%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT036-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /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 : Thu Sep 24 01:25:46 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT036-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 01:22:15 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| subpopulations(C,B,A,D) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (![A,B]: (( ~ environment(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| in_environment(A,B) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (![A,B,C]: (( environment(A)| ~ greater(zero,growth_rate(B,C)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (![A,B,C,D]: (( subpopulations(A,B,C,D)| ~ greater(zero,growth_rate(A,D)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 (![A,B]: (( ~ greater_or_equal(growth_rate(A,B),zero)| ~ greater(zero,growth_rate(A,B)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,hypothesis,(
% 0.13/0.40 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| ~ outcompetes(C,B,D)| greater_or_equal(growth_rate(C,D),zero) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,hypothesis,(
% 0.13/0.40 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| ~ outcompetes(C,B,D)| greater(zero,growth_rate(B,D)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,hypothesis,(
% 0.13/0.40 greater(resilience(efficient_producers),resilience(first_movers)) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,hypothesis,(
% 0.13/0.40 (![A,B,C,D]: (( ~ environment(A)| ~ in_environment(A,B)| greater(zero,growth_rate(C,B))| ~ greater(resilience(D),resilience(C))| ~ greater(zero,growth_rate(D,B)) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,negated_conjecture,(
% 0.13/0.40 environment(sk1) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f13,negated_conjecture,(
% 0.13/0.40 subpopulations(first_movers,efficient_producers,sk1,sk2) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f14,negated_conjecture,(
% 0.13/0.40 outcompetes(first_movers,efficient_producers,sk2) ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|subpopulations(X2,X1,X0,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 (![A]: environment(A))|(![B,C]: ~greater(zero,growth_rate(B,C)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![X0,X1,X2]: (environment(X0)|~greater(zero,growth_rate(X1,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![A,D]: ((![B,C]: subpopulations(A,B,C,D))|~greater(zero,growth_rate(A,D)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (subpopulations(X0,X1,X2,X3)|~greater(zero,growth_rate(X0,X3)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f21,plain,(
% 0.13/0.40 ![X0,X1]: (~greater_or_equal(growth_rate(X0,X1),zero)|~greater(zero,growth_rate(X0,X1)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 ![C,D]: ((![B]: ((![A]: (~environment(A)|~subpopulations(B,C,A,D)))|~outcompetes(C,B,D)))|greater_or_equal(growth_rate(C,D),zero))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~outcompetes(X2,X1,X3)|greater_or_equal(growth_rate(X2,X3),zero))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ![B,D]: ((![C]: ((![A]: (~environment(A)|~subpopulations(B,C,A,D)))|~outcompetes(C,B,D)))|greater(zero,growth_rate(B,D)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~outcompetes(X2,X1,X3)|greater(zero,growth_rate(X1,X3)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 greater(resilience(efficient_producers),resilience(first_movers))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 ![B,D]: ((![C]: (((![A]: (~environment(A)|~in_environment(A,B)))|greater(zero,growth_rate(C,B)))|~greater(resilience(D),resilience(C))))|~greater(zero,growth_rate(D,B)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f11])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~in_environment(X0,X1)|greater(zero,growth_rate(X2,X1))|~greater(resilience(X3),resilience(X2))|~greater(zero,growth_rate(X3,X1)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f31])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 environment(sk1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 subpopulations(first_movers,efficient_producers,sk1,sk2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 outcompetes(first_movers,efficient_producers,sk2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f36,definition,(
% 0.13/0.40 ![X0]: (sQ0_spl <=> (environment(X0)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 ![X0]: (environment(X0)|~sQ0_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f36])).
% 0.13/0.40 fof(f39,definition,(
% 0.13/0.40 ![X1,X2]: (sQ1_spl <=> (~greater(zero,growth_rate(X1,X2))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 ![X0,X1]: (~greater(zero,growth_rate(X0,X1))|~sQ1_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f39])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f18,f36,f39])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~subpopulations(X0,X1,X2,X3)|subpopulations(X1,X0,X2,X3)|~sQ0_spl)),
% 0.13/0.40 inference(backward_subsumption_resolution,[status(thm)],[f15,f37])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~subpopulations(X0,X1,X2,X3)|~outcompetes(X1,X0,X3)|greater(zero,growth_rate(X0,X3))|~sQ0_spl)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f29,f37])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4,X5]: (~subpopulations(X0,X1,X2,X3)|~outcompetes(X1,X0,X3)|subpopulations(X0,X4,X5,X3)|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f45,f20])).
% 0.13/0.40 fof(f50,plain,(
% 0.13/0.40 ![X0,X1]: (~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1)|~sQ0_spl)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f16,f37])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 ![X0,X1]: (in_environment(X0,X1)|~subpopulations(efficient_producers,first_movers,X0,X1)|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f50,f43])).
% 0.13/0.40 fof(f62,definition,(
% 0.13/0.40 ![X2]: (sQ3_spl <=> (~subpopulations(efficient_producers,first_movers,X2,sk2)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 ![X0]: (~subpopulations(efficient_producers,first_movers,X0,sk2)|~sQ3_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f62])).
% 0.13/0.40 fof(f69,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~subpopulations(X0,X1,sk1,X2)|subpopulations(X1,X0,sk1,X2))),
% 0.13/0.40 inference(resolution,[status(thm)],[f15,f33])).
% 0.13/0.40 fof(f70,plain,(
% 0.13/0.40 ~subpopulations(first_movers,efficient_producers,sk1,sk2)|~sQ3_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f69,f63])).
% 0.13/0.40 fof(f71,plain,(
% 0.13/0.40 $false|~sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f70,f34])).
% 0.13/0.40 fof(f72,plain,(
% 0.13/0.40 ~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f71])).
% 0.13/0.40 fof(f73,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~outcompetes(X2,X1,X3)|~sQ1_spl)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f29,f40])).
% 0.13/0.40 fof(f74,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~subpopulations(X0,X1,sk1,X2)|~outcompetes(X1,X0,X2)|~sQ1_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f73,f33])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 ~subpopulations(efficient_producers,first_movers,sk1,sk2)|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f74,f35])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 ~subpopulations(first_movers,efficient_producers,sk1,sk2)|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f75,f69])).
% 0.13/0.40 fof(f77,plain,(
% 0.13/0.40 $false|~sQ1_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f76,f34])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 ~sQ1_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f77])).
% 0.13/0.40 fof(f81,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~subpopulations(X0,X1,X2,X3)|~outcompetes(X1,X0,X3)|greater_or_equal(growth_rate(X1,X3),zero)|~sQ0_spl)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f27,f37])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~subpopulations(efficient_producers,first_movers,X0,sk2)|subpopulations(efficient_producers,X1,X2,sk2)|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f46,f35])).
% 0.13/0.40 fof(f87,definition,(
% 0.13/0.40 ![X1,X2]: (sQ4_spl <=> (subpopulations(efficient_producers,X1,X2,sk2)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 ![X0,X1]: (subpopulations(efficient_producers,X0,X1,sk2)|~sQ4_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f87])).
% 0.13/0.40 fof(f90,plain,(
% 0.13/0.40 sQ3_spl|sQ4_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f86,f62,f87,f36])).
% 0.13/0.40 fof(f91,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~subpopulations(X0,X1,X2,X3)|~outcompetes(X1,X0,X3)|greater(zero,growth_rate(X0,X3))|~sQ0_spl)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f29,f37])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 ![X0]: (~subpopulations(efficient_producers,first_movers,X0,sk2)|greater(zero,growth_rate(efficient_producers,sk2))|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f91,f35])).
% 0.13/0.40 fof(f93,definition,(
% 0.13/0.40 sQ5_spl <=> (greater(zero,growth_rate(efficient_producers,sk2)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 greater(zero,growth_rate(efficient_producers,sk2))|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ3_spl|sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f92,f62,f93,f36])).
% 0.13/0.40 fof(f97,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~in_environment(X0,X1)|greater(zero,growth_rate(X2,X1))|~greater(resilience(X3),resilience(X2))|~greater(zero,growth_rate(X3,X1))|~sQ0_spl)),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f32,f37])).
% 0.13/0.40 fof(f100,plain,(
% 0.13/0.40 ![X0]: (in_environment(X0,sk2)|~sQ4_spl|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f88,f53])).
% 0.13/0.40 fof(f101,plain,(
% 0.13/0.40 ![X0,X1]: (~in_environment(X0,sk2)|greater(zero,growth_rate(X1,sk2))|~greater(resilience(efficient_producers),resilience(X1))|~sQ5_spl|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f94,f97])).
% 0.13/0.40 fof(f104,definition,(
% 0.13/0.40 ![X0]: (sQ6_spl <=> (~in_environment(X0,sk2)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f105,plain,(
% 0.13/0.40 ![X0]: (~in_environment(X0,sk2)|~sQ6_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f104])).
% 0.13/0.40 fof(f107,definition,(
% 0.13/0.40 ![X1]: (sQ7_spl <=> (greater(zero,growth_rate(X1,sk2))|~greater(resilience(efficient_producers),resilience(X1))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f108,plain,(
% 0.13/0.40 ![X0]: (greater(zero,growth_rate(X0,sk2))|~greater(resilience(efficient_producers),resilience(X0))|~sQ7_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f107])).
% 0.13/0.40 fof(f110,plain,(
% 0.13/0.40 sQ6_spl|sQ7_spl|~sQ5_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f101,f104,f107,f93,f36])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 $false|~sQ4_spl|~sQ0_spl|~sQ6_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f105,f100])).
% 0.13/0.40 fof(f112,plain,(
% 0.13/0.40 ~sQ4_spl|~sQ0_spl|~sQ6_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f111])).
% 0.13/0.40 fof(f119,plain,(
% 0.13/0.40 greater(zero,growth_rate(first_movers,sk2))|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f108,f30])).
% 0.13/0.40 fof(f121,plain,(
% 0.13/0.40 ~greater_or_equal(growth_rate(first_movers,sk2),zero)|~sQ7_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f119,f21])).
% 0.13/0.40 fof(f129,plain,(
% 0.13/0.40 ![X0,X1]: (~subpopulations(X0,first_movers,X1,sk2)|~outcompetes(first_movers,X0,sk2)|~sQ7_spl|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f121,f81])).
% 0.13/0.40 fof(f137,plain,(
% 0.13/0.40 ![X0]: (~subpopulations(efficient_producers,first_movers,X0,sk2)|~sQ7_spl|~sQ0_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f129,f35])).
% 0.13/0.40 fof(f138,plain,(
% 0.13/0.40 sQ3_spl|~sQ7_spl|~sQ0_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f137,f62,f107,f36])).
% 0.13/0.40 fof(f139,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f42,f72,f78,f90,f96,f110,f112,f138])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.046705 seconds
% 0.13/0.43 % CPU time: 0.124328 seconds
% 0.13/0.43 % Total memory used: 17.297 MB
% 0.13/0.43 % Net memory used: 16.902 MB
%------------------------------------------------------------------------------