%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT030+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 : n012.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 12:02:05 PM UTC 2026
% Result : Theorem 0.26s 0.78s
% Output : Refutation 2.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 75 ( 9 unt; 4 def)
% Number of atoms : 283 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 343 ( 135 ~; 135 |; 58 &)
% ( 3 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 4 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 58 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( ( environment(X0)
& ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) )
=> ? [X1] :
( in_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)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds) ).
fof(f2,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f3,conjecture,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_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)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l12) ).
fof(f4,negated_conjecture,
~ ! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( in_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)) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] :
( ( environment(X0)
& ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) ) )
=> ? [X3] :
( in_environment(X0,X3)
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,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(f6,plain,
! [X0] :
( ? [X3] :
( in_environment(X0,X3)
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater(X4,X3) ) )
| ~ environment(X0)
| ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f7,plain,
! [X0] :
( ? [X3] :
( in_environment(X0,X3)
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater(X4,X3) ) )
| ~ environment(X0)
| ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) ) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
? [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) ) )
& environment(X0)
& stable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f11,plain,
? [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) ) )
& environment(X0)
& stable(X0) ),
inference(flattening,[],[f10]) ).
fof(f12,definition,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f13,plain,
! [X0] :
( ? [X3] :
( in_environment(X0,X3)
& ~ greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3))
& ! [X4] :
( greater(growth_rate(efficient_producers,X4),growth_rate(first_movers,X4))
| ~ subpopulations(first_movers,efficient_producers,X0,X4)
| ~ greater(X4,X3) ) )
| ~ environment(X0)
| sP0(X0) ),
inference(definition_folding,[],[f7,f12]) ).
fof(f14,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ? [X2] :
( ~ greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f15,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ( ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
& subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1))
& greater_or_equal(sK1(X0,X1),X1) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f14]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( in_environment(X0,X1)
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1) ) )
| ~ environment(X0)
| sP0(X0) ),
inference(rectify,[],[f13]) ).
fof(f17,plain,
! [X0] :
( ( in_environment(X0,sK2(X0))
& ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0)))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sK2(X0)) ) )
| ~ environment(X0)
| sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f16]) ).
fof(f18,plain,
! [X0] :
( ( in_environment(X0,sK3(X0))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK3(X0)) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f9]) ).
fof(f19,plain,
( ! [X1] :
( ~ in_environment(sK4,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ( ~ greater(growth_rate(efficient_producers,sK5(X1)),growth_rate(first_movers,sK5(X1)))
& subpopulations(first_movers,efficient_producers,sK4,sK5(X1))
& greater(sK5(X1),X1) ) )
& environment(sK4)
& stable(sK4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X2,sK5(X1))],[f11]) ).
fof(f20,plain,
! [X0,X1] :
( greater_or_equal(sK1(X0,X1),X1)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1))
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f23,plain,
! [X2,X0] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sK2(X0))
| ~ environment(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f24,plain,
! [X0] :
( sP0(X0)
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sK2(X0)),growth_rate(first_movers,sK2(X0))) ),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
! [X0] :
( sP0(X0)
| ~ environment(X0)
| in_environment(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f26,plain,
! [X2,X0] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK3(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f27,plain,
! [X0] :
( in_environment(X0,sK3(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
stable(sK4),
inference(cnf_transformation,[],[f19]) ).
fof(f29,plain,
environment(sK4),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
! [X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(sK4,X1)
| greater(sK5(X1),X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
! [X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(sK4,X1)
| subpopulations(first_movers,efficient_producers,sK4,sK5(X1)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
! [X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(sK4,X1)
| ~ greater(growth_rate(efficient_producers,sK5(X1)),growth_rate(first_movers,sK5(X1))) ),
inference(cnf_transformation,[],[f19]) ).
fof(f33,plain,
! [X0] :
( ~ stable(X0)
| ~ sP0(X0)
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sK1(X0,sK3(X0))),growth_rate(first_movers,sK1(X0,sK3(X0)))) ),
inference(resolution,[],[f22,f27]) ).
fof(f34,plain,
( ~ sP0(sK4)
| ~ environment(sK4)
| ~ greater(growth_rate(efficient_producers,sK1(sK4,sK3(sK4))),growth_rate(first_movers,sK1(sK4,sK3(sK4)))) ),
inference(resolution,[],[f33,f28]) ).
fof(f35,plain,
( ~ sP0(sK4)
| ~ greater(growth_rate(efficient_producers,sK1(sK4,sK3(sK4))),growth_rate(first_movers,sK1(sK4,sK3(sK4)))) ),
inference(forward_subsumption_resolution,[],[f34,f29]) ).
fof(f37,definition,
( spl6_1
<=> greater(growth_rate(efficient_producers,sK1(sK4,sK3(sK4))),growth_rate(first_movers,sK1(sK4,sK3(sK4)))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f39,plain,
( ~ greater(growth_rate(efficient_producers,sK1(sK4,sK3(sK4))),growth_rate(first_movers,sK1(sK4,sK3(sK4))))
| spl6_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl6_2
<=> sP0(sK4) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f43,plain,
( ~ sP0(sK4)
| spl6_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f46,plain,
( ! [X0] :
( ~ greater_or_equal(sK1(sK4,sK3(sK4)),sK3(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,sK1(sK4,sK3(sK4)))
| ~ environment(X0)
| ~ stable(X0) )
| spl6_1 ),
inference(resolution,[],[f39,f26]) ).
fof(f69,plain,
( ~ subpopulations(first_movers,efficient_producers,sK4,sK1(sK4,sK3(sK4)))
| ~ environment(sK4)
| ~ stable(sK4)
| ~ in_environment(sK4,sK3(sK4))
| ~ sP0(sK4)
| spl6_1 ),
inference(resolution,[],[f46,f20]) ).
fof(f70,plain,
( ~ environment(sK4)
| ~ stable(sK4)
| ~ in_environment(sK4,sK3(sK4))
| ~ sP0(sK4)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f69,f21]) ).
fof(f71,plain,
( ~ stable(sK4)
| ~ in_environment(sK4,sK3(sK4))
| ~ sP0(sK4)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f70,f29]) ).
fof(f72,plain,
( ~ in_environment(sK4,sK3(sK4))
| ~ sP0(sK4)
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f71,f28]) ).
fof(f74,definition,
( spl6_7
<=> in_environment(sK4,sK3(sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f76,plain,
( ~ in_environment(sK4,sK3(sK4))
| spl6_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f77,plain,
( ~ spl6_2
| ~ spl6_7
| spl6_1 ),
inference(avatar_split_clause,[],[f72,f37,f74,f41]) ).
fof(f78,plain,
( ~ environment(sK4)
| ~ greater(growth_rate(efficient_producers,sK2(sK4)),growth_rate(first_movers,sK2(sK4)))
| spl6_2 ),
inference(resolution,[],[f43,f24]) ).
fof(f79,plain,
( ~ environment(sK4)
| in_environment(sK4,sK2(sK4))
| spl6_2 ),
inference(resolution,[],[f43,f25]) ).
fof(f80,plain,
( in_environment(sK4,sK2(sK4))
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f79,f29]) ).
fof(f81,plain,
( ~ greater(growth_rate(efficient_producers,sK2(sK4)),growth_rate(first_movers,sK2(sK4)))
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f78,f29]) ).
fof(f85,plain,
( ~ in_environment(sK4,sK2(sK4))
| ~ greater(growth_rate(efficient_producers,sK5(sK2(sK4))),growth_rate(first_movers,sK5(sK2(sK4))))
| spl6_2 ),
inference(resolution,[],[f81,f32]) ).
fof(f86,plain,
( ~ in_environment(sK4,sK2(sK4))
| subpopulations(first_movers,efficient_producers,sK4,sK5(sK2(sK4)))
| spl6_2 ),
inference(resolution,[],[f81,f31]) ).
fof(f87,plain,
( ~ in_environment(sK4,sK2(sK4))
| greater(sK5(sK2(sK4)),sK2(sK4))
| spl6_2 ),
inference(resolution,[],[f81,f30]) ).
fof(f88,plain,
( greater(sK5(sK2(sK4)),sK2(sK4))
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f87,f80]) ).
fof(f89,plain,
( subpopulations(first_movers,efficient_producers,sK4,sK5(sK2(sK4)))
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f86,f80]) ).
fof(f90,plain,
( ~ greater(growth_rate(efficient_producers,sK5(sK2(sK4))),growth_rate(first_movers,sK5(sK2(sK4))))
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f85,f80]) ).
fof(f91,plain,
( ! [X0] :
( ~ greater(sK5(sK2(sK4)),sK2(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,sK5(sK2(sK4)))
| ~ environment(X0)
| sP0(X0) )
| spl6_2 ),
inference(resolution,[],[f90,f23]) ).
fof(f115,plain,
( ~ subpopulations(first_movers,efficient_producers,sK4,sK5(sK2(sK4)))
| ~ environment(sK4)
| sP0(sK4)
| spl6_2 ),
inference(resolution,[],[f91,f88]) ).
fof(f116,plain,
( ~ environment(sK4)
| sP0(sK4)
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f115,f89]) ).
fof(f117,plain,
( sP0(sK4)
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f116,f29]) ).
fof(f118,plain,
( $false
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f117,f43]) ).
fof(f119,plain,
spl6_2,
inference(avatar_contradiction_clause,[],[f118]) ).
fof(f120,plain,
( ~ environment(sK4)
| ~ stable(sK4)
| spl6_7 ),
inference(resolution,[],[f76,f27]) ).
fof(f121,plain,
( ~ stable(sK4)
| spl6_7 ),
inference(forward_subsumption_resolution,[],[f120,f29]) ).
fof(f122,plain,
( $false
| spl6_7 ),
inference(forward_subsumption_resolution,[],[f121,f28]) ).
fof(f123,plain,
spl6_7,
inference(avatar_contradiction_clause,[],[f122]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s5,plain,
( spl6_1
| ~ spl6_2
| ~ spl6_7 ),
inference(sat_conversion,[],[f77]) ).
cnf(s9,plain,
spl6_2,
inference(sat_conversion,[],[f119]) ).
cnf(s10,plain,
spl6_7,
inference(sat_conversion,[],[f123]) ).
cnf(s11,plain,
spl6_1,
inference(rat,[],[s5,s10,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s9,s11]) ).
fof(f124,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : MGT030+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 27 17:21:04 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.30 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.32 Running first-order theorem proving
% 0.04/0.32 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
% 0.26/0.78 % (2609544)Detected formulas, will run a generic FOF schedule.
% 0.26/0.78 % (2609552)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=472299443:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.26/0.78 % (2609555)dis-21_1_sil=8000:lcm=predicate:random_seed=4251810893: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)
% 0.26/0.78 % (2609553)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1939685517:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.26/0.78 % (2609551)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=195347362:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.26/0.78 % (2609554)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1311198717:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.26/0.78 % (2609549)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=2971914318:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.26/0.78 % (2609550)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=2308955981:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.26/0.78 % (2609555)Also succeeded, but the first one will report.
% 0.26/0.78 % (2609554)First to succeed.
% 0.26/0.78 % (2609553)Also succeeded, but the first one will report.
% 0.26/0.78 % (2609552)Also succeeded, but the first one will report.
% 0.26/0.78 % (2609554)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2609544"
% 0.26/0.78 % (2609554)Refutation found. Thanks to Tanya!
% 0.26/0.78 % SZS status Theorem for theBenchmark
% 0.26/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.06/0.88 % (2609554)------------------------------
% 2.06/0.88 % (2609554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.06/0.88 % (2609554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.06/0.88 % (2609554)CaDiCaL version: 2.1.3
% 2.06/0.88 % (2609554)Termination reason: Refutation
% 2.06/0.88 % (2609554)Time elapsed: 0.002 s
% 2.06/0.88 % (2609554)Peak memory usage: 89 MB
% 2.06/0.88 % (2609554)Instructions burned: 4 (million)
% 2.06/0.88 % (2609554)------------------------------
% 2.06/0.88 % (2609554)------------------------------
% 2.06/0.88 % (2609544)Success in time 0.267 s
% 2.06/0.88 % Vampire exiting
%------------------------------------------------------------------------------