TSTP Solution File: MGT023-2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT023-2 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n029.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 : Sun May 5 07:57:07 EDT 2024
% Result : Unsatisfiable 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 20
% Syntax : Number of formulae : 88 ( 8 unt; 0 def)
% Number of atoms : 315 ( 50 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 360 ( 133 ~; 224 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% 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 : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f192,plain,
$false,
inference(subsumption_resolution,[],[f191,f47]) ).
fof(f47,plain,
in_environment(sk5,sk2(sk5)),
inference(subsumption_resolution,[],[f46,f15]) ).
fof(f15,axiom,
environment(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_33) ).
fof(f46,plain,
( in_environment(sk5,sk2(sk5))
| ~ environment(sk5) ),
inference(subsumption_resolution,[],[f45,f24]) ).
fof(f24,plain,
in_environment(sk5,sk4(sk5)),
inference(unit_resulting_resolution,[],[f16,f15,f13]) ).
fof(f13,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk4(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_31) ).
fof(f16,axiom,
stable(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_34) ).
fof(f45,plain,
( ~ in_environment(sk5,sk4(sk5))
| in_environment(sk5,sk2(sk5))
| ~ environment(sk5) ),
inference(duplicate_literal_removal,[],[f44]) ).
fof(f44,plain,
( ~ in_environment(sk5,sk4(sk5))
| in_environment(sk5,sk2(sk5))
| ~ environment(sk5)
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[],[f7,f40]) ).
fof(f40,plain,
( greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(subsumption_resolution,[],[f39,f29]) ).
fof(f29,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(subsumption_resolution,[],[f28,f15]) ).
fof(f28,plain,
( ~ environment(sk5)
| in_environment(sk5,sk2(sk5))
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,[],[f2,f24]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0))
| greater_or_equal(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
fof(f39,plain,
( ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(subsumption_resolution,[],[f38,f16]) ).
fof(f38,plain,
( ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(subsumption_resolution,[],[f37,f15]) ).
fof(f37,plain,
( ~ environment(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5)))
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[],[f14,f33]) ).
fof(f33,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| in_environment(sk5,sk2(sk5)) ),
inference(subsumption_resolution,[],[f32,f15]) ).
fof(f32,plain,
( ~ environment(sk5)
| in_environment(sk5,sk2(sk5))
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolution,[],[f1,f24]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
fof(f14,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,sk4(X0))
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_32) ).
fof(f7,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| in_environment(X0,sk2(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
fof(f191,plain,
~ in_environment(sk5,sk2(sk5)),
inference(superposition,[],[f17,f190]) ).
fof(f190,plain,
critical_point(sk5) = sk2(sk5),
inference(subsumption_resolution,[],[f189,f181]) ).
fof(f181,plain,
( ~ sP2(sk5)
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f180,f15]) ).
fof(f180,plain,
( critical_point(sk5) = sk2(sk5)
| ~ environment(sk5)
| ~ sP2(sk5) ),
inference(subsumption_resolution,[],[f177,f24]) ).
fof(f177,plain,
( critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ sP2(sk5) ),
inference(resolution,[],[f166,f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ sP2(X0) ),
inference(general_splitting,[],[f9,f22_D]) ).
fof(f22,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| sP2(X0) ),
inference(cnf_transformation,[],[f22_D]) ).
fof(f22_D,plain,
! [X0] :
( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
<=> ~ sP2(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
fof(f166,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,[],[f165,f125]) ).
fof(f125,plain,
( greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f123,f27]) ).
fof(f27,plain,
( ~ sP0(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(subsumption_resolution,[],[f26,f15]) ).
fof(f26,plain,
( ~ environment(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ sP0(sk5) ),
inference(resolution,[],[f19,f24]) ).
fof(f19,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(sk1(X1,X0),X1)
| ~ sP0(X0) ),
inference(general_splitting,[],[f6,f18_D]) ).
fof(f18,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| sP0(X0) ),
inference(cnf_transformation,[],[f18_D]) ).
fof(f18_D,plain,
! [X0] :
( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
<=> ~ sP0(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater_or_equal(sk1(X1,X0),X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
fof(f123,plain,
( sP0(sk5)
| critical_point(sk5) = sk2(sk5)
| greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5)) ),
inference(resolution,[],[f122,f24]) ).
fof(f122,plain,
! [X0] :
( ~ in_environment(sk5,X0)
| sP0(sk5)
| critical_point(sk5) = sk2(sk5)
| greater_or_equal(sk1(X0,sk5),X0) ),
inference(subsumption_resolution,[],[f120,f15]) ).
fof(f120,plain,
! [X0] :
( critical_point(sk5) = sk2(sk5)
| sP0(sk5)
| ~ in_environment(sk5,X0)
| greater_or_equal(sk1(X0,sk5),X0)
| ~ environment(sk5) ),
inference(resolution,[],[f114,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
fof(f114,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| sP0(sk5) ),
inference(subsumption_resolution,[],[f113,f15]) ).
fof(f113,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| sP0(sk5) ),
inference(subsumption_resolution,[],[f112,f47]) ).
fof(f112,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)
| sP0(sk5) ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,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)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sP0(sk5) ),
inference(resolution,[],[f12,f101]) ).
fof(f101,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sP0(sk5) ),
inference(subsumption_resolution,[],[f96,f57]) ).
fof(f57,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f55,f15]) ).
fof(f55,plain,
( ~ environment(sk5)
| critical_point(sk5) = sk2(sk5)
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[],[f11,f47]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(sk3(X1,X0),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_29) ).
fof(f96,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| sP0(sk5) ),
inference(resolution,[],[f86,f18]) ).
fof(f86,plain,
( subpopulations(first_movers,efficient_producers,sk5,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,[],[f84,f15]) ).
fof(f84,plain,
( ~ environment(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)) ),
inference(resolution,[],[f10,f47]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_28) ).
fof(f12,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_30) ).
fof(f165,plain,
( critical_point(sk5) = sk2(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(subsumption_resolution,[],[f164,f16]) ).
fof(f164,plain,
( critical_point(sk5) = sk2(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(subsumption_resolution,[],[f160,f15]) ).
fof(f160,plain,
( critical_point(sk5) = sk2(sk5)
| ~ environment(sk5)
| ~ greater_or_equal(sk1(sk4(sk5),sk5),sk4(sk5))
| ~ stable(sk5)
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),sk5)),growth_rate(first_movers,sk1(sk4(sk5),sk5))) ),
inference(resolution,[],[f158,f14]) ).
fof(f158,plain,
( subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f156,f31]) ).
fof(f31,plain,
( ~ sP1(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(subsumption_resolution,[],[f30,f15]) ).
fof(f30,plain,
( ~ environment(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5))
| ~ sP1(sk5) ),
inference(resolution,[],[f21,f24]) ).
fof(f21,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ sP1(X0) ),
inference(general_splitting,[],[f4,f20_D]) ).
fof(f20,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| sP1(X0) ),
inference(cnf_transformation,[],[f20_D]) ).
fof(f20_D,plain,
! [X0] :
( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
<=> ~ sP1(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| ~ 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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
fof(f156,plain,
( sP1(sk5)
| critical_point(sk5) = sk2(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),sk5)) ),
inference(resolution,[],[f129,f24]) ).
fof(f129,plain,
! [X0] :
( ~ in_environment(sk5,X0)
| sP1(sk5)
| critical_point(sk5) = sk2(sk5)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5)) ),
inference(subsumption_resolution,[],[f127,f15]) ).
fof(f127,plain,
! [X0] :
( critical_point(sk5) = sk2(sk5)
| sP1(sk5)
| ~ in_environment(sk5,X0)
| subpopulations(first_movers,efficient_producers,sk5,sk1(X0,sk5))
| ~ environment(sk5) ),
inference(resolution,[],[f116,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/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
fof(f116,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| sP1(sk5) ),
inference(subsumption_resolution,[],[f115,f15]) ).
fof(f115,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| sP1(sk5) ),
inference(subsumption_resolution,[],[f111,f47]) ).
fof(f111,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)
| sP1(sk5) ),
inference(duplicate_literal_removal,[],[f108]) ).
fof(f108,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)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sP1(sk5) ),
inference(resolution,[],[f12,f100]) ).
fof(f100,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sP1(sk5) ),
inference(subsumption_resolution,[],[f95,f57]) ).
fof(f95,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| sP1(sk5) ),
inference(resolution,[],[f86,f20]) ).
fof(f189,plain,
( critical_point(sk5) = sk2(sk5)
| sP2(sk5) ),
inference(duplicate_literal_removal,[],[f182]) ).
fof(f182,plain,
( critical_point(sk5) = sk2(sk5)
| critical_point(sk5) = sk2(sk5)
| sP2(sk5) ),
inference(resolution,[],[f179,f118]) ).
fof(f118,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| sP2(sk5) ),
inference(subsumption_resolution,[],[f117,f15]) ).
fof(f117,plain,
( critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5)
| sP2(sk5) ),
inference(subsumption_resolution,[],[f110,f47]) ).
fof(f110,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)
| sP2(sk5) ),
inference(duplicate_literal_removal,[],[f109]) ).
fof(f109,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)
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sP2(sk5) ),
inference(resolution,[],[f12,f99]) ).
fof(f99,plain,
( greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| critical_point(sk5) = sk2(sk5)
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| sP2(sk5) ),
inference(subsumption_resolution,[],[f94,f57]) ).
fof(f94,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5)
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk3(sk2(sk5),sk5)),growth_rate(first_movers,sk3(sk2(sk5),sk5)))
| sP2(sk5) ),
inference(resolution,[],[f86,f22]) ).
fof(f179,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| critical_point(sk5) = sk2(sk5) ),
inference(subsumption_resolution,[],[f178,f15]) ).
fof(f178,plain,
( critical_point(sk5) = sk2(sk5)
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5) ),
inference(subsumption_resolution,[],[f175,f24]) ).
fof(f175,plain,
( critical_point(sk5) = sk2(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ environment(sk5) ),
inference(resolution,[],[f166,f8]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,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/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
fof(f17,axiom,
~ in_environment(sk5,critical_point(sk5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_35) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT023-2 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:03:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28472)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (28475)WARNING: value z3 for option sas not known
% 0.14/0.38 % (28476)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (28473)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (28474)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (28475)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28477)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38 % (28478)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38 % (28479)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (28479)First to succeed.
% 0.14/0.39 % (28479)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28472"
% 0.14/0.39 % (28479)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (28479)------------------------------
% 0.14/0.39 % (28479)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (28479)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (28479)Memory used [KB]: 848
% 0.14/0.39 % (28479)Time elapsed: 0.010 s
% 0.14/0.39 % (28479)Instructions burned: 14 (million)
% 0.14/0.39 % (28472)Success in time 0.026 s
%------------------------------------------------------------------------------