TSTP Solution File: MGT036-3 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT036-3 : 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 : n011.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 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% 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 : 37 ( 21 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 14 ( 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,plain,
$false,
inference(subsumption_resolution,[],[f38,f5]) ).
fof(f5,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_5) ).
fof(f38,plain,
~ environment(sk1),
inference(resolution,[],[f37,f13]) ).
fof(f13,plain,
subpopulations(efficient_producers,first_movers,sk1,sk2),
inference(subsumption_resolution,[],[f12,f5]) ).
fof(f12,plain,
( subpopulations(efficient_producers,first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[],[f1,f6]) ).
fof(f6,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_6) ).
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| subpopulations(X2,X1,X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_symmetry_of_subpopulations_1) ).
fof(f37,plain,
! [X0] :
( ~ subpopulations(efficient_producers,first_movers,X0,sk2)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f36,f11]) ).
fof(f11,plain,
~ outcompetes(first_movers,efficient_producers,sk2),
inference(subsumption_resolution,[],[f10,f5]) ).
fof(f10,plain,
( ~ environment(sk1)
| ~ outcompetes(first_movers,efficient_producers,sk2) ),
inference(resolution,[],[f9,f6]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ outcompetes(first_movers,efficient_producers,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t5_star_9) ).
fof(f36,plain,
! [X0] :
( outcompetes(first_movers,efficient_producers,sk2)
| ~ subpopulations(efficient_producers,first_movers,X0,sk2)
| ~ environment(X0) ),
inference(resolution,[],[f35,f7]) ).
fof(f7,axiom,
greater_or_equal(growth_rate(first_movers,sk2),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_7) ).
fof(f35,plain,
! [X0,X1] :
( ~ greater_or_equal(growth_rate(X1,sk2),zero)
| outcompetes(X1,efficient_producers,sk2)
| ~ environment(X0)
| ~ subpopulations(efficient_producers,X1,X0,sk2) ),
inference(resolution,[],[f2,f8]) ).
fof(f8,axiom,
greater(zero,growth_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a13_star_8) ).
fof(f2,axiom,
! [X2,X3,X0,X1] :
( ~ greater(zero,growth_rate(X1,X3))
| ~ environment(X0)
| ~ greater_or_equal(growth_rate(X2,X3),zero)
| ~ subpopulations(X1,X2,X0,X3)
| outcompetes(X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT036-3 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 03:15:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.49 % (15357)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.50 % (15364)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (15364)First to succeed.
% 0.18/0.50 % (15364)Refutation found. Thanks to Tanya!
% 0.18/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50 % (15364)------------------------------
% 0.18/0.50 % (15364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (15364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (15364)Termination reason: Refutation
% 0.18/0.50
% 0.18/0.50 % (15364)Memory used [KB]: 5373
% 0.18/0.50 % (15364)Time elapsed: 0.102 s
% 0.18/0.50 % (15364)Instructions burned: 1 (million)
% 0.18/0.50 % (15364)------------------------------
% 0.18/0.50 % (15364)------------------------------
% 0.18/0.50 % (15356)Success in time 0.157 s
%------------------------------------------------------------------------------