%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : MGT023-2 : 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 : 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 0.13s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n013.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 01:21:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.38 fof(f1,axiom,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| in_environment(A,sk2(A)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f2,axiom,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| in_environment(A,sk2(A)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f3,axiom,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f4,axiom,(
% 0.13/0.38 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f5,axiom,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f6,axiom,(
% 0.13/0.38 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f7,axiom,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| in_environment(A,sk2(A)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f8,axiom,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f9,axiom,(
% 0.13/0.38 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f10,hypothesis,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk3(B,A))| B = critical_point(A) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f11,hypothesis,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| greater(sk3(B,A),B)| B = critical_point(A) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f12,hypothesis,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B))| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk3(B,A)),growth_rate(first_movers,sk3(B,A)))| B = critical_point(A) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f13,hypothesis,(
% 0.13/0.38 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,sk4(A)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f14,hypothesis,(
% 0.13/0.38 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ greater_or_equal(B,sk4(A))| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ))),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f15,negated_conjecture,(
% 0.13/0.38 environment(sk5) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f16,negated_conjecture,(
% 0.13/0.38 stable(sk5) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f17,negated_conjecture,(
% 0.13/0.38 ~ in_environment(sk5,critical_point(sk5)) ),
% 0.13/0.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.38 fof(f18,plain,(
% 0.13/0.38 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|in_environment(A,sk2(A)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.13/0.38 fof(f19,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|in_environment(X0,sk2(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.13/0.38 fof(f20,plain,(
% 0.13/0.38 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|in_environment(A,sk2(A)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f2])).
% 0.13/0.38 fof(f21,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|in_environment(X0,sk2(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f20])).
% 0.13/0.38 fof(f22,plain,(
% 0.13/0.38 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.13/0.38 fof(f23,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.38 fof(f24,plain,(
% 0.13/0.38 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f4])).
% 0.13/0.38 fof(f25,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f24])).
% 0.13/0.38 fof(f26,plain,(
% 0.13/0.38 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f5])).
% 0.13/0.38 fof(f27,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f26])).
% 0.13/0.38 fof(f28,plain,(
% 0.13/0.38 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.38 fof(f29,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.13/0.38 fof(f30,plain,(
% 0.13/0.38 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|in_environment(A,sk2(A)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f7])).
% 0.13/0.38 fof(f31,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|in_environment(X0,sk2(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f30])).
% 0.13/0.38 fof(f32,plain,(
% 0.13/0.38 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f8])).
% 0.13/0.38 fof(f33,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f32])).
% 0.13/0.38 fof(f34,plain,(
% 0.13/0.38 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f9])).
% 0.13/0.38 fof(f35,plain,(
% 0.13/0.38 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.13/0.38 fof(f36,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))|X1=critical_point(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.38 fof(f37,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|greater(sk3(X1,X0),X1)|X1=critical_point(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.38 fof(f38,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))|X1=critical_point(X0))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.38 fof(f39,plain,(
% 0.13/0.38 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk4(X0)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.38 fof(f40,plain,(
% 0.13/0.38 ![B]: ((![A]: (((~environment(A)|~stable(A))|~subpopulations(first_movers,efficient_producers,A,B))|~greater_or_equal(B,sk4(A))))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)))),
% 0.13/0.38 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.38 fof(f41,plain,(
% 0.13/0.38 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk4(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f40])).
% 0.13/0.38 fof(f42,plain,(
% 0.13/0.38 environment(sk5)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.38 fof(f43,plain,(
% 0.13/0.38 stable(sk5)),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.13/0.38 fof(f44,plain,(
% 0.13/0.38 ~in_environment(sk5,critical_point(sk5))),
% 0.13/0.38 inference(cnf_transformation,[status(thm)],[f17])).
% 0.13/0.38 fof(f45,plain,(
% 0.13/0.38 ~environment(sk5)|in_environment(sk5,sk4(sk5))),
% 0.13/0.38 inference(resolution,[status(thm)],[f39,f43])).
% 0.13/0.38 fof(f46,definition,(
% 0.13/0.38 sQ0_spl <=> (environment(sk5))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f48,plain,(
% 0.13/0.38 ~environment(sk5)|sQ0_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f46])).
% 0.13/0.38 fof(f49,definition,(
% 0.13/0.38 sQ1_spl <=> (in_environment(sk5,sk4(sk5)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f50,plain,(
% 0.13/0.38 in_environment(sk5,sk4(sk5))|~sQ1_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f49])).
% 0.13/0.38 fof(f52,plain,(
% 0.13/0.38 ~sQ0_spl|sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f45,f46,f49])).
% 0.13/0.38 fof(f53,plain,(
% 0.13/0.38 $false|sQ0_spl),
% 0.13/0.38 inference(forward_subsumption_resolution,[status(thm)],[f48,f42])).
% 0.13/0.38 fof(f54,plain,(
% 0.13/0.38 sQ0_spl),
% 0.13/0.38 inference(contradiction_clause,[status(thm)],[f53])).
% 0.13/0.38 fof(f55,plain,(
% 0.13/0.38 ~environment(sk5)|greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|in_environment(sk5,sk2(sk5))|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f50,f21])).
% 0.13/0.38 fof(f56,plain,(
% 0.13/0.38 ~environment(sk5)|subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|in_environment(sk5,sk2(sk5))|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f50,f19])).
% 0.13/0.38 fof(f57,plain,(
% 0.13/0.38 ~environment(sk5)|greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk4(sk5),sk5))|sk4(sk5)=critical_point(sk5)|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f50,f36])).
% 0.13/0.38 fof(f58,plain,(
% 0.13/0.38 ~environment(sk5)|greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5)))|greater(sk3(sk4(sk5),sk5),sk4(sk5))|sk4(sk5)=critical_point(sk5)|~sQ1_spl),
% 0.13/0.38 inference(resolution,[status(thm)],[f50,f37])).
% 0.13/0.38 fof(f59,definition,(
% 0.13/0.38 sQ2_spl <=> (greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f62,definition,(
% 0.13/0.38 sQ3_spl <=> (in_environment(sk5,sk2(sk5)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f63,plain,(
% 0.13/0.38 in_environment(sk5,sk2(sk5))|~sQ3_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f62])).
% 0.13/0.38 fof(f65,plain,(
% 0.13/0.38 ~sQ0_spl|sQ2_spl|sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f55,f46,f59,f62,f49])).
% 0.13/0.38 fof(f66,definition,(
% 0.13/0.38 sQ4_spl <=> (subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f67,plain,(
% 0.13/0.38 subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|~sQ4_spl),
% 0.13/0.38 inference(component_clause,[status(thm)],[f66])).
% 0.13/0.38 fof(f69,plain,(
% 0.13/0.38 ~sQ0_spl|sQ4_spl|sQ3_spl|~sQ1_spl),
% 0.13/0.38 inference(split_clause,[status(thm)],[f56,f46,f66,f62,f49])).
% 0.13/0.38 fof(f70,definition,(
% 0.13/0.38 sQ5_spl <=> (greater(growth_rate(efficient_producers,sk4(sk5)),growth_rate(first_movers,sk4(sk5))))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.13/0.38 fof(f73,definition,(
% 0.13/0.38 sQ6_spl <=> (subpopulations(first_movers,efficient_producers,sk5,sk3(sk4(sk5),sk5)))),
% 0.13/0.38 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f76,definition,(
% 0.13/0.39 sQ7_spl <=> (sk4(sk5)=critical_point(sk5))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f77,plain,(
% 0.13/0.39 sk4(sk5)=critical_point(sk5)|~sQ7_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f76])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 ~sQ0_spl|sQ5_spl|sQ6_spl|sQ7_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f57,f46,f70,f73,f76,f49])).
% 0.13/0.39 fof(f80,definition,(
% 0.13/0.39 sQ8_spl <=> (greater(sk3(sk4(sk5),sk5),sk4(sk5)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 ~sQ0_spl|sQ5_spl|sQ8_spl|sQ7_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f58,f46,f70,f80,f76,f49])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 in_environment(sk5,critical_point(sk5))|~sQ7_spl|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f77,f50])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 $false|~sQ7_spl|~sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f84,f44])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 ~sQ7_spl|~sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f89,plain,(
% 0.13/0.39 ~environment(sk5)|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|sk2(sk5)=critical_point(sk5)|~sQ3_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f63,f36])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 ~environment(sk5)|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|greater(sk3(sk2(sk5),sk5),sk2(sk5))|sk2(sk5)=critical_point(sk5)|~sQ3_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f63,f37])).
% 0.13/0.39 fof(f99,definition,(
% 0.13/0.39 sQ11_spl <=> (greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f100,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|~sQ11_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f99])).
% 0.13/0.39 fof(f102,definition,(
% 0.13/0.39 sQ12_spl <=> (subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f103,plain,(
% 0.13/0.39 subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))|~sQ12_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f102])).
% 0.13/0.39 fof(f105,definition,(
% 0.13/0.39 sQ13_spl <=> (sk2(sk5)=critical_point(sk5))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 sk2(sk5)=critical_point(sk5)|~sQ13_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f105])).
% 0.13/0.39 fof(f108,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ12_spl|sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f89,f46,f99,f102,f105,f62])).
% 0.13/0.39 fof(f109,definition,(
% 0.13/0.39 sQ14_spl <=> (greater(sk3(sk2(sk5),sk5),sk2(sk5)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|sQ14_spl|sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f90,f46,f99,f109,f105,f62])).
% 0.13/0.39 fof(f113,plain,(
% 0.13/0.39 ~in_environment(sk5,sk2(sk5))|~sQ13_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f106,f44])).
% 0.13/0.39 fof(f125,definition,(
% 0.13/0.39 ![X0]: (sQ15_spl <=> (~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f126,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)|~sQ15_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f125])).
% 0.13/0.39 fof(f131,definition,(
% 0.13/0.39 sQ17_spl <=> (greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f132,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|~sQ17_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f131])).
% 0.13/0.39 fof(f135,definition,(
% 0.13/0.39 ![X0]: (sQ18_spl <=> (~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f136,plain,(
% 0.13/0.39 ![X0]: (~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))|~sQ18_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f135])).
% 0.13/0.39 fof(f139,plain,(
% 0.13/0.39 ![X0]: (~environment(sk5)|~in_environment(sk5,sk4(sk5))|~subpopulations(first_movers,efficient_producers,sk5,X0)|~greater(X0,sk2(sk5))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~sQ17_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f132,f35])).
% 0.13/0.39 fof(f140,plain,(
% 0.13/0.39 ~environment(sk5)|~in_environment(sk5,sk4(sk5))|~greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|~sQ17_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f132,f33])).
% 0.13/0.39 fof(f141,plain,(
% 0.13/0.39 ~environment(sk5)|~in_environment(sk5,sk4(sk5))|in_environment(sk5,sk2(sk5))|~sQ17_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f132,f31])).
% 0.13/0.39 fof(f142,definition,(
% 0.13/0.39 ![X0]: (sQ19_spl <=> (~subpopulations(first_movers,efficient_producers,sk5,X0)|~greater(X0,sk2(sk5))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.39 ![X0]: (~subpopulations(first_movers,efficient_producers,sk5,X0)|~greater(X0,sk2(sk5))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~sQ19_spl)),
% 0.13/0.39 inference(component_clause,[status(thm)],[f142])).
% 0.13/0.39 fof(f145,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|sQ19_spl|~sQ17_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f139,f46,f49,f142,f131])).
% 0.13/0.39 fof(f146,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|~sQ11_spl|~sQ17_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f140,f46,f49,f99,f131])).
% 0.13/0.39 fof(f147,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ1_spl|sQ3_spl|~sQ17_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f141,f46,f49,f62,f131])).
% 0.13/0.39 fof(f148,plain,(
% 0.13/0.39 $false|~sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f63,f113])).
% 0.13/0.39 fof(f149,plain,(
% 0.13/0.39 ~sQ13_spl|~sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f148])).
% 0.13/0.39 fof(f150,plain,(
% 0.13/0.39 ~environment(sk5)|~stable(sk5)|~greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))|~sQ4_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f41,f67])).
% 0.13/0.39 fof(f151,definition,(
% 0.13/0.39 sQ20_spl <=> (stable(sk5))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f153,plain,(
% 0.13/0.39 ~stable(sk5)|sQ20_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f151])).
% 0.13/0.39 fof(f154,plain,(
% 0.13/0.39 ~sQ0_spl|~sQ20_spl|~sQ2_spl|sQ17_spl|~sQ4_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f150,f46,f151,f59,f131,f66])).
% 0.13/0.39 fof(f155,plain,(
% 0.13/0.39 $false|sQ20_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f153,f43])).
% 0.13/0.39 fof(f156,plain,(
% 0.13/0.39 sQ20_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f155])).
% 0.13/0.39 fof(f165,plain,(
% 0.13/0.39 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)|~sQ11_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f100,f27])).
% 0.13/0.39 fof(f166,plain,(
% 0.13/0.39 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))|~sQ11_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f100,f23])).
% 0.13/0.39 fof(f167,plain,(
% 0.13/0.39 ~sQ0_spl|sQ15_spl|~sQ11_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f165,f46,f125,f99])).
% 0.13/0.39 fof(f168,plain,(
% 0.13/0.39 ~sQ0_spl|sQ18_spl|~sQ11_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f166,f46,f135,f99])).
% 0.13/0.39 fof(f170,plain,(
% 0.13/0.39 greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))|~sQ15_spl|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f126,f50])).
% 0.13/0.39 fof(f172,plain,(
% 0.13/0.39 subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))|~sQ18_spl|~sQ1_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f136,f50])).
% 0.13/0.39 fof(f173,plain,(
% 0.13/0.39 sQ4_spl|~sQ18_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f172,f66,f135,f49])).
% 0.13/0.39 fof(f175,plain,(
% 0.13/0.39 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|greater_or_equal(sk1(X0,sk5),X0)|~greater(sk3(sk2(sk5),sk5),sk2(sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~sQ12_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f103,f29])).
% 0.13/0.39 fof(f176,plain,(
% 0.13/0.39 ![X0]: (~environment(sk5)|~in_environment(sk5,X0)|subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))|~greater(sk3(sk2(sk5),sk5),sk2(sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~sQ12_spl)),
% 0.13/0.39 inference(resolution,[status(thm)],[f103,f25])).
% 0.13/0.39 fof(f180,definition,(
% 0.13/0.39 sQ22_spl <=> (greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f181,plain,(
% 0.13/0.39 greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~sQ22_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f180])).
% 0.13/0.39 fof(f184,plain,(
% 0.13/0.39 ~sQ0_spl|sQ15_spl|~sQ14_spl|sQ22_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f175,f46,f125,f109,f180,f102])).
% 0.13/0.39 fof(f185,plain,(
% 0.13/0.39 ~sQ0_spl|sQ18_spl|~sQ14_spl|sQ22_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f176,f46,f135,f109,f180,f102])).
% 0.13/0.39 fof(f186,plain,(
% 0.13/0.39 ~greater(sk3(sk2(sk5),sk5),sk2(sk5))|greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))|~sQ19_spl|~sQ12_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f143,f103])).
% 0.13/0.39 fof(f187,plain,(
% 0.13/0.39 ~sQ14_spl|sQ22_spl|~sQ19_spl|~sQ12_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f186,f109,f180,f142,f102])).
% 0.13/0.39 fof(f188,plain,(
% 0.13/0.39 ~environment(sk5)|greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))|~in_environment(sk5,sk2(sk5))|sk2(sk5)=critical_point(sk5)|~sQ22_spl),
% 0.13/0.39 inference(resolution,[status(thm)],[f181,f38])).
% 0.13/0.39 fof(f189,plain,(
% 0.13/0.39 ~sQ0_spl|sQ11_spl|~sQ3_spl|sQ13_spl|~sQ22_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f188,f46,f99,f62,f105,f180])).
% 0.13/0.39 fof(f190,plain,(
% 0.13/0.39 sQ2_spl|~sQ15_spl|~sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f170,f59,f125,f49])).
% 0.13/0.39 fof(f191,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f52,f54,f65,f69,f79,f83,f86,f108,f112,f145,f146,f147,f149,f154,f156,f167,f168,f173,f184,f185,f187,f189,f190])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.056552 seconds
% 0.13/0.41 % CPU time: 0.158243 seconds
% 0.13/0.41 % Total memory used: 80.991 MB
% 0.13/0.41 % Net memory used: 80.593 MB
%------------------------------------------------------------------------------