%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT036+3 : 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 : n011.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 0.18s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : MGT036+3 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n011.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 01:23:25 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.47 % Refutation found
% 0.18/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.47 fof(f1,axiom,(
% 0.18/0.47 (! [E,S1,S2,T] :( ( environment(E)& subpopulations(S1,S2,E,T) )=> subpopulations(S2,S1,E,T) ) )),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f2,hypothesis,(
% 0.18/0.47 (! [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) ) ) )),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f3,hypothesis,(
% 0.18/0.47 (? [E,T] :( environment(E)& subpopulations(first_movers,efficient_producers,E,T)& greater_or_equal(growth_rate(first_movers,T),zero)& greater(zero,growth_rate(efficient_producers,T)) ) )),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f4,conjecture,(
% 0.18/0.47 (? [E,T] :( environment(E)& subpopulations(first_movers,efficient_producers,E,T)& outcompetes(first_movers,efficient_producers,T) ) )),
% 0.18/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.18/0.47 fof(f5,negated_conjecture,(
% 0.18/0.47 ~((? [E,T] :( environment(E)& subpopulations(first_movers,efficient_producers,E,T)& outcompetes(first_movers,efficient_producers,T) ) ))),
% 0.18/0.47 inference(negated_conjecture,[status(cth)],[f4])).
% 0.18/0.47 fof(f6,plain,(
% 0.18/0.47 ![E,S1,S2,T]: ((~environment(E)|~subpopulations(S1,S2,E,T))|subpopulations(S2,S1,E,T))),
% 0.18/0.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.18/0.47 fof(f7,plain,(
% 0.18/0.47 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|subpopulations(X2,X1,X0,X3))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f6])).
% 0.18/0.47 fof(f8,plain,(
% 0.18/0.47 ![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)))),
% 0.18/0.47 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.18/0.47 fof(f9,plain,(
% 0.18/0.47 ![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))))),
% 0.18/0.47 inference(NNF_transformation,[status(thm)],[f8])).
% 0.18/0.47 fof(f10,plain,(
% 0.18/0.47 ![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))))),
% 0.18/0.47 inference(miniscoping,[status(thm)],[f9])).
% 0.18/0.47 fof(f11,plain,(
% 0.18/0.47 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~greater_or_equal(growth_rate(X2,X3),zero)|~greater(zero,growth_rate(X1,X3))|outcompetes(X2,X1,X3))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f10])).
% 0.18/0.47 fof(f14,plain,(
% 0.18/0.47 ?[T]: (((?[E]: (environment(E)&subpopulations(first_movers,efficient_producers,E,T)))&greater_or_equal(growth_rate(first_movers,T),zero))&greater(zero,growth_rate(efficient_producers,T)))),
% 0.18/0.47 inference(miniscoping,[status(thm)],[f3])).
% 0.18/0.47 fof(f15,plain,(
% 0.18/0.47 (((environment(sK1_skl)&subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl))&greater_or_equal(growth_rate(first_movers,sK0_skl),zero))&greater(zero,growth_rate(efficient_producers,sK0_skl)))),
% 0.18/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl),skolemize(E,sK1_skl)],[f14])).
% 0.18/0.47 fof(f16,plain,(
% 0.18/0.47 environment(sK1_skl)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.47 fof(f17,plain,(
% 0.18/0.47 subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.47 fof(f18,plain,(
% 0.18/0.47 greater_or_equal(growth_rate(first_movers,sK0_skl),zero)),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.47 fof(f19,plain,(
% 0.18/0.47 greater(zero,growth_rate(efficient_producers,sK0_skl))),
% 0.18/0.47 inference(cnf_transformation,[status(thm)],[f15])).
% 0.18/0.47 fof(f20,plain,(
% 0.18/0.47 (![E,T]: ((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|~outcompetes(first_movers,efficient_producers,T)))),
% 0.18/0.47 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.18/0.47 fof(f21,plain,(
% 0.18/0.47 ![T]: ((![E]: (~environment(E)|~subpopulations(first_movers,efficient_producers,E,T)))|~outcompetes(first_movers,efficient_producers,T))),
% 0.18/0.50 inference(miniscoping,[status(thm)],[f20])).
% 0.18/0.50 fof(f22,plain,(
% 0.18/0.50 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~outcompetes(first_movers,efficient_producers,X1))),
% 0.18/0.50 inference(cnf_transformation,[status(thm)],[f21])).
% 0.18/0.50 fof(f23,plain,(
% 0.18/0.50 ![X0,X1,X2]: (~subpopulations(X0,X1,sK1_skl,X2)|subpopulations(X1,X0,sK1_skl,X2))),
% 0.18/0.50 inference(resolution,[status(thm)],[f16,f7])).
% 0.18/0.50 fof(f24,plain,(
% 0.18/0.50 ![X0,X1]: (~environment(X0)|~subpopulations(efficient_producers,X1,X0,sK0_skl)|~greater_or_equal(growth_rate(X1,sK0_skl),zero)|outcompetes(X1,efficient_producers,sK0_skl))),
% 0.18/0.50 inference(resolution,[status(thm)],[f19,f11])).
% 0.18/0.50 fof(f25,plain,(
% 0.18/0.50 ![X0]: (~subpopulations(efficient_producers,X0,sK1_skl,sK0_skl)|~greater_or_equal(growth_rate(X0,sK0_skl),zero)|outcompetes(X0,efficient_producers,sK0_skl))),
% 0.18/0.50 inference(resolution,[status(thm)],[f24,f16])).
% 0.18/0.50 fof(f26,plain,(
% 0.18/0.50 ![X0]: (~greater_or_equal(growth_rate(X0,sK0_skl),zero)|outcompetes(X0,efficient_producers,sK0_skl)|~subpopulations(X0,efficient_producers,sK1_skl,sK0_skl))),
% 0.18/0.50 inference(resolution,[status(thm)],[f25,f23])).
% 0.18/0.50 fof(f27,plain,(
% 0.18/0.50 outcompetes(first_movers,efficient_producers,sK0_skl)|~subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f26,f18])).
% 0.18/0.50 fof(f29,plain,(
% 0.18/0.50 outcompetes(first_movers,efficient_producers,sK0_skl)),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f27,f17])).
% 0.18/0.50 fof(f30,plain,(
% 0.18/0.50 ![X0]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,sK0_skl))),
% 0.18/0.50 inference(resolution,[status(thm)],[f29,f22])).
% 0.18/0.50 fof(f33,plain,(
% 0.18/0.50 ~subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)),
% 0.18/0.50 inference(resolution,[status(thm)],[f30,f16])).
% 0.18/0.50 fof(f34,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(forward_subsumption_resolution,[status(thm)],[f33,f17])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.53 % Elapsed time: 0.063614 seconds
% 0.18/0.53 % CPU time: 0.085297 seconds
% 0.18/0.53 % Total memory used: 1.756 MB
% 0.18/0.53 % Net memory used: 1.755 MB
%------------------------------------------------------------------------------