TSTP Solution File: MGT022-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT022-2 : 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 : 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 : Sun May 5 07:57:06 EDT 2024
% Result : Unsatisfiable 0.16s 0.39s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 8 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 25 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,plain,
$false,
inference(subsumption_resolution,[],[f24,f17]) ).
fof(f17,plain,
constant(resources(sk1,sk2)),
inference(subsumption_resolution,[],[f16,f9]) ).
fof(f9,axiom,
( ~ increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_9) ).
fof(f16,plain,
( increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| constant(resources(sk1,sk2)) ),
inference(resolution,[],[f15,f7]) ).
fof(f7,axiom,
( decreases(resources(sk1,sk2))
| constant(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_7) ).
fof(f15,plain,
( ~ decreases(resources(sk1,sk2))
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subsumption_resolution,[],[f14,f5]) ).
fof(f5,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_5) ).
fof(f14,plain,
( ~ decreases(resources(sk1,sk2))
| ~ environment(sk1)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subsumption_resolution,[],[f13,f4]) ).
fof(f4,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_4) ).
fof(f13,plain,
( ~ decreases(resources(sk1,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ environment(sk1)
| increases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[],[f2,f6]) ).
fof(f6,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_6) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ decreases(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ environment(X0)
| increases(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_2) ).
fof(f24,plain,
~ constant(resources(sk1,sk2)),
inference(resolution,[],[f22,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ decreases(X0)
| ~ constant(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_constant_not_decrease_1) ).
fof(f22,plain,
decreases(resources(sk1,sk2)),
inference(resolution,[],[f21,f12]) ).
fof(f12,plain,
( ~ constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
inference(resolution,[],[f8,f1]) ).
fof(f8,axiom,
( decreases(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)))
| decreases(resources(sk1,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l4_8) ).
fof(f21,plain,
constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))),
inference(subsumption_resolution,[],[f20,f5]) ).
fof(f20,plain,
( ~ environment(sk1)
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subsumption_resolution,[],[f19,f4]) ).
fof(f19,plain,
( ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ environment(sk1)
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(subsumption_resolution,[],[f18,f17]) ).
fof(f18,plain,
( ~ constant(resources(sk1,sk2))
| ~ greater(resilience(efficient_producers),resilience(first_movers))
| ~ environment(sk1)
| constant(difference(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))) ),
inference(resolution,[],[f3,f6]) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ constant(resources(X0,X3))
| ~ greater(resilience(X2),resilience(X1))
| ~ environment(X0)
| constant(difference(disbanding_rate(X1,X3),disbanding_rate(X2,X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT022-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n026.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:03:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (5740)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (5746)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.39 % (5744)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.39 % (5747)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)
% 0.16/0.39 % (5745)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.39 % (5743)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)
% 0.16/0.39 % (5742)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.39 % (5741)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 % (5745)First to succeed.
% 0.16/0.39 % (5746)Also succeeded, but the first one will report.
% 0.16/0.39 TRYING [1]
% 0.16/0.39 % (5745)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5740"
% 0.16/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.16/0.39 Detected maximum model sizes of [max,2,1,1]
% 0.16/0.39 TRYING [1]
% 0.16/0.39 Detected minimum model sizes of [1,1,1,1]
% 0.16/0.39 % (5743)Also succeeded, but the first one will report.
% 0.16/0.39 TRYING [1,1,1,1]
% 0.16/0.39 Detected maximum model sizes of [max,2,1,1]
% 0.16/0.39 TRYING [1,1,1,1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [2,1,1,1]
% 0.16/0.39 TRYING [2,1,1,1]
% 0.16/0.39 % (5745)Refutation found. Thanks to Tanya!
% 0.16/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.39 % (5745)------------------------------
% 0.16/0.39 % (5745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.39 % (5745)Termination reason: Refutation
% 0.16/0.39
% 0.16/0.39 % (5745)Memory used [KB]: 747
% 0.16/0.39 % (5745)Time elapsed: 0.004 s
% 0.16/0.39 % (5745)Instructions burned: 3 (million)
% 0.16/0.39 % (5740)Success in time 0.01 s
%------------------------------------------------------------------------------