TSTP Solution File: MGT022-2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT022-2 : 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 : n024.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 07:56:36 EDT 2024
% Result : Unsatisfiable 0.56s 0.73s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 98 ( 47 ~; 47 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 5 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52,plain,
$false,
inference(avatar_sat_refutation,[],[f19,f24,f29,f32,f39,f51]) ).
fof(f51,plain,
( ~ spl0_1
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f50]) ).
fof(f50,plain,
( $false
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f49,f5]) ).
fof(f5,axiom,
environment(sk1),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',prove_l4_5) ).
fof(f49,plain,
( ~ environment(sk1)
| ~ spl0_1
| spl0_4 ),
inference(subsumption_resolution,[],[f48,f14]) ).
fof(f14,plain,
( decreases(resources(sk1,sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f12]) ).
fof(f12,plain,
( spl0_1
<=> decreases(resources(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f48,plain,
( ~ decreases(resources(sk1,sk2))
| ~ environment(sk1)
| spl0_4 ),
inference(resolution,[],[f47,f6]) ).
fof(f6,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',prove_l4_6) ).
fof(f47,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ decreases(resources(X0,sk2))
| ~ environment(X0) )
| spl0_4 ),
inference(subsumption_resolution,[],[f46,f4]) ).
fof(f4,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',a2_4) ).
fof(f46,plain,
( ! [X0] :
( ~ decreases(resources(X0,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl0_4 ),
inference(resolution,[],[f28,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ decreases(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',a6_2) ).
fof(f28,plain,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| spl0_4 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f26,plain,
( spl0_4
<=> increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f39,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f38]) ).
fof(f38,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f37,f23]) ).
fof(f23,plain,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f21,plain,
( spl0_3
<=> decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f37,plain,
( ~ decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ spl0_2 ),
inference(resolution,[],[f36,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ constant(X0)
| ~ decreases(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',mp_constant_not_decrease_1) ).
fof(f36,plain,
( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f35,f5]) ).
fof(f35,plain,
( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ environment(sk1)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f34,f18]) ).
fof(f18,plain,
( constant(resources(sk1,sk2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_2
<=> constant(resources(sk1,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f34,plain,
( constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| ~ constant(resources(sk1,sk2))
| ~ environment(sk1) ),
inference(resolution,[],[f33,f6]) ).
fof(f33,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| constant(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ constant(resources(X0,X1))
| ~ environment(X0) ),
inference(resolution,[],[f3,f4]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ greater(resilience(X2),resilience(X1))
| ~ constant(resources(X0,X3))
| constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',a6_3) ).
fof(f32,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f31,f16,f12]) ).
fof(f31,plain,
( ~ decreases(resources(sk1,sk2))
| ~ spl0_2 ),
inference(resolution,[],[f18,f1]) ).
fof(f29,plain,
( ~ spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f16,f26]) ).
fof(f9,axiom,
( constant(resources(sk1,sk2))
| ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',prove_l4_9) ).
fof(f24,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f8,f21,f12]) ).
fof(f8,axiom,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',prove_l4_8) ).
fof(f19,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f7,f16,f12]) ).
fof(f7,axiom,
( constant(resources(sk1,sk2))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/tmp/tmp.vWjinljuUl/Vampire---4.8_13384',prove_l4_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT022-2 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % 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
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:03:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.14/0.35 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.vWjinljuUl/Vampire---4.8_13384
% 0.56/0.73 % (13736)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)
% 0.56/0.73 % (13736)First to succeed.
% 0.56/0.73 % (13729)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)
% 0.56/0.73 % (13731)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73 % (13732)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)
% 0.56/0.73 % (13734)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)
% 0.56/0.73 % (13730)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)
% 0.56/0.73 % (13733)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)
% 0.56/0.73 % (13735)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)
% 0.56/0.73 % (13736)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13581"
% 0.56/0.73 % (13734)Also succeeded, but the first one will report.
% 0.56/0.73 % (13736)Refutation found. Thanks to Tanya!
% 0.56/0.73 % SZS status Unsatisfiable for Vampire---4
% 0.56/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.73 % (13736)------------------------------
% 0.56/0.73 % (13736)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.73 % (13736)Termination reason: Refutation
% 0.56/0.73
% 0.56/0.73 % (13736)Memory used [KB]: 976
% 0.56/0.73 % (13736)Time elapsed: 0.003 s
% 0.56/0.73 % (13736)Instructions burned: 3 (million)
% 0.56/0.73 % (13581)Success in time 0.371 s
% 0.56/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------