TSTP Solution File: MGT023-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT023-1 : 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 : n028.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 17:51:25 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 23 ( 6 unt; 0 def)
% Number of atoms : 92 ( 15 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 127 ( 58 ~; 69 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,plain,
$false,
inference(subsumption_resolution,[],[f48,f7]) ).
fof(f7,axiom,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_23) ).
fof(f48,plain,
~ environment(sk3),
inference(subsumption_resolution,[],[f47,f8]) ).
fof(f8,axiom,
stable(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_24) ).
fof(f47,plain,
( ~ stable(sk3)
| ~ environment(sk3) ),
inference(subsumption_resolution,[],[f44,f9]) ).
fof(f9,axiom,
~ in_environment(sk3,critical_point(sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_25) ).
fof(f44,plain,
( in_environment(sk3,critical_point(sk3))
| ~ stable(sk3)
| ~ environment(sk3) ),
inference(superposition,[],[f4,f38]) ).
fof(f38,plain,
critical_point(sk3) = sk2(sk3),
inference(subsumption_resolution,[],[f37,f7]) ).
fof(f37,plain,
( ~ environment(sk3)
| critical_point(sk3) = sk2(sk3) ),
inference(resolution,[],[f34,f8]) ).
fof(f34,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| critical_point(X0) = sk2(X0) ),
inference(subsumption_resolution,[],[f33,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_21) ).
fof(f33,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| critical_point(X0) = sk2(X0)
| ~ stable(X0) ),
inference(subsumption_resolution,[],[f32,f4]) ).
fof(f32,plain,
! [X0] :
( ~ in_environment(X0,sk2(X0))
| ~ environment(X0)
| ~ stable(X0)
| critical_point(X0) = sk2(X0)
| greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
inference(duplicate_literal_removal,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sk2(X0))
| greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| critical_point(X0) = sk2(X0)
| ~ environment(X0)
| ~ environment(X0)
| critical_point(X0) = sk2(X0)
| ~ stable(X0)
| ~ in_environment(X0,sk2(X0))
| ~ stable(X0) ),
inference(resolution,[],[f25,f11]) ).
fof(f11,plain,
! [X0,X1] :
( greater(sk1(sk2(X0),X1),sk2(X0))
| ~ environment(X0)
| ~ in_environment(X1,sk2(X0))
| sk2(X0) = critical_point(X1)
| ~ stable(X0)
| ~ environment(X1) ),
inference(resolution,[],[f2,f5]) ).
fof(f2,axiom,
! [X0,X1] :
( greater(sk1(X1,X0),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| critical_point(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_18) ).
fof(f25,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(sk1(X0,X1),sk2(X1))
| ~ stable(X1)
| ~ in_environment(X1,X0)
| ~ environment(X1)
| critical_point(X1) = X0 ),
inference(duplicate_literal_removal,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| critical_point(X1) = X0
| ~ environment(X1)
| ~ stable(X1)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(X1,X0)
| ~ greater(sk1(X0,X1),sk2(X1))
| ~ in_environment(X1,X0)
| critical_point(X1) = X0
| ~ environment(X1)
| ~ environment(X1) ),
inference(resolution,[],[f19,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_17) ).
fof(f19,plain,
! [X8,X6,X7] :
( ~ subpopulations(first_movers,efficient_producers,X8,sk1(X6,X7))
| greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6))
| ~ in_environment(X7,X6)
| critical_point(X7) = X6
| ~ environment(X8)
| ~ greater(sk1(X6,X7),sk2(X8))
| ~ environment(X7)
| ~ stable(X8) ),
inference(resolution,[],[f3,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(X1,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_22) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_19) ).
fof(f4,axiom,
! [X0] :
( in_environment(X0,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l12_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT023-1 : 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
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 03:23:03 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.52 % (3115)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53 % (3115)First to succeed.
% 0.20/0.53 % (3140)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (3132)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (3123)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (3115)Refutation found. Thanks to Tanya!
% 0.20/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53 % (3115)------------------------------
% 0.20/0.53 % (3115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (3115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (3115)Termination reason: Refutation
% 0.20/0.53
% 0.20/0.53 % (3115)Memory used [KB]: 5500
% 0.20/0.53 % (3115)Time elapsed: 0.129 s
% 0.20/0.53 % (3115)Instructions burned: 3 (million)
% 0.20/0.53 % (3115)------------------------------
% 0.20/0.53 % (3115)------------------------------
% 0.20/0.53 % (3108)Success in time 0.182 s
%------------------------------------------------------------------------------