TSTP Solution File: MGT023+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n011.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 : Tue Apr 30 13:54:08 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 10 unt; 0 def)
% Number of atoms : 297 ( 15 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 350 ( 129 ~; 120 |; 84 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 119 ( 90 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,plain,
$false,
inference(subsumption_resolution,[],[f92,f38]) ).
fof(f38,plain,
~ in_environment(sK3,critical_point(sK3)),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ~ in_environment(sK3,critical_point(sK3))
& stable(sK3)
& environment(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f8,f20]) ).
fof(f20,plain,
( ? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) )
=> ( ~ in_environment(sK3,critical_point(sK3))
& stable(sK3)
& environment(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f8,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> in_environment(X0,critical_point(X0)) ),
inference(negated_conjecture,[],[f4]) ).
fof(f4,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> in_environment(X0,critical_point(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5) ).
fof(f92,plain,
in_environment(sK3,critical_point(sK3)),
inference(superposition,[],[f71,f87]) ).
fof(f87,plain,
critical_point(sK3) = sK6(sK3),
inference(subsumption_resolution,[],[f86,f77]) ).
fof(f77,plain,
( critical_point(sK3) = sK6(sK3)
| ~ greater(growth_rate(efficient_producers,sK5(sK6(sK3),sK3)),growth_rate(first_movers,sK5(sK6(sK3),sK3))) ),
inference(resolution,[],[f76,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| ~ greater(growth_rate(efficient_producers,sK5(X0,X1)),growth_rate(first_movers,sK5(X0,X1))) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( ~ greater(growth_rate(efficient_producers,sK5(X0,X1)),growth_rate(first_movers,sK5(X0,X1)))
& greater(sK5(X0,X1),X0)
& subpopulations(first_movers,efficient_producers,X1,sK5(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f25,f26]) ).
fof(f26,plain,
! [X0,X1] :
( ? [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,sK5(X0,X1)),growth_rate(first_movers,sK5(X0,X1)))
& greater(sK5(X0,X1),X0)
& subpopulations(first_movers,efficient_producers,X1,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0,X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X0)
& subpopulations(first_movers,efficient_producers,X1,X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X1,X0] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X1,X0] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ sP0(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f76,plain,
( sP0(sK6(sK3),sK3)
| critical_point(sK3) = sK6(sK3) ),
inference(subsumption_resolution,[],[f75,f36]) ).
fof(f36,plain,
environment(sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f75,plain,
( sP0(sK6(sK3),sK3)
| critical_point(sK3) = sK6(sK3)
| ~ environment(sK3) ),
inference(subsumption_resolution,[],[f73,f70]) ).
fof(f70,plain,
~ greater(growth_rate(efficient_producers,sK6(sK3)),growth_rate(first_movers,sK6(sK3))),
inference(unit_resulting_resolution,[],[f69,f46]) ).
fof(f46,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sK6(X0)),growth_rate(first_movers,sK6(X0)))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK6(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,sK6(X0)),growth_rate(first_movers,sK6(X0)))
& in_environment(X0,sK6(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f29,f30]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) )
=> ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,sK6(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,sK6(X0)),growth_rate(first_movers,sK6(X0)))
& in_environment(X0,sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f69,plain,
sP2(sK3),
inference(subsumption_resolution,[],[f68,f58]) ).
fof(f58,plain,
( ~ greater(growth_rate(efficient_producers,sK7(sK4(sK3),sK3)),growth_rate(first_movers,sK7(sK4(sK3),sK3)))
| sP2(sK3) ),
inference(resolution,[],[f50,f55]) ).
fof(f55,plain,
( sP1(sK4(sK3),sK3)
| sP2(sK3) ),
inference(subsumption_resolution,[],[f54,f36]) ).
fof(f54,plain,
( sP1(sK4(sK3),sK3)
| sP2(sK3)
| ~ environment(sK3) ),
inference(resolution,[],[f51,f52]) ).
fof(f52,plain,
in_environment(sK3,sK4(sK3)),
inference(unit_resulting_resolution,[],[f36,f37,f39]) ).
fof(f39,plain,
! [X0] :
( ~ stable(X0)
| in_environment(X0,sK4(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK4(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK4(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f10,f22]) ).
fof(f22,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,sK4(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,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) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f9]) ).
fof(f9,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) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ( stable(X0)
& 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)) )
& in_environment(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1) ).
fof(f37,plain,
stable(sK3),
inference(cnf_transformation,[],[f21]) ).
fof(f51,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| sP1(X1,X0)
| sP2(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0] :
( sP2(X0)
| ! [X1] :
( sP1(X1,X0)
| ~ in_environment(X0,X1) )
| ~ environment(X0) ),
inference(definition_folding,[],[f14,f18,f17]) ).
fof(f17,plain,
! [X1,X0] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ sP1(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f14,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) )
| ! [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) )
| ~ environment(X0) ),
inference(flattening,[],[f13]) ).
fof(f13,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ greater(X4,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X4) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) )
| ! [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) )
| ~ environment(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,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)) )
& in_environment(X0,X1) )
& environment(X0) )
=> ? [X3] :
( ! [X4] :
( ( greater(X4,X3)
& subpopulations(first_movers,efficient_producers,X0,X4) )
=> greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4)) )
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& in_environment(X0,X3) ) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [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)) )
& in_environment(X0,X1) )
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
fof(f50,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ~ greater(growth_rate(efficient_producers,sK7(X0,X1)),growth_rate(first_movers,sK7(X0,X1))) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ~ greater(growth_rate(efficient_producers,sK7(X0,X1)),growth_rate(first_movers,sK7(X0,X1)))
& greater_or_equal(sK7(X0,X1),X0)
& subpopulations(first_movers,efficient_producers,X1,sK7(X0,X1)) )
| ~ sP1(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f33,f34]) ).
fof(f34,plain,
! [X0,X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X0)
& subpopulations(first_movers,efficient_producers,X1,X2) )
=> ( ~ greater(growth_rate(efficient_producers,sK7(X0,X1)),growth_rate(first_movers,sK7(X0,X1)))
& greater_or_equal(sK7(X0,X1),X0)
& subpopulations(first_movers,efficient_producers,X1,sK7(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X0)
& subpopulations(first_movers,efficient_producers,X1,X2) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f17]) ).
fof(f68,plain,
( greater(growth_rate(efficient_producers,sK7(sK4(sK3),sK3)),growth_rate(first_movers,sK7(sK4(sK3),sK3)))
| sP2(sK3) ),
inference(subsumption_resolution,[],[f67,f57]) ).
fof(f57,plain,
( greater_or_equal(sK7(sK4(sK3),sK3),sK4(sK3))
| sP2(sK3) ),
inference(resolution,[],[f55,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| greater_or_equal(sK7(X0,X1),X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f67,plain,
( ~ greater_or_equal(sK7(sK4(sK3),sK3),sK4(sK3))
| greater(growth_rate(efficient_producers,sK7(sK4(sK3),sK3)),growth_rate(first_movers,sK7(sK4(sK3),sK3)))
| sP2(sK3) ),
inference(subsumption_resolution,[],[f66,f36]) ).
fof(f66,plain,
( ~ greater_or_equal(sK7(sK4(sK3),sK3),sK4(sK3))
| greater(growth_rate(efficient_producers,sK7(sK4(sK3),sK3)),growth_rate(first_movers,sK7(sK4(sK3),sK3)))
| ~ environment(sK3)
| sP2(sK3) ),
inference(subsumption_resolution,[],[f65,f37]) ).
fof(f65,plain,
( ~ greater_or_equal(sK7(sK4(sK3),sK3),sK4(sK3))
| greater(growth_rate(efficient_producers,sK7(sK4(sK3),sK3)),growth_rate(first_movers,sK7(sK4(sK3),sK3)))
| ~ stable(sK3)
| ~ environment(sK3)
| sP2(sK3) ),
inference(resolution,[],[f40,f56]) ).
fof(f56,plain,
( subpopulations(first_movers,efficient_producers,sK3,sK7(sK4(sK3),sK3))
| sP2(sK3) ),
inference(resolution,[],[f55,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| subpopulations(first_movers,efficient_producers,X1,sK7(X0,X1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f40,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK4(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f73,plain,
( sP0(sK6(sK3),sK3)
| critical_point(sK3) = sK6(sK3)
| greater(growth_rate(efficient_producers,sK6(sK3)),growth_rate(first_movers,sK6(sK3)))
| ~ environment(sK3) ),
inference(resolution,[],[f71,f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| sP0(X1,X0)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( critical_point(X0) = X1
| sP0(X1,X0)
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(definition_folding,[],[f12,f15]) ).
fof(f12,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(flattening,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( critical_point(X0) = X1
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [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) )
=> critical_point(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1) ).
fof(f86,plain,
( critical_point(sK3) = sK6(sK3)
| greater(growth_rate(efficient_producers,sK5(sK6(sK3),sK3)),growth_rate(first_movers,sK5(sK6(sK3),sK3))) ),
inference(subsumption_resolution,[],[f85,f79]) ).
fof(f79,plain,
( greater(sK5(sK6(sK3),sK3),sK6(sK3))
| critical_point(sK3) = sK6(sK3) ),
inference(resolution,[],[f76,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| greater(sK5(X0,X1),X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f85,plain,
( critical_point(sK3) = sK6(sK3)
| ~ greater(sK5(sK6(sK3),sK3),sK6(sK3))
| greater(growth_rate(efficient_producers,sK5(sK6(sK3),sK3)),growth_rate(first_movers,sK5(sK6(sK3),sK3))) ),
inference(subsumption_resolution,[],[f81,f69]) ).
fof(f81,plain,
( critical_point(sK3) = sK6(sK3)
| ~ greater(sK5(sK6(sK3),sK3),sK6(sK3))
| greater(growth_rate(efficient_producers,sK5(sK6(sK3),sK3)),growth_rate(first_movers,sK5(sK6(sK3),sK3)))
| ~ sP2(sK3) ),
inference(resolution,[],[f78,f47]) ).
fof(f47,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sK6(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
( subpopulations(first_movers,efficient_producers,sK3,sK5(sK6(sK3),sK3))
| critical_point(sK3) = sK6(sK3) ),
inference(resolution,[],[f76,f41]) ).
fof(f41,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| subpopulations(first_movers,efficient_producers,X1,sK5(X0,X1)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f71,plain,
in_environment(sK3,sK6(sK3)),
inference(unit_resulting_resolution,[],[f69,f45]) ).
fof(f45,plain,
! [X0] :
( ~ sP2(X0)
| in_environment(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : MGT023+2 : TPTP v8.1.2. Released v2.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.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 : Tue Apr 30 03:42:46 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (2821)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (2824)WARNING: value z3 for option sas not known
% 0.15/0.38 % (2822)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (2823)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (2825)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (2824)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (2827)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (2828)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (2828)First to succeed.
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (2826)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 % (2824)Also succeeded, but the first one will report.
% 0.15/0.39 % (2828)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (2828)------------------------------
% 0.15/0.39 % (2828)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.39 % (2828)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (2828)Memory used [KB]: 834
% 0.15/0.39 % (2828)Time elapsed: 0.006 s
% 0.15/0.39 % (2828)Instructions burned: 8 (million)
% 0.15/0.39 % (2828)------------------------------
% 0.15/0.39 % (2828)------------------------------
% 0.15/0.39 % (2821)Success in time 0.022 s
%------------------------------------------------------------------------------