%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT036-3 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 : Thu Sep 24 01:25:23 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 11 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 37 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C,D] :
( subpopulations(C,B,A,D)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,hypothesis,
! [A,B,C,D] :
( outcompetes(C,B,D)
| ~ greater(zero,growth_rate(B,D))
| ~ greater_or_equal(growth_rate(C,D),zero)
| ~ subpopulations(B,C,A,D)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
greater_or_equal(growth_rate(first_movers,sk2),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
greater(zero,growth_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [A,B] :
( ~ outcompetes(first_movers,efficient_producers,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [B,C,D] :
( outcompetes(C,B,D)
| ~ greater(zero,growth_rate(B,D))
| ~ greater_or_equal(growth_rate(C,D),zero)
| ! [A] :
( ~ subpopulations(B,C,A,D)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f17,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f18,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f19,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f20,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f21,plain,
! [B] :
( ~ outcompetes(first_movers,efficient_producers,B)
| ! [A] :
( ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f22,plain,
! [X0,X1] :
( ~ outcompetes(first_movers,efficient_producers,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( subpopulations(X1,X0,sk1,X2)
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[status(thm)],[f17,f10]) ).
fof(f24,plain,
! [X0,X1] :
( outcompetes(X1,efficient_producers,sk2)
| ~ greater_or_equal(growth_rate(X1,sk2),zero)
| ~ subpopulations(efficient_producers,X1,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f20,f12]) ).
fof(f25,plain,
! [X0] :
( outcompetes(X0,efficient_producers,sk2)
| ~ greater_or_equal(growth_rate(X0,sk2),zero)
| ~ subpopulations(efficient_producers,X0,sk1,sk2) ),
inference(resolution,[status(thm)],[f24,f17]) ).
fof(f26,plain,
! [X0] :
( ~ subpopulations(X0,efficient_producers,sk1,sk2)
| outcompetes(X0,efficient_producers,sk2)
| ~ greater_or_equal(growth_rate(X0,sk2),zero) ),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f27,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[status(thm)],[f26,f19]) ).
fof(f29,plain,
outcompetes(first_movers,efficient_producers,sk2),
inference(forward_subsumption_resolution,[status(thm)],[f27,f18]) ).
fof(f30,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f29,f22]) ).
fof(f33,plain,
~ subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(resolution,[status(thm)],[f30,f17]) ).
fof(f34,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f33,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT036-3 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n013.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 01:22:50 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.56 % Elapsed time: 0.092053 seconds
% 0.18/0.56 % CPU time: 0.095221 seconds
% 0.18/0.56 % Total memory used: 1.757 MB
% 0.18/0.56 % Net memory used: 1.756 MB
%------------------------------------------------------------------------------