TSTP Solution File: MGT023-2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT023-2 : 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 : 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 17:50:56 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 30
% Syntax : Number of formulae : 84 ( 6 unt; 0 def)
% Number of atoms : 305 ( 16 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 406 ( 185 ~; 208 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 14 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f107,plain,
$false,
inference(avatar_sat_refutation,[],[f25,f31,f46,f54,f58,f60,f75,f77,f79,f80,f88,f90,f91,f93,f100,f102,f105,f106]) ).
fof(f106,plain,
( spl0_2
| ~ spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f104,f85,f51,f23]) ).
fof(f23,plain,
( spl0_2
<=> ! [X1] :
( ~ in_environment(sk5,X1)
| greater_or_equal(sk1(X1,sk5),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f51,plain,
( spl0_7
<=> environment(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f85,plain,
( spl0_12
<=> in_environment(sk5,sk2(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f104,plain,
( ! [X1] :
( ~ environment(sk5)
| ~ in_environment(sk5,X1)
| greater_or_equal(sk1(X1,sk5),X1) )
| spl0_12 ),
inference(resolution,[],[f86,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( in_environment(X0,sk2(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
fof(f86,plain,
( ~ in_environment(sk5,sk2(sk5))
| spl0_12 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f105,plain,
( spl0_3
| ~ spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f103,f85,f51,f29]) ).
fof(f29,plain,
( spl0_3
<=> ! [X1] :
( ~ in_environment(sk5,X1)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f103,plain,
( ! [X0] :
( ~ environment(sk5)
| ~ in_environment(sk5,X0)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5)) )
| spl0_12 ),
inference(resolution,[],[f86,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in_environment(X0,sk2(X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
fof(f102,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f101,f97,f85]) ).
fof(f97,plain,
( spl0_13
<=> critical_point(sk5) = sk2(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f101,plain,
( ~ in_environment(sk5,sk2(sk5))
| ~ spl0_13 ),
inference(backward_demodulation,[],[f17,f99]) ).
fof(f99,plain,
( critical_point(sk5) = sk2(sk5)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f17,axiom,
~ in_environment(sk5,critical_point(sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_35) ).
fof(f100,plain,
( ~ spl0_7
| spl0_5
| spl0_13
| ~ spl0_12
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f95,f44,f85,f97,f37,f51]) ).
fof(f37,plain,
( spl0_5
<=> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f44,plain,
( spl0_6
<=> ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| critical_point(X0) = sk2(sk5)
| ~ in_environment(X0,sk2(sk5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f95,plain,
( ~ in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f94]) ).
fof(f94,plain,
( ~ environment(sk5)
| ~ in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5))
| ~ spl0_6 ),
inference(resolution,[],[f45,f10]) ).
fof(f10,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_28) ).
fof(f45,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| ~ in_environment(X0,sk2(sk5))
| ~ environment(X0)
| critical_point(X0) = sk2(sk5) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f93,plain,
( spl0_5
| spl0_4
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f92,f20,f34,f37]) ).
fof(f34,plain,
( spl0_4
<=> ! [X0] :
( ~ in_environment(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),X0)),growth_rate(first_movers,sk3(sk2(sk5),X0)))
| critical_point(X0) = sk2(sk5)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f20,plain,
( spl0_1
<=> ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f92,plain,
( ! [X0] :
( critical_point(X0) = sk2(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),X0)),growth_rate(first_movers,sk3(sk2(sk5),X0)))
| ~ in_environment(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) )
| ~ spl0_1 ),
inference(resolution,[],[f21,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( greater(sk3(X1,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_29) ).
fof(f21,plain,
( ! [X0] :
( ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f20]) ).
fof(f91,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_1
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f82,f72,f20,f64,f51]) ).
fof(f64,plain,
( spl0_9
<=> in_environment(sk5,sk4(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f72,plain,
( spl0_11
<=> greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f82,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(X0,sk2(sk5))
| ~ environment(sk5) )
| ~ spl0_11 ),
inference(resolution,[],[f74,f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
fof(f74,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f90,plain,
( ~ spl0_9
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f89,f72,f56,f64]) ).
fof(f56,plain,
( spl0_8
<=> ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))
| ~ in_environment(sk5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f89,plain,
( ~ in_environment(sk5,sk4(sk5))
| ~ spl0_8
| ~ spl0_11 ),
inference(resolution,[],[f57,f74]) ).
fof(f57,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))
| ~ in_environment(sk5,X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f88,plain,
( ~ spl0_7
| ~ spl0_9
| spl0_12
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f83,f72,f85,f64,f51]) ).
fof(f83,plain,
( in_environment(sk5,sk2(sk5))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ spl0_11 ),
inference(resolution,[],[f74,f7]) ).
fof(f7,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
fof(f80,plain,
( ~ spl0_7
| spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f49,f37,f23,f51]) ).
fof(f49,plain,
( ! [X2] :
( greater_or_equal(sk1(X2,sk5),X2)
| ~ environment(sk5)
| ~ in_environment(sk5,X2) )
| ~ spl0_5 ),
inference(resolution,[],[f39,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
fof(f39,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f79,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f78]) ).
fof(f78,plain,
( $false
| spl0_10 ),
inference(resolution,[],[f70,f16]) ).
fof(f16,axiom,
stable(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_34) ).
fof(f70,plain,
( ~ stable(sk5)
| spl0_10 ),
inference(avatar_component_clause,[],[f68]) ).
fof(f68,plain,
( spl0_10
<=> stable(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f77,plain,
( ~ spl0_7
| ~ spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f76,f64,f68,f51]) ).
fof(f76,plain,
( ~ stable(sk5)
| ~ environment(sk5)
| spl0_9 ),
inference(resolution,[],[f66,f13]) ).
fof(f13,axiom,
! [X0] :
( in_environment(X0,sk4(X0))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_31) ).
fof(f66,plain,
( ~ in_environment(sk5,sk4(sk5))
| spl0_9 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f75,plain,
( ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_7
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f62,f29,f23,f51,f72,f68,f64]) ).
fof(f62,plain,
( ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ stable(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ spl0_2
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f61]) ).
fof(f61,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ in_environment(sk5,sk4(sk5))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ stable(sk5)
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f30,f26]) ).
fof(f26,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk1(sk4(X0),sk5))
| ~ stable(X0)
| greater(growth_rate(efficient_producers,sk1(sk4(X0),sk5)),growth_rate(first_movers,sk1(sk4(X0),sk5)))
| ~ environment(X0)
| ~ in_environment(sk5,sk4(X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f24,f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,sk4(X0))
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_32) ).
fof(f24,plain,
( ! [X1] :
( greater_or_equal(sk1(X1,sk5),X1)
| ~ in_environment(sk5,X1) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f30,plain,
( ! [X1] :
( subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| ~ in_environment(sk5,X1) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f60,plain,
spl0_7,
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| spl0_7 ),
inference(resolution,[],[f53,f15]) ).
fof(f15,axiom,
environment(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_33) ).
fof(f53,plain,
( ~ environment(sk5)
| spl0_7 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f58,plain,
( ~ spl0_7
| spl0_8
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f47,f37,f56,f51]) ).
fof(f47,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))
| ~ environment(sk5)
| ~ in_environment(sk5,X0) )
| ~ spl0_5 ),
inference(resolution,[],[f39,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
fof(f54,plain,
( ~ spl0_7
| spl0_3
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f48,f37,f29,f51]) ).
fof(f48,plain,
( ! [X1] :
( ~ in_environment(sk5,X1)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| ~ environment(sk5) )
| ~ spl0_5 ),
inference(resolution,[],[f39,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
fof(f46,plain,
( spl0_5
| spl0_6
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f42,f34,f44,f37]) ).
fof(f42,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sk2(sk5))
| critical_point(X0) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0)) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f41,plain,
( ! [X0] :
( critical_point(X0) = sk2(sk5)
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk5))
| ~ in_environment(X0,sk2(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(X0) = sk2(sk5)
| ~ environment(X0) )
| ~ spl0_4 ),
inference(resolution,[],[f35,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) = X1
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_30) ).
fof(f35,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),X0)),growth_rate(first_movers,sk3(sk2(sk5),X0)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),X0))
| critical_point(X0) = sk2(sk5)
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk5)) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f31,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f27,f29,f20]) ).
fof(f27,plain,
! [X0,X1] :
( ~ in_environment(sk5,X1)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(X0,sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0) ),
inference(resolution,[],[f4,f15]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ greater(X2,sk2(X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
fof(f25,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f18,f23,f20]) ).
fof(f18,plain,
! [X0,X1] :
( ~ in_environment(sk5,X1)
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater_or_equal(sk1(X1,sk5),X1)
| ~ greater(X0,sk2(sk5)) ),
inference(resolution,[],[f6,f15]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT023-2 : 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_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 03:14:48 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (18593)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.47 % (18609)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.19/0.50 % (18588)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50 % (18588)Refutation not found, incomplete strategy% (18588)------------------------------
% 0.19/0.50 % (18588)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (18588)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (18588)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50
% 0.19/0.50 % (18588)Memory used [KB]: 5884
% 0.19/0.50 % (18588)Time elapsed: 0.103 s
% 0.19/0.50 % (18588)Instructions burned: 2 (million)
% 0.19/0.50 % (18588)------------------------------
% 0.19/0.50 % (18588)------------------------------
% 0.19/0.51 % (18605)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.51 % (18601)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52 % (18593)Instruction limit reached!
% 0.19/0.52 % (18593)------------------------------
% 0.19/0.52 % (18593)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18593)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18593)Termination reason: Unknown
% 0.19/0.52 % (18593)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (18593)Memory used [KB]: 6268
% 0.19/0.52 % (18593)Time elapsed: 0.116 s
% 0.19/0.52 % (18593)Instructions burned: 52 (million)
% 0.19/0.52 % (18593)------------------------------
% 0.19/0.52 % (18593)------------------------------
% 0.19/0.52 % (18606)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52 % (18597)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (18589)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (18584)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52 % (18598)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.52 % (18613)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (18607)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)
% 0.19/0.52 % (18611)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.52 % (18612)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)
% 0.19/0.52 % (18607)Refutation not found, incomplete strategy% (18607)------------------------------
% 0.19/0.52 % (18607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18607)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (18607)Memory used [KB]: 5884
% 0.19/0.52 % (18607)Time elapsed: 0.131 s
% 0.19/0.52 % (18607)Instructions burned: 6 (million)
% 0.19/0.52 % (18607)------------------------------
% 0.19/0.52 % (18607)------------------------------
% 0.19/0.52 % (18585)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.52 % (18586)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52 % (18586)Refutation not found, incomplete strategy% (18586)------------------------------
% 0.19/0.52 % (18586)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (18586)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (18586)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (18586)Memory used [KB]: 5884
% 0.19/0.52 % (18586)Time elapsed: 0.126 s
% 0.19/0.52 % (18586)Instructions burned: 2 (million)
% 0.19/0.52 % (18586)------------------------------
% 0.19/0.52 % (18586)------------------------------
% 0.19/0.52 % (18587)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.53 % (18608)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.53 % (18590)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)
% 0.19/0.53 % (18592)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.53 % (18610)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.53 % (18599)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.53 % (18592)Instruction limit reached!
% 0.19/0.53 % (18592)------------------------------
% 0.19/0.53 % (18592)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18592)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18592)Termination reason: Unknown
% 0.19/0.53 % (18592)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (18592)Memory used [KB]: 5884
% 0.19/0.53 % (18592)Time elapsed: 0.137 s
% 0.19/0.53 % (18592)Instructions burned: 3 (million)
% 0.19/0.53 % (18592)------------------------------
% 0.19/0.53 % (18592)------------------------------
% 0.19/0.53 % (18589)First to succeed.
% 0.19/0.53 % (18599)Instruction limit reached!
% 0.19/0.53 % (18599)------------------------------
% 0.19/0.53 % (18599)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18599)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18599)Termination reason: Unknown
% 0.19/0.53 % (18599)Termination phase: Finite model building preprocessing
% 0.19/0.53
% 0.19/0.53 % (18599)Memory used [KB]: 5884
% 0.19/0.53 % (18599)Time elapsed: 0.004 s
% 0.19/0.53 % (18599)Instructions burned: 6 (million)
% 0.19/0.53 % (18599)------------------------------
% 0.19/0.53 % (18599)------------------------------
% 0.19/0.53 % (18591)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)
% 0.19/0.53 % (18589)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (18589)------------------------------
% 0.19/0.53 % (18589)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (18589)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (18589)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (18589)Memory used [KB]: 5884
% 0.19/0.53 % (18589)Time elapsed: 0.130 s
% 0.19/0.53 % (18589)Instructions burned: 5 (million)
% 0.19/0.53 % (18589)------------------------------
% 0.19/0.53 % (18589)------------------------------
% 0.19/0.53 % (18583)Success in time 0.184 s
%------------------------------------------------------------------------------