TSTP Solution File: MGT023+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT023+2 : 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 17:50:56 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 62 ( 8 unt; 0 def)
% Number of atoms : 312 ( 19 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 402 ( 152 ~; 151 |; 80 &)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 94 !; 25 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f76,plain,
$false,
inference(subsumption_resolution,[],[f74,f38]) ).
fof(f38,plain,
~ in_environment(sK3,critical_point(sK3)),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( environment(sK3)
& ~ in_environment(sK3,critical_point(sK3))
& stable(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f13,f24]) ).
fof(f24,plain,
( ? [X0] :
( environment(X0)
& ~ in_environment(X0,critical_point(X0))
& stable(X0) )
=> ( environment(sK3)
& ~ in_environment(sK3,critical_point(sK3))
& stable(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
? [X0] :
( environment(X0)
& ~ in_environment(X0,critical_point(X0))
& stable(X0) ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& environment(X0)
& stable(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( ( environment(X0)
& stable(X0) )
=> in_environment(X0,critical_point(X0)) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> in_environment(X0,critical_point(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5) ).
fof(f74,plain,
in_environment(sK3,critical_point(sK3)),
inference(backward_demodulation,[],[f59,f72]) ).
fof(f72,plain,
sK2(sK3) = critical_point(sK3),
inference(subsumption_resolution,[],[f70,f39]) ).
fof(f39,plain,
environment(sK3),
inference(cnf_transformation,[],[f25]) ).
fof(f70,plain,
( sK2(sK3) = critical_point(sK3)
| ~ environment(sK3) ),
inference(resolution,[],[f67,f57]) ).
fof(f57,plain,
~ sP0(sK3),
inference(unit_resulting_resolution,[],[f39,f37,f56]) ).
fof(f56,plain,
! [X0] :
( ~ sP0(X0)
| ~ stable(X0)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f55,f43]) ).
fof(f43,plain,
! [X0] :
( in_environment(X0,sK5(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ~ environment(X0)
| ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK5(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK5(X0)) )
| ~ stable(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f15,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
=> ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK5(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ~ environment(X0)
| ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f55,plain,
! [X0] :
( ~ sP0(X0)
| ~ in_environment(X0,sK5(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f54,plain,
! [X0] :
( ~ sP0(X0)
| ~ sP0(X0)
| ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,sK5(X0))
| ~ in_environment(X0,sK5(X0)) ),
inference(resolution,[],[f47,f33]) ).
fof(f33,plain,
! [X0,X1] :
( greater_or_equal(sK1(X0,X1),X1)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ( greater_or_equal(sK1(X0,X1),X1)
& subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1))
& ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1))) ) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f18,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ? [X2] :
( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
=> ( greater_or_equal(sK1(X0,X1),X1)
& subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1))
& ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1))) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater_or_equal(sK1(X0,X1),sK5(X0))
| ~ in_environment(X0,X1)
| ~ sP0(X0)
| ~ stable(X0)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f46,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f46,plain,
! [X0,X1] :
( ~ stable(X0)
| greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(sK1(X0,X1),sK5(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f44,f32]) ).
fof(f32,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1))
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f44,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ stable(X0)
| ~ greater_or_equal(X2,sK5(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f37,plain,
stable(sK3),
inference(cnf_transformation,[],[f25]) ).
fof(f67,plain,
! [X0] :
( sP0(X0)
| critical_point(X0) = sK2(X0)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f66,f35]) ).
fof(f35,plain,
! [X0] :
( in_environment(X0,sK2(X0))
| ~ environment(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
& in_environment(X0,sK2(X0))
& ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK2(X0)) ) )
| sP0(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f22]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1)
& ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1) ) )
=> ( ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
& in_environment(X0,sK2(X0))
& ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK2(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1)
& ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1) ) )
| sP0(X0)
| ~ environment(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ? [X3] :
( ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3)
& ! [X4] :
( ~ subpopulations(first_movers,efficient_producers,X0,X4)
| greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3) ) )
| sP0(X0)
| ~ environment(X0) ),
inference(definition_folding,[],[f11,f16]) ).
fof(f11,plain,
! [X0] :
( ? [X3] :
( ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3)
& ! [X4] :
( ~ subpopulations(first_movers,efficient_producers,X0,X4)
| greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3) ) )
| ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) )
| ~ environment(X0) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater(X4,X3) )
& in_environment(X0,X3)
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
| ~ environment(X0)
| ! [X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
| ~ in_environment(X0,X1) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,plain,
! [X0] :
( ( environment(X0)
& ? [X1] :
( ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) ) )
=> ? [X3] :
( ! [X4] :
( ( subpopulations(first_movers,efficient_producers,X0,X4)
& greater(X4,X3) )
=> greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) )
& in_environment(X0,X3)
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( environment(X0)
& ? [X1] :
( ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) ) )
=> ? [X1] :
( ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1)
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
fof(f66,plain,
! [X0] :
( sP0(X0)
| ~ environment(X0)
| ~ in_environment(X0,sK2(X0))
| critical_point(X0) = sK2(X0) ),
inference(subsumption_resolution,[],[f65,f36]) ).
fof(f36,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| sP0(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f65,plain,
! [X0] :
( greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| ~ environment(X0)
| critical_point(X0) = sK2(X0)
| ~ in_environment(X0,sK2(X0))
| sP0(X0) ),
inference(duplicate_literal_removal,[],[f64]) ).
fof(f64,plain,
! [X0] :
( sP0(X0)
| ~ environment(X0)
| critical_point(X0) = sK2(X0)
| greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| ~ environment(X0)
| ~ in_environment(X0,sK2(X0))
| critical_point(X0) = sK2(X0)
| ~ in_environment(X0,sK2(X0)) ),
inference(resolution,[],[f52,f40]) ).
fof(f40,plain,
! [X0,X1] :
( greater(sK4(X0,X1),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
& subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1))
& greater(sK4(X0,X1),X1) )
| ~ in_environment(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f26,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) )
=> ( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
& subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1))
& greater(sK4(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) )
| ~ in_environment(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
! [X1,X0] :
( critical_point(X1) = X0
| ~ environment(X1)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater(X2,X0) )
| ~ in_environment(X1,X0) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X1,X0] :
( critical_point(X1) = X0
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X1,X2)
& greater(X2,X0) )
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(X1)
| ~ in_environment(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X1,X0] :
( ( ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X1,X2)
& greater(X2,X0) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
& environment(X1)
& in_environment(X1,X0) )
=> critical_point(X1) = X0 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( environment(X0)
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) )
=> critical_point(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f52,plain,
! [X2,X3] :
( ~ greater(sK4(X3,X2),sK2(X3))
| sP0(X3)
| critical_point(X3) = X2
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ in_environment(X3,X2)
| ~ environment(X3) ),
inference(subsumption_resolution,[],[f51,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f51,plain,
! [X2,X3] :
( ~ in_environment(X3,X2)
| critical_point(X3) = X2
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| greater(growth_rate(efficient_producers,sK4(X3,X2)),growth_rate(first_movers,sK4(X3,X2)))
| sP0(X3)
| ~ greater(sK4(X3,X2),sK2(X3))
| ~ environment(X3) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f49,plain,
! [X2,X3] :
( critical_point(X3) = X2
| ~ greater(sK4(X3,X2),sK2(X3))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| sP0(X3)
| ~ environment(X3)
| ~ in_environment(X3,X2)
| ~ environment(X3)
| greater(growth_rate(efficient_producers,sK4(X3,X2)),growth_rate(first_movers,sK4(X3,X2))) ),
inference(resolution,[],[f41,f34]) ).
fof(f34,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0)
| ~ greater(X2,sK2(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
in_environment(sK3,sK2(sK3)),
inference(unit_resulting_resolution,[],[f39,f57,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 03:18:10 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.50 % (2799)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (2791)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)
% 0.20/0.51 % (2791)Refutation not found, incomplete strategy% (2791)------------------------------
% 0.20/0.51 % (2791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2799)First to succeed.
% 0.20/0.51 % (2791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2791)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51
% 0.20/0.51 % (2791)Memory used [KB]: 5884
% 0.20/0.51 % (2791)Time elapsed: 0.078 s
% 0.20/0.51 % (2791)Instructions burned: 2 (million)
% 0.20/0.51 % (2791)------------------------------
% 0.20/0.51 % (2791)------------------------------
% 0.20/0.51 % (2799)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (2799)------------------------------
% 0.20/0.51 % (2799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (2799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (2799)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (2799)Memory used [KB]: 6012
% 0.20/0.51 % (2799)Time elapsed: 0.087 s
% 0.20/0.51 % (2799)Instructions burned: 3 (million)
% 0.20/0.51 % (2799)------------------------------
% 0.20/0.51 % (2799)------------------------------
% 0.20/0.51 % (2777)Success in time 0.162 s
%------------------------------------------------------------------------------