TSTP Solution File: MGT036-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT036-3 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n026.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 : Tue May 21 00:43:34 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(subsumption_resolution,[],[f26,f5]) ).
fof(f5,axiom,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_5) ).
fof(f26,plain,
~ environment(sk1),
inference(subsumption_resolution,[],[f25,f7]) ).
fof(f7,axiom,
greater_or_equal(growth_rate(first_movers,sk2),zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_7) ).
fof(f25,plain,
( ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(subsumption_resolution,[],[f24,f8]) ).
fof(f8,axiom,
greater(zero,growth_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_8) ).
fof(f24,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(subsumption_resolution,[],[f22,f11]) ).
fof(f11,plain,
~ outcompetes(first_movers,efficient_producers,sk2),
inference(subsumption_resolution,[],[f10,f5]) ).
fof(f10,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1) ),
inference(resolution,[],[f9,f6]) ).
fof(f6,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_star_6) ).
fof(f9,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ outcompetes(first_movers,efficient_producers,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_star_9) ).
fof(f22,plain,
( outcompetes(first_movers,efficient_producers,sk2)
| ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(subsumption_resolution,[],[f12,f5]) ).
fof(f12,plain,
( ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(resolution,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| subpopulations(X2,X1,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT036-3 : TPTP v8.2.0. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n026.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 : Sun May 19 00:04:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (13576)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13580)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (13578)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (13579)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37 % (13582)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (13581)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (13577)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (13583)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (13581)First to succeed.
% 0.15/0.37 Detected minimum model sizes of [1,1,1,1,1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 Detected minimum model sizes of [1,1,1,1,1]
% 0.15/0.37 Detected maximum model sizes of [max,2,1,1,1]
% 0.15/0.37 Detected maximum model sizes of [max,2,1,1,1]
% 0.15/0.37 TRYING [1,1,1,1,1]
% 0.15/0.37 TRYING [1,1,1,1,1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 % (13582)Also succeeded, but the first one will report.
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (13581)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-13576"
% 0.15/0.37 TRYING [2,1,1,1,1]
% 0.15/0.37 TRYING [2,1,1,1,1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 % (13579)Also succeeded, but the first one will report.
% 0.15/0.37 TRYING [3,1,1,1,1]
% 0.15/0.37 TRYING [3,1,1,1,1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [2,2,1,1,1]
% 0.15/0.37 TRYING [2,2,1,1,1]
% 0.15/0.37 TRYING [3]
% 0.15/0.37 TRYING [3,2,1,1,1]
% 0.15/0.37 TRYING [3,2,1,1,1]
% 0.15/0.38 % (13581)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (13581)------------------------------
% 0.15/0.38 % (13581)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (13581)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (13581)Memory used [KB]: 746
% 0.15/0.38 % (13581)Time elapsed: 0.003 s
% 0.15/0.38 % (13581)Instructions burned: 2 (million)
% 0.15/0.38 % (13576)Success in time 0.008 s
%------------------------------------------------------------------------------