%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MGT021-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 01:25:17 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 172 ( 92 ~; 80 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] :
( in_environment(A,B)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] :
( greater(number_of_organizations(A,B),zero)
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] :
( ~ decreases(A)
| ~ increases(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [A,B] :
( decreases(resources(A,B))
| ~ greater(equilibrium(A),B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [A,B] :
( constant(resources(A,B))
| greater(equilibrium(A),B)
| ~ greater(number_of_organizations(A,B),zero)
| ~ in_environment(A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [A,B] :
( increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ decreases(resources(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
! [A,B] :
( ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ~ constant(resources(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f14,plain,
! [X0] :
( ~ decreases(X0)
| ~ increases(X0) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f16,plain,
! [X0,X1] :
( decreases(resources(X0,X1))
| ~ greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f17,plain,
! [X0,X1] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f18,plain,
! [B] :
( increases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ! [A] :
( ~ decreases(resources(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f19,plain,
! [X0,X1] :
( increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
! [B] :
( ~ decreases(difference(disbanding_rate(first_movers,B),disbanding_rate(efficient_producers,B)))
| ! [A] :
( ~ constant(resources(A,B))
| ~ subpopulations(first_movers,efficient_producers,A,B)
| ~ environment(A) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f21,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ constant(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f22,plain,
environment(sk1),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f23,plain,
subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f24,plain,
decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f25,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ decreases(resources(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f19,f14]) ).
fof(f26,plain,
! [X0] :
( ~ constant(resources(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f21,f24]) ).
fof(f27,plain,
! [X0] :
( greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ in_environment(X0,sk2)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f26,f17]) ).
fof(f28,plain,
! [X0] :
( greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ in_environment(X0,sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f27]) ).
fof(f29,plain,
! [X0] :
( greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f28,f12]) ).
fof(f30,plain,
! [X0] :
( greater(equilibrium(X0),sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f13]) ).
fof(f31,plain,
! [X0] :
( ~ decreases(resources(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f25,f24]) ).
fof(f32,plain,
! [X0] :
( ~ greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ in_environment(X0,sk2)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[status(thm)],[f31,f16]) ).
fof(f33,plain,
! [X0] :
( ~ greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ in_environment(X0,sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f32]) ).
fof(f34,plain,
! [X0] :
( ~ greater(equilibrium(X0),sk2)
| ~ greater(number_of_organizations(X0,sk2),zero)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f33,f12]) ).
fof(f35,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f30,f36]) ).
fof(f36,plain,
! [X0] :
( ~ greater(equilibrium(X0),sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f34,f13]) ).
fof(f55,plain,
~ subpopulations(first_movers,efficient_producers,sk1,sk2),
inference(resolution,[status(thm)],[f35,f22]) ).
fof(f56,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f55,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT021-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 01:16:56 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.047457 seconds
% 0.13/0.40 % CPU time: 0.123972 seconds
% 0.13/0.40 % Total memory used: 55.138 MB
% 0.13/0.40 % Net memory used: 54.858 MB
%------------------------------------------------------------------------------