TSTP Solution File: MGT025+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 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 : n005.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 : Theorem 0.56s 0.74s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 20
% Syntax : Number of formulae : 152 ( 11 unt; 0 def)
% Number of atoms : 529 ( 43 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 576 ( 199 ~; 270 |; 73 &)
% ( 13 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 14 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 128 ( 124 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f286,plain,
$false,
inference(avatar_sat_refutation,[],[f70,f79,f88,f134,f148,f168,f171,f172,f180,f184,f188,f202,f236,f249,f271,f274,f280,f282,f285]) ).
fof(f285,plain,
( ~ spl3_2
| spl3_5
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f284]) ).
fof(f284,plain,
( $false
| ~ spl3_2
| spl3_5
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f283,f279]) ).
fof(f279,plain,
( greater(zero,zero)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl3_14
<=> greater(zero,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f283,plain,
( ~ greater(zero,zero)
| ~ spl3_2
| spl3_5 ),
inference(superposition,[],[f83,f68]) ).
fof(f68,plain,
( zero = growth_rate(first_movers,sK1)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl3_2
<=> zero = growth_rate(first_movers,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f83,plain,
( ~ greater(zero,growth_rate(first_movers,sK1))
| spl3_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl3_5
<=> greater(zero,growth_rate(first_movers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f282,plain,
( spl3_14
| ~ spl3_2
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f281,f76,f67,f277]) ).
fof(f76,plain,
( spl3_4
<=> greater(growth_rate(first_movers,sK1),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f281,plain,
( greater(zero,zero)
| ~ spl3_2
| ~ spl3_4 ),
inference(forward_demodulation,[],[f77,f68]) ).
fof(f77,plain,
( greater(growth_rate(first_movers,sK1),zero)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f280,plain,
( ~ spl3_13
| spl3_8
| spl3_14
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f275,f67,f277,f114,f244]) ).
fof(f244,plain,
( spl3_13
<=> increases(cardinality_at_time(first_movers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f114,plain,
( spl3_8
<=> ! [X0] :
( ~ in_environment(X0,sK1)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f275,plain,
( ! [X0] :
( greater(zero,zero)
| ~ in_environment(X0,sK1)
| ~ environment(X0)
| ~ increases(cardinality_at_time(first_movers,sK1)) )
| ~ spl3_2 ),
inference(forward_demodulation,[],[f203,f68]) ).
fof(f203,plain,
! [X0] :
( ~ in_environment(X0,sK1)
| ~ environment(X0)
| ~ increases(cardinality_at_time(first_movers,sK1))
| greater(growth_rate(first_movers,sK1),zero) ),
inference(subsumption_resolution,[],[f106,f41]) ).
fof(f41,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2] :
( ( in_environment(X0,X2)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X2)
& subpopulation(first_movers,X0,X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.wL6Q2pBBUR/Vampire---4.8_16384',mp_subpopulations) ).
fof(f106,plain,
! [X0] :
( ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| ~ environment(X0)
| ~ increases(cardinality_at_time(first_movers,sK1))
| greater(growth_rate(first_movers,sK1),zero) ),
inference(resolution,[],[f90,f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ environment(X1)
| ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( zero = growth_rate(X0,X2)
| ~ constant(cardinality_at_time(X0,X2)) ) )
| ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( zero = growth_rate(X0,X2)
| ~ constant(cardinality_at_time(X0,X2)) ) )
| ~ greater(cardinality_at_time(X0,X2),zero)
| ~ subpopulation(X0,X1,X2)
| ~ in_environment(X1,X2)
| ~ environment(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( greater(cardinality_at_time(X0,X2),zero)
& subpopulation(X0,X1,X2)
& in_environment(X1,X2)
& environment(X1) )
=> ( ( decreases(cardinality_at_time(X0,X2))
=> greater(zero,growth_rate(X0,X2)) )
& ( increases(cardinality_at_time(X0,X2))
=> greater(growth_rate(X0,X2),zero) )
& ( constant(cardinality_at_time(X0,X2))
=> zero = growth_rate(X0,X2) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0,X2] :
( ( greater(cardinality_at_time(X1,X2),zero)
& subpopulation(X1,X0,X2)
& in_environment(X0,X2)
& environment(X0) )
=> ( ( decreases(cardinality_at_time(X1,X2))
=> greater(zero,growth_rate(X1,X2)) )
& ( increases(cardinality_at_time(X1,X2))
=> greater(growth_rate(X1,X2),zero) )
& ( constant(cardinality_at_time(X1,X2))
=> zero = growth_rate(X1,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wL6Q2pBBUR/Vampire---4.8_16384',mp_growth_rate) ).
fof(f90,plain,
greater(cardinality_at_time(first_movers,sK1),zero),
inference(unit_resulting_resolution,[],[f36,f37,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(first_movers,X1),zero) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) )
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) )
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& environment(X0) )
=> ( greater(cardinality_at_time(efficient_producers,X2),zero)
& greater(cardinality_at_time(first_movers,X2),zero) ) ),
file('/export/starexec/sandbox/tmp/tmp.wL6Q2pBBUR/Vampire---4.8_16384',mp_non_zero_producers) ).
fof(f37,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
? [X0,X1] :
( ( ~ greater(zero,growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,X1),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,X1))
| ~ greater(growth_rate(first_movers,X1),zero) )
& ( 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) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1] :
( ( ~ greater(zero,growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,X1),zero) )
& ( ~ greater(zero,growth_rate(efficient_producers,X1))
| ~ greater(growth_rate(first_movers,X1),zero) )
& ( 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) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
~ ! [X0,X1] :
( ( constant(number_of_organizations(X0,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) )
| ( zero = growth_rate(efficient_producers,X1)
& zero = growth_rate(first_movers,X1) ) ) ),
inference(rectify,[],[f9]) ).
fof(f9,negated_conjecture,
~ ! [X0,X2] :
( ( constant(number_of_organizations(X0,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& environment(X0) )
=> ( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ( greater(zero,growth_rate(efficient_producers,X2))
& greater(growth_rate(first_movers,X2),zero) )
| ( zero = growth_rate(efficient_producers,X2)
& zero = growth_rate(first_movers,X2) ) ) ),
inference(negated_conjecture,[],[f8]) ).
fof(f8,conjecture,
! [X0,X2] :
( ( constant(number_of_organizations(X0,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& environment(X0) )
=> ( ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) )
| ( greater(zero,growth_rate(efficient_producers,X2))
& greater(growth_rate(first_movers,X2),zero) )
| ( zero = growth_rate(efficient_producers,X2)
& zero = growth_rate(first_movers,X2) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wL6Q2pBBUR/Vampire---4.8_16384',prove_l7) ).
fof(f36,plain,
environment(sK0),
inference(cnf_transformation,[],[f19]) ).
fof(f274,plain,
( spl3_1
| spl3_7
| spl3_13 ),
inference(avatar_contradiction_clause,[],[f273]) ).
fof(f273,plain,
( $false
| spl3_1
| spl3_7
| spl3_13 ),
inference(subsumption_resolution,[],[f272,f38]) ).
fof(f38,plain,
constant(number_of_organizations(sK0,sK1)),
inference(cnf_transformation,[],[f19]) ).
fof(f272,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| spl3_1
| spl3_7
| spl3_13 ),
inference(forward_demodulation,[],[f257,f97]) ).
fof(f97,plain,
number_of_organizations(sK0,sK1) = sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)),
inference(unit_resulting_resolution,[],[f36,f95,f56]) ).
fof(f56,plain,
! [X2,X0] :
( ~ subpopulation(first_movers,X0,X2)
| ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| first_movers != X1
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ( first_movers != X1
& efficient_producers != X1
& greater(cardinality_at_time(X1,X2),zero) )
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ( first_movers != X1
& efficient_producers != X1
& greater(cardinality_at_time(X1,X2),zero) )
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( ( ( greater(cardinality_at_time(X1,X2),zero)
=> ( first_movers = X1
| efficient_producers = X1 ) )
& subpopulation(X1,X0,X2)
& environment(X0) )
=> number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
file('/export/starexec/sandbox/tmp/tmp.wL6Q2pBBUR/Vampire---4.8_16384',mp_only_members) ).
fof(f95,plain,
subpopulation(first_movers,sK0,sK1),
inference(unit_resulting_resolution,[],[f36,f89,f41]) ).
fof(f89,plain,
in_environment(sK0,sK1),
inference(unit_resulting_resolution,[],[f36,f37,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| in_environment(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& environment(X0) )
=> in_environment(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.wL6Q2pBBUR/Vampire---4.8_16384',mp_time_point_occur) ).
fof(f257,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)))
| spl3_1
| spl3_7
| spl3_13 ),
inference(unit_resulting_resolution,[],[f124,f245,f251,f61]) ).
fof(f61,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X2)
| increases(X1)
| sP2(X2,X1) ),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X2)
| increases(X1)
| sP2(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) )
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) )
| ~ constant(X0)
| sum(X1,X2) != X0 ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( constant(X0)
& sum(X1,X2) = X0 )
=> ( ( increases(X2)
& decreases(X1) )
| ( decreases(X2)
& increases(X1) )
| ( constant(X2)
& constant(X1) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X3,X4,X5] :
( ( constant(X3)
& sum(X4,X5) = X3 )
=> ( ( increases(X5)
& decreases(X4) )
| ( decreases(X5)
& increases(X4) )
| ( constant(X5)
& constant(X4) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.wL6Q2pBBUR/Vampire---4.8_16384',mp_abc_sum_increase) ).
fof(f251,plain,
( ! [X0] : ~ sP2(X0,cardinality_at_time(first_movers,sK1))
| spl3_7 ),
inference(unit_resulting_resolution,[],[f112,f49]) ).
fof(f49,plain,
! [X2,X1] :
( ~ sP2(X2,X1)
| decreases(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f112,plain,
( ~ decreases(cardinality_at_time(first_movers,sK1))
| spl3_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl3_7
<=> decreases(cardinality_at_time(first_movers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f245,plain,
( ~ increases(cardinality_at_time(first_movers,sK1))
| spl3_13 ),
inference(avatar_component_clause,[],[f244]) ).
fof(f124,plain,
( ~ constant(cardinality_at_time(efficient_producers,sK1))
| spl3_1 ),
inference(unit_resulting_resolution,[],[f36,f89,f96,f65,f91,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ environment(X1)
| ~ constant(cardinality_at_time(X0,X2))
| zero = growth_rate(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f91,plain,
greater(cardinality_at_time(efficient_producers,sK1),zero),
inference(unit_resulting_resolution,[],[f36,f37,f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(cnf_transformation,[],[f21]) ).
fof(f65,plain,
( zero != growth_rate(efficient_producers,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl3_1
<=> zero = growth_rate(efficient_producers,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f96,plain,
subpopulation(efficient_producers,sK0,sK1),
inference(unit_resulting_resolution,[],[f36,f89,f42]) ).
fof(f42,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f271,plain,
( spl3_7
| spl3_9
| spl3_13 ),
inference(avatar_contradiction_clause,[],[f270]) ).
fof(f270,plain,
( $false
| spl3_7
| spl3_9
| spl3_13 ),
inference(subsumption_resolution,[],[f269,f38]) ).
fof(f269,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| spl3_7
| spl3_9
| spl3_13 ),
inference(superposition,[],[f260,f97]) ).
fof(f260,plain,
( ! [X0] : ~ constant(sum(cardinality_at_time(first_movers,sK1),X0))
| spl3_7
| spl3_9
| spl3_13 ),
inference(unit_resulting_resolution,[],[f121,f245,f251,f59]) ).
fof(f59,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X1)
| increases(X1)
| sP2(X2,X1) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X1)
| increases(X1)
| sP2(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f121,plain,
( ~ constant(cardinality_at_time(first_movers,sK1))
| spl3_9 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl3_9
<=> constant(cardinality_at_time(first_movers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f249,plain,
( ~ spl3_13
| spl3_8
| spl3_4 ),
inference(avatar_split_clause,[],[f248,f76,f114,f244]) ).
fof(f248,plain,
( ! [X0] :
( ~ in_environment(X0,sK1)
| ~ environment(X0)
| ~ increases(cardinality_at_time(first_movers,sK1)) )
| spl3_4 ),
inference(subsumption_resolution,[],[f203,f78]) ).
fof(f78,plain,
( ~ greater(growth_rate(first_movers,sK1),zero)
| spl3_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f236,plain,
( spl3_10
| spl3_1
| spl3_11 ),
inference(avatar_split_clause,[],[f235,f175,f63,f131]) ).
fof(f131,plain,
( spl3_10
<=> decreases(cardinality_at_time(efficient_producers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f175,plain,
( spl3_11
<=> increases(cardinality_at_time(efficient_producers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f235,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| spl3_1
| spl3_11 ),
inference(subsumption_resolution,[],[f226,f189]) ).
fof(f189,plain,
( ! [X0] : ~ sP2(cardinality_at_time(efficient_producers,sK1),X0)
| spl3_11 ),
inference(unit_resulting_resolution,[],[f177,f50]) ).
fof(f50,plain,
! [X2,X1] :
( ~ sP2(X2,X1)
| increases(X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f177,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK1))
| spl3_11 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f226,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| sP2(cardinality_at_time(efficient_producers,sK1),cardinality_at_time(first_movers,sK1))
| spl3_1 ),
inference(subsumption_resolution,[],[f225,f124]) ).
fof(f225,plain,
( constant(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| sP2(cardinality_at_time(efficient_producers,sK1),cardinality_at_time(first_movers,sK1)) ),
inference(subsumption_resolution,[],[f217,f38]) ).
fof(f217,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| constant(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| sP2(cardinality_at_time(efficient_producers,sK1),cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f60,f97]) ).
fof(f60,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X2)
| decreases(X2)
| sP2(X2,X1) ),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X2)
| decreases(X2)
| sP2(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f202,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f195,f36]) ).
fof(f195,plain,
( ~ environment(sK0)
| ~ spl3_8 ),
inference(resolution,[],[f115,f89]) ).
fof(f115,plain,
( ! [X0] :
( ~ in_environment(X0,sK1)
| ~ environment(X0) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f188,plain,
( ~ spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f187,f85,f175]) ).
fof(f85,plain,
( spl3_6
<=> greater(growth_rate(efficient_producers,sK1),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f187,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK1))
| spl3_6 ),
inference(unit_resulting_resolution,[],[f36,f89,f96,f91,f87,f47]) ).
fof(f87,plain,
( ~ greater(growth_rate(efficient_producers,sK1),zero)
| spl3_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f184,plain,
( ~ spl3_2
| spl3_4
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f183]) ).
fof(f183,plain,
( $false
| ~ spl3_2
| spl3_4
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f182,f181]) ).
fof(f181,plain,
( ~ greater(zero,zero)
| ~ spl3_2
| spl3_4 ),
inference(superposition,[],[f78,f68]) ).
fof(f182,plain,
( greater(zero,zero)
| ~ spl3_2
| ~ spl3_5 ),
inference(superposition,[],[f82,f68]) ).
fof(f82,plain,
( greater(zero,growth_rate(first_movers,sK1))
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f180,plain,
( spl3_2
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f179,f119,f67]) ).
fof(f179,plain,
( zero = growth_rate(first_movers,sK1)
| ~ spl3_9 ),
inference(unit_resulting_resolution,[],[f36,f89,f95,f90,f120,f48]) ).
fof(f120,plain,
( constant(cardinality_at_time(first_movers,sK1))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f172,plain,
( spl3_5
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f149,f110,f81]) ).
fof(f149,plain,
( greater(zero,growth_rate(first_movers,sK1))
| ~ spl3_7 ),
inference(unit_resulting_resolution,[],[f36,f89,f95,f90,f111,f46]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X0,X2),zero)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ environment(X1)
| ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f111,plain,
( decreases(cardinality_at_time(first_movers,sK1))
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f171,plain,
( spl3_4
| spl3_6
| spl3_9 ),
inference(avatar_contradiction_clause,[],[f170]) ).
fof(f170,plain,
( $false
| spl3_4
| spl3_6
| spl3_9 ),
inference(subsumption_resolution,[],[f169,f38]) ).
fof(f169,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| spl3_4
| spl3_6
| spl3_9 ),
inference(forward_demodulation,[],[f162,f97]) ).
fof(f162,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)))
| spl3_4
| spl3_6
| spl3_9 ),
inference(unit_resulting_resolution,[],[f121,f103,f138,f59]) ).
fof(f138,plain,
( ! [X0] : ~ sP2(cardinality_at_time(efficient_producers,sK1),X0)
| spl3_6 ),
inference(unit_resulting_resolution,[],[f123,f50]) ).
fof(f123,plain,
( ~ increases(cardinality_at_time(efficient_producers,sK1))
| spl3_6 ),
inference(unit_resulting_resolution,[],[f36,f89,f96,f87,f91,f47]) ).
fof(f103,plain,
( ~ increases(cardinality_at_time(first_movers,sK1))
| spl3_4 ),
inference(unit_resulting_resolution,[],[f36,f89,f95,f78,f90,f47]) ).
fof(f168,plain,
( spl3_6
| spl3_9
| spl3_10 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f167,plain,
( $false
| spl3_6
| spl3_9
| spl3_10 ),
inference(subsumption_resolution,[],[f166,f38]) ).
fof(f166,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| spl3_6
| spl3_9
| spl3_10 ),
inference(forward_demodulation,[],[f164,f97]) ).
fof(f164,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)))
| spl3_6
| spl3_9
| spl3_10 ),
inference(unit_resulting_resolution,[],[f121,f133,f138,f58]) ).
fof(f58,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| constant(X1)
| decreases(X2)
| sP2(X2,X1) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( sum(X1,X2) != X0
| ~ constant(X0)
| constant(X1)
| decreases(X2)
| sP2(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f133,plain,
( ~ decreases(cardinality_at_time(efficient_producers,sK1))
| spl3_10 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f148,plain,
( spl3_7
| spl3_9
| spl3_10 ),
inference(avatar_contradiction_clause,[],[f147]) ).
fof(f147,plain,
( $false
| spl3_7
| spl3_9
| spl3_10 ),
inference(subsumption_resolution,[],[f146,f38]) ).
fof(f146,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| spl3_7
| spl3_9
| spl3_10 ),
inference(forward_demodulation,[],[f145,f97]) ).
fof(f145,plain,
( ~ constant(sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)))
| spl3_7
| spl3_9
| spl3_10 ),
inference(unit_resulting_resolution,[],[f133,f121,f135,f58]) ).
fof(f135,plain,
( ! [X0] : ~ sP2(X0,cardinality_at_time(first_movers,sK1))
| spl3_7 ),
inference(unit_resulting_resolution,[],[f112,f49]) ).
fof(f134,plain,
( spl3_3
| ~ spl3_10
| spl3_8 ),
inference(avatar_split_clause,[],[f129,f114,f131,f72]) ).
fof(f72,plain,
( spl3_3
<=> greater(zero,growth_rate(efficient_producers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f129,plain,
! [X0] :
( ~ in_environment(X0,sK1)
| ~ environment(X0)
| ~ decreases(cardinality_at_time(efficient_producers,sK1))
| greater(zero,growth_rate(efficient_producers,sK1)) ),
inference(subsumption_resolution,[],[f126,f42]) ).
fof(f126,plain,
! [X0] :
( ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| ~ environment(X0)
| ~ decreases(cardinality_at_time(efficient_producers,sK1))
| greater(zero,growth_rate(efficient_producers,sK1)) ),
inference(resolution,[],[f91,f46]) ).
fof(f88,plain,
( ~ spl3_5
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f33,f85,f81]) ).
fof(f33,plain,
( ~ greater(growth_rate(efficient_producers,sK1),zero)
| ~ greater(zero,growth_rate(first_movers,sK1)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f79,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f34,f76,f72]) ).
fof(f34,plain,
( ~ greater(growth_rate(first_movers,sK1),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK1)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f70,plain,
( ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f35,f67,f63]) ).
fof(f35,plain,
( zero != growth_rate(first_movers,sK1)
| zero != growth_rate(efficient_producers,sK1) ),
inference(cnf_transformation,[],[f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT025+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % 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
% 0.15/0.36 % Computer : n005.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:03:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 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.wL6Q2pBBUR/Vampire---4.8_16384
% 0.56/0.74 % (16651)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)
% 0.56/0.74 % (16645)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)
% 0.56/0.74 % (16648)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)
% 0.56/0.74 % (16650)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)
% 0.56/0.74 % (16649)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)
% 0.56/0.74 % (16646)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)
% 0.56/0.74 % (16652)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)
% 0.56/0.74 % (16648)Refutation not found, incomplete strategy% (16648)------------------------------
% 0.56/0.74 % (16648)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (16648)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (16648)Memory used [KB]: 961
% 0.56/0.74 % (16648)Time elapsed: 0.003 s
% 0.56/0.74 % (16648)Instructions burned: 3 (million)
% 0.56/0.74 % (16648)------------------------------
% 0.56/0.74 % (16648)------------------------------
% 0.56/0.74 % (16649)Refutation not found, incomplete strategy% (16649)------------------------------
% 0.56/0.74 % (16649)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (16649)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (16649)Memory used [KB]: 1067
% 0.56/0.74 % (16649)Time elapsed: 0.004 s
% 0.56/0.74 % (16649)Instructions burned: 4 (million)
% 0.56/0.74 % (16645)Refutation not found, incomplete strategy% (16645)------------------------------
% 0.56/0.74 % (16645)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74 % (16645)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74
% 0.56/0.74 % (16645)Memory used [KB]: 1068
% 0.56/0.74 % (16645)Time elapsed: 0.004 s
% 0.56/0.74 % (16645)Instructions burned: 5 (million)
% 0.56/0.74 % (16651)First to succeed.
% 0.56/0.74 % (16649)------------------------------
% 0.56/0.74 % (16649)------------------------------
% 0.56/0.74 % (16645)------------------------------
% 0.56/0.74 % (16645)------------------------------
% 0.56/0.74 % (16650)Also succeeded, but the first one will report.
% 0.56/0.74 % (16651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16641"
% 0.56/0.74 % (16651)Refutation found. Thanks to Tanya!
% 0.56/0.74 % SZS status Theorem for Vampire---4
% 0.56/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75 % (16651)------------------------------
% 0.56/0.75 % (16651)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75 % (16651)Termination reason: Refutation
% 0.56/0.75
% 0.56/0.75 % (16651)Memory used [KB]: 1124
% 0.56/0.75 % (16651)Time elapsed: 0.006 s
% 0.56/0.75 % (16651)Instructions burned: 14 (million)
% 0.56/0.75 % (16641)Success in time 0.37 s
% 0.56/0.75 % Vampire---4.8 exiting
%------------------------------------------------------------------------------