TSTP Solution File: MGT025-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : Wed May 31 12:21:13 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n004.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 : Tue May 30 11:03:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.36 fof(f3,axiom,(
% 0.14/0.36 (![A,B,C]: (( ~ environment(A)| ~ subpopulation(B,A,C)| B != first_movers| number_of_organizations(A,C) = sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f4,axiom,(
% 0.14/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulation(first_movers,A,B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f5,axiom,(
% 0.14/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulation(efficient_producers,A,B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f6,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(B)| increases(B)| decreases(B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f7,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(B)| increases(B)| increases(C) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f8,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(B)| decreases(C)| decreases(B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f9,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(B)| decreases(C)| increases(C) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f10,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(C)| increases(B)| decreases(B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f11,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(C)| increases(B)| increases(C) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f12,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(C)| decreases(C)| decreases(B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f13,axiom,(
% 0.14/0.36 (![A,B,C]: (( A != sum(B,C)| ~ constant(A)| constant(C)| decreases(C)| increases(C) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f14,axiom,(
% 0.14/0.36 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| ~ subpopulation(C,A,B)| ~ greater(cardinality_at_time(C,B),zero)| ~ constant(cardinality_at_time(C,B))| growth_rate(C,B) = zero ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f15,axiom,(
% 0.14/0.36 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| ~ subpopulation(C,A,B)| ~ greater(cardinality_at_time(C,B),zero)| ~ increases(cardinality_at_time(C,B))| greater(growth_rate(C,B),zero) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f16,axiom,(
% 0.14/0.36 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| ~ subpopulation(C,A,B)| ~ greater(cardinality_at_time(C,B),zero)| ~ decreases(cardinality_at_time(C,B))| greater(zero,growth_rate(C,B)) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f17,axiom,(
% 0.14/0.36 (![A,B]: (( ~ environment(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| greater(cardinality_at_time(first_movers,B),zero) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f18,axiom,(
% 0.14/0.36 (![A,B]: (( ~ environment(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| greater(cardinality_at_time(efficient_producers,B),zero) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f19,axiom,(
% 0.14/0.36 (![A,B]: (( ~ environment(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| in_environment(A,B) ) ))),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f21,negated_conjecture,(
% 0.14/0.36 environment(sk1) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f22,negated_conjecture,(
% 0.14/0.36 subpopulations(first_movers,efficient_producers,sk1,sk2) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f23,negated_conjecture,(
% 0.14/0.36 constant(number_of_organizations(sk1,sk2)) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f24,negated_conjecture,(
% 0.14/0.36 ( growth_rate(first_movers,sk2) != zero| growth_rate(efficient_producers,sk2) != zero ) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f25,negated_conjecture,(
% 0.14/0.36 ( ~ greater(growth_rate(first_movers,sk2),zero)| ~ greater(zero,growth_rate(efficient_producers,sk2)) ) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f26,negated_conjecture,(
% 0.14/0.36 ( ~ greater(growth_rate(efficient_producers,sk2),zero)| ~ greater(zero,growth_rate(first_movers,sk2)) ) ),
% 0.14/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.36 fof(f31,plain,(
% 0.14/0.36 ![A,C]: ((![B]: ((~environment(A)|~subpopulation(B,A,C))|~B=first_movers))|number_of_organizations(A,C)=sum(cardinality_at_time(first_movers,C),cardinality_at_time(efficient_producers,C)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f3])).
% 0.14/0.36 fof(f32,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~environment(X0)|~subpopulation(X1,X0,X2)|~X1=first_movers|number_of_organizations(X0,X2)=sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f31])).
% 0.14/0.36 fof(f33,plain,(
% 0.14/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(first_movers,X0,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f4])).
% 0.14/0.36 fof(f34,plain,(
% 0.14/0.36 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulation(efficient_producers,X0,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f5])).
% 0.14/0.36 fof(f35,plain,(
% 0.14/0.36 ![B]: ((((![A]: ((![C]: ~A=sum(B,C))|~constant(A)))|constant(B))|increases(B))|decreases(B))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f6])).
% 0.14/0.36 fof(f36,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X1)|increases(X1)|decreases(X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.36 fof(f37,plain,(
% 0.14/0.36 ![C]: ((![B]: (((![A]: (~A=sum(B,C)|~constant(A)))|constant(B))|increases(B)))|increases(C))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f7])).
% 0.14/0.36 fof(f38,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X1)|increases(X1)|increases(X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f37])).
% 0.14/0.36 fof(f39,plain,(
% 0.14/0.36 ![B]: ((![C]: (((![A]: (~A=sum(B,C)|~constant(A)))|constant(B))|decreases(C)))|decreases(B))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f8])).
% 0.14/0.36 fof(f40,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X1)|decreases(X2)|decreases(X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f39])).
% 0.14/0.36 fof(f41,plain,(
% 0.14/0.36 ![C]: (((![B]: ((![A]: (~A=sum(B,C)|~constant(A)))|constant(B)))|decreases(C))|increases(C))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f9])).
% 0.14/0.36 fof(f42,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X1)|decreases(X2)|increases(X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f41])).
% 0.14/0.36 fof(f43,plain,(
% 0.14/0.36 ![B]: (((![C]: ((![A]: (~A=sum(B,C)|~constant(A)))|constant(C)))|increases(B))|decreases(B))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f10])).
% 0.14/0.36 fof(f44,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X2)|increases(X1)|decreases(X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f43])).
% 0.14/0.36 fof(f45,plain,(
% 0.14/0.36 ![C]: ((![B]: (((![A]: (~A=sum(B,C)|~constant(A)))|constant(C))|increases(B)))|increases(C))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f11])).
% 0.14/0.36 fof(f46,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X2)|increases(X1)|increases(X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f45])).
% 0.14/0.36 fof(f47,plain,(
% 0.14/0.36 ![B]: ((![C]: (((![A]: (~A=sum(B,C)|~constant(A)))|constant(C))|decreases(C)))|decreases(B))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f12])).
% 0.14/0.36 fof(f48,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X2)|decreases(X2)|decreases(X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f47])).
% 0.14/0.36 fof(f49,plain,(
% 0.14/0.36 ![C]: ((((![A]: ((![B]: ~A=sum(B,C))|~constant(A)))|constant(C))|decreases(C))|increases(C))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f13])).
% 0.14/0.36 fof(f50,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~X0=sum(X1,X2)|~constant(X0)|constant(X2)|decreases(X2)|increases(X2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f49])).
% 0.14/0.36 fof(f51,plain,(
% 0.14/0.36 ![B,C]: ((((![A]: ((~environment(A)|~in_environment(A,B))|~subpopulation(C,A,B)))|~greater(cardinality_at_time(C,B),zero))|~constant(cardinality_at_time(C,B)))|growth_rate(C,B)=zero)),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f14])).
% 0.14/0.36 fof(f52,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~subpopulation(X2,X0,X1)|~greater(cardinality_at_time(X2,X1),zero)|~constant(cardinality_at_time(X2,X1))|growth_rate(X2,X1)=zero)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f51])).
% 0.14/0.36 fof(f53,plain,(
% 0.14/0.36 ![B,C]: ((((![A]: ((~environment(A)|~in_environment(A,B))|~subpopulation(C,A,B)))|~greater(cardinality_at_time(C,B),zero))|~increases(cardinality_at_time(C,B)))|greater(growth_rate(C,B),zero))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f15])).
% 0.14/0.36 fof(f54,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~subpopulation(X2,X0,X1)|~greater(cardinality_at_time(X2,X1),zero)|~increases(cardinality_at_time(X2,X1))|greater(growth_rate(X2,X1),zero))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f53])).
% 0.14/0.36 fof(f55,plain,(
% 0.14/0.36 ![B,C]: ((((![A]: ((~environment(A)|~in_environment(A,B))|~subpopulation(C,A,B)))|~greater(cardinality_at_time(C,B),zero))|~decreases(cardinality_at_time(C,B)))|greater(zero,growth_rate(C,B)))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f16])).
% 0.14/0.36 fof(f56,plain,(
% 0.14/0.36 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~subpopulation(X2,X0,X1)|~greater(cardinality_at_time(X2,X1),zero)|~decreases(cardinality_at_time(X2,X1))|greater(zero,growth_rate(X2,X1)))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f55])).
% 0.14/0.36 fof(f57,plain,(
% 0.14/0.36 ![B]: ((![A]: (~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)))|greater(cardinality_at_time(first_movers,B),zero))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f17])).
% 0.14/0.36 fof(f58,plain,(
% 0.14/0.36 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|greater(cardinality_at_time(first_movers,X1),zero))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f57])).
% 0.14/0.36 fof(f59,plain,(
% 0.14/0.36 ![B]: ((![A]: (~environment(A)|~subpopulations(first_movers,efficient_producers,A,B)))|greater(cardinality_at_time(efficient_producers,B),zero))),
% 0.14/0.36 inference(miniscoping,[status(esa)],[f18])).
% 0.14/0.36 fof(f60,plain,(
% 0.14/0.36 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|greater(cardinality_at_time(efficient_producers,X1),zero))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f59])).
% 0.14/0.36 fof(f61,plain,(
% 0.14/0.36 ![X0,X1]: (~environment(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|in_environment(X0,X1))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f19])).
% 0.14/0.36 fof(f64,plain,(
% 0.14/0.36 environment(sk1)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f21])).
% 0.14/0.36 fof(f65,plain,(
% 0.14/0.36 subpopulations(first_movers,efficient_producers,sk1,sk2)),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f22])).
% 0.14/0.36 fof(f66,plain,(
% 0.14/0.36 constant(number_of_organizations(sk1,sk2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f23])).
% 0.14/0.36 fof(f67,plain,(
% 0.14/0.36 ~growth_rate(first_movers,sk2)=zero|~growth_rate(efficient_producers,sk2)=zero),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f24])).
% 0.14/0.36 fof(f68,plain,(
% 0.14/0.36 ~greater(growth_rate(first_movers,sk2),zero)|~greater(zero,growth_rate(efficient_producers,sk2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f25])).
% 0.14/0.36 fof(f69,plain,(
% 0.14/0.36 ~greater(growth_rate(efficient_producers,sk2),zero)|~greater(zero,growth_rate(first_movers,sk2))),
% 0.14/0.36 inference(cnf_transformation,[status(esa)],[f26])).
% 0.14/0.36 fof(f70,plain,(
% 0.14/0.36 spl0_0 <=> growth_rate(first_movers,sk2)=zero),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f73,plain,(
% 0.14/0.36 spl0_1 <=> growth_rate(efficient_producers,sk2)=zero),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f76,plain,(
% 0.14/0.36 ~spl0_0|~spl0_1),
% 0.14/0.36 inference(split_clause,[status(thm)],[f67,f70,f73])).
% 0.14/0.36 fof(f77,plain,(
% 0.14/0.36 spl0_2 <=> greater(growth_rate(first_movers,sk2),zero)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f80,plain,(
% 0.14/0.36 spl0_3 <=> greater(zero,growth_rate(efficient_producers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f83,plain,(
% 0.14/0.36 ~spl0_2|~spl0_3),
% 0.14/0.36 inference(split_clause,[status(thm)],[f68,f77,f80])).
% 0.14/0.36 fof(f84,plain,(
% 0.14/0.36 spl0_4 <=> greater(growth_rate(efficient_producers,sk2),zero)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f87,plain,(
% 0.14/0.36 spl0_5 <=> greater(zero,growth_rate(first_movers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f90,plain,(
% 0.14/0.36 ~spl0_4|~spl0_5),
% 0.14/0.36 inference(split_clause,[status(thm)],[f69,f84,f87])).
% 0.14/0.36 fof(f92,plain,(
% 0.14/0.36 ![X0,X1]: (~environment(X0)|~subpopulation(first_movers,X0,X1)|number_of_organizations(X0,X1)=sum(cardinality_at_time(first_movers,X1),cardinality_at_time(efficient_producers,X1)))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f32])).
% 0.14/0.36 fof(f93,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X0)|increases(X0)|decreases(X0))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f36])).
% 0.14/0.36 fof(f94,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X0)|increases(X0)|increases(X1))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f38])).
% 0.14/0.36 fof(f95,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X0)|decreases(X1)|decreases(X0))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f40])).
% 0.14/0.36 fof(f96,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X0)|decreases(X1)|increases(X1))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f42])).
% 0.14/0.36 fof(f97,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X1)|increases(X0)|decreases(X0))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f44])).
% 0.14/0.36 fof(f98,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X1)|increases(X0)|increases(X1))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f46])).
% 0.14/0.36 fof(f99,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X1)|decreases(X1)|decreases(X0))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f48])).
% 0.14/0.36 fof(f100,plain,(
% 0.14/0.36 ![X0,X1]: (~constant(sum(X0,X1))|constant(X1)|decreases(X1)|increases(X1))),
% 0.14/0.36 inference(destructive_equality_resolution,[status(esa)],[f50])).
% 0.14/0.36 fof(f101,plain,(
% 0.14/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,sk1,X0)|in_environment(sk1,X0))),
% 0.14/0.36 inference(resolution,[status(thm)],[f61,f64])).
% 0.14/0.36 fof(f102,plain,(
% 0.14/0.36 in_environment(sk1,sk2)),
% 0.14/0.36 inference(resolution,[status(thm)],[f101,f65])).
% 0.14/0.36 fof(f103,plain,(
% 0.14/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,sk1,X0)|greater(cardinality_at_time(first_movers,X0),zero))),
% 0.14/0.36 inference(resolution,[status(thm)],[f58,f64])).
% 0.14/0.36 fof(f104,plain,(
% 0.14/0.36 greater(cardinality_at_time(first_movers,sk2),zero)),
% 0.14/0.36 inference(resolution,[status(thm)],[f103,f65])).
% 0.14/0.36 fof(f105,plain,(
% 0.14/0.36 ![X0]: (~subpopulations(first_movers,efficient_producers,sk1,X0)|greater(cardinality_at_time(efficient_producers,X0),zero))),
% 0.14/0.36 inference(resolution,[status(thm)],[f60,f64])).
% 0.14/0.36 fof(f106,plain,(
% 0.14/0.36 greater(cardinality_at_time(efficient_producers,sk2),zero)),
% 0.14/0.36 inference(resolution,[status(thm)],[f105,f65])).
% 0.14/0.36 fof(f107,plain,(
% 0.14/0.36 ![X0]: (~in_environment(sk1,X0)|subpopulation(first_movers,sk1,X0))),
% 0.14/0.36 inference(resolution,[status(thm)],[f33,f64])).
% 0.14/0.36 fof(f108,plain,(
% 0.14/0.36 subpopulation(first_movers,sk1,sk2)),
% 0.14/0.36 inference(resolution,[status(thm)],[f107,f102])).
% 0.14/0.36 fof(f109,plain,(
% 0.14/0.36 spl0_6 <=> environment(sk1)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f111,plain,(
% 0.14/0.36 ~environment(sk1)|spl0_6),
% 0.14/0.36 inference(component_clause,[status(thm)],[f109])).
% 0.14/0.36 fof(f112,plain,(
% 0.14/0.36 spl0_7 <=> number_of_organizations(sk1,sk2)=sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f113,plain,(
% 0.14/0.36 number_of_organizations(sk1,sk2)=sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))|~spl0_7),
% 0.14/0.36 inference(component_clause,[status(thm)],[f112])).
% 0.14/0.36 fof(f115,plain,(
% 0.14/0.36 ~environment(sk1)|number_of_organizations(sk1,sk2)=sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))),
% 0.14/0.36 inference(resolution,[status(thm)],[f108,f92])).
% 0.14/0.36 fof(f116,plain,(
% 0.14/0.36 ~spl0_6|spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f115,f109,f112])).
% 0.14/0.36 fof(f117,plain,(
% 0.14/0.36 $false|spl0_6),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f111,f64])).
% 0.14/0.36 fof(f118,plain,(
% 0.14/0.36 spl0_6),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f117])).
% 0.14/0.36 fof(f119,plain,(
% 0.14/0.36 ![X0]: (~in_environment(sk1,X0)|subpopulation(efficient_producers,sk1,X0))),
% 0.14/0.36 inference(resolution,[status(thm)],[f34,f64])).
% 0.14/0.36 fof(f120,plain,(
% 0.14/0.36 subpopulation(efficient_producers,sk1,sk2)),
% 0.14/0.36 inference(resolution,[status(thm)],[f119,f102])).
% 0.14/0.36 fof(f124,plain,(
% 0.14/0.36 spl0_8 <=> greater(cardinality_at_time(efficient_producers,sk2),zero)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f126,plain,(
% 0.14/0.36 ~greater(cardinality_at_time(efficient_producers,sk2),zero)|spl0_8),
% 0.14/0.36 inference(component_clause,[status(thm)],[f124])).
% 0.14/0.36 fof(f135,plain,(
% 0.14/0.36 spl0_11 <=> greater(cardinality_at_time(first_movers,sk2),zero)),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f137,plain,(
% 0.14/0.36 ~greater(cardinality_at_time(first_movers,sk2),zero)|spl0_11),
% 0.14/0.36 inference(component_clause,[status(thm)],[f135])).
% 0.14/0.36 fof(f143,plain,(
% 0.14/0.36 $false|spl0_11),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f137,f104])).
% 0.14/0.36 fof(f144,plain,(
% 0.14/0.36 spl0_11),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f143])).
% 0.14/0.36 fof(f173,plain,(
% 0.14/0.36 spl0_14 <=> constant(number_of_organizations(sk1,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f175,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|spl0_14),
% 0.14/0.36 inference(component_clause,[status(thm)],[f173])).
% 0.14/0.36 fof(f176,plain,(
% 0.14/0.36 spl0_15 <=> constant(cardinality_at_time(efficient_producers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f177,plain,(
% 0.14/0.36 constant(cardinality_at_time(efficient_producers,sk2))|~spl0_15),
% 0.14/0.36 inference(component_clause,[status(thm)],[f176])).
% 0.14/0.36 fof(f179,plain,(
% 0.14/0.36 spl0_16 <=> decreases(cardinality_at_time(efficient_producers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f180,plain,(
% 0.14/0.36 decreases(cardinality_at_time(efficient_producers,sk2))|~spl0_16),
% 0.14/0.36 inference(component_clause,[status(thm)],[f179])).
% 0.14/0.36 fof(f182,plain,(
% 0.14/0.36 spl0_17 <=> increases(cardinality_at_time(efficient_producers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f183,plain,(
% 0.14/0.36 increases(cardinality_at_time(efficient_producers,sk2))|~spl0_17),
% 0.14/0.36 inference(component_clause,[status(thm)],[f182])).
% 0.14/0.36 fof(f185,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(efficient_producers,sk2))|decreases(cardinality_at_time(efficient_producers,sk2))|increases(cardinality_at_time(efficient_producers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f100])).
% 0.14/0.36 fof(f186,plain,(
% 0.14/0.36 ~spl0_14|spl0_15|spl0_16|spl0_17|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f185,f173,f176,f179,f182,f112])).
% 0.14/0.36 fof(f187,plain,(
% 0.14/0.36 spl0_18 <=> decreases(cardinality_at_time(first_movers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f188,plain,(
% 0.14/0.36 decreases(cardinality_at_time(first_movers,sk2))|~spl0_18),
% 0.14/0.36 inference(component_clause,[status(thm)],[f187])).
% 0.14/0.36 fof(f190,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(efficient_producers,sk2))|decreases(cardinality_at_time(efficient_producers,sk2))|decreases(cardinality_at_time(first_movers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f99])).
% 0.14/0.36 fof(f191,plain,(
% 0.14/0.36 ~spl0_14|spl0_15|spl0_16|spl0_18|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f190,f173,f176,f179,f187,f112])).
% 0.14/0.36 fof(f192,plain,(
% 0.14/0.36 spl0_19 <=> increases(cardinality_at_time(first_movers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f193,plain,(
% 0.14/0.36 increases(cardinality_at_time(first_movers,sk2))|~spl0_19),
% 0.14/0.36 inference(component_clause,[status(thm)],[f192])).
% 0.14/0.36 fof(f195,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(efficient_producers,sk2))|increases(cardinality_at_time(first_movers,sk2))|increases(cardinality_at_time(efficient_producers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f98])).
% 0.14/0.36 fof(f196,plain,(
% 0.14/0.36 ~spl0_14|spl0_15|spl0_19|spl0_17|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f195,f173,f176,f192,f182,f112])).
% 0.14/0.36 fof(f197,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(efficient_producers,sk2))|increases(cardinality_at_time(first_movers,sk2))|decreases(cardinality_at_time(first_movers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f97])).
% 0.14/0.36 fof(f198,plain,(
% 0.14/0.36 ~spl0_14|spl0_15|spl0_19|spl0_18|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f197,f173,f176,f192,f187,f112])).
% 0.14/0.36 fof(f199,plain,(
% 0.14/0.36 spl0_20 <=> constant(cardinality_at_time(first_movers,sk2))),
% 0.14/0.36 introduced(split_symbol_definition)).
% 0.14/0.36 fof(f200,plain,(
% 0.14/0.36 constant(cardinality_at_time(first_movers,sk2))|~spl0_20),
% 0.14/0.36 inference(component_clause,[status(thm)],[f199])).
% 0.14/0.36 fof(f202,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(first_movers,sk2))|decreases(cardinality_at_time(efficient_producers,sk2))|increases(cardinality_at_time(efficient_producers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f96])).
% 0.14/0.36 fof(f203,plain,(
% 0.14/0.36 ~spl0_14|spl0_20|spl0_16|spl0_17|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f202,f173,f199,f179,f182,f112])).
% 0.14/0.36 fof(f204,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(first_movers,sk2))|decreases(cardinality_at_time(efficient_producers,sk2))|decreases(cardinality_at_time(first_movers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f95])).
% 0.14/0.36 fof(f205,plain,(
% 0.14/0.36 ~spl0_14|spl0_20|spl0_16|spl0_18|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f204,f173,f199,f179,f187,f112])).
% 0.14/0.36 fof(f206,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(first_movers,sk2))|increases(cardinality_at_time(first_movers,sk2))|increases(cardinality_at_time(efficient_producers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f94])).
% 0.14/0.36 fof(f207,plain,(
% 0.14/0.36 ~spl0_14|spl0_20|spl0_19|spl0_17|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f206,f173,f199,f192,f182,f112])).
% 0.14/0.36 fof(f208,plain,(
% 0.14/0.36 ~constant(number_of_organizations(sk1,sk2))|constant(cardinality_at_time(first_movers,sk2))|increases(cardinality_at_time(first_movers,sk2))|decreases(cardinality_at_time(first_movers,sk2))|~spl0_7),
% 0.14/0.36 inference(paramodulation,[status(thm)],[f113,f93])).
% 0.14/0.36 fof(f209,plain,(
% 0.14/0.36 ~spl0_14|spl0_20|spl0_19|spl0_18|~spl0_7),
% 0.14/0.36 inference(split_clause,[status(thm)],[f208,f173,f199,f192,f187,f112])).
% 0.14/0.36 fof(f210,plain,(
% 0.14/0.36 $false|spl0_14),
% 0.14/0.36 inference(forward_subsumption_resolution,[status(thm)],[f175,f66])).
% 0.14/0.36 fof(f211,plain,(
% 0.14/0.36 spl0_14),
% 0.14/0.36 inference(contradiction_clause,[status(thm)],[f210])).
% 0.14/0.36 fof(f212,plain,(
% 0.14/0.37 spl0_21 <=> ~environment(X0)|~in_environment(X0,sk2)|~subpopulation(first_movers,X0,sk2)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f213,plain,(
% 0.14/0.37 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(first_movers,X0,sk2)|~spl0_21)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.37 fof(f215,plain,(
% 0.14/0.37 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(first_movers,X0,sk2)|~greater(cardinality_at_time(first_movers,sk2),zero)|greater(zero,growth_rate(first_movers,sk2))|~spl0_18)),
% 0.14/0.37 inference(resolution,[status(thm)],[f188,f56])).
% 0.14/0.37 fof(f216,plain,(
% 0.14/0.37 spl0_21|~spl0_11|spl0_5|~spl0_18),
% 0.14/0.37 inference(split_clause,[status(thm)],[f215,f212,f135,f87,f187])).
% 0.14/0.37 fof(f217,plain,(
% 0.14/0.37 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~spl0_21)),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f213,f33])).
% 0.14/0.37 fof(f218,plain,(
% 0.14/0.37 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(first_movers,X0,sk2)|~greater(cardinality_at_time(first_movers,sk2),zero)|greater(growth_rate(first_movers,sk2),zero)|~spl0_19)),
% 0.14/0.37 inference(resolution,[status(thm)],[f193,f54])).
% 0.14/0.37 fof(f219,plain,(
% 0.14/0.37 spl0_21|~spl0_11|spl0_2|~spl0_19),
% 0.14/0.37 inference(split_clause,[status(thm)],[f218,f212,f135,f77,f192])).
% 0.14/0.37 fof(f220,plain,(
% 0.14/0.37 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(first_movers,X0,sk2)|~greater(cardinality_at_time(first_movers,sk2),zero)|growth_rate(first_movers,sk2)=zero|~spl0_20)),
% 0.14/0.37 inference(resolution,[status(thm)],[f200,f52])).
% 0.14/0.37 fof(f221,plain,(
% 0.14/0.37 spl0_21|~spl0_11|spl0_0|~spl0_20),
% 0.14/0.37 inference(split_clause,[status(thm)],[f220,f212,f135,f70,f199])).
% 0.14/0.37 fof(f222,plain,(
% 0.14/0.37 spl0_22 <=> ~environment(X0)|~in_environment(X0,sk2)|~subpopulation(efficient_producers,X0,sk2)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f223,plain,(
% 0.14/0.37 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(efficient_producers,X0,sk2)|~spl0_22)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f222])).
% 0.14/0.37 fof(f225,plain,(
% 0.14/0.37 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(efficient_producers,X0,sk2)|~greater(cardinality_at_time(efficient_producers,sk2),zero)|greater(growth_rate(efficient_producers,sk2),zero)|~spl0_17)),
% 0.14/0.38 inference(resolution,[status(thm)],[f183,f54])).
% 0.14/0.38 fof(f226,plain,(
% 0.14/0.38 spl0_22|~spl0_8|spl0_4|~spl0_17),
% 0.14/0.38 inference(split_clause,[status(thm)],[f225,f222,f124,f84,f182])).
% 0.14/0.38 fof(f227,plain,(
% 0.14/0.38 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(efficient_producers,X0,sk2)|~greater(cardinality_at_time(efficient_producers,sk2),zero)|greater(zero,growth_rate(efficient_producers,sk2))|~spl0_16)),
% 0.14/0.38 inference(resolution,[status(thm)],[f180,f56])).
% 0.14/0.38 fof(f228,plain,(
% 0.14/0.38 spl0_22|~spl0_8|spl0_3|~spl0_16),
% 0.14/0.38 inference(split_clause,[status(thm)],[f227,f222,f124,f80,f179])).
% 0.14/0.38 fof(f229,plain,(
% 0.14/0.38 ![X0]: (~environment(X0)|~in_environment(X0,sk2)|~subpopulation(efficient_producers,X0,sk2)|~greater(cardinality_at_time(efficient_producers,sk2),zero)|growth_rate(efficient_producers,sk2)=zero|~spl0_15)),
% 0.14/0.38 inference(resolution,[status(thm)],[f177,f52])).
% 0.14/0.38 fof(f230,plain,(
% 0.14/0.38 spl0_22|~spl0_8|spl0_1|~spl0_15),
% 0.14/0.38 inference(split_clause,[status(thm)],[f229,f222,f124,f73,f176])).
% 0.14/0.38 fof(f231,plain,(
% 0.14/0.38 ~environment(sk1)|~spl0_21),
% 0.14/0.38 inference(resolution,[status(thm)],[f217,f102])).
% 0.14/0.38 fof(f232,plain,(
% 0.14/0.38 ~spl0_6|~spl0_21),
% 0.14/0.38 inference(split_clause,[status(thm)],[f231,f109,f212])).
% 0.14/0.38 fof(f234,plain,(
% 0.14/0.38 $false|spl0_8),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f106,f126])).
% 0.14/0.38 fof(f235,plain,(
% 0.14/0.38 spl0_8),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f234])).
% 0.14/0.38 fof(f236,plain,(
% 0.14/0.38 spl0_23 <=> subpopulation(efficient_producers,sk1,sk2)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f238,plain,(
% 0.14/0.38 ~subpopulation(efficient_producers,sk1,sk2)|spl0_23),
% 0.14/0.38 inference(component_clause,[status(thm)],[f236])).
% 0.14/0.38 fof(f239,plain,(
% 0.14/0.38 ~environment(sk1)|~subpopulation(efficient_producers,sk1,sk2)|~spl0_22),
% 0.14/0.38 inference(resolution,[status(thm)],[f223,f102])).
% 0.14/0.38 fof(f240,plain,(
% 0.14/0.38 ~spl0_6|~spl0_23|~spl0_22),
% 0.14/0.38 inference(split_clause,[status(thm)],[f239,f109,f236,f222])).
% 0.14/0.38 fof(f246,plain,(
% 0.14/0.38 $false|spl0_23),
% 0.14/0.38 inference(forward_subsumption_resolution,[status(thm)],[f238,f120])).
% 0.14/0.38 fof(f247,plain,(
% 0.14/0.38 spl0_23),
% 0.14/0.38 inference(contradiction_clause,[status(thm)],[f246])).
% 0.14/0.38 fof(f248,plain,(
% 0.14/0.38 $false),
% 0.14/0.38 inference(sat_refutation,[status(thm)],[f76,f83,f90,f116,f118,f144,f186,f191,f196,f198,f203,f205,f207,f209,f211,f216,f219,f221,f226,f228,f230,f232,f235,f240,f247])).
% 0.14/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.38 % Elapsed time: 0.022671 seconds
% 0.14/0.38 % CPU time: 0.043229 seconds
% 0.14/0.38 % Memory used: 11.773 MB
%------------------------------------------------------------------------------