TSTP Solution File: MGT034-2 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n010.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 May 21 00:42:15 EDT 2024
% Result : Unsatisfiable 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 38
% Syntax : Number of formulae : 124 ( 11 unt; 0 def)
% Number of atoms : 342 ( 7 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 442 ( 224 ~; 203 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 16 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 76 ( 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f374,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f108,f118,f121,f155,f175,f190,f219,f275,f301,f321,f328,f339,f360,f361,f368]) ).
fof(f368,plain,
~ spl0_28,
inference(avatar_contradiction_clause,[],[f367]) ).
fof(f367,plain,
( $false
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f366,f26]) ).
fof(f26,axiom,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_58) ).
fof(f366,plain,
( ~ environment(sk1)
| ~ spl0_28 ),
inference(subsumption_resolution,[],[f363,f27]) ).
fof(f27,axiom,
in_environment(sk1,critical_point(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_59) ).
fof(f363,plain,
( ~ in_environment(sk1,critical_point(sk1))
| ~ environment(sk1)
| ~ spl0_28 ),
inference(resolution,[],[f362,f3]) ).
fof(f3,axiom,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,critical_point(X0))
| ~ in_environment(X0,critical_point(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_point_means_FM_and_EP_35) ).
fof(f362,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
| ~ spl0_28 ),
inference(resolution,[],[f256,f26]) ).
fof(f256,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sk1)) )
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl0_28
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sk1))
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f361,plain,
( spl0_28
| spl0_29
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f354,f149,f258,f255]) ).
fof(f258,plain,
( spl0_29
<=> greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f149,plain,
( spl0_15
<=> ! [X0,X1] :
( ~ greater(X0,sk2)
| ~ environment(X1)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater_or_equal(sk2,appear(efficient_producers,X1))
| ~ in_environment(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f354,plain,
( ! [X0] :
( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ subpopulations(first_movers,efficient_producers,X0,critical_point(sk1))
| ~ environment(X0) )
| ~ spl0_15 ),
inference(resolution,[],[f353,f21]) ).
fof(f21,axiom,
! [X0,X1] :
( greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| greater(zero,difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_relationship_of_growth_rates_53) ).
fof(f353,plain,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f352,f27]) ).
fof(f352,plain,
( ~ greater_or_equal(difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))),zero)
| ~ in_environment(sk1,critical_point(sk1))
| ~ spl0_15 ),
inference(resolution,[],[f350,f29]) ).
fof(f29,axiom,
greater(critical_point(sk1),sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_61) ).
fof(f350,plain,
( ! [X0] :
( ~ greater(X0,sk2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(sk1,X0) )
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f349,f28]) ).
fof(f28,axiom,
greater_or_equal(sk2,appear(efficient_producers,sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_60) ).
fof(f349,plain,
( ! [X0] :
( ~ greater(X0,sk2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
| ~ in_environment(sk1,X0) )
| ~ spl0_15 ),
inference(resolution,[],[f150,f26]) ).
fof(f150,plain,
( ! [X0,X1] :
( ~ environment(X1)
| ~ greater(X0,sk2)
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ greater_or_equal(sk2,appear(efficient_producers,X1))
| ~ in_environment(X1,X0) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f360,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f359]) ).
fof(f359,plain,
( $false
| ~ spl0_29 ),
inference(subsumption_resolution,[],[f358,f26]) ).
fof(f358,plain,
( ~ environment(sk1)
| ~ spl0_29 ),
inference(resolution,[],[f260,f35]) ).
fof(f35,plain,
! [X0] :
( ~ greater(zero,difference(growth_rate(first_movers,critical_point(X0)),growth_rate(efficient_producers,critical_point(X0))))
| ~ environment(X0) ),
inference(resolution,[],[f7,f31]) ).
fof(f31,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,critical_point(X0)),growth_rate(first_movers,critical_point(X0)))
| ~ environment(X0) ),
inference(equality_resolution,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) != X1
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_54) ).
fof(f7,axiom,
! [X0] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(zero,difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_negative_growth_rate_difference_39) ).
fof(f260,plain,
( greater(zero,difference(growth_rate(first_movers,critical_point(sk1)),growth_rate(efficient_producers,critical_point(sk1))))
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f339,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f338,plain,
( $false
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f337,f26]) ).
fof(f337,plain,
( ~ environment(sk1)
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f334,f27]) ).
fof(f334,plain,
( ~ in_environment(sk1,critical_point(sk1))
| ~ environment(sk1)
| ~ spl0_22 ),
inference(resolution,[],[f333,f3]) ).
fof(f333,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
| ~ spl0_22 ),
inference(resolution,[],[f331,f29]) ).
fof(f331,plain,
( ! [X0] :
( ~ greater(X0,sk2)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) )
| ~ spl0_22 ),
inference(resolution,[],[f189,f19]) ).
fof(f19,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_51) ).
fof(f189,plain,
( ! [X0] :
( ~ greater_or_equal(X0,sk2)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) )
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f188,plain,
( spl0_22
<=> ! [X0] :
( ~ greater_or_equal(X0,sk2)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f328,plain,
( spl0_21
| spl0_22
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f327,f207,f188,f185]) ).
fof(f185,plain,
( spl0_21
<=> ! [X1] :
( ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f207,plain,
( spl0_26
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sk2)
| ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1) )
| ~ spl0_26 ),
inference(subsumption_resolution,[],[f292,f26]) ).
fof(f292,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sk2)
| ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ environment(sk1) )
| ~ spl0_26 ),
inference(resolution,[],[f291,f24]) ).
fof(f24,axiom,
! [X2,X3,X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a10_56) ).
fof(f291,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ spl0_26 ),
inference(resolution,[],[f208,f26]) ).
fof(f208,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2) )
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f321,plain,
( spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f320]) ).
fof(f320,plain,
( $false
| spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f319,f26]) ).
fof(f319,plain,
( ~ environment(sk1)
| spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f316,f27]) ).
fof(f316,plain,
( ~ in_environment(sk1,critical_point(sk1))
| ~ environment(sk1)
| spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f307,f3]) ).
fof(f307,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
| spl0_1
| ~ spl0_5 ),
inference(forward_demodulation,[],[f44,f72]) ).
fof(f72,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl0_5
<=> critical_point(sk1) = appear(efficient_producers,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f44,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| spl0_1 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_1
<=> subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f301,plain,
( ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f295,f185,f43]) ).
fof(f295,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| ~ spl0_21 ),
inference(resolution,[],[f186,f28]) ).
fof(f186,plain,
( ! [X1] :
( ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1) )
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f275,plain,
( spl0_26
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f274,f172,f207]) ).
fof(f172,plain,
( spl0_20
<=> decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f274,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| ~ spl0_20 ),
inference(resolution,[],[f174,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_34) ).
fof(f174,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f219,plain,
( spl0_21
| spl0_22
| spl0_12 ),
inference(avatar_split_clause,[],[f218,f115,f188,f185]) ).
fof(f115,plain,
( spl0_12
<=> subpopulations(efficient_producers,first_movers,sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f218,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sk2)
| ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1) )
| spl0_12 ),
inference(subsumption_resolution,[],[f216,f26]) ).
fof(f216,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sk2)
| ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ environment(sk1) )
| spl0_12 ),
inference(resolution,[],[f215,f24]) ).
fof(f215,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| spl0_12 ),
inference(subsumption_resolution,[],[f214,f26]) ).
fof(f214,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| spl0_12 ),
inference(resolution,[],[f117,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_48) ).
fof(f117,plain,
( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f190,plain,
( spl0_21
| spl0_22
| spl0_19 ),
inference(avatar_split_clause,[],[f183,f168,f188,f185]) ).
fof(f168,plain,
( spl0_19
<=> decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f183,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sk2)
| ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1) )
| spl0_19 ),
inference(subsumption_resolution,[],[f181,f26]) ).
fof(f181,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,sk2)
| ~ greater_or_equal(sk2,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ environment(sk1) )
| spl0_19 ),
inference(resolution,[],[f180,f24]) ).
fof(f180,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| spl0_19 ),
inference(resolution,[],[f177,f26]) ).
fof(f177,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2) )
| spl0_19 ),
inference(resolution,[],[f170,f25]) ).
fof(f25,axiom,
! [X0,X1] :
( decreases(difference(founding_rate(first_movers,X1),founding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a12_57) ).
fof(f170,plain,
( ~ decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
| spl0_19 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f175,plain,
( ~ spl0_19
| spl0_20
| spl0_16 ),
inference(avatar_split_clause,[],[f166,f152,f172,f168]) ).
fof(f152,plain,
( spl0_16
<=> decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f166,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ decreases(difference(founding_rate(first_movers,sk2),founding_rate(efficient_producers,sk2)))
| spl0_16 ),
inference(resolution,[],[f154,f5]) ).
fof(f5,axiom,
! [X0] :
( decreases(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)))
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ decreases(difference(founding_rate(first_movers,X0),founding_rate(efficient_producers,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_difference_between_founding_rates_37) ).
fof(f154,plain,
( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| spl0_16 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_15
| ~ spl0_16
| spl0_11 ),
inference(avatar_split_clause,[],[f145,f111,f152,f149]) ).
fof(f111,plain,
( spl0_11
<=> greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f145,plain,
( ! [X0,X1] :
( ~ decreases(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)))
| ~ greater(X0,sk2)
| ~ greater_or_equal(sk2,appear(efficient_producers,X1))
| ~ greater_or_equal(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero)
| ~ in_environment(X1,X0)
| ~ environment(X1) )
| spl0_11 ),
inference(resolution,[],[f124,f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( greater(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)),zero)
| ~ decreases(difference(growth_rate(first_movers,X2),growth_rate(efficient_producers,X2)))
| ~ greater(X1,X2)
| ~ greater_or_equal(X2,appear(efficient_producers,X0))
| ~ greater_or_equal(difference(growth_rate(first_movers,X1),growth_rate(efficient_producers,X1)),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_decreasing_function_38) ).
fof(f124,plain,
( ~ greater(difference(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)),zero)
| spl0_11 ),
inference(resolution,[],[f113,f9]) ).
fof(f9,axiom,
! [X0] :
( greater(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0))
| ~ greater(difference(growth_rate(first_movers,X0),growth_rate(efficient_producers,X0)),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_growth_rate_difference_41) ).
fof(f113,plain,
( ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2))
| spl0_11 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f121,plain,
( spl0_5
| ~ spl0_4
| spl0_10 ),
inference(avatar_split_clause,[],[f120,f105,f66,f70]) ).
fof(f66,plain,
( spl0_4
<=> greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f105,plain,
( spl0_10
<=> greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f120,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| ~ spl0_4
| spl0_10 ),
inference(subsumption_resolution,[],[f119,f67]) ).
fof(f67,plain,
( greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f119,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))
| spl0_10 ),
inference(resolution,[],[f107,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_50) ).
fof(f107,plain,
( ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
| spl0_10 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f118,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f109,f115,f111]) ).
fof(f109,plain,
( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ greater(growth_rate(first_movers,sk2),growth_rate(efficient_producers,sk2)) ),
inference(resolution,[],[f53,f30]) ).
fof(f30,axiom,
~ selection_favors(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t3_62) ).
fof(f53,plain,
! [X2,X0,X1] :
( selection_favors(X0,X2,X1)
| ~ subpopulations(X2,X0,sk1,X1)
| ~ greater(growth_rate(X0,X1),growth_rate(X2,X1)) ),
inference(resolution,[],[f1,f26]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_33) ).
fof(f108,plain,
( spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f103,f105,f43]) ).
fof(f103,plain,
( ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
| subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1)) ),
inference(subsumption_resolution,[],[f102,f26]) ).
fof(f102,plain,
( ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
| subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| ~ environment(sk1) ),
inference(subsumption_resolution,[],[f62,f33]) ).
fof(f33,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f20]) ).
fof(f20,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_52) ).
fof(f62,plain,
( ~ greater_or_equal(appear(efficient_producers,sk1),appear(efficient_producers,sk1))
| ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
| subpopulations(first_movers,efficient_producers,sk1,appear(efficient_producers,sk1))
| ~ environment(sk1) ),
inference(resolution,[],[f58,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ in_environment(X0,appear(efficient_producers,X0))
| subpopulations(first_movers,efficient_producers,X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_when_EP_appears_36) ).
fof(f58,plain,
! [X0] :
( in_environment(sk1,X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| ~ greater(critical_point(sk1),X0) ),
inference(subsumption_resolution,[],[f57,f27]) ).
fof(f57,plain,
! [X0] :
( ~ greater(critical_point(sk1),X0)
| ~ greater_or_equal(X0,appear(efficient_producers,sk1))
| ~ in_environment(sk1,critical_point(sk1))
| in_environment(sk1,X0) ),
inference(resolution,[],[f14,f26]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ greater(critical_point(X0),X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,critical_point(X0))
| in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_critical_time_points_46) ).
fof(f82,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f81]) ).
fof(f81,plain,
( $false
| spl0_4 ),
inference(subsumption_resolution,[],[f80,f26]) ).
fof(f80,plain,
( ~ environment(sk1)
| spl0_4 ),
inference(subsumption_resolution,[],[f77,f27]) ).
fof(f77,plain,
( ~ in_environment(sk1,critical_point(sk1))
| ~ environment(sk1)
| spl0_4 ),
inference(resolution,[],[f76,f3]) ).
fof(f76,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
| spl0_4 ),
inference(subsumption_resolution,[],[f74,f26]) ).
fof(f74,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,critical_point(sk1))
| ~ environment(sk1)
| spl0_4 ),
inference(resolution,[],[f68,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_FM_and_EP_members_EP_appeared_49) ).
fof(f68,plain,
( ~ greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1))
| spl0_4 ),
inference(avatar_component_clause,[],[f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT034-2 : TPTP v8.2.0. Released v2.4.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.34 % Computer : n010.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat May 18 23:59:37 EDT 2024
% 0.15/0.34 % CPUTime :
% 0.15/0.34 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.35 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.57/0.72 % (7613)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.72 % (7608)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.72 % (7610)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.72 % (7609)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.57/0.73 % (7615)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.57/0.74 % (7611)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.57/0.74 % (7612)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.57/0.74 % (7614)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.57/0.74 % (7613)Instruction limit reached!
% 0.57/0.74 % (7613)------------------------------
% 0.57/0.74 % (7613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (7613)Termination reason: Unknown
% 0.57/0.74 % (7613)Termination phase: Saturation
% 0.57/0.74
% 0.57/0.74 % (7613)Memory used [KB]: 1226
% 0.57/0.74 % (7613)Time elapsed: 0.016 s
% 0.57/0.74 % (7613)Instructions burned: 48 (million)
% 0.57/0.74 % (7613)------------------------------
% 0.57/0.74 % (7613)------------------------------
% 0.57/0.74 % (7616)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.57/0.74 % (7612)Refutation not found, incomplete strategy% (7612)------------------------------
% 0.57/0.74 % (7612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (7612)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (7612)Memory used [KB]: 1073
% 0.57/0.74 % (7612)Time elapsed: 0.006 s
% 0.57/0.74 % (7612)Instructions burned: 7 (million)
% 0.57/0.74 % (7611)Refutation not found, incomplete strategy% (7611)------------------------------
% 0.57/0.74 % (7611)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (7611)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (7611)Memory used [KB]: 1062
% 0.57/0.74 % (7611)Time elapsed: 0.006 s
% 0.57/0.74 % (7611)Instructions burned: 7 (million)
% 0.57/0.74 % (7612)------------------------------
% 0.57/0.74 % (7612)------------------------------
% 0.57/0.74 % (7611)------------------------------
% 0.57/0.74 % (7611)------------------------------
% 0.57/0.74 % (7610)First to succeed.
% 0.57/0.74 % (7610)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-7607"
% 0.57/0.74 % (7608)Instruction limit reached!
% 0.57/0.74 % (7608)------------------------------
% 0.57/0.74 % (7608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (7608)Termination reason: Unknown
% 0.57/0.74 % (7608)Termination phase: Saturation
% 0.57/0.74
% 0.57/0.74 % (7608)Memory used [KB]: 1261
% 0.57/0.74 % (7608)Time elapsed: 0.018 s
% 0.57/0.74 % (7608)Instructions burned: 37 (million)
% 0.57/0.74 % (7608)------------------------------
% 0.57/0.74 % (7608)------------------------------
% 0.57/0.74 % (7616)Refutation not found, incomplete strategy% (7616)------------------------------
% 0.57/0.74 % (7616)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (7616)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.74
% 0.57/0.74 % (7616)Memory used [KB]: 1063
% 0.57/0.74 % (7616)Time elapsed: 0.005 s
% 0.57/0.74 % (7616)Instructions burned: 7 (million)
% 0.57/0.74 % (7610)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Unsatisfiable for theBenchmark
% 0.57/0.74 % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.74 % (7610)------------------------------
% 0.57/0.74 % (7610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.74 % (7610)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (7610)Memory used [KB]: 1197
% 0.57/0.74 % (7610)Time elapsed: 0.015 s
% 0.57/0.74 % (7610)Instructions burned: 20 (million)
% 0.57/0.74 % (7607)Success in time 0.392 s
% 0.57/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------