TSTP Solution File: MGT023-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n016.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 17:50:56 EDT 2022
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 5 unt; 0 def)
% Number of atoms : 97 ( 13 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 142 ( 67 ~; 75 |; 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 : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,plain,
$false,
inference(subsumption_resolution,[],[f36,f7]) ).
fof(f7,axiom,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_23) ).
fof(f36,plain,
~ environment(sk3),
inference(subsumption_resolution,[],[f35,f8]) ).
fof(f8,axiom,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_24) ).
fof(f35,plain,
( ~ stable(sk3)
| ~ environment(sk3) ),
inference(resolution,[],[f29,f9]) ).
fof(f9,axiom,
~ in_environment(sk3,critical_point(sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_25) ).
fof(f29,plain,
! [X0] :
( in_environment(X0,critical_point(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f21]) ).
fof(f21,plain,
! [X0] :
( ~ stable(X0)
| in_environment(X0,critical_point(X0))
| ~ environment(X0)
| ~ environment(X0)
| ~ stable(X0) ),
inference(superposition,[],[f4,f20]) ).
fof(f20,plain,
! [X0] :
( critical_point(X0) = sk2(X0)
| ~ stable(X0)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f19,f4]) ).
fof(f19,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| critical_point(X0) = sk2(X0)
| ~ in_environment(X0,sk2(X0)) ),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ~ in_environment(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,sk2(X0))
| critical_point(X0) = sk2(X0)
| critical_point(X0) = sk2(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f16,f11]) ).
fof(f11,plain,
! [X0,X1] :
( greater(sk1(sk2(X1),X0),sk2(X1))
| ~ in_environment(X0,sk2(X1))
| ~ environment(X1)
| ~ stable(X1)
| critical_point(X0) = sk2(X1)
| ~ environment(X0) ),
inference(resolution,[],[f2,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_21) ).
fof(f2,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(sk1(X1,X0),X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_18) ).
fof(f16,plain,
! [X0,X1] :
( ~ greater(sk1(sk2(X1),X0),sk2(X0))
| critical_point(X0) = sk2(X1)
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X0,sk2(X1))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f15,f5]) ).
fof(f15,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) = X1
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(sk1(X1,X0),sk2(X0)) ),
inference(duplicate_literal_removal,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ~ greater(sk1(X1,X0),sk2(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ stable(X0)
| ~ environment(X0)
| critical_point(X0) = X1
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| ~ in_environment(X0,X1) ),
inference(resolution,[],[f13,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| critical_point(X0) = X1
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_17) ).
fof(f13,plain,
! [X3,X4,X5] :
( ~ subpopulations(first_movers,efficient_producers,X5,sk1(X4,X3))
| ~ environment(X5)
| critical_point(X3) = X4
| ~ environment(X3)
| ~ stable(X5)
| ~ in_environment(X3,X4)
| greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(sk1(X4,X3),sk2(X5)) ),
inference(resolution,[],[f3,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox/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)))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_19) ).
fof(f4,axiom,
! [X0] :
( in_environment(X0,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.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 03:36:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (28642)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.50 % (28637)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (28637)First to succeed.
% 0.20/0.50 % (28650)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51 % (28630)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51 % (28658)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.51 % (28642)Also succeeded, but the first one will report.
% 0.20/0.51 % (28637)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (28637)------------------------------
% 0.20/0.51 % (28637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (28637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (28637)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (28637)Memory used [KB]: 5884
% 0.20/0.51 % (28637)Time elapsed: 0.100 s
% 0.20/0.51 % (28637)Instructions burned: 2 (million)
% 0.20/0.51 % (28637)------------------------------
% 0.20/0.51 % (28637)------------------------------
% 0.20/0.51 % (28629)Success in time 0.161 s
%------------------------------------------------------------------------------