%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : MGT059-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 08:03:01 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 13 unt; 0 def)
% Number of atoms : 21 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(assumption_2_37,axiom,
organization(sk1),
file('theBenchmark.p',assumption_2_37) ).
cnf(c_11,plain,
organization(sk1),
inference(clausify,[status(thm)],[assumption_2_37]) ).
fof(assumption_17_32,axiom,
! [VAR_0,VAR_1] :
( hazard_of_mortality(VAR_0,VAR_1) = very_low
| ~ has_immunity(VAR_0,VAR_1)
| ~ organization(VAR_0) ),
file('theBenchmark.p',assumption_17_32) ).
cnf(c_15,plain,
( hazard_of_mortality(A,B) = very_low
| ~ has_immunity(A,B)
| ~ organization(A) ),
inference(clausify,[status(thm)],[assumption_17_32]) ).
cnf(c_16,plain,
( hazard_of_mortality(sk1,A) = very_low
| ~ has_immunity(sk1,A) ),
inference(resolve,[status(thm)],[c_15,c_11]) ).
fof(assumption_2_38,axiom,
has_immunity(sk1,sk2),
file('theBenchmark.p',assumption_2_38) ).
cnf(c_24,plain,
has_immunity(sk1,sk2),
inference(clausify,[status(thm)],[assumption_2_38]) ).
fof(assumption_2_39,axiom,
has_immunity(sk1,sk3),
file('theBenchmark.p',assumption_2_39) ).
cnf(c_25,plain,
has_immunity(sk1,sk3),
inference(clausify,[status(thm)],[assumption_2_39]) ).
fof(assumption_2_40,axiom,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3),
file('theBenchmark.p',assumption_2_40) ).
cnf(c_26,plain,
hazard_of_mortality(sk1,sk2) != hazard_of_mortality(sk1,sk3),
inference(clausify,[status(thm)],[assumption_2_40]) ).
cnf(c_27,plain,
hazard_of_mortality(sk1,sk3) != hazard_of_mortality(sk1,sk2),
inference(copy,[status(thm)],[c_26]) ).
cnf(c_34,plain,
hazard_of_mortality(sk1,sk2) = very_low,
inference(resolve,[status(thm)],[c_24,c_16]) ).
cnf(c_35,plain,
hazard_of_mortality(sk1,sk3) != very_low,
inference(paramod,[status(thm)],[c_34,c_27]) ).
cnf(c_37,plain,
hazard_of_mortality(sk1,sk3) = very_low,
inference(resolve,[status(thm)],[c_25,c_16]) ).
cnf(c_36,plain,
$false,
inference(resolve,[status(thm)],[c_35,c_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT059-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n006.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 00:10:27 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 4096190 was started by sandbox2 on n006,
% 0.18/0.45 % Sat Sep 26 00:10:27 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.47
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47
% 0.18/0.47 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.18/0.47 % Length of proof is 10.
% 0.18/0.47 % Level of proof is 4.
% 0.18/0.47 % Maximum clause weight is 8.000.
% 0.18/0.47 % Given clauses 10.
% 0.18/0.47
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------