%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT037+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 : n007.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 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT037+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
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 01:21:06 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& greater_or_equal(T,appear(efficient_producers,E))& cardinality_at_time(efficient_producers,T) = zero )=> (? [To] :( greater(To,appear(efficient_producers,E))& in_environment(E,To)& greater(T,To)& greater(zero,growth_rate(efficient_producers,To)) ) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater(appear(an_organisation,E),T) )=> number_of_organizations(E,T) = zero ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T)& ~ decreases(number_of_organizations(E,T)) )=> (? [X] :( subpopulation(X,E,T)& greater(cardinality_at_time(X,T),zero)& ~ greater(zero,growth_rate(X,T)) ) )) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (! [E,T,X] :( ( environment(E)& in_environment(E,T)& number_of_organizations(E,T) = zero& subpopulation(X,E,T) )=> cardinality_at_time(X,T) = zero ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> ( subpopulation(first_movers,E,T)& subpopulation(efficient_producers,E,T) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (! [S,T] :( cardinality_at_time(S,T) = zero=> ~ greater(zero,growth_rate(S,T)) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> ( cardinality_at_time(efficient_producers,T) = zero| greater(cardinality_at_time(efficient_producers,T),zero) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,axiom,(
% 0.13/0.38 (! [X] :( constant(X)=> ~ decreases(X) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,axiom,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> ( greater_or_equal(T,appear(an_organisation,E))| greater(appear(an_organisation,E),T) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,hypothesis,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater(number_of_organizations(E,T),zero) )=> ( ( greater(equilibrium(E),T)=> decreases(resources(E,T)) )& ( ~ greater(equilibrium(E),T)=> constant(resources(E,T)) ) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,hypothesis,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater_or_equal(T,appear(an_organisation,E)) )=> greater(number_of_organizations(E,T),zero) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,hypothesis,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> ( ( decreases(resources(E,T))=> ~ decreases(number_of_organizations(E,T)) )& ( constant(resources(E,T))=> constant(number_of_organizations(E,T)) ) ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,hypothesis,(
% 0.13/0.38 (! [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)) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,hypothesis,(
% 0.13/0.38 greater(resilience(efficient_producers),resilience(first_movers)) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,hypothesis,(
% 0.13/0.38 (! [E,X,T] :( ( environment(E)& subpopulation(X,E,T)& greater(cardinality_at_time(X,T),zero) )=> ( X = efficient_producers| X = first_movers ) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,conjecture,(
% 0.13/0.38 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater_or_equal(T,appear(efficient_producers,E)) )=> greater(cardinality_at_time(efficient_producers,T),zero) ) )),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,negated_conjecture,(
% 0.13/0.38 ~((! [E,T] :( ( environment(E)& in_environment(E,T)& greater_or_equal(T,appear(efficient_producers,E)) )=> greater(cardinality_at_time(efficient_producers,T),zero) ) ))),
% 0.13/0.39 inference(negated_conjecture,[status(cth)],[f16])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![E,T]: (((~environment(E)|~greater_or_equal(T,appear(efficient_producers,E)))|~cardinality_at_time(efficient_producers,T)=zero)|(?[To]: (((greater(To,appear(efficient_producers,E))&in_environment(E,To))&greater(T,To))&greater(zero,growth_rate(efficient_producers,To)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f19,plain,(
% 0.13/0.39 ![E,T]: (((~environment(E)|~greater_or_equal(T,appear(efficient_producers,E)))|~cardinality_at_time(efficient_producers,T)=zero)|(((greater(sK0_skl(T,E),appear(efficient_producers,E))&in_environment(E,sK0_skl(T,E)))&greater(T,sK0_skl(T,E)))&greater(zero,growth_rate(efficient_producers,sK0_skl(T,E)))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(To,sK0_skl(T,E))],[f18])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~greater_or_equal(X1,appear(efficient_producers,X0))|~cardinality_at_time(efficient_producers,X1)=zero|greater(sK0_skl(X1,X0),appear(efficient_producers,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~greater_or_equal(X1,appear(efficient_producers,X0))|~cardinality_at_time(efficient_producers,X1)=zero|in_environment(X0,sK0_skl(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~greater_or_equal(X1,appear(efficient_producers,X0))|~cardinality_at_time(efficient_producers,X1)=zero|greater(X1,sK0_skl(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~greater_or_equal(X1,appear(efficient_producers,X0))|~cardinality_at_time(efficient_producers,X1)=zero|greater(zero,growth_rate(efficient_producers,sK0_skl(X1,X0))))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![E,T]: (((~environment(E)|~in_environment(E,T))|~greater(appear(an_organisation,E),T))|number_of_organizations(E,T)=zero)),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f25,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(appear(an_organisation,X0),X1)|number_of_organizations(X0,X1)=zero)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.39 fof(f26,plain,(
% 0.13/0.39 ![E,T]: (((~environment(E)|~in_environment(E,T))|decreases(number_of_organizations(E,T)))|(?[X]: ((subpopulation(X,E,T)&greater(cardinality_at_time(X,T),zero))&~greater(zero,growth_rate(X,T)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f27,plain,(
% 0.13/0.39 ![E,T]: (((~environment(E)|~in_environment(E,T))|decreases(number_of_organizations(E,T)))|((subpopulation(sK1_skl(T,E),E,T)&greater(cardinality_at_time(sK1_skl(T,E),T),zero))&~greater(zero,growth_rate(sK1_skl(T,E),T))))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(X,sK1_skl(T,E))],[f26])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|decreases(number_of_organizations(X0,X1))|subpopulation(sK1_skl(X1,X0),X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|decreases(number_of_organizations(X0,X1))|greater(cardinality_at_time(sK1_skl(X1,X0),X1),zero))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|decreases(number_of_organizations(X0,X1))|~greater(zero,growth_rate(sK1_skl(X1,X0),X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.39 fof(f31,plain,(
% 0.13/0.39 ![E,T,X]: ((((~environment(E)|~in_environment(E,T))|~number_of_organizations(E,T)=zero)|~subpopulation(X,E,T))|cardinality_at_time(X,T)=zero)),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ![T,X]: ((![E]: (((~environment(E)|~in_environment(E,T))|~number_of_organizations(E,T)=zero)|~subpopulation(X,E,T)))|cardinality_at_time(X,T)=zero)),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f31])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~number_of_organizations(X0,X1)=zero|~subpopulation(X2,X0,X1)|cardinality_at_time(X2,X1)=zero)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.39 fof(f34,plain,(
% 0.13/0.39 ![E,T]: ((~environment(E)|~in_environment(E,T))|(subpopulation(first_movers,E,T)&subpopulation(efficient_producers,E,T)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(first_movers,X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f36,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(efficient_producers,X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![S,T]: (~cardinality_at_time(S,T)=zero|~greater(zero,growth_rate(S,T)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f38,plain,(
% 0.13/0.39 ![X0,X1]: (~cardinality_at_time(X0,X1)=zero|~greater(zero,growth_rate(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 ![E,T]: ((~environment(E)|~in_environment(E,T))|(cardinality_at_time(efficient_producers,T)=zero|greater(cardinality_at_time(efficient_producers,T),zero)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 ![T]: ((![E]: (~environment(E)|~in_environment(E,T)))|(cardinality_at_time(efficient_producers,T)=zero|greater(cardinality_at_time(efficient_producers,T),zero)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f39])).
% 0.13/0.39 fof(f41,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|cardinality_at_time(efficient_producers,X1)=zero|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.39 fof(f42,plain,(
% 0.13/0.39 ![X]: (~constant(X)|~decreases(X))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.13/0.39 fof(f43,plain,(
% 0.13/0.39 ![X0]: (~constant(X0)|~decreases(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.39 fof(f44,plain,(
% 0.13/0.39 ![E,T]: ((~environment(E)|~in_environment(E,T))|(greater_or_equal(T,appear(an_organisation,E))|greater(appear(an_organisation,E),T)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f45,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(X1,appear(an_organisation,X0))|greater(appear(an_organisation,X0),X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f44])).
% 0.13/0.39 fof(f46,plain,(
% 0.13/0.39 ![E,T]: (((~environment(E)|~in_environment(E,T))|~greater(number_of_organizations(E,T),zero))|((~greater(equilibrium(E),T)|decreases(resources(E,T)))&(greater(equilibrium(E),T)|constant(resources(E,T)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f47,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(number_of_organizations(X0,X1),zero)|~greater(equilibrium(X0),X1)|decreases(resources(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(number_of_organizations(X0,X1),zero)|greater(equilibrium(X0),X1)|constant(resources(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.39 fof(f49,plain,(
% 0.13/0.39 ![E,T]: (((~environment(E)|~in_environment(E,T))|~greater_or_equal(T,appear(an_organisation,E)))|greater(number_of_organizations(E,T),zero))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f50,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater_or_equal(X1,appear(an_organisation,X0))|greater(number_of_organizations(X0,X1),zero))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f49])).
% 0.13/0.39 fof(f51,plain,(
% 0.13/0.39 ![E,T]: ((~environment(E)|~in_environment(E,T))|((~decreases(resources(E,T))|~decreases(number_of_organizations(E,T)))&(~constant(resources(E,T))|constant(number_of_organizations(E,T)))))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f52,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~decreases(resources(X0,X1))|~decreases(number_of_organizations(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.39 fof(f53,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~constant(resources(X0,X1))|constant(number_of_organizations(X0,X1)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f51])).
% 0.13/0.39 fof(f54,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f55,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f54])).
% 0.13/0.39 fof(f56,plain,(
% 0.13/0.39 ![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)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.39 fof(f57,plain,(
% 0.13/0.39 greater(resilience(efficient_producers),resilience(first_movers))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.39 fof(f58,plain,(
% 0.13/0.39 ![E,X,T]: (((~environment(E)|~subpopulation(X,E,T))|~greater(cardinality_at_time(X,T),zero))|(X=efficient_producers|X=first_movers))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f59,plain,(
% 0.13/0.39 ![X]: ((![T]: ((![E]: (~environment(E)|~subpopulation(X,E,T)))|~greater(cardinality_at_time(X,T),zero)))|(X=efficient_producers|X=first_movers))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f58])).
% 0.13/0.39 fof(f60,plain,(
% 0.13/0.39 ![X0,X1,X2]: (~environment(X0)|~subpopulation(X1,X0,X2)|~greater(cardinality_at_time(X1,X2),zero)|X1=efficient_producers|X1=first_movers)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f59])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 (?[E,T]: (((environment(E)&in_environment(E,T))&greater_or_equal(T,appear(efficient_producers,E)))&~greater(cardinality_at_time(efficient_producers,T),zero)))),
% 0.13/0.39 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ?[T]: ((?[E]: ((environment(E)&in_environment(E,T))&greater_or_equal(T,appear(efficient_producers,E))))&~greater(cardinality_at_time(efficient_producers,T),zero))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f61])).
% 0.13/0.39 fof(f63,plain,(
% 0.13/0.39 (((environment(sK3_skl)&in_environment(sK3_skl,sK2_skl))&greater_or_equal(sK2_skl,appear(efficient_producers,sK3_skl)))&~greater(cardinality_at_time(efficient_producers,sK2_skl),zero))),
% 0.13/0.39 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(T,sK2_skl),skolemize(E,sK3_skl)],[f62])).
% 0.13/0.39 fof(f64,plain,(
% 0.13/0.39 environment(sK3_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.39 fof(f65,plain,(
% 0.13/0.39 in_environment(sK3_skl,sK2_skl)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.39 fof(f66,plain,(
% 0.13/0.39 greater_or_equal(sK2_skl,appear(efficient_producers,sK3_skl))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.39 fof(f67,plain,(
% 0.13/0.39 ~greater(cardinality_at_time(efficient_producers,sK2_skl),zero)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f63])).
% 0.13/0.39 fof(f68,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~cardinality_at_time(efficient_producers,sK2_skl)=zero|greater(sK0_skl(sK2_skl,sK3_skl),appear(efficient_producers,sK3_skl))),
% 0.13/0.39 inference(resolution,[status(thm)],[f20,f66])).
% 0.13/0.39 fof(f69,definition,(
% 0.13/0.39 sQ0_spl <=> (environment(sK3_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ~environment(sK3_skl)|sQ0_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.39 fof(f72,definition,(
% 0.13/0.39 sQ1_spl <=> (cardinality_at_time(efficient_producers,sK2_skl)=zero)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f75,definition,(
% 0.13/0.39 sQ2_spl <=> (greater(sK0_skl(sK2_skl,sK3_skl),appear(efficient_producers,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f78,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|sQ2_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f68,f69,f72,f75])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 ~environment(sK3_skl)|subpopulation(first_movers,sK3_skl,sK2_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f35,f65])).
% 0.13/0.39 fof(f80,definition,(
% 0.13/0.39 sQ3_spl <=> (subpopulation(first_movers,sK3_skl,sK2_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 ~sQ0_spl|sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f79,f69,f80])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 $false|sQ0_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f71,f64])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 sQ0_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f84])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~cardinality_at_time(efficient_producers,sK2_skl)=zero|in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))),
% 0.13/0.39 inference(resolution,[status(thm)],[f21,f66])).
% 0.13/0.39 fof(f87,definition,(
% 0.13/0.39 sQ4_spl <=> (in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~sQ4_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f87])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f86,f69,f72,f87])).
% 0.13/0.39 fof(f91,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~cardinality_at_time(efficient_producers,sK2_skl)=zero|greater(sK2_skl,sK0_skl(sK2_skl,sK3_skl))),
% 0.13/0.39 inference(resolution,[status(thm)],[f22,f66])).
% 0.13/0.39 fof(f92,definition,(
% 0.13/0.39 sQ5_spl <=> (greater(sK2_skl,sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f95,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|sQ5_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f91,f69,f72,f92])).
% 0.13/0.39 fof(f96,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~cardinality_at_time(efficient_producers,sK2_skl)=zero|greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f23,f66])).
% 0.13/0.39 fof(f97,definition,(
% 0.13/0.39 sQ6_spl <=> (greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f98,plain,(
% 0.13/0.39 greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl)))|~sQ6_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f97])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f96,f69,f72,f97])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 ~environment(sK3_skl)|cardinality_at_time(efficient_producers,sK2_skl)=zero|greater(cardinality_at_time(efficient_producers,sK2_skl),zero)),
% 0.13/0.39 inference(resolution,[status(thm)],[f41,f65])).
% 0.13/0.39 fof(f102,definition,(
% 0.13/0.39 sQ7_spl <=> (greater(cardinality_at_time(efficient_producers,sK2_skl),zero))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f103,plain,(
% 0.13/0.39 greater(cardinality_at_time(efficient_producers,sK2_skl),zero)|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.39 fof(f105,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl|sQ7_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f101,f69,f72,f102])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 $false|~sQ7_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f103,f67])).
% 0.13/0.39 fof(f107,plain,(
% 0.13/0.39 ~sQ7_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f106])).
% 0.13/0.39 fof(f132,definition,(
% 0.13/0.39 ![X0]: (sQ13_spl <=> (~environment(X0)|~subpopulation(efficient_producers,X0,sK2_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f133,plain,(
% 0.13/0.39 ![X0]: (~environment(X0)|~subpopulation(efficient_producers,X0,sK2_skl)|~sQ13_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f132])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 ~environment(sK3_skl)|decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|greater(cardinality_at_time(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK0_skl(sK2_skl,sK3_skl)),zero)|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f88,f29])).
% 0.13/0.39 fof(f151,plain,(
% 0.13/0.39 ~environment(sK3_skl)|greater_or_equal(sK0_skl(sK2_skl,sK3_skl),appear(an_organisation,sK3_skl))|greater(appear(an_organisation,sK3_skl),sK0_skl(sK2_skl,sK3_skl))|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f88,f45])).
% 0.13/0.39 fof(f152,plain,(
% 0.13/0.39 ~environment(sK3_skl)|decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f88,f28])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ~environment(sK3_skl)|cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl))=zero|greater(cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)),zero)|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f88,f41])).
% 0.13/0.39 fof(f154,definition,(
% 0.13/0.39 sQ17_spl <=> (decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f155,plain,(
% 0.13/0.39 decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ17_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f154])).
% 0.13/0.39 fof(f157,definition,(
% 0.13/0.39 sQ18_spl <=> (greater(cardinality_at_time(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK0_skl(sK2_skl,sK3_skl)),zero))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f158,plain,(
% 0.13/0.39 greater(cardinality_at_time(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK0_skl(sK2_skl,sK3_skl)),zero)|~sQ18_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f157])).
% 0.13/0.39 fof(f160,plain,(
% 0.13/0.39 ~sQ0_spl|sQ17_spl|sQ18_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f150,f69,f154,f157,f87])).
% 0.13/0.39 fof(f161,definition,(
% 0.13/0.39 sQ19_spl <=> (greater_or_equal(sK0_skl(sK2_skl,sK3_skl),appear(an_organisation,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f162,plain,(
% 0.13/0.39 greater_or_equal(sK0_skl(sK2_skl,sK3_skl),appear(an_organisation,sK3_skl))|~sQ19_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f161])).
% 0.13/0.39 fof(f164,definition,(
% 0.13/0.39 sQ20_spl <=> (greater(appear(an_organisation,sK3_skl),sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f165,plain,(
% 0.13/0.39 greater(appear(an_organisation,sK3_skl),sK0_skl(sK2_skl,sK3_skl))|~sQ20_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f164])).
% 0.13/0.39 fof(f167,plain,(
% 0.13/0.39 ~sQ0_spl|sQ19_spl|sQ20_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f151,f69,f161,f164,f87])).
% 0.13/0.39 fof(f168,definition,(
% 0.13/0.39 sQ21_spl <=> (subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK3_skl,sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f169,plain,(
% 0.13/0.39 subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~sQ21_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f168])).
% 0.13/0.39 fof(f171,plain,(
% 0.13/0.39 ~sQ0_spl|sQ17_spl|sQ21_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f152,f69,f154,f168,f87])).
% 0.13/0.39 fof(f172,definition,(
% 0.13/0.39 sQ22_spl <=> (cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl))=zero)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f173,plain,(
% 0.13/0.39 cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl))=zero|~sQ22_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f172])).
% 0.13/0.39 fof(f175,definition,(
% 0.13/0.39 sQ23_spl <=> (greater(cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl)),zero))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f178,plain,(
% 0.13/0.39 ~sQ0_spl|sQ22_spl|sQ23_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f153,f69,f172,f175,f87])).
% 0.13/0.39 fof(f188,definition,(
% 0.13/0.39 ![X0]: (sQ24_spl <=> (~environment(X0)|~subpopulation(efficient_producers,X0,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 ![X0]: (~environment(X0)|~subpopulation(efficient_producers,X0,sK0_skl(sK2_skl,sK3_skl))|~sQ24_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f188])).
% 0.13/0.39 fof(f192,plain,(
% 0.13/0.39 ~environment(sK3_skl)|subpopulation(efficient_producers,sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f36,f88])).
% 0.13/0.39 fof(f193,plain,(
% 0.13/0.39 ~environment(sK3_skl)|subpopulation(efficient_producers,sK3_skl,sK2_skl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f36,f65])).
% 0.13/0.39 fof(f194,definition,(
% 0.13/0.39 sQ25_spl <=> (subpopulation(efficient_producers,sK3_skl,sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f195,plain,(
% 0.13/0.39 subpopulation(efficient_producers,sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~sQ25_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f194])).
% 0.13/0.39 fof(f197,plain,(
% 0.13/0.39 ~sQ0_spl|sQ25_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f192,f69,f194,f87])).
% 0.13/0.39 fof(f198,definition,(
% 0.13/0.39 sQ26_spl <=> (subpopulation(efficient_producers,sK3_skl,sK2_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f199,plain,(
% 0.13/0.39 subpopulation(efficient_producers,sK3_skl,sK2_skl)|~sQ26_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f198])).
% 0.13/0.39 fof(f201,plain,(
% 0.13/0.39 ~sQ0_spl|sQ26_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f193,f69,f198])).
% 0.13/0.39 fof(f202,plain,(
% 0.13/0.39 ~environment(sK3_skl)|subpopulation(first_movers,sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f35,f88])).
% 0.13/0.39 fof(f204,definition,(
% 0.13/0.39 sQ27_spl <=> (subpopulation(first_movers,sK3_skl,sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f207,plain,(
% 0.13/0.39 ~sQ0_spl|sQ27_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f202,f69,f204,f87])).
% 0.13/0.39 fof(f209,plain,(
% 0.13/0.39 ~cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl))=zero|~sQ6_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f38,f98])).
% 0.13/0.39 fof(f210,plain,(
% 0.13/0.39 ~zero=zero|~sQ22_spl|~sQ6_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f173,f209])).
% 0.13/0.39 fof(f211,plain,(
% 0.13/0.39 $false|~sQ22_spl|~sQ6_spl),
% 0.13/0.39 inference(trivial_equality_resolution,[status(thm)],[f210])).
% 0.13/0.39 fof(f212,plain,(
% 0.13/0.39 ~sQ22_spl|~sQ6_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f211])).
% 0.13/0.39 fof(f215,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|greater(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)),zero)|~sQ19_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f50,f162])).
% 0.13/0.39 fof(f217,definition,(
% 0.13/0.39 sQ28_spl <=> (greater(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)),zero))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f218,plain,(
% 0.13/0.39 greater(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)),zero)|~sQ28_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f217])).
% 0.13/0.39 fof(f220,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|sQ28_spl|~sQ19_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f215,f69,f87,f217,f161])).
% 0.13/0.39 fof(f221,definition,(
% 0.13/0.39 sQ29_spl <=> (in_environment(sK3_skl,sK2_skl))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f223,plain,(
% 0.13/0.39 ~in_environment(sK3_skl,sK2_skl)|sQ29_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f221])).
% 0.13/0.39 fof(f233,plain,(
% 0.13/0.39 $false|sQ29_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f223,f65])).
% 0.13/0.39 fof(f234,plain,(
% 0.13/0.39 sQ29_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f233])).
% 0.13/0.39 fof(f241,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl))=zero|~sQ20_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f165,f25])).
% 0.13/0.39 fof(f242,definition,(
% 0.13/0.39 sQ32_spl <=> (number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl))=zero)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f245,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|sQ32_spl|~sQ20_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f241,f69,f87,f242,f164])).
% 0.13/0.39 fof(f270,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|greater(equilibrium(sK3_skl),sK0_skl(sK2_skl,sK3_skl))|constant(resources(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ28_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f218,f48])).
% 0.13/0.39 fof(f271,definition,(
% 0.13/0.39 sQ35_spl <=> (greater(equilibrium(sK3_skl),sK0_skl(sK2_skl,sK3_skl)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f274,definition,(
% 0.13/0.39 sQ36_spl <=> (constant(resources(sK3_skl,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f275,plain,(
% 0.13/0.39 constant(resources(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ36_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f274])).
% 0.13/0.39 fof(f277,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|sQ35_spl|sQ36_spl|~sQ28_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f270,f69,f87,f271,f274,f217])).
% 0.13/0.39 fof(f278,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl))=zero|cardinality_at_time(efficient_producers,sK0_skl(sK2_skl,sK3_skl))=zero|~sQ25_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f33,f195])).
% 0.13/0.39 fof(f282,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|~sQ32_spl|sQ22_spl|~sQ25_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f278,f69,f87,f242,f172,f194])).
% 0.13/0.39 fof(f292,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~greater(equilibrium(sK3_skl),sK0_skl(sK2_skl,sK3_skl))|decreases(resources(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ28_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f47,f218])).
% 0.13/0.39 fof(f294,definition,(
% 0.13/0.39 sQ39_spl <=> (decreases(resources(sK3_skl,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f295,plain,(
% 0.13/0.39 decreases(resources(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ39_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f294])).
% 0.13/0.39 fof(f297,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|~sQ35_spl|sQ39_spl|~sQ28_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f292,f69,f87,f271,f294,f217])).
% 0.13/0.39 fof(f341,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~sQ13_spl|~sQ26_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f133,f199])).
% 0.13/0.39 fof(f342,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ13_spl|~sQ26_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f341,f69,f132,f198])).
% 0.13/0.39 fof(f343,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|constant(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ36_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f275,f53])).
% 0.13/0.39 fof(f345,definition,(
% 0.13/0.39 sQ48_spl <=> (constant(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f346,plain,(
% 0.13/0.39 constant(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ48_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f345])).
% 0.13/0.39 fof(f348,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|sQ48_spl|~sQ36_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f343,f69,f87,f345,f274])).
% 0.13/0.39 fof(f353,plain,(
% 0.13/0.39 ~decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ48_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f346,f43])).
% 0.13/0.39 fof(f354,plain,(
% 0.13/0.39 $false|~sQ17_spl|~sQ48_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f353,f155])).
% 0.13/0.39 fof(f355,plain,(
% 0.13/0.39 ~sQ17_spl|~sQ48_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f354])).
% 0.13/0.39 fof(f365,plain,(
% 0.13/0.39 ![X0]: (~environment(X0)|~subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),X0,sK0_skl(sK2_skl,sK3_skl))|sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl)=efficient_producers|sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl)=first_movers|~sQ18_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f158,f60])).
% 0.13/0.39 fof(f366,definition,(
% 0.13/0.39 ![X0]: (sQ49_spl <=> (~environment(X0)|~subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),X0,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f367,plain,(
% 0.13/0.39 ![X0]: (~environment(X0)|~subpopulation(sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl),X0,sK0_skl(sK2_skl,sK3_skl))|~sQ49_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f366])).
% 0.13/0.39 fof(f369,definition,(
% 0.13/0.39 sQ50_spl <=> (sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl)=efficient_producers)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f370,plain,(
% 0.13/0.39 sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl)=efficient_producers|~sQ50_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f369])).
% 0.13/0.39 fof(f372,definition,(
% 0.13/0.39 sQ51_spl <=> (sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl)=first_movers)),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f373,plain,(
% 0.13/0.39 sK1_skl(sK0_skl(sK2_skl,sK3_skl),sK3_skl)=first_movers|~sQ51_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f372])).
% 0.13/0.39 fof(f375,plain,(
% 0.13/0.39 sQ49_spl|sQ50_spl|sQ51_spl|~sQ18_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f365,f366,f369,f372,f157])).
% 0.13/0.39 fof(f397,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~sQ24_spl|~sQ25_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f189,f195])).
% 0.13/0.39 fof(f398,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ24_spl|~sQ25_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f397,f69,f188,f194])).
% 0.13/0.39 fof(f399,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~sQ49_spl|~sQ21_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f367,f169])).
% 0.13/0.39 fof(f400,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ49_spl|~sQ21_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f399,f69,f366,f168])).
% 0.13/0.39 fof(f405,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~greater(zero,growth_rate(efficient_producers,sK0_skl(sK2_skl,sK3_skl)))|~sQ50_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f370,f30])).
% 0.13/0.39 fof(f406,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|sQ17_spl|~sQ6_spl|~sQ50_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f405,f69,f87,f154,f97,f369])).
% 0.13/0.39 fof(f411,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl,sK3_skl)))|~sQ51_spl),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f373,f30])).
% 0.13/0.39 fof(f412,definition,(
% 0.13/0.39 sQ54_spl <=> (greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f414,plain,(
% 0.13/0.39 ~greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl,sK3_skl)))|sQ54_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f412])).
% 0.13/0.39 fof(f415,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|sQ17_spl|~sQ54_spl|~sQ51_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f411,f69,f87,f154,f412,f372])).
% 0.13/0.39 fof(f422,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,sK0_skl(sK2_skl,sK3_skl))|greater(zero,growth_rate(X1,sK0_skl(sK2_skl,sK3_skl)))|~greater(resilience(efficient_producers),resilience(X1))|~sQ6_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f56,f98])).
% 0.13/0.39 fof(f423,definition,(
% 0.13/0.39 ![X0]: (sQ56_spl <=> (~environment(X0)|~in_environment(X0,sK0_skl(sK2_skl,sK3_skl))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f424,plain,(
% 0.13/0.39 ![X0]: (~environment(X0)|~in_environment(X0,sK0_skl(sK2_skl,sK3_skl))|~sQ56_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f423])).
% 0.13/0.39 fof(f426,definition,(
% 0.13/0.39 ![X1]: (sQ57_spl <=> (greater(zero,growth_rate(X1,sK0_skl(sK2_skl,sK3_skl)))|~greater(resilience(efficient_producers),resilience(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f427,plain,(
% 0.13/0.39 ![X0]: (greater(zero,growth_rate(X0,sK0_skl(sK2_skl,sK3_skl)))|~greater(resilience(efficient_producers),resilience(X0))|~sQ57_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f426])).
% 0.13/0.39 fof(f429,plain,(
% 0.13/0.39 sQ56_spl|sQ57_spl|~sQ6_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f422,f423,f426,f97])).
% 0.13/0.39 fof(f430,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~sQ56_spl|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f424,f88])).
% 0.13/0.39 fof(f431,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ56_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f430,f69,f423,f87])).
% 0.13/0.39 fof(f432,plain,(
% 0.13/0.39 greater(zero,growth_rate(first_movers,sK0_skl(sK2_skl,sK3_skl)))|~sQ57_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f427,f57])).
% 0.13/0.39 fof(f433,plain,(
% 0.13/0.39 $false|sQ54_spl|~sQ57_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f432,f414])).
% 0.13/0.39 fof(f434,plain,(
% 0.13/0.39 sQ54_spl|~sQ57_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f433])).
% 0.13/0.39 fof(f435,plain,(
% 0.13/0.39 ![X0,X1]: (~environment(X0)|~in_environment(X0,sK0_skl(sK2_skl,sK3_skl))|greater(zero,growth_rate(X1,sK0_skl(sK2_skl,sK3_skl)))|~greater(resilience(first_movers),resilience(X1))|~sQ57_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f432,f56])).
% 0.13/0.39 fof(f437,definition,(
% 0.13/0.39 ![X1]: (sQ58_spl <=> (greater(zero,growth_rate(X1,sK0_skl(sK2_skl,sK3_skl)))|~greater(resilience(first_movers),resilience(X1))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f440,plain,(
% 0.13/0.39 sQ56_spl|sQ58_spl|~sQ57_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f435,f423,f437,f426])).
% 0.13/0.39 fof(f441,plain,(
% 0.13/0.39 ~environment(sK3_skl)|~in_environment(sK3_skl,sK0_skl(sK2_skl,sK3_skl))|~decreases(number_of_organizations(sK3_skl,sK0_skl(sK2_skl,sK3_skl)))|~sQ39_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f295,f52])).
% 0.13/0.39 fof(f442,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ4_spl|~sQ17_spl|~sQ39_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f441,f69,f87,f154,f294])).
% 0.13/0.39 fof(f443,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f78,f83,f85,f90,f95,f100,f105,f107,f160,f167,f171,f178,f197,f201,f207,f212,f220,f234,f245,f277,f282,f297,f342,f348,f355,f375,f398,f400,f406,f415,f429,f431,f434,f440,f442])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.40 % Elapsed time: 0.044719 seconds
% 0.13/0.40 % CPU time: 0.138053 seconds
% 0.13/0.40 % Total memory used: 51.846 MB
% 0.13/0.40 % Net memory used: 51.712 MB
%------------------------------------------------------------------------------