TSTP Solution File: MGT023+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT023+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/sandbox/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 : Wed May 1 03:21:51 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 49 ( 7 unt; 0 def)
% Number of atoms : 162 ( 19 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 189 ( 76 ~; 82 |; 22 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 25 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f47,f58,f85]) ).
fof(f85,plain,
( spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f84]) ).
fof(f84,plain,
( $false
| spl3_1
| ~ spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f83,f30]) ).
fof(f30,plain,
( critical_point(sK2) != sK1(sK2)
| spl3_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl3_1
<=> critical_point(sK2) = sK1(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f83,plain,
( critical_point(sK2) = sK1(sK2)
| ~ spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f82,f17]) ).
fof(f17,plain,
environment(sK2),
inference(cnf_transformation,[],[f10]) ).
fof(f10,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f9]) ).
fof(f9,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> in_environment(X0,critical_point(X0)) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> in_environment(X0,critical_point(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.fvR7S1pEUD/Vampire---4.8_23410',prove_l5) ).
fof(f82,plain,
( ~ environment(sK2)
| critical_point(sK2) = sK1(sK2)
| ~ spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f81,f20]) ).
fof(f20,plain,
in_environment(sK2,sK1(sK2)),
inference(unit_resulting_resolution,[],[f17,f18,f15]) ).
fof(f15,plain,
! [X0] :
( in_environment(X0,sK1(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.fvR7S1pEUD/Vampire---4.8_23410',l12) ).
fof(f18,plain,
stable(sK2),
inference(cnf_transformation,[],[f10]) ).
fof(f81,plain,
( ~ in_environment(sK2,sK1(sK2))
| ~ environment(sK2)
| critical_point(sK2) = sK1(sK2)
| ~ spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f69,f21]) ).
fof(f21,plain,
~ greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2))),
inference(unit_resulting_resolution,[],[f17,f18,f16]) ).
fof(f16,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sK1(X0)),growth_rate(first_movers,sK1(X0)))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f69,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2)))
| ~ in_environment(sK2,sK1(sK2))
| ~ environment(sK2)
| critical_point(sK2) = sK1(sK2)
| ~ spl3_2
| ~ spl3_3 ),
inference(resolution,[],[f13,f61]) ).
fof(f61,plain,
( greater(growth_rate(efficient_producers,sK0(sK2,sK1(sK2))),growth_rate(first_movers,sK0(sK2,sK1(sK2))))
| ~ spl3_2
| ~ spl3_3 ),
inference(unit_resulting_resolution,[],[f18,f17,f35,f46,f14]) ).
fof(f14,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ stable(X0)
| ~ environment(X0)
| ~ greater(X2,sK1(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
( subpopulations(first_movers,efficient_producers,sK2,sK0(sK2,sK1(sK2)))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl3_3
<=> subpopulations(first_movers,efficient_producers,sK2,sK0(sK2,sK1(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f35,plain,
( greater(sK0(sK2,sK1(sK2)),sK1(sK2))
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f33,plain,
( spl3_2
<=> greater(sK0(sK2,sK1(sK2)),sK1(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f13,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK0(X0,X1)),growth_rate(first_movers,sK0(X0,X1)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1)
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& environment(X0) )
=> critical_point(X0) = X1 ),
file('/export/starexec/sandbox/tmp/tmp.fvR7S1pEUD/Vampire---4.8_23410',d1) ).
fof(f58,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f57]) ).
fof(f57,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f56,f17]) ).
fof(f56,plain,
( ~ environment(sK2)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f55,f18]) ).
fof(f55,plain,
( ~ stable(sK2)
| ~ environment(sK2)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f52,f19]) ).
fof(f19,plain,
~ in_environment(sK2,critical_point(sK2)),
inference(cnf_transformation,[],[f10]) ).
fof(f52,plain,
( in_environment(sK2,critical_point(sK2))
| ~ stable(sK2)
| ~ environment(sK2)
| ~ spl3_1 ),
inference(superposition,[],[f15,f31]) ).
fof(f31,plain,
( critical_point(sK2) = sK1(sK2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f47,plain,
( spl3_1
| spl3_3 ),
inference(avatar_split_clause,[],[f42,f44,f29]) ).
fof(f42,plain,
( subpopulations(first_movers,efficient_producers,sK2,sK0(sK2,sK1(sK2)))
| critical_point(sK2) = sK1(sK2) ),
inference(subsumption_resolution,[],[f41,f17]) ).
fof(f41,plain,
( ~ environment(sK2)
| subpopulations(first_movers,efficient_producers,sK2,sK0(sK2,sK1(sK2)))
| critical_point(sK2) = sK1(sK2) ),
inference(subsumption_resolution,[],[f38,f21]) ).
fof(f38,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2)))
| ~ environment(sK2)
| subpopulations(first_movers,efficient_producers,sK2,sK0(sK2,sK1(sK2)))
| critical_point(sK2) = sK1(sK2) ),
inference(resolution,[],[f11,f20]) ).
fof(f11,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sK0(X0,X1))
| critical_point(X0) = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f36,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f27,f33,f29]) ).
fof(f27,plain,
( greater(sK0(sK2,sK1(sK2)),sK1(sK2))
| critical_point(sK2) = sK1(sK2) ),
inference(subsumption_resolution,[],[f26,f17]) ).
fof(f26,plain,
( ~ environment(sK2)
| greater(sK0(sK2,sK1(sK2)),sK1(sK2))
| critical_point(sK2) = sK1(sK2) ),
inference(subsumption_resolution,[],[f23,f21]) ).
fof(f23,plain,
( greater(growth_rate(efficient_producers,sK1(sK2)),growth_rate(first_movers,sK1(sK2)))
| ~ environment(sK2)
| greater(sK0(sK2,sK1(sK2)),sK1(sK2))
| critical_point(sK2) = sK1(sK2) ),
inference(resolution,[],[f12,f20]) ).
fof(f12,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| greater(sK0(X0,X1),X1)
| critical_point(X0) = X1 ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT023+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.15 % 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
% 0.15/0.36 % Computer : n006.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 : Tue Apr 30 18:04:20 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.fvR7S1pEUD/Vampire---4.8_23410
% 0.59/0.75 % (23666)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)
% 0.59/0.75 % (23660)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)
% 0.59/0.75 % (23662)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (23663)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)
% 0.59/0.75 % (23661)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)
% 0.59/0.75 % (23664)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)
% 0.59/0.75 % (23665)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)
% 0.59/0.75 % (23666)First to succeed.
% 0.59/0.75 % (23664)Refutation not found, incomplete strategy% (23664)------------------------------
% 0.59/0.75 % (23664)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (23664)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75 % (23663)Refutation not found, incomplete strategy% (23663)------------------------------
% 0.59/0.75 % (23663)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (23663)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (23663)Memory used [KB]: 956
% 0.59/0.75 % (23663)Time elapsed: 0.003 s
% 0.59/0.75 % (23663)Instructions burned: 3 (million)
% 0.59/0.75 % (23663)------------------------------
% 0.59/0.75 % (23663)------------------------------
% 0.59/0.75
% 0.59/0.75 % (23664)Memory used [KB]: 971
% 0.59/0.75 % (23664)Time elapsed: 0.003 s
% 0.59/0.75 % (23664)Instructions burned: 2 (million)
% 0.59/0.75 % (23664)------------------------------
% 0.59/0.75 % (23664)------------------------------
% 0.59/0.75 % (23660)Refutation not found, incomplete strategy% (23660)------------------------------
% 0.59/0.75 % (23660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (23667)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)
% 0.59/0.75 % (23660)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (23660)Memory used [KB]: 975
% 0.59/0.75 % (23660)Time elapsed: 0.004 s
% 0.59/0.75 % (23660)Instructions burned: 4 (million)
% 0.59/0.75 % (23660)------------------------------
% 0.59/0.75 % (23660)------------------------------
% 0.59/0.75 % (23665)Also succeeded, but the first one will report.
% 0.59/0.75 % (23661)Also succeeded, but the first one will report.
% 0.59/0.75 % (23667)Refutation not found, incomplete strategy% (23667)------------------------------
% 0.59/0.75 % (23667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (23667)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (23667)Memory used [KB]: 954
% 0.59/0.75 % (23667)Time elapsed: 0.003 s
% 0.59/0.75 % (23667)Instructions burned: 2 (million)
% 0.59/0.75 % (23667)------------------------------
% 0.59/0.75 % (23667)------------------------------
% 0.59/0.76 % (23662)Also succeeded, but the first one will report.
% 0.59/0.76 % (23666)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (23666)------------------------------
% 0.59/0.76 % (23666)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (23666)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (23666)Memory used [KB]: 998
% 0.59/0.76 % (23666)Time elapsed: 0.003 s
% 0.59/0.76 % (23666)Instructions burned: 5 (million)
% 0.59/0.76 % (23666)------------------------------
% 0.59/0.76 % (23666)------------------------------
% 0.59/0.76 % (23656)Success in time 0.385 s
% 0.59/0.76 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.59/0.76 23656 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.fvR7S1pEUD/Vampire---4.8_23410
% 0.59/0.76 % (23656)------------------------------
% 0.59/0.76 % (23656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (23656)Termination reason: Unknown
% 0.59/0.76 % (23656)Termination phase: Unknown
% 0.59/0.76
% 0.59/0.76 % (23656)Memory used [KB]: 439
% 0.59/0.76 % (23656)Time elapsed: 0.385 s
% 0.59/0.76 % (23656)Instructions burned: 953 (million)
% 0.59/0.76 % (23656)------------------------------
% 0.59/0.76 % (23656)------------------------------
% 0.59/0.76 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 ???
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------