TSTP Solution File: MGT020-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT020-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n009.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 : Sun May 5 07:56:34 EDT 2024
% Result : Unsatisfiable 0.60s 0.83s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 8 unt; 0 def)
% Number of atoms : 131 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 182 ( 96 ~; 84 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f246,plain,
$false,
inference(avatar_sat_refutation,[],[f156,f158,f244]) ).
fof(f244,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f243,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f214,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',prove_l2_34) ).
fof(f214,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ spl0_6 ),
inference(backward_demodulation,[],[f51,f202]) ).
fof(f202,plain,
( sk2 = initial_FM_EP(sk1)
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f201,f13]) ).
fof(f201,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| sk2 = initial_FM_EP(sk1)
| ~ spl0_6 ),
inference(resolution,[],[f191,f18]) ).
fof(f18,plain,
! [X0] :
( greater(X0,initial_FM_EP(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| initial_FM_EP(sk1) = X0 ),
inference(resolution,[],[f17,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',mp_greater_or_equal_30) ).
fof(f17,plain,
! [X0] :
( greater_or_equal(X0,initial_FM_EP(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(resolution,[],[f3,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',prove_l2_33) ).
fof(f3,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,initial_FM_EP(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',mp_earliest_time_point_24) ).
fof(f191,plain,
( ~ greater(sk2,initial_FM_EP(sk1))
| ~ spl0_6 ),
inference(resolution,[],[f181,f13]) ).
fof(f181,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1)) )
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f179,f12]) ).
fof(f179,plain,
( ! [X0] :
( ~ greater(X0,initial_FM_EP(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ environment(sk1) )
| ~ spl0_6 ),
inference(resolution,[],[f146,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',mp_time_point_occurs_26) ).
fof(f146,plain,
( ! [X0] :
( ~ in_environment(sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_6
<=> ! [X0] :
( ~ in_environment(sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f51,plain,
~ subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)),
inference(subsumption_resolution,[],[f50,f13]) ).
fof(f50,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f49,f17]) ).
fof(f49,plain,
! [X0] :
( ~ greater_or_equal(sk2,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0) ),
inference(subsumption_resolution,[],[f46,f13]) ).
fof(f46,plain,
! [X0] :
( ~ greater_or_equal(sk2,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f45,f14]) ).
fof(f14,axiom,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',prove_l2_35) ).
fof(f45,plain,
! [X0,X1] :
( greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater_or_equal(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1) ),
inference(subsumption_resolution,[],[f44,f17]) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,initial_FM_EP(sk1))
| ~ subpopulations(first_movers,efficient_producers,sk1,X1)
| ~ greater_or_equal(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
inference(resolution,[],[f43,f12]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ environment(X2)
| ~ greater_or_equal(X1,initial_FM_EP(X2))
| ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| ~ greater_or_equal(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sk1,X1)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
inference(resolution,[],[f41,f12]) ).
fof(f41,plain,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X2,initial_FM_EP(X3))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,sk1,X2)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
inference(resolution,[],[f27,f12]) ).
fof(f27,plain,
! [X2,X3,X0,X1,X4] :
( ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ greater_or_equal(X0,X2)
| ~ greater_or_equal(X2,initial_FM_EP(X3))
| ~ environment(X1)
| ~ environment(X3)
| ~ subpopulations(first_movers,efficient_producers,X4,X2)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
inference(resolution,[],[f22,f1]) ).
fof(f1,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/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',l3_22) ).
fof(f22,plain,
! [X2,X3,X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ greater_or_equal(X1,X0)
| ~ greater_or_equal(X0,initial_FM_EP(X3))
| ~ environment(X2)
| ~ environment(X3) ),
inference(resolution,[],[f4,f10]) ).
fof(f10,axiom,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',a8_31) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X1,X2)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',mp_positive_function_difference_25) ).
fof(f158,plain,
( ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f157,f145,f141]) ).
fof(f141,plain,
( spl0_5
<=> greater_or_equal(initial_FM_EP(sk1),start_time(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f157,plain,
! [X0] :
( ~ in_environment(sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1))
| ~ greater_or_equal(initial_FM_EP(sk1),start_time(sk1)) ),
inference(subsumption_resolution,[],[f150,f12]) ).
fof(f150,plain,
! [X0] :
( ~ in_environment(sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1))
| ~ greater_or_equal(initial_FM_EP(sk1),start_time(sk1))
| ~ environment(sk1) ),
inference(resolution,[],[f54,f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( in_environment(X0,X1)
| ~ in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',mp_times_in_order_28) ).
fof(f54,plain,
~ in_environment(sk1,initial_FM_EP(sk1)),
inference(subsumption_resolution,[],[f52,f12]) ).
fof(f52,plain,
( ~ in_environment(sk1,initial_FM_EP(sk1))
| ~ environment(sk1) ),
inference(resolution,[],[f51,f2]) ).
fof(f2,axiom,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',mp_earliest_time_point_23) ).
fof(f156,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f155]) ).
fof(f155,plain,
( $false
| spl0_5 ),
inference(subsumption_resolution,[],[f154,f12]) ).
fof(f154,plain,
( ~ environment(sk1)
| spl0_5 ),
inference(resolution,[],[f143,f6]) ).
fof(f6,axiom,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877',mp_initial_time_27) ).
fof(f143,plain,
( ~ greater_or_equal(initial_FM_EP(sk1),start_time(sk1))
| spl0_5 ),
inference(avatar_component_clause,[],[f141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT020-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:04:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.FWDCtoJyr7/Vampire---4.8_7877
% 0.60/0.81 % (8247)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 (2995ds/56Mi)
% 0.60/0.81 % (8240)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 (2995ds/34Mi)
% 0.60/0.81 % (8242)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.81 % (8243)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.81 % (8244)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 (2995ds/34Mi)
% 0.60/0.81 % (8241)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 (2995ds/51Mi)
% 0.60/0.81 % (8245)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.81 % (8246)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 (2995ds/83Mi)
% 0.60/0.81 % (8243)Refutation not found, incomplete strategy% (8243)------------------------------
% 0.60/0.81 % (8243)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (8243)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (8243)Memory used [KB]: 967
% 0.60/0.81 % (8243)Time elapsed: 0.003 s
% 0.60/0.81 % (8243)Instructions burned: 2 (million)
% 0.60/0.81 % (8243)------------------------------
% 0.60/0.81 % (8243)------------------------------
% 0.60/0.81 % (8246)Refutation not found, incomplete strategy% (8246)------------------------------
% 0.60/0.81 % (8246)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (8246)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.81
% 0.60/0.81 % (8246)Memory used [KB]: 995
% 0.60/0.81 % (8246)Time elapsed: 0.005 s
% 0.60/0.81 % (8246)Instructions burned: 5 (million)
% 0.60/0.81 % (8246)------------------------------
% 0.60/0.81 % (8246)------------------------------
% 0.60/0.82 % (8247)Instruction limit reached!
% 0.60/0.82 % (8247)------------------------------
% 0.60/0.82 % (8247)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (8247)Termination reason: Unknown
% 0.60/0.82 % (8247)Termination phase: Saturation
% 0.60/0.82
% 0.60/0.82 % (8247)Memory used [KB]: 1215
% 0.60/0.82 % (8247)Time elapsed: 0.015 s
% 0.60/0.82 % (8247)Instructions burned: 57 (million)
% 0.60/0.82 % (8247)------------------------------
% 0.60/0.82 % (8247)------------------------------
% 0.60/0.82 % (8242)First to succeed.
% 0.60/0.82 % (8259)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 Vampire---4 for (2995ds/55Mi)
% 0.60/0.82 % (8263)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.60/0.82 % (8261)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.60/0.83 % (8242)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8056"
% 0.60/0.83 % (8242)Refutation found. Thanks to Tanya!
% 0.60/0.83 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83 % (8242)------------------------------
% 0.60/0.83 % (8242)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.83 % (8242)Termination reason: Refutation
% 0.60/0.83
% 0.60/0.83 % (8242)Memory used [KB]: 1132
% 0.60/0.83 % (8242)Time elapsed: 0.017 s
% 0.60/0.83 % (8242)Instructions burned: 27 (million)
% 0.60/0.83 % (8056)Success in time 0.464 s
% 0.60/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------