TSTP Solution File: MGT036-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Fri Sep 1 19:45:19 EDT 2023
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 38 ( 22 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 10 (; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,plain,
$false,
inference(subsumption_resolution,[],[f26,f5]) ).
fof(f5,axiom,
environment(sk1),
file('/export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633',a13_star_5) ).
fof(f26,plain,
~ environment(sk1),
inference(subsumption_resolution,[],[f25,f7]) ).
fof(f7,axiom,
greater_or_equal(growth_rate(first_movers,sk2),zero),
file('/export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633',a13_star_7) ).
fof(f25,plain,
( ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(subsumption_resolution,[],[f24,f8]) ).
fof(f8,axiom,
greater(zero,growth_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633',a13_star_8) ).
fof(f24,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(subsumption_resolution,[],[f22,f11]) ).
fof(f11,plain,
~ outcompetes(first_movers,efficient_producers,sk2),
inference(subsumption_resolution,[],[f10,f5]) ).
fof(f10,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1) ),
inference(resolution,[],[f9,f6]) ).
fof(f6,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633',a13_star_6) ).
fof(f9,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ outcompetes(first_movers,efficient_producers,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633',prove_t5_star_9) ).
fof(f22,plain,
( outcompetes(first_movers,efficient_producers,sk2)
| ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(subsumption_resolution,[],[f12,f5]) ).
fof(f12,plain,
( ~ environment(sk1)
| subpopulations(efficient_producers,first_movers,sk1,sk2) ),
inference(resolution,[],[f1,f6]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| subpopulations(X2,X1,X0,X3) ),
file('/export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633',mp_symmetry_of_subpopulations_1) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| outcompetes(X2,X1,X3)
| ~ greater(zero,growth_rate(X1,X3))
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633',d2_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT036-3 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n005.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 : Wed Aug 30 16:59:23 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.42 % (1960)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (1964)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42 Detected minimum model sizes of [1,1,1,1,1]
% 0.22/0.42 Detected maximum model sizes of [max,2,1,1,1]
% 0.22/0.42 % (1961)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42 TRYING [1,1,1,1,1]
% 0.22/0.42 % (1962)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42 TRYING [2,1,1,1,1]
% 0.22/0.42 % (1965)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.22/0.42 % (1963)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 Vampire---4 for (476ds/0Mi)
% 0.22/0.42 TRYING [3,1,1,1,1]
% 0.22/0.42 % (1966)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.22/0.42 % (1967)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.22/0.42 TRYING [2,2,1,1,1]
% 0.22/0.42 TRYING [3,2,1,1,1]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 % (1965)First to succeed.
% 0.22/0.42 TRYING [2]
% 0.22/0.42 Detected minimum model sizes of [1,1,1,1,1]
% 0.22/0.42 Detected maximum model sizes of [max,2,1,1,1]
% 0.22/0.42 TRYING [4,2,1,1,1]
% 0.22/0.42 TRYING [1,1,1,1,1]
% 0.22/0.42 TRYING [2,1,1,1,1]
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 Cannot enumerate next child to try in an incomplete setup
% 0.22/0.42 % (1964)Refutation not found, incomplete strategy% (1964)------------------------------
% 0.22/0.42 % (1964)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (1964)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (1964)Termination reason: Refutation not found, incomplete strategy
% 0.22/0.42
% 0.22/0.42 % (1964)Memory used [KB]: 5373
% 0.22/0.42 % (1964)Time elapsed: 0.004 s
% 0.22/0.42 % (1964)------------------------------
% 0.22/0.42 % (1964)------------------------------
% 0.22/0.42 % (1966)Also succeeded, but the first one will report.
% 0.22/0.42 TRYING [3,1,1,1,1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [2,2,1,1,1]
% 0.22/0.42 TRYING [3]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [3,2,1,1,1]
% 0.22/0.42 % (1963)Also succeeded, but the first one will report.
% 0.22/0.42 % (1965)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42 % (1965)------------------------------
% 0.22/0.42 % (1965)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (1965)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (1965)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (1965)Memory used [KB]: 895
% 0.22/0.42 % (1965)Time elapsed: 0.003 s
% 0.22/0.42 % (1965)------------------------------
% 0.22/0.42 % (1965)------------------------------
% 0.22/0.42 % (1960)Success in time 0.06 s
% 0.22/0.42 terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.22/0.42 1960 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.BrEbCfR3fa/Vampire---4.8_1633
% 0.22/0.42 % (1960)------------------------------
% 0.22/0.42 % (1960)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42 % (1960)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42 % (1960)Termination reason: Unknown
% 0.22/0.42 % (1960)Termination phase: Unknown
% 0.22/0.42
% 0.22/0.42 % (1960)Memory used [KB]: 511
% 0.22/0.42 % (1960)Time elapsed: 0.060 s
% 0.22/0.42 % (1960)------------------------------
% 0.22/0.42 % (1960)------------------------------
% 0.22/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------