%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MGT041-2 : TPTP v9.3.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 06:16:09 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 7 unt; 4 nHn; 22 RR)
% Number of literals : 49 ( 0 equ; 26 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mp_not_high_and_low_1,axiom,
( ~ number_of_routines(A,B,low)
| ~ number_of_routines(A,B,high) ) ).
cnf(a14_2,hypothesis,
( ~ organisation_at_time(A,B)
| ~ efficient_producer(A)
| ~ founding_time(A,B)
| has_elaborated_routines(A,B) ) ).
cnf(a15_3,hypothesis,
( ~ organisation_at_time(A,B)
| ~ first_mover(A)
| ~ founding_time(A,B)
| number_of_routines(A,B,low) ) ).
cnf(a16_4,hypothesis,
organisation_at_time(sk1,sk2) ).
cnf(a16_5,hypothesis,
founding_time(sk1,sk2) ).
cnf(a16_6,hypothesis,
number_of_routines(sk1,sk2,high) ).
cnf(a16_7,hypothesis,
~ has_elaborated_routines(sk1,sk2) ).
cnf(prove_t10_8,negated_conjecture,
( ~ organisation_at_time(A,B)
| first_mover(A)
| efficient_producer(A) ) ).
cnf(refute_0_0,plain,
( ~ efficient_producer(sk1)
| ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2)
| has_elaborated_routines(sk1,sk2) ),
inference(subst,[],[a14_2:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_1,plain,
( ~ efficient_producer(sk1)
| ~ founding_time(sk1,sk2)
| has_elaborated_routines(sk1,sk2) ),
inference(resolve,[$cnf( organisation_at_time(sk1,sk2) )],[a16_4,refute_0_0]) ).
cnf(refute_0_2,plain,
( ~ number_of_routines(sk1,sk2,high)
| ~ number_of_routines(sk1,sk2,low) ),
inference(subst,[],[mp_not_high_and_low_1:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_3,plain,
( ~ organisation_at_time(sk1,sk2)
| efficient_producer(sk1)
| first_mover(sk1) ),
inference(subst,[],[prove_t10_8:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_4,plain,
( efficient_producer(sk1)
| first_mover(sk1) ),
inference(resolve,[$cnf( organisation_at_time(sk1,sk2) )],[a16_4,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ first_mover(sk1)
| ~ founding_time(sk1,sk2)
| ~ organisation_at_time(sk1,sk2)
| number_of_routines(sk1,sk2,low) ),
inference(subst,[],[a15_3:[bind(A,$fot(sk1)),bind(B,$fot(sk2))]]) ).
cnf(refute_0_6,plain,
( ~ first_mover(sk1)
| ~ founding_time(sk1,sk2)
| number_of_routines(sk1,sk2,low) ),
inference(resolve,[$cnf( organisation_at_time(sk1,sk2) )],[a16_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ first_mover(sk1)
| number_of_routines(sk1,sk2,low) ),
inference(resolve,[$cnf( founding_time(sk1,sk2) )],[a16_5,refute_0_6]) ).
cnf(refute_0_8,plain,
( efficient_producer(sk1)
| number_of_routines(sk1,sk2,low) ),
inference(resolve,[$cnf( first_mover(sk1) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ number_of_routines(sk1,sk2,high)
| efficient_producer(sk1) ),
inference(resolve,[$cnf( number_of_routines(sk1,sk2,low) )],[refute_0_8,refute_0_2]) ).
cnf(refute_0_10,plain,
efficient_producer(sk1),
inference(resolve,[$cnf( number_of_routines(sk1,sk2,high) )],[a16_6,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ founding_time(sk1,sk2)
| has_elaborated_routines(sk1,sk2) ),
inference(resolve,[$cnf( efficient_producer(sk1) )],[refute_0_10,refute_0_1]) ).
cnf(refute_0_12,plain,
has_elaborated_routines(sk1,sk2),
inference(resolve,[$cnf( founding_time(sk1,sk2) )],[a16_5,refute_0_11]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( has_elaborated_routines(sk1,sk2) )],[refute_0_12,a16_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT041-2 : TPTP v9.3.0. Released v2.4.0.
% 0.00/0.04 % Command : metis --show proof --show saturation %s
% 0.09/0.35 % Computer : n019.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 13:03:22 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------