TSTP Solution File: MGT025+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:21:13 EDT 2023
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:58:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (! [E,X,T] :( ( environment(E)& subpopulation(X,E,T)& ( greater(cardinality_at_time(X,T),zero)=> ( X = efficient_producers| X = first_movers ) ) )=> number_of_organizations(E,T) = sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> ( subpopulation(first_movers,E,T)& subpopulation(efficient_producers,E,T) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (! [A,B,C] :( ( A = sum(B,C)& constant(A) )=> ( ( constant(B)& constant(C) )| ( increases(B)& decreases(C) )| ( decreases(B)& increases(C) ) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (! [X,E,T] :( ( environment(E)& in_environment(E,T)& subpopulation(X,E,T)& greater(cardinality_at_time(X,T),zero) )=> ( ( constant(cardinality_at_time(X,T))=> growth_rate(X,T) = zero )& ( increases(cardinality_at_time(X,T))=> greater(growth_rate(X,T),zero) )& ( decreases(cardinality_at_time(X,T))=> greater(zero,growth_rate(X,T)) ) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f5,axiom,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> ( greater(cardinality_at_time(first_movers,T),zero)& greater(cardinality_at_time(efficient_producers,T),zero) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f6,axiom,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> in_environment(E,T) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f8,conjecture,(
% 0.13/0.36 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T)& constant(number_of_organizations(E,T)) )=> ( ( growth_rate(first_movers,T) = zero& growth_rate(efficient_producers,T) = zero )| ( greater(growth_rate(first_movers,T),zero)& greater(zero,growth_rate(efficient_producers,T)) )| ( greater(growth_rate(efficient_producers,T),zero)& greater(zero,growth_rate(first_movers,T)) ) ) ) )),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f9,negated_conjecture,(
% 0.13/0.36 ~((! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T)& constant(number_of_organizations(E,T)) )=> ( ( growth_rate(first_movers,T) = zero& growth_rate(efficient_producers,T) = zero )| ( greater(growth_rate(first_movers,T),zero)& greater(zero,growth_rate(efficient_producers,T)) )| ( greater(growth_rate(efficient_producers,T),zero)& greater(zero,growth_rate(first_movers,T)) ) ) ) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f8])).
% 0.13/0.36 fof(f10,plain,(
% 0.13/0.36 ![E,X,T]: (((~environment(E)|~subpopulation(X,E,T))|(greater(cardinality_at_time(X,T),zero)&(~X=efficient_producers&~X=first_movers)))|number_of_organizations(E,T)=sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![E,T]: ((![X]: ((~environment(E)|~subpopulation(X,E,T))|(greater(cardinality_at_time(X,T),zero)&(~X=efficient_producers&~X=first_movers))))|number_of_organizations(E,T)=sum(cardinality_at_time(first_movers,T),cardinality_at_time(efficient_producers,T)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f10])).
% 0.13/0.36 fof(f14,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~subpopulation(X1,X0,X2)|~X1=first_movers|number_of_organizations(X0,X2)=sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f11])).
% 0.13/0.36 fof(f15,plain,(
% 0.13/0.36 ![E,T]: ((~environment(E)|~in_environment(E,T))|(subpopulation(first_movers,E,T)&subpopulation(efficient_producers,E,T)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.13/0.36 fof(f16,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(first_movers,X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(efficient_producers,X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 ![A,B,C]: ((~A=sum(B,C)|~constant(A))|(((constant(B)&constant(C))|(increases(B)&decreases(C)))|(decreases(B)&increases(C))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 ![B,C]: (pd0_0(C,B)=>((constant(B)&constant(C))|(increases(B)&decreases(C))))),
% 0.13/0.36 introduced(predicate_definition,[f18])).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 ![A,B,C]: ((~A=sum(B,C)|~constant(A))|(pd0_0(C,B)|(decreases(B)&increases(C))))),
% 0.13/0.36 inference(formula_renaming,[status(thm)],[f18,f19])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 ![B,C]: ((![A]: (~A=sum(B,C)|~constant(A)))|(pd0_0(C,B)|(decreases(B)&increases(C))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f20])).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|pd0_0(X2,X1)|decreases(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|pd0_0(X2,X1)|increases(X2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 ![X,E,T]: ((((~environment(E)|~in_environment(E,T))|~subpopulation(X,E,T))|~greater(cardinality_at_time(X,T),zero))|(((~constant(cardinality_at_time(X,T))|growth_rate(X,T)=zero)&(~increases(cardinality_at_time(X,T))|greater(growth_rate(X,T),zero)))&(~decreases(cardinality_at_time(X,T))|greater(zero,growth_rate(X,T)))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f25,plain,(
% 0.13/0.36 ![X,T]: (((![E]: ((~environment(E)|~in_environment(E,T))|~subpopulation(X,E,T)))|~greater(cardinality_at_time(X,T),zero))|(((~constant(cardinality_at_time(X,T))|growth_rate(X,T)=zero)&(~increases(cardinality_at_time(X,T))|greater(growth_rate(X,T),zero)))&(~decreases(cardinality_at_time(X,T))|greater(zero,growth_rate(X,T)))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f24])).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~subpopulation(X2,X0,X1)|~greater(cardinality_at_time(X2,X1),zero)|~constant(cardinality_at_time(X2,X1))|growth_rate(X2,X1)=zero)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.36 fof(f27,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~subpopulation(X2,X0,X1)|~greater(cardinality_at_time(X2,X1),zero)|~increases(cardinality_at_time(X2,X1))|greater(growth_rate(X2,X1),zero))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.36 fof(f28,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~subpopulation(X2,X0,X1)|~greater(cardinality_at_time(X2,X1),zero)|~decreases(cardinality_at_time(X2,X1))|greater(zero,growth_rate(X2,X1)))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.36 fof(f29,plain,(
% 0.13/0.36 ![E,T]: ((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|(greater(cardinality_at_time(first_movers,T),zero)&greater(cardinality_at_time(efficient_producers,T),zero)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.13/0.36 fof(f30,plain,(
% 0.13/0.36 ![T]: ((![E]: (~environment(E)|~subpopulations(first_movers,efficient_producers,E,T)))|(greater(cardinality_at_time(first_movers,T),zero)&greater(cardinality_at_time(efficient_producers,T),zero)))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f29])).
% 0.13/0.36 fof(f31,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|greater(cardinality_at_time(first_movers,X1),zero))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f30])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 ![E,T]: ((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|in_environment(E,T))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 (?[E,T]: (((environment(E)&subpopulations(first_movers,efficient_producers,E,T))&constant(number_of_organizations(E,T)))&(((~growth_rate(first_movers,T)=zero|~growth_rate(efficient_producers,T)=zero)&(~greater(growth_rate(first_movers,T),zero)|~greater(zero,growth_rate(efficient_producers,T))))&(~greater(growth_rate(efficient_producers,T),zero)|~greater(zero,growth_rate(first_movers,T))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 ?[T]: ((?[E]: ((environment(E)&subpopulations(first_movers,efficient_producers,E,T))&constant(number_of_organizations(E,T))))&(((~growth_rate(first_movers,T)=zero|~growth_rate(efficient_producers,T)=zero)&(~greater(growth_rate(first_movers,T),zero)|~greater(zero,growth_rate(efficient_producers,T))))&(~greater(growth_rate(efficient_producers,T),zero)|~greater(zero,growth_rate(first_movers,T)))))),
% 0.13/0.36 inference(miniscoping,[status(esa)],[f38])).
% 0.13/0.36 fof(f40,plain,(
% 0.13/0.36 (((environment(sk0_1)&subpopulations(first_movers,efficient_producers,sk0_1,sk0_0))&constant(number_of_organizations(sk0_1,sk0_0)))&(((~growth_rate(first_movers,sk0_0)=zero|~growth_rate(efficient_producers,sk0_0)=zero)&(~greater(growth_rate(first_movers,sk0_0),zero)|~greater(zero,growth_rate(efficient_producers,sk0_0))))&(~greater(growth_rate(efficient_producers,sk0_0),zero)|~greater(zero,growth_rate(first_movers,sk0_0)))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f39])).
% 0.13/0.36 fof(f41,plain,(
% 0.13/0.36 environment(sk0_1)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f42,plain,(
% 0.13/0.36 subpopulations(first_movers,efficient_producers,sk0_1,sk0_0)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f43,plain,(
% 0.13/0.36 constant(number_of_organizations(sk0_1,sk0_0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f44,plain,(
% 0.13/0.36 ~growth_rate(first_movers,sk0_0)=zero|~growth_rate(efficient_producers,sk0_0)=zero),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f45,plain,(
% 0.13/0.36 ~greater(growth_rate(first_movers,sk0_0),zero)|~greater(zero,growth_rate(efficient_producers,sk0_0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 ~greater(growth_rate(efficient_producers,sk0_0),zero)|~greater(zero,growth_rate(first_movers,sk0_0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f40])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 ![B,C]: (~pd0_0(C,B)|((constant(B)&constant(C))|(increases(B)&decreases(C))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 ![B,C]: (pd0_1(C,B)=>(constant(B)&constant(C)))),
% 0.13/0.36 introduced(predicate_definition,[f47])).
% 0.13/0.36 fof(f49,plain,(
% 0.13/0.36 ![B,C]: (~pd0_0(C,B)|(pd0_1(C,B)|(increases(B)&decreases(C))))),
% 0.13/0.36 inference(formula_renaming,[status(thm)],[f47,f48])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 ![X0,X1]: (~pd0_0(X0,X1)|pd0_1(X0,X1)|increases(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 ![X0,X1]: (~pd0_0(X0,X1)|pd0_1(X0,X1)|decreases(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f49])).
% 0.13/0.36 fof(f52,plain,(
% 0.13/0.36 ![B,C]: (~pd0_1(C,B)|(constant(B)&constant(C)))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f48])).
% 0.13/0.36 fof(f53,plain,(
% 0.13/0.36 ![X0,X1]: (~pd0_1(X0,X1)|constant(X1))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f52])).
% 0.13/0.36 fof(f54,plain,(
% 0.13/0.36 ![X0,X1]: (~pd0_1(X0,X1)|constant(X0))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f52])).
% 0.13/0.36 fof(f55,plain,(
% 0.13/0.36 spl0_0 <=> growth_rate(first_movers,sk0_0)=zero),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 spl0_1 <=> growth_rate(efficient_producers,sk0_0)=zero),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f61,plain,(
% 0.13/0.36 ~spl0_0|~spl0_1),
% 0.13/0.36 inference(split_clause,[status(thm)],[f44,f55,f58])).
% 0.13/0.36 fof(f62,plain,(
% 0.13/0.36 spl0_2 <=> greater(growth_rate(first_movers,sk0_0),zero)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f65,plain,(
% 0.13/0.36 spl0_3 <=> greater(zero,growth_rate(efficient_producers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f68,plain,(
% 0.13/0.36 ~spl0_2|~spl0_3),
% 0.13/0.36 inference(split_clause,[status(thm)],[f45,f62,f65])).
% 0.13/0.36 fof(f69,plain,(
% 0.13/0.36 spl0_4 <=> greater(growth_rate(efficient_producers,sk0_0),zero)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f72,plain,(
% 0.13/0.36 spl0_5 <=> greater(zero,growth_rate(first_movers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f75,plain,(
% 0.13/0.36 ~spl0_4|~spl0_5),
% 0.13/0.36 inference(split_clause,[status(thm)],[f46,f69,f72])).
% 0.13/0.36 fof(f77,plain,(
% 0.13/0.36 ![X0,X1]: (~environment(X0)|~subpopulation(first_movers,X0,X1)|number_of_organizations(X0,X1)=sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f14])).
% 0.13/0.36 fof(f78,plain,(
% 0.13/0.36 ![X0,X1]: (~constant(sum(X0,X1))|pd0_0(X1,X0)|decreases(X0))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f22])).
% 0.13/0.36 fof(f79,plain,(
% 0.13/0.36 ![X0,X1]: (~constant(sum(X0,X1))|pd0_0(X1,X0)|increases(X1))),
% 0.13/0.36 inference(destructive_equality_resolution,[status(esa)],[f23])).
% 0.13/0.36 fof(f80,plain,(
% 0.13/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,sk0_1,X0)|in_environment(sk0_1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f34,f41])).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 in_environment(sk0_1,sk0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f80,f42])).
% 0.13/0.36 fof(f82,plain,(
% 0.13/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,sk0_1,X0)|greater(cardinality_at_time(first_movers,X0),zero))),
% 0.13/0.36 inference(resolution,[status(thm)],[f31,f41])).
% 0.13/0.36 fof(f83,plain,(
% 0.13/0.36 greater(cardinality_at_time(first_movers,sk0_0),zero)),
% 0.13/0.36 inference(resolution,[status(thm)],[f82,f42])).
% 0.13/0.36 fof(f84,plain,(
% 0.13/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,sk0_1,X0)|greater(cardinality_at_time(efficient_producers,X0),zero))),
% 0.13/0.36 inference(resolution,[status(thm)],[f32,f41])).
% 0.13/0.36 fof(f85,plain,(
% 0.13/0.36 greater(cardinality_at_time(efficient_producers,sk0_0),zero)),
% 0.13/0.36 inference(resolution,[status(thm)],[f84,f42])).
% 0.13/0.36 fof(f86,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk0_1,X0)|subpopulation(first_movers,sk0_1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f16,f41])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 subpopulation(first_movers,sk0_1,sk0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f86,f81])).
% 0.13/0.36 fof(f88,plain,(
% 0.13/0.36 spl0_6 <=> environment(sk0_1)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f90,plain,(
% 0.13/0.36 ~environment(sk0_1)|spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f88])).
% 0.13/0.36 fof(f91,plain,(
% 0.13/0.36 spl0_7 <=> number_of_organizations(sk0_1,sk0_0)=sum(cardinality_at_time(first_movers,sk0_0),cardinality_at_time(efficient_producers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f92,plain,(
% 0.13/0.36 number_of_organizations(sk0_1,sk0_0)=sum(cardinality_at_time(first_movers,sk0_0),cardinality_at_time(efficient_producers,sk0_0))|~spl0_7),
% 0.13/0.36 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.36 fof(f94,plain,(
% 0.13/0.36 ~environment(sk0_1)|number_of_organizations(sk0_1,sk0_0)=sum(cardinality_at_time(first_movers,sk0_0),cardinality_at_time(efficient_producers,sk0_0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f87,f77])).
% 0.13/0.36 fof(f95,plain,(
% 0.13/0.36 ~spl0_6|spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f94,f88,f91])).
% 0.13/0.36 fof(f96,plain,(
% 0.13/0.36 $false|spl0_6),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f90,f41])).
% 0.13/0.36 fof(f97,plain,(
% 0.13/0.36 spl0_6),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f96])).
% 0.13/0.36 fof(f98,plain,(
% 0.13/0.36 ![X0]: (~in_environment(sk0_1,X0)|subpopulation(efficient_producers,sk0_1,X0))),
% 0.13/0.36 inference(resolution,[status(thm)],[f17,f41])).
% 0.13/0.36 fof(f99,plain,(
% 0.13/0.36 subpopulation(efficient_producers,sk0_1,sk0_0)),
% 0.13/0.36 inference(resolution,[status(thm)],[f98,f81])).
% 0.13/0.36 fof(f103,plain,(
% 0.13/0.36 spl0_8 <=> greater(cardinality_at_time(efficient_producers,sk0_0),zero)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f105,plain,(
% 0.13/0.36 ~greater(cardinality_at_time(efficient_producers,sk0_0),zero)|spl0_8),
% 0.13/0.36 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 spl0_11 <=> greater(cardinality_at_time(first_movers,sk0_0),zero)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f116,plain,(
% 0.13/0.36 ~greater(cardinality_at_time(first_movers,sk0_0),zero)|spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f114])).
% 0.13/0.36 fof(f122,plain,(
% 0.13/0.36 $false|spl0_11),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f116,f83])).
% 0.13/0.36 fof(f123,plain,(
% 0.13/0.36 spl0_11),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f122])).
% 0.13/0.36 fof(f148,plain,(
% 0.13/0.36 spl0_13 <=> subpopulation(efficient_producers,sk0_1,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f150,plain,(
% 0.13/0.36 ~subpopulation(efficient_producers,sk0_1,sk0_0)|spl0_13),
% 0.13/0.36 inference(component_clause,[status(thm)],[f148])).
% 0.13/0.36 fof(f153,plain,(
% 0.13/0.36 $false|spl0_13),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f150,f99])).
% 0.13/0.36 fof(f154,plain,(
% 0.13/0.36 spl0_13),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f153])).
% 0.13/0.36 fof(f161,plain,(
% 0.13/0.36 spl0_15 <=> constant(number_of_organizations(sk0_1,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f163,plain,(
% 0.13/0.36 ~constant(number_of_organizations(sk0_1,sk0_0))|spl0_15),
% 0.13/0.36 inference(component_clause,[status(thm)],[f161])).
% 0.13/0.36 fof(f164,plain,(
% 0.13/0.36 spl0_16 <=> pd0_0(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f165,plain,(
% 0.13/0.36 pd0_0(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))|~spl0_16),
% 0.13/0.36 inference(component_clause,[status(thm)],[f164])).
% 0.13/0.36 fof(f167,plain,(
% 0.13/0.36 spl0_17 <=> increases(cardinality_at_time(efficient_producers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f168,plain,(
% 0.13/0.36 increases(cardinality_at_time(efficient_producers,sk0_0))|~spl0_17),
% 0.13/0.36 inference(component_clause,[status(thm)],[f167])).
% 0.13/0.36 fof(f170,plain,(
% 0.13/0.36 ~constant(number_of_organizations(sk0_1,sk0_0))|pd0_0(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))|increases(cardinality_at_time(efficient_producers,sk0_0))|~spl0_7),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f92,f79])).
% 0.13/0.36 fof(f171,plain,(
% 0.13/0.36 ~spl0_15|spl0_16|spl0_17|~spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f170,f161,f164,f167,f91])).
% 0.13/0.36 fof(f172,plain,(
% 0.13/0.36 spl0_18 <=> decreases(cardinality_at_time(first_movers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f173,plain,(
% 0.13/0.36 decreases(cardinality_at_time(first_movers,sk0_0))|~spl0_18),
% 0.13/0.36 inference(component_clause,[status(thm)],[f172])).
% 0.13/0.36 fof(f175,plain,(
% 0.13/0.36 ~constant(number_of_organizations(sk0_1,sk0_0))|pd0_0(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))|decreases(cardinality_at_time(first_movers,sk0_0))|~spl0_7),
% 0.13/0.36 inference(paramodulation,[status(thm)],[f92,f78])).
% 0.13/0.36 fof(f176,plain,(
% 0.13/0.36 ~spl0_15|spl0_16|spl0_18|~spl0_7),
% 0.13/0.36 inference(split_clause,[status(thm)],[f175,f161,f164,f172,f91])).
% 0.13/0.36 fof(f177,plain,(
% 0.13/0.36 $false|spl0_8),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f105,f85])).
% 0.13/0.36 fof(f178,plain,(
% 0.13/0.36 spl0_8),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f177])).
% 0.13/0.36 fof(f179,plain,(
% 0.13/0.36 $false|spl0_15),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f163,f43])).
% 0.13/0.36 fof(f180,plain,(
% 0.13/0.36 spl0_15),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f179])).
% 0.13/0.36 fof(f181,plain,(
% 0.13/0.36 spl0_19 <=> pd0_1(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f182,plain,(
% 0.13/0.36 pd0_1(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))|~spl0_19),
% 0.13/0.36 inference(component_clause,[status(thm)],[f181])).
% 0.13/0.36 fof(f184,plain,(
% 0.13/0.36 spl0_20 <=> decreases(cardinality_at_time(efficient_producers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f185,plain,(
% 0.13/0.36 decreases(cardinality_at_time(efficient_producers,sk0_0))|~spl0_20),
% 0.13/0.36 inference(component_clause,[status(thm)],[f184])).
% 0.13/0.36 fof(f187,plain,(
% 0.13/0.36 pd0_1(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))|decreases(cardinality_at_time(efficient_producers,sk0_0))|~spl0_16),
% 0.13/0.36 inference(resolution,[status(thm)],[f165,f51])).
% 0.13/0.36 fof(f188,plain,(
% 0.13/0.36 spl0_19|spl0_20|~spl0_16),
% 0.13/0.36 inference(split_clause,[status(thm)],[f187,f181,f184,f164])).
% 0.13/0.36 fof(f189,plain,(
% 0.13/0.36 spl0_21 <=> increases(cardinality_at_time(first_movers,sk0_0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f190,plain,(
% 0.13/0.36 increases(cardinality_at_time(first_movers,sk0_0))|~spl0_21),
% 0.13/0.36 inference(component_clause,[status(thm)],[f189])).
% 0.13/0.36 fof(f192,plain,(
% 0.13/0.36 pd0_1(cardinality_at_time(efficient_producers,sk0_0),cardinality_at_time(first_movers,sk0_0))|increases(cardinality_at_time(first_movers,sk0_0))|~spl0_16),
% 0.13/0.36 inference(resolution,[status(thm)],[f165,f50])).
% 0.13/0.36 fof(f193,plain,(
% 0.13/0.36 spl0_19|spl0_21|~spl0_16),
% 0.13/0.36 inference(split_clause,[status(thm)],[f192,f181,f189,f164])).
% 0.13/0.36 fof(f194,plain,(
% 0.13/0.36 spl0_22 <=> ~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(efficient_producers,X0,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f195,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(efficient_producers,X0,sk0_0)|~spl0_22)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f194])).
% 0.13/0.36 fof(f197,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(efficient_producers,X0,sk0_0)|~greater(cardinality_at_time(efficient_producers,sk0_0),zero)|greater(growth_rate(efficient_producers,sk0_0),zero)|~spl0_17)),
% 0.13/0.36 inference(resolution,[status(thm)],[f168,f27])).
% 0.13/0.36 fof(f198,plain,(
% 0.13/0.36 spl0_22|~spl0_8|spl0_4|~spl0_17),
% 0.13/0.36 inference(split_clause,[status(thm)],[f197,f194,f103,f69,f167])).
% 0.13/0.36 fof(f199,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~spl0_22)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f195,f17])).
% 0.13/0.36 fof(f200,plain,(
% 0.13/0.36 ~environment(sk0_1)|~spl0_22),
% 0.13/0.36 inference(resolution,[status(thm)],[f199,f81])).
% 0.13/0.36 fof(f201,plain,(
% 0.13/0.36 ~spl0_6|~spl0_22),
% 0.13/0.36 inference(split_clause,[status(thm)],[f200,f88,f194])).
% 0.13/0.36 fof(f202,plain,(
% 0.13/0.36 constant(cardinality_at_time(efficient_producers,sk0_0))|~spl0_19),
% 0.13/0.36 inference(resolution,[status(thm)],[f182,f54])).
% 0.13/0.36 fof(f203,plain,(
% 0.13/0.36 constant(cardinality_at_time(first_movers,sk0_0))|~spl0_19),
% 0.13/0.36 inference(resolution,[status(thm)],[f182,f53])).
% 0.13/0.36 fof(f208,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(efficient_producers,X0,sk0_0)|~greater(cardinality_at_time(efficient_producers,sk0_0),zero)|growth_rate(efficient_producers,sk0_0)=zero|~spl0_19)),
% 0.13/0.36 inference(resolution,[status(thm)],[f202,f26])).
% 0.13/0.36 fof(f209,plain,(
% 0.13/0.36 spl0_22|~spl0_8|spl0_1|~spl0_19),
% 0.13/0.36 inference(split_clause,[status(thm)],[f208,f194,f103,f58,f181])).
% 0.13/0.36 fof(f210,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(efficient_producers,X0,sk0_0)|~greater(cardinality_at_time(efficient_producers,sk0_0),zero)|greater(zero,growth_rate(efficient_producers,sk0_0))|~spl0_20)),
% 0.13/0.36 inference(resolution,[status(thm)],[f185,f28])).
% 0.13/0.36 fof(f211,plain,(
% 0.13/0.36 spl0_22|~spl0_8|spl0_3|~spl0_20),
% 0.13/0.36 inference(split_clause,[status(thm)],[f210,f194,f103,f65,f184])).
% 0.13/0.36 fof(f212,plain,(
% 0.13/0.36 spl0_23 <=> ~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(first_movers,X0,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f213,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(first_movers,X0,sk0_0)|~spl0_23)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f212])).
% 0.13/0.36 fof(f215,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(first_movers,X0,sk0_0)|~greater(cardinality_at_time(first_movers,sk0_0),zero)|greater(growth_rate(first_movers,sk0_0),zero)|~spl0_21)),
% 0.13/0.36 inference(resolution,[status(thm)],[f190,f27])).
% 0.13/0.36 fof(f216,plain,(
% 0.13/0.36 spl0_23|~spl0_11|spl0_2|~spl0_21),
% 0.13/0.36 inference(split_clause,[status(thm)],[f215,f212,f114,f62,f189])).
% 0.13/0.36 fof(f217,plain,(
% 0.13/0.36 spl0_24 <=> in_environment(sk0_1,sk0_0)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f219,plain,(
% 0.13/0.36 ~in_environment(sk0_1,sk0_0)|spl0_24),
% 0.13/0.36 inference(component_clause,[status(thm)],[f217])).
% 0.13/0.36 fof(f220,plain,(
% 0.13/0.36 ~environment(sk0_1)|~in_environment(sk0_1,sk0_0)|~spl0_23),
% 0.13/0.36 inference(resolution,[status(thm)],[f87,f213])).
% 0.13/0.36 fof(f221,plain,(
% 0.13/0.36 ~spl0_6|~spl0_24|~spl0_23),
% 0.13/0.36 inference(split_clause,[status(thm)],[f220,f88,f217,f212])).
% 0.13/0.36 fof(f222,plain,(
% 0.13/0.36 $false|spl0_24),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f219,f81])).
% 0.13/0.36 fof(f223,plain,(
% 0.13/0.36 spl0_24),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f222])).
% 0.13/0.36 fof(f224,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(first_movers,X0,sk0_0)|~greater(cardinality_at_time(first_movers,sk0_0),zero)|growth_rate(first_movers,sk0_0)=zero|~spl0_19)),
% 0.13/0.36 inference(resolution,[status(thm)],[f203,f26])).
% 0.13/0.36 fof(f225,plain,(
% 0.13/0.36 spl0_23|~spl0_11|spl0_0|~spl0_19),
% 0.13/0.36 inference(split_clause,[status(thm)],[f224,f212,f114,f55,f181])).
% 0.13/0.36 fof(f226,plain,(
% 0.13/0.36 ![X0]: (~environment(X0)|~in_environment(X0,sk0_0)|~subpopulation(first_movers,X0,sk0_0)|~greater(cardinality_at_time(first_movers,sk0_0),zero)|greater(zero,growth_rate(first_movers,sk0_0))|~spl0_18)),
% 0.19/0.37 inference(resolution,[status(thm)],[f173,f28])).
% 0.19/0.37 fof(f227,plain,(
% 0.19/0.37 spl0_23|~spl0_11|spl0_5|~spl0_18),
% 0.19/0.37 inference(split_clause,[status(thm)],[f226,f212,f114,f72,f172])).
% 0.19/0.37 fof(f228,plain,(
% 0.19/0.37 $false),
% 0.19/0.37 inference(sat_refutation,[status(thm)],[f61,f68,f75,f95,f97,f123,f154,f171,f176,f178,f180,f188,f193,f198,f201,f209,f211,f216,f221,f223,f225,f227])).
% 0.19/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.37 % Elapsed time: 0.023630 seconds
% 0.19/0.37 % CPU time: 0.042599 seconds
% 0.19/0.37 % Memory used: 11.742 MB
%------------------------------------------------------------------------------