TSTP Solution File: MGT022+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n006.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 07:56:35 EDT 2024
% Result : Theorem 0.55s 0.73s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 5 unt; 0 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 193 ( 75 ~; 63 |; 34 &)
% ( 4 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 43 ( 37 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f62,plain,
$false,
inference(avatar_sat_refutation,[],[f38,f43,f44,f46,f54,f61]) ).
fof(f61,plain,
( ~ spl2_2
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f60,plain,
( $false
| ~ spl2_2
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f59,f18]) ).
fof(f18,plain,
environment(sK0),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( ( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& constant(resources(sK0,sK1)) )
| ( ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& decreases(resources(sK0,sK1)) ) )
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f13]) ).
fof(f13,plain,
( ? [X0,X1] :
( ( ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) )
| ( ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& decreases(resources(X0,X1)) ) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( ( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& constant(resources(sK0,sK1)) )
| ( ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
& decreases(resources(sK0,sK1)) ) )
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( ( ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) )
| ( ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& decreases(resources(X0,X1)) ) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
? [X0,X1] :
( ( ( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& constant(resources(X0,X1)) )
| ( ~ increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
& decreases(resources(X0,X1)) ) )
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
~ ! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) )
& ( decreases(resources(X0,X1))
=> increases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X1,X4] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X1,X4] :
( ( subpopulations(first_movers,efficient_producers,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> ~ decreases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.U0JA3Te5hU/Vampire---4.8_7200',prove_l4) ).
fof(f59,plain,
( ~ environment(sK0)
| ~ spl2_2
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f58,f42]) ).
fof(f42,plain,
( constant(resources(sK0,sK1))
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl2_4
<=> constant(resources(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f58,plain,
( ~ constant(resources(sK0,sK1))
| ~ environment(sK0)
| ~ spl2_2 ),
inference(resolution,[],[f57,f19]) ).
fof(f19,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f14]) ).
fof(f57,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ constant(resources(X0,sK1))
| ~ environment(X0) )
| ~ spl2_2 ),
inference(subsumption_resolution,[],[f56,f17]) ).
fof(f17,plain,
greater(resilience(efficient_producers),resilience(first_movers)),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/tmp/tmp.U0JA3Te5hU/Vampire---4.8_7200',a2) ).
fof(f56,plain,
( ! [X0] :
( ~ constant(resources(X0,sK1))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| ~ spl2_2 ),
inference(resolution,[],[f55,f16]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( ( ( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3)) )
& ( 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) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( ( ( constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3)))
| ~ constant(resources(X0,X3)) )
& ( 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) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1,X2,X3] :
( ( greater(resilience(X2),resilience(X1))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> ( ( constant(resources(X0,X3))
=> constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) )
& ( decreases(resources(X0,X3))
=> increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2,X3,X4] :
( ( greater(resilience(X3),resilience(X2))
& subpopulations(X2,X3,X1,X4)
& environment(X1) )
=> ( ( constant(resources(X1,X4))
=> constant(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) )
& ( decreases(resources(X1,X4))
=> increases(difference(disbanding_rate(X2,X4),disbanding_rate(X3,X4))) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.U0JA3Te5hU/Vampire---4.8_7200',a5) ).
fof(f55,plain,
( ~ constant(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl2_2 ),
inference(resolution,[],[f32,f24]) ).
fof(f24,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( constant(X0)
=> ~ decreases(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.U0JA3Te5hU/Vampire---4.8_7200',mp_constant_not_decrease) ).
fof(f32,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl2_2
<=> decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f54,plain,
( ~ spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f53,f26,f35]) ).
fof(f35,plain,
( spl2_3
<=> decreases(resources(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f26,plain,
( spl2_1
<=> increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f53,plain,
( ~ decreases(resources(sK0,sK1))
| spl2_1 ),
inference(subsumption_resolution,[],[f49,f18]) ).
fof(f49,plain,
( ~ decreases(resources(sK0,sK1))
| ~ environment(sK0)
| spl2_1 ),
inference(resolution,[],[f48,f19]) ).
fof(f48,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ decreases(resources(X0,sK1))
| ~ environment(X0) )
| spl2_1 ),
inference(subsumption_resolution,[],[f47,f17]) ).
fof(f47,plain,
( ! [X0] :
( ~ decreases(resources(X0,sK1))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| spl2_1 ),
inference(resolution,[],[f15,f28]) ).
fof(f28,plain,
( ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| spl2_1 ),
inference(avatar_component_clause,[],[f26]) ).
fof(f15,plain,
! [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) ),
inference(cnf_transformation,[],[f9]) ).
fof(f46,plain,
( ~ spl2_4
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f45,f35,f40]) ).
fof(f45,plain,
( ~ constant(resources(sK0,sK1))
| ~ spl2_3 ),
inference(resolution,[],[f24,f37]) ).
fof(f37,plain,
( decreases(resources(sK0,sK1))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f44,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f20,f40,f35]) ).
fof(f20,plain,
( constant(resources(sK0,sK1))
| decreases(resources(sK0,sK1)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f43,plain,
( ~ spl2_1
| spl2_4 ),
inference(avatar_split_clause,[],[f21,f40,f26]) ).
fof(f21,plain,
( constant(resources(sK0,sK1))
| ~ increases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))) ),
inference(cnf_transformation,[],[f14]) ).
fof(f38,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f22,f30,f35]) ).
fof(f22,plain,
( decreases(difference(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)))
| decreases(resources(sK0,sK1)) ),
inference(cnf_transformation,[],[f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : MGT022+1 : TPTP v8.1.2. Released v2.0.0.
% 0.09/0.14 % 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 : n006.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 20:05:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_NEQ 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.U0JA3Te5hU/Vampire---4.8_7200
% 0.55/0.73 % (7308)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)
% 0.55/0.73 % (7311)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)
% 0.55/0.73 % (7310)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.73 % (7312)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)
% 0.55/0.73 % (7313)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)
% 0.55/0.73 % (7309)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)
% 0.55/0.73 % (7314)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)
% 0.55/0.73 % (7308)First to succeed.
% 0.55/0.73 % (7313)Also succeeded, but the first one will report.
% 0.55/0.73 % (7310)Also succeeded, but the first one will report.
% 0.55/0.73 % (7312)Also succeeded, but the first one will report.
% 0.55/0.73 % (7311)Also succeeded, but the first one will report.
% 0.55/0.73 % (7309)Also succeeded, but the first one will report.
% 0.55/0.73 % (7308)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-7307"
% 0.55/0.73 % (7314)Also succeeded, but the first one will report.
% 0.55/0.73 % (7308)Refutation found. Thanks to Tanya!
% 0.55/0.73 % SZS status Theorem for Vampire---4
% 0.55/0.73 % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.73 % (7308)------------------------------
% 0.55/0.73 % (7308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73 % (7308)Termination reason: Refutation
% 0.55/0.73
% 0.55/0.73 % (7308)Memory used [KB]: 978
% 0.55/0.73 % (7308)Time elapsed: 0.003 s
% 0.55/0.73 % (7308)Instructions burned: 4 (million)
% 0.55/0.73 % (7307)Success in time 0.366 s
% 0.55/0.73 % Vampire---4.8 exiting
%------------------------------------------------------------------------------