TSTP Solution File: MGT032-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 07:57:33 EDT 2024
% Result : Unsatisfiable 0.22s 0.38s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 21 ( 9 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,plain,
$false,
inference(subsumption_resolution,[],[f20,f10]) ).
fof(f10,plain,
in_environment(sk2,sk1(sk2)),
inference(subsumption_resolution,[],[f9,f4]) ).
fof(f4,axiom,
environment(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_4) ).
fof(f9,plain,
( ~ environment(sk2)
| in_environment(sk2,sk1(sk2)) ),
inference(resolution,[],[f2,f5]) ).
fof(f5,axiom,
stable(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_5) ).
fof(f2,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_2) ).
fof(f20,plain,
~ in_environment(sk2,sk1(sk2)),
inference(resolution,[],[f19,f8]) ).
fof(f8,axiom,
! [X0] :
( ~ selection_favors(efficient_producers,first_movers,sk3(X0))
| ~ in_environment(sk2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_8) ).
fof(f19,plain,
selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))),
inference(resolution,[],[f18,f14]) ).
fof(f14,plain,
( ~ greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2))))
| selection_favors(efficient_producers,first_movers,sk3(sk1(sk2))) ),
inference(subsumption_resolution,[],[f13,f4]) ).
fof(f13,plain,
( selection_favors(efficient_producers,first_movers,sk3(sk1(sk2)))
| ~ environment(sk2)
| ~ greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(resolution,[],[f1,f11]) ).
fof(f11,plain,
subpopulations(first_movers,efficient_producers,sk2,sk3(sk1(sk2))),
inference(resolution,[],[f10,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ in_environment(sk2,X0)
| subpopulations(first_movers,efficient_producers,sk2,sk3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_6) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| selection_favors(X2,X1,X3)
| ~ environment(X0)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp1_high_growth_rates_1) ).
fof(f18,plain,
greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))),
inference(subsumption_resolution,[],[f17,f5]) ).
fof(f17,plain,
( ~ stable(sk2)
| greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(subsumption_resolution,[],[f16,f12]) ).
fof(f12,plain,
greater_or_equal(sk3(sk1(sk2)),sk1(sk2)),
inference(resolution,[],[f10,f7]) ).
fof(f7,axiom,
! [X0] :
( ~ in_environment(sk2,X0)
| greater_or_equal(sk3(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t1_7) ).
fof(f16,plain,
( ~ greater_or_equal(sk3(sk1(sk2)),sk1(sk2))
| ~ stable(sk2)
| greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(subsumption_resolution,[],[f15,f4]) ).
fof(f15,plain,
( ~ environment(sk2)
| ~ greater_or_equal(sk3(sk1(sk2)),sk1(sk2))
| ~ stable(sk2)
| greater(growth_rate(efficient_producers,sk3(sk1(sk2))),growth_rate(first_movers,sk3(sk1(sk2)))) ),
inference(resolution,[],[f3,f11]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,sk1(X0))
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT032-2 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:03:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % (29901)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.37 % (29905)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.37 % (29902)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.37 % (29903)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.37 % (29906)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.37 % (29907)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.37 % (29908)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)
% 0.22/0.38 % (29904)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)
% 0.22/0.38 % (29906)First to succeed.
% 0.22/0.38 TRYING [1]
% 0.22/0.38 Detected minimum model sizes of [1,1,1,1,1]
% 0.22/0.38 Detected maximum model sizes of [max,2,max,max,1]
% 0.22/0.38 Detected minimum model sizes of [1,1,1,1,1]
% 0.22/0.38 Detected maximum model sizes of [max,2,max,max,1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1,1,1,1,1]
% 0.22/0.38 TRYING [1,1,1,1,1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 % (29907)Also succeeded, but the first one will report.
% 0.22/0.38 % (29906)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29901"
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2,1,1,1,1]
% 0.22/0.38 TRYING [2,1,1,1,1]
% 0.22/0.38 TRYING [2,2,1,1,1]
% 0.22/0.38 TRYING [2,2,1,1,1]
% 0.22/0.38 % (29904)Also succeeded, but the first one will report.
% 0.22/0.38 % (29906)Refutation found. Thanks to Tanya!
% 0.22/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.38 % (29906)------------------------------
% 0.22/0.38 % (29906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.38 % (29906)Termination reason: Refutation
% 0.22/0.38
% 0.22/0.38 % (29906)Memory used [KB]: 734
% 0.22/0.38 % (29906)Time elapsed: 0.003 s
% 0.22/0.38 % (29906)Instructions burned: 2 (million)
% 0.22/0.38 % (29901)Success in time 0.019 s
%------------------------------------------------------------------------------