%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 : Fri Sep 25 02:11:52 PM UTC 2026
% Result : Theorem 25.79s 8.79s
% Output : Proof 25.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 9 unt; 0 def)
% Number of atoms : 78 ( 26 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 86 ( 26 ~; 25 |; 26 &)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn 12 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,T] :
( organization(X)
=> ( ( ~ has_immunity(X,T)
=> ( ( ( ~ positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = high )
& ( ( ~ positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod2 )
& ( ( positional_advantage(X,T)
& ~ is_aligned(X,T) )
=> hazard_of_mortality(X,T) = mod1 )
& ( ( positional_advantage(X,T)
& is_aligned(X,T) )
=> hazard_of_mortality(X,T) = low ) ) )
& ( has_immunity(X,T)
=> hazard_of_mortality(X,T) = very_low ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f6_nnf,plain,
! [X,T] :
( ( ( ( ( hazard_of_mortality(X,T) = high
| positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T)
| ~ is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod1
| ~ positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = low
| ~ positional_advantage(X,T)
| ~ is_aligned(X,T) ) )
| has_immunity(X,T) )
& ( hazard_of_mortality(X,T) = very_low
| ~ has_immunity(X,T) ) )
| ~ organization(X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X,T] :
( ( ( ( ( hazard_of_mortality(X,T) = high
| positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod2
| positional_advantage(X,T)
| ~ is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = mod1
| ~ positional_advantage(X,T)
| is_aligned(X,T) )
& ( hazard_of_mortality(X,T) = low
| ~ positional_advantage(X,T)
| ~ is_aligned(X,T) ) )
| has_immunity(X,T) )
& ( hazard_of_mortality(X,T) = very_low
| ~ has_immunity(X,T) ) )
| ~ organization(X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c11,plain,
( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
fof(f7,conjecture,
! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
fof(f7_neg,negated_conjecture,
~ ! [X,T0,T] :
( ( has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) )
=> hazard_of_mortality(X,T0) = hazard_of_mortality(X,T) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f7_nnf,plain,
? [X,T0,T] :
( hazard_of_mortality(X,T0) != hazard_of_mortality(X,T)
& has_immunity(X,T)
& has_immunity(X,T0)
& organization(X) ),
inference(nnf_transformation,[status(thm)],[f7_neg]) ).
fof(f7_sk,plain,
( hazard_of_mortality(sk0,sk1) != hazard_of_mortality(sk0,sk2)
& has_immunity(sk0,sk2)
& has_immunity(sk0,sk1)
& organization(sk0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk0,sk1,sk2])],[f7_nnf]) ).
cnf(c16,plain,
organization(sk0),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p26,plain,
( hazard_of_mortality(sk0,X0) = very_low
| ~ has_immunity(sk0,X0) ),
inference(resolution,[status(thm)],[c11,c16]) ).
cnf(c18,plain,
has_immunity(sk0,sk2),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p29,plain,
hazard_of_mortality(sk0,sk2) = very_low,
inference(resolution,[status(thm)],[p26,c18]) ).
cnf(c17,plain,
has_immunity(sk0,sk1),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p27,plain,
hazard_of_mortality(sk0,sk1) = very_low,
inference(resolution,[status(thm)],[p26,c17]) ).
cnf(c19,plain,
hazard_of_mortality(sk0,sk1) != hazard_of_mortality(sk0,sk2),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p28,plain,
very_low != hazard_of_mortality(sk0,sk2),
inference(demodulation,[status(thm)],[p27,c19]) ).
cnf(p30,plain,
very_low != very_low,
inference(demodulation,[status(thm)],[p29,p28]) ).
cnf(p31,plain,
$false,
inference(equality_resolution,[status(thm)],[p30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.37 % Computer : n009.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Thu Sep 24 01:16:05 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 25.79/8.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 25.79/8.79 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------