TSTP Solution File: MGT024+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:50:57 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 99 ( 5 unt; 0 def)
% Number of atoms : 433 ( 46 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 528 ( 194 ~; 223 |; 79 &)
% ( 12 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 90 ( 82 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f72,f81,f91,f93,f99,f105,f111,f117,f125,f127,f129,f142,f155,f156,f157,f158]) ).
fof(f158,plain,
( ~ spl2_7
| spl2_2
| ~ spl2_12
| spl2_3
| spl2_5 ),
inference(avatar_split_clause,[],[f132,f74,f65,f114,f60,f84]) ).
fof(f84,plain,
( spl2_7
<=> environment(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f60,plain,
( spl2_2
<=> greater(growth_rate(efficient_producers,sK1),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f114,plain,
( spl2_12
<=> constant(number_of_organizations(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f65,plain,
( spl2_3
<=> zero = growth_rate(efficient_producers,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f74,plain,
( spl2_5
<=> greater(growth_rate(first_movers,sK1),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f132,plain,
( greater(growth_rate(first_movers,sK1),zero)
| zero = growth_rate(efficient_producers,sK1)
| ~ constant(number_of_organizations(sK0,sK1))
| greater(growth_rate(efficient_producers,sK1),zero)
| ~ environment(sK0) ),
inference(resolution,[],[f50,f39]) ).
fof(f39,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( ~ greater(growth_rate(first_movers,sK1),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK1)) )
& ( zero != growth_rate(efficient_producers,sK1)
| zero != growth_rate(first_movers,sK1) )
& greater_or_equal(sK1,equilibrium(sK0))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& ( ~ greater(zero,growth_rate(first_movers,sK1))
| ~ greater(growth_rate(efficient_producers,sK1),zero) )
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f30,f31]) ).
fof(f31,plain,
( ? [X0,X1] :
( ( ~ greater(growth_rate(first_movers,X1),zero)
| ~ greater(zero,growth_rate(efficient_producers,X1)) )
& ( zero != growth_rate(efficient_producers,X1)
| zero != growth_rate(first_movers,X1) )
& greater_or_equal(X1,equilibrium(X0))
& subpopulations(first_movers,efficient_producers,X0,X1)
& ( ~ greater(zero,growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,X1),zero) )
& environment(X0) )
=> ( ( ~ greater(growth_rate(first_movers,sK1),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK1)) )
& ( zero != growth_rate(efficient_producers,sK1)
| zero != growth_rate(first_movers,sK1) )
& greater_or_equal(sK1,equilibrium(sK0))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& ( ~ greater(zero,growth_rate(first_movers,sK1))
| ~ greater(growth_rate(efficient_producers,sK1),zero) )
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
? [X0,X1] :
( ( ~ greater(growth_rate(first_movers,X1),zero)
| ~ greater(zero,growth_rate(efficient_producers,X1)) )
& ( zero != growth_rate(efficient_producers,X1)
| zero != growth_rate(first_movers,X1) )
& greater_or_equal(X1,equilibrium(X0))
& subpopulations(first_movers,efficient_producers,X0,X1)
& ( ~ greater(zero,growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,X1),zero) )
& environment(X0) ),
inference(rectify,[],[f15]) ).
fof(f15,plain,
? [X1,X0] :
( ( ~ greater(growth_rate(first_movers,X0),zero)
| ~ greater(zero,growth_rate(efficient_producers,X0)) )
& ( zero != growth_rate(efficient_producers,X0)
| zero != growth_rate(first_movers,X0) )
& greater_or_equal(X0,equilibrium(X1))
& subpopulations(first_movers,efficient_producers,X1,X0)
& ( ~ greater(zero,growth_rate(first_movers,X0))
| ~ greater(growth_rate(efficient_producers,X0),zero) )
& environment(X1) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
? [X1,X0] :
( ( zero != growth_rate(efficient_producers,X0)
| zero != growth_rate(first_movers,X0) )
& ( ~ greater(zero,growth_rate(first_movers,X0))
| ~ greater(growth_rate(efficient_producers,X0),zero) )
& ( ~ greater(growth_rate(first_movers,X0),zero)
| ~ greater(zero,growth_rate(efficient_producers,X0)) )
& subpopulations(first_movers,efficient_producers,X1,X0)
& environment(X1)
& greater_or_equal(X0,equilibrium(X1)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X1,X0] :
( ( subpopulations(first_movers,efficient_producers,X1,X0)
& environment(X1)
& greater_or_equal(X0,equilibrium(X1)) )
=> ( ( zero = growth_rate(efficient_producers,X0)
& zero = growth_rate(first_movers,X0) )
| ( greater(growth_rate(efficient_producers,X0),zero)
& greater(zero,growth_rate(first_movers,X0)) )
| ( greater(zero,growth_rate(efficient_producers,X0))
& greater(growth_rate(first_movers,X0),zero) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X1,X0] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
=> ( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( zero = growth_rate(first_movers,X1)
& zero = growth_rate(efficient_producers,X1) )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X1,X0] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& greater_or_equal(X1,equilibrium(X0)) )
=> ( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( zero = growth_rate(first_movers,X1)
& zero = growth_rate(efficient_producers,X1) )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l6) ).
fof(f50,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater(growth_rate(efficient_producers,X0),zero)
| ~ environment(X1)
| greater(growth_rate(first_movers,X0),zero)
| zero = growth_rate(efficient_producers,X0)
| ~ constant(number_of_organizations(X1,X0)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ( zero = growth_rate(first_movers,X0)
& zero = growth_rate(efficient_producers,X0) )
| ( greater(growth_rate(efficient_producers,X0),zero)
& greater(zero,growth_rate(first_movers,X0)) )
| ~ environment(X1)
| ~ constant(number_of_organizations(X1,X0))
| ( greater(growth_rate(first_movers,X0),zero)
& greater(zero,growth_rate(efficient_producers,X0)) ) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X1,X0] :
( ( greater(growth_rate(first_movers,X0),zero)
& greater(zero,growth_rate(efficient_producers,X0)) )
| ( greater(growth_rate(efficient_producers,X0),zero)
& greater(zero,growth_rate(first_movers,X0)) )
| ( zero = growth_rate(first_movers,X0)
& zero = growth_rate(efficient_producers,X0) )
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ constant(number_of_organizations(X1,X0))
| ~ environment(X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X0] :
( ( subpopulations(first_movers,efficient_producers,X1,X0)
& constant(number_of_organizations(X1,X0))
& environment(X1) )
=> ( ( greater(growth_rate(first_movers,X0),zero)
& greater(zero,growth_rate(efficient_producers,X0)) )
| ( greater(growth_rate(efficient_producers,X0),zero)
& greater(zero,growth_rate(first_movers,X0)) )
| ( zero = growth_rate(first_movers,X0)
& zero = growth_rate(efficient_producers,X0) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( ( environment(X0)
& constant(number_of_organizations(X0,X1))
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ( ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( zero = growth_rate(efficient_producers,X1)
& zero = growth_rate(first_movers,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l7) ).
fof(f157,plain,
( spl2_5
| spl2_2
| ~ spl2_7
| spl2_4
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f148,f114,f69,f84,f60,f74]) ).
fof(f69,plain,
( spl2_4
<=> zero = growth_rate(first_movers,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f148,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| zero = growth_rate(first_movers,sK1)
| ~ environment(sK0)
| greater(growth_rate(efficient_producers,sK1),zero)
| greater(growth_rate(first_movers,sK1),zero) ),
inference(resolution,[],[f54,f39]) ).
fof(f54,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| ~ constant(number_of_organizations(X1,X0))
| zero = growth_rate(first_movers,X0)
| greater(growth_rate(efficient_producers,X0),zero)
| greater(growth_rate(first_movers,X0),zero) ),
inference(cnf_transformation,[],[f19]) ).
fof(f156,plain,
( spl2_4
| ~ spl2_12
| spl2_6
| spl2_1
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f134,f84,f56,f78,f114,f69]) ).
fof(f78,plain,
( spl2_6
<=> greater(zero,growth_rate(efficient_producers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f56,plain,
( spl2_1
<=> greater(zero,growth_rate(first_movers,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f134,plain,
( ~ environment(sK0)
| greater(zero,growth_rate(first_movers,sK1))
| greater(zero,growth_rate(efficient_producers,sK1))
| ~ constant(number_of_organizations(sK0,sK1))
| zero = growth_rate(first_movers,sK1) ),
inference(resolution,[],[f51,f39]) ).
fof(f51,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater(zero,growth_rate(first_movers,X0))
| ~ environment(X1)
| ~ constant(number_of_organizations(X1,X0))
| greater(zero,growth_rate(efficient_producers,X0))
| zero = growth_rate(first_movers,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f155,plain,
( ~ spl2_7
| spl2_6
| spl2_2
| spl2_4
| ~ spl2_12 ),
inference(avatar_split_clause,[],[f143,f114,f69,f60,f78,f84]) ).
fof(f143,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| zero = growth_rate(first_movers,sK1)
| greater(growth_rate(efficient_producers,sK1),zero)
| greater(zero,growth_rate(efficient_producers,sK1))
| ~ environment(sK0) ),
inference(resolution,[],[f53,f39]) ).
fof(f53,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X0),zero)
| ~ constant(number_of_organizations(X1,X0))
| greater(zero,growth_rate(efficient_producers,X0))
| zero = growth_rate(first_movers,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f142,plain,
( ~ spl2_12
| spl2_1
| spl2_4
| spl2_5
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f141,f84,f74,f69,f56,f114]) ).
fof(f141,plain,
( ~ environment(sK0)
| greater(growth_rate(first_movers,sK1),zero)
| zero = growth_rate(first_movers,sK1)
| greater(zero,growth_rate(first_movers,sK1))
| ~ constant(number_of_organizations(sK0,sK1)) ),
inference(resolution,[],[f52,f39]) ).
fof(f52,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| greater(zero,growth_rate(first_movers,X0))
| greater(growth_rate(first_movers,X0),zero)
| ~ constant(number_of_organizations(X1,X0))
| zero = growth_rate(first_movers,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f129,plain,
( ~ spl2_12
| spl2_3
| spl2_2
| spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f128,f84,f78,f60,f65,f114]) ).
fof(f128,plain,
( ~ environment(sK0)
| greater(zero,growth_rate(efficient_producers,sK1))
| greater(growth_rate(efficient_producers,sK1),zero)
| zero = growth_rate(efficient_producers,sK1)
| ~ constant(number_of_organizations(sK0,sK1)) ),
inference(resolution,[],[f49,f39]) ).
fof(f49,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater(zero,growth_rate(efficient_producers,X0))
| ~ constant(number_of_organizations(X1,X0))
| greater(growth_rate(efficient_producers,X0),zero)
| ~ environment(X1)
| zero = growth_rate(efficient_producers,X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f127,plain,
( spl2_1
| spl2_5
| spl2_3
| ~ spl2_12
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f126,f84,f114,f65,f74,f56]) ).
fof(f126,plain,
( ~ environment(sK0)
| ~ constant(number_of_organizations(sK0,sK1))
| zero = growth_rate(efficient_producers,sK1)
| greater(growth_rate(first_movers,sK1),zero)
| greater(zero,growth_rate(first_movers,sK1)) ),
inference(resolution,[],[f48,f39]) ).
fof(f48,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| zero = growth_rate(efficient_producers,X0)
| ~ constant(number_of_organizations(X1,X0))
| greater(zero,growth_rate(first_movers,X0))
| greater(growth_rate(first_movers,X0),zero) ),
inference(cnf_transformation,[],[f19]) ).
fof(f125,plain,
( ~ spl2_12
| spl2_6
| ~ spl2_7
| spl2_3
| spl2_1 ),
inference(avatar_split_clause,[],[f124,f56,f65,f84,f78,f114]) ).
fof(f124,plain,
( greater(zero,growth_rate(first_movers,sK1))
| zero = growth_rate(efficient_producers,sK1)
| ~ environment(sK0)
| greater(zero,growth_rate(efficient_producers,sK1))
| ~ constant(number_of_organizations(sK0,sK1)) ),
inference(resolution,[],[f47,f39]) ).
fof(f47,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater(zero,growth_rate(first_movers,X0))
| ~ constant(number_of_organizations(X1,X0))
| zero = growth_rate(efficient_producers,X0)
| greater(zero,growth_rate(efficient_producers,X0))
| ~ environment(X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f117,plain,
( ~ spl2_7
| ~ spl2_8
| spl2_12
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f112,f108,f114,f88,f84]) ).
fof(f88,plain,
( spl2_8
<=> in_environment(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f108,plain,
( spl2_11
<=> constant(resources(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f112,plain,
( constant(number_of_organizations(sK0,sK1))
| ~ in_environment(sK0,sK1)
| ~ environment(sK0)
| ~ spl2_11 ),
inference(resolution,[],[f110,f35]) ).
fof(f35,plain,
! [X0,X1] :
( ~ constant(resources(X1,X0))
| constant(number_of_organizations(X1,X0))
| ~ in_environment(X1,X0)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ environment(X1)
| ( ( ~ decreases(number_of_organizations(X1,X0))
| ~ decreases(resources(X1,X0)) )
& ( ~ constant(resources(X1,X0))
| constant(number_of_organizations(X1,X0)) ) )
| ~ in_environment(X1,X0) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ~ environment(X0)
| ( ( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1)) )
& ( ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1)) ) )
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ( ~ decreases(number_of_organizations(X0,X1))
| ~ decreases(resources(X0,X1)) )
& ( ~ constant(resources(X0,X1))
| constant(number_of_organizations(X0,X1)) ) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( ( constant(resources(X0,X1))
=> constant(number_of_organizations(X0,X1)) )
& ( decreases(resources(X0,X1))
=> ~ decreases(number_of_organizations(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a6) ).
fof(f110,plain,
( constant(resources(sK0,sK1))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( spl2_9
| ~ spl2_7
| spl2_11
| ~ spl2_8
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f106,f102,f88,f108,f84,f96]) ).
fof(f96,plain,
( spl2_9
<=> greater(equilibrium(sK0),sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f102,plain,
( spl2_10
<=> greater(number_of_organizations(sK0,sK1),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f106,plain,
( ~ in_environment(sK0,sK1)
| constant(resources(sK0,sK1))
| ~ environment(sK0)
| greater(equilibrium(sK0),sK1)
| ~ spl2_10 ),
inference(resolution,[],[f44,f104]) ).
fof(f104,plain,
( greater(number_of_organizations(sK0,sK1),zero)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater(number_of_organizations(X1,X0),zero)
| ~ in_environment(X1,X0)
| greater(equilibrium(X1),X0)
| ~ environment(X1)
| constant(resources(X1,X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ~ environment(X1)
| ~ in_environment(X1,X0)
| ( ( ~ greater(equilibrium(X1),X0)
| decreases(resources(X1,X0)) )
& ( greater(equilibrium(X1),X0)
| constant(resources(X1,X0)) ) )
| ~ greater(number_of_organizations(X1,X0),zero) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X1,X0] :
( ( ( ~ greater(equilibrium(X1),X0)
| decreases(resources(X1,X0)) )
& ( greater(equilibrium(X1),X0)
| constant(resources(X1,X0)) ) )
| ~ environment(X1)
| ~ greater(number_of_organizations(X1,X0),zero)
| ~ in_environment(X1,X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X1,X0] :
( ( environment(X1)
& greater(number_of_organizations(X1,X0),zero)
& in_environment(X1,X0) )
=> ( ( ~ greater(equilibrium(X1),X0)
=> constant(resources(X1,X0)) )
& ( greater(equilibrium(X1),X0)
=> decreases(resources(X1,X0)) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( ( greater(number_of_organizations(X0,X1),zero)
& environment(X0)
& in_environment(X0,X1) )
=> ( ( greater(equilibrium(X0),X1)
=> decreases(resources(X0,X1)) )
& ( ~ greater(equilibrium(X0),X1)
=> constant(resources(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3) ).
fof(f105,plain,
( ~ spl2_7
| spl2_10 ),
inference(avatar_split_clause,[],[f100,f102,f84]) ).
fof(f100,plain,
( greater(number_of_organizations(sK0,sK1),zero)
| ~ environment(sK0) ),
inference(resolution,[],[f34,f39]) ).
fof(f34,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| greater(number_of_organizations(X0,X1),zero) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| greater(number_of_organizations(X1,X0),zero) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( greater(number_of_organizations(X1,X0),zero)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X1,X0)
& environment(X1) )
=> greater(number_of_organizations(X1,X0),zero) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_number_of_organizations) ).
fof(f99,plain,
( ~ spl2_7
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f94,f96,f84]) ).
fof(f94,plain,
( ~ greater(equilibrium(sK0),sK1)
| ~ environment(sK0) ),
inference(resolution,[],[f46,f40]) ).
fof(f40,plain,
greater_or_equal(sK1,equilibrium(sK0)),
inference(cnf_transformation,[],[f32]) ).
fof(f46,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,equilibrium(X1))
| ~ greater(equilibrium(X1),X0)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ~ environment(X1)
| ~ greater(equilibrium(X1),X0)
| ~ greater_or_equal(X0,equilibrium(X1)) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ~ environment(X0)
| ~ greater(equilibrium(X0),X1)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ~ greater(equilibrium(X0),X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,equilibrium(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( environment(X0)
& greater_or_equal(X1,equilibrium(X0)) )
=> ~ greater(equilibrium(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_equilibrium) ).
fof(f93,plain,
spl2_7,
inference(avatar_contradiction_clause,[],[f92]) ).
fof(f92,plain,
( $false
| spl2_7 ),
inference(resolution,[],[f86,f37]) ).
fof(f37,plain,
environment(sK0),
inference(cnf_transformation,[],[f32]) ).
fof(f86,plain,
( ~ environment(sK0)
| spl2_7 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f91,plain,
( ~ spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f82,f88,f84]) ).
fof(f82,plain,
( in_environment(sK0,sK1)
| ~ environment(sK0) ),
inference(resolution,[],[f43,f39]) ).
fof(f43,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| in_environment(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| in_environment(X1,X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( in_environment(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X1,X0] :
( ( subpopulations(first_movers,efficient_producers,X1,X0)
& environment(X1) )
=> in_environment(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
fof(f81,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f42,f78,f74]) ).
fof(f42,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1))
| ~ greater(growth_rate(first_movers,sK1),zero) ),
inference(cnf_transformation,[],[f32]) ).
fof(f72,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f41,f69,f65]) ).
fof(f41,plain,
( zero != growth_rate(first_movers,sK1)
| zero != growth_rate(efficient_producers,sK1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f63,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f38,f60,f56]) ).
fof(f38,plain,
( ~ greater(growth_rate(efficient_producers,sK1),zero)
| ~ greater(zero,growth_rate(first_movers,sK1)) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT024+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 03:17:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (1583)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.50 % (1576)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (1567)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (1558)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.50 % (1562)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.50 % (1559)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.51 % (1567)Instruction limit reached!
% 0.19/0.51 % (1567)------------------------------
% 0.19/0.51 % (1567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1567)Termination reason: Unknown
% 0.19/0.51 % (1567)Termination phase: Saturation
% 0.19/0.51
% 0.19/0.51 % (1567)Memory used [KB]: 5884
% 0.19/0.51 % (1567)Time elapsed: 0.005 s
% 0.19/0.51 % (1567)Instructions burned: 3 (million)
% 0.19/0.51 % (1567)------------------------------
% 0.19/0.51 % (1567)------------------------------
% 0.19/0.51 % (1566)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (1576)First to succeed.
% 0.19/0.51 % (1576)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (1576)------------------------------
% 0.19/0.51 % (1576)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (1576)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (1576)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (1576)Memory used [KB]: 6012
% 0.19/0.51 % (1576)Time elapsed: 0.060 s
% 0.19/0.51 % (1576)Instructions burned: 4 (million)
% 0.19/0.51 % (1576)------------------------------
% 0.19/0.51 % (1576)------------------------------
% 0.19/0.51 % (1551)Success in time 0.165 s
%------------------------------------------------------------------------------