%------------------------------------------------------------------------------
% 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 : 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 06:19:57 AM UTC 2026
% Result : Theorem 0.12s 0.43s
% Output : Refutation 0.12s
% 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(skc3),
file('MGT059+1.p',unknown),
[] ).
cnf(2,axiom,
has_immunity(skc3,skc5),
file('MGT059+1.p',unknown),
[] ).
cnf(3,axiom,
has_immunity(skc3,skc4),
file('MGT059+1.p',unknown),
[] ).
cnf(10,axiom,
~ equal(hazard_of_mortality(skc3,skc5),hazard_of_mortality(skc3,skc4)),
file('MGT059+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ organization(u)
| ~ has_immunity(u,v)
| equal(hazard_of_mortality(u,v),very_low) ),
file('MGT059+1.p',unknown),
[] ).
cnf(26,plain,
( ~ organization(skc3)
| equal(hazard_of_mortality(skc3,skc4),very_low) ),
inference(res,[status(thm),theory(equality)],[3,16]),
[iquote('0:Res:3.0,16.1')] ).
cnf(27,plain,
( ~ organization(skc3)
| equal(hazard_of_mortality(skc3,skc5),very_low) ),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.1')] ).
cnf(34,plain,
equal(hazard_of_mortality(skc3,skc4),very_low),
inference(mrr,[status(thm)],[26,1]),
[iquote('0:MRR:26.0,1.0')] ).
cnf(35,plain,
~ equal(hazard_of_mortality(skc3,skc5),very_low),
inference(rew,[status(thm),theory(equality)],[34,10]),
[iquote('0:Rew:34.0,10.0')] ).
cnf(36,plain,
$false,
inference(mrr,[status(thm)],[27,1,35]),
[iquote('0:MRR:27.0,27.1,1.0,35.0')] ).
%------------------------------------------------------------------------------
%----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
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 7 13:37:02 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.12/0.43
% 0.12/0.43 SPASS V 3.9
% 0.12/0.43 SPASS beiseite: Proof found.
% 0.12/0.43 % SZS status Theorem
% 0.12/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43 SPASS derived 14 clauses, backtracked 0 clauses, performed 0 splits and kept 22 clauses.
% 0.12/0.43 SPASS allocated 97625 KBytes.
% 0.12/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.12/0.43 0:00:00.03 for the input.
% 0.12/0.43 0:00:00.02 for the FLOTTER CNF translation.
% 0.12/0.43 0:00:00.00 for inferences.
% 0.12/0.43 0:00:00.00 for the backtracking.
% 0.12/0.43 0:00:00.00 for the reduction.
% 0.12/0.43
% 0.12/0.43
% 0.12/0.43 Here is a proof with depth 1, length 10 :
% 0.12/0.43 % SZS output start Refutation
% See solution above
% 0.12/0.43 Formulae used in the proof : assumption_2 assumption_17
% 0.12/0.43
%------------------------------------------------------------------------------