%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT032+2 : 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 : n005.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 01:25:44 PM UTC 2026
% Result : Theorem 0.12s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT032+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n005.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 21 01:21:48 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.38 fof(f1,axiom,(
% 0.12/0.38 (! [E,S1,S2,T] :( ( environment(E)& subpopulations(S1,S2,E,T)& greater(growth_rate(S2,T),growth_rate(S1,T)) )=> selection_favors(S2,S1,T) ) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f2,hypothesis,(
% 0.12/0.38 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f3,conjecture,(
% 0.12/0.38 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> selection_favors(efficient_producers,first_movers,T) ) )) )) )),
% 0.12/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.12/0.38 fof(f4,negated_conjecture,(
% 0.12/0.38 ~((! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(T,To) )=> selection_favors(efficient_producers,first_movers,T) ) )) )) ))),
% 0.12/0.38 inference(negated_conjecture,[status(cth)],[f3])).
% 0.12/0.38 fof(f5,plain,(
% 0.12/0.38 ![E,S1,S2,T]: (((~environment(E)|~subpopulations(S1,S2,E,T))|~greater(growth_rate(S2,T),growth_rate(S1,T)))|selection_favors(S2,S1,T))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.38 fof(f6,plain,(
% 0.12/0.38 ![S1,S2,T]: (((![E]: (~environment(E)|~subpopulations(S1,S2,E,T)))|~greater(growth_rate(S2,T),growth_rate(S1,T)))|selection_favors(S2,S1,T))),
% 0.12/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.12/0.38 fof(f7,plain,(
% 0.12/0.38 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~greater(growth_rate(X2,X3),growth_rate(X1,X3))|selection_favors(X2,X1,X3))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.38 fof(f8,plain,(
% 0.12/0.38 ![E]: ((~environment(E)|~stable(E))|(?[To]: (in_environment(E,To)&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.38 fof(f9,plain,(
% 0.12/0.38 ![E]: ((~environment(E)|~stable(E))|(in_environment(E,sK0_skl(E))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater_or_equal(T,sK0_skl(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(To,sK0_skl(E))],[f8])).
% 0.12/0.38 fof(f10,plain,(
% 0.12/0.38 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sK0_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f11,plain,(
% 0.12/0.38 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sK0_skl(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.12/0.38 fof(f12,plain,(
% 0.12/0.38 (?[E]: ((environment(E)&stable(E))&(![To]: (~in_environment(E,To)|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater_or_equal(T,To))&~selection_favors(efficient_producers,first_movers,T)))))))),
% 0.12/0.38 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.12/0.38 fof(f13,plain,(
% 0.12/0.38 ((environment(sK1_skl)&stable(sK1_skl))&(![To]: (~in_environment(sK1_skl,To)|((subpopulations(first_movers,efficient_producers,sK1_skl,sK2_skl(To))&greater_or_equal(sK2_skl(To),To))&~selection_favors(efficient_producers,first_movers,sK2_skl(To))))))),
% 0.12/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(E,sK1_skl),skolemize(T,sK2_skl(To))],[f12])).
% 0.12/0.38 fof(f14,plain,(
% 0.12/0.38 environment(sK1_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f15,plain,(
% 0.12/0.38 stable(sK1_skl)),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f16,plain,(
% 0.12/0.38 ![X0]: (~in_environment(sK1_skl,X0)|subpopulations(first_movers,efficient_producers,sK1_skl,sK2_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f17,plain,(
% 0.12/0.38 ![X0]: (~in_environment(sK1_skl,X0)|greater_or_equal(sK2_skl(X0),X0))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f18,plain,(
% 0.12/0.38 ![X0]: (~in_environment(sK1_skl,X0)|~selection_favors(efficient_producers,first_movers,sK2_skl(X0)))),
% 0.12/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.12/0.38 fof(f19,plain,(
% 0.12/0.38 ~environment(sK1_skl)|in_environment(sK1_skl,sK0_skl(sK1_skl))),
% 0.12/0.38 inference(resolution,[status(thm)],[f15,f10])).
% 0.12/0.38 fof(f20,plain,(
% 0.12/0.38 in_environment(sK1_skl,sK0_skl(sK1_skl))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f19,f14])).
% 0.12/0.38 fof(f21,plain,(
% 0.12/0.38 subpopulations(first_movers,efficient_producers,sK1_skl,sK2_skl(sK0_skl(sK1_skl)))|~environment(sK1_skl)|~stable(sK1_skl)),
% 0.12/0.38 inference(resolution,[status(thm)],[f16,f10])).
% 0.12/0.38 fof(f22,plain,(
% 0.12/0.38 subpopulations(first_movers,efficient_producers,sK1_skl,sK2_skl(sK0_skl(sK1_skl)))|~stable(sK1_skl)),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f21,f14])).
% 0.12/0.38 fof(f24,plain,(
% 0.12/0.38 greater_or_equal(sK2_skl(sK0_skl(sK1_skl)),sK0_skl(sK1_skl))),
% 0.12/0.38 inference(resolution,[status(thm)],[f17,f20])).
% 0.12/0.38 fof(f27,plain,(
% 0.12/0.38 subpopulations(first_movers,efficient_producers,sK1_skl,sK2_skl(sK0_skl(sK1_skl)))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f22,f15])).
% 0.12/0.38 fof(f28,plain,(
% 0.12/0.38 ~environment(sK1_skl)|~stable(sK1_skl)|~greater_or_equal(sK2_skl(sK0_skl(sK1_skl)),sK0_skl(sK1_skl))|greater(growth_rate(efficient_producers,sK2_skl(sK0_skl(sK1_skl))),growth_rate(first_movers,sK2_skl(sK0_skl(sK1_skl))))),
% 0.12/0.38 inference(resolution,[status(thm)],[f27,f11])).
% 0.12/0.38 fof(f29,plain,(
% 0.12/0.38 ~stable(sK1_skl)|~greater_or_equal(sK2_skl(sK0_skl(sK1_skl)),sK0_skl(sK1_skl))|greater(growth_rate(efficient_producers,sK2_skl(sK0_skl(sK1_skl))),growth_rate(first_movers,sK2_skl(sK0_skl(sK1_skl))))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f28,f14])).
% 0.12/0.38 fof(f30,plain,(
% 0.12/0.38 ~greater_or_equal(sK2_skl(sK0_skl(sK1_skl)),sK0_skl(sK1_skl))|greater(growth_rate(efficient_producers,sK2_skl(sK0_skl(sK1_skl))),growth_rate(first_movers,sK2_skl(sK0_skl(sK1_skl))))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f29,f15])).
% 0.12/0.38 fof(f31,plain,(
% 0.12/0.38 greater(growth_rate(efficient_producers,sK2_skl(sK0_skl(sK1_skl))),growth_rate(first_movers,sK2_skl(sK0_skl(sK1_skl))))),
% 0.12/0.38 inference(resolution,[status(thm)],[f30,f24])).
% 0.12/0.38 fof(f32,plain,(
% 0.12/0.38 ![X0]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sK2_skl(sK0_skl(sK1_skl)))|selection_favors(efficient_producers,first_movers,sK2_skl(sK0_skl(sK1_skl))))),
% 0.12/0.38 inference(resolution,[status(thm)],[f31,f7])).
% 0.12/0.38 fof(f33,plain,(
% 0.12/0.38 ~environment(sK1_skl)|selection_favors(efficient_producers,first_movers,sK2_skl(sK0_skl(sK1_skl)))),
% 0.12/0.38 inference(resolution,[status(thm)],[f32,f27])).
% 0.12/0.38 fof(f34,plain,(
% 0.12/0.38 selection_favors(efficient_producers,first_movers,sK2_skl(sK0_skl(sK1_skl)))),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f33,f14])).
% 0.12/0.38 fof(f35,plain,(
% 0.12/0.38 ~in_environment(sK1_skl,sK0_skl(sK1_skl))),
% 0.12/0.38 inference(resolution,[status(thm)],[f34,f18])).
% 0.12/0.38 fof(f36,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f35,f20])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.049521 seconds
% 0.12/0.40 % CPU time: 0.147199 seconds
% 0.12/0.40 % Total memory used: 55.592 MB
% 0.12/0.40 % Net memory used: 55.066 MB
%------------------------------------------------------------------------------