%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT025+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:02:04 PM UTC 2026
% Result : Theorem 2.62s 1.28s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 22
% Syntax : Number of formulae : 192 ( 26 unt; 15 def)
% Number of atoms : 652 ( 47 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 740 ( 280 ~; 374 |; 59 &)
% ( 15 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 16 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 139 ( 0 sgn 135 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( ( environment(X0)
& subpopulation(X1,X0,X2)
& ( greater(cardinality_at_time(X1,X2),zero)
=> ( X1 = efficient_producers
| X1 = first_movers ) ) )
=> number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_only_members) ).
fof(f2,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1) )
=> ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_subpopulations) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( X0 = sum(X1,X2)
& constant(X0) )
=> ( ( constant(X1)
& constant(X2) )
| ( increases(X1)
& decreases(X2) )
| ( decreases(X1)
& increases(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_abc_sum_increase) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( environment(X1)
& in_environment(X1,X2)
& subpopulation(X0,X1,X2)
& greater(cardinality_at_time(X0,X2),zero) )
=> ( ( constant(cardinality_at_time(X0,X2))
=> growth_rate(X0,X2) = zero )
& ( increases(cardinality_at_time(X0,X2))
=> greater(growth_rate(X0,X2),zero) )
& ( decreases(cardinality_at_time(X0,X2))
=> greater(zero,growth_rate(X0,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_growth_rate) ).
fof(f5,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_zero_producers) ).
fof(f6,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occur) ).
fof(f8,conjecture,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) )
=> ( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l7) ).
fof(f9,negated_conjecture,
~ ! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) )
=> ( ( growth_rate(first_movers,X1) = zero
& growth_rate(efficient_producers,X1) = zero )
| ( greater(growth_rate(first_movers,X1),zero)
& greater(zero,growth_rate(efficient_producers,X1)) )
| ( greater(growth_rate(efficient_producers,X1),zero)
& greater(zero,growth_rate(first_movers,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| ( efficient_producers != X1
& first_movers != X1
& greater(cardinality_at_time(X1,X2),zero) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f11,plain,
! [X0,X1,X2] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| ( efficient_producers != X1
& first_movers != X1
& greater(cardinality_at_time(X1,X2),zero) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0,X1] :
( ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0,X1] :
( ( subpopulation(first_movers,X0,X1)
& subpopulation(efficient_producers,X0,X1) )
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( constant(X1)
& constant(X2) )
| ( increases(X1)
& decreases(X2) )
| ( decreases(X1)
& increases(X2) )
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( constant(X1)
& constant(X2) )
| ( increases(X1)
& decreases(X2) )
| ( decreases(X1)
& increases(X2) )
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ( growth_rate(X0,X2) = zero
| ~ constant(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) ) )
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( ( growth_rate(X0,X2) = zero
| ~ constant(cardinality_at_time(X0,X2)) )
& ( greater(growth_rate(X0,X2),zero)
| ~ increases(cardinality_at_time(X0,X2)) )
& ( greater(zero,growth_rate(X0,X2))
| ~ decreases(cardinality_at_time(X0,X2)) ) )
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(flattening,[],[f16]) ).
fof(f18,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) )
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f24,plain,
? [X0,X1] :
( ( 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)) )
& ( ~ greater(growth_rate(efficient_producers,X1),zero)
| ~ greater(zero,growth_rate(first_movers,X1)) )
& environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f25,plain,
? [X0,X1] :
( ( 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)) )
& ( ~ greater(growth_rate(efficient_producers,X1),zero)
| ~ greater(zero,growth_rate(first_movers,X1)) )
& environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1)
& constant(number_of_organizations(X0,X1)) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
( ( zero != growth_rate(first_movers,sK1)
| zero != growth_rate(efficient_producers,sK1) )
& ( ~ greater(growth_rate(first_movers,sK1),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK1)) )
& ( ~ greater(growth_rate(efficient_producers,sK1),zero)
| ~ greater(zero,growth_rate(first_movers,sK1)) )
& environment(sK0)
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& constant(number_of_organizations(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f25]) ).
fof(f29,plain,
! [X2,X0,X1] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ environment(X0)
| ~ subpopulation(X1,X0,X2)
| efficient_producers != X1 ),
inference(cnf_transformation,[],[f11]) ).
fof(f30,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f31,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| subpopulation(first_movers,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X2,X0,X1] :
( constant(X2)
| decreases(X2)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f33,plain,
! [X2,X0,X1] :
( constant(X2)
| decreases(X2)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f34,plain,
! [X2,X0,X1] :
( constant(X2)
| increases(X1)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f35,plain,
! [X2,X0,X1] :
( constant(X2)
| increases(X1)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f36,plain,
! [X2,X0,X1] :
( constant(X1)
| decreases(X2)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f37,plain,
! [X2,X0,X1] :
( constant(X1)
| decreases(X2)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
! [X2,X0,X1] :
( constant(X1)
| increases(X1)
| increases(X2)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f39,plain,
! [X2,X0,X1] :
( constant(X1)
| increases(X1)
| decreases(X1)
| sum(X1,X2) != X0
| ~ constant(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ decreases(cardinality_at_time(X0,X2))
| greater(zero,growth_rate(X0,X2))
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(cnf_transformation,[],[f17]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ increases(cardinality_at_time(X0,X2))
| greater(growth_rate(X0,X2),zero)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(cnf_transformation,[],[f17]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ constant(cardinality_at_time(X0,X2))
| zero = growth_rate(X0,X2)
| ~ environment(X1)
| ~ in_environment(X1,X2)
| ~ subpopulation(X0,X1,X2)
| ~ greater(cardinality_at_time(X0,X2),zero) ),
inference(cnf_transformation,[],[f17]) ).
fof(f43,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X0,X1] :
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f45,plain,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
constant(number_of_organizations(sK0,sK1)),
inference(cnf_transformation,[],[f26]) ).
fof(f48,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
environment(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f50,plain,
( ~ greater(growth_rate(efficient_producers,sK1),zero)
| ~ greater(zero,growth_rate(first_movers,sK1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
( ~ greater(growth_rate(first_movers,sK1),zero)
| ~ greater(zero,growth_rate(efficient_producers,sK1)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
( zero != growth_rate(first_movers,sK1)
| zero != growth_rate(efficient_producers,sK1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
! [X2,X0] :
( ~ environment(X0)
| number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(efficient_producers,X0,X2) ),
inference(equality_resolution,[],[f29]) ).
fof(f55,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| decreases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f39]) ).
fof(f56,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| increases(X2)
| constant(X1) ),
inference(equality_resolution,[],[f38]) ).
fof(f57,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| decreases(X1)
| constant(X1) ),
inference(equality_resolution,[],[f37]) ).
fof(f58,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| increases(X2)
| constant(X1) ),
inference(equality_resolution,[],[f36]) ).
fof(f59,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| decreases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f35]) ).
fof(f60,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| increases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f34]) ).
fof(f61,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| decreases(X1)
| constant(X2) ),
inference(equality_resolution,[],[f33]) ).
fof(f62,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| increases(X2)
| constant(X2) ),
inference(equality_resolution,[],[f32]) ).
fof(f64,definition,
( spl2_1
<=> greater(zero,growth_rate(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f66,plain,
( ~ greater(zero,growth_rate(first_movers,sK1))
| spl2_1 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f68,definition,
( spl2_2
<=> greater(growth_rate(efficient_producers,sK1),zero) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f71,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f50,f68,f64]) ).
fof(f73,definition,
( spl2_3
<=> greater(zero,growth_rate(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f75,plain,
( ~ greater(zero,growth_rate(efficient_producers,sK1))
| spl2_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl2_4
<=> greater(growth_rate(first_movers,sK1),zero) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f80,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f51,f77,f73]) ).
fof(f82,definition,
( spl2_5
<=> zero = growth_rate(efficient_producers,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f86,definition,
( spl2_6
<=> zero = growth_rate(first_movers,sK1) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f88,plain,
( zero != growth_rate(first_movers,sK1)
| spl2_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(avatar_split_clause,[],[f52,f86,f82]) ).
fof(f90,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| in_environment(sK0,X0) ),
inference(resolution,[],[f45,f49]) ).
fof(f91,plain,
in_environment(sK0,sK1),
inference(resolution,[],[f90,f48]) ).
fof(f93,plain,
( ~ environment(sK0)
| subpopulation(efficient_producers,sK0,sK1) ),
inference(resolution,[],[f91,f30]) ).
fof(f94,plain,
subpopulation(efficient_producers,sK0,sK1),
inference(forward_subsumption_resolution,[],[f93,f49]) ).
fof(f99,plain,
! [X0] :
( ~ subpopulation(efficient_producers,sK0,X0)
| number_of_organizations(sK0,X0) = sum(cardinality_at_time(first_movers,X0),cardinality_at_time(efficient_producers,X0)) ),
inference(resolution,[],[f53,f49]) ).
fof(f100,plain,
number_of_organizations(sK0,sK1) = sum(cardinality_at_time(first_movers,sK1),cardinality_at_time(efficient_producers,sK1)),
inference(resolution,[],[f99,f94]) ).
fof(f102,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f55,f100]) ).
fof(f103,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f56,f100]) ).
fof(f104,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f57,f100]) ).
fof(f105,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(superposition,[],[f58,f100]) ).
fof(f106,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f59,f100]) ).
fof(f107,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f60,f100]) ).
fof(f108,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f61,f100]) ).
fof(f109,plain,
( ~ constant(number_of_organizations(sK0,sK1))
| decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(superposition,[],[f62,f100]) ).
fof(f110,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f109,f47]) ).
fof(f111,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f108,f47]) ).
fof(f112,plain,
( increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f107,f47]) ).
fof(f113,plain,
( increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(efficient_producers,sK1)) ),
inference(forward_subsumption_resolution,[],[f106,f47]) ).
fof(f114,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f105,f47]) ).
fof(f115,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f104,f47]) ).
fof(f116,plain,
( increases(cardinality_at_time(first_movers,sK1))
| increases(cardinality_at_time(efficient_producers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f103,f47]) ).
fof(f117,plain,
( increases(cardinality_at_time(first_movers,sK1))
| decreases(cardinality_at_time(first_movers,sK1))
| constant(cardinality_at_time(first_movers,sK1)) ),
inference(forward_subsumption_resolution,[],[f102,f47]) ).
fof(f119,definition,
( spl2_7
<=> constant(cardinality_at_time(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f121,plain,
( constant(cardinality_at_time(efficient_producers,sK1))
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f123,definition,
( spl2_8
<=> increases(cardinality_at_time(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_8])],[avatar_definition]) ).
fof(f125,plain,
( increases(cardinality_at_time(efficient_producers,sK1))
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl2_9
<=> decreases(cardinality_at_time(efficient_producers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f129,plain,
( decreases(cardinality_at_time(efficient_producers,sK1))
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f130,plain,
( spl2_7
| spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f110,f127,f123,f119]) ).
fof(f132,definition,
( spl2_10
<=> decreases(cardinality_at_time(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f134,plain,
( decreases(cardinality_at_time(first_movers,sK1))
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f135,plain,
( spl2_7
| spl2_10
| spl2_9 ),
inference(avatar_split_clause,[],[f111,f127,f132,f119]) ).
fof(f137,definition,
( spl2_11
<=> increases(cardinality_at_time(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f139,plain,
( increases(cardinality_at_time(first_movers,sK1))
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f140,plain,
( spl2_7
| spl2_8
| spl2_11 ),
inference(avatar_split_clause,[],[f112,f137,f123,f119]) ).
fof(f141,plain,
( spl2_7
| spl2_10
| spl2_11 ),
inference(avatar_split_clause,[],[f113,f137,f132,f119]) ).
fof(f143,definition,
( spl2_12
<=> constant(cardinality_at_time(first_movers,sK1)) ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f145,plain,
( constant(cardinality_at_time(first_movers,sK1))
| ~ spl2_12 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f146,plain,
( spl2_12
| spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f114,f127,f123,f143]) ).
fof(f147,plain,
( spl2_12
| spl2_10
| spl2_9 ),
inference(avatar_split_clause,[],[f115,f127,f132,f143]) ).
fof(f148,plain,
( spl2_12
| spl2_8
| spl2_11 ),
inference(avatar_split_clause,[],[f116,f137,f123,f143]) ).
fof(f149,plain,
( spl2_12
| spl2_10
| spl2_11 ),
inference(avatar_split_clause,[],[f117,f137,f132,f143]) ).
fof(f151,plain,
( ! [X0] :
( greater(zero,growth_rate(first_movers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| ~ greater(cardinality_at_time(first_movers,sK1),zero) )
| ~ spl2_10 ),
inference(resolution,[],[f134,f40]) ).
fof(f152,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| ~ greater(cardinality_at_time(first_movers,sK1),zero) )
| spl2_1
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f151,f66]) ).
fof(f153,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ greater(cardinality_at_time(first_movers,sK1),zero) )
| spl2_1
| ~ spl2_10 ),
inference(forward_subsumption_resolution,[],[f152,f31]) ).
fof(f155,definition,
( spl2_13
<=> greater(cardinality_at_time(first_movers,sK1),zero) ),
introduced(definition,[new_symbols(definition,[spl2_13])],[avatar_definition]) ).
fof(f156,plain,
( greater(cardinality_at_time(first_movers,sK1),zero)
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f157,plain,
( ~ greater(cardinality_at_time(first_movers,sK1),zero)
| spl2_13 ),
inference(avatar_component_clause,[],[f155]) ).
fof(f159,definition,
( spl2_14
<=> ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1) ) ),
introduced(definition,[new_symbols(definition,[spl2_14])],[avatar_definition]) ).
fof(f160,plain,
( ! [X0] :
( ~ in_environment(X0,sK1)
| ~ environment(X0) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f161,plain,
( ~ spl2_13
| spl2_14
| spl2_1
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f153,f132,f64,f159,f155]) ).
fof(f162,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1),zero)
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) )
| ~ spl2_8 ),
inference(resolution,[],[f41,f125]) ).
fof(f163,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sK1),zero)
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) )
| ~ spl2_8 ),
inference(forward_subsumption_resolution,[],[f162,f30]) ).
fof(f165,definition,
( spl2_15
<=> greater(cardinality_at_time(efficient_producers,sK1),zero) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f167,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
| spl2_15 ),
inference(avatar_component_clause,[],[f165]) ).
fof(f168,plain,
( ~ spl2_15
| spl2_14
| spl2_2
| ~ spl2_8 ),
inference(avatar_split_clause,[],[f163,f123,f68,f159,f165]) ).
fof(f169,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| spl2_13 ),
inference(resolution,[],[f157,f44]) ).
fof(f171,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK1)
| ~ environment(X0) )
| spl2_15 ),
inference(resolution,[],[f167,f43]) ).
fof(f174,plain,
( ~ environment(sK0)
| spl2_13 ),
inference(resolution,[],[f169,f48]) ).
fof(f175,plain,
( $false
| spl2_13 ),
inference(forward_subsumption_resolution,[],[f174,f49]) ).
fof(f176,plain,
spl2_13,
inference(avatar_contradiction_clause,[],[f175]) ).
fof(f179,plain,
( ! [X0] :
( greater(zero,growth_rate(efficient_producers,sK1))
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) )
| ~ spl2_9 ),
inference(resolution,[],[f129,f40]) ).
fof(f182,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK1),zero)
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| ~ greater(cardinality_at_time(first_movers,sK1),zero) )
| ~ spl2_11 ),
inference(resolution,[],[f139,f41]) ).
fof(f186,plain,
( ! [X0] :
( greater(growth_rate(first_movers,sK1),zero)
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ greater(cardinality_at_time(first_movers,sK1),zero) )
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f182,f31]) ).
fof(f187,plain,
( ~ spl2_13
| spl2_14
| spl2_4
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f186,f137,f77,f159,f155]) ).
fof(f189,plain,
( ~ environment(sK0)
| spl2_15 ),
inference(resolution,[],[f171,f48]) ).
fof(f190,plain,
( $false
| spl2_15 ),
inference(forward_subsumption_resolution,[],[f189,f49]) ).
fof(f191,plain,
spl2_15,
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f192,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) )
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f179,f75]) ).
fof(f193,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) )
| spl2_3
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f192,f30]) ).
fof(f194,plain,
( ~ spl2_15
| spl2_14
| spl2_3
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f193,f127,f73,f159,f165]) ).
fof(f195,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK1)
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(efficient_producers,X0,sK1)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) )
| ~ spl2_7 ),
inference(resolution,[],[f121,f42]) ).
fof(f196,plain,
( ! [X0] :
( zero = growth_rate(efficient_producers,sK1)
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ greater(cardinality_at_time(efficient_producers,sK1),zero) )
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f195,f30]) ).
fof(f197,plain,
( ~ spl2_15
| spl2_14
| spl2_5
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f196,f119,f82,f159,f165]) ).
fof(f203,plain,
( ! [X0] :
( zero = growth_rate(first_movers,sK1)
| ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| ~ greater(cardinality_at_time(first_movers,sK1),zero) )
| ~ spl2_12 ),
inference(resolution,[],[f145,f42]) ).
fof(f204,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1)
| ~ greater(cardinality_at_time(first_movers,sK1),zero) )
| spl2_6
| ~ spl2_12 ),
inference(forward_subsumption_resolution,[],[f203,f88]) ).
fof(f205,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1)
| ~ subpopulation(first_movers,X0,sK1) )
| spl2_6
| ~ spl2_12
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f204,f156]) ).
fof(f206,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1) )
| spl2_6
| ~ spl2_12
| ~ spl2_13 ),
inference(forward_subsumption_resolution,[],[f205,f31]) ).
fof(f207,plain,
( spl2_14
| spl2_6
| ~ spl2_12
| ~ spl2_13 ),
inference(avatar_split_clause,[],[f206,f155,f143,f86,f159]) ).
fof(f208,plain,
( ~ environment(sK0)
| ~ spl2_14 ),
inference(resolution,[],[f160,f91]) ).
fof(f209,plain,
( $false
| ~ spl2_14 ),
inference(forward_subsumption_resolution,[],[f208,f49]) ).
fof(f210,plain,
~ spl2_14,
inference(avatar_contradiction_clause,[],[f209]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f71]) ).
cnf(s2,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f80]) ).
cnf(s3,plain,
( ~ spl2_5
| ~ spl2_6 ),
inference(sat_conversion,[],[f89]) ).
cnf(s4,plain,
( spl2_7
| spl2_8
| spl2_9 ),
inference(sat_conversion,[],[f130]) ).
cnf(s5,plain,
( spl2_7
| spl2_9
| spl2_10 ),
inference(sat_conversion,[],[f135]) ).
cnf(s6,plain,
( spl2_7
| spl2_8
| spl2_11 ),
inference(sat_conversion,[],[f140]) ).
cnf(s7,plain,
( spl2_7
| spl2_10
| spl2_11 ),
inference(sat_conversion,[],[f141]) ).
cnf(s8,plain,
( spl2_8
| spl2_9
| spl2_12 ),
inference(sat_conversion,[],[f146]) ).
cnf(s9,plain,
( spl2_9
| spl2_10
| spl2_12 ),
inference(sat_conversion,[],[f147]) ).
cnf(s10,plain,
( spl2_8
| spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f148]) ).
cnf(s11,plain,
( spl2_10
| spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f149]) ).
cnf(s12,plain,
( spl2_1
| ~ spl2_10
| ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f161]) ).
cnf(s13,plain,
( spl2_2
| ~ spl2_8
| spl2_14
| ~ spl2_15 ),
inference(sat_conversion,[],[f168]) ).
cnf(s14,plain,
spl2_13,
inference(sat_conversion,[],[f176]) ).
cnf(s16,plain,
( spl2_4
| ~ spl2_11
| ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f187]) ).
cnf(s17,plain,
spl2_15,
inference(sat_conversion,[],[f191]) ).
cnf(s18,plain,
( spl2_3
| ~ spl2_9
| spl2_14
| ~ spl2_15 ),
inference(sat_conversion,[],[f194]) ).
cnf(s19,plain,
( spl2_5
| ~ spl2_7
| spl2_14
| ~ spl2_15 ),
inference(sat_conversion,[],[f197]) ).
cnf(s21,plain,
( spl2_6
| ~ spl2_12
| ~ spl2_13
| spl2_14 ),
inference(sat_conversion,[],[f207]) ).
cnf(s22,plain,
~ spl2_14,
inference(sat_conversion,[],[f210]) ).
cnf(s23,plain,
( spl2_6
| ~ spl2_12
| ~ spl2_13 ),
inference(rat,[],[s21,s22]) ).
cnf(s24,plain,
( spl2_5
| ~ spl2_7
| ~ spl2_15 ),
inference(rat,[],[s19,s22]) ).
cnf(s25,plain,
( spl2_3
| ~ spl2_9
| ~ spl2_15 ),
inference(rat,[],[s18,s22]) ).
cnf(s26,plain,
( spl2_4
| ~ spl2_11
| ~ spl2_13 ),
inference(rat,[],[s16,s22]) ).
cnf(s28,plain,
( spl2_2
| ~ spl2_8 ),
inference(rat,[],[s13,s17,s22]) ).
cnf(s29,plain,
( spl2_1
| ~ spl2_10 ),
inference(rat,[],[s12,s22,s14]) ).
cnf(s30,plain,
( spl2_9
| spl2_10 ),
inference(rat,[],[s3,s24,s23,s5,s9,s14,s17]) ).
cnf(s31,plain,
( spl2_11
| spl2_8 ),
inference(rat,[],[s3,s23,s24,s10,s6,s17,s14]) ).
cnf(s32,plain,
( spl2_11
| spl2_10 ),
inference(rat,[],[s3,s23,s24,s11,s7,s17,s14]) ).
cnf(s33,plain,
spl2_10,
inference(rat,[],[s32,s26,s2,s25,s30,s14,s17]) ).
cnf(s34,plain,
spl2_1,
inference(rat,[],[s29,s33]) ).
cnf(s35,plain,
~ spl2_2,
inference(rat,[],[s1,s34]) ).
cnf(s36,plain,
~ spl2_8,
inference(rat,[],[s28,s35]) ).
cnf(s37,plain,
spl2_11,
inference(rat,[],[s31,s36]) ).
cnf(s38,plain,
spl2_4,
inference(rat,[],[s26,s14,s37]) ).
cnf(s39,plain,
~ spl2_3,
inference(rat,[],[s2,s38]) ).
cnf(s40,plain,
~ spl2_9,
inference(rat,[],[s25,s17,s39]) ).
cnf(s41,plain,
spl2_12,
inference(rat,[],[s8,s36,s40]) ).
cnf(s42,plain,
spl2_7,
inference(rat,[],[s4,s36,s40]) ).
cnf(s43,plain,
spl2_6,
inference(rat,[],[s23,s14,s41]) ).
cnf(s44,plain,
spl2_5,
inference(rat,[],[s24,s17,s42]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s3,s43,s44]) ).
fof(f211,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT025+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n014.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 17:20:16 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.62/1.28 % (1038655)Detected formulas, will run a generic FOF schedule.
% 2.62/1.28 % (1038663)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4277484812:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.62/1.28 % (1038663)Refutation not found, incomplete strategy
% 2.62/1.28 % (1038663)------------------------------
% 2.62/1.28 % (1038663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.28 % (1038663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.28 % (1038663)CaDiCaL version: 2.1.3
% 2.62/1.28 % (1038663)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.28 % (1038663)Time elapsed: 0.001 s
% 2.62/1.28 % (1038663)Peak memory usage: 88 MB
% 2.62/1.28 % (1038665)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3459671048:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.62/1.28 % (1038664)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3980724834:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.62/1.28 % (1038660)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3345365421:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.62/1.28 % (1038666)dis-21_1_sil=8000:lcm=predicate:random_seed=4241926068:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.62/1.28 % (1038661)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1497879425:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.62/1.28 % (1038662)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4275945305:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.62/1.28 % (1038665)First to succeed.
% 2.62/1.28 % (1038666)Refutation not found, incomplete strategy
% 2.62/1.28 % (1038666)------------------------------
% 2.62/1.28 % (1038666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.28 % (1038666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.28 % (1038666)CaDiCaL version: 2.1.3
% 2.62/1.28 % (1038666)Termination reason: Refutation not found, incomplete strategy
% 2.62/1.28 % (1038666)Time elapsed: 0.005 s
% 2.62/1.28 % (1038666)Peak memory usage: 88 MB
% 2.62/1.28 % (1038666)Instructions burned: 6 (million)
% 2.62/1.28 % (1038665)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1038655"
% 2.62/1.28 % (1038664)Instruction limit reached!
% 2.62/1.28 % (1038664)------------------------------
% 2.62/1.28 % (1038664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.62/1.28 % (1038664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.62/1.28 % (1038664)CaDiCaL version: 2.1.3
% 2.62/1.28 % (1038664)Termination reason: Instruction limit
% 2.62/1.28 % (1038664)Termination phase: Saturation
% 2.62/1.28 % (1038664)Time elapsed: 0.064 s
% 2.62/1.28 % (1038664)Peak memory usage: 88 MB
% 2.62/1.28 % (1038664)Instructions burned: 120 (million)
% 2.62/1.28 % (1038663)------------------------------
% 2.62/1.28 % (1038663)------------------------------
% 2.62/1.28 % (1038675)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1728320326:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.62/1.28 % (1038675)Also succeeded, but the first one will report.
% 2.62/1.28 % (1038674)lrs+10_1_sil=8000:sp=occurrence:random_seed=1523264936:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.62/1.28 % (1038674)Also succeeded, but the first one will report.
% 2.62/1.28 % (1038666)------------------------------
% 2.62/1.28 % (1038666)------------------------------
% 2.62/1.28 % (1038665)Refutation found. Thanks to Tanya!
% 2.62/1.28 % SZS status Theorem for theBenchmark
% 2.62/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.52/1.48 % (1038665)------------------------------
% 3.52/1.48 % (1038665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.52/1.48 % (1038665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.52/1.48 % (1038665)CaDiCaL version: 2.1.3
% 3.52/1.48 % (1038665)Termination reason: Refutation
% 3.52/1.48 % (1038665)Time elapsed: 0.010 s
% 3.52/1.48 % (1038665)Peak memory usage: 90 MB
% 3.52/1.48 % (1038665)Instructions burned: 11 (million)
% 3.52/1.48 % (1038665)------------------------------
% 3.52/1.48 % (1038665)------------------------------
% 3.52/1.48 % (1038655)Success in time 0.417 s
% 3.52/1.48 % Vampire exiting
%------------------------------------------------------------------------------