%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT022+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 : n008.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 01:25:42 PM UTC 2026
% Result : Theorem 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT022+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 : n008.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 01:22:23 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (! [X] :( constant(X)=> ~ decreases(X) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,hypothesis,(
% 0.12/0.37 (! [E,S1,S2,T] :( ( environment(E)& subpopulations(S1,S2,E,T)& greater(resilience(S2),resilience(S1)) )=> ( ( decreases(resources(E,T))=> increases(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))) )& ( constant(resources(E,T))=> constant(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))) ) ) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f3,hypothesis,(
% 0.12/0.37 greater(resilience(efficient_producers),resilience(first_movers)) ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f4,conjecture,(
% 0.12/0.37 (! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> ( ( decreases(resources(E,T))=> increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )& ( constant(resources(E,T))=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ) )),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,negated_conjecture,(
% 0.12/0.37 ~((! [E,T] :( ( environment(E)& subpopulations(first_movers,efficient_producers,E,T) )=> ( ( decreases(resources(E,T))=> increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) )& ( constant(resources(E,T))=> ~ decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))) ) ) ) ))),
% 0.12/0.37 inference(negated_conjecture,[status(cth)],[f4])).
% 0.12/0.37 fof(f6,plain,(
% 0.12/0.37 ![X]: (~constant(X)|~decreases(X))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f7,plain,(
% 0.12/0.37 ![X0]: (~constant(X0)|~decreases(X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f8,plain,(
% 0.12/0.37 ![E,S1,S2,T]: (((~environment(E)|~subpopulations(S1,S2,E,T))|~greater(resilience(S2),resilience(S1)))|((~decreases(resources(E,T))|increases(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))))&(~constant(resources(E,T))|constant(difference(disbanding_rate(S1,T),disbanding_rate(S2,T))))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f9,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~greater(resilience(X2),resilience(X1))|~decreases(resources(X0,X3))|increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f10,plain,(
% 0.12/0.37 ![X0,X1,X2,X3]: (~environment(X0)|~subpopulations(X1,X2,X0,X3)|~greater(resilience(X2),resilience(X1))|~constant(resources(X0,X3))|constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f11,plain,(
% 0.12/0.37 greater(resilience(efficient_producers),resilience(first_movers))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.12/0.37 fof(f12,plain,(
% 0.12/0.37 (?[E,T]: ((environment(E)&subpopulations(first_movers,efficient_producers,E,T))&((decreases(resources(E,T))&~increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))|(constant(resources(E,T))&decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))))))),
% 0.12/0.37 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f13,definition,(
% 0.12/0.37 ![E,T]: (sP0_prd(T,E)<=>(decreases(resources(E,T))&~increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.12/0.37 fof(f14,plain,(
% 0.12/0.37 ?[E,T]: ((environment(E)&subpopulations(first_movers,efficient_producers,E,T))&(sP0_prd(T,E)|(constant(resources(E,T))&decreases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))))),
% 0.12/0.37 inference(formula_renaming,[status(thm)],[f12,f13])).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ((environment(sK0_skl)&subpopulations(first_movers,efficient_producers,sK0_skl,sK1_skl))&(sP0_prd(sK1_skl,sK0_skl)|(constant(resources(sK0_skl,sK1_skl))&decreases(difference(disbanding_rate(first_movers,sK1_skl),disbanding_rate(efficient_producers,sK1_skl))))))),
% 0.12/0.37 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(E,sK0_skl),skolemize(T,sK1_skl)],[f14])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 environment(sK0_skl)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.37 fof(f17,plain,(
% 0.12/0.37 subpopulations(first_movers,efficient_producers,sK0_skl,sK1_skl)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.37 fof(f18,plain,(
% 0.12/0.37 sP0_prd(sK1_skl,sK0_skl)|constant(resources(sK0_skl,sK1_skl))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 sP0_prd(sK1_skl,sK0_skl)|decreases(difference(disbanding_rate(first_movers,sK1_skl),disbanding_rate(efficient_producers,sK1_skl)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f15])).
% 0.12/0.37 fof(f20,plain,(
% 0.12/0.37 ![E,T]: ((~sP0_prd(T,E)|(decreases(resources(E,T))&~increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T)))))&(sP0_prd(T,E)|(~decreases(resources(E,T))|increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))))),
% 0.12/0.37 inference(NNF_transformation,[status(thm)],[f13])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 (![E,T]: (~sP0_prd(T,E)|(decreases(resources(E,T))&~increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))))&(![E,T]: (sP0_prd(T,E)|(~decreases(resources(E,T))|increases(difference(disbanding_rate(first_movers,T),disbanding_rate(efficient_producers,T))))))),
% 0.12/0.37 inference(miniscoping,[status(thm)],[f20])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ![X0,X1]: (~sP0_prd(X0,X1)|decreases(resources(X1,X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.37 fof(f23,plain,(
% 0.12/0.37 ![X0,X1]: (~sP0_prd(X0,X1)|~increases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f21])).
% 0.12/0.37 fof(f25,definition,(
% 0.12/0.37 sQ0_spl <=> (sP0_prd(sK1_skl,sK0_skl))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 sP0_prd(sK1_skl,sK0_skl)|~sQ0_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f25])).
% 0.12/0.37 fof(f28,definition,(
% 0.12/0.37 sQ1_spl <=> (constant(resources(sK0_skl,sK1_skl)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f29,plain,(
% 0.12/0.37 constant(resources(sK0_skl,sK1_skl))|~sQ1_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f28])).
% 0.12/0.37 fof(f31,plain,(
% 0.12/0.37 sQ0_spl|sQ1_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f18,f25,f28])).
% 0.12/0.37 fof(f32,definition,(
% 0.12/0.37 sQ2_spl <=> (decreases(difference(disbanding_rate(first_movers,sK1_skl),disbanding_rate(efficient_producers,sK1_skl))))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f33,plain,(
% 0.12/0.37 decreases(difference(disbanding_rate(first_movers,sK1_skl),disbanding_rate(efficient_producers,sK1_skl)))|~sQ2_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f32])).
% 0.12/0.37 fof(f35,plain,(
% 0.12/0.37 sQ0_spl|sQ2_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f19,f25,f32])).
% 0.12/0.37 fof(f38,plain,(
% 0.12/0.37 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~decreases(resources(X0,X1))|increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))))),
% 0.12/0.37 inference(resolution,[status(thm)],[f11,f9])).
% 0.12/0.37 fof(f39,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~decreases(resources(X0,X1))|~sP0_prd(X1,X2))),
% 0.12/0.37 inference(resolution,[status(thm)],[f38,f23])).
% 0.12/0.37 fof(f40,plain,(
% 0.12/0.37 ![X0,X1,X2]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~sP0_prd(X1,X2)|~sP0_prd(X1,X0))),
% 0.12/0.37 inference(resolution,[status(thm)],[f39,f22])).
% 0.12/0.37 fof(f41,plain,(
% 0.12/0.37 ![X0,X1]: (~subpopulations(first_movers,efficient_producers,sK0_skl,X0)|~sP0_prd(X0,X1)|~sP0_prd(X0,sK0_skl))),
% 0.12/0.37 inference(resolution,[status(thm)],[f40,f16])).
% 0.12/0.37 fof(f42,plain,(
% 0.12/0.37 ![X0]: (~sP0_prd(sK1_skl,X0)|~sP0_prd(sK1_skl,sK0_skl))),
% 0.12/0.37 inference(resolution,[status(thm)],[f41,f17])).
% 0.12/0.37 fof(f43,definition,(
% 0.12/0.37 ![X0]: (sQ3_spl <=> (~sP0_prd(sK1_skl,X0)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f44,plain,(
% 0.12/0.37 ![X0]: (~sP0_prd(sK1_skl,X0)|~sQ3_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f43])).
% 0.12/0.37 fof(f46,plain,(
% 0.12/0.37 sQ3_spl|~sQ0_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f42,f43,f25])).
% 0.12/0.37 fof(f47,plain,(
% 0.12/0.37 $false|~sQ3_spl|~sQ0_spl),
% 0.12/0.37 inference(backward_subsumption_resolution,[status(thm)],[f26,f44])).
% 0.12/0.37 fof(f48,plain,(
% 0.12/0.37 ~sQ3_spl|~sQ0_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f47])).
% 0.12/0.37 fof(f49,plain,(
% 0.12/0.37 ![X0,X1]: (~environment(sK0_skl)|~subpopulations(X0,X1,sK0_skl,sK1_skl)|~greater(resilience(X1),resilience(X0))|constant(difference(disbanding_rate(X0,sK1_skl),disbanding_rate(X1,sK1_skl)))|~sQ1_spl)),
% 0.12/0.37 inference(resolution,[status(thm)],[f29,f10])).
% 0.12/0.37 fof(f51,definition,(
% 0.12/0.37 sQ4_spl <=> (environment(sK0_skl))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f53,plain,(
% 0.12/0.37 ~environment(sK0_skl)|sQ4_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f51])).
% 0.12/0.37 fof(f54,definition,(
% 0.12/0.37 ![X0,X1]: (sQ5_spl <=> (~subpopulations(X0,X1,sK0_skl,sK1_skl)|~greater(resilience(X1),resilience(X0))|constant(difference(disbanding_rate(X0,sK1_skl),disbanding_rate(X1,sK1_skl)))))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f55,plain,(
% 0.12/0.37 ![X0,X1]: (~subpopulations(X0,X1,sK0_skl,sK1_skl)|~greater(resilience(X1),resilience(X0))|constant(difference(disbanding_rate(X0,sK1_skl),disbanding_rate(X1,sK1_skl)))|~sQ5_spl)),
% 0.12/0.37 inference(component_clause,[status(thm)],[f54])).
% 0.12/0.37 fof(f57,plain,(
% 0.12/0.37 ~sQ4_spl|sQ5_spl|~sQ1_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f49,f51,f54,f28])).
% 0.12/0.37 fof(f58,plain,(
% 0.12/0.37 $false|sQ4_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f53,f16])).
% 0.12/0.37 fof(f59,plain,(
% 0.12/0.37 sQ4_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f58])).
% 0.12/0.37 fof(f61,plain,(
% 0.12/0.37 ![X0,X1]: (~subpopulations(X0,X1,sK0_skl,sK1_skl)|~greater(resilience(X1),resilience(X0))|~decreases(difference(disbanding_rate(X0,sK1_skl),disbanding_rate(X1,sK1_skl)))|~sQ5_spl)),
% 0.12/0.37 inference(resolution,[status(thm)],[f55,f7])).
% 0.12/0.37 fof(f62,plain,(
% 0.12/0.37 ~subpopulations(first_movers,efficient_producers,sK0_skl,sK1_skl)|~greater(resilience(efficient_producers),resilience(first_movers))|~sQ5_spl|~sQ2_spl),
% 0.12/0.37 inference(resolution,[status(thm)],[f61,f33])).
% 0.12/0.37 fof(f63,definition,(
% 0.12/0.37 sQ6_spl <=> (subpopulations(first_movers,efficient_producers,sK0_skl,sK1_skl))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f65,plain,(
% 0.12/0.37 ~subpopulations(first_movers,efficient_producers,sK0_skl,sK1_skl)|sQ6_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f63])).
% 0.12/0.37 fof(f66,definition,(
% 0.12/0.37 sQ7_spl <=> (greater(resilience(efficient_producers),resilience(first_movers)))),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.12/0.37 fof(f68,plain,(
% 0.12/0.37 ~greater(resilience(efficient_producers),resilience(first_movers))|sQ7_spl),
% 0.12/0.37 inference(component_clause,[status(thm)],[f66])).
% 0.12/0.37 fof(f69,plain,(
% 0.12/0.37 ~sQ6_spl|~sQ7_spl|~sQ5_spl|~sQ2_spl),
% 0.12/0.37 inference(split_clause,[status(thm)],[f62,f63,f66,f54,f32])).
% 0.12/0.37 fof(f70,plain,(
% 0.12/0.37 $false|sQ6_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f65,f17])).
% 0.12/0.37 fof(f71,plain,(
% 0.12/0.37 sQ6_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f70])).
% 0.12/0.37 fof(f72,plain,(
% 0.12/0.37 $false|sQ7_spl),
% 0.12/0.37 inference(forward_subsumption_resolution,[status(thm)],[f68,f11])).
% 0.12/0.37 fof(f73,plain,(
% 0.12/0.37 sQ7_spl),
% 0.12/0.37 inference(contradiction_clause,[status(thm)],[f72])).
% 0.12/0.37 fof(f74,plain,(
% 0.12/0.37 $false),
% 0.12/0.37 inference(sat_refutation,[status(thm)],[f31,f35,f46,f48,f57,f59,f69,f71,f73])).
% 0.12/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.39 % Elapsed time: 0.032000 seconds
% 0.12/0.39 % CPU time: 0.079240 seconds
% 0.12/0.39 % Total memory used: 10.082 MB
% 0.12/0.39 % Net memory used: 9.822 MB
%------------------------------------------------------------------------------