TSTP Solution File: MGT024-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May 5 07:56:37 EDT 2024
% Result : Unsatisfiable 0.58s 0.74s
% Output : Refutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 27
% Syntax : Number of formulae : 86 ( 6 unt; 0 def)
% Number of atoms : 353 ( 11 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 443 ( 176 ~; 259 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f117,plain,
$false,
inference(avatar_sat_refutation,[],[f41,f50,f59,f75,f81,f85,f98,f99,f105,f107,f109,f116]) ).
fof(f116,plain,
( spl1_7
| spl1_1
| spl1_3
| spl1_6 ),
inference(avatar_split_clause,[],[f115,f56,f43,f34,f73]) ).
fof(f73,plain,
( spl1_7
<=> ! [X0] :
( ~ constant(number_of_organizations(X0,sk2))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_7])]) ).
fof(f34,plain,
( spl1_1
<=> sQ0_eqProxy(zero,growth_rate(first_movers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).
fof(f43,plain,
( spl1_3
<=> greater(growth_rate(first_movers,sk2),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).
fof(f56,plain,
( spl1_6
<=> greater(zero,growth_rate(first_movers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_6])]) ).
fof(f115,plain,
( ! [X0] :
( ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1
| spl1_3
| spl1_6 ),
inference(subsumption_resolution,[],[f114,f58]) ).
fof(f58,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| spl1_6 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f114,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1
| spl1_3 ),
inference(subsumption_resolution,[],[f112,f45]) ).
fof(f45,plain,
( ~ greater(growth_rate(first_movers,sk2),zero)
| spl1_3 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f112,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1 ),
inference(resolution,[],[f36,f24]) ).
fof(f24,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f9,f22]) ).
fof(f22,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f9,axiom,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| zero = growth_rate(first_movers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_32) ).
fof(f36,plain,
( ~ sQ0_eqProxy(zero,growth_rate(first_movers,sk2))
| spl1_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f109,plain,
( spl1_7
| spl1_6
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f108,f43,f38,f56,f73]) ).
fof(f38,plain,
( spl1_2
<=> sQ0_eqProxy(zero,growth_rate(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).
fof(f108,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2
| spl1_3 ),
inference(subsumption_resolution,[],[f87,f45]) ).
fof(f87,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2 ),
inference(resolution,[],[f28,f40]) ).
fof(f40,plain,
( ~ sQ0_eqProxy(zero,growth_rate(efficient_producers,sk2))
| spl1_2 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f28,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1))
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f13,f22]) ).
fof(f13,axiom,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| zero = growth_rate(efficient_producers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_36) ).
fof(f107,plain,
( spl1_7
| spl1_5
| spl1_2
| spl1_3 ),
inference(avatar_split_clause,[],[f106,f43,f38,f52,f73]) ).
fof(f52,plain,
( spl1_5
<=> greater(growth_rate(efficient_producers,sk2),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_5])]) ).
fof(f106,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2
| spl1_3 ),
inference(subsumption_resolution,[],[f86,f45]) ).
fof(f86,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero)
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2 ),
inference(resolution,[],[f27,f40]) ).
fof(f27,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f12,f22]) ).
fof(f12,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| zero = growth_rate(efficient_producers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_35) ).
fof(f105,plain,
( spl1_7
| spl1_4
| spl1_2
| spl1_6 ),
inference(avatar_split_clause,[],[f104,f56,f38,f47,f73]) ).
fof(f47,plain,
( spl1_4
<=> greater(zero,growth_rate(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).
fof(f104,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2
| spl1_6 ),
inference(subsumption_resolution,[],[f94,f58]) ).
fof(f94,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2 ),
inference(resolution,[],[f30,f40]) ).
fof(f30,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f15,f22]) ).
fof(f15,axiom,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| zero = growth_rate(efficient_producers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_38) ).
fof(f99,plain,
( spl1_7
| spl1_5
| spl1_2
| spl1_4 ),
inference(avatar_split_clause,[],[f89,f47,f38,f52,f73]) ).
fof(f89,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2
| spl1_4 ),
inference(subsumption_resolution,[],[f88,f49]) ).
fof(f49,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| spl1_4 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f88,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero)
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_2 ),
inference(resolution,[],[f29,f40]) ).
fof(f29,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f14,f22]) ).
fof(f14,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| zero = growth_rate(efficient_producers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_37) ).
fof(f98,plain,
~ spl1_7,
inference(avatar_contradiction_clause,[],[f97]) ).
fof(f97,plain,
( $false
| ~ spl1_7 ),
inference(subsumption_resolution,[],[f96,f61]) ).
fof(f61,plain,
~ greater(equilibrium(sk1),sk2),
inference(subsumption_resolution,[],[f60,f16]) ).
fof(f16,axiom,
environment(sk1),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',prove_l6_39) ).
fof(f60,plain,
( ~ greater(equilibrium(sk1),sk2)
| ~ environment(sk1) ),
inference(resolution,[],[f18,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,equilibrium(X0))
| ~ greater(equilibrium(X0),X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',mp_equilibrium_26) ).
fof(f18,axiom,
greater_or_equal(sk2,equilibrium(sk1)),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',prove_l6_41) ).
fof(f96,plain,
( greater(equilibrium(sk1),sk2)
| ~ spl1_7 ),
inference(subsumption_resolution,[],[f95,f16]) ).
fof(f95,plain,
( ~ environment(sk1)
| greater(equilibrium(sk1),sk2)
| ~ spl1_7 ),
inference(resolution,[],[f93,f17]) ).
fof(f17,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',prove_l6_40) ).
fof(f93,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0)
| greater(equilibrium(X0),sk2) )
| ~ spl1_7 ),
inference(duplicate_literal_removal,[],[f92]) ).
fof(f92,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| greater(equilibrium(X0),sk2) )
| ~ spl1_7 ),
inference(resolution,[],[f74,f78]) ).
fof(f78,plain,
! [X0,X1] :
( constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(equilibrium(X0),X1) ),
inference(duplicate_literal_removal,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution,[],[f70,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(resolution,[],[f7,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',mp_time_point_occur_24) ).
fof(f7,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',a6_30) ).
fof(f70,plain,
! [X0,X1] :
( constant(resources(X0,X1))
| greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(subsumption_resolution,[],[f69,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(number_of_organizations(X0,X1),zero)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',mp_positive_number_of_organizations_25) ).
fof(f69,plain,
! [X0,X1] :
( greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| constant(resources(X0,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| constant(resources(X0,X1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| greater(equilibrium(X0),X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| constant(resources(X0,X1))
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',a3_28) ).
fof(f74,plain,
( ! [X0] :
( ~ constant(number_of_organizations(X0,sk2))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,sk2) )
| ~ spl1_7 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f85,plain,
( spl1_7
| spl1_1
| spl1_4
| spl1_6 ),
inference(avatar_split_clause,[],[f84,f56,f47,f34,f73]) ).
fof(f84,plain,
( ! [X0] :
( ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1
| spl1_4
| spl1_6 ),
inference(subsumption_resolution,[],[f83,f58]) ).
fof(f83,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1
| spl1_4 ),
inference(subsumption_resolution,[],[f82,f49]) ).
fof(f82,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2))
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1 ),
inference(resolution,[],[f26,f36]) ).
fof(f26,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1))
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f11,f22]) ).
fof(f11,axiom,
! [X0,X1] :
( greater(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| zero = growth_rate(first_movers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_34) ).
fof(f81,plain,
( spl1_7
| spl1_5
| spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f80,f47,f34,f52,f73]) ).
fof(f80,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk2),zero)
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1
| spl1_4 ),
inference(subsumption_resolution,[],[f79,f49]) ).
fof(f79,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero)
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1 ),
inference(resolution,[],[f25,f36]) ).
fof(f25,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(first_movers,X1))
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f10,f22]) ).
fof(f10,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(zero,growth_rate(efficient_producers,X1))
| zero = growth_rate(first_movers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_33) ).
fof(f75,plain,
( spl1_7
| spl1_5
| spl1_3
| spl1_1 ),
inference(avatar_split_clause,[],[f71,f34,f43,f52,f73]) ).
fof(f71,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero)
| ~ constant(number_of_organizations(X0,sk2))
| ~ subpopulations(first_movers,efficient_producers,X0,sk2)
| ~ environment(X0) )
| spl1_1 ),
inference(resolution,[],[f23,f36]) ).
fof(f23,plain,
! [X0,X1] :
( sQ0_eqProxy(zero,growth_rate(first_movers,X1))
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(equality_proxy_replacement,[],[f8,f22]) ).
fof(f8,axiom,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),zero)
| greater(growth_rate(first_movers,X1),zero)
| zero = growth_rate(first_movers,X1)
| ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',l7_31) ).
fof(f59,plain,
( ~ spl1_5
| ~ spl1_6 ),
inference(avatar_split_clause,[],[f21,f56,f52]) ).
fof(f21,axiom,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',prove_l6_44) ).
fof(f50,plain,
( ~ spl1_3
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f20,f47,f43]) ).
fof(f20,axiom,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',prove_l6_43) ).
fof(f41,plain,
( ~ spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f31,f38,f34]) ).
fof(f31,plain,
( ~ sQ0_eqProxy(zero,growth_rate(efficient_producers,sk2))
| ~ sQ0_eqProxy(zero,growth_rate(first_movers,sk2)) ),
inference(equality_proxy_replacement,[],[f19,f22,f22]) ).
fof(f19,axiom,
( zero != growth_rate(efficient_producers,sk2)
| zero != growth_rate(first_movers,sk2) ),
file('/export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506',prove_l6_42) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT024-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n016.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 : Fri May 3 20:03:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.3pP370xyh0/Vampire---4.8_20506
% 0.58/0.73 % (20622)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.58/0.73 % (20615)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.73 % (20617)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.73 % (20616)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.58/0.73 % (20619)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.58/0.73 % (20620)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.73 % (20618)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.73 % (20621)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.58/0.74 % (20622)First to succeed.
% 0.58/0.74 % (20622)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20614"
% 0.58/0.74 % (20622)Refutation found. Thanks to Tanya!
% 0.58/0.74 % SZS status Unsatisfiable for Vampire---4
% 0.58/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.74 % (20622)------------------------------
% 0.58/0.74 % (20622)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (20622)Termination reason: Refutation
% 0.58/0.74
% 0.58/0.74 % (20622)Memory used [KB]: 1010
% 0.58/0.74 % (20622)Time elapsed: 0.003 s
% 0.58/0.74 % (20622)Instructions burned: 7 (million)
% 0.58/0.74 % (20614)Success in time 0.373 s
% 0.58/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------