ties(sk1,u),external_ties(sk1,v)),
inference(res,[status(thm),theory(equality)],[4,3]),
[iquote('0:Res:4.0,3.0')] ).
cnf(24,plain,
( ~ organization(sk1)
| ~ equal(external_ties(sk1,sk2),external_ties(sk1,sk3)) ),
inference(res,[status(thm),theory(equality)],[2,6]),
[iquote('0:Res:2.2,6.0')] ).
cnf(33,plain,
~ equal(external_ties(sk1,sk2),external_ties(sk1,sk3)),
inference(mrr,[status(thm)],[24,4]),
[iquote('0:MRR:24.0,4.0')] ).
cnf(34,plain,
$false,
inference(unc,[status(thm)],[33,20]),
[iquote('0:UnC:33.0,20.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT049-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : run_spass %d %s
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 7 13:21:02 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.42
% 0.14/0.42 SPASS V 3.9
% 0.14/0.42 SPASS beiseite: Proof found.
% 0.14/0.42 % SZS status Theorem
% 0.14/0.42 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42 SPASS derived 15 clauses, backtracked 0 clauses, performed 0 splits and kept 20 clauses.
% 0.14/0.42 SPASS allocated 75610 KBytes.
% 0.14/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.14/0.42 0:00:00.03 for the input.
% 0.14/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.14/0.42 0:00:00.00 for inferences.
% 0.14/0.42 0:00:00.00 for the backtracking.
% 0.14/0.42 0:00:00.00 for the reduction.
% 0.14/0.42
% 0.14/0.42
% 0.14/0.42 Here is a proof with depth 1, length 8 :
% 0.14/0.42 % SZS output start Refutation
% See solution above
% 0.14/0.42 Formulae used in the proof : assumption_6_31 assumption_11_32 lemma_6_33 lemma_6_35
% 0.14/0.42
%------------------------------------------------------------------------------