TSTP Solution File: MGT037-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n001.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 Aug 31 17:51:32 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 26
% Syntax : Number of formulae : 115 ( 15 unt; 0 def)
% Number of atoms : 423 ( 136 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 553 ( 245 ~; 308 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 8 con; 0-2 aty)
% Number of variables : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f203,plain,
$false,
inference(subsumption_resolution,[],[f202,f29]) ).
fof(f29,plain,
greater_or_equal(sk4,sF0),
inference(definition_folding,[],[f26,f28]) ).
fof(f28,plain,
appear(efficient_producers,sk3) = sF0,
introduced(function_definition,[]) ).
fof(f26,axiom,
greater_or_equal(sk4,appear(efficient_producers,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_53) ).
fof(f202,plain,
~ greater_or_equal(sk4,sF0),
inference(subsumption_resolution,[],[f201,f37]) ).
fof(f37,plain,
zero = cardinality_at_time(efficient_producers,sk4),
inference(backward_demodulation,[],[f30,f35]) ).
fof(f35,plain,
zero = sF1,
inference(subsumption_resolution,[],[f34,f31]) ).
fof(f31,plain,
~ greater(sF1,zero),
inference(definition_folding,[],[f27,f30]) ).
fof(f27,axiom,
~ greater(cardinality_at_time(efficient_producers,sk4),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_54) ).
fof(f34,plain,
( zero = sF1
| greater(sF1,zero) ),
inference(subsumption_resolution,[],[f33,f25]) ).
fof(f25,axiom,
in_environment(sk3,sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_52) ).
fof(f33,plain,
( ~ in_environment(sk3,sk4)
| zero = sF1
| greater(sF1,zero) ),
inference(superposition,[],[f32,f30]) ).
fof(f32,plain,
! [X0] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ in_environment(sk3,X0)
| zero = cardinality_at_time(efficient_producers,X0) ),
inference(resolution,[],[f13,f24]) ).
fof(f24,axiom,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t6_51) ).
fof(f13,axiom,
! [X0,X1] :
( ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| cardinality_at_time(efficient_producers,X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_efficient_producers_exist_40) ).
fof(f30,plain,
cardinality_at_time(efficient_producers,sk4) = sF1,
introduced(function_definition,[]) ).
fof(f201,plain,
( zero != cardinality_at_time(efficient_producers,sk4)
| ~ greater_or_equal(sk4,sF0) ),
inference(trivial_inequality_removal,[],[f199]) ).
fof(f199,plain,
( zero != zero
| ~ greater_or_equal(sk4,sF0)
| zero != cardinality_at_time(efficient_producers,sk4) ),
inference(superposition,[],[f120,f198]) ).
fof(f198,plain,
zero = cardinality_at_time(first_movers,sk1(sk4,sk3)),
inference(subsumption_resolution,[],[f197,f29]) ).
fof(f197,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| ~ greater_or_equal(sk4,sF0) ),
inference(subsumption_resolution,[],[f196,f37]) ).
fof(f196,plain,
( zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| zero != cardinality_at_time(efficient_producers,sk4)
| ~ greater_or_equal(sk4,sF0) ),
inference(resolution,[],[f191,f46]) ).
fof(f46,plain,
! [X0] :
( in_environment(sk3,sk1(X0,sk3))
| zero != cardinality_at_time(efficient_producers,X0)
| ~ greater_or_equal(X0,sF0) ),
inference(forward_demodulation,[],[f45,f28]) ).
fof(f45,plain,
! [X0] :
( zero != cardinality_at_time(efficient_producers,X0)
| in_environment(sk3,sk1(X0,sk3))
| ~ greater_or_equal(X0,appear(efficient_producers,sk3)) ),
inference(resolution,[],[f2,f24]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,sk1(X1,X0))
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_29) ).
fof(f191,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| zero = cardinality_at_time(first_movers,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f186,f24]) ).
fof(f186,plain,
( ~ environment(sk3)
| zero = cardinality_at_time(first_movers,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(resolution,[],[f185,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations_37) ).
fof(f185,plain,
! [X0] :
( ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| zero = cardinality_at_time(X0,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f184,f29]) ).
fof(f184,plain,
! [X0] :
( ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk4,sF0)
| zero = cardinality_at_time(X0,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f183,f37]) ).
fof(f183,plain,
! [X0] :
( zero != cardinality_at_time(efficient_producers,sk4)
| zero = cardinality_at_time(X0,sk1(sk4,sk3))
| ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk4,sF0) ),
inference(resolution,[],[f176,f46]) ).
fof(f176,plain,
! [X0] :
( ~ in_environment(sk3,sk1(sk4,sk3))
| ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| zero = cardinality_at_time(X0,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f175,f24]) ).
fof(f175,plain,
! [X0] :
( ~ environment(sk3)
| zero = cardinality_at_time(X0,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ subpopulation(X0,sk3,sk1(sk4,sk3)) ),
inference(trivial_inequality_removal,[],[f171]) ).
fof(f171,plain,
! [X0] :
( zero = cardinality_at_time(X0,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ subpopulation(X0,sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| zero != zero ),
inference(superposition,[],[f9,f166]) ).
fof(f166,plain,
zero = number_of_organizations(sk3,sk1(sk4,sk3)),
inference(subsumption_resolution,[],[f165,f29]) ).
fof(f165,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk4,sF0) ),
inference(forward_demodulation,[],[f164,f28]) ).
fof(f164,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk4,appear(efficient_producers,sk3)) ),
inference(subsumption_resolution,[],[f163,f37]) ).
fof(f163,plain,
( ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| zero != cardinality_at_time(efficient_producers,sk4) ),
inference(subsumption_resolution,[],[f162,f24]) ).
fof(f162,plain,
( ~ environment(sk3)
| zero != cardinality_at_time(efficient_producers,sk4)
| ~ greater_or_equal(sk4,appear(efficient_producers,sk3))
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(resolution,[],[f161,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( greater(zero,growth_rate(efficient_producers,sk1(X1,X0)))
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| cardinality_at_time(efficient_producers,X1) != zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_previous_negative_growth_31) ).
fof(f161,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f160,f29]) ).
fof(f160,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| ~ greater_or_equal(sk4,sF0) ),
inference(subsumption_resolution,[],[f159,f37]) ).
fof(f159,plain,
( zero != cardinality_at_time(efficient_producers,sk4)
| ~ greater_or_equal(sk4,sF0)
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(resolution,[],[f156,f46]) ).
fof(f156,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f155,f123]) ).
fof(f123,plain,
( ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f122,f24]) ).
fof(f122,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f121,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ environment(sk3)
| ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(resolution,[],[f113,f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ decreases(resources(X0,X1))
| ~ environment(X0)
| ~ decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_46) ).
fof(f113,plain,
( decreases(resources(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(resolution,[],[f112,f14]) ).
fof(f14,axiom,
! [X0] :
( ~ constant(X0)
| ~ decreases(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_41) ).
fof(f112,plain,
( constant(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(resources(sk3,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f110,f24]) ).
fof(f110,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| decreases(resources(sk3,sk1(sk4,sk3)))
| constant(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(resolution,[],[f109,f20]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| ~ environment(X0)
| constant(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_47) ).
fof(f109,plain,
( constant(resources(sk3,sk1(sk4,sk3)))
| decreases(resources(sk3,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f108,f37]) ).
fof(f108,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| zero != cardinality_at_time(efficient_producers,sk4)
| constant(resources(sk3,sk1(sk4,sk3)))
| decreases(resources(sk3,sk1(sk4,sk3))) ),
inference(resolution,[],[f107,f29]) ).
fof(f107,plain,
! [X0] :
( ~ greater_or_equal(X0,sF0)
| constant(resources(sk3,sk1(X0,sk3)))
| decreases(resources(sk3,sk1(X0,sk3)))
| zero != cardinality_at_time(efficient_producers,X0)
| zero = number_of_organizations(sk3,sk1(X0,sk3)) ),
inference(subsumption_resolution,[],[f106,f58]) ).
fof(f58,plain,
! [X0] :
( greater_or_equal(sk1(X0,sk3),appear(an_organisation,sk3))
| zero != cardinality_at_time(efficient_producers,X0)
| zero = number_of_organizations(sk3,sk1(X0,sk3))
| ~ greater_or_equal(X0,sF0) ),
inference(subsumption_resolution,[],[f57,f46]) ).
fof(f57,plain,
! [X0] :
( zero = number_of_organizations(sk3,sk1(X0,sk3))
| zero != cardinality_at_time(efficient_producers,X0)
| greater_or_equal(sk1(X0,sk3),appear(an_organisation,sk3))
| ~ in_environment(sk3,sk1(X0,sk3))
| ~ greater_or_equal(X0,sF0) ),
inference(subsumption_resolution,[],[f56,f24]) ).
fof(f56,plain,
! [X0] :
( ~ in_environment(sk3,sk1(X0,sk3))
| greater_or_equal(sk1(X0,sk3),appear(an_organisation,sk3))
| zero != cardinality_at_time(efficient_producers,X0)
| ~ greater_or_equal(X0,sF0)
| ~ environment(sk3)
| zero = number_of_organizations(sk3,sk1(X0,sk3)) ),
inference(resolution,[],[f47,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(appear(an_organisation,X0),X1)
| zero = number_of_organizations(X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_start_of_organizations_32) ).
fof(f47,plain,
! [X0] :
( greater(appear(an_organisation,sk3),sk1(X0,sk3))
| zero != cardinality_at_time(efficient_producers,X0)
| greater_or_equal(sk1(X0,sk3),appear(an_organisation,sk3))
| ~ greater_or_equal(X0,sF0) ),
inference(resolution,[],[f46,f39]) ).
fof(f39,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater_or_equal(X0,appear(an_organisation,sk3))
| greater(appear(an_organisation,sk3),X0) ),
inference(resolution,[],[f15,f24]) ).
fof(f15,axiom,
! [X0,X1] :
( ~ environment(X0)
| greater_or_equal(X1,appear(an_organisation,X0))
| greater(appear(an_organisation,X0),X1)
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_inequality_42) ).
fof(f106,plain,
! [X0] :
( ~ greater_or_equal(X0,sF0)
| zero != cardinality_at_time(efficient_producers,X0)
| ~ greater_or_equal(sk1(X0,sk3),appear(an_organisation,sk3))
| constant(resources(sk3,sk1(X0,sk3)))
| zero = number_of_organizations(sk3,sk1(X0,sk3))
| decreases(resources(sk3,sk1(X0,sk3))) ),
inference(subsumption_resolution,[],[f105,f46]) ).
fof(f105,plain,
! [X0] :
( ~ greater_or_equal(X0,sF0)
| constant(resources(sk3,sk1(X0,sk3)))
| decreases(resources(sk3,sk1(X0,sk3)))
| ~ in_environment(sk3,sk1(X0,sk3))
| zero = number_of_organizations(sk3,sk1(X0,sk3))
| ~ greater_or_equal(sk1(X0,sk3),appear(an_organisation,sk3))
| zero != cardinality_at_time(efficient_producers,X0) ),
inference(resolution,[],[f104,f67]) ).
fof(f67,plain,
! [X0] :
( ~ greater(equilibrium(sk3),X0)
| decreases(resources(sk3,X0))
| ~ greater_or_equal(X0,appear(an_organisation,sk3))
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f55,f24]) ).
fof(f55,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| decreases(resources(X0,X1))
| ~ environment(X0)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ greater(equilibrium(X0),X1) ),
inference(resolution,[],[f16,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(an_organisation,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1_45) ).
fof(f16,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| decreases(resources(X0,X1))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_43) ).
fof(f104,plain,
! [X0] :
( greater(equilibrium(sk3),sk1(X0,sk3))
| zero = number_of_organizations(sk3,sk1(X0,sk3))
| ~ greater_or_equal(X0,sF0)
| zero != cardinality_at_time(efficient_producers,X0)
| constant(resources(sk3,sk1(X0,sk3))) ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ greater_or_equal(X0,sF0)
| ~ greater_or_equal(X0,sF0)
| constant(resources(sk3,sk1(X0,sk3)))
| zero = number_of_organizations(sk3,sk1(X0,sk3))
| zero != cardinality_at_time(efficient_producers,X0)
| greater(equilibrium(sk3),sk1(X0,sk3))
| zero != cardinality_at_time(efficient_producers,X0) ),
inference(resolution,[],[f72,f58]) ).
fof(f72,plain,
! [X0] :
( ~ greater_or_equal(sk1(X0,sk3),appear(an_organisation,sk3))
| ~ greater_or_equal(X0,sF0)
| constant(resources(sk3,sk1(X0,sk3)))
| zero != cardinality_at_time(efficient_producers,X0)
| greater(equilibrium(sk3),sk1(X0,sk3)) ),
inference(resolution,[],[f70,f46]) ).
fof(f70,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| constant(resources(sk3,X0))
| greater(equilibrium(sk3),X0)
| ~ greater_or_equal(X0,appear(an_organisation,sk3)) ),
inference(resolution,[],[f60,f24]) ).
fof(f60,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,appear(an_organisation,X0))
| greater(equilibrium(X0),X1)
| ~ in_environment(X0,X1)
| constant(resources(X0,X1)) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(an_organisation,X0))
| ~ in_environment(X0,X1)
| ~ in_environment(X0,X1)
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| constant(resources(X0,X1))
| ~ environment(X0) ),
inference(resolution,[],[f17,f18]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| constant(resources(X0,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(equilibrium(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_44) ).
fof(f155,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3))) ),
inference(subsumption_resolution,[],[f151,f24]) ).
fof(f151,plain,
( ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ greater(zero,growth_rate(efficient_producers,sk1(sk4,sk3)))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3))) ),
inference(superposition,[],[f8,f147]) ).
fof(f147,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f146,f37]) ).
fof(f146,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| zero != cardinality_at_time(efficient_producers,sk4)
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f145,f29]) ).
fof(f145,plain,
( ~ greater_or_equal(sk4,sF0)
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| zero != cardinality_at_time(efficient_producers,sk4)
| efficient_producers = sk2(sk1(sk4,sk3),sk3) ),
inference(resolution,[],[f143,f119]) ).
fof(f119,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| ~ greater_or_equal(X0,sF0)
| zero != cardinality_at_time(efficient_producers,X0) ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
! [X0] :
( zero != cardinality_at_time(efficient_producers,X0)
| greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| ~ greater_or_equal(X0,sF0)
| ~ greater_or_equal(X0,sF0) ),
inference(forward_demodulation,[],[f117,f28]) ).
fof(f117,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| zero != cardinality_at_time(efficient_producers,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| ~ greater_or_equal(X0,sF0) ),
inference(subsumption_resolution,[],[f116,f24]) ).
fof(f116,plain,
! [X0] :
( ~ environment(sk3)
| zero != cardinality_at_time(efficient_producers,X0)
| ~ greater_or_equal(X0,sF0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| greater(zero,growth_rate(first_movers,sk1(X0,sk3))) ),
inference(duplicate_literal_removal,[],[f115]) ).
fof(f115,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| zero != cardinality_at_time(efficient_producers,X0)
| zero != cardinality_at_time(efficient_producers,X0)
| ~ environment(sk3)
| ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| ~ greater_or_equal(X0,sF0) ),
inference(resolution,[],[f114,f46]) ).
fof(f114,plain,
! [X0,X1] :
( ~ in_environment(sk3,sk1(X0,X1))
| ~ environment(X1)
| ~ greater_or_equal(X0,appear(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,sk1(X0,X1)))
| zero != cardinality_at_time(efficient_producers,X0) ),
inference(resolution,[],[f88,f24]) ).
fof(f88,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| cardinality_at_time(efficient_producers,X1) != zero
| ~ greater_or_equal(X1,appear(efficient_producers,X2))
| ~ environment(X2)
| ~ in_environment(X0,sk1(X1,X2))
| greater(zero,growth_rate(first_movers,sk1(X1,X2))) ),
inference(resolution,[],[f82,f4]) ).
fof(f82,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(efficient_producers,X0))
| ~ environment(X1)
| greater(zero,growth_rate(first_movers,X0))
| ~ in_environment(X1,X0) ),
inference(resolution,[],[f21,f22]) ).
fof(f22,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_49) ).
fof(f21,axiom,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X3),resilience(X2))
| ~ greater(zero,growth_rate(X3,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(zero,growth_rate(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_48) ).
fof(f143,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| efficient_producers = sk2(sk1(sk4,sk3),sk3) ),
inference(subsumption_resolution,[],[f142,f29]) ).
fof(f142,plain,
( ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ greater_or_equal(sk4,sF0) ),
inference(subsumption_resolution,[],[f141,f37]) ).
fof(f141,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| zero != cardinality_at_time(efficient_producers,sk4)
| ~ greater_or_equal(sk4,sF0) ),
inference(resolution,[],[f137,f46]) ).
fof(f137,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| efficient_producers = sk2(sk1(sk4,sk3),sk3) ),
inference(subsumption_resolution,[],[f136,f123]) ).
fof(f136,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| efficient_producers = sk2(sk1(sk4,sk3),sk3)
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(subsumption_resolution,[],[f130,f24]) ).
fof(f130,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ greater(zero,growth_rate(first_movers,sk1(sk4,sk3)))
| efficient_producers = sk2(sk1(sk4,sk3),sk3)
| decreases(number_of_organizations(sk3,sk1(sk4,sk3)))
| ~ environment(sk3)
| ~ in_environment(sk3,sk1(sk4,sk3)) ),
inference(superposition,[],[f8,f128]) ).
fof(f128,plain,
( first_movers = sk2(sk1(sk4,sk3),sk3)
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| efficient_producers = sk2(sk1(sk4,sk3),sk3) ),
inference(subsumption_resolution,[],[f127,f29]) ).
fof(f127,plain,
( efficient_producers = sk2(sk1(sk4,sk3),sk3)
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| first_movers = sk2(sk1(sk4,sk3),sk3)
| ~ greater_or_equal(sk4,sF0) ),
inference(subsumption_resolution,[],[f126,f37]) ).
fof(f126,plain,
( zero != cardinality_at_time(efficient_producers,sk4)
| efficient_producers = sk2(sk1(sk4,sk3),sk3)
| first_movers = sk2(sk1(sk4,sk3),sk3)
| zero = number_of_organizations(sk3,sk1(sk4,sk3))
| ~ greater_or_equal(sk4,sF0) ),
inference(resolution,[],[f125,f46]) ).
fof(f125,plain,
( ~ in_environment(sk3,sk1(sk4,sk3))
| first_movers = sk2(sk1(sk4,sk3),sk3)
| efficient_producers = sk2(sk1(sk4,sk3),sk3)
| zero = number_of_organizations(sk3,sk1(sk4,sk3)) ),
inference(duplicate_literal_removal,[],[f124]) ).
fof(f124,plain,
( zero = number_of_organizations(sk3,sk1(sk4,sk3))
| efficient_producers = sk2(sk1(sk4,sk3),sk3)
| ~ in_environment(sk3,sk1(sk4,sk3))
| ~ in_environment(sk3,sk1(sk4,sk3))
| first_movers = sk2(sk1(sk4,sk3),sk3) ),
inference(resolution,[],[f123,f64]) ).
fof(f64,plain,
! [X0] :
( decreases(number_of_organizations(sk3,X0))
| first_movers = sk2(X0,sk3)
| efficient_producers = sk2(X0,sk3)
| ~ in_environment(sk3,X0) ),
inference(subsumption_resolution,[],[f63,f24]) ).
fof(f63,plain,
! [X0] :
( first_movers = sk2(X0,sk3)
| efficient_producers = sk2(X0,sk3)
| decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ environment(sk3) ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f62,plain,
! [X0] :
( decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0)
| ~ in_environment(sk3,X0)
| decreases(number_of_organizations(sk3,X0))
| efficient_producers = sk2(X0,sk3)
| ~ environment(sk3)
| first_movers = sk2(X0,sk3) ),
inference(resolution,[],[f61,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subpopulation(sk2(X1,X0),X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| decreases(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_33) ).
fof(f61,plain,
! [X0] :
( ~ subpopulation(sk2(X0,sk3),sk3,X0)
| first_movers = sk2(X0,sk3)
| efficient_producers = sk2(X0,sk3)
| decreases(number_of_organizations(sk3,X0))
| ~ in_environment(sk3,X0) ),
inference(resolution,[],[f49,f24]) ).
fof(f49,plain,
! [X2,X1] :
( ~ environment(X2)
| ~ subpopulation(sk2(X1,X2),sk3,X1)
| efficient_producers = sk2(X1,X2)
| first_movers = sk2(X1,X2)
| decreases(number_of_organizations(X2,X1))
| ~ in_environment(X2,X1) ),
inference(resolution,[],[f44,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( greater(cardinality_at_time(sk2(X1,X0),X1),zero)
| ~ environment(X0)
| decreases(number_of_organizations(X0,X1))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_34) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(X0,X1),zero)
| efficient_producers = X0
| first_movers = X0
| ~ subpopulation(X0,sk3,X1) ),
inference(resolution,[],[f23,f24]) ).
fof(f23,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ greater(cardinality_at_time(X1,X2),zero)
| ~ subpopulation(X1,X0,X2)
| first_movers = X1
| efficient_producers = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a9_50) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(sk2(X1,X0),X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| decreases(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_decreasing_35) ).
fof(f9,axiom,
! [X2,X0,X1] :
( zero != number_of_organizations(X0,X1)
| ~ subpopulation(X2,X0,X1)
| zero = cardinality_at_time(X2,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_no_members_36) ).
fof(f120,plain,
! [X0] :
( zero != cardinality_at_time(first_movers,sk1(X0,sk3))
| zero != cardinality_at_time(efficient_producers,X0)
| ~ greater_or_equal(X0,sF0) ),
inference(resolution,[],[f119,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(X0,X1))
| zero != cardinality_at_time(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_empty_not_decreasing_39) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT037-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n001.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:39:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (10445)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.51 % (10446)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.51 % (10437)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.51 % (10430)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (10438)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.51 % (10429)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (10438)First to succeed.
% 0.20/0.52 TRYING [1]
% 0.20/0.52 % (10430)Instruction limit reached!
% 0.20/0.52 % (10430)------------------------------
% 0.20/0.52 % (10430)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (10430)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (10430)Termination reason: Unknown
% 0.20/0.52 % (10430)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (10430)Memory used [KB]: 5500
% 0.20/0.52 % (10430)Time elapsed: 0.113 s
% 0.20/0.52 % (10430)Instructions burned: 7 (million)
% 0.20/0.52 % (10430)------------------------------
% 0.20/0.52 % (10430)------------------------------
% 0.20/0.52 % (10428)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52 % (10426)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (10438)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (10438)------------------------------
% 0.20/0.53 % (10438)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (10438)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (10438)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (10438)Memory used [KB]: 1151
% 0.20/0.53 % (10438)Time elapsed: 0.111 s
% 0.20/0.53 % (10438)Instructions burned: 12 (million)
% 0.20/0.53 % (10438)------------------------------
% 0.20/0.53 % (10438)------------------------------
% 0.20/0.53 % (10422)Success in time 0.177 s
%------------------------------------------------------------------------------