TSTP Solution File: MGT036-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT036-1 : 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 : n014.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 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of formulae : 42 ( 10 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 120 ( 63 ~; 54 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 4 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[f21,f45,f60,f76]) ).
fof(f76,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f74,f23]) ).
fof(f23,plain,
in_environment(sk1,sk2),
inference(subsumption_resolution,[],[f22,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_12) ).
fof(f22,plain,
( ~ environment(sk1)
| in_environment(sk1,sk2) ),
inference(resolution,[],[f2,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_13) ).
fof(f2,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur_2) ).
fof(f74,plain,
( ! [X0] : ~ in_environment(X0,sk2)
| ~ spl0_1
| ~ spl0_5 ),
inference(subsumption_resolution,[],[f73,f46]) ).
fof(f46,plain,
~ greater(zero,growth_rate(first_movers,sk2)),
inference(resolution,[],[f5,f39]) ).
fof(f39,plain,
greater_or_equal(growth_rate(first_movers,sk2),zero),
inference(subsumption_resolution,[],[f38,f14]) ).
fof(f14,axiom,
outcompetes(first_movers,efficient_producers,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_14) ).
fof(f38,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| greater_or_equal(growth_rate(first_movers,sk2),zero) ),
inference(subsumption_resolution,[],[f27,f12]) ).
fof(f27,plain,
( ~ environment(sk1)
| greater_or_equal(growth_rate(first_movers,sk2),zero)
| ~ outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[],[f8,f25]) ).
fof(f25,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(subsumption_resolution,[],[f24,f12]) ).
fof(f24,plain,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[],[f1,f13]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| subpopulations(efficient_producers,first_movers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_FM_and_EP_1) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| ~ outcompetes(X2,X1,X3)
| greater_or_equal(growth_rate(X2,X3),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_8) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater_or_equal(growth_rate(X0,X1),zero)
| ~ greater(zero,growth_rate(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_5) ).
fof(f73,plain,
( ! [X0] :
( ~ in_environment(X0,sk2)
| greater(zero,growth_rate(first_movers,sk2)) )
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f61,f57]) ).
fof(f57,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f55,plain,
( spl0_5
<=> greater(zero,growth_rate(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f61,plain,
( ! [X0,X1] :
( ~ greater(zero,growth_rate(efficient_producers,X0))
| greater(zero,growth_rate(first_movers,X0))
| ~ in_environment(X1,X0) )
| ~ spl0_1 ),
inference(resolution,[],[f59,f11]) ).
fof(f11,axiom,
greater(resilience(efficient_producers),resilience(first_movers)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_11) ).
fof(f59,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(resilience(X3),resilience(X2))
| ~ greater(zero,growth_rate(X3,X1))
| ~ in_environment(X0,X1)
| greater(zero,growth_rate(X2,X1)) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f10,f17]) ).
fof(f17,plain,
( ! [X0] : environment(X0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f16,plain,
( spl0_1
<=> ! [X0] : environment(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X3,X1))
| ~ environment(X0)
| ~ greater(resilience(X3),resilience(X2))
| greater(zero,growth_rate(X2,X1))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a12_10) ).
fof(f60,plain,
( spl0_5
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f50,f16,f55]) ).
fof(f50,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f49,f14]) ).
fof(f49,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ spl0_1 ),
inference(resolution,[],[f47,f25]) ).
fof(f47,plain,
( ! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| greater(zero,growth_rate(X1,X3))
| ~ outcompetes(X2,X1,X3) )
| ~ spl0_1 ),
inference(subsumption_resolution,[],[f9,f17]) ).
fof(f9,axiom,
! [X2,X3,X0,X1] :
( greater(zero,growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| ~ outcompetes(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_9) ).
fof(f45,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f43,f12]) ).
fof(f43,plain,
( ~ environment(sk1)
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f42,f14]) ).
fof(f42,plain,
( ~ outcompetes(first_movers,efficient_producers,sk2)
| ~ environment(sk1)
| ~ spl0_2 ),
inference(resolution,[],[f40,f25]) ).
fof(f40,plain,
( ! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| ~ outcompetes(X2,X1,X3) )
| ~ spl0_2 ),
inference(subsumption_resolution,[],[f9,f20]) ).
fof(f20,plain,
( ! [X2,X1] : ~ greater(zero,growth_rate(X1,X2))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f19,plain,
( spl0_2
<=> ! [X2,X1] : ~ greater(zero,growth_rate(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f21,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3,f19,f16]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ greater(zero,growth_rate(X1,X2))
| environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate_relationships_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : MGT036-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:18:33 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (23797)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)
% 0.19/0.46 % (23789)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.46 % (23789)First to succeed.
% 0.19/0.46 % (23789)Refutation found. Thanks to Tanya!
% 0.19/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46 % (23789)------------------------------
% 0.19/0.46 % (23789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46 % (23789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46 % (23789)Termination reason: Refutation
% 0.19/0.46
% 0.19/0.46 % (23789)Memory used [KB]: 5373
% 0.19/0.46 % (23789)Time elapsed: 0.067 s
% 0.19/0.46 % (23789)Instructions burned: 2 (million)
% 0.19/0.46 % (23789)------------------------------
% 0.19/0.46 % (23789)------------------------------
% 0.19/0.46 % (23781)Success in time 0.116 s
%------------------------------------------------------------------------------