TSTP Solution File: MGT036-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT036-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n029.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 : Wed Aug 31 17:51:31 EDT 2022
% Result : Unsatisfiable 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% 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 : 64 ( 34 ~; 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 : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,plain,
$false,
inference(resolution,[],[f46,f17]) ).
fof(f17,plain,
in_environment(sk1,sk2),
inference(resolution,[],[f16,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_13) ).
fof(f16,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| in_environment(sk1,X0) ),
inference(resolution,[],[f2,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_12) ).
fof(f2,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
fof(f46,plain,
! [X0] : ~ in_environment(X0,sk2),
inference(subsumption_resolution,[],[f45,f35]) ).
fof(f35,plain,
! [X4] : environment(X4),
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(f30,plain,
greater(zero,growth_rate(efficient_producers,sk2)),
inference(subsumption_resolution,[],[f29,f19]) ).
fof(f19,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(resolution,[],[f18,f13]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ~ subpopulations(X1,X0,sk1,X2)
| subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[],[f1,f12]) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| subpopulations(X2,X1,X0,X3)
| ~ subpopulations(X1,X2,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).
fof(f29,plain,
( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| greater(zero,growth_rate(efficient_producers,sk2)) ),
inference(resolution,[],[f24,f14]) ).
fof(f14,axiom,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_t5_14) ).
fof(f24,plain,
! [X2,X0,X1] :
( ~ outcompetes(X1,X0,X2)
| greater(zero,growth_rate(X0,X2))
| ~ subpopulations(X0,X1,sk1,X2) ),
inference(resolution,[],[f9,f12]) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ subpopulations(X1,X2,X0,X3)
| ~ outcompetes(X2,X1,X3)
| greater(zero,growth_rate(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_9) ).
fof(f45,plain,
! [X0] :
( ~ in_environment(X0,sk2)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f44,f26]) ).
fof(f26,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,f19]) ).
fof(f22,plain,
( ~ subpopulations(efficient_producers,first_movers,sk1,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(resolution,[],[f21,f14]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ outcompetes(X0,X1,X2)
| ~ subpopulations(X1,X0,sk1,X2)
| greater_or_equal(growth_rate(X0,X2),zero) ),
inference(resolution,[],[f8,f12]) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ outcompetes(X2,X1,X3)
| greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_8) ).
fof(f44,plain,
! [X0] :
( ~ in_environment(X0,sk2)
| greater(zero,growth_rate(first_movers,sk2))
| ~ environment(X0) ),
inference(resolution,[],[f33,f10]) ).
fof(f10,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_10) ).
fof(f33,plain,
! [X0,X1] :
( ~ greater(resilience(efficient_producers),resilience(X0))
| greater(zero,growth_rate(X0,sk2))
| ~ environment(X1)
| ~ in_environment(X1,sk2) ),
inference(resolution,[],[f30,f11]) ).
fof(f11,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a13_11) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT036-2 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n029.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/0.35 % CPULimit : 300
% 0.20/0.35 % WCLimit : 300
% 0.20/0.35 % DateTime : Tue Aug 30 03:27:26 EDT 2022
% 0.20/0.35 % CPUTime :
% 0.20/0.55 % (10665)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55 % (10657)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 % (10657)First to succeed.
% 0.20/0.56 % (10648)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (10665)Also succeeded, but the first one will report.
% 0.20/0.56 % (10657)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57 % (10657)------------------------------
% 0.20/0.57 % (10657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (10657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (10657)Termination reason: Refutation
% 0.20/0.57
% 0.20/0.57 % (10657)Memory used [KB]: 895
% 0.20/0.57 % (10657)Time elapsed: 0.075 s
% 0.20/0.57 % (10657)Instructions burned: 2 (million)
% 0.20/0.57 % (10657)------------------------------
% 0.20/0.57 % (10657)------------------------------
% 0.20/0.57 % (10641)Success in time 0.208 s
%------------------------------------------------------------------------------