TSTP Solution File: MGT036-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT036-2 : 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 : n025.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 Apr 30 13:54:58 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 14 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 66 ( 34 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
$false,
inference(subsumption_resolution,[],[f56,f25]) ).
fof(f25,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[],[f24,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater_or_equal(growth_rate(X0,X1),zero)
| ~ greater(zero,growth_rate(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).
fof(f24,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(subsumption_resolution,[],[f23,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_12) ).
fof(f23,plain,
( ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f21,f14]) ).
fof(f14,axiom,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_14) ).
fof(f21,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f8,f18]) ).
fof(f18,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(subsumption_resolution,[],[f17,f12]) ).
fof(f17,plain,
( ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(resolution,[],[f1,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_13) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| subpopulations(X2,X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ outcompetes(X2,X1,X3)
| ~ environment(X0)
| greater_or_equal(growth_rate(X2,X3),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_8) ).
fof(f56,plain,
greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[],[f55,f10]) ).
fof(f10,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_10) ).
fof(f55,plain,
! [X1] :
( ~ greater(resilience(efficient_producers),resilience(X1))
| greater(zero,growth_rate(X1,sk2)) ),
inference(subsumption_resolution,[],[f54,f43]) ).
fof(f43,plain,
! [X0] : in_environment(X0,sk2),
inference(subsumption_resolution,[],[f39,f33]) ).
fof(f33,plain,
! [X0] : environment(X0),
inference(resolution,[],[f31,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ greater(zero,growth_rate(X1,X2))
| environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).
fof(f31,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(subsumption_resolution,[],[f30,f12]) ).
fof(f30,plain,
( ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f27,f14]) ).
fof(f27,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[],[f9,f18]) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ outcompetes(X2,X1,X3)
| ~ environment(X0)
| greater(zero,growth_rate(X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_9) ).
fof(f39,plain,
! [X0] :
( in_environment(X0,sk2)
| ~ environment(X0) ),
inference(resolution,[],[f38,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
fof(f38,plain,
! [X0,X1] : subpopulations(X1,efficient_producers,X0,sk2),
inference(subsumption_resolution,[],[f36,f33]) ).
fof(f36,plain,
! [X0,X1] :
( ~ environment(X0)
| subpopulations(X1,efficient_producers,X0,sk2) ),
inference(resolution,[],[f32,f1]) ).
fof(f32,plain,
! [X0,X1] : subpopulations(efficient_producers,X0,X1,sk2),
inference(resolution,[],[f31,f4]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X0,X3))
| subpopulations(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_4) ).
fof(f54,plain,
! [X0,X1] :
( ~ in_environment(X0,sk2)
| ~ greater(resilience(efficient_producers),resilience(X1))
| greater(zero,growth_rate(X1,sk2)) ),
inference(resolution,[],[f53,f31]) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ in_environment(X0,X1)
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1)) ),
inference(subsumption_resolution,[],[f11,f33]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT036-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.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 : Tue Apr 30 03:53:41 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (29803)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (29806)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (29805)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (29808)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)
% 0.14/0.38 % (29809)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (29810)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (29811)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (29812)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)
% 0.14/0.38 % (29810)First to succeed.
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38 Detected maximum model sizes of [2,max,1,1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.14/0.38 Detected maximum model sizes of [2,max,1,1]
% 0.14/0.38 TRYING [1,1,1,1]
% 0.14/0.38 TRYING [1,2,1,1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1,2,1,1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 % (29811)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [2,2,1,1]
% 0.14/0.38 % (29810)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (29810)------------------------------
% 0.14/0.38 % (29810)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (29810)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (29810)Memory used [KB]: 752
% 0.14/0.38 % (29810)Time elapsed: 0.003 s
% 0.14/0.38 % (29810)Instructions burned: 4 (million)
% 0.14/0.38 % (29810)------------------------------
% 0.14/0.38 % (29810)------------------------------
% 0.14/0.38 % (29803)Success in time 0.019 s
%------------------------------------------------------------------------------