%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT059-1 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n005.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 06:16:13 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 9 unt; 0 nHn; 19 RR)
% Number of literals : 34 ( 22 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(assumption_17_32,axiom,
( ~ organization(A)
| ~ has_immunity(A,B)
| hazard_of_mortality(A,B) = very_low ) ).
cnf(assumption_2_37,negated_conjecture,
organization(sk1) ).
cnf(assumption_2_38,negated_conjecture,
has_immunity(sk1,sk2) ).
cnf(assumption_2_39,negated_conjecture,
has_immunity(sk1,sk3) ).
cnf(assumption_2_40,negated_conjecture,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3) ).
cnf(refute_0_0,plain,
( ~ has_immunity(sk1,sk2)
| ~ organization(sk1)
| hazard_of_mortality(sk1,sk2) = very_low ),
inference(subst,[],[assumption_17_32:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ organization(sk1)
| hazard_of_mortality(sk1,sk2) = very_low ),
inference(resolve,[$cnf( has_immunity(sk1,sk2) )],[assumption_2_38,refute_0_0]) ).
cnf(refute_0_2,plain,
hazard_of_mortality(sk1,sk2) = very_low,
inference(resolve,[$cnf( organization(sk1) )],[assumption_2_37,refute_0_1]) ).
cnf(refute_0_3,plain,
( hazard_of_mortality(sk1,sk2) != very_low
| very_low != hazard_of_mortality(sk1,sk3)
| hazard_of_mortality(sk1,sk2) = hazard_of_mortality(sk1,sk3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) ),[0],$fot(very_low)]]) ).
cnf(refute_0_4,plain,
( very_low != hazard_of_mortality(sk1,sk3)
| hazard_of_mortality(sk1,sk2) = hazard_of_mortality(sk1,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk2),very_low) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ has_immunity(sk1,sk3)
| ~ organization(sk1)
| hazard_of_mortality(sk1,sk3) = very_low ),
inference(subst,[],[assumption_17_32:[bind(A,$fot(sk1)),bind(B,$fot(sk3))]]) ).
cnf(refute_0_6,plain,
( ~ organization(sk1)
| hazard_of_mortality(sk1,sk3) = very_low ),
inference(resolve,[$cnf( has_immunity(sk1,sk3) )],[assumption_2_39,refute_0_5]) ).
cnf(refute_0_7,plain,
hazard_of_mortality(sk1,sk3) = very_low,
inference(resolve,[$cnf( organization(sk1) )],[assumption_2_37,refute_0_6]) ).
cnf(refute_0_8,plain,
( hazard_of_mortality(sk1,sk3) != very_low
| very_low != very_low
| very_low = hazard_of_mortality(sk1,sk3) ),
introduced(tautology,[equality,[$cnf( ~ $equal(very_low,hazard_of_mortality(sk1,sk3)) ),[1],$fot(very_low)]]) ).
cnf(refute_0_9,plain,
( very_low != very_low
| very_low = hazard_of_mortality(sk1,sk3) ),
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk3),very_low) )],[refute_0_7,refute_0_8]) ).
cnf(refute_0_10,plain,
( very_low != very_low
| hazard_of_mortality(sk1,sk2) = hazard_of_mortality(sk1,sk3) ),
inference(resolve,[$cnf( $equal(very_low,hazard_of_mortality(sk1,sk3)) )],[refute_0_9,refute_0_4]) ).
cnf(refute_0_11,plain,
very_low != very_low,
inference(resolve,[$cnf( $equal(hazard_of_mortality(sk1,sk2),hazard_of_mortality(sk1,sk3)) )],[refute_0_10,assumption_2_40]) ).
cnf(refute_0_12,plain,
very_low = very_low,
introduced(tautology,[refl,[$fot(very_low)]]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( $equal(very_low,very_low) )],[refute_0_12,refute_0_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT059-1 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.35 % Computer : n005.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 13:33:20 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.09/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37
% 0.09/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.09/0.37
%------------------------------------------------------------------------------