TSTP Solution File: MGT028-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT028-1 : 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 : n009.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 00:42:45 EDT 2024
% Result : Unsatisfiable 0.14s 0.40s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 9 unt; 0 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 230 ( 101 ~; 129 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f78,plain,
$false,
inference(subsumption_resolution,[],[f77,f35]) ).
fof(f35,plain,
greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(subsumption_resolution,[],[f34,f10]) ).
fof(f10,axiom,
environment(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_10) ).
fof(f34,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4) ),
inference(subsumption_resolution,[],[f33,f16]) ).
fof(f16,plain,
in_environment(sk4,sk3(sk4)),
inference(subsumption_resolution,[],[f15,f10]) ).
fof(f15,plain,
( ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(resolution,[],[f7,f11]) ).
fof(f11,axiom,
stable(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_11) ).
fof(f7,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l11_7) ).
fof(f33,plain,
( ~ in_environment(sk4,sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4) ),
inference(subsumption_resolution,[],[f32,f11]) ).
fof(f32,plain,
( ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4) ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f31,plain,
( ~ stable(sk4)
| ~ in_environment(sk4,sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ environment(sk4)
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[],[f5,f27]) ).
fof(f27,plain,
( greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(subsumption_resolution,[],[f26,f19]) ).
fof(f19,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(subsumption_resolution,[],[f18,f10]) ).
fof(f18,plain,
( ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(subsumption_resolution,[],[f17,f11]) ).
fof(f17,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[],[f2,f16]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0)
| greater_or_equal(sk1(X1,X0),X1)
| greater(sk2(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).
fof(f26,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f25,f10]) ).
fof(f25,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f23,f11]) ).
fof(f23,plain,
( greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ stable(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[],[f22,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ greater_or_equal(X1,sk3(X0))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l11_9) ).
fof(f22,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(subsumption_resolution,[],[f21,f10]) ).
fof(f21,plain,
( ~ environment(sk4)
| greater(sk2(sk4),appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(subsumption_resolution,[],[f20,f11]) ).
fof(f20,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| greater(sk2(sk4),appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolution,[],[f1,f16]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ stable(X0)
| ~ in_environment(X0,X1)
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).
fof(f77,plain,
~ greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(resolution,[],[f76,f14]) ).
fof(f14,axiom,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_14) ).
fof(f76,plain,
greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))),
inference(subsumption_resolution,[],[f75,f16]) ).
fof(f75,plain,
( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,sk3(sk4)) ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f73,plain,
( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,sk3(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[],[f72,f62]) ).
fof(f62,plain,
( greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(subsumption_resolution,[],[f61,f54]) ).
fof(f54,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[],[f48,f16]) ).
fof(f48,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(subsumption_resolution,[],[f47,f11]) ).
fof(f47,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(subsumption_resolution,[],[f46,f37]) ).
fof(f37,plain,
greater_or_equal(sk5(sk2(sk4)),sk2(sk4)),
inference(resolution,[],[f35,f13]) ).
fof(f13,axiom,
! [X0] :
( ~ greater(X0,appear(efficient_producers,sk4))
| greater_or_equal(sk5(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_13) ).
fof(f46,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(subsumption_resolution,[],[f45,f10]) ).
fof(f45,plain,
! [X0] :
( ~ environment(sk4)
| ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| greater_or_equal(sk1(X0,sk4),X0) ),
inference(resolution,[],[f4,f36]) ).
fof(f36,plain,
subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))),
inference(resolution,[],[f35,f12]) ).
fof(f12,axiom,
! [X0] :
( ~ greater(X0,appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l10_12) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X2,sk2(X0))
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X2))
| greater_or_equal(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).
fof(f61,plain,
( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f60,f10]) ).
fof(f60,plain,
( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f58,f11]) ).
fof(f58,plain,
( greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ stable(sk4)
| ~ greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ environment(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[],[f55,f9]) ).
fof(f55,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4)))) ),
inference(resolution,[],[f53,f16]) ).
fof(f53,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) ),
inference(subsumption_resolution,[],[f52,f11]) ).
fof(f52,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) ),
inference(subsumption_resolution,[],[f51,f37]) ).
fof(f51,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) ),
inference(subsumption_resolution,[],[f50,f10]) ).
fof(f50,plain,
! [X0] :
( ~ environment(sk4)
| ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) ),
inference(resolution,[],[f3,f36]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X2,sk2(X0))
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).
fof(f72,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4)))
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ in_environment(sk4,X0) ),
inference(subsumption_resolution,[],[f71,f11]) ).
fof(f71,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4))) ),
inference(subsumption_resolution,[],[f70,f37]) ).
fof(f70,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4))) ),
inference(subsumption_resolution,[],[f69,f10]) ).
fof(f69,plain,
! [X0] :
( ~ environment(sk4)
| ~ in_environment(sk4,X0)
| ~ greater_or_equal(sk5(sk2(sk4)),sk2(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(sk2(sk4))))
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk4))) ),
inference(resolution,[],[f6,f36]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X2,sk2(X0))
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X2))
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT028-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n009.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 : Sun May 19 00:07:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (20036)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (20037)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 % (20038)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (20039)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)
% 0.14/0.39 % (20040)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (20041)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (20042)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (20043)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)
% 0.14/0.39 % (20041)First to succeed.
% 0.14/0.39 % (20042)Also succeeded, but the first one will report.
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.40 Detected minimum model sizes of [1,1,1,1,1,1]
% 0.14/0.40 Detected maximum model sizes of [1,1,max,max,1,max]
% 0.14/0.40 % (20041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20036"
% 0.14/0.40 Detected minimum model sizes of [1,1,1,1,1,1]
% 0.14/0.40 Detected maximum model sizes of [1,1,max,max,1,max]
% 0.14/0.40 TRYING [1,1,1,1,1,1]
% 0.14/0.40 TRYING [1,1,1,1,1,1]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [2]
% 0.14/0.40 TRYING [1,1,1,1,1,2]
% 0.14/0.40 % (20041)Refutation found. Thanks to Tanya!
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.40 % (20041)------------------------------
% 0.14/0.40 % (20041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.40 % (20041)Termination reason: Refutation
% 0.14/0.40
% 0.14/0.40 % (20041)Memory used [KB]: 756
% 0.14/0.40 % (20041)Time elapsed: 0.007 s
% 0.14/0.40 % (20041)Instructions burned: 5 (million)
% 0.14/0.40 % (20036)Success in time 0.037 s
%------------------------------------------------------------------------------