%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT023+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 01:25:42 PM UTC 2026
% Result : Theorem 0.15s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n020.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 01:22:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.39 fof(f1,hypothesis,(
% 0.15/0.39 (! [E,To] :( ( environment(E)& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))& in_environment(E,To)& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) ))=> To = critical_point(E) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f2,hypothesis,(
% 0.15/0.39 (! [E] :( ( environment(E)& stable(E) )=> (? [To] :( in_environment(E,To)& ~ greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,To) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) )) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f3,conjecture,(
% 0.15/0.39 (! [E] :( ( environment(E)& stable(E) )=> in_environment(E,critical_point(E)) ) )),
% 0.15/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.39 fof(f4,negated_conjecture,(
% 0.15/0.39 ~((! [E] :( ( environment(E)& stable(E) )=> in_environment(E,critical_point(E)) ) ))),
% 0.15/0.39 inference(negated_conjecture,[status(cth)],[f3])).
% 0.15/0.39 fof(f5,plain,(
% 0.15/0.39 ![E,To]: ((((~environment(E)|greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))|~in_environment(E,To))|(?[T]: ((subpopulations(first_movers,efficient_producers,E,T)&greater(T,To))&~greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))|To=critical_point(E))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.15/0.39 fof(f6,plain,(
% 0.15/0.39 ![E,To]: ((((~environment(E)|greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))|~in_environment(E,To))|((subpopulations(first_movers,efficient_producers,E,sK0_skl(To,E))&greater(sK0_skl(To,E),To))&~greater(growth_rate(efficient_producers,sK0_skl(To,E)),growth_rate(first_movers,sK0_skl(To,E)))))|To=critical_point(E))),
% 0.15/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(T,sK0_skl(To,E))],[f5])).
% 0.15/0.39 fof(f7,plain,(
% 0.15/0.39 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sK0_skl(X1,X0))|X1=critical_point(X0))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.39 fof(f8,plain,(
% 0.15/0.39 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|greater(sK0_skl(X1,X0),X1)|X1=critical_point(X0))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.39 fof(f9,plain,(
% 0.15/0.39 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sK0_skl(X1,X0)),growth_rate(first_movers,sK0_skl(X1,X0)))|X1=critical_point(X0))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/0.39 fof(f10,plain,(
% 0.15/0.39 ![E]: ((~environment(E)|~stable(E))|(?[To]: ((in_environment(E,To)&~greater(growth_rate(efficient_producers,To),growth_rate(first_movers,To)))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,To))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)))))))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.15/0.39 fof(f11,plain,(
% 0.15/0.39 ![E]: ((~environment(E)|~stable(E))|((in_environment(E,sK1_skl(E))&~greater(growth_rate(efficient_producers,sK1_skl(E)),growth_rate(first_movers,sK1_skl(E))))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,sK1_skl(E)))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.15/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(To,sK1_skl(E))],[f10])).
% 0.15/0.39 fof(f12,plain,(
% 0.15/0.39 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sK1_skl(X0)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.39 fof(f13,plain,(
% 0.15/0.39 ![X0]: (~environment(X0)|~stable(X0)|~greater(growth_rate(efficient_producers,sK1_skl(X0)),growth_rate(first_movers,sK1_skl(X0))))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.39 fof(f14,plain,(
% 0.15/0.39 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater(X1,sK1_skl(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.39 fof(f15,plain,(
% 0.15/0.39 (?[E]: ((environment(E)&stable(E))&~in_environment(E,critical_point(E))))),
% 0.15/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/0.39 fof(f16,plain,(
% 0.15/0.39 ((environment(sK2_skl)&stable(sK2_skl))&~in_environment(sK2_skl,critical_point(sK2_skl)))),
% 0.15/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(E,sK2_skl)],[f15])).
% 0.15/0.39 fof(f17,plain,(
% 0.15/0.39 environment(sK2_skl)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.39 fof(f18,plain,(
% 0.15/0.39 stable(sK2_skl)),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.39 fof(f19,plain,(
% 0.15/0.39 ~in_environment(sK2_skl,critical_point(sK2_skl))),
% 0.15/0.39 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/0.39 fof(f20,plain,(
% 0.15/0.39 ~environment(sK2_skl)|in_environment(sK2_skl,sK1_skl(sK2_skl))),
% 0.15/0.39 inference(resolution,[status(thm)],[f12,f18])).
% 0.15/0.39 fof(f21,plain,(
% 0.15/0.39 in_environment(sK2_skl,sK1_skl(sK2_skl))),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f20,f17])).
% 0.15/0.39 fof(f22,plain,(
% 0.15/0.39 ~environment(sK2_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))|greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f8,f21])).
% 0.15/0.39 fof(f23,plain,(
% 0.15/0.39 greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))|greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f22,f17])).
% 0.15/0.39 fof(f24,plain,(
% 0.15/0.39 greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)|~environment(sK2_skl)|~stable(sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f23,f13])).
% 0.15/0.39 fof(f25,plain,(
% 0.15/0.39 greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)|~stable(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f24,f17])).
% 0.15/0.39 fof(f26,plain,(
% 0.15/0.39 greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f25,f18])).
% 0.15/0.39 fof(f27,plain,(
% 0.15/0.39 ~environment(sK2_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))|subpopulations(first_movers,efficient_producers,sK2_skl,sK0_skl(sK1_skl(sK2_skl),sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f7,f21])).
% 0.15/0.39 fof(f28,plain,(
% 0.15/0.39 greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))|subpopulations(first_movers,efficient_producers,sK2_skl,sK0_skl(sK1_skl(sK2_skl),sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f27,f17])).
% 0.15/0.39 fof(f29,plain,(
% 0.15/0.39 subpopulations(first_movers,efficient_producers,sK2_skl,sK0_skl(sK1_skl(sK2_skl),sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)|~environment(sK2_skl)|~stable(sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f28,f13])).
% 0.15/0.39 fof(f30,plain,(
% 0.15/0.39 subpopulations(first_movers,efficient_producers,sK2_skl,sK0_skl(sK1_skl(sK2_skl),sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)|~stable(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f29,f17])).
% 0.15/0.39 fof(f31,plain,(
% 0.15/0.39 subpopulations(first_movers,efficient_producers,sK2_skl,sK0_skl(sK1_skl(sK2_skl),sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f30,f18])).
% 0.15/0.39 fof(f32,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|~environment(sK2_skl)|~stable(sK2_skl)|~greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|greater(growth_rate(efficient_producers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)),growth_rate(first_movers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)))),
% 0.15/0.39 inference(resolution,[status(thm)],[f31,f14])).
% 0.15/0.39 fof(f33,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|~stable(sK2_skl)|~greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|greater(growth_rate(efficient_producers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)),growth_rate(first_movers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)))),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f32,f17])).
% 0.15/0.39 fof(f34,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|~greater(sK0_skl(sK1_skl(sK2_skl),sK2_skl),sK1_skl(sK2_skl))|greater(growth_rate(efficient_producers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)),growth_rate(first_movers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)))),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f33,f18])).
% 0.15/0.39 fof(f35,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|greater(growth_rate(efficient_producers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)),growth_rate(first_movers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f34,f26])).
% 0.15/0.39 fof(f36,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|greater(growth_rate(efficient_producers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)),growth_rate(first_movers,sK0_skl(sK1_skl(sK2_skl),sK2_skl)))),
% 0.15/0.39 inference(duplicate_literals_removal,[status(thm)],[f35])).
% 0.15/0.39 fof(f37,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|~environment(sK2_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))|~in_environment(sK2_skl,sK1_skl(sK2_skl))|sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f36,f9])).
% 0.15/0.39 fof(f38,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|~environment(sK2_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))|~in_environment(sK2_skl,sK1_skl(sK2_skl))),
% 0.15/0.39 inference(duplicate_literals_removal,[status(thm)],[f37])).
% 0.15/0.39 fof(f39,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))|~in_environment(sK2_skl,sK1_skl(sK2_skl))),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f38,f17])).
% 0.15/0.39 fof(f40,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|greater(growth_rate(efficient_producers,sK1_skl(sK2_skl)),growth_rate(first_movers,sK1_skl(sK2_skl)))),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f39,f21])).
% 0.15/0.39 fof(f41,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|~environment(sK2_skl)|~stable(sK2_skl)),
% 0.15/0.39 inference(resolution,[status(thm)],[f40,f13])).
% 0.15/0.39 fof(f42,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)|~stable(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f41,f17])).
% 0.15/0.39 fof(f47,plain,(
% 0.15/0.39 ~in_environment(sK2_skl,sK1_skl(sK2_skl))),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f48,f19])).
% 0.15/0.39 fof(f48,plain,(
% 0.15/0.39 sK1_skl(sK2_skl)=critical_point(sK2_skl)),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f42,f18])).
% 0.15/0.39 fof(f49,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(forward_subsumption_resolution,[status(thm)],[f47,f21])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.052470 seconds
% 0.15/0.42 % CPU time: 0.153872 seconds
% 0.15/0.42 % Total memory used: 75.090 MB
% 0.15/0.42 % Net memory used: 74.630 MB
%------------------------------------------------------------------------------