%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT026-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT026-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n011.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 01:22:26 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulations(B,C,A,D)| ~ greater(growth_rate(C,D),growth_rate(B,D))| selection_favors(C,B,D) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (![A,B,C,D]: (( ~ environment(A)| ~ subpopulation(B,A,C)| ~ subpopulation(D,A,C)| ~ greater(cardinality_at_time(B,C),zero)| cardinality_at_time(D,C) != zero| selection_favors(B,D,C) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f3,axiom,(
% 0.11/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(cardinality_at_time(first_movers,B),zero)| ~ greater(cardinality_at_time(efficient_producers,B),zero)| subpopulations(first_movers,efficient_producers,A,B) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(cardinality_at_time(first_movers,B),zero) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,axiom,(
% 0.11/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulation(first_movers,A,B) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,axiom,(
% 0.11/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulation(efficient_producers,A,B) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (![A]: (( ~ environment(A)| greater_or_equal(critical_point(A),appear(efficient_producers,A)) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,axiom,(
% 0.11/0.38 (![A,B,C]: (( ~ greater(A,B)| ~ greater(B,C)| greater(A,C) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f9,axiom,(
% 0.11/0.38 (![A,B]: (( ~ greater_or_equal(A,B)| greater(A,B)| A = B ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f10,axiom,(
% 0.11/0.38 (![A,B]: (( ~ greater(A,B)| greater_or_equal(A,B) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f13,hypothesis,(
% 0.11/0.38 (![A,B,C]: (( ~ environment(A)| B != critical_point(A)| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,B)| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f14,hypothesis,(
% 0.11/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater_or_equal(B,appear(efficient_producers,A))| greater(cardinality_at_time(efficient_producers,B),zero) ) ))),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f15,negated_conjecture,(
% 0.11/0.38 environment(sk1) ),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f16,negated_conjecture,(
% 0.11/0.38 in_environment(sk1,sk2) ),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f17,negated_conjecture,(
% 0.11/0.38 greater(sk2,critical_point(sk1)) ),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f18,negated_conjecture,(
% 0.11/0.38 ~ selection_favors(efficient_producers,first_movers,sk2) ),
% 0.11/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f19,plain,(
% 0.11/0.38 ![B,C,D]: (((![A]: (~environment(A)|~subpopulations(B,C,A,D)))|~greater(growth_rate(C,D),growth_rate(B,D)))|selection_favors(C,B,D))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.11/0.38 fof(f20,plain,(
% 0.11/0.38 ![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))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.11/0.38 fof(f21,plain,(
% 0.11/0.38 ![B,C,D]: ((((![A]: ((~environment(A)|~subpopulation(B,A,C))|~subpopulation(D,A,C)))|~greater(cardinality_at_time(B,C),zero))|~cardinality_at_time(D,C)=zero)|selection_favors(B,D,C))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f2])).
% 0.11/0.38 fof(f22,plain,(
% 0.11/0.38 ![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))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.11/0.38 fof(f23,plain,(
% 0.11/0.38 ![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))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.38 fof(f24,plain,(
% 0.11/0.38 ![B]: ((![A]: (~environment(A)|~in_environment(A,B)))|greater_or_equal(cardinality_at_time(first_movers,B),zero))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.11/0.38 fof(f25,plain,(
% 0.11/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(cardinality_at_time(first_movers,X1),zero))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.11/0.38 fof(f26,plain,(
% 0.11/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(first_movers,X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f27,plain,(
% 0.11/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(efficient_producers,X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.38 fof(f28,plain,(
% 0.11/0.38 ![X0]: (~environment(X0)|greater_or_equal(critical_point(X0),appear(efficient_producers,X0)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.38 fof(f29,plain,(
% 0.11/0.38 ![A,C]: ((![B]: (~greater(A,B)|~greater(B,C)))|greater(A,C))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.11/0.38 fof(f30,plain,(
% 0.11/0.38 ![X0,X1,X2]: (~greater(X0,X1)|~greater(X1,X2)|greater(X0,X2))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.11/0.38 fof(f31,plain,(
% 0.11/0.38 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 ![X0,X1]: (~greater(X0,X1)|greater_or_equal(X0,X1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.38 fof(f36,plain,(
% 0.11/0.38 ![C]: ((![B]: ((![A]: ((~environment(A)|~B=critical_point(A))|~subpopulations(first_movers,efficient_producers,A,C)))|~greater(C,B)))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f13])).
% 0.11/0.38 fof(f37,plain,(
% 0.11/0.38 ![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)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f36])).
% 0.11/0.38 fof(f38,plain,(
% 0.11/0.38 ![B]: ((![A]: ((~environment(A)|~in_environment(A,B))|~greater_or_equal(B,appear(efficient_producers,A))))|greater(cardinality_at_time(efficient_producers,B),zero))),
% 0.11/0.38 inference(miniscoping,[status(thm)],[f14])).
% 0.11/0.38 fof(f39,plain,(
% 0.11/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater_or_equal(X1,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f38])).
% 0.11/0.38 fof(f40,plain,(
% 0.11/0.38 environment(sk1)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.11/0.38 fof(f41,plain,(
% 0.11/0.38 in_environment(sk1,sk2)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.11/0.38 fof(f42,plain,(
% 0.11/0.38 greater(sk2,critical_point(sk1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.11/0.38 fof(f43,plain,(
% 0.11/0.38 ~selection_favors(efficient_producers,first_movers,sk2)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.11/0.38 fof(f46,plain,(
% 0.11/0.38 ![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)))),
% 0.11/0.38 inference(destructive_equality_resolution,[status(thm)],[f37])).
% 0.11/0.38 fof(f47,plain,(
% 0.11/0.38 ![X0]: (~greater(critical_point(sk1),X0)|greater(sk2,X0))),
% 0.11/0.38 inference(resolution,[status(thm)],[f30,f42])).
% 0.11/0.38 fof(f48,plain,(
% 0.11/0.38 ~environment(sk1)|greater_or_equal(cardinality_at_time(first_movers,sk2),zero)),
% 0.11/0.38 inference(resolution,[status(thm)],[f25,f41])).
% 0.11/0.38 fof(f49,definition,(
% 0.11/0.38 sQ0_spl <=> (environment(sk1))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f51,plain,(
% 0.11/0.38 ~environment(sk1)|sQ0_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.11/0.38 fof(f52,definition,(
% 0.11/0.38 sQ1_spl <=> (greater_or_equal(cardinality_at_time(first_movers,sk2),zero))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f53,plain,(
% 0.11/0.38 greater_or_equal(cardinality_at_time(first_movers,sk2),zero)|~sQ1_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f52])).
% 0.11/0.38 fof(f55,plain,(
% 0.11/0.38 ~sQ0_spl|sQ1_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f48,f49,f52])).
% 0.11/0.38 fof(f56,plain,(
% 0.11/0.38 $false|sQ0_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f51,f40])).
% 0.11/0.38 fof(f57,plain,(
% 0.11/0.38 sQ0_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f56])).
% 0.11/0.38 fof(f58,plain,(
% 0.11/0.38 greater_or_equal(sk2,critical_point(sk1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f32,f42])).
% 0.11/0.38 fof(f59,plain,(
% 0.11/0.38 ~environment(sk1)|~greater(cardinality_at_time(first_movers,sk2),zero)|~greater(cardinality_at_time(efficient_producers,sk2),zero)|subpopulations(first_movers,efficient_producers,sk1,sk2)),
% 0.11/0.38 inference(resolution,[status(thm)],[f23,f41])).
% 0.11/0.38 fof(f60,definition,(
% 0.11/0.38 sQ2_spl <=> (greater(cardinality_at_time(first_movers,sk2),zero))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f63,definition,(
% 0.11/0.38 sQ3_spl <=> (greater(cardinality_at_time(efficient_producers,sk2),zero))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f66,definition,(
% 0.11/0.38 sQ4_spl <=> (subpopulations(first_movers,efficient_producers,sk1,sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f67,plain,(
% 0.11/0.38 subpopulations(first_movers,efficient_producers,sk1,sk2)|~sQ4_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f66])).
% 0.11/0.38 fof(f69,plain,(
% 0.11/0.38 ~sQ0_spl|~sQ2_spl|~sQ3_spl|sQ4_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f59,f49,f60,f63,f66])).
% 0.11/0.38 fof(f70,plain,(
% 0.11/0.38 ~environment(sk1)|subpopulation(first_movers,sk1,sk2)),
% 0.11/0.38 inference(resolution,[status(thm)],[f26,f41])).
% 0.11/0.38 fof(f71,definition,(
% 0.11/0.38 sQ5_spl <=> (subpopulation(first_movers,sk1,sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f72,plain,(
% 0.11/0.38 subpopulation(first_movers,sk1,sk2)|~sQ5_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f71])).
% 0.11/0.38 fof(f74,plain,(
% 0.11/0.38 ~sQ0_spl|sQ5_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f70,f49,f71])).
% 0.11/0.38 fof(f75,plain,(
% 0.11/0.38 ~environment(sk1)|subpopulation(efficient_producers,sk1,sk2)),
% 0.11/0.38 inference(resolution,[status(thm)],[f27,f41])).
% 0.11/0.38 fof(f76,definition,(
% 0.11/0.38 sQ6_spl <=> (subpopulation(efficient_producers,sk1,sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f77,plain,(
% 0.11/0.38 subpopulation(efficient_producers,sk1,sk2)|~sQ6_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f76])).
% 0.11/0.38 fof(f79,plain,(
% 0.11/0.38 ~sQ0_spl|sQ6_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f75,f49,f76])).
% 0.11/0.38 fof(f80,plain,(
% 0.11/0.38 greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))),
% 0.11/0.38 inference(resolution,[status(thm)],[f28,f40])).
% 0.11/0.38 fof(f82,plain,(
% 0.11/0.38 greater(sk2,critical_point(sk1))|sk2=critical_point(sk1)),
% 0.11/0.38 inference(resolution,[status(thm)],[f31,f58])).
% 0.11/0.38 fof(f84,definition,(
% 0.11/0.38 sQ7_spl <=> (greater(sk2,critical_point(sk1)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f86,plain,(
% 0.11/0.38 ~greater(sk2,critical_point(sk1))|sQ7_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f84])).
% 0.11/0.38 fof(f87,definition,(
% 0.11/0.38 sQ8_spl <=> (sk2=critical_point(sk1))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f88,plain,(
% 0.11/0.38 sk2=critical_point(sk1)|~sQ8_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f87])).
% 0.11/0.38 fof(f90,plain,(
% 0.11/0.38 sQ7_spl|sQ8_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f82,f84,f87])).
% 0.11/0.38 fof(f92,plain,(
% 0.11/0.38 greater(sk2,sk2)|~sQ8_spl),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f88,f42])).
% 0.11/0.38 fof(f105,plain,(
% 0.11/0.38 ![X0]: (~environment(sk1)|~subpopulation(X0,sk1,sk2)|~greater(cardinality_at_time(first_movers,sk2),zero)|~cardinality_at_time(X0,sk2)=zero|selection_favors(first_movers,X0,sk2)|~sQ5_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f72,f22])).
% 0.11/0.38 fof(f106,definition,(
% 0.11/0.38 ![X0]: (sQ11_spl <=> (~subpopulation(X0,sk1,sk2)|~cardinality_at_time(X0,sk2)=zero|selection_favors(first_movers,X0,sk2)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f107,plain,(
% 0.11/0.38 ![X0]: (~subpopulation(X0,sk1,sk2)|~cardinality_at_time(X0,sk2)=zero|selection_favors(first_movers,X0,sk2)|~sQ11_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f106])).
% 0.11/0.38 fof(f109,plain,(
% 0.11/0.38 ~sQ0_spl|sQ11_spl|~sQ2_spl|~sQ5_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f105,f49,f106,f60,f71])).
% 0.11/0.38 fof(f110,plain,(
% 0.11/0.38 ![X0]: (~environment(sk1)|~subpopulation(X0,sk1,sk2)|~greater(cardinality_at_time(efficient_producers,sk2),zero)|~cardinality_at_time(X0,sk2)=zero|selection_favors(efficient_producers,X0,sk2)|~sQ6_spl)),
% 0.11/0.38 inference(resolution,[status(thm)],[f77,f22])).
% 0.11/0.38 fof(f111,definition,(
% 0.11/0.38 ![X0]: (sQ12_spl <=> (~subpopulation(X0,sk1,sk2)|~cardinality_at_time(X0,sk2)=zero|selection_favors(efficient_producers,X0,sk2)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f112,plain,(
% 0.11/0.38 ![X0]: (~subpopulation(X0,sk1,sk2)|~cardinality_at_time(X0,sk2)=zero|selection_favors(efficient_producers,X0,sk2)|~sQ12_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f111])).
% 0.11/0.38 fof(f114,plain,(
% 0.11/0.38 ~sQ0_spl|sQ12_spl|~sQ3_spl|~sQ6_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f110,f49,f111,f63,f76])).
% 0.11/0.38 fof(f117,plain,(
% 0.11/0.38 greater(cardinality_at_time(first_movers,sk2),zero)|cardinality_at_time(first_movers,sk2)=zero|~sQ1_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f53,f31])).
% 0.11/0.38 fof(f118,definition,(
% 0.11/0.38 sQ13_spl <=> (cardinality_at_time(first_movers,sk2)=zero)),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f121,plain,(
% 0.11/0.38 sQ2_spl|sQ13_spl|~sQ1_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f117,f60,f118,f52])).
% 0.11/0.38 fof(f125,plain,(
% 0.11/0.38 greater(critical_point(sk1),appear(efficient_producers,sk1))|critical_point(sk1)=appear(efficient_producers,sk1)),
% 0.11/0.38 inference(resolution,[status(thm)],[f80,f31])).
% 0.11/0.38 fof(f133,definition,(
% 0.11/0.38 sQ16_spl <=> (greater(critical_point(sk1),appear(efficient_producers,sk1)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f134,plain,(
% 0.11/0.38 greater(critical_point(sk1),appear(efficient_producers,sk1))|~sQ16_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f133])).
% 0.11/0.38 fof(f136,definition,(
% 0.11/0.38 sQ17_spl <=> (critical_point(sk1)=appear(efficient_producers,sk1))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f137,plain,(
% 0.11/0.38 critical_point(sk1)=appear(efficient_producers,sk1)|~sQ17_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f136])).
% 0.11/0.38 fof(f139,plain,(
% 0.11/0.38 sQ16_spl|sQ17_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f125,f133,f136])).
% 0.11/0.38 fof(f142,plain,(
% 0.11/0.38 ~cardinality_at_time(efficient_producers,sk2)=zero|selection_favors(first_movers,efficient_producers,sk2)|~sQ11_spl|~sQ6_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f107,f77])).
% 0.11/0.38 fof(f144,definition,(
% 0.11/0.38 sQ18_spl <=> (cardinality_at_time(efficient_producers,sk2)=zero)),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f147,definition,(
% 0.11/0.38 sQ19_spl <=> (selection_favors(first_movers,efficient_producers,sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f150,plain,(
% 0.11/0.38 ~sQ18_spl|sQ19_spl|~sQ11_spl|~sQ6_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f142,f144,f147,f106,f76])).
% 0.11/0.38 fof(f155,plain,(
% 0.11/0.38 greater(sk2,appear(efficient_producers,sk1))|~sQ16_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f134,f47])).
% 0.11/0.38 fof(f158,plain,(
% 0.11/0.38 greater_or_equal(sk2,appear(efficient_producers,sk1))|~sQ16_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f155,f32])).
% 0.11/0.38 fof(f160,plain,(
% 0.11/0.38 ~environment(sk1)|~in_environment(sk1,sk2)|greater(cardinality_at_time(efficient_producers,sk2),zero)|~sQ16_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f158,f39])).
% 0.11/0.38 fof(f162,definition,(
% 0.11/0.38 sQ21_spl <=> (in_environment(sk1,sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f164,plain,(
% 0.11/0.38 ~in_environment(sk1,sk2)|sQ21_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f162])).
% 0.11/0.38 fof(f165,plain,(
% 0.11/0.38 ~sQ0_spl|~sQ21_spl|sQ3_spl|~sQ16_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f160,f49,f162,f63,f133])).
% 0.11/0.38 fof(f173,plain,(
% 0.11/0.38 $false|sQ21_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f164,f41])).
% 0.11/0.38 fof(f174,plain,(
% 0.11/0.38 sQ21_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f173])).
% 0.11/0.38 fof(f177,plain,(
% 0.11/0.38 ![X0]: (~environment(sk1)|~in_environment(sk1,X0)|~greater_or_equal(X0,critical_point(sk1))|greater(cardinality_at_time(efficient_producers,X0),zero)|~sQ17_spl)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f137,f39])).
% 0.11/0.38 fof(f178,definition,(
% 0.11/0.38 ![X0]: (sQ24_spl <=> (~in_environment(sk1,X0)|~greater_or_equal(X0,critical_point(sk1))|greater(cardinality_at_time(efficient_producers,X0),zero)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f179,plain,(
% 0.11/0.38 ![X0]: (~in_environment(sk1,X0)|~greater_or_equal(X0,critical_point(sk1))|greater(cardinality_at_time(efficient_producers,X0),zero)|~sQ24_spl)),
% 0.11/0.38 inference(component_clause,[status(thm)],[f178])).
% 0.11/0.38 fof(f181,plain,(
% 0.11/0.38 ~sQ0_spl|sQ24_spl|~sQ17_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f177,f49,f178,f136])).
% 0.11/0.38 fof(f182,plain,(
% 0.11/0.38 ~cardinality_at_time(efficient_producers,sk2)=zero|selection_favors(efficient_producers,efficient_producers,sk2)|~sQ12_spl|~sQ6_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f112,f77])).
% 0.11/0.38 fof(f183,plain,(
% 0.11/0.38 ~cardinality_at_time(first_movers,sk2)=zero|selection_favors(efficient_producers,first_movers,sk2)|~sQ12_spl|~sQ5_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f112,f72])).
% 0.11/0.38 fof(f184,definition,(
% 0.11/0.38 sQ25_spl <=> (selection_favors(efficient_producers,efficient_producers,sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f187,plain,(
% 0.11/0.38 ~sQ18_spl|sQ25_spl|~sQ12_spl|~sQ6_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f182,f144,f184,f111,f76])).
% 0.11/0.38 fof(f188,definition,(
% 0.11/0.38 sQ26_spl <=> (selection_favors(efficient_producers,first_movers,sk2))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f189,plain,(
% 0.11/0.38 selection_favors(efficient_producers,first_movers,sk2)|~sQ26_spl),
% 0.11/0.38 inference(component_clause,[status(thm)],[f188])).
% 0.11/0.38 fof(f191,plain,(
% 0.11/0.38 ~sQ13_spl|sQ26_spl|~sQ12_spl|~sQ5_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f183,f118,f188,f111,f71])).
% 0.11/0.38 fof(f192,plain,(
% 0.11/0.38 ~in_environment(sk1,sk2)|greater(cardinality_at_time(efficient_producers,sk2),zero)|~sQ24_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f179,f58])).
% 0.11/0.38 fof(f194,plain,(
% 0.11/0.38 ~sQ21_spl|sQ3_spl|~sQ24_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f192,f162,f63,f178])).
% 0.11/0.38 fof(f196,plain,(
% 0.11/0.38 ~environment(sk1)|~greater(sk2,critical_point(sk1))|greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))|~sQ4_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f67,f46])).
% 0.11/0.38 fof(f197,plain,(
% 0.11/0.38 ~environment(sk1)|~greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))|selection_favors(efficient_producers,first_movers,sk2)|~sQ4_spl),
% 0.11/0.38 inference(resolution,[status(thm)],[f67,f20])).
% 0.11/0.38 fof(f198,definition,(
% 0.11/0.38 sQ27_spl <=> (greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2)))),
% 0.11/0.38 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.11/0.38 fof(f201,plain,(
% 0.11/0.38 ~sQ0_spl|~sQ7_spl|sQ27_spl|~sQ4_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f196,f49,f84,f198,f66])).
% 0.11/0.38 fof(f202,plain,(
% 0.11/0.38 ~sQ0_spl|~sQ27_spl|sQ26_spl|~sQ4_spl),
% 0.11/0.38 inference(split_clause,[status(thm)],[f197,f49,f198,f188,f66])).
% 0.11/0.38 fof(f203,plain,(
% 0.11/0.38 $false|~sQ26_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f189,f43])).
% 0.11/0.38 fof(f204,plain,(
% 0.11/0.38 ~sQ26_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f203])).
% 0.11/0.38 fof(f215,plain,(
% 0.11/0.38 ~greater(sk2,sk2)|~sQ8_spl|sQ7_spl),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f88,f86])).
% 0.11/0.38 fof(f216,plain,(
% 0.11/0.38 $false|~sQ8_spl|sQ7_spl),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f215,f92])).
% 0.11/0.38 fof(f217,plain,(
% 0.11/0.38 ~sQ8_spl|sQ7_spl),
% 0.11/0.38 inference(contradiction_clause,[status(thm)],[f216])).
% 0.11/0.38 fof(f218,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(sat_refutation,[status(thm)],[f55,f57,f69,f74,f79,f90,f109,f114,f121,f139,f150,f165,f174,f181,f187,f191,f194,f201,f202,f204,f217])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.41 % Elapsed time: 0.052942 seconds
% 0.11/0.41 % CPU time: 0.157748 seconds
% 0.11/0.41 % Total memory used: 80.866 MB
% 0.11/0.41 % Net memory used: 80.427 MB
%------------------------------------------------------------------------------