%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MGT059-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 06:19:58 AM UTC 2026
% Result : Unsatisfiable 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 14 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ organization(u)
| ~ has_immunity(u,v)
| equal(hazard_of_mortality(u,v),very_low) ),
file('MGT059-1.p',unknown),
[] ).
cnf(6,axiom,
organization(sk1),
file('MGT059-1.p',unknown),
[] ).
cnf(7,axiom,
has_immunity(sk1,sk2),
file('MGT059-1.p',unknown),
[] ).
cnf(8,axiom,
has_immunity(sk1,sk3),
file('MGT059-1.p',unknown),
[] ).
cnf(9,axiom,
~ equal(hazard_of_mortality(sk1,sk3),hazard_of_mortality(sk1,sk2)),
file('MGT059-1.p',unknown),
[] ).
cnf(26,plain,
( ~ organization(sk1)
| equal(hazard_of_mortality(sk1,sk3),very_low) ),
inference(res,[status(thm),theory(equality)],[8,1]),
[iquote('0:Res:8.0,1.1')] ).
cnf(27,plain,
( ~ organization(sk1)
| equal(hazard_of_mortality(sk1,sk2),very_low) ),
inference(res,[status(thm),theory(equality)],[7,1]),
[iquote('0:Res:7.0,1.1')] ).
cnf(34,plain,
equal(hazard_of_mortality(sk1,sk3),very_low),
inference(mrr,[status(thm)],[26,6]),
[iquote('0:MRR:26.0,6.0')] ).
cnf(35,plain,
~ equal(hazard_of_mortality(sk1,sk2),very_low),
inference(rew,[status(thm),theory(equality)],[34,9]),
[iquote('0:Rew:34.0,9.0')] ).
cnf(36,plain,
$false,
inference(mrr,[status(thm)],[27,6,35]),
[iquote('0:MRR:27.0,27.1,6.0,35.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT059-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.03 % Command : run_spass %d %s
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 7 13:31:11 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.23/0.48
% 0.23/0.48 SPASS V 3.9
% 0.23/0.48 SPASS beiseite: Proof found.
% 0.23/0.48 % SZS status Theorem
% 0.23/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.48 SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses.
% 0.23/0.48 SPASS allocated 75612 KBytes.
% 0.23/0.48 SPASS spent 0:00:00.10 on the problem.
% 0.23/0.48 0:00:00.06 for the input.
% 0.23/0.48 0:00:00.00 for the FLOTTER CNF translation.
% 0.23/0.48 0:00:00.00 for inferences.
% 0.23/0.48 0:00:00.00 for the backtracking.
% 0.23/0.48 0:00:00.00 for the reduction.
% 0.23/0.48
% 0.23/0.48
% 0.23/0.48 Here is a proof with depth 1, length 10 :
% 0.23/0.48 % SZS output start Refutation
% See solution above
% 0.23/0.48 Formulae used in the proof : assumption_17_32 assumption_2_37 assumption_2_38 assumption_2_39 assumption_2_40
% 0.23/0.48
%------------------------------------------------------------------------------