%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT027-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 0.15s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n013.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.38 % CPULimit : 300
% 0.12/5.38 % WCLimit : 300
% 0.12/5.38 % DateTime : Mon Sep 21 01:21:56 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.39 % Drodi V4.1.1
% 0.15/5.41 % Refutation found
% 0.15/5.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/5.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.41 fof(f1,axiom,(
% 0.15/5.41 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| greater(cardinality_at_time(first_movers,sk1(B,A)),zero)| contracts_from(B,first_movers) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f2,axiom,(
% 0.15/5.41 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| contracts_from(B,first_movers) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f3,axiom,(
% 0.15/5.41 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))| contracts_from(B,first_movers) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f4,axiom,(
% 0.15/5.41 (![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) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f5,axiom,(
% 0.15/5.41 (![A,B,C]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| ~ greater(C,B)| in_environment(A,C) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f6,axiom,(
% 0.15/5.41 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,appear(efficient_producers,A)) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f7,axiom,(
% 0.15/5.41 (![A,B,C]: (( ~ greater(A,B)| ~ greater(B,C)| greater(A,C) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f8,axiom,(
% 0.15/5.41 (![A,B]: (( ~ greater_or_equal(A,B)| greater(A,B)| A = B ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f9,axiom,(
% 0.15/5.41 (![A,B]: (( ~ greater(A,B)| greater_or_equal(A,B) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f10,axiom,(
% 0.15/5.41 (![A,B]: (( A != B| greater_or_equal(A,B) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f11,hypothesis,(
% 0.15/5.41 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater_or_equal(B,appear(efficient_producers,A))| greater(cardinality_at_time(efficient_producers,B),zero) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f12,hypothesis,(
% 0.15/5.41 (![A]: (( ~ environment(A)| ~ stable(A)| greater(sk2(A),appear(efficient_producers,A)) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f13,hypothesis,(
% 0.15/5.41 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ greater_or_equal(B,sk2(A))| greater(zero,growth_rate(first_movers,B)) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f14,negated_conjecture,(
% 0.15/5.41 environment(sk3) ),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f15,negated_conjecture,(
% 0.15/5.41 stable(sk3) ),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f16,negated_conjecture,(
% 0.15/5.41 (![A]: (( ~ greater(A,appear(efficient_producers,sk3))| ~ contracts_from(A,first_movers) ) ))),
% 0.15/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/5.41 fof(f17,plain,(
% 0.15/5.41 ![B]: ((![A]: (((~environment(A)|~stable(A))|~in_environment(A,B))|greater(cardinality_at_time(first_movers,sk1(B,A)),zero)))|contracts_from(B,first_movers))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f1])).
% 0.15/5.41 fof(f18,plain,(
% 0.15/5.41 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero)|contracts_from(X1,first_movers))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f17])).
% 0.15/5.41 fof(f19,plain,(
% 0.15/5.41 ![B]: ((![A]: (((~environment(A)|~stable(A))|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|contracts_from(B,first_movers))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f2])).
% 0.15/5.41 fof(f20,plain,(
% 0.15/5.41 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|contracts_from(X1,first_movers))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f19])).
% 0.15/5.41 fof(f21,plain,(
% 0.15/5.41 ![B]: ((![A]: (((~environment(A)|~stable(A))|~in_environment(A,B))|~greater(zero,growth_rate(first_movers,sk1(B,A)))))|contracts_from(B,first_movers))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f3])).
% 0.15/5.41 fof(f22,plain,(
% 0.15/5.41 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(zero,growth_rate(first_movers,sk1(X1,X0)))|contracts_from(X1,first_movers))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f21])).
% 0.15/5.41 fof(f23,plain,(
% 0.15/5.41 ![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))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/5.41 fof(f24,plain,(
% 0.15/5.41 ![A,C]: ((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|~greater(C,B)))|in_environment(A,C))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f5])).
% 0.15/5.41 fof(f25,plain,(
% 0.15/5.41 ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(X2,X1)|in_environment(X0,X2))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f24])).
% 0.15/5.41 fof(f26,plain,(
% 0.15/5.41 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,appear(efficient_producers,X0)))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f6])).
% 0.15/5.41 fof(f27,plain,(
% 0.15/5.41 ![A,C]: ((![B]: (~greater(A,B)|~greater(B,C)))|greater(A,C))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f7])).
% 0.15/5.41 fof(f28,plain,(
% 0.15/5.41 ![X0,X1,X2]: (~greater(X0,X1)|~greater(X1,X2)|greater(X0,X2))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f27])).
% 0.15/5.41 fof(f29,plain,(
% 0.15/5.41 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/5.41 fof(f30,plain,(
% 0.15/5.41 ![X0,X1]: (~greater(X0,X1)|greater_or_equal(X0,X1))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 0.15/5.41 fof(f31,plain,(
% 0.15/5.41 ![X0,X1]: (~X0=X1|greater_or_equal(X0,X1))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/5.41 fof(f32,plain,(
% 0.15/5.41 ![B]: ((![A]: ((~environment(A)|~in_environment(A,B))|~greater_or_equal(B,appear(efficient_producers,A))))|greater(cardinality_at_time(efficient_producers,B),zero))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f11])).
% 0.15/5.41 fof(f33,plain,(
% 0.15/5.41 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater_or_equal(X1,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f32])).
% 0.15/5.41 fof(f34,plain,(
% 0.15/5.41 ![X0]: (~environment(X0)|~stable(X0)|greater(sk2(X0),appear(efficient_producers,X0)))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/5.41 fof(f35,plain,(
% 0.15/5.41 ![B]: ((![A]: (((~environment(A)|~stable(A))|~subpopulations(first_movers,efficient_producers,A,B))|~greater_or_equal(B,sk2(A))))|greater(zero,growth_rate(first_movers,B)))),
% 0.15/5.41 inference(miniscoping,[status(thm)],[f13])).
% 0.15/5.41 fof(f36,plain,(
% 0.15/5.41 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk2(X0))|greater(zero,growth_rate(first_movers,X1)))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f35])).
% 0.15/5.41 fof(f37,plain,(
% 0.15/5.41 environment(sk3)),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f14])).
% 0.15/5.41 fof(f38,plain,(
% 0.15/5.41 stable(sk3)),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f15])).
% 0.15/5.41 fof(f39,plain,(
% 0.15/5.41 ![X0]: (~greater(X0,appear(efficient_producers,sk3))|~contracts_from(X0,first_movers))),
% 0.15/5.41 inference(cnf_transformation,[status(thm)],[f16])).
% 0.15/5.41 fof(f40,plain,(
% 0.15/5.41 ![X0]: (greater_or_equal(X0,X0))),
% 0.15/5.41 inference(destructive_equality_resolution,[status(thm)],[f31])).
% 0.15/5.41 fof(f41,plain,(
% 0.15/5.41 ~environment(sk3)|in_environment(sk3,appear(efficient_producers,sk3))),
% 0.15/5.41 inference(resolution,[status(thm)],[f26,f38])).
% 0.15/5.41 fof(f42,definition,(
% 0.15/5.41 sQ0_spl <=> (environment(sk3))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f44,plain,(
% 0.15/5.41 ~environment(sk3)|sQ0_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f42])).
% 0.15/5.41 fof(f45,definition,(
% 0.15/5.41 sQ1_spl <=> (in_environment(sk3,appear(efficient_producers,sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f46,plain,(
% 0.15/5.41 in_environment(sk3,appear(efficient_producers,sk3))|~sQ1_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f45])).
% 0.15/5.41 fof(f48,plain,(
% 0.15/5.41 ~sQ0_spl|sQ1_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f41,f42,f45])).
% 0.15/5.41 fof(f49,plain,(
% 0.15/5.41 $false|sQ0_spl),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f44,f37])).
% 0.15/5.41 fof(f50,plain,(
% 0.15/5.41 sQ0_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f49])).
% 0.15/5.41 fof(f51,plain,(
% 0.15/5.41 ![X0]: (~environment(sk3)|~stable(sk3)|~greater(X0,appear(efficient_producers,sk3))|in_environment(sk3,X0)|~sQ1_spl)),
% 0.15/5.41 inference(resolution,[status(thm)],[f46,f25])).
% 0.15/5.41 fof(f52,definition,(
% 0.15/5.41 sQ2_spl <=> (stable(sk3))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f54,plain,(
% 0.15/5.41 ~stable(sk3)|sQ2_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f52])).
% 0.15/5.41 fof(f55,definition,(
% 0.15/5.41 ![X0]: (sQ3_spl <=> (~greater(X0,appear(efficient_producers,sk3))|in_environment(sk3,X0)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f56,plain,(
% 0.15/5.41 ![X0]: (~greater(X0,appear(efficient_producers,sk3))|in_environment(sk3,X0)|~sQ3_spl)),
% 0.15/5.41 inference(component_clause,[status(thm)],[f55])).
% 0.15/5.41 fof(f58,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ2_spl|sQ3_spl|~sQ1_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f51,f42,f52,f55,f45])).
% 0.15/5.41 fof(f59,plain,(
% 0.15/5.41 $false|sQ2_spl),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f54,f38])).
% 0.15/5.41 fof(f60,plain,(
% 0.15/5.41 sQ2_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f59])).
% 0.15/5.41 fof(f61,plain,(
% 0.15/5.41 ![X0]: (~environment(X0)|~in_environment(X0,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,appear(efficient_producers,X0)),zero))),
% 0.15/5.41 inference(resolution,[status(thm)],[f40,f33])).
% 0.15/5.41 fof(f62,plain,(
% 0.15/5.41 ~environment(sk3)|greater(sk2(sk3),appear(efficient_producers,sk3))),
% 0.15/5.41 inference(resolution,[status(thm)],[f34,f38])).
% 0.15/5.41 fof(f63,definition,(
% 0.15/5.41 sQ4_spl <=> (greater(sk2(sk3),appear(efficient_producers,sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f64,plain,(
% 0.15/5.41 greater(sk2(sk3),appear(efficient_producers,sk3))|~sQ4_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f63])).
% 0.15/5.41 fof(f66,plain,(
% 0.15/5.41 ~sQ0_spl|sQ4_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f62,f42,f63])).
% 0.15/5.41 fof(f71,definition,(
% 0.15/5.41 sQ6_spl <=> (greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk3)),zero))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f78,plain,(
% 0.15/5.41 ~environment(sk3)|greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk3)),zero)|~sQ1_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f61,f46])).
% 0.15/5.41 fof(f79,plain,(
% 0.15/5.41 ~sQ0_spl|sQ6_spl|~sQ1_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f78,f42,f71,f45])).
% 0.15/5.41 fof(f80,plain,(
% 0.15/5.41 in_environment(sk3,sk2(sk3))|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f64,f56])).
% 0.15/5.41 fof(f81,plain,(
% 0.15/5.41 ~contracts_from(sk2(sk3),first_movers)|~sQ4_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f64,f39])).
% 0.15/5.41 fof(f82,plain,(
% 0.15/5.41 greater_or_equal(sk2(sk3),appear(efficient_producers,sk3))|~sQ4_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f64,f30])).
% 0.15/5.41 fof(f98,plain,(
% 0.15/5.41 ~environment(sk3)|~stable(sk3)|greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)|contracts_from(sk2(sk3),first_movers)|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f80,f18])).
% 0.15/5.41 fof(f99,plain,(
% 0.15/5.41 ~environment(sk3)|~stable(sk3)|greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))|contracts_from(sk2(sk3),first_movers)|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f80,f20])).
% 0.15/5.41 fof(f100,plain,(
% 0.15/5.41 ~environment(sk3)|~greater(cardinality_at_time(first_movers,sk2(sk3)),zero)|~greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)|subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f80,f23])).
% 0.15/5.41 fof(f101,plain,(
% 0.15/5.41 ![X0]: (~environment(sk3)|~stable(sk3)|~greater(X0,sk2(sk3))|in_environment(sk3,X0)|~sQ4_spl|~sQ3_spl)),
% 0.15/5.41 inference(resolution,[status(thm)],[f80,f25])).
% 0.15/5.41 fof(f102,definition,(
% 0.15/5.41 sQ11_spl <=> (greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f103,plain,(
% 0.15/5.41 greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)|~sQ11_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f102])).
% 0.15/5.41 fof(f105,definition,(
% 0.15/5.41 sQ12_spl <=> (contracts_from(sk2(sk3),first_movers))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f106,plain,(
% 0.15/5.41 contracts_from(sk2(sk3),first_movers)|~sQ12_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f105])).
% 0.15/5.41 fof(f108,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ2_spl|sQ11_spl|sQ12_spl|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f98,f42,f52,f102,f105,f63,f55])).
% 0.15/5.41 fof(f109,definition,(
% 0.15/5.41 sQ13_spl <=> (greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f110,plain,(
% 0.15/5.41 greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))|~sQ13_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f109])).
% 0.15/5.41 fof(f112,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ2_spl|sQ13_spl|sQ12_spl|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f99,f42,f52,f109,f105,f63,f55])).
% 0.15/5.41 fof(f113,definition,(
% 0.15/5.41 sQ14_spl <=> (greater(cardinality_at_time(first_movers,sk2(sk3)),zero))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f115,plain,(
% 0.15/5.41 ~greater(cardinality_at_time(first_movers,sk2(sk3)),zero)|sQ14_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f113])).
% 0.15/5.41 fof(f116,definition,(
% 0.15/5.41 sQ15_spl <=> (greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f119,definition,(
% 0.15/5.41 sQ16_spl <=> (subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f120,plain,(
% 0.15/5.41 subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|~sQ16_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f119])).
% 0.15/5.41 fof(f122,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ14_spl|~sQ15_spl|sQ16_spl|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f100,f42,f113,f116,f119,f63,f55])).
% 0.15/5.41 fof(f123,definition,(
% 0.15/5.41 ![X0]: (sQ17_spl <=> (~greater(X0,sk2(sk3))|in_environment(sk3,X0)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f124,plain,(
% 0.15/5.41 ![X0]: (~greater(X0,sk2(sk3))|in_environment(sk3,X0)|~sQ17_spl)),
% 0.15/5.41 inference(component_clause,[status(thm)],[f123])).
% 0.15/5.41 fof(f126,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ2_spl|sQ17_spl|~sQ4_spl|~sQ3_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f101,f42,f52,f123,f63,f55])).
% 0.15/5.41 fof(f127,plain,(
% 0.15/5.41 $false|~sQ4_spl|~sQ12_spl),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f106,f81])).
% 0.15/5.41 fof(f128,plain,(
% 0.15/5.41 ~sQ4_spl|~sQ12_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f127])).
% 0.15/5.41 fof(f131,plain,(
% 0.15/5.41 ~environment(sk3)|~in_environment(sk3,sk2(sk3))|greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)|~sQ4_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f82,f33])).
% 0.15/5.41 fof(f133,definition,(
% 0.15/5.41 sQ18_spl <=> (in_environment(sk3,sk2(sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f135,plain,(
% 0.15/5.41 ~in_environment(sk3,sk2(sk3))|sQ18_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f133])).
% 0.15/5.41 fof(f136,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ18_spl|sQ15_spl|~sQ4_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f131,f42,f133,f116,f63])).
% 0.15/5.41 fof(f141,plain,(
% 0.15/5.41 $false|~sQ4_spl|~sQ3_spl|sQ18_spl),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f135,f80])).
% 0.15/5.41 fof(f142,plain,(
% 0.15/5.41 ~sQ4_spl|~sQ3_spl|sQ18_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f141])).
% 0.15/5.41 fof(f155,plain,(
% 0.15/5.41 greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk1(sk2(sk3),sk3)=sk2(sk3)|~sQ13_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f110,f29])).
% 0.15/5.41 fof(f156,definition,(
% 0.15/5.41 sQ22_spl <=> (greater(sk1(sk2(sk3),sk3),sk2(sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f157,plain,(
% 0.15/5.41 greater(sk1(sk2(sk3),sk3),sk2(sk3))|~sQ22_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f156])).
% 0.15/5.41 fof(f159,definition,(
% 0.15/5.41 sQ23_spl <=> (sk1(sk2(sk3),sk3)=sk2(sk3))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f160,plain,(
% 0.15/5.41 sk1(sk2(sk3),sk3)=sk2(sk3)|~sQ23_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f159])).
% 0.15/5.41 fof(f162,plain,(
% 0.15/5.41 sQ22_spl|sQ23_spl|~sQ13_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f155,f156,f159,f109])).
% 0.15/5.41 fof(f163,plain,(
% 0.15/5.41 in_environment(sk3,sk1(sk2(sk3),sk3))|~sQ22_spl|~sQ17_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f157,f124])).
% 0.15/5.41 fof(f165,plain,(
% 0.15/5.41 ![X0]: (~greater(sk2(sk3),X0)|greater(sk1(sk2(sk3),sk3),X0)|~sQ22_spl)),
% 0.15/5.41 inference(resolution,[status(thm)],[f157,f28])).
% 0.15/5.41 fof(f168,plain,(
% 0.15/5.41 ~environment(sk3)|~greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)|~greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)|subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|~sQ22_spl|~sQ17_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f163,f23])).
% 0.15/5.41 fof(f181,definition,(
% 0.15/5.41 sQ27_spl <=> (greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f184,definition,(
% 0.15/5.41 sQ28_spl <=> (subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f185,plain,(
% 0.15/5.41 subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|~sQ28_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f184])).
% 0.15/5.41 fof(f186,plain,(
% 0.15/5.41 ~subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|sQ28_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f184])).
% 0.15/5.41 fof(f187,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ11_spl|~sQ27_spl|sQ28_spl|~sQ22_spl|~sQ17_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f168,f42,f102,f181,f184,f156,f123])).
% 0.15/5.41 fof(f199,plain,(
% 0.15/5.41 greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))|~sQ22_spl|~sQ4_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f165,f64])).
% 0.15/5.41 fof(f202,plain,(
% 0.15/5.41 greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))|~sQ22_spl|~sQ4_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f199,f30])).
% 0.15/5.41 fof(f216,plain,(
% 0.15/5.41 ~environment(sk3)|~in_environment(sk3,sk1(sk2(sk3),sk3))|greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)|~sQ22_spl|~sQ4_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f202,f33])).
% 0.15/5.41 fof(f218,definition,(
% 0.15/5.41 sQ33_spl <=> (in_environment(sk3,sk1(sk2(sk3),sk3)))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f220,plain,(
% 0.15/5.41 ~in_environment(sk3,sk1(sk2(sk3),sk3))|sQ33_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f218])).
% 0.15/5.41 fof(f221,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ33_spl|sQ27_spl|~sQ22_spl|~sQ4_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f216,f42,f218,f181,f156,f63])).
% 0.15/5.41 fof(f229,plain,(
% 0.15/5.41 $false|~sQ22_spl|~sQ17_spl|sQ33_spl),
% 0.15/5.41 inference(forward_subsumption_resolution,[status(thm)],[f220,f163])).
% 0.15/5.41 fof(f230,plain,(
% 0.15/5.41 ~sQ22_spl|~sQ17_spl|sQ33_spl),
% 0.15/5.41 inference(contradiction_clause,[status(thm)],[f229])).
% 0.15/5.41 fof(f231,plain,(
% 0.15/5.41 ~environment(sk3)|~stable(sk3)|~greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))|greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))|~sQ28_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f185,f36])).
% 0.15/5.41 fof(f232,definition,(
% 0.15/5.41 sQ36_spl <=> (greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))))),
% 0.15/5.41 introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition])).
% 0.15/5.41 fof(f233,plain,(
% 0.15/5.41 greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))|~sQ36_spl),
% 0.15/5.41 inference(component_clause,[status(thm)],[f232])).
% 0.15/5.41 fof(f235,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ2_spl|~sQ13_spl|sQ36_spl|~sQ28_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f231,f42,f52,f109,f232,f184])).
% 0.15/5.41 fof(f243,plain,(
% 0.15/5.41 ~environment(sk3)|~stable(sk3)|~in_environment(sk3,sk2(sk3))|contracts_from(sk2(sk3),first_movers)|~sQ36_spl),
% 0.15/5.41 inference(resolution,[status(thm)],[f233,f22])).
% 0.15/5.41 fof(f250,plain,(
% 0.15/5.41 ~sQ0_spl|~sQ2_spl|~sQ18_spl|sQ12_spl|~sQ36_spl),
% 0.15/5.41 inference(split_clause,[status(thm)],[f243,f42,f52,f133,f105,f232])).
% 0.15/5.41 fof(f257,plain,(
% 0.15/5.41 greater(cardinality_at_time(first_movers,sk2(sk3)),zero)|~sQ23_spl|~sQ11_spl),
% 0.15/5.41 inference(backward_demodulation,[status(thm)],[f160,f103])).
% 0.15/5.42 fof(f262,plain,(
% 0.15/5.42 ~subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|~sQ23_spl|sQ28_spl),
% 0.15/5.42 inference(forward_demodulation,[status(thm)],[f160,f186])).
% 0.15/5.42 fof(f272,plain,(
% 0.15/5.42 $false|~sQ23_spl|sQ28_spl|~sQ16_spl),
% 0.15/5.42 inference(forward_subsumption_resolution,[status(thm)],[f120,f262])).
% 0.15/5.42 fof(f273,plain,(
% 0.15/5.42 ~sQ23_spl|sQ28_spl|~sQ16_spl),
% 0.15/5.42 inference(contradiction_clause,[status(thm)],[f272])).
% 0.15/5.42 fof(f277,plain,(
% 0.15/5.42 $false|~sQ23_spl|~sQ11_spl|sQ14_spl),
% 0.15/5.42 inference(forward_subsumption_resolution,[status(thm)],[f115,f257])).
% 0.15/5.42 fof(f278,plain,(
% 0.15/5.42 ~sQ23_spl|~sQ11_spl|sQ14_spl),
% 0.15/5.42 inference(contradiction_clause,[status(thm)],[f277])).
% 0.15/5.42 fof(f279,plain,(
% 0.15/5.42 $false),
% 0.15/5.42 inference(sat_refutation,[status(thm)],[f48,f50,f58,f60,f66,f79,f108,f112,f122,f126,f128,f136,f142,f162,f187,f221,f230,f235,f250,f273,f278])).
% 0.15/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/5.42 % Elapsed time: 0.041311 seconds
% 0.15/5.42 % CPU time: 0.150952 seconds
% 0.15/5.42 % Total memory used: 73.285 MB
% 0.15/5.42 % Net memory used: 72.913 MB
%------------------------------------------------------------------------------