TSTP Solution File: MGT027-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:28:40 EDT 2024
% Result : Unsatisfiable 0.21s 0.40s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n011.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 23:42:16 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.21/0.40 % Refutation found
% 0.21/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.40 fof(f1,axiom,(
% 0.21/0.40 (![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) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f2,axiom,(
% 0.21/0.40 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| contracts_from(B,first_movers) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f3,axiom,(
% 0.21/0.40 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| ~ greater(zero,growth_rate(first_movers,sk1(B,A)))| contracts_from(B,first_movers) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f4,axiom,(
% 0.21/0.40 (![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) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f5,axiom,(
% 0.21/0.40 (![A,B,C]: (( ~ environment(A)| ~ stable(A)| ~ in_environment(A,B)| ~ greater(C,B)| in_environment(A,C) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f6,axiom,(
% 0.21/0.40 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,appear(efficient_producers,A)) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f7,axiom,(
% 0.21/0.40 (![A,B,C]: (( ~ greater(A,B)| ~ greater(B,C)| greater(A,C) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f8,axiom,(
% 0.21/0.40 (![A,B]: (( ~ greater_or_equal(A,B)| greater(A,B)| A = B ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f9,axiom,(
% 0.21/0.40 (![A,B]: (( ~ greater(A,B)| greater_or_equal(A,B) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f10,axiom,(
% 0.21/0.40 (![A,B]: (( A != B| greater_or_equal(A,B) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f11,hypothesis,(
% 0.21/0.40 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater_or_equal(B,appear(efficient_producers,A))| greater(cardinality_at_time(efficient_producers,B),zero) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f12,hypothesis,(
% 0.21/0.40 (![A]: (( ~ environment(A)| ~ stable(A)| greater(sk2(A),appear(efficient_producers,A)) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f13,hypothesis,(
% 0.21/0.40 (![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)) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f14,negated_conjecture,(
% 0.21/0.40 environment(sk3) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f15,negated_conjecture,(
% 0.21/0.40 stable(sk3) ),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f16,negated_conjecture,(
% 0.21/0.40 (![A]: (( ~ greater(A,appear(efficient_producers,sk3))| ~ contracts_from(A,first_movers) ) ))),
% 0.21/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.21/0.40 fof(f17,plain,(
% 0.21/0.40 ![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))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f1])).
% 0.21/0.40 fof(f18,plain,(
% 0.21/0.40 ![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))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.40 fof(f19,plain,(
% 0.21/0.40 ![B]: ((![A]: (((~environment(A)|~stable(A))|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|contracts_from(B,first_movers))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f2])).
% 0.21/0.40 fof(f20,plain,(
% 0.21/0.40 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|contracts_from(X1,first_movers))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f19])).
% 0.21/0.40 fof(f21,plain,(
% 0.21/0.40 ![B]: ((![A]: (((~environment(A)|~stable(A))|~in_environment(A,B))|~greater(zero,growth_rate(first_movers,sk1(B,A)))))|contracts_from(B,first_movers))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f3])).
% 0.21/0.40 fof(f22,plain,(
% 0.21/0.40 ![X0,X1]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(zero,growth_rate(first_movers,sk1(X1,X0)))|contracts_from(X1,first_movers))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f21])).
% 0.21/0.40 fof(f23,plain,(
% 0.21/0.40 ![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))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f4])).
% 0.21/0.40 fof(f24,plain,(
% 0.21/0.40 ![A,C]: ((![B]: (((~environment(A)|~stable(A))|~in_environment(A,B))|~greater(C,B)))|in_environment(A,C))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f5])).
% 0.21/0.40 fof(f25,plain,(
% 0.21/0.40 ![X0,X1,X2]: (~environment(X0)|~stable(X0)|~in_environment(X0,X1)|~greater(X2,X1)|in_environment(X0,X2))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f24])).
% 0.21/0.40 fof(f26,plain,(
% 0.21/0.40 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,appear(efficient_producers,X0)))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f6])).
% 0.21/0.40 fof(f27,plain,(
% 0.21/0.40 ![A,C]: ((![B]: (~greater(A,B)|~greater(B,C)))|greater(A,C))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f7])).
% 0.21/0.40 fof(f28,plain,(
% 0.21/0.40 ![X0,X1,X2]: (~greater(X0,X1)|~greater(X1,X2)|greater(X0,X2))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f27])).
% 0.21/0.40 fof(f29,plain,(
% 0.21/0.40 ![X0,X1]: (~greater_or_equal(X0,X1)|greater(X0,X1)|X0=X1)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f8])).
% 0.21/0.40 fof(f30,plain,(
% 0.21/0.40 ![X0,X1]: (~greater(X0,X1)|greater_or_equal(X0,X1))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f9])).
% 0.21/0.40 fof(f31,plain,(
% 0.21/0.40 ![X0,X1]: (~X0=X1|greater_or_equal(X0,X1))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f10])).
% 0.21/0.40 fof(f32,plain,(
% 0.21/0.40 ![B]: ((![A]: ((~environment(A)|~in_environment(A,B))|~greater_or_equal(B,appear(efficient_producers,A))))|greater(cardinality_at_time(efficient_producers,B),zero))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f11])).
% 0.21/0.40 fof(f33,plain,(
% 0.21/0.40 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater_or_equal(X1,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f32])).
% 0.21/0.40 fof(f34,plain,(
% 0.21/0.40 ![X0]: (~environment(X0)|~stable(X0)|greater(sk2(X0),appear(efficient_producers,X0)))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f12])).
% 0.21/0.40 fof(f35,plain,(
% 0.21/0.40 ![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)))),
% 0.21/0.40 inference(miniscoping,[status(esa)],[f13])).
% 0.21/0.40 fof(f36,plain,(
% 0.21/0.40 ![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)))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f35])).
% 0.21/0.40 fof(f37,plain,(
% 0.21/0.40 environment(sk3)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f14])).
% 0.21/0.40 fof(f38,plain,(
% 0.21/0.40 stable(sk3)),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f15])).
% 0.21/0.40 fof(f39,plain,(
% 0.21/0.40 ![X0]: (~greater(X0,appear(efficient_producers,sk3))|~contracts_from(X0,first_movers))),
% 0.21/0.40 inference(cnf_transformation,[status(esa)],[f16])).
% 0.21/0.40 fof(f40,plain,(
% 0.21/0.40 ![X0]: (greater_or_equal(X0,X0))),
% 0.21/0.40 inference(destructive_equality_resolution,[status(esa)],[f31])).
% 0.21/0.40 fof(f41,plain,(
% 0.21/0.40 spl0_0 <=> environment(sk3)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f43,plain,(
% 0.21/0.40 ~environment(sk3)|spl0_0),
% 0.21/0.40 inference(component_clause,[status(thm)],[f41])).
% 0.21/0.40 fof(f44,plain,(
% 0.21/0.40 spl0_1 <=> in_environment(sk3,appear(efficient_producers,sk3))),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f45,plain,(
% 0.21/0.40 in_environment(sk3,appear(efficient_producers,sk3))|~spl0_1),
% 0.21/0.40 inference(component_clause,[status(thm)],[f44])).
% 0.21/0.40 fof(f47,plain,(
% 0.21/0.40 ~environment(sk3)|in_environment(sk3,appear(efficient_producers,sk3))),
% 0.21/0.40 inference(resolution,[status(thm)],[f26,f38])).
% 0.21/0.40 fof(f48,plain,(
% 0.21/0.40 ~spl0_0|spl0_1),
% 0.21/0.40 inference(split_clause,[status(thm)],[f47,f41,f44])).
% 0.21/0.40 fof(f49,plain,(
% 0.21/0.40 $false|spl0_0),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f43,f37])).
% 0.21/0.40 fof(f50,plain,(
% 0.21/0.40 spl0_0),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f49])).
% 0.21/0.40 fof(f51,plain,(
% 0.21/0.40 ![X0]: (~environment(X0)|~in_environment(X0,appear(efficient_producers,X0))|greater(cardinality_at_time(efficient_producers,appear(efficient_producers,X0)),zero))),
% 0.21/0.40 inference(resolution,[status(thm)],[f40,f33])).
% 0.21/0.40 fof(f52,plain,(
% 0.21/0.40 spl0_2 <=> greater(sk2(sk3),appear(efficient_producers,sk3))),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f53,plain,(
% 0.21/0.40 greater(sk2(sk3),appear(efficient_producers,sk3))|~spl0_2),
% 0.21/0.40 inference(component_clause,[status(thm)],[f52])).
% 0.21/0.40 fof(f55,plain,(
% 0.21/0.40 ~environment(sk3)|greater(sk2(sk3),appear(efficient_producers,sk3))),
% 0.21/0.40 inference(resolution,[status(thm)],[f34,f38])).
% 0.21/0.40 fof(f56,plain,(
% 0.21/0.40 ~spl0_0|spl0_2),
% 0.21/0.40 inference(split_clause,[status(thm)],[f55,f41,f52])).
% 0.21/0.40 fof(f57,plain,(
% 0.21/0.40 spl0_3 <=> greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk3)),zero)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f60,plain,(
% 0.21/0.40 ~environment(sk3)|greater(cardinality_at_time(efficient_producers,appear(efficient_producers,sk3)),zero)|~spl0_1),
% 0.21/0.40 inference(resolution,[status(thm)],[f45,f51])).
% 0.21/0.40 fof(f61,plain,(
% 0.21/0.40 ~spl0_0|spl0_3|~spl0_1),
% 0.21/0.40 inference(split_clause,[status(thm)],[f60,f41,f57,f44])).
% 0.21/0.40 fof(f70,plain,(
% 0.21/0.40 spl0_6 <=> stable(sk3)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f72,plain,(
% 0.21/0.40 ~stable(sk3)|spl0_6),
% 0.21/0.40 inference(component_clause,[status(thm)],[f70])).
% 0.21/0.40 fof(f86,plain,(
% 0.21/0.40 spl0_10 <=> ~greater(X0,appear(efficient_producers,sk3))|in_environment(sk3,X0)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f87,plain,(
% 0.21/0.40 ![X0]: (~greater(X0,appear(efficient_producers,sk3))|in_environment(sk3,X0)|~spl0_10)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f86])).
% 0.21/0.40 fof(f89,plain,(
% 0.21/0.40 ![X0]: (~environment(sk3)|~stable(sk3)|~greater(X0,appear(efficient_producers,sk3))|in_environment(sk3,X0)|~spl0_1)),
% 0.21/0.40 inference(resolution,[status(thm)],[f45,f25])).
% 0.21/0.40 fof(f90,plain,(
% 0.21/0.40 ~spl0_0|~spl0_6|spl0_10|~spl0_1),
% 0.21/0.40 inference(split_clause,[status(thm)],[f89,f41,f70,f86,f44])).
% 0.21/0.40 fof(f91,plain,(
% 0.21/0.40 $false|spl0_6),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f72,f38])).
% 0.21/0.40 fof(f92,plain,(
% 0.21/0.40 spl0_6),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f91])).
% 0.21/0.40 fof(f93,plain,(
% 0.21/0.40 in_environment(sk3,sk2(sk3))|~spl0_2|~spl0_10),
% 0.21/0.40 inference(resolution,[status(thm)],[f53,f87])).
% 0.21/0.40 fof(f94,plain,(
% 0.21/0.40 ~contracts_from(sk2(sk3),first_movers)|~spl0_2),
% 0.21/0.40 inference(resolution,[status(thm)],[f53,f39])).
% 0.21/0.40 fof(f95,plain,(
% 0.21/0.40 greater_or_equal(sk2(sk3),appear(efficient_producers,sk3))|~spl0_2),
% 0.21/0.40 inference(resolution,[status(thm)],[f53,f30])).
% 0.21/0.40 fof(f97,plain,(
% 0.21/0.40 spl0_11 <=> greater(cardinality_at_time(first_movers,sk2(sk3)),zero)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f99,plain,(
% 0.21/0.40 ~greater(cardinality_at_time(first_movers,sk2(sk3)),zero)|spl0_11),
% 0.21/0.40 inference(component_clause,[status(thm)],[f97])).
% 0.21/0.40 fof(f100,plain,(
% 0.21/0.40 spl0_12 <=> greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f103,plain,(
% 0.21/0.40 spl0_13 <=> subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f104,plain,(
% 0.21/0.40 subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|~spl0_13),
% 0.21/0.40 inference(component_clause,[status(thm)],[f103])).
% 0.21/0.40 fof(f106,plain,(
% 0.21/0.40 ~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))|~spl0_2|~spl0_10),
% 0.21/0.40 inference(resolution,[status(thm)],[f93,f23])).
% 0.21/0.40 fof(f107,plain,(
% 0.21/0.40 ~spl0_0|~spl0_11|~spl0_12|spl0_13|~spl0_2|~spl0_10),
% 0.21/0.40 inference(split_clause,[status(thm)],[f106,f41,f97,f100,f103,f52,f86])).
% 0.21/0.40 fof(f108,plain,(
% 0.21/0.40 spl0_14 <=> greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f109,plain,(
% 0.21/0.40 greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)|~spl0_14),
% 0.21/0.40 inference(component_clause,[status(thm)],[f108])).
% 0.21/0.40 fof(f111,plain,(
% 0.21/0.40 spl0_15 <=> contracts_from(sk2(sk3),first_movers)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f112,plain,(
% 0.21/0.40 contracts_from(sk2(sk3),first_movers)|~spl0_15),
% 0.21/0.40 inference(component_clause,[status(thm)],[f111])).
% 0.21/0.40 fof(f114,plain,(
% 0.21/0.40 ~environment(sk3)|~stable(sk3)|greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)|contracts_from(sk2(sk3),first_movers)|~spl0_2|~spl0_10),
% 0.21/0.40 inference(resolution,[status(thm)],[f93,f18])).
% 0.21/0.40 fof(f115,plain,(
% 0.21/0.40 ~spl0_0|~spl0_6|spl0_14|spl0_15|~spl0_2|~spl0_10),
% 0.21/0.40 inference(split_clause,[status(thm)],[f114,f41,f70,f108,f111,f52,f86])).
% 0.21/0.40 fof(f116,plain,(
% 0.21/0.40 spl0_16 <=> greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f117,plain,(
% 0.21/0.40 greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))|~spl0_16),
% 0.21/0.40 inference(component_clause,[status(thm)],[f116])).
% 0.21/0.40 fof(f119,plain,(
% 0.21/0.40 ~environment(sk3)|~stable(sk3)|greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))|contracts_from(sk2(sk3),first_movers)|~spl0_2|~spl0_10),
% 0.21/0.40 inference(resolution,[status(thm)],[f93,f20])).
% 0.21/0.40 fof(f120,plain,(
% 0.21/0.40 ~spl0_0|~spl0_6|spl0_16|spl0_15|~spl0_2|~spl0_10),
% 0.21/0.40 inference(split_clause,[status(thm)],[f119,f41,f70,f116,f111,f52,f86])).
% 0.21/0.40 fof(f121,plain,(
% 0.21/0.40 spl0_17 <=> ~greater(X0,sk2(sk3))|in_environment(sk3,X0)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f122,plain,(
% 0.21/0.40 ![X0]: (~greater(X0,sk2(sk3))|in_environment(sk3,X0)|~spl0_17)),
% 0.21/0.40 inference(component_clause,[status(thm)],[f121])).
% 0.21/0.40 fof(f124,plain,(
% 0.21/0.40 ![X0]: (~environment(sk3)|~stable(sk3)|~greater(X0,sk2(sk3))|in_environment(sk3,X0)|~spl0_2|~spl0_10)),
% 0.21/0.40 inference(resolution,[status(thm)],[f93,f25])).
% 0.21/0.40 fof(f125,plain,(
% 0.21/0.40 ~spl0_0|~spl0_6|spl0_17|~spl0_2|~spl0_10),
% 0.21/0.40 inference(split_clause,[status(thm)],[f124,f41,f70,f121,f52,f86])).
% 0.21/0.40 fof(f126,plain,(
% 0.21/0.40 $false|~spl0_2|~spl0_15),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f112,f94])).
% 0.21/0.40 fof(f127,plain,(
% 0.21/0.40 ~spl0_2|~spl0_15),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f126])).
% 0.21/0.40 fof(f128,plain,(
% 0.21/0.40 spl0_18 <=> in_environment(sk3,sk2(sk3))),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f130,plain,(
% 0.21/0.40 ~in_environment(sk3,sk2(sk3))|spl0_18),
% 0.21/0.40 inference(component_clause,[status(thm)],[f128])).
% 0.21/0.40 fof(f131,plain,(
% 0.21/0.40 ~environment(sk3)|~in_environment(sk3,sk2(sk3))|greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero)|~spl0_2),
% 0.21/0.40 inference(resolution,[status(thm)],[f95,f33])).
% 0.21/0.40 fof(f132,plain,(
% 0.21/0.40 ~spl0_0|~spl0_18|spl0_12|~spl0_2),
% 0.21/0.40 inference(split_clause,[status(thm)],[f131,f41,f128,f100,f52])).
% 0.21/0.40 fof(f138,plain,(
% 0.21/0.40 $false|~spl0_2|~spl0_10|spl0_18),
% 0.21/0.40 inference(forward_subsumption_resolution,[status(thm)],[f130,f93])).
% 0.21/0.40 fof(f139,plain,(
% 0.21/0.40 ~spl0_2|~spl0_10|spl0_18),
% 0.21/0.40 inference(contradiction_clause,[status(thm)],[f138])).
% 0.21/0.40 fof(f149,plain,(
% 0.21/0.40 spl0_21 <=> greater(sk1(sk2(sk3),sk3),sk2(sk3))),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f150,plain,(
% 0.21/0.40 greater(sk1(sk2(sk3),sk3),sk2(sk3))|~spl0_21),
% 0.21/0.40 inference(component_clause,[status(thm)],[f149])).
% 0.21/0.40 fof(f152,plain,(
% 0.21/0.40 spl0_22 <=> sk1(sk2(sk3),sk3)=sk2(sk3)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f153,plain,(
% 0.21/0.40 sk1(sk2(sk3),sk3)=sk2(sk3)|~spl0_22),
% 0.21/0.40 inference(component_clause,[status(thm)],[f152])).
% 0.21/0.40 fof(f155,plain,(
% 0.21/0.40 greater(sk1(sk2(sk3),sk3),sk2(sk3))|sk1(sk2(sk3),sk3)=sk2(sk3)|~spl0_16),
% 0.21/0.40 inference(resolution,[status(thm)],[f117,f29])).
% 0.21/0.40 fof(f156,plain,(
% 0.21/0.40 spl0_21|spl0_22|~spl0_16),
% 0.21/0.40 inference(split_clause,[status(thm)],[f155,f149,f152,f116])).
% 0.21/0.40 fof(f162,plain,(
% 0.21/0.40 in_environment(sk3,sk1(sk2(sk3),sk3))|~spl0_21|~spl0_17),
% 0.21/0.40 inference(resolution,[status(thm)],[f150,f122])).
% 0.21/0.40 fof(f163,plain,(
% 0.21/0.40 ![X0]: (~greater(sk2(sk3),X0)|greater(sk1(sk2(sk3),sk3),X0)|~spl0_21)),
% 0.21/0.40 inference(resolution,[status(thm)],[f150,f28])).
% 0.21/0.40 fof(f166,plain,(
% 0.21/0.40 spl0_24 <=> greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f169,plain,(
% 0.21/0.40 spl0_25 <=> subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))),
% 0.21/0.40 introduced(split_symbol_definition)).
% 0.21/0.40 fof(f170,plain,(
% 0.21/0.40 subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|~spl0_25),
% 0.21/0.40 inference(component_clause,[status(thm)],[f169])).
% 0.21/0.40 fof(f171,plain,(
% 0.21/0.40 ~subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))|spl0_25),
% 0.21/0.41 inference(component_clause,[status(thm)],[f169])).
% 0.21/0.41 fof(f172,plain,(
% 0.21/0.41 ~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))|~spl0_21|~spl0_17),
% 0.21/0.41 inference(resolution,[status(thm)],[f162,f23])).
% 0.21/0.41 fof(f173,plain,(
% 0.21/0.41 ~spl0_0|~spl0_14|~spl0_24|spl0_25|~spl0_21|~spl0_17),
% 0.21/0.41 inference(split_clause,[status(thm)],[f172,f41,f108,f166,f169,f149,f121])).
% 0.21/0.41 fof(f197,plain,(
% 0.21/0.41 greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))|~spl0_21|~spl0_2),
% 0.21/0.41 inference(resolution,[status(thm)],[f163,f53])).
% 0.21/0.41 fof(f201,plain,(
% 0.21/0.41 greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))|~spl0_21|~spl0_2),
% 0.21/0.41 inference(resolution,[status(thm)],[f197,f30])).
% 0.21/0.41 fof(f203,plain,(
% 0.21/0.41 spl0_31 <=> in_environment(sk3,sk1(sk2(sk3),sk3))),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f205,plain,(
% 0.21/0.41 ~in_environment(sk3,sk1(sk2(sk3),sk3))|spl0_31),
% 0.21/0.41 inference(component_clause,[status(thm)],[f203])).
% 0.21/0.41 fof(f206,plain,(
% 0.21/0.41 ~environment(sk3)|~in_environment(sk3,sk1(sk2(sk3),sk3))|greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)|~spl0_21|~spl0_2),
% 0.21/0.41 inference(resolution,[status(thm)],[f201,f33])).
% 0.21/0.41 fof(f207,plain,(
% 0.21/0.41 ~spl0_0|~spl0_31|spl0_24|~spl0_21|~spl0_2),
% 0.21/0.41 inference(split_clause,[status(thm)],[f206,f41,f203,f166,f149,f52])).
% 0.21/0.41 fof(f216,plain,(
% 0.21/0.41 $false|~spl0_21|~spl0_17|spl0_31),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f205,f162])).
% 0.21/0.41 fof(f217,plain,(
% 0.21/0.41 ~spl0_21|~spl0_17|spl0_31),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f216])).
% 0.21/0.41 fof(f218,plain,(
% 0.21/0.41 spl0_34 <=> greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f219,plain,(
% 0.21/0.41 greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))|~spl0_34),
% 0.21/0.41 inference(component_clause,[status(thm)],[f218])).
% 0.21/0.41 fof(f221,plain,(
% 0.21/0.41 ~environment(sk3)|~stable(sk3)|~greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))|greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))|~spl0_25),
% 0.21/0.41 inference(resolution,[status(thm)],[f170,f36])).
% 0.21/0.41 fof(f222,plain,(
% 0.21/0.41 ~spl0_0|~spl0_6|~spl0_16|spl0_34|~spl0_25),
% 0.21/0.41 inference(split_clause,[status(thm)],[f221,f41,f70,f116,f218,f169])).
% 0.21/0.41 fof(f225,plain,(
% 0.21/0.41 ~environment(sk3)|~stable(sk3)|~in_environment(sk3,sk2(sk3))|contracts_from(sk2(sk3),first_movers)|~spl0_34),
% 0.21/0.41 inference(resolution,[status(thm)],[f219,f22])).
% 0.21/0.41 fof(f226,plain,(
% 0.21/0.41 ~spl0_0|~spl0_6|~spl0_18|spl0_15|~spl0_34),
% 0.21/0.41 inference(split_clause,[status(thm)],[f225,f41,f70,f128,f111,f218])).
% 0.21/0.41 fof(f234,plain,(
% 0.21/0.41 ~subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))|~spl0_22|spl0_25),
% 0.21/0.41 inference(forward_demodulation,[status(thm)],[f153,f171])).
% 0.21/0.41 fof(f237,plain,(
% 0.21/0.41 greater(cardinality_at_time(first_movers,sk2(sk3)),zero)|~spl0_22|~spl0_14),
% 0.21/0.41 inference(backward_demodulation,[status(thm)],[f153,f109])).
% 0.21/0.41 fof(f238,plain,(
% 0.21/0.41 $false|spl0_11|~spl0_22|~spl0_14),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f237,f99])).
% 0.21/0.41 fof(f239,plain,(
% 0.21/0.41 spl0_11|~spl0_22|~spl0_14),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f238])).
% 0.21/0.41 fof(f241,plain,(
% 0.21/0.41 $false|~spl0_22|spl0_25|~spl0_13),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f104,f234])).
% 0.21/0.41 fof(f242,plain,(
% 0.21/0.41 ~spl0_22|spl0_25|~spl0_13),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f241])).
% 0.21/0.41 fof(f243,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(sat_refutation,[status(thm)],[f48,f50,f56,f61,f90,f92,f107,f115,f120,f125,f127,f132,f139,f156,f173,f207,f217,f222,f226,f239,f242])).
% 0.21/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.42 % Elapsed time: 0.061032 seconds
% 0.21/0.42 % CPU time: 0.371940 seconds
% 0.21/0.42 % Total memory used: 53.356 MB
% 0.21/0.42 % Net memory used: 52.998 MB
%------------------------------------------------------------------------------