TSTP Solution File: MGT036-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT036-1 : 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 : n013.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 13:54:57 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 33 ~; 30 |; 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 : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,plain,
$false,
inference(resolution,[],[f44,f16]) ).
fof(f16,plain,
in_environment(sk1,sk2),
inference(subsumption_resolution,[],[f15,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_12) ).
fof(f15,plain,
( in_environment(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_13) ).
fof(f2,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
fof(f44,plain,
! [X0] : ~ in_environment(X0,sk2),
inference(subsumption_resolution,[],[f43,f24]) ).
fof(f24,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[],[f23,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater_or_equal(growth_rate(X0,X1),zero)
| ~ greater(zero,growth_rate(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).
fof(f23,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(subsumption_resolution,[],[f22,f12]) ).
fof(f22,plain,
( ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f20,f14]) ).
fof(f14,axiom,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_14) ).
fof(f20,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(f1,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_FM_and_EP_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/sandbox/benchmark/theBenchmark.p',d2_8) ).
fof(f43,plain,
! [X0] :
( ~ in_environment(X0,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f42,f11]) ).
fof(f11,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_11) ).
fof(f42,plain,
! [X0,X1] :
( ~ greater(resilience(efficient_producers),resilience(X1))
| ~ in_environment(X0,sk2)
| greater(zero,growth_rate(X1,sk2)) ),
inference(resolution,[],[f41,f30]) ).
fof(f30,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(subsumption_resolution,[],[f29,f12]) ).
fof(f29,plain,
( ~ environment(sk1)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(subsumption_resolution,[],[f26,f14]) ).
fof(f26,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/sandbox/benchmark/theBenchmark.p',d2_9) ).
fof(f41,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,[],[f10,f32]) ).
fof(f32,plain,
! [X0] : environment(X0),
inference(resolution,[],[f30,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ greater(zero,growth_rate(X1,X2))
| environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).
fof(f10,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/sandbox/benchmark/theBenchmark.p',a12_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : MGT036-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.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 03:33:04 EDT 2024
% 0.22/0.36 % CPUTime :
% 0.22/0.37 % (5685)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (5686)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (5687)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (5688)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 % (5689)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (5690)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (5691)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (5692)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 % (5690)First to succeed.
% 0.22/0.38 TRYING [1]
% 0.22/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.22/0.38 Detected maximum model sizes of [2,max,1,1]
% 0.22/0.38 TRYING [1,1,1,1]
% 0.22/0.38 Detected minimum model sizes of [1,1,1,1]
% 0.22/0.38 Detected maximum model sizes of [2,max,1,1]
% 0.22/0.39 TRYING [1,1,1,1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [1,2,1,1]
% 0.22/0.39 % (5691)Also succeeded, but the first one will report.
% 0.22/0.39 TRYING [1,2,1,1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2,2,1,1]
% 0.22/0.39 TRYING [2,2,1,1]
% 0.22/0.39 % (5690)Refutation found. Thanks to Tanya!
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.39 % (5690)------------------------------
% 0.22/0.39 % (5690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.39 % (5690)Termination reason: Refutation
% 0.22/0.39
% 0.22/0.39 % (5690)Memory used [KB]: 751
% 0.22/0.39 % (5690)Time elapsed: 0.003 s
% 0.22/0.39 % (5690)Instructions burned: 3 (million)
% 0.22/0.39 % (5690)------------------------------
% 0.22/0.39 % (5690)------------------------------
% 0.22/0.39 % (5685)Success in time 0.019 s
%------------------------------------------------------------------------------