%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT036+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 : Theorem 0.09s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT036+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 01:25:22 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.40 fof(f1,axiom,(
% 0.09/0.40 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> subpopulations(efficient_producers,first_movers,E,T) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f2,axiom,(
% 0.09/0.40 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> in_environment(E,T) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f3,axiom,(
% 0.09/0.40 (! [E,S1,S2,T] :( ( ( environment(E)& subpopulations(S1,S2,E,T) )=> greater_or_equal(growth_rate(S1,T),zero) )<=> ~ greater(zero,growth_rate(S1,T)) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f4,hypothesis,(
% 0.09/0.40 (! [E,S1,S2,T] :( ( environment(E)& subpopulations(S1,S2,E,T) )=> ( ( greater_or_equal(growth_rate(S2,T),zero)& greater(zero,growth_rate(S1,T)) )<=> outcompetes(S2,S1,T) ) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f5,hypothesis,(
% 0.09/0.40 (! [E,S1,S2,T] :( ( environment(E)& in_environment(E,T)& ~ greater(zero,growth_rate(S1,T))& greater(resilience(S2),resilience(S1)) )=> ~ greater(zero,growth_rate(S2,T)) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f6,hypothesis,(
% 0.09/0.40 greater(resilience(efficient_producers),resilience(first_movers)) ),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f7,conjecture,(
% 0.09/0.40 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> ~ outcompetes(first_movers,efficient_producers,T) ) )),
% 0.09/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.40 fof(f8,negated_conjecture,(
% 0.09/0.40 ~((! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> ~ outcompetes(first_movers,efficient_producers,T) ) ))),
% 0.09/0.40 inference(negated_conjecture,[status(cth)],[f7])).
% 0.09/0.40 fof(f9,plain,(
% 0.09/0.40 ![E,T]: ((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|subpopulations(efficient_producers,first_movers,E,T))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.09/0.40 fof(f10,plain,(
% 0.09/0.40 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|subpopulations(efficient_producers,first_movers,X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f9])).
% 0.09/0.40 fof(f11,plain,(
% 0.09/0.40 ![E,T]: ((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|in_environment(E,T))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.09/0.40 fof(f12,plain,(
% 0.09/0.40 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.40 fof(f13,plain,(
% 0.09/0.40 ![E,S1,S2,T]: (((~environment(E)|~subpopulations(S1,S2,E,T))|greater_or_equal(growth_rate(S1,T),zero))<=>~greater(zero,growth_rate(S1,T)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.09/0.40 fof(f14,plain,(
% 0.09/0.40 ![E,S1,S2,T]: ((((environment(E)&subpopulations(S1,S2,E,T))&~greater_or_equal(growth_rate(S1,T),zero))|~greater(zero,growth_rate(S1,T)))&(((~environment(E)|~subpopulations(S1,S2,E,T))|greater_or_equal(growth_rate(S1,T),zero))|greater(zero,growth_rate(S1,T))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f13])).
% 0.09/0.40 fof(f15,plain,(
% 0.09/0.40 (![S1,T]: ((((![E]: environment(E))&(![E,S2]: subpopulations(S1,S2,E,T)))&~greater_or_equal(growth_rate(S1,T),zero))|~greater(zero,growth_rate(S1,T))))&(![S1,T]: (((![E]: (~environment(E)|(![S2]: ~subpopulations(S1,S2,E,T))))|greater_or_equal(growth_rate(S1,T),zero))|greater(zero,growth_rate(S1,T))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f14])).
% 0.09/0.40 fof(f16,plain,(
% 0.09/0.40 ![X0,X1,X2]: (environment(X0)|~greater(zero,growth_rate(X1,X2)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f18,plain,(
% 0.09/0.40 ![X0,X1]: (~greater_or_equal(growth_rate(X0,X1),zero)|~greater(zero,growth_rate(X0,X1)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f15])).
% 0.09/0.40 fof(f20,plain,(
% 0.09/0.40 ![E,S1,S2,T]: ((~environment(E)|~subpopulations(S1,S2,E,T))|((greater_or_equal(growth_rate(S2,T),zero)&greater(zero,growth_rate(S1,T)))<=>outcompetes(S2,S1,T)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.09/0.40 fof(f21,plain,(
% 0.09/0.40 ![E,S1,S2,T]: ((~environment(E)|~subpopulations(S1,S2,E,T))|(((~greater_or_equal(growth_rate(S2,T),zero)|~greater(zero,growth_rate(S1,T)))|outcompetes(S2,S1,T))&((greater_or_equal(growth_rate(S2,T),zero)&greater(zero,growth_rate(S1,T)))|~outcompetes(S2,S1,T))))),
% 0.09/0.40 inference(NNF_transformation,[status(thm)],[f20])).
% 0.09/0.40 fof(f22,plain,(
% 0.09/0.40 ![S1,S2,T]: ((![E]: (~environment(E)|~subpopulations(S1,S2,E,T)))|(((~greater_or_equal(growth_rate(S2,T),zero)|~greater(zero,growth_rate(S1,T)))|outcompetes(S2,S1,T))&((greater_or_equal(growth_rate(S2,T),zero)&greater(zero,growth_rate(S1,T)))|~outcompetes(S2,S1,T))))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f21])).
% 0.09/0.40 fof(f24,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|greater_or_equal(growth_rate(X2,X3),zero)|~outcompetes(X2,X1,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f25,plain,(
% 0.09/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|greater(zero,growth_rate(X1,X3))|~outcompetes(X2,X1,X3))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.09/0.40 fof(f26,plain,(
% 0.09/0.40 ![E,S1,S2,T]: ((((~environment(E)|~in_environment(E,T))|greater(zero,growth_rate(S1,T)))|~greater(resilience(S2),resilience(S1)))|~greater(zero,growth_rate(S2,T)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.09/0.40 fof(f27,plain,(
% 0.09/0.40 ![S2,T]: ((![S1]: (((![E]: (~environment(E)|~in_environment(E,T)))|greater(zero,growth_rate(S1,T)))|~greater(resilience(S2),resilience(S1))))|~greater(zero,growth_rate(S2,T)))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f26])).
% 0.09/0.40 fof(f28,plain,(
% 0.09/0.40 ![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)))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.09/0.40 fof(f29,plain,(
% 0.09/0.40 greater(resilience(efficient_producers),resilience(first_movers))),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.40 fof(f30,plain,(
% 0.09/0.40 (?[E,T]: ((environment(E)&subpopulations(first_movers,efficient_producers,E,T))&outcompetes(first_movers,efficient_producers,T)))),
% 0.09/0.40 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.09/0.40 fof(f31,plain,(
% 0.09/0.40 ?[T]: ((?[E]: (environment(E)&subpopulations(first_movers,efficient_producers,E,T)))&outcompetes(first_movers,efficient_producers,T))),
% 0.09/0.40 inference(miniscoping,[status(thm)],[f30])).
% 0.09/0.40 fof(f32,plain,(
% 0.09/0.40 ((environment(sK1_skl)&subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl))&outcompetes(first_movers,efficient_producers,sK0_skl))),
% 0.09/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl),skolemize(E,sK1_skl)],[f31])).
% 0.09/0.40 fof(f33,plain,(
% 0.09/0.40 environment(sK1_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f34,plain,(
% 0.09/0.40 subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f35,plain,(
% 0.09/0.40 outcompetes(first_movers,efficient_producers,sK0_skl)),
% 0.09/0.40 inference(cnf_transformation,[status(thm)],[f32])).
% 0.09/0.40 fof(f36,definition,(
% 0.09/0.40 ![X0]: (sQ0_spl <=> (environment(X0)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f37,plain,(
% 0.09/0.40 ![X0]: (environment(X0)|~sQ0_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f36])).
% 0.09/0.40 fof(f39,definition,(
% 0.09/0.40 ![X1,X2]: (sQ1_spl <=> (~greater(zero,growth_rate(X1,X2))))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f40,plain,(
% 0.09/0.40 ![X0,X1]: (~greater(zero,growth_rate(X0,X1))|~sQ1_spl)),
% 0.09/0.40 inference(component_clause,[status(thm)],[f39])).
% 0.09/0.40 fof(f42,plain,(
% 0.09/0.40 sQ0_spl|sQ1_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f16,f36,f39])).
% 0.09/0.40 fof(f50,definition,(
% 0.09/0.40 sQ3_spl <=> (greater(zero,growth_rate(first_movers,sK0_skl)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f51,plain,(
% 0.09/0.40 greater(zero,growth_rate(first_movers,sK0_skl))|~sQ3_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f50])).
% 0.09/0.40 fof(f59,definition,(
% 0.09/0.40 sQ5_spl <=> (environment(sK1_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f61,plain,(
% 0.09/0.40 ~environment(sK1_skl)|sQ5_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f59])).
% 0.09/0.40 fof(f65,plain,(
% 0.09/0.40 $false|sQ5_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f61,f33])).
% 0.09/0.40 fof(f66,plain,(
% 0.09/0.40 sQ5_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f65])).
% 0.09/0.40 fof(f68,plain,(
% 0.09/0.40 ~environment(sK1_skl)|in_environment(sK1_skl,sK0_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f12,f34])).
% 0.09/0.40 fof(f69,definition,(
% 0.09/0.40 sQ6_spl <=> (in_environment(sK1_skl,sK0_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f70,plain,(
% 0.09/0.40 in_environment(sK1_skl,sK0_skl)|~sQ6_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f69])).
% 0.09/0.40 fof(f72,plain,(
% 0.09/0.40 ~sQ5_spl|sQ6_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f68,f59,f69])).
% 0.09/0.40 fof(f73,plain,(
% 0.09/0.40 ~environment(sK1_skl)|subpopulations(efficient_producers,first_movers,sK1_skl,sK0_skl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f10,f34])).
% 0.09/0.40 fof(f74,definition,(
% 0.09/0.40 sQ7_spl <=> (subpopulations(efficient_producers,first_movers,sK1_skl,sK0_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f75,plain,(
% 0.09/0.40 subpopulations(efficient_producers,first_movers,sK1_skl,sK0_skl)|~sQ7_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f74])).
% 0.09/0.40 fof(f77,plain,(
% 0.09/0.40 ~sQ5_spl|sQ7_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f73,f59,f74])).
% 0.09/0.40 fof(f80,definition,(
% 0.09/0.40 sQ8_spl <=> (greater_or_equal(growth_rate(first_movers,sK0_skl),zero))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f81,plain,(
% 0.09/0.40 greater_or_equal(growth_rate(first_movers,sK0_skl),zero)|~sQ8_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f80])).
% 0.09/0.40 fof(f94,plain,(
% 0.09/0.40 ~environment(sK1_skl)|greater_or_equal(growth_rate(first_movers,sK0_skl),zero)|~outcompetes(first_movers,efficient_producers,sK0_skl)|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f75,f24])).
% 0.09/0.40 fof(f95,definition,(
% 0.09/0.40 sQ11_spl <=> (greater(zero,growth_rate(efficient_producers,sK0_skl)))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f96,plain,(
% 0.09/0.40 greater(zero,growth_rate(efficient_producers,sK0_skl))|~sQ11_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f95])).
% 0.09/0.40 fof(f99,definition,(
% 0.09/0.40 sQ12_spl <=> (outcompetes(first_movers,efficient_producers,sK0_skl))),
% 0.09/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.09/0.40 fof(f101,plain,(
% 0.09/0.40 ~outcompetes(first_movers,efficient_producers,sK0_skl)|sQ12_spl),
% 0.09/0.40 inference(component_clause,[status(thm)],[f99])).
% 0.09/0.40 fof(f102,plain,(
% 0.09/0.40 ~sQ5_spl|sQ8_spl|~sQ12_spl|~sQ7_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f94,f59,f80,f99,f74])).
% 0.09/0.40 fof(f131,plain,(
% 0.09/0.40 ~environment(sK1_skl)|greater(zero,growth_rate(efficient_producers,sK0_skl))|~outcompetes(first_movers,efficient_producers,sK0_skl)|~sQ7_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f25,f75])).
% 0.09/0.40 fof(f133,plain,(
% 0.09/0.40 ~sQ5_spl|sQ11_spl|~sQ12_spl|~sQ7_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f131,f59,f95,f99,f74])).
% 0.09/0.40 fof(f175,plain,(
% 0.09/0.40 $false|~sQ1_spl|~sQ11_spl),
% 0.09/0.40 inference(backward_subsumption_resolution,[status(thm)],[f96,f40])).
% 0.09/0.40 fof(f176,plain,(
% 0.09/0.40 ~sQ1_spl|~sQ11_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f175])).
% 0.09/0.40 fof(f177,plain,(
% 0.09/0.40 $false|sQ12_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f101,f35])).
% 0.09/0.40 fof(f178,plain,(
% 0.09/0.40 sQ12_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f177])).
% 0.09/0.40 fof(f216,plain,(
% 0.09/0.40 ![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)),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f28,f37])).
% 0.09/0.40 fof(f220,plain,(
% 0.09/0.40 ~greater_or_equal(growth_rate(first_movers,sK0_skl),zero)|~sQ3_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f18,f51])).
% 0.09/0.40 fof(f222,plain,(
% 0.09/0.40 $false|~sQ8_spl|~sQ3_spl),
% 0.09/0.40 inference(forward_subsumption_resolution,[status(thm)],[f220,f81])).
% 0.09/0.40 fof(f223,plain,(
% 0.09/0.40 ~sQ8_spl|~sQ3_spl),
% 0.09/0.40 inference(contradiction_clause,[status(thm)],[f222])).
% 0.09/0.40 fof(f232,plain,(
% 0.09/0.40 ![X0,X1]: (greater(zero,growth_rate(X0,sK0_skl))|~greater(resilience(X1),resilience(X0))|~greater(zero,growth_rate(X1,sK0_skl))|~sQ6_spl|~sQ0_spl)),
% 0.09/0.40 inference(resolution,[status(thm)],[f70,f216])).
% 0.09/0.40 fof(f233,plain,(
% 0.09/0.40 greater(zero,growth_rate(first_movers,sK0_skl))|~greater(zero,growth_rate(efficient_producers,sK0_skl))|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(resolution,[status(thm)],[f232,f29])).
% 0.09/0.40 fof(f234,plain,(
% 0.09/0.40 sQ3_spl|~sQ11_spl|~sQ6_spl|~sQ0_spl),
% 0.09/0.40 inference(split_clause,[status(thm)],[f233,f50,f95,f69,f36])).
% 0.09/0.40 fof(f235,plain,(
% 0.09/0.40 $false),
% 0.09/0.40 inference(sat_refutation,[status(thm)],[f42,f66,f72,f77,f102,f133,f176,f178,f223,f234])).
% 0.09/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.048152 seconds
% 0.14/0.42 % CPU time: 0.131450 seconds
% 0.14/0.42 % Total memory used: 10.406 MB
% 0.14/0.42 % Net memory used: 10.225 MB
%------------------------------------------------------------------------------