TSTP Solution File: MGT023+2 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n026.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 17:51:25 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 7 unt; 0 def)
% Number of atoms : 341 ( 22 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 433 ( 166 ~; 168 |; 78 &)
% ( 2 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 118 ( 94 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f119,plain,
$false,
inference(avatar_sat_refutation,[],[f82,f92,f118]) ).
fof(f118,plain,
~ spl7_1,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f116,f42]) ).
fof(f42,plain,
stable(sK5),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( environment(sK5)
& stable(sK5)
& ~ in_environment(sK5,critical_point(sK5)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f11,f28]) ).
fof(f28,plain,
( ? [X0] :
( environment(X0)
& stable(X0)
& ~ in_environment(X0,critical_point(X0)) )
=> ( environment(sK5)
& stable(sK5)
& ~ in_environment(sK5,critical_point(sK5)) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0] :
( environment(X0)
& stable(X0)
& ~ in_environment(X0,critical_point(X0)) ),
inference(flattening,[],[f10]) ).
fof(f10,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(f116,plain,
( ~ stable(sK5)
| ~ spl7_1 ),
inference(subsumption_resolution,[],[f115,f43]) ).
fof(f43,plain,
environment(sK5),
inference(cnf_transformation,[],[f29]) ).
fof(f115,plain,
( ~ environment(sK5)
| ~ stable(sK5)
| ~ spl7_1 ),
inference(resolution,[],[f77,f50]) ).
fof(f50,plain,
! [X0] :
( ~ sP0(X0)
| ~ environment(X0)
| ~ stable(X0) ),
inference(subsumption_resolution,[],[f49,f36]) ).
fof(f36,plain,
! [X0] :
( in_environment(X0,sK3(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| ( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK3(X0)) )
& in_environment(X0,sK3(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f15,f24]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,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_or_equal(X2,sK3(X0)) )
& in_environment(X0,sK3(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| ? [X1] :
( ! [X2] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1) )
& in_environment(X0,X1) ) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [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) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( stable(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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f49,plain,
! [X0] :
( ~ in_environment(X0,sK3(X0))
| ~ sP0(X0)
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f48]) ).
fof(f48,plain,
! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK3(X0))
| ~ in_environment(X0,sK3(X0))
| ~ stable(X0)
| ~ sP0(X0)
| ~ sP0(X0) ),
inference(resolution,[],[f47,f32]) ).
fof(f32,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),sK3(X0))
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ sP0(X0) ),
inference(subsumption_resolution,[],[f46,f30]) ).
fof(f30,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] :
( ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
| ~ sP0(X0)
| ~ stable(X0)
| ~ greater_or_equal(sK1(X0,X1),sK3(X0))
| ~ environment(X0) ),
inference(resolution,[],[f37,f31]) ).
fof(f31,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1))
| ~ sP0(X0)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK3(X0))
| ~ environment(X0)
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(cnf_transformation,[],[f25]) ).
fof(f77,plain,
( sP0(sK5)
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl7_1
<=> sP0(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).
fof(f92,plain,
( spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f91,f79,f75]) ).
fof(f79,plain,
( spl7_2
<=> sK2(sK5) = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).
fof(f91,plain,
( sP0(sK5)
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f90,f43]) ).
fof(f90,plain,
( sP0(sK5)
| ~ environment(sK5)
| ~ spl7_2 ),
inference(subsumption_resolution,[],[f89,f45]) ).
fof(f45,plain,
~ in_environment(sK5,sF6),
inference(definition_folding,[],[f41,f44]) ).
fof(f44,plain,
sF6 = critical_point(sK5),
introduced(function_definition,[]) ).
fof(f41,plain,
~ in_environment(sK5,critical_point(sK5)),
inference(cnf_transformation,[],[f29]) ).
fof(f89,plain,
( in_environment(sK5,sF6)
| ~ environment(sK5)
| sP0(sK5)
| ~ spl7_2 ),
inference(superposition,[],[f34,f81]) ).
fof(f81,plain,
( sK2(sK5) = sF6
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f34,plain,
! [X0] :
( in_environment(X0,sK2(X0))
| ~ environment(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ! [X2] :
( ~ greater(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,sK2(X0))
& ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0))) )
| ~ environment(X0)
| sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f21,f22]) ).
fof(f22,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| 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)) )
=> ( ! [X2] :
( ~ greater(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,sK2(X0))
& ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0))) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| 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)) )
| ~ environment(X0)
| sP0(X0) ),
inference(rectify,[],[f17]) ).
fof(f17,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| 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)) )
| ~ environment(X0)
| sP0(X0) ),
inference(definition_folding,[],[f9,f16]) ).
fof(f9,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| 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)) )
| ~ environment(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)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ? [X3] :
( ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3)
& ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater(X4,X3) ) )
| ! [X1] :
( ~ in_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) ) )
| ~ environment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,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)) ) )
& environment(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(X4,X3) )
=> greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) ) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [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)) ) )
& environment(X0) )
=> ? [X1] :
( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,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) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
fof(f82,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f73,f79,f75]) ).
fof(f73,plain,
( sK2(sK5) = sF6
| sP0(sK5) ),
inference(forward_demodulation,[],[f72,f44]) ).
fof(f72,plain,
( sK2(sK5) = critical_point(sK5)
| sP0(sK5) ),
inference(resolution,[],[f71,f43]) ).
fof(f71,plain,
! [X0] :
( ~ environment(X0)
| sP0(X0)
| critical_point(X0) = sK2(X0) ),
inference(subsumption_resolution,[],[f70,f33]) ).
fof(f33,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| sP0(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f70,plain,
! [X0] :
( ~ environment(X0)
| sP0(X0)
| greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| critical_point(X0) = sK2(X0) ),
inference(subsumption_resolution,[],[f69,f34]) ).
fof(f69,plain,
! [X0] :
( critical_point(X0) = sK2(X0)
| ~ in_environment(X0,sK2(X0))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| sP0(X0) ),
inference(duplicate_literal_removal,[],[f66]) ).
fof(f66,plain,
! [X0] :
( critical_point(X0) = sK2(X0)
| ~ environment(X0)
| ~ environment(X0)
| sP0(X0)
| ~ environment(X0)
| sP0(X0)
| greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
| critical_point(X0) = sK2(X0)
| ~ in_environment(X0,sK2(X0))
| ~ in_environment(X0,sK2(X0)) ),
inference(resolution,[],[f61,f52]) ).
fof(f52,plain,
! [X0,X1] :
( greater(sK4(sK2(X0),X1),sK2(X0))
| ~ in_environment(X1,sK2(X0))
| ~ environment(X0)
| sP0(X0)
| critical_point(X1) = sK2(X0)
| ~ environment(X1) ),
inference(resolution,[],[f40,f33]) ).
fof(f40,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(sK4(X0,X1),X0)
| critical_point(X1) = X0
| ~ environment(X1)
| ~ in_environment(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( greater(sK4(X0,X1),X0)
& ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
& subpopulations(first_movers,efficient_producers,X1,sK4(X0,X1)) )
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| critical_point(X1) = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f13,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [X2] :
( greater(X2,X0)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ( greater(sK4(X0,X1),X0)
& ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
& subpopulations(first_movers,efficient_producers,X1,sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X0,X1] :
( ? [X2] :
( greater(X2,X0)
& ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X1,X2) )
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| critical_point(X1) = X0 ),
inference(flattening,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( critical_point(X1) = X0
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X0)
& subpopulations(first_movers,efficient_producers,X1,X2) )
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( ( environment(X1)
& in_environment(X1,X0)
& ! [X2] :
( ( greater(X2,X0)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) )
=> critical_point(X1) = X0 ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( ( ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& environment(X0)
& ! [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) )
=> critical_point(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f61,plain,
! [X0,X1] :
( ~ greater(sK4(X0,X1),sK2(X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| sP0(X1)
| critical_point(X1) = X0
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(subsumption_resolution,[],[f58,f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| critical_point(X1) = X0 ),
inference(cnf_transformation,[],[f27]) ).
fof(f58,plain,
! [X0,X1] :
( ~ environment(X1)
| critical_point(X1) = X0
| sP0(X1)
| ~ in_environment(X1,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ greater(sK4(X0,X1),sK2(X1))
| greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1))) ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ environment(X1)
| sP0(X1)
| ~ greater(sK4(X0,X1),sK2(X1))
| greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| critical_point(X1) = X0
| ~ environment(X1)
| ~ in_environment(X1,X0) ),
inference(resolution,[],[f38,f35]) ).
fof(f35,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sK2(X0))
| sP0(X0)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| subpopulations(first_movers,efficient_producers,X1,sK4(X0,X1))
| critical_point(X1) = X0
| ~ in_environment(X1,X0)
| ~ environment(X1) ),
inference(cnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT023+2 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:28:35 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.50 % (15391)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (15383)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (15381)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.51 % (15379)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (15369)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.51 % (15375)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (15381)First to succeed.
% 0.19/0.52 % (15383)Also succeeded, but the first one will report.
% 0.19/0.52 % (15381)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Theorem for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (15381)------------------------------
% 0.19/0.52 % (15381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (15381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (15381)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (15381)Memory used [KB]: 5500
% 0.19/0.52 % (15381)Time elapsed: 0.122 s
% 0.19/0.52 % (15381)Instructions burned: 5 (million)
% 0.19/0.52 % (15381)------------------------------
% 0.19/0.52 % (15381)------------------------------
% 0.19/0.52 % (15368)Success in time 0.168 s
%------------------------------------------------------------------------------