%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT023+2 : 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 : n018.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 12:02:03 PM UTC 2026
% Result : Theorem 2.90s 1.29s
% Output : Refutation 3.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 6 unt; 1 def)
% Number of atoms : 295 ( 18 equ)
% Maximal formula atoms : 12 ( 5 avg)
% Number of connectives : 397 ( 160 ~; 169 |; 56 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 107 ( 88 !; 19 ?)
% 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,X1] :
( ( environment(X0)
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
& in_environment(X0,X1)
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ) )
=> X1 = critical_point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1) ).
fof(f3,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(f4,conjecture,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> in_environment(X0,critical_point(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5) ).
fof(f5,negated_conjecture,
~ ! [X0] :
( ( environment(X0)
& stable(X0) )
=> in_environment(X0,critical_point(X0)) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,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(f7,plain,
! [X0,X1] :
( X1 = critical_point(X0)
| ~ environment(X0)
| 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))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1] :
( X1 = critical_point(X0)
| ~ environment(X0)
| 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))
& subpopulations(first_movers,efficient_producers,X0,X2)
& greater(X2,X1) ) ),
inference(flattening,[],[f7]) ).
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(ennf_transformation,[],[f3]) ).
fof(f10,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,[],[f9]) ).
fof(f11,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& environment(X0)
& stable(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f12,plain,
? [X0] :
( ~ in_environment(X0,critical_point(X0))
& environment(X0)
& stable(X0) ),
inference(flattening,[],[f11]) ).
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)
| ! [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,[],[f6]) ).
fof(f14,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,[],[f13]) ).
fof(f15,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(f16,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,[],[f14,f15]) ).
fof(f17,plain,
! [X0,X1] :
( X1 = critical_point(X0)
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,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(sK1(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f8]) ).
fof(f18,plain,
! [X0] :
( ( in_environment(X0,sK2(X0))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK2(X0)) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X1,sK2(X0))],[f10]) ).
fof(f19,plain,
( ~ in_environment(sK3,critical_point(sK3))
& environment(sK3)
& stable(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X0,sK3)],[f12]) ).
fof(f20,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,[],[f15]) ).
fof(f21,plain,
! [X0] :
( ! [X1] :
( ~ in_environment(X0,X1)
| ( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
& subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1))
& greater_or_equal(sK4(X0,X1),X1) ) )
| ~ sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f20]) ).
fof(f22,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,[],[f16]) ).
fof(f23,plain,
! [X0] :
( ( in_environment(X0,sK5(X0))
& ~ greater(growth_rate(efficient_producers,sK5(X0)),growth_rate(first_movers,sK5(X0)))
& ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sK5(X0)) ) )
| ~ environment(X0)
| sP0(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| greater(sK1(X0,X1),X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f25,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0)
| critical_point(X0) = X1
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sK1(X0,X1)) ),
inference(cnf_transformation,[],[f17]) ).
fof(f26,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK1(X0,X1)),growth_rate(first_movers,sK1(X0,X1)))
| ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| critical_point(X0) = X1 ),
inference(cnf_transformation,[],[f17]) ).
fof(f27,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,sK2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0] :
( in_environment(X0,sK2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
stable(sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f30,plain,
environment(sK3),
inference(cnf_transformation,[],[f19]) ).
fof(f31,plain,
~ in_environment(sK3,critical_point(sK3)),
inference(cnf_transformation,[],[f19]) ).
fof(f32,plain,
! [X0,X1] :
( greater_or_equal(sK4(X0,X1),X1)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f33,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK4(X0,X1))
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0,X1] :
( ~ greater(growth_rate(efficient_producers,sK4(X0,X1)),growth_rate(first_movers,sK4(X0,X1)))
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f35,plain,
! [X2,X0] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sK5(X0))
| ~ environment(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f36,plain,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sK5(X0)),growth_rate(first_movers,sK5(X0)))
| ~ environment(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
! [X0] :
( in_environment(X0,sK5(X0))
| ~ environment(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,sK4(X1,X2))
| ~ greater_or_equal(sK4(X1,X2),sK2(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X1,X2)
| ~ sP0(X1) ),
inference(resolution,[],[f27,f34]) ).
fof(f41,plain,
! [X0,X1] :
( greater(sK1(X0,sK5(X1)),sK5(X1))
| critical_point(X0) = sK5(X1)
| ~ in_environment(X0,sK5(X1))
| ~ environment(X0)
| ~ environment(X1)
| sP0(X1) ),
inference(resolution,[],[f24,f36]) ).
fof(f43,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sK1(X0,sK5(X1)))
| critical_point(X0) = sK5(X1)
| ~ in_environment(X0,sK5(X1))
| ~ environment(X0)
| ~ environment(X1)
| sP0(X1) ),
inference(resolution,[],[f25,f36]) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater_or_equal(sK4(X0,X1),sK2(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ sP0(X0)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(resolution,[],[f38,f33]) ).
fof(f45,plain,
! [X0,X1] :
( ~ greater_or_equal(sK4(X0,X1),sK2(X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f44]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X2,sK1(X0,X1))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| critical_point(X0) = X1
| ~ environment(X0)
| ~ greater(sK1(X0,X1),sK5(X2))
| ~ environment(X2)
| sP0(X2) ),
inference(resolution,[],[f26,f35]) ).
fof(f50,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK2(X0))
| ~ sP0(X0)
| ~ in_environment(X0,sK2(X0))
| ~ sP0(X0) ),
inference(resolution,[],[f45,f32]) ).
fof(f51,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK2(X0))
| ~ sP0(X0) ),
inference(duplicate_literal_removal,[],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ sP0(X0)
| ~ stable(X0)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[],[f51,f28]) ).
fof(f59,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,sK5(X0)),growth_rate(first_movers,sK5(X0)))
| ~ in_environment(X1,sK5(X0))
| sK5(X0) = critical_point(X1)
| ~ environment(X1)
| ~ greater(sK1(X1,sK5(X0)),sK5(X1))
| ~ environment(X1)
| sP0(X1)
| sK5(X0) = critical_point(X1)
| ~ in_environment(X1,sK5(X0))
| ~ environment(X1)
| ~ environment(X0)
| sP0(X0) ),
inference(resolution,[],[f49,f43]) ).
fof(f62,plain,
! [X0,X1] :
( greater(growth_rate(efficient_producers,sK5(X0)),growth_rate(first_movers,sK5(X0)))
| ~ in_environment(X1,sK5(X0))
| sK5(X0) = critical_point(X1)
| ~ environment(X1)
| ~ greater(sK1(X1,sK5(X0)),sK5(X1))
| sP0(X1)
| ~ environment(X0)
| sP0(X0) ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f64,plain,
! [X0,X1] :
( ~ greater(sK1(X1,sK5(X0)),sK5(X1))
| sK5(X0) = critical_point(X1)
| ~ environment(X1)
| ~ in_environment(X1,sK5(X0))
| sP0(X1)
| ~ environment(X0)
| sP0(X0) ),
inference(forward_subsumption_resolution,[],[f62,f36]) ).
fof(f71,plain,
! [X0] :
( critical_point(X0) = sK5(X0)
| ~ environment(X0)
| ~ in_environment(X0,sK5(X0))
| sP0(X0)
| ~ environment(X0)
| sP0(X0)
| critical_point(X0) = sK5(X0)
| ~ in_environment(X0,sK5(X0))
| ~ environment(X0)
| ~ environment(X0)
| sP0(X0) ),
inference(resolution,[],[f64,f41]) ).
fof(f72,plain,
! [X0] :
( critical_point(X0) = sK5(X0)
| ~ environment(X0)
| ~ in_environment(X0,sK5(X0))
| sP0(X0) ),
inference(duplicate_literal_removal,[],[f71]) ).
fof(f73,plain,
! [X0] :
( critical_point(X0) = sK5(X0)
| ~ environment(X0)
| sP0(X0) ),
inference(forward_subsumption_resolution,[],[f72,f37]) ).
fof(f74,plain,
( ~ in_environment(sK3,sK5(sK3))
| ~ environment(sK3)
| sP0(sK3) ),
inference(superposition,[],[f31,f73]) ).
fof(f75,plain,
( ~ environment(sK3)
| sP0(sK3) ),
inference(forward_subsumption_resolution,[],[f74,f37]) ).
fof(f76,plain,
sP0(sK3),
inference(forward_subsumption_resolution,[],[f75,f30]) ).
fof(f77,plain,
( ~ stable(sK3)
| ~ environment(sK3) ),
inference(resolution,[],[f76,f52]) ).
fof(f78,plain,
~ environment(sK3),
inference(forward_subsumption_resolution,[],[f77,f29]) ).
fof(f79,plain,
$false,
inference(forward_subsumption_resolution,[],[f78,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT023+2 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 17:19:09 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 2.90/1.29 % (2614938)Detected formulas, will run a generic FOF schedule.
% 2.90/1.29 % (2614944)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=2306691165:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.90/1.29 % (2614947)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=347887211:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.90/1.29 % (2614943)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=3673067867:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.90/1.29 % (2614945)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=500709826:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.90/1.29 % (2614946)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1715872198:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.90/1.29 % (2614949)dis-21_1_sil=8000:lcm=predicate:random_seed=1501928681: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)
% 2.90/1.29 % (2614948)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1481866727:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.90/1.29 % (2614949)Refutation not found, incomplete strategy
% 2.90/1.29 % (2614949)------------------------------
% 2.90/1.29 % (2614949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.90/1.29 % (2614949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.90/1.29 % (2614949)CaDiCaL version: 2.1.3
% 2.90/1.29 % (2614949)Termination reason: Refutation not found, incomplete strategy
% 2.90/1.29 % (2614949)Time elapsed: 0.002 s
% 2.90/1.29 % (2614949)Peak memory usage: 88 MB
% 2.90/1.29 % (2614949)Instructions burned: 1 (million)
% 2.90/1.29 % (2614946)First to succeed.
% 2.90/1.29 % (2614947)Also succeeded, but the first one will report.
% 2.90/1.29 % (2614946)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2614938"
% 2.90/1.29 % (2614948)Also succeeded, but the first one will report.
% 2.90/1.29 % (2614949)------------------------------
% 2.90/1.29 % (2614949)------------------------------
% 2.90/1.29 % (2614946)Refutation found. Thanks to Tanya!
% 2.90/1.29 % SZS status Theorem for theBenchmark
% 2.90/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.56/1.38 % (2614946)------------------------------
% 3.56/1.38 % (2614946)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.56/1.38 % (2614946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/1.38 % (2614946)CaDiCaL version: 2.1.3
% 3.56/1.38 % (2614946)Termination reason: Refutation
% 3.56/1.38 % (2614946)Time elapsed: 0.005 s
% 3.56/1.38 % (2614946)Peak memory usage: 88 MB
% 3.56/1.38 % (2614946)Instructions burned: 6 (million)
% 3.56/1.38 % (2614946)------------------------------
% 3.56/1.38 % (2614946)------------------------------
% 3.56/1.38 % (2614938)Success in time 0.44 s
% 3.56/1.38 % Vampire exiting
%------------------------------------------------------------------------------