TSTP Solution File: MGT036-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT036-1 : 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 : n003.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 03:21:57 EDT 2024
% Result : Unsatisfiable 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 6 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 114 ( 59 ~; 52 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,plain,
$false,
inference(avatar_sat_refutation,[],[f27,f35,f46,f52]) ).
fof(f52,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f51]) ).
fof(f51,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f50,f28]) ).
fof(f28,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ spl0_2 ),
inference(resolution,[],[f26,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater_or_equal(growth_rate(X0,X1),zero)
| ~ greater(zero,growth_rate(X0,X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',mp_growth_rate_relationships_5) ).
fof(f26,plain,
( greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl0_2
<=> greater_or_equal(growth_rate(first_movers,sk2),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f50,plain,
( greater(zero,growth_rate(first_movers,sk2))
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f49,f34]) ).
fof(f34,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_3
<=> greater(zero,growth_rate(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f49,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f47,f11]) ).
fof(f11,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',a2_11) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater(resilience(X1),resilience(X0))
| ~ greater(zero,growth_rate(X1,sk2))
| greater(zero,growth_rate(X0,sk2)) ),
inference(resolution,[],[f37,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',prove_t5_13) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X3,X2)
| greater(zero,growth_rate(X1,X2))
| ~ greater(zero,growth_rate(X0,X2))
| ~ greater(resilience(X0),resilience(X1)) ),
inference(subsumption_resolution,[],[f36,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( environment(X0)
| ~ greater(zero,growth_rate(X1,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',mp_growth_rate_relationships_3) ).
fof(f36,plain,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X0),resilience(X1))
| greater(zero,growth_rate(X1,X2))
| ~ greater(zero,growth_rate(X0,X2))
| ~ subpopulations(first_movers,efficient_producers,X3,X2)
| ~ environment(X3) ),
inference(resolution,[],[f17,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',mp_time_point_occur_2) ).
fof(f17,plain,
! [X2,X3,X0,X1] :
( ~ in_environment(X0,X1)
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ greater(zero,growth_rate(X3,X1)) ),
inference(subsumption_resolution,[],[f10,f3]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',a12_10) ).
fof(f46,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f45]) ).
fof(f45,plain,
( $false
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f43,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',prove_t5_12) ).
fof(f43,plain,
( ~ environment(sk1)
| ~ spl0_1 ),
inference(resolution,[],[f40,f13]) ).
fof(f40,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| ~ spl0_1 ),
inference(resolution,[],[f22,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subpopulations(efficient_producers,first_movers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',mp_symmetry_of_FM_and_EP_1) ).
fof(f22,plain,
( ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
| ~ environment(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_1
<=> ! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f35,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f29,f32,f21]) ).
fof(f29,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ subpopulations(efficient_producers,first_movers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[],[f9,f14]) ).
fof(f14,axiom,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',prove_t5_14) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ outcompetes(X2,X1,X3)
| greater(zero,growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',d2_9) ).
fof(f27,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f24,f21]) ).
fof(f18,plain,
! [X0] :
( greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ subpopulations(efficient_producers,first_movers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[],[f8,f14]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ outcompetes(X2,X1,X3)
| greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.RRGsOzOpi7/Vampire---4.8_25740',d2_8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : MGT036-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.15 % 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
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 18:15:49 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36 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.RRGsOzOpi7/Vampire---4.8_25740
% 0.56/0.74 % (25940)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)
% 0.56/0.74 % (25942)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)
% 0.56/0.74 % (25934)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)
% 0.56/0.74 % (25942)First to succeed.
% 0.56/0.74 % (25936)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74 % (25937)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)
% 0.56/0.74 % (25935)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)
% 0.56/0.74 % (25938)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)
% 0.56/0.74 % (25941)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)
% 0.56/0.74 % (25942)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.74 % (25942)------------------------------
% 0.56/0.74 % (25942)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.74 % (25942)Termination reason: Refutation
% 0.56/0.74
% 0.56/0.74 % (25942)Memory used [KB]: 996
% 0.56/0.74 % (25942)Time elapsed: 0.003 s
% 0.56/0.74 % (25942)Instructions burned: 4 (million)
% 0.56/0.74 % (25942)------------------------------
% 0.56/0.74 % (25942)------------------------------
% 0.56/0.74 % (25901)Success in time 0.375 s
% 0.56/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------