TSTP Solution File: MGT028-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT028-1 : 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_uns --cores 0 -t %d %s
% Computer : n026.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 17:50:58 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 58 ( 8 unt; 0 def)
% Number of atoms : 240 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 350 ( 168 ~; 182 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f85,plain,
$false,
inference(subsumption_resolution,[],[f84,f72]) ).
fof(f72,plain,
greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(resolution,[],[f70,f57]) ).
fof(f57,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f56,f11]) ).
fof(f11,axiom,
stable(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_11) ).
fof(f56,plain,
( ~ stable(sk4)
| ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f54,f10]) ).
fof(f10,axiom,
environment(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_10) ).
fof(f54,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4)
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[],[f53,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,sk3(X0))
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_9) ).
fof(f53,plain,
greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)),
inference(subsumption_resolution,[],[f52,f42]) ).
fof(f42,plain,
greater(sk2(sk4),appear(efficient_producers,sk4)),
inference(subsumption_resolution,[],[f41,f10]) ).
fof(f41,plain,
( ~ environment(sk4)
| greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[],[f40,f11]) ).
fof(f40,plain,
! [X0] :
( ~ stable(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f39,f33]) ).
fof(f33,plain,
! [X1] :
( ~ stable(X1)
| greater(zero,growth_rate(first_movers,sk1(sk3(X1),X1)))
| greater(sk2(X1),appear(efficient_producers,X1))
| ~ environment(X1) ),
inference(duplicate_literal_removal,[],[f31]) ).
fof(f31,plain,
! [X1] :
( greater(sk2(X1),appear(efficient_producers,X1))
| ~ environment(X1)
| greater(sk2(X1),appear(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,sk1(sk3(X1),X1)))
| ~ environment(X1)
| ~ stable(X1)
| ~ stable(X1) ),
inference(resolution,[],[f29,f26]) ).
fof(f26,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0)))
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0)))
| ~ subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(resolution,[],[f23,f9]) ).
fof(f23,plain,
! [X0] :
( greater_or_equal(sk1(sk3(X0),X0),sk3(X0))
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f22]) ).
fof(f22,plain,
! [X0] :
( ~ stable(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0)
| greater_or_equal(sk1(sk3(X0),X0),sk3(X0))
| ~ environment(X0) ),
inference(resolution,[],[f2,f7]) ).
fof(f7,axiom,
! [X0] :
( in_environment(X0,sk3(X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l11_7) ).
fof(f2,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater(sk2(X0),appear(efficient_producers,X0))
| greater_or_equal(sk1(X1,X0),X1)
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_2) ).
fof(f29,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f28,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ stable(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(resolution,[],[f1,f7]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_1) ).
fof(f39,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0)))
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ stable(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0)))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[],[f5,f7]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ stable(X0)
| greater(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_5) ).
fof(f52,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(duplicate_literal_removal,[],[f51]) ).
fof(f51,plain,
( ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(resolution,[],[f50,f13]) ).
fof(f13,axiom,
! [X0] :
( greater_or_equal(sk5(X0),X0)
| ~ greater(X0,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_13) ).
fof(f50,plain,
! [X0] :
( ~ greater_or_equal(sk5(X0),sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
inference(subsumption_resolution,[],[f49,f14]) ).
fof(f14,axiom,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_14) ).
fof(f49,plain,
! [X0] :
( greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ greater(X0,appear(efficient_producers,sk4))
| ~ greater_or_equal(sk5(X0),sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4)) ),
inference(subsumption_resolution,[],[f48,f11]) ).
fof(f48,plain,
! [X0] :
( ~ greater_or_equal(sk5(X0),sk2(sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ stable(sk4)
| greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
inference(subsumption_resolution,[],[f45,f10]) ).
fof(f45,plain,
! [X0] :
( ~ greater(X0,appear(efficient_producers,sk4))
| greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| greater(zero,growth_rate(first_movers,sk5(X0)))
| ~ environment(sk4)
| ~ greater_or_equal(sk5(X0),sk2(sk4))
| ~ stable(sk4) ),
inference(resolution,[],[f44,f12]) ).
fof(f12,axiom,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk4,sk5(X0))
| ~ greater(X0,appear(efficient_producers,sk4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l10_12) ).
fof(f44,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1))
| greater_or_equal(sk1(sk3(X0),X0),sk3(X0))
| ~ greater_or_equal(X1,sk2(X0)) ),
inference(duplicate_literal_removal,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( greater_or_equal(sk1(sk3(X0),X0),sk3(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ greater_or_equal(X1,sk2(X0))
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(resolution,[],[f4,f7]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sk2(X0))
| ~ stable(X0)
| greater_or_equal(sk1(X1,X0),X1)
| greater(zero,growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_4) ).
fof(f70,plain,
subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)),
inference(subsumption_resolution,[],[f69,f10]) ).
fof(f69,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ environment(sk4) ),
inference(subsumption_resolution,[],[f68,f11]) ).
fof(f68,plain,
( ~ stable(sk4)
| ~ environment(sk4)
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(subsumption_resolution,[],[f67,f42]) ).
fof(f67,plain,
( ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ stable(sk4)
| ~ environment(sk4) ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
( ~ environment(sk4)
| ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ stable(sk4)
| ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
inference(resolution,[],[f65,f12]) ).
fof(f65,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk5(sk2(X0)))
| ~ greater(sk2(X0),appear(efficient_producers,sk4))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| ~ stable(X0) ),
inference(subsumption_resolution,[],[f64,f14]) ).
fof(f64,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| greater(zero,growth_rate(first_movers,sk5(sk2(X0))))
| ~ greater(sk2(X0),appear(efficient_producers,sk4))
| ~ subpopulations(first_movers,efficient_producers,X0,sk5(sk2(X0)))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f63,f13]) ).
fof(f63,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,sk2(X0))
| ~ stable(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,sk2(X0))
| ~ environment(X0)
| ~ stable(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(sk3(X0),X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(first_movers,X1))
| ~ stable(X0) ),
inference(resolution,[],[f3,f7]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_3) ).
fof(f84,plain,
~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))),
inference(subsumption_resolution,[],[f83,f11]) ).
fof(f83,plain,
( ~ stable(sk4)
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(subsumption_resolution,[],[f82,f42]) ).
fof(f82,plain,
( ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ stable(sk4) ),
inference(subsumption_resolution,[],[f81,f10]) ).
fof(f81,plain,
( ~ environment(sk4)
| ~ stable(sk4)
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ greater(sk2(sk4),appear(efficient_producers,sk4)) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
( ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ stable(sk4)
| ~ environment(sk4)
| ~ greater(sk2(sk4),appear(efficient_producers,sk4))
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
inference(resolution,[],[f79,f12]) ).
fof(f79,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk5(sk2(X0)))
| ~ greater(sk2(X0),appear(efficient_producers,sk4))
| ~ environment(X0)
| ~ stable(X0)
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0))) ),
inference(subsumption_resolution,[],[f78,f14]) ).
fof(f78,plain,
! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk5(sk2(X0)))
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0)))
| ~ greater(sk2(X0),appear(efficient_producers,sk4))
| greater(zero,growth_rate(first_movers,sk5(sk2(X0))))
| ~ stable(X0) ),
inference(resolution,[],[f77,f13]) ).
fof(f77,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,sk2(X0))
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0)))
| greater(zero,growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ greater(zero,growth_rate(first_movers,sk1(sk3(X0),X0)))
| ~ greater_or_equal(X1,sk2(X0)) ),
inference(resolution,[],[f6,f7]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ environment(X0)
| ~ stable(X0)
| ~ greater_or_equal(X2,sk2(X0))
| greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_first_movers_negative_growth_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT028-1 : 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_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n026.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 : Tue Aug 30 03:29:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (18505)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.51 % (18505)First to succeed.
% 0.21/0.51 % (18522)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.51 % (18505)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51 % (18505)------------------------------
% 0.21/0.51 % (18505)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51 % (18505)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51 % (18505)Termination reason: Refutation
% 0.21/0.51
% 0.21/0.51 % (18505)Memory used [KB]: 1407
% 0.21/0.51 % (18505)Time elapsed: 0.096 s
% 0.21/0.51 % (18505)Instructions burned: 3 (million)
% 0.21/0.51 % (18505)------------------------------
% 0.21/0.51 % (18505)------------------------------
% 0.21/0.51 % (18498)Success in time 0.151 s
%------------------------------------------------------------------------------