%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT020+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 01:25:41 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT020+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:21:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (! [E,T] :( environment(E)=> ( ( in_environment(E,initial_FM_EP(E))=> subpopulations(first_movers,efficient_producers,E,initial_FM_EP(E)) )& ( subpopulations(first_movers,efficient_producers,E,T)=> greater_or_equal(T,initial_FM_EP(E)) ) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (! [E,T,T1,T2] :( ( environment(E)& greater_or_equal(T,T1)& greater_or_equal(T2,T)& subpopulations(first_movers,efficient_producers,E,T2)& greater(disbanding_rate(first_movers,T1),disbanding_rate(efficient_producers,T1)) )=> ( ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))=> greater(disbanding_rate(first_movers,T2),disbanding_rate(efficient_producers,T2)) ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f4,axiom,(
% 0.15/0.41 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> in_environment(E,T) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,axiom,(
% 0.15/0.41 (! [E] :( environment(E)=> greater_or_equal(initial_FM_EP(E),start_time(E)) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f6,axiom,(
% 0.15/0.41 (! [E,T1,T2] :( ( environment(E)& greater_or_equal(T1,start_time(E))& greater(T2,T1)& in_environment(E,T2) )=> in_environment(E,T1) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f8,axiom,(
% 0.15/0.41 (! [X,Y] :( greater_or_equal(X,Y)=> ( greater(X,Y)| X = Y ) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f9,hypothesis,(
% 0.15/0.41 (! [E] :( environment(E)=> greater(disbanding_rate(first_movers,initial_FM_EP(E)),disbanding_rate(efficient_producers,initial_FM_EP(E))) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f11,conjecture,(
% 0.15/0.41 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> greater(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)) ) )),
% 0.15/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f12,negated_conjecture,(
% 0.15/0.41 ~((! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> greater(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)) ) ))),
% 0.15/0.41 inference(negated_conjecture,[status(cth)],[f11])).
% 0.15/0.41 fof(f13,plain,(
% 0.15/0.41 ![E,T]: ((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|~decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.15/0.41 fof(f14,plain,(
% 0.15/0.41 ![T]: ((![E]: (~environment(E)|~subpopulations(first_movers,efficient_producers,E,T)))|~decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f13])).
% 0.15/0.41 fof(f15,plain,(
% 0.15/0.41 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/0.41 fof(f16,plain,(
% 0.15/0.41 ![E,T]: (~environment(E)|((~in_environment(E,initial_FM_EP(E))|subpopulations(first_movers,efficient_producers,E,initial_FM_EP(E)))&(~subpopulations(first_movers,efficient_producers,E,T)|greater_or_equal(T,initial_FM_EP(E)))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f17,plain,(
% 0.15/0.41 ![E]: (~environment(E)|((~in_environment(E,initial_FM_EP(E))|subpopulations(first_movers,efficient_producers,E,initial_FM_EP(E)))&(![T]: (~subpopulations(first_movers,efficient_producers,E,T)|greater_or_equal(T,initial_FM_EP(E))))))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f16])).
% 0.15/0.41 fof(f18,plain,(
% 0.15/0.41 ![X0]: (~environment(X0)|~in_environment(X0,initial_FM_EP(X0))|subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.41 fof(f19,plain,(
% 0.15/0.41 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|greater_or_equal(X1,initial_FM_EP(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/0.41 fof(f20,plain,(
% 0.15/0.41 ![E,T,T1,T2]: (((((~environment(E)|~greater_or_equal(T,T1))|~greater_or_equal(T2,T))|~subpopulations(first_movers,efficient_producers,E,T2))|~greater(disbanding_rate(first_movers,T1),disbanding_rate(efficient_producers,T1)))|(decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))|greater(disbanding_rate(first_movers,T2),disbanding_rate(efficient_producers,T2))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f21,plain,(
% 0.15/0.41 ![T,T2]: ((![T1]: ((![E]: (((~environment(E)|~greater_or_equal(T,T1))|~greater_or_equal(T2,T))|~subpopulations(first_movers,efficient_producers,E,T2)))|~greater(disbanding_rate(first_movers,T1),disbanding_rate(efficient_producers,T1))))|(decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))|greater(disbanding_rate(first_movers,T2),disbanding_rate(efficient_producers,T2))))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f20])).
% 0.15/0.41 fof(f22,plain,(
% 0.15/0.41 ![X0,X1,X2,X3]: (~environment(X0)|~greater_or_equal(X1,X2)|~greater_or_equal(X3,X1)|~subpopulations(first_movers,efficient_producers,X0,X3)|~greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))|decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))|greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/0.41 fof(f23,plain,(
% 0.15/0.41 ![E,T]: ((~environment(E)|~subpopulations(first_movers,efficient_producers,E,T))|in_environment(E,T))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.15/0.41 fof(f24,plain,(
% 0.15/0.41 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.15/0.41 fof(f25,plain,(
% 0.15/0.41 ![E]: (~environment(E)|greater_or_equal(initial_FM_EP(E),start_time(E)))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f26,plain,(
% 0.15/0.41 ![X0]: (~environment(X0)|greater_or_equal(initial_FM_EP(X0),start_time(X0)))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f25])).
% 0.15/0.41 fof(f27,plain,(
% 0.15/0.41 ![E,T1,T2]: ((((~environment(E)|~greater_or_equal(T1,start_time(E)))|~greater(T2,T1))|~in_environment(E,T2))|in_environment(E,T1))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.15/0.41 fof(f28,plain,(
% 0.15/0.41 ![E,T1]: ((![T2]: (((~environment(E)|~greater_or_equal(T1,start_time(E)))|~greater(T2,T1))|~in_environment(E,T2)))|in_environment(E,T1))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f27])).
% 0.15/0.41 fof(f29,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~environment(X0)|~greater_or_equal(X1,start_time(X0))|~greater(X2,X1)|~in_environment(X0,X2)|in_environment(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f28])).
% 0.15/0.41 fof(f33,plain,(
% 0.15/0.41 ![X,Y]: (~greater_or_equal(X,Y)|(greater(X,Y)|X=Y))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f8])).
% 0.15/0.41 fof(f34,plain,(
% 0.15/0.41 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f33])).
% 0.15/0.41 fof(f35,plain,(
% 0.15/0.41 ![E]: (~environment(E)|greater(disbanding_rate(first_movers,initial_FM_EP(E)),disbanding_rate(efficient_producers,initial_FM_EP(E))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.15/0.41 fof(f36,plain,(
% 0.15/0.41 ![X0]: (~environment(X0)|greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/0.41 fof(f40,plain,(
% 0.15/0.41 (?[E,T]: ((environment(E)&subpopulations(first_movers,efficient_producers,E,T))&~greater(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))),
% 0.15/0.41 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.15/0.41 fof(f41,plain,(
% 0.15/0.41 ?[T]: ((?[E]: (environment(E)&subpopulations(first_movers,efficient_producers,E,T)))&~greater(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f40])).
% 0.15/0.41 fof(f42,plain,(
% 0.15/0.41 ((environment(sK1_skl)&subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl))&~greater(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl)))),
% 0.15/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(T,sK0_skl),skolemize(E,sK1_skl)],[f41])).
% 0.15/0.41 fof(f43,plain,(
% 0.15/0.41 environment(sK1_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.15/0.41 fof(f44,plain,(
% 0.15/0.41 subpopulations(first_movers,efficient_producers,sK1_skl,sK0_skl)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.15/0.41 fof(f45,plain,(
% 0.15/0.41 ~greater(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f42])).
% 0.15/0.41 fof(f46,plain,(
% 0.15/0.41 greater_or_equal(initial_FM_EP(sK1_skl),start_time(sK1_skl))),
% 0.15/0.41 inference(resolution,[status(thm)],[f26,f43])).
% 0.15/0.41 fof(f48,definition,(
% 0.15/0.41 sQ0_spl <=> (environment(sK1_skl))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f50,plain,(
% 0.15/0.41 ~environment(sK1_skl)|sQ0_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f48])).
% 0.15/0.41 fof(f55,plain,(
% 0.15/0.41 $false|sQ0_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f50,f43])).
% 0.15/0.41 fof(f56,plain,(
% 0.15/0.41 sQ0_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f55])).
% 0.15/0.41 fof(f57,plain,(
% 0.15/0.41 ~environment(sK1_skl)|in_environment(sK1_skl,sK0_skl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f24,f44])).
% 0.15/0.41 fof(f58,definition,(
% 0.15/0.41 sQ2_spl <=> (in_environment(sK1_skl,sK0_skl))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f59,plain,(
% 0.15/0.41 in_environment(sK1_skl,sK0_skl)|~sQ2_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f58])).
% 0.15/0.41 fof(f61,plain,(
% 0.15/0.41 ~sQ0_spl|sQ2_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f57,f48,f58])).
% 0.15/0.41 fof(f62,plain,(
% 0.15/0.41 ~environment(sK1_skl)|greater_or_equal(sK0_skl,initial_FM_EP(sK1_skl))),
% 0.15/0.41 inference(resolution,[status(thm)],[f19,f44])).
% 0.15/0.41 fof(f63,definition,(
% 0.15/0.41 sQ3_spl <=> (greater_or_equal(sK0_skl,initial_FM_EP(sK1_skl)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f64,plain,(
% 0.15/0.41 greater_or_equal(sK0_skl,initial_FM_EP(sK1_skl))|~sQ3_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.15/0.41 fof(f66,plain,(
% 0.15/0.41 ~sQ0_spl|sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f62,f48,f63])).
% 0.15/0.41 fof(f67,plain,(
% 0.15/0.41 ![X0]: (~environment(sK1_skl)|~greater(X0,initial_FM_EP(sK1_skl))|~in_environment(sK1_skl,X0)|in_environment(sK1_skl,initial_FM_EP(sK1_skl)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f29,f46])).
% 0.15/0.41 fof(f68,definition,(
% 0.15/0.41 ![X0]: (sQ4_spl <=> (~greater(X0,initial_FM_EP(sK1_skl))|~in_environment(sK1_skl,X0)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f69,plain,(
% 0.15/0.41 ![X0]: (~greater(X0,initial_FM_EP(sK1_skl))|~in_environment(sK1_skl,X0)|~sQ4_spl)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f68])).
% 0.15/0.41 fof(f71,definition,(
% 0.15/0.41 sQ5_spl <=> (in_environment(sK1_skl,initial_FM_EP(sK1_skl)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f72,plain,(
% 0.15/0.41 in_environment(sK1_skl,initial_FM_EP(sK1_skl))|~sQ5_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f71])).
% 0.15/0.41 fof(f74,plain,(
% 0.15/0.41 ~sQ0_spl|sQ4_spl|sQ5_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f67,f48,f68,f71])).
% 0.15/0.41 fof(f75,plain,(
% 0.15/0.41 greater(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,initial_FM_EP(sK1_skl)))),
% 0.15/0.41 inference(resolution,[status(thm)],[f36,f43])).
% 0.15/0.41 fof(f83,plain,(
% 0.15/0.41 greater(sK0_skl,initial_FM_EP(sK1_skl))|sK0_skl=initial_FM_EP(sK1_skl)|~sQ3_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f34,f64])).
% 0.15/0.41 fof(f85,definition,(
% 0.15/0.41 sQ7_spl <=> (greater(sK0_skl,initial_FM_EP(sK1_skl)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f86,plain,(
% 0.15/0.41 greater(sK0_skl,initial_FM_EP(sK1_skl))|~sQ7_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f85])).
% 0.15/0.41 fof(f88,definition,(
% 0.15/0.41 sQ8_spl <=> (sK0_skl=initial_FM_EP(sK1_skl))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f89,plain,(
% 0.15/0.41 sK0_skl=initial_FM_EP(sK1_skl)|~sQ8_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f88])).
% 0.15/0.41 fof(f91,plain,(
% 0.15/0.41 sQ7_spl|sQ8_spl|~sQ3_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f83,f85,f88,f63])).
% 0.15/0.41 fof(f104,definition,(
% 0.15/0.41 sQ12_spl <=> (greater(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,initial_FM_EP(sK1_skl))))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f106,plain,(
% 0.15/0.41 ~greater(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,initial_FM_EP(sK1_skl)))|sQ12_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f104])).
% 0.15/0.41 fof(f108,definition,(
% 0.15/0.41 ![X0,X1]: (sQ13_spl <=> (~environment(X0)|~greater_or_equal(X1,initial_FM_EP(sK1_skl))|~subpopulations(first_movers,efficient_producers,X0,X1)|greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f109,plain,(
% 0.15/0.41 ![X0,X1]: (~environment(X0)|~greater_or_equal(X1,initial_FM_EP(sK1_skl))|~subpopulations(first_movers,efficient_producers,X0,X1)|greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))|~sQ13_spl)),
% 0.15/0.41 inference(component_clause,[status(thm)],[f108])).
% 0.15/0.41 fof(f114,definition,(
% 0.15/0.41 sQ15_spl <=> (decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,initial_FM_EP(sK1_skl)))))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f120,plain,(
% 0.15/0.41 ~in_environment(sK1_skl,sK0_skl)|~sQ4_spl|~sQ7_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f69,f86])).
% 0.15/0.41 fof(f121,plain,(
% 0.15/0.41 $false|~sQ2_spl|~sQ4_spl|~sQ7_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f120,f59])).
% 0.15/0.41 fof(f122,plain,(
% 0.15/0.41 ~sQ2_spl|~sQ4_spl|~sQ7_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f121])).
% 0.15/0.41 fof(f124,plain,(
% 0.15/0.41 greater(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,sK0_skl))|~sQ8_spl),
% 0.15/0.41 inference(backward_demodulation,[status(thm)],[f89,f75])).
% 0.15/0.41 fof(f131,plain,(
% 0.15/0.41 greater(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl))|~sQ8_spl),
% 0.15/0.41 inference(forward_demodulation,[status(thm)],[f89,f124])).
% 0.15/0.41 fof(f132,plain,(
% 0.15/0.41 $false|~sQ8_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f131,f45])).
% 0.15/0.41 fof(f133,plain,(
% 0.15/0.41 ~sQ8_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f132])).
% 0.15/0.41 fof(f149,definition,(
% 0.15/0.41 sQ17_spl <=> (greater(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f150,plain,(
% 0.15/0.41 greater(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl))|~sQ17_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f149])).
% 0.15/0.41 fof(f153,plain,(
% 0.15/0.41 $false|sQ12_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f106,f75])).
% 0.15/0.41 fof(f154,plain,(
% 0.15/0.41 sQ12_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f153])).
% 0.15/0.41 fof(f155,plain,(
% 0.15/0.41 $false|~sQ17_spl),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f150,f45])).
% 0.15/0.41 fof(f156,plain,(
% 0.15/0.41 ~sQ17_spl),
% 0.15/0.41 inference(contradiction_clause,[status(thm)],[f155])).
% 0.15/0.41 fof(f158,plain,(
% 0.15/0.41 ~environment(sK1_skl)|subpopulations(first_movers,efficient_producers,sK1_skl,initial_FM_EP(sK1_skl))|~sQ5_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f72,f18])).
% 0.15/0.41 fof(f159,definition,(
% 0.15/0.41 sQ18_spl <=> (subpopulations(first_movers,efficient_producers,sK1_skl,initial_FM_EP(sK1_skl)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f160,plain,(
% 0.15/0.41 subpopulations(first_movers,efficient_producers,sK1_skl,initial_FM_EP(sK1_skl))|~sQ18_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f159])).
% 0.15/0.41 fof(f162,plain,(
% 0.15/0.41 ~sQ0_spl|sQ18_spl|~sQ5_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f158,f48,f159,f71])).
% 0.15/0.41 fof(f168,plain,(
% 0.15/0.41 ~environment(sK1_skl)|greater_or_equal(initial_FM_EP(sK1_skl),initial_FM_EP(sK1_skl))|~sQ18_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f160,f19])).
% 0.15/0.41 fof(f170,plain,(
% 0.15/0.41 ~environment(sK1_skl)|~decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,initial_FM_EP(sK1_skl))))|~sQ18_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f160,f15])).
% 0.15/0.41 fof(f175,definition,(
% 0.15/0.41 sQ20_spl <=> (greater_or_equal(initial_FM_EP(sK1_skl),initial_FM_EP(sK1_skl)))),
% 0.15/0.41 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.15/0.41 fof(f176,plain,(
% 0.15/0.41 greater_or_equal(initial_FM_EP(sK1_skl),initial_FM_EP(sK1_skl))|~sQ20_spl),
% 0.15/0.41 inference(component_clause,[status(thm)],[f175])).
% 0.15/0.41 fof(f178,plain,(
% 0.15/0.41 ~sQ0_spl|sQ20_spl|~sQ18_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f168,f48,f175,f159])).
% 0.15/0.41 fof(f180,plain,(
% 0.15/0.41 ~sQ0_spl|~sQ15_spl|~sQ18_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f170,f48,f114,f159])).
% 0.15/0.41 fof(f181,plain,(
% 0.15/0.41 ![X0,X1]: (~environment(X0)|~greater_or_equal(X1,initial_FM_EP(sK1_skl))|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,initial_FM_EP(sK1_skl)))|decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sK1_skl)),disbanding_rate(efficient_producers,initial_FM_EP(sK1_skl))))|greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))|~sQ20_spl)),
% 0.15/0.41 inference(resolution,[status(thm)],[f176,f22])).
% 0.15/0.41 fof(f183,plain,(
% 0.15/0.41 sQ13_spl|~sQ12_spl|sQ15_spl|~sQ20_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f181,f108,f104,f114,f175])).
% 0.15/0.41 fof(f199,plain,(
% 0.15/0.41 ~environment(sK1_skl)|~greater_or_equal(sK0_skl,initial_FM_EP(sK1_skl))|greater(disbanding_rate(first_movers,sK0_skl),disbanding_rate(efficient_producers,sK0_skl))|~sQ13_spl),
% 0.15/0.41 inference(resolution,[status(thm)],[f109,f44])).
% 0.15/0.41 fof(f201,plain,(
% 0.15/0.41 ~sQ0_spl|~sQ3_spl|sQ17_spl|~sQ13_spl),
% 0.15/0.41 inference(split_clause,[status(thm)],[f199,f48,f63,f149,f108])).
% 0.15/0.41 fof(f202,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(sat_refutation,[status(thm)],[f56,f61,f66,f74,f91,f122,f133,f154,f156,f162,f178,f180,f183,f201])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.059379 seconds
% 0.15/0.43 % CPU time: 0.166204 seconds
% 0.15/0.43 % Total memory used: 80.739 MB
% 0.15/0.43 % Net memory used: 80.326 MB
%------------------------------------------------------------------------------