TSTP Solution File: MGT023-2 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n022.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 0.15s 0.49s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 20
% Syntax : Number of formulae : 95 ( 11 unt; 3 typ; 0 def)
% Number of atoms : 393 ( 60 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 482 ( 181 ~; 301 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_8,type,
sQ1_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_9,type,
sQ2_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_10,type,
sQ3_eqProxy: ( $real * $real ) > $o ).
fof(f168,plain,
$false,
inference(subsumption_resolution,[],[f164,f84]) ).
fof(f84,plain,
in_environment(sk5,sk2(sk5)),
inference(subsumption_resolution,[],[f83,f70]) ).
fof(f70,plain,
in_environment(sk5,sk4(sk5)),
inference(subsumption_resolution,[],[f69,f29]) ).
fof(f29,plain,
environment(sk5),
inference(literal_reordering,[],[f15]) ).
fof(f15,axiom,
environment(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_33) ).
fof(f69,plain,
( ~ environment(sk5)
| in_environment(sk5,sk4(sk5)) ),
inference(resolution,[],[f23,f30]) ).
fof(f30,plain,
stable(sk5),
inference(literal_reordering,[],[f16]) ).
fof(f16,axiom,
stable(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_34) ).
fof(f23,plain,
! [X0] :
( ~ stable(X0)
| in_environment(X0,sk4(X0))
| ~ environment(X0) ),
inference(literal_reordering,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( in_environment(X0,sk4(X0))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_31) ).
fof(f83,plain,
( ~ in_environment(sk5,sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(subsumption_resolution,[],[f82,f29]) ).
fof(f82,plain,
( in_environment(sk5,sk2(sk5))
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5)) ),
inference(duplicate_literal_removal,[],[f81]) ).
fof(f81,plain,
( in_environment(sk5,sk2(sk5))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[],[f78,f32]) ).
fof(f32,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| in_environment(X0,sk2(X0))
| ~ environment(X0) ),
inference(literal_reordering,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| in_environment(X0,sk2(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
fof(f78,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| in_environment(X0,sk2(X0))
| ~ in_environment(X0,sk4(sk5))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f77,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ environment(X0)
| in_environment(X0,sk2(X0))
| ~ in_environment(X0,X1) ),
inference(literal_reordering,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( in_environment(X0,sk2(X0))
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
fof(f77,plain,
! [X0] :
( in_environment(X0,sk2(X0))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),X0)),growth_rate(first_movers,sk1(sk4(sk5),X0)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| ~ in_environment(X0,sk4(sk5)) ),
inference(resolution,[],[f72,f19]) ).
fof(f19,plain,
! [X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| in_environment(X0,sk2(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(literal_reordering,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
fof(f72,plain,
! [X0] :
( ~ greater_or_equal(X0,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(subsumption_resolution,[],[f71,f29]) ).
fof(f71,plain,
! [X0] :
( ~ greater_or_equal(X0,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sk5) ),
inference(resolution,[],[f33,f30]) ).
fof(f33,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk4(X0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(literal_reordering,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ stable(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| ~ greater_or_equal(X1,sk4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_32) ).
fof(f164,plain,
~ in_environment(sk5,sk2(sk5)),
inference(backward_demodulation,[],[f31,f161]) ).
fof(f161,plain,
critical_point(sk5) = sk2(sk5),
inference(subsumption_resolution,[],[f160,f70]) ).
fof(f160,plain,
( ~ in_environment(sk5,sk4(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(duplicate_literal_removal,[],[f157]) ).
fof(f157,plain,
( critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk4(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(resolution,[],[f155,f136]) ).
fof(f136,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X0) ),
inference(subsumption_resolution,[],[f132,f29]) ).
fof(f132,plain,
! [X0] :
( ~ environment(sk5)
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk5)),growth_rate(first_movers,sk1(X0,sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X0) ),
inference(resolution,[],[f130,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(literal_reordering,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
fof(f130,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f129,f29]) ).
fof(f129,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f128,f84]) ).
fof(f128,plain,
( critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5) ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f127,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5))
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[],[f125,f20]) ).
fof(f20,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(literal_reordering,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_30) ).
fof(f125,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f124,f84]) ).
fof(f124,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(subsumption_resolution,[],[f123,f29]) ).
fof(f123,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ environment(sk5)
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5)) ),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f122,plain,
( ~ in_environment(sk5,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| ~ environment(sk5)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[],[f120,f18]) ).
fof(f18,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))
| critical_point(X0) = X1
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(literal_reordering,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| critical_point(X0) = X1
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))
| ~ in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_28) ).
fof(f120,plain,
( ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(duplicate_literal_removal,[],[f119]) ).
fof(f119,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,[],[f117,f86]) ).
fof(f86,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(resolution,[],[f84,f74]) ).
fof(f74,plain,
! [X0] :
( ~ in_environment(sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(sk3(X0,sk5),X0)
| critical_point(sk5) = X0 ),
inference(resolution,[],[f24,f29]) ).
fof(f24,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(sk3(X1,X0),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| critical_point(X0) = X1 ),
inference(literal_reordering,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( critical_point(X0) = X1
| greater(sk3(X1,X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_29) ).
fof(f117,plain,
! [X0] :
( ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f116,f70]) ).
fof(f116,plain,
! [X0] :
( ~ greater(X0,sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ in_environment(sk5,sk4(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(subsumption_resolution,[],[f114,f29]) ).
fof(f114,plain,
! [X0] :
( ~ environment(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| ~ in_environment(sk5,sk4(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ greater(X0,sk2(sk5)) ),
inference(resolution,[],[f112,f27]) ).
fof(f27,plain,
! [X2,X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) ),
inference(literal_reordering,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0)
| ~ greater(X2,sk2(X0))
| ~ 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_27) ).
fof(f112,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f111,f70]) ).
fof(f111,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| ~ in_environment(sk5,sk4(sk5)) ),
inference(duplicate_literal_removal,[],[f109]) ).
fof(f109,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk4(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(resolution,[],[f104,f101]) ).
fof(f101,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ in_environment(sk5,X0) ),
inference(subsumption_resolution,[],[f100,f29]) ).
fof(f100,plain,
! [X0] :
( critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X0)
| ~ environment(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5)) ),
inference(subsumption_resolution,[],[f99,f84]) ).
fof(f99,plain,
! [X0] :
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| ~ in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ environment(sk5)
| ~ in_environment(sk5,X0) ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f98,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| ~ in_environment(sk5,X0)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(resolution,[],[f91,f18]) ).
fof(f91,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X0) ),
inference(subsumption_resolution,[],[f88,f29]) ).
fof(f88,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X0)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ environment(sk5) ),
inference(resolution,[],[f86,f22]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ greater(X2,sk2(X0))
| ~ in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ environment(X0) ),
inference(literal_reordering,[],[f4]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ greater(X2,sk2(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,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_22) ).
fof(f104,plain,
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(subsumption_resolution,[],[f103,f70]) ).
fof(f103,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ in_environment(sk5,sk4(sk5)) ),
inference(resolution,[],[f96,f72]) ).
fof(f96,plain,
! [X0] :
( greater_or_equal(sk1(X0,sk5),X0)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X0) ),
inference(subsumption_resolution,[],[f95,f84]) ).
fof(f95,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk2(sk5))
| greater_or_equal(sk1(X0,sk5),X0)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ in_environment(sk5,X0) ),
inference(subsumption_resolution,[],[f94,f29]) ).
fof(f94,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ environment(sk5)
| ~ in_environment(sk5,sk2(sk5))
| greater_or_equal(sk1(X0,sk5),X0)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ in_environment(sk5,X0) ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f93,plain,
! [X0] :
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| ~ in_environment(sk5,sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| greater_or_equal(sk1(X0,sk5),X0)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,X0)
| critical_point(sk5) = sk2(sk5) ),
inference(resolution,[],[f90,f18]) ).
fof(f90,plain,
! [X1] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| ~ in_environment(sk5,X1)
| critical_point(sk5) = sk2(sk5)
| greater_or_equal(sk1(X1,sk5),X1)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5))) ),
inference(subsumption_resolution,[],[f89,f29]) ).
fof(f89,plain,
! [X1] :
( ~ environment(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk3(sk2(sk5),sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater_or_equal(sk1(X1,sk5),X1)
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X1) ),
inference(resolution,[],[f86,f21]) ).
fof(f21,plain,
! [X2,X0,X1] :
( ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(literal_reordering,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ 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_24) ).
fof(f155,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f153,f70]) ).
fof(f153,plain,
( ~ in_environment(sk5,sk4(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(duplicate_literal_removal,[],[f150]) ).
fof(f150,plain,
( ~ in_environment(sk5,sk4(sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(resolution,[],[f140,f137]) ).
fof(f137,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5))
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X1) ),
inference(subsumption_resolution,[],[f133,f29]) ).
fof(f133,plain,
! [X1] :
( critical_point(sk5) = sk2(sk5)
| ~ environment(sk5)
| ~ in_environment(sk5,X1)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X1,sk5)) ),
inference(resolution,[],[f130,f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1) ),
inference(literal_reordering,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
fof(f140,plain,
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(subsumption_resolution,[],[f139,f70]) ).
fof(f139,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ in_environment(sk5,sk4(sk5)) ),
inference(resolution,[],[f135,f72]) ).
fof(f135,plain,
! [X2] :
( greater_or_equal(sk1(X2,sk5),X2)
| critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,X2) ),
inference(subsumption_resolution,[],[f134,f29]) ).
fof(f134,plain,
! [X2] :
( ~ environment(sk5)
| ~ in_environment(sk5,X2)
| critical_point(sk5) = sk2(sk5)
| greater_or_equal(sk1(X2,sk5),X2) ),
inference(resolution,[],[f130,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1) ),
inference(literal_reordering,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
fof(f31,plain,
~ in_environment(sk5,critical_point(sk5)),
inference(literal_reordering,[],[f17]) ).
fof(f17,axiom,
~ in_environment(sk5,critical_point(sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : MGT023-2 : TPTP v8.1.0. Released v2.4.0.
% 0.05/0.10 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.30 % Computer : n022.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Aug 30 03:15:41 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.46 % (15923)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.15/0.47 % (15932)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.15/0.47 % (15924)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.15/0.48 % (15923)First to succeed.
% 0.15/0.48 % (15915)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.15/0.48 % (15916)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.48 TRYING [1]
% 0.15/0.48 % (15932)Also succeeded, but the first one will report.
% 0.15/0.49 % (15923)Refutation found. Thanks to Tanya!
% 0.15/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.49 % (15923)------------------------------
% 0.15/0.49 % (15923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (15923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (15923)Termination reason: Refutation
% 0.15/0.49
% 0.15/0.49 % (15923)Memory used [KB]: 5884
% 0.15/0.49 % (15923)Time elapsed: 0.011 s
% 0.15/0.49 % (15923)Instructions burned: 9 (million)
% 0.15/0.49 % (15923)------------------------------
% 0.15/0.49 % (15923)------------------------------
% 0.15/0.49 % (15908)Success in time 0.178 s
%------------------------------------------------------------------------------