TSTP Solution File: MGT026-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT026-1 : TPTP v8.1.2. 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 : n021.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 1 03:21:52 EDT 2024
% Result : Unsatisfiable 0.57s 0.74s
% Output : Refutation 0.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 57 ( 10 unt; 0 def)
% Number of atoms : 138 ( 9 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 156 ( 75 ~; 76 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 6 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f124,plain,
$false,
inference(avatar_sat_refutation,[],[f39,f62,f78,f87,f93,f123]) ).
fof(f123,plain,
( ~ spl0_2
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f122,plain,
( $false
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f121,f15]) ).
fof(f15,axiom,
environment(sk1),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',prove_l8_42) ).
fof(f121,plain,
( ~ environment(sk1)
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f120,f116]) ).
fof(f116,plain,
( ~ greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ spl0_2
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f15,f18,f110,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| selection_favors(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp1_high_growth_rates_28) ).
fof(f110,plain,
( subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ spl0_2
| ~ spl0_4 ),
inference(unit_resulting_resolution,[],[f15,f16,f38,f49,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| subpopulations(first_movers,efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_non_empty_fm_and_ep_30) ).
fof(f49,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f48,plain,
( spl0_4
<=> greater(cardinality_at_time(efficient_producers,sk2),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f38,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_2
<=> greater(cardinality_at_time(first_movers,sk2),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f16,axiom,
in_environment(sk1,sk2),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',prove_l8_43) ).
fof(f18,axiom,
~ selection_favors(efficient_producers,first_movers,sk2),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',prove_l8_45) ).
fof(f120,plain,
( greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ environment(sk1)
| ~ spl0_2
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f117,f17]) ).
fof(f17,axiom,
greater(sk2,critical_point(sk1)),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',prove_l8_44) ).
fof(f117,plain,
( ~ greater(sk2,critical_point(sk1))
| greater(growth_rate(efficient_producers,sk2),growth_rate(first_movers,sk2))
| ~ environment(sk1)
| ~ spl0_2
| ~ spl0_4 ),
inference(resolution,[],[f110,f20]) ).
fof(f20,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,critical_point(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0) ),
inference(equality_resolution,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| critical_point(X0) != X1
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',d1_40) ).
fof(f93,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f88,f49]) ).
fof(f88,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ spl0_1 ),
inference(unit_resulting_resolution,[],[f15,f24,f23,f18,f34,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ greater(cardinality_at_time(X1,X2),zero)
| zero != cardinality_at_time(X3,X2)
| selection_favors(X1,X3,X2)
| ~ subpopulation(X3,X0,X2)
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp2_favour_members_29) ).
fof(f34,plain,
( zero = cardinality_at_time(first_movers,sk2)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_1
<=> zero = cardinality_at_time(first_movers,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f23,plain,
subpopulation(first_movers,sk1,sk2),
inference(unit_resulting_resolution,[],[f15,f16,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_subpopulations_32) ).
fof(f24,plain,
subpopulation(efficient_producers,sk1,sk2),
inference(unit_resulting_resolution,[],[f15,f16,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_subpopulations_33) ).
fof(f87,plain,
( spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f86]) ).
fof(f86,plain,
( $false
| spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f82,f61]) ).
fof(f61,plain,
( greater(critical_point(sk1),appear(efficient_producers,sk1))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_6
<=> greater(critical_point(sk1),appear(efficient_producers,sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f82,plain,
( ~ greater(critical_point(sk1),appear(efficient_producers,sk1))
| spl0_4 ),
inference(unit_resulting_resolution,[],[f80,f28]) ).
fof(f28,plain,
! [X0] :
( ~ greater(critical_point(sk1),X0)
| greater(sk2,X0) ),
inference(resolution,[],[f17,f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_greater_transitivity_35) ).
fof(f80,plain,
( ~ greater(sk2,appear(efficient_producers,sk1))
| spl0_4 ),
inference(unit_resulting_resolution,[],[f69,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_greater_or_equal_37) ).
fof(f69,plain,
( ~ greater_or_equal(sk2,appear(efficient_producers,sk1))
| spl0_4 ),
inference(unit_resulting_resolution,[],[f15,f16,f50,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',t6_41) ).
fof(f50,plain,
( ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| spl0_4 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f78,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f77,plain,
( $false
| spl0_4
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f76,f27]) ).
fof(f27,plain,
greater_or_equal(sk2,critical_point(sk1)),
inference(unit_resulting_resolution,[],[f17,f10]) ).
fof(f76,plain,
( ~ greater_or_equal(sk2,critical_point(sk1))
| spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f69,f57]) ).
fof(f57,plain,
( critical_point(sk1) = appear(efficient_producers,sk1)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_5
<=> critical_point(sk1) = appear(efficient_producers,sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f62,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f53,f59,f55]) ).
fof(f53,plain,
( greater(critical_point(sk1),appear(efficient_producers,sk1))
| critical_point(sk1) = appear(efficient_producers,sk1) ),
inference(resolution,[],[f22,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_greater_or_equal_36) ).
fof(f22,plain,
greater_or_equal(critical_point(sk1),appear(efficient_producers,sk1)),
inference(unit_resulting_resolution,[],[f15,f7]) ).
fof(f7,axiom,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_critical_point_after_EP_34) ).
fof(f39,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
fof(f30,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| zero = cardinality_at_time(first_movers,sk2) ),
inference(resolution,[],[f25,f9]) ).
fof(f25,plain,
greater_or_equal(cardinality_at_time(first_movers,sk2),zero),
inference(unit_resulting_resolution,[],[f15,f16,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094',mp_first_movers_exist_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT026-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % 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
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:13:41 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 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/tmp/tmp.9dSCfoZCZ2/Vampire---4.8_3094
% 0.57/0.74 % (3357)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 Vampire---4 for (2996ds/83Mi)
% 0.57/0.74 % (3358)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.57/0.74 % (3351)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 Vampire---4 for (2996ds/34Mi)
% 0.57/0.74 % (3353)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.74 % (3352)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 Vampire---4 for (2996ds/51Mi)
% 0.57/0.74 % (3354)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.57/0.74 % (3355)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 Vampire---4 for (2996ds/34Mi)
% 0.57/0.74 % (3356)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.57/0.74 % (3357)First to succeed.
% 0.57/0.74 % (3357)Refutation found. Thanks to Tanya!
% 0.57/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.57/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.57/0.74 % (3357)------------------------------
% 0.57/0.74 % (3357)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.57/0.74 % (3357)Termination reason: Refutation
% 0.57/0.74
% 0.57/0.74 % (3357)Memory used [KB]: 1078
% 0.57/0.74 % (3357)Time elapsed: 0.004 s
% 0.57/0.74 % (3357)Instructions burned: 7 (million)
% 0.57/0.74 % (3357)------------------------------
% 0.57/0.74 % (3357)------------------------------
% 0.57/0.74 % (3347)Success in time 0.369 s
% 0.57/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------