%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT026+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 : n003.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 01:25:43 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT026+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
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 01:23:15 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f1,axiom,(
% 0.13/0.40 (! [E,S1,S2,T] :( ( environment(E)& subpopulations(S1,S2,E,T)& greater(growth_rate(S2,T),growth_rate(S1,T)) )=> selection_favors(S2,S1,T) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f2,axiom,(
% 0.13/0.40 (! [E,S1,S2,T] :( ( environment(E)& subpopulation(S1,E,T)& subpopulation(S2,E,T)& greater(cardinality_at_time(S1,T),zero)& cardinality_at_time(S2,T) = zero )=> selection_favors(S1,S2,T) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f3,axiom,(
% 0.13/0.40 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater(cardinality_at_time(first_movers,T),zero)& greater(cardinality_at_time(efficient_producers,T),zero) )=> subpopulations(first_movers,efficient_producers,E,T) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f4,axiom,(
% 0.13/0.40 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> greater_or_equal(cardinality_at_time(first_movers,T),zero) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f5,axiom,(
% 0.13/0.40 (! [E,T] :( ( environment(E)& in_environment(E,T) )=> ( subpopulation(first_movers,E,T)& subpopulation(efficient_producers,E,T) ) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f6,axiom,(
% 0.13/0.40 (! [E] :( environment(E)=> greater_or_equal(critical_point(E),appear(efficient_producers,E)) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f7,axiom,(
% 0.13/0.40 (! [X,Y,Z] :( ( greater(X,Y)& greater(Y,Z) )=> greater(X,Z) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f8,axiom,(
% 0.13/0.40 (! [X,Y] :( greater_or_equal(X,Y)<=> ( greater(X,Y)| X = Y ) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f9,hypothesis,(
% 0.13/0.40 (! [E,Tc] :( ( environment(E)& Tc = critical_point(E) )=> ( ~ greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))& (! [T] :( ( subpopulations(first_movers,efficient_producers,E,T)& greater(T,Tc) )=> greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T)) ) )) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f10,hypothesis,(
% 0.13/0.40 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater_or_equal(T,appear(efficient_producers,E)) )=> greater(cardinality_at_time(efficient_producers,T),zero) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f11,conjecture,(
% 0.13/0.40 (! [E,T] :( ( environment(E)& in_environment(E,T)& greater(T,critical_point(E)) )=> selection_favors(efficient_producers,first_movers,T) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f12,negated_conjecture,(
% 0.13/0.40 ~((! [E,T] :( ( environment(E)& in_environment(E,T)& greater(T,critical_point(E)) )=> selection_favors(efficient_producers,first_movers,T) ) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f11])).
% 0.13/0.40 fof(f13,plain,(
% 0.13/0.40 ![E,S1,S2,T]: (((~environment(E)|~subpopulations(S1,S2,E,T))|~greater(growth_rate(S2,T),growth_rate(S1,T)))|selection_favors(S2,S1,T))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.13/0.40 fof(f14,plain,(
% 0.13/0.40 ![S1,S2,T]: (((![E]: (~environment(E)|~subpopulations(S1,S2,E,T)))|~greater(growth_rate(S2,T),growth_rate(S1,T)))|selection_favors(S2,S1,T))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f13])).
% 0.13/0.40 fof(f15,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~greater(growth_rate(X2,X3),growth_rate(X1,X3))|selection_favors(X2,X1,X3))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f14])).
% 0.13/0.40 fof(f16,plain,(
% 0.13/0.40 ![E,S1,S2,T]: (((((~environment(E)|~subpopulation(S1,E,T))|~subpopulation(S2,E,T))|~greater(cardinality_at_time(S1,T),zero))|~cardinality_at_time(S2,T)=zero)|selection_favors(S1,S2,T))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.13/0.40 fof(f17,plain,(
% 0.13/0.40 ![S1,S2,T]: ((((![E]: ((~environment(E)|~subpopulation(S1,E,T))|~subpopulation(S2,E,T)))|~greater(cardinality_at_time(S1,T),zero))|~cardinality_at_time(S2,T)=zero)|selection_favors(S1,S2,T))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f16])).
% 0.13/0.40 fof(f18,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulation(X1,X0,X2)|~subpopulation(X3,X0,X2)|~greater(cardinality_at_time(X1,X2),zero)|~cardinality_at_time(X3,X2)=zero|selection_favors(X1,X3,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.40 fof(f19,plain,(
% 0.13/0.40 ![E,T]: ((((~environment(E)|~in_environment(E,T))|~greater(cardinality_at_time(first_movers,T),zero))|~greater(cardinality_at_time(efficient_producers,T),zero))|subpopulations(first_movers,efficient_producers,E,T))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.13/0.40 fof(f20,plain,(
% 0.13/0.40 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(cardinality_at_time(first_movers,X1),zero)|~greater(cardinality_at_time(efficient_producers,X1),zero)|subpopulations(first_movers,efficient_producers,X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f19])).
% 0.13/0.40 fof(f21,plain,(
% 0.13/0.40 ![E,T]: ((~environment(E)|~in_environment(E,T))|greater_or_equal(cardinality_at_time(first_movers,T),zero))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.40 fof(f22,plain,(
% 0.13/0.40 ![T]: ((![E]: (~environment(E)|~in_environment(E,T)))|greater_or_equal(cardinality_at_time(first_movers,T),zero))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f21])).
% 0.13/0.40 fof(f23,plain,(
% 0.13/0.40 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(cardinality_at_time(first_movers,X1),zero))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.40 fof(f24,plain,(
% 0.13/0.40 ![E,T]: ((~environment(E)|~in_environment(E,T))|(subpopulation(first_movers,E,T)&subpopulation(efficient_producers,E,T)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.40 fof(f25,plain,(
% 0.13/0.40 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(first_movers,X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f26,plain,(
% 0.13/0.40 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(efficient_producers,X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.40 fof(f27,plain,(
% 0.13/0.40 ![E]: (~environment(E)|greater_or_equal(critical_point(E),appear(efficient_producers,E)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.13/0.40 fof(f28,plain,(
% 0.13/0.40 ![X0]: (~environment(X0)|greater_or_equal(critical_point(X0),appear(efficient_producers,X0)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f27])).
% 0.13/0.40 fof(f29,plain,(
% 0.13/0.40 ![X,Y,Z]: ((~greater(X,Y)|~greater(Y,Z))|greater(X,Z))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.13/0.40 fof(f30,plain,(
% 0.13/0.40 ![X,Z]: ((![Y]: (~greater(X,Y)|~greater(Y,Z)))|greater(X,Z))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f29])).
% 0.13/0.40 fof(f31,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~greater(X0,X1)|~greater(X1,X2)|greater(X0,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.40 fof(f32,plain,(
% 0.13/0.40 ![X,Y]: ((~greater_or_equal(X,Y)|(greater(X,Y)|X=Y))&(greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f8])).
% 0.13/0.40 fof(f33,plain,(
% 0.13/0.40 (![X,Y]: (~greater_or_equal(X,Y)|(greater(X,Y)|X=Y)))&(![X,Y]: (greater_or_equal(X,Y)|(~greater(X,Y)&~X=Y)))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f32])).
% 0.13/0.40 fof(f34,plain,(
% 0.13/0.40 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f35,plain,(
% 0.13/0.40 ![X0,X1]: (greater_or_equal(X0,X1)|~greater(X0,X1))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f33])).
% 0.13/0.40 fof(f37,plain,(
% 0.13/0.40 ![E,Tc]: ((~environment(E)|~Tc=critical_point(E))|(~greater(growth_rate(efficient_producers,Tc),growth_rate(first_movers,Tc))&(![T]: ((~subpopulations(first_movers,efficient_producers,E,T)|~greater(T,Tc))|greater(growth_rate(efficient_producers,T),growth_rate(first_movers,T))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.40 fof(f39,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~environment(X0)|~X1=critical_point(X0)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,X1)|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f37])).
% 0.13/0.40 fof(f40,plain,(
% 0.13/0.40 ![E,T]: (((~environment(E)|~in_environment(E,T))|~greater_or_equal(T,appear(efficient_producers,E)))|greater(cardinality_at_time(efficient_producers,T),zero))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.13/0.40 fof(f41,plain,(
% 0.13/0.40 ![T]: ((![E]: ((~environment(E)|~in_environment(E,T))|~greater_or_equal(T,appear(efficient_producers,E))))|greater(cardinality_at_time(efficient_producers,T),zero))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f40])).
% 0.13/0.40 fof(f42,plain,(
% 0.13/0.40 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater_or_equal(X1,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f41])).
% 0.13/0.40 fof(f43,plain,(
% 0.13/0.40 (?[E,T]: (((environment(E)&in_environment(E,T))&greater(T,critical_point(E)))&~selection_favors(efficient_producers,first_movers,T)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.13/0.40 fof(f44,plain,(
% 0.13/0.40 ?[T]: ((?[E]: ((environment(E)&in_environment(E,T))&greater(T,critical_point(E))))&~selection_favors(efficient_producers,first_movers,T))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f43])).
% 0.13/0.40 fof(f45,plain,(
% 0.13/0.40 (((environment(sK1_skl)&in_environment(sK1_skl,sK0_skl))&greater(sK0_skl,critical_point(sK1_skl)))&~selection_favors(efficient_producers,first_movers,sK0_skl))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl),skolemize(E,sK1_skl)],[f44])).
% 0.13/0.40 fof(f46,plain,(
% 0.13/0.40 environment(sK1_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.40 fof(f47,plain,(
% 0.13/0.40 in_environment(sK1_skl,sK0_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.40 fof(f48,plain,(
% 0.13/0.40 greater(sK0_skl,critical_point(sK1_skl))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.40 fof(f49,plain,(
% 0.13/0.40 ~selection_favors(efficient_producers,first_movers,sK0_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f45])).
% 0.13/0.40 fof(f52,plain,(
% 0.13/0.40 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater(X1,critical_point(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.13/0.40 inference(destructive_equality_resolution,[status(thm)],[f39])).
% 0.13/0.40 fof(f53,plain,(
% 0.13/0.40 ![X0]: (~greater(critical_point(sK1_skl),X0)|greater(sK0_skl,X0))),
% 0.13/0.40 inference(resolution,[status(thm)],[f31,f48])).
% 0.13/0.40 fof(f54,plain,(
% 0.13/0.40 ~environment(sK1_skl)|greater_or_equal(cardinality_at_time(first_movers,sK0_skl),zero)),
% 0.13/0.40 inference(resolution,[status(thm)],[f23,f47])).
% 0.13/0.40 fof(f55,definition,(
% 0.13/0.40 sQ0_spl <=> (environment(sK1_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f57,plain,(
% 0.13/0.40 ~environment(sK1_skl)|sQ0_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f55])).
% 0.13/0.40 fof(f58,definition,(
% 0.13/0.40 sQ1_spl <=> (greater_or_equal(cardinality_at_time(first_movers,sK0_skl),zero))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f59,plain,(
% 0.13/0.40 greater_or_equal(cardinality_at_time(first_movers,sK0_skl),zero)|~sQ1_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f58])).
% 0.13/0.40 fof(f61,plain,(
% 0.13/0.40 ~sQ0_spl|sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f54,f55,f58])).
% 0.13/0.40 fof(f62,plain,(
% 0.13/0.40 $false|sQ0_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f57,f46])).
% 0.13/0.40 fof(f63,plain,(
% 0.13/0.40 sQ0_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f62])).
% 0.13/0.40 fof(f64,plain,(
% 0.13/0.40 greater_or_equal(sK0_skl,critical_point(sK1_skl))),
% 0.13/0.40 inference(resolution,[status(thm)],[f35,f48])).
% 0.13/0.40 fof(f65,plain,(
% 0.13/0.40 ~environment(sK1_skl)|~greater(cardinality_at_time(first_movers,sK0_skl),zero)|~greater(cardinality_at_time(efficient_producers,sK0_skl),zero)|subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f20,f47])).
% 0.13/0.40 fof(f66,definition,(
% 0.13/0.40 sQ2_spl <=> (greater(cardinality_at_time(first_movers,sK0_skl),zero))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f69,definition,(
% 0.13/0.40 sQ3_spl <=> (greater(cardinality_at_time(efficient_producers,sK0_skl),zero))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f72,definition,(
% 0.13/0.40 sQ4_spl <=> (subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f73,plain,(
% 0.13/0.40 subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)|~sQ4_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f72])).
% 0.13/0.40 fof(f75,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ4_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f65,f55,f66,f69,f72])).
% 0.13/0.40 fof(f76,plain,(
% 0.13/0.40 ~environment(sK1_skl)|subpopulation(first_movers,sK1_skl,sK0_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f25,f47])).
% 0.13/0.40 fof(f77,definition,(
% 0.13/0.40 sQ5_spl <=> (subpopulation(first_movers,sK1_skl,sK0_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f78,plain,(
% 0.13/0.40 subpopulation(first_movers,sK1_skl,sK0_skl)|~sQ5_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f77])).
% 0.13/0.40 fof(f80,plain,(
% 0.13/0.40 ~sQ0_spl|sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f76,f55,f77])).
% 0.13/0.40 fof(f81,plain,(
% 0.13/0.40 ~environment(sK1_skl)|subpopulation(efficient_producers,sK1_skl,sK0_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f26,f47])).
% 0.13/0.40 fof(f82,definition,(
% 0.13/0.40 sQ6_spl <=> (subpopulation(efficient_producers,sK1_skl,sK0_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f83,plain,(
% 0.13/0.40 subpopulation(efficient_producers,sK1_skl,sK0_skl)|~sQ6_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f82])).
% 0.13/0.40 fof(f85,plain,(
% 0.13/0.40 ~sQ0_spl|sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f81,f55,f82])).
% 0.13/0.40 fof(f86,plain,(
% 0.13/0.40 greater_or_equal(critical_point(sK1_skl),appear(efficient_producers,sK1_skl))),
% 0.13/0.40 inference(resolution,[status(thm)],[f28,f46])).
% 0.13/0.40 fof(f88,plain,(
% 0.13/0.40 greater(sK0_skl,critical_point(sK1_skl))|sK0_skl=critical_point(sK1_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f34,f64])).
% 0.13/0.40 fof(f90,definition,(
% 0.13/0.40 sQ7_spl <=> (greater(sK0_skl,critical_point(sK1_skl)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f92,plain,(
% 0.13/0.40 ~greater(sK0_skl,critical_point(sK1_skl))|sQ7_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f90])).
% 0.13/0.40 fof(f93,definition,(
% 0.13/0.40 sQ8_spl <=> (sK0_skl=critical_point(sK1_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f94,plain,(
% 0.13/0.40 sK0_skl=critical_point(sK1_skl)|~sQ8_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.40 fof(f96,plain,(
% 0.13/0.40 sQ7_spl|sQ8_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f88,f90,f93])).
% 0.13/0.40 fof(f98,plain,(
% 0.13/0.40 greater(sK0_skl,sK0_skl)|~sQ8_spl),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f94,f48])).
% 0.13/0.40 fof(f111,plain,(
% 0.13/0.40 ![X0]: (~environment(sK1_skl)|~subpopulation(X0,sK1_skl,sK0_skl)|~greater(cardinality_at_time(first_movers,sK0_skl),zero)|~cardinality_at_time(X0,sK0_skl)=zero|selection_favors(first_movers,X0,sK0_skl)|~sQ5_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f78,f18])).
% 0.13/0.40 fof(f112,definition,(
% 0.13/0.40 ![X0]: (sQ11_spl <=> (~subpopulation(X0,sK1_skl,sK0_skl)|~cardinality_at_time(X0,sK0_skl)=zero|selection_favors(first_movers,X0,sK0_skl)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f113,plain,(
% 0.13/0.40 ![X0]: (~subpopulation(X0,sK1_skl,sK0_skl)|~cardinality_at_time(X0,sK0_skl)=zero|selection_favors(first_movers,X0,sK0_skl)|~sQ11_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f112])).
% 0.13/0.40 fof(f115,plain,(
% 0.13/0.40 ~sQ0_spl|sQ11_spl|~sQ2_spl|~sQ5_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f111,f55,f112,f66,f77])).
% 0.13/0.40 fof(f116,plain,(
% 0.13/0.40 ![X0]: (~environment(sK1_skl)|~subpopulation(X0,sK1_skl,sK0_skl)|~greater(cardinality_at_time(efficient_producers,sK0_skl),zero)|~cardinality_at_time(X0,sK0_skl)=zero|selection_favors(efficient_producers,X0,sK0_skl)|~sQ6_spl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f83,f18])).
% 0.13/0.40 fof(f117,definition,(
% 0.13/0.40 ![X0]: (sQ12_spl <=> (~subpopulation(X0,sK1_skl,sK0_skl)|~cardinality_at_time(X0,sK0_skl)=zero|selection_favors(efficient_producers,X0,sK0_skl)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f118,plain,(
% 0.13/0.40 ![X0]: (~subpopulation(X0,sK1_skl,sK0_skl)|~cardinality_at_time(X0,sK0_skl)=zero|selection_favors(efficient_producers,X0,sK0_skl)|~sQ12_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f117])).
% 0.13/0.40 fof(f120,plain,(
% 0.13/0.40 ~sQ0_spl|sQ12_spl|~sQ3_spl|~sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f116,f55,f117,f69,f82])).
% 0.13/0.40 fof(f123,plain,(
% 0.13/0.40 greater(cardinality_at_time(first_movers,sK0_skl),zero)|cardinality_at_time(first_movers,sK0_skl)=zero|~sQ1_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f59,f34])).
% 0.13/0.40 fof(f124,definition,(
% 0.13/0.40 sQ13_spl <=> (cardinality_at_time(first_movers,sK0_skl)=zero)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f127,plain,(
% 0.13/0.40 sQ2_spl|sQ13_spl|~sQ1_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f123,f66,f124,f58])).
% 0.13/0.40 fof(f131,plain,(
% 0.13/0.40 greater(critical_point(sK1_skl),appear(efficient_producers,sK1_skl))|critical_point(sK1_skl)=appear(efficient_producers,sK1_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f86,f34])).
% 0.13/0.40 fof(f139,definition,(
% 0.13/0.40 sQ16_spl <=> (greater(critical_point(sK1_skl),appear(efficient_producers,sK1_skl)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f140,plain,(
% 0.13/0.40 greater(critical_point(sK1_skl),appear(efficient_producers,sK1_skl))|~sQ16_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f139])).
% 0.13/0.40 fof(f142,definition,(
% 0.13/0.40 sQ17_spl <=> (critical_point(sK1_skl)=appear(efficient_producers,sK1_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f143,plain,(
% 0.13/0.40 critical_point(sK1_skl)=appear(efficient_producers,sK1_skl)|~sQ17_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.40 fof(f145,plain,(
% 0.13/0.40 sQ16_spl|sQ17_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f131,f139,f142])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ~cardinality_at_time(efficient_producers,sK0_skl)=zero|selection_favors(first_movers,efficient_producers,sK0_skl)|~sQ11_spl|~sQ6_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f113,f83])).
% 0.13/0.40 fof(f150,definition,(
% 0.13/0.40 sQ18_spl <=> (cardinality_at_time(efficient_producers,sK0_skl)=zero)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f153,definition,(
% 0.13/0.40 sQ19_spl <=> (selection_favors(first_movers,efficient_producers,sK0_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f156,plain,(
% 0.13/0.40 ~sQ18_spl|sQ19_spl|~sQ11_spl|~sQ6_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f148,f150,f153,f112,f82])).
% 0.13/0.40 fof(f161,plain,(
% 0.13/0.40 greater(sK0_skl,appear(efficient_producers,sK1_skl))|~sQ16_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f140,f53])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 greater_or_equal(sK0_skl,appear(efficient_producers,sK1_skl))|~sQ16_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f161,f35])).
% 0.13/0.40 fof(f166,plain,(
% 0.13/0.40 ~environment(sK1_skl)|~in_environment(sK1_skl,sK0_skl)|greater(cardinality_at_time(efficient_producers,sK0_skl),zero)|~sQ16_spl),
% 0.13/0.40 inference(resolution,[status(thm)],[f164,f42])).
% 0.13/0.40 fof(f168,definition,(
% 0.13/0.40 sQ21_spl <=> (in_environment(sK1_skl,sK0_skl))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f170,plain,(
% 0.13/0.40 ~in_environment(sK1_skl,sK0_skl)|sQ21_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f168])).
% 0.13/0.40 fof(f171,plain,(
% 0.13/0.40 ~sQ0_spl|~sQ21_spl|sQ3_spl|~sQ16_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f166,f55,f168,f69,f139])).
% 0.13/0.40 fof(f179,plain,(
% 0.13/0.40 $false|sQ21_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f170,f47])).
% 0.13/0.40 fof(f180,plain,(
% 0.13/0.40 sQ21_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f179])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 ![X0]: (~environment(sK1_skl)|~in_environment(sK1_skl,X0)|~greater_or_equal(X0,critical_point(sK1_skl))|greater(cardinality_at_time(efficient_producers,X0),zero)|~sQ17_spl)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f143,f42])).
% 0.13/0.40 fof(f184,definition,(
% 0.13/0.40 ![X0]: (sQ24_spl <=> (~in_environment(sK1_skl,X0)|~greater_or_equal(X0,critical_point(sK1_skl))|greater(cardinality_at_time(efficient_producers,X0),zero)))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f185,plain,(
% 0.13/0.40 ![X0]: (~in_environment(sK1_skl,X0)|~greater_or_equal(X0,critical_point(sK1_skl))|greater(cardinality_at_time(efficient_producers,X0),zero)|~sQ24_spl)),
% 0.13/0.40 inference(component_clause,[status(thm)],[f184])).
% 0.13/0.40 fof(f187,plain,(
% 0.13/0.40 ~sQ0_spl|sQ24_spl|~sQ17_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f183,f55,f184,f142])).
% 0.13/0.41 fof(f188,plain,(
% 0.13/0.41 ~cardinality_at_time(efficient_producers,sK0_skl)=zero|selection_favors(efficient_producers,efficient_producers,sK0_skl)|~sQ12_spl|~sQ6_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f118,f83])).
% 0.13/0.41 fof(f189,plain,(
% 0.13/0.41 ~cardinality_at_time(first_movers,sK0_skl)=zero|selection_favors(efficient_producers,first_movers,sK0_skl)|~sQ12_spl|~sQ5_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f118,f78])).
% 0.13/0.41 fof(f190,definition,(
% 0.13/0.41 sQ25_spl <=> (selection_favors(efficient_producers,efficient_producers,sK0_skl))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f193,plain,(
% 0.13/0.41 ~sQ18_spl|sQ25_spl|~sQ12_spl|~sQ6_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f188,f150,f190,f117,f82])).
% 0.13/0.41 fof(f194,definition,(
% 0.13/0.41 sQ26_spl <=> (selection_favors(efficient_producers,first_movers,sK0_skl))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f195,plain,(
% 0.13/0.41 selection_favors(efficient_producers,first_movers,sK0_skl)|~sQ26_spl),
% 0.13/0.41 inference(component_clause,[status(thm)],[f194])).
% 0.13/0.41 fof(f197,plain,(
% 0.13/0.41 ~sQ13_spl|sQ26_spl|~sQ12_spl|~sQ5_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f189,f124,f194,f117,f77])).
% 0.13/0.41 fof(f198,plain,(
% 0.13/0.41 ~in_environment(sK1_skl,sK0_skl)|greater(cardinality_at_time(efficient_producers,sK0_skl),zero)|~sQ24_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f185,f64])).
% 0.13/0.41 fof(f200,plain,(
% 0.13/0.41 ~sQ21_spl|sQ3_spl|~sQ24_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f198,f168,f69,f184])).
% 0.13/0.41 fof(f202,plain,(
% 0.13/0.41 ~environment(sK1_skl)|~greater(sK0_skl,critical_point(sK1_skl))|greater(growth_rate(efficient_producers,sK0_skl),growth_rate(first_movers,sK0_skl))|~sQ4_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f73,f52])).
% 0.13/0.41 fof(f203,plain,(
% 0.13/0.41 ~environment(sK1_skl)|~greater(growth_rate(efficient_producers,sK0_skl),growth_rate(first_movers,sK0_skl))|selection_favors(efficient_producers,first_movers,sK0_skl)|~sQ4_spl),
% 0.13/0.41 inference(resolution,[status(thm)],[f73,f15])).
% 0.13/0.41 fof(f204,definition,(
% 0.13/0.41 sQ27_spl <=> (greater(growth_rate(efficient_producers,sK0_skl),growth_rate(first_movers,sK0_skl)))),
% 0.13/0.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.13/0.41 fof(f207,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ7_spl|sQ27_spl|~sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f202,f55,f90,f204,f72])).
% 0.13/0.41 fof(f208,plain,(
% 0.13/0.41 ~sQ0_spl|~sQ27_spl|sQ26_spl|~sQ4_spl),
% 0.13/0.41 inference(split_clause,[status(thm)],[f203,f55,f204,f194,f72])).
% 0.13/0.41 fof(f209,plain,(
% 0.13/0.41 $false|~sQ26_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f195,f49])).
% 0.13/0.41 fof(f210,plain,(
% 0.13/0.41 ~sQ26_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f209])).
% 0.13/0.41 fof(f221,plain,(
% 0.13/0.41 ~greater(sK0_skl,sK0_skl)|~sQ8_spl|sQ7_spl),
% 0.13/0.41 inference(forward_demodulation,[status(thm)],[f94,f92])).
% 0.13/0.41 fof(f222,plain,(
% 0.13/0.41 $false|~sQ8_spl|sQ7_spl),
% 0.13/0.41 inference(forward_subsumption_resolution,[status(thm)],[f221,f98])).
% 0.13/0.41 fof(f223,plain,(
% 0.13/0.41 ~sQ8_spl|sQ7_spl),
% 0.13/0.41 inference(contradiction_clause,[status(thm)],[f222])).
% 0.13/0.41 fof(f224,plain,(
% 0.13/0.41 $false),
% 0.13/0.41 inference(sat_refutation,[status(thm)],[f61,f63,f75,f80,f85,f96,f115,f120,f127,f145,f156,f171,f180,f187,f193,f197,f200,f207,f208,f210,f223])).
% 0.13/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.049213 seconds
% 0.13/0.41 % CPU time: 0.151028 seconds
% 0.13/0.41 % Total memory used: 63.554 MB
% 0.13/0.41 % Net memory used: 63.194 MB
%------------------------------------------------------------------------------