TSTP Solution File: MGT027+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT027+1 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:57:09 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 13
% Syntax : Number of formulae : 92 ( 18 unt; 0 def)
% Number of atoms : 319 ( 26 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 365 ( 138 ~; 142 |; 65 &)
% ( 2 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 126 ( 111 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f182,plain,
$false,
inference(subsumption_resolution,[],[f176,f171]) ).
fof(f171,plain,
~ subpopulations(first_movers,efficient_producers,sK1,sK2(sK1)),
inference(superposition,[],[f140,f149]) ).
fof(f149,plain,
sK2(sK1) = sK3(sK2(sK1)),
inference(subsumption_resolution,[],[f148,f44]) ).
fof(f44,plain,
environment(sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( ! [X1] :
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,sK1)) )
& stable(sK1)
& environment(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f17,f34]) ).
fof(f34,plain,
( ? [X0] :
( ! [X1] :
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,X0)) )
& stable(X0)
& environment(X0) )
=> ( ! [X1] :
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,sK1)) )
& stable(sK1)
& environment(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
? [X0] :
( ! [X1] :
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,X0)) )
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
? [X0] :
( ! [X1] :
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,X0)) )
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( contracts_from(X1,first_movers)
& greater(X1,appear(efficient_producers,X0)) ) ),
inference(negated_conjecture,[],[f9]) ).
fof(f9,conjecture,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( contracts_from(X1,first_movers)
& greater(X1,appear(efficient_producers,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9) ).
fof(f148,plain,
( ~ environment(sK1)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f147,f140]) ).
fof(f147,plain,
( subpopulations(first_movers,efficient_producers,sK1,sK3(sK2(sK1)))
| ~ environment(sK1)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f146,plain,
( subpopulations(first_movers,efficient_producers,sK1,sK3(sK2(sK1)))
| ~ environment(sK1)
| sK2(sK1) = sK3(sK2(sK1))
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(resolution,[],[f145,f121]) ).
fof(f121,plain,
( in_environment(sK1,sK3(sK2(sK1)))
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f120,f44]) ).
fof(f120,plain,
( in_environment(sK1,sK3(sK2(sK1)))
| sK2(sK1) = sK3(sK2(sK1))
| ~ environment(sK1) ),
inference(subsumption_resolution,[],[f119,f45]) ).
fof(f45,plain,
stable(sK1),
inference(cnf_transformation,[],[f35]) ).
fof(f119,plain,
( in_environment(sK1,sK3(sK2(sK1)))
| sK2(sK1) = sK3(sK2(sK1))
| ~ stable(sK1)
| ~ environment(sK1) ),
inference(resolution,[],[f92,f76]) ).
fof(f76,plain,
in_environment(sK1,sK2(sK1)),
inference(unit_resulting_resolution,[],[f44,f45,f62,f65,f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ greater(X2,X1)
| in_environment(X0,X2)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( greater(X2,X1)
& in_environment(X0,X1)
& stable(X0)
& environment(X0) )
=> in_environment(X0,X2) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X3,X4] :
( ( greater(X4,X3)
& in_environment(X0,X3)
& stable(X0)
& environment(X0) )
=> in_environment(X0,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments) ).
fof(f65,plain,
greater(sK2(sK1),appear(efficient_producers,sK1)),
inference(unit_resulting_resolution,[],[f44,f45,f47]) ).
fof(f47,plain,
! [X0] :
( ~ stable(X0)
| greater(sK2(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( ( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(sK2(X0),appear(efficient_producers,X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f19,f36]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(X1,appear(efficient_producers,X0)) )
=> ( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(sK2(X0),appear(efficient_producers,X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(X1,appear(efficient_producers,X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& greater(X1,appear(efficient_producers,X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(zero,growth_rate(first_movers,X2)) )
& greater(X1,appear(efficient_producers,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10) ).
fof(f62,plain,
in_environment(sK1,appear(efficient_producers,sK1)),
inference(unit_resulting_resolution,[],[f44,f45,f50]) ).
fof(f50,plain,
! [X0] :
( ~ stable(X0)
| in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( in_environment(X0,appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0] :
( in_environment(X0,appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> in_environment(X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_in_stable_environments) ).
fof(f92,plain,
! [X0] :
( ~ in_environment(X0,sK2(sK1))
| in_environment(X0,sK3(sK2(sK1)))
| sK2(sK1) = sK3(sK2(sK1))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f85,f59]) ).
fof(f85,plain,
( greater(sK3(sK2(sK1)),sK2(sK1))
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(resolution,[],[f82,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X5,X6] :
( greater_or_equal(X5,X6)
<=> ( X5 = X6
| greater(X5,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f82,plain,
greater_or_equal(sK3(sK2(sK1)),sK2(sK1)),
inference(unit_resulting_resolution,[],[f78,f52]) ).
fof(f52,plain,
! [X0] :
( ~ sP0(X0)
| greater_or_equal(sK3(X0),X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( ~ greater(zero,growth_rate(first_movers,sK3(X0)))
& greater_or_equal(sK3(X0),X0)
& greater(cardinality_at_time(first_movers,sK3(X0)),zero) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f39,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1] :
( ~ greater(zero,growth_rate(first_movers,X1))
& greater_or_equal(X1,X0)
& greater(cardinality_at_time(first_movers,X1),zero) )
=> ( ~ greater(zero,growth_rate(first_movers,sK3(X0)))
& greater_or_equal(sK3(X0),X0)
& greater(cardinality_at_time(first_movers,sK3(X0)),zero) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0] :
( ? [X1] :
( ~ greater(zero,growth_rate(first_movers,X1))
& greater_or_equal(X1,X0)
& greater(cardinality_at_time(first_movers,X1),zero) )
| ~ sP0(X0) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& greater(cardinality_at_time(first_movers,X2),zero) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X1] :
( ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& greater(cardinality_at_time(first_movers,X2),zero) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f78,plain,
sP0(sK2(sK1)),
inference(unit_resulting_resolution,[],[f44,f45,f67,f76,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| sP0(X1)
| contracts_from(X1,first_movers)
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( contracts_from(X1,first_movers)
| sP0(X1)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(definition_folding,[],[f25,f32]) ).
fof(f25,plain,
! [X0,X1] :
( contracts_from(X1,first_movers)
| ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& greater(cardinality_at_time(first_movers,X2),zero) )
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( contracts_from(X1,first_movers)
| ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater_or_equal(X2,X1)
& greater(cardinality_at_time(first_movers,X2),zero) )
| ~ in_environment(X0,X1)
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( ! [X2] :
( ( greater_or_equal(X2,X1)
& greater(cardinality_at_time(first_movers,X2),zero) )
=> greater(zero,growth_rate(first_movers,X2)) )
& in_environment(X0,X1)
& stable(X0)
& environment(X0) )
=> contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from) ).
fof(f67,plain,
~ contracts_from(sK2(sK1),first_movers),
inference(unit_resulting_resolution,[],[f65,f46]) ).
fof(f46,plain,
! [X1] :
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,sK1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f145,plain,
! [X0] :
( ~ in_environment(X0,sK3(sK2(sK1)))
| subpopulations(first_movers,efficient_producers,X0,sK3(sK2(sK1)))
| ~ environment(X0)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f144,f81]) ).
fof(f81,plain,
greater(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero),
inference(unit_resulting_resolution,[],[f78,f51]) ).
fof(f51,plain,
! [X0] :
( ~ sP0(X0)
| greater(cardinality_at_time(first_movers,sK3(X0)),zero) ),
inference(cnf_transformation,[],[f41]) ).
fof(f144,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sK3(sK2(sK1)))
| ~ greater(cardinality_at_time(first_movers,sK3(sK2(sK1))),zero)
| ~ in_environment(X0,sK3(sK2(sK1)))
| ~ environment(X0)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(resolution,[],[f55,f124]) ).
fof(f124,plain,
( greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(duplicate_literal_removal,[],[f122]) ).
fof(f122,plain,
( sK2(sK1) = sK3(sK2(sK1))
| greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(resolution,[],[f121,f106]) ).
fof(f106,plain,
( ~ in_environment(sK1,sK3(sK2(sK1)))
| greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(subsumption_resolution,[],[f105,f44]) ).
fof(f105,plain,
( greater(cardinality_at_time(efficient_producers,sK3(sK2(sK1))),zero)
| ~ in_environment(sK1,sK3(sK2(sK1)))
| ~ environment(sK1)
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(resolution,[],[f49,f99]) ).
fof(f99,plain,
( greater_or_equal(sK3(sK2(sK1)),appear(efficient_producers,sK1))
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(resolution,[],[f91,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f91,plain,
( greater(sK3(sK2(sK1)),appear(efficient_producers,sK1))
| sK2(sK1) = sK3(sK2(sK1)) ),
inference(resolution,[],[f85,f69]) ).
fof(f69,plain,
! [X0] :
( ~ greater(X0,sK2(sK1))
| greater(X0,appear(efficient_producers,sK1)) ),
inference(resolution,[],[f65,f60]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X5,X6,X7] :
( ( greater(X6,X7)
& greater(X5,X6) )
=> greater(X5,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f49,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1] :
( ( greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,X1)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X2] :
( ( greater_or_equal(X2,appear(efficient_producers,X0))
& in_environment(X0,X2)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X2),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6) ).
fof(f55,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero)
& in_environment(X0,X1)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X0,X2] :
( ( greater(cardinality_at_time(efficient_producers,X2),zero)
& greater(cardinality_at_time(first_movers,X2),zero)
& in_environment(X0,X2)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep) ).
fof(f140,plain,
~ subpopulations(first_movers,efficient_producers,sK1,sK3(sK2(sK1))),
inference(unit_resulting_resolution,[],[f44,f45,f82,f80,f48]) ).
fof(f48,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK2(X0))
| greater(zero,growth_rate(first_movers,X2))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f80,plain,
~ greater(zero,growth_rate(first_movers,sK3(sK2(sK1)))),
inference(unit_resulting_resolution,[],[f78,f53]) ).
fof(f53,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sK3(X0)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f176,plain,
subpopulations(first_movers,efficient_producers,sK1,sK2(sK1)),
inference(unit_resulting_resolution,[],[f44,f76,f102,f151,f55]) ).
fof(f151,plain,
greater(cardinality_at_time(first_movers,sK2(sK1)),zero),
inference(superposition,[],[f81,f149]) ).
fof(f102,plain,
greater(cardinality_at_time(efficient_producers,sK2(sK1)),zero),
inference(unit_resulting_resolution,[],[f44,f76,f68,f49]) ).
fof(f68,plain,
greater_or_equal(sK2(sK1),appear(efficient_producers,sK1)),
inference(unit_resulting_resolution,[],[f65,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : MGT027+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n013.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 : Fri May 3 20:05:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (11083)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (11087)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 TRYING [4]
% 0.14/0.37 % (11086)WARNING: value z3 for option sas not known
% 0.14/0.37 % (11084)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (11085)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (11088)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)
% 0.14/0.37 % (11090)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)
% 0.14/0.37 % (11089)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)
% 0.14/0.37 % (11086)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)
% 0.14/0.37 TRYING [5]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (11090)First to succeed.
% 0.14/0.37 TRYING [2]
% 0.14/0.37 % (11090)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11083"
% 0.14/0.38 % (11090)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (11090)------------------------------
% 0.14/0.38 % (11090)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (11090)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (11090)Memory used [KB]: 844
% 0.14/0.38 % (11090)Time elapsed: 0.009 s
% 0.14/0.38 % (11090)Instructions burned: 11 (million)
% 0.14/0.38 % (11083)Success in time 0.026 s
%------------------------------------------------------------------------------