TSTP Solution File: MGT024-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT024-1 : 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 : 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 : Sun May 5 07:57:07 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 16 unt; 0 def)
% Number of atoms : 157 ( 31 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 164 ( 62 ~; 102 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f82,plain,
$false,
inference(subsumption_resolution,[],[f81,f75]) ).
fof(f75,plain,
greater(zero,zero),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f74,plain,
( greater(zero,zero)
| greater(zero,zero) ),
inference(forward_demodulation,[],[f73,f56]) ).
fof(f56,plain,
zero = growth_rate(first_movers,sk2),
inference(subsumption_resolution,[],[f55,f51]) ).
fof(f51,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| zero = growth_rate(first_movers,sk2) ),
inference(resolution,[],[f50,f21]) ).
fof(f21,axiom,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_44) ).
fof(f50,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| zero = growth_rate(first_movers,sk2) ),
inference(subsumption_resolution,[],[f49,f46]) ).
fof(f46,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| zero = growth_rate(first_movers,sk2) ),
inference(resolution,[],[f45,f20]) ).
fof(f20,axiom,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_43) ).
fof(f45,plain,
( greater(growth_rate(first_movers,sk2),zero)
| zero = growth_rate(first_movers,sk2) ),
inference(subsumption_resolution,[],[f44,f41]) ).
fof(f41,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f40,f21]) ).
fof(f40,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| greater(growth_rate(first_movers,sk2),zero)
| zero = growth_rate(first_movers,sk2) ),
inference(subsumption_resolution,[],[f39,f16]) ).
fof(f16,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_39) ).
fof(f39,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subsumption_resolution,[],[f38,f36]) ).
fof(f36,plain,
constant(number_of_organizations(sk1,sk2)),
inference(unit_resulting_resolution,[],[f16,f22,f33,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6_30) ).
fof(f33,plain,
constant(resources(sk1,sk2)),
inference(unit_resulting_resolution,[],[f16,f22,f24,f26,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(number_of_organizations(X0,X1),zero)
| ~ in_environment(X0,X1)
| constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_28) ).
fof(f26,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(unit_resulting_resolution,[],[f16,f17,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_of_organizations_25) ).
fof(f17,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_40) ).
fof(f24,plain,
~ greater(equilibrium(sk1),sk2),
inference(unit_resulting_resolution,[],[f16,f18,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,equilibrium(X0))
| ~ environment(X0)
| ~ greater(equilibrium(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_equilibrium_26) ).
fof(f18,axiom,
greater_or_equal(sk2,equilibrium(sk1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_41) ).
fof(f22,plain,
in_environment(sk1,sk2),
inference(unit_resulting_resolution,[],[f16,f17,f1]) ).
fof(f1,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_24) ).
fof(f38,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f8,f17]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_31) ).
fof(f44,plain,
( zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f43,f16]) ).
fof(f43,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f42,f36]) ).
fof(f42,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f9,f17]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_32) ).
fof(f49,plain,
( zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subsumption_resolution,[],[f48,f16]) ).
fof(f48,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(subsumption_resolution,[],[f47,f36]) ).
fof(f47,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f10,f17]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_33) ).
fof(f55,plain,
( zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f54,f46]) ).
fof(f54,plain,
( zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f53,f16]) ).
fof(f53,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(subsumption_resolution,[],[f52,f36]) ).
fof(f52,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f11,f17]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_34) ).
fof(f73,plain,
( greater(zero,zero)
| greater(growth_rate(first_movers,sk2),zero) ),
inference(forward_demodulation,[],[f72,f56]) ).
fof(f72,plain,
( greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f71,f57]) ).
fof(f57,plain,
zero != growth_rate(efficient_producers,sk2),
inference(unit_resulting_resolution,[],[f56,f19]) ).
fof(f19,axiom,
( zero != growth_rate(efficient_producers,sk2)
| zero != growth_rate(first_movers,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6_42) ).
fof(f71,plain,
( zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f70,f16]) ).
fof(f70,plain,
( ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f69,f36]) ).
fof(f69,plain,
( ~ constant(number_of_organizations(sk1,sk2))
| ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| greater(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f13,f17]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_36) ).
fof(f81,plain,
~ greater(zero,zero),
inference(forward_demodulation,[],[f79,f56]) ).
fof(f79,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(unit_resulting_resolution,[],[f77,f21]) ).
fof(f77,plain,
greater(growth_rate(efficient_producers,sk2),zero),
inference(unit_resulting_resolution,[],[f16,f36,f17,f76,f57,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7_37) ).
fof(f76,plain,
~ greater(zero,growth_rate(efficient_producers,sk2)),
inference(unit_resulting_resolution,[],[f75,f61]) ).
fof(f61,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(zero,zero) ),
inference(superposition,[],[f20,f56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.14 % 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 : Fri May 3 20:03:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (16586)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (16589)WARNING: value z3 for option sas not known
% 0.21/0.37 % (16588)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (16590)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (16587)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (16589)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (16591)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.37 % (16592)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.37 % (16593)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.38 % (16593)First to succeed.
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (16591)Also succeeded, but the first one will report.
% 0.21/0.38 % (16593)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16586"
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (16593)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (16593)------------------------------
% 0.21/0.38 % (16593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (16593)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (16593)Memory used [KB]: 766
% 0.21/0.38 % (16593)Time elapsed: 0.007 s
% 0.21/0.38 % (16593)Instructions burned: 7 (million)
% 0.21/0.38 % (16586)Success in time 0.018 s
%------------------------------------------------------------------------------