%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT027+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 : n015.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 2.80s 1.33s
% Output : Refutation 3.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 21
% Syntax : Number of formulae : 175 ( 16 unt; 12 def)
% Number of atoms : 645 ( 16 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 891 ( 421 ~; 406 |; 40 &)
% ( 13 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 13 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 157 ( 0 sgn 148 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( environment(X0)
& stable(X0)
& in_environment(X0,X1)
& ! [X2] :
( ( greater(cardinality_at_time(first_movers,X2),zero)
& greater_or_equal(X2,X1) )
=> greater(zero,growth_rate(first_movers,X2)) ) )
=> contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from) ).
fof(f2,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater(cardinality_at_time(first_movers,X1),zero)
& greater(cardinality_at_time(efficient_producers,X1),zero) )
=> subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep) ).
fof(f3,axiom,
! [X0,X1,X2] :
( ( environment(X0)
& stable(X0)
& in_environment(X0,X1)
& greater(X2,X1) )
=> in_environment(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_long_stable_environments) ).
fof(f4,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> in_environment(X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_EP_in_stable_environments) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f6,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f7,axiom,
! [X0,X1] :
( ( environment(X0)
& in_environment(X0,X1)
& greater_or_equal(X1,appear(efficient_producers,X0)) )
=> greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6) ).
fof(f8,axiom,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( greater(X1,appear(efficient_producers,X0))
& ! [X2] :
( ( subpopulations(first_movers,efficient_producers,X0,X2)
& greater_or_equal(X2,X1) )
=> greater(zero,growth_rate(first_movers,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10) ).
fof(f9,conjecture,
! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( greater(X1,appear(efficient_producers,X0))
& contracts_from(X1,first_movers) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9) ).
fof(f10,negated_conjecture,
~ ! [X0] :
( ( environment(X0)
& stable(X0) )
=> ? [X1] :
( greater(X1,appear(efficient_producers,X0))
& contracts_from(X1,first_movers) ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( contracts_from(X1,first_movers)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater(cardinality_at_time(first_movers,X2),zero)
& greater_or_equal(X2,X1) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1] :
( contracts_from(X1,first_movers)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ? [X2] :
( ~ greater(zero,growth_rate(first_movers,X2))
& greater(cardinality_at_time(first_movers,X2),zero)
& greater_or_equal(X2,X1) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(ennf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( in_environment(X0,X2)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f16,plain,
! [X0,X1,X2] :
( in_environment(X0,X2)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,X1) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0] :
( in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0] :
( in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f20,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f22,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0] :
( ? [X1] :
( greater(X1,appear(efficient_producers,X0))
& ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f24,plain,
! [X0] :
( ? [X1] :
( greater(X1,appear(efficient_producers,X0))
& ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,X1) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
? [X0] :
( ! [X1] :
( ~ greater(X1,appear(efficient_producers,X0))
| ~ contracts_from(X1,first_movers) )
& environment(X0)
& stable(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f26,plain,
? [X0] :
( ! [X1] :
( ~ greater(X1,appear(efficient_producers,X0))
| ~ contracts_from(X1,first_movers) )
& environment(X0)
& stable(X0) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( contracts_from(X1,first_movers)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ( ~ greater(zero,growth_rate(first_movers,sK0(X1)))
& greater(cardinality_at_time(first_movers,sK0(X1)),zero)
& greater_or_equal(sK0(X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X1))],[f12]) ).
fof(f28,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) )
& ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) )
& ( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ( greater(sK1(X0),appear(efficient_producers,X0))
& ! [X2] :
( greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK1(X0)) ) )
| ~ environment(X0)
| ~ stable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f24]) ).
fof(f31,plain,
( ! [X1] :
( ~ greater(X1,appear(efficient_producers,sK2))
| ~ contracts_from(X1,first_movers) )
& environment(sK2)
& stable(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f26]) ).
fof(f32,plain,
! [X0,X1] :
( greater_or_equal(sK0(X1),X1)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| contracts_from(X1,first_movers) ),
inference(cnf_transformation,[],[f27]) ).
fof(f33,plain,
! [X0,X1] :
( greater(cardinality_at_time(first_movers,sK0(X1)),zero)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| contracts_from(X1,first_movers) ),
inference(cnf_transformation,[],[f27]) ).
fof(f34,plain,
! [X0,X1] :
( contracts_from(X1,first_movers)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(first_movers,sK0(X1))) ),
inference(cnf_transformation,[],[f27]) ).
fof(f35,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(cnf_transformation,[],[f14]) ).
fof(f36,plain,
! [X2,X0,X1] :
( in_environment(X0,X2)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f37,plain,
! [X0] :
( in_environment(X0,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f38,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f39,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f40,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f41,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f42,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,appear(efficient_producers,X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
! [X2,X0] :
( greater(zero,growth_rate(first_movers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK1(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f44,plain,
! [X0] :
( greater(sK1(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f45,plain,
stable(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f46,plain,
environment(sK2),
inference(cnf_transformation,[],[f31]) ).
fof(f47,plain,
! [X1] :
( ~ contracts_from(X1,first_movers)
| ~ greater(X1,appear(efficient_producers,sK2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f48,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f40]) ).
fof(f49,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(first_movers,sK0(X1)))
| ~ greater(X1,appear(efficient_producers,sK2)) ),
inference(resolution,[],[f34,f47]) ).
fof(f50,plain,
! [X0] :
( ~ environment(sK2)
| ~ in_environment(sK2,X0)
| ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ greater(X0,appear(efficient_producers,sK2)) ),
inference(resolution,[],[f49,f45]) ).
fof(f51,plain,
! [X0] :
( ~ in_environment(sK2,X0)
| ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ greater(X0,appear(efficient_producers,sK2)) ),
inference(forward_subsumption_resolution,[],[f50,f46]) ).
fof(f53,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ greater(X0,appear(efficient_producers,sK2))
| ~ environment(sK2)
| ~ stable(sK2)
| ~ in_environment(sK2,X1)
| ~ greater(X0,X1) ),
inference(resolution,[],[f51,f36]) ).
fof(f54,plain,
! [X0,X1] :
( ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ greater(X0,appear(efficient_producers,sK2))
| ~ stable(sK2)
| ~ in_environment(sK2,X1)
| ~ greater(X0,X1) ),
inference(forward_subsumption_resolution,[],[f53,f46]) ).
fof(f56,plain,
! [X0,X1] :
( ~ in_environment(sK2,X1)
| ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ greater(X0,X1) ),
inference(forward_subsumption_resolution,[],[f54,f45]) ).
fof(f69,plain,
! [X0] :
( ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ greater(X0,appear(efficient_producers,sK2))
| ~ environment(sK2)
| ~ stable(sK2) ),
inference(resolution,[],[f56,f37]) ).
fof(f71,plain,
! [X0] :
( ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ environment(sK2)
| ~ stable(sK2) ),
inference(duplicate_literal_removal,[],[f69]) ).
fof(f73,plain,
! [X0] :
( ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ stable(sK2) ),
inference(forward_subsumption_resolution,[],[f71,f46]) ).
fof(f75,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sK0(X0)))
| ~ greater(X0,appear(efficient_producers,sK2)) ),
inference(forward_subsumption_resolution,[],[f73,f45]) ).
fof(f79,plain,
! [X0,X1] :
( ~ stable(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,sK0(X0))
| ~ greater_or_equal(sK0(X0),sK1(X1))
| ~ environment(X1)
| ~ greater(X0,appear(efficient_producers,sK2)) ),
inference(resolution,[],[f75,f43]) ).
fof(f116,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,sK0(X0))
| ~ greater_or_equal(sK0(X0),sK1(sK2))
| ~ environment(sK2)
| ~ greater(X0,appear(efficient_producers,sK2)) ),
inference(resolution,[],[f79,f45]) ).
fof(f117,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK2,sK0(X0))
| ~ greater_or_equal(sK0(X0),sK1(sK2))
| ~ greater(X0,appear(efficient_producers,sK2)) ),
inference(forward_subsumption_resolution,[],[f116,f46]) ).
fof(f130,plain,
! [X0] :
( ~ greater_or_equal(sK0(X0),sK1(sK2))
| ~ greater(X0,appear(efficient_producers,sK2))
| ~ environment(sK2)
| ~ in_environment(sK2,sK0(X0))
| ~ greater(cardinality_at_time(first_movers,sK0(X0)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK0(X0)),zero) ),
inference(resolution,[],[f117,f35]) ).
fof(f131,plain,
! [X0] :
( ~ in_environment(sK2,sK0(X0))
| ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater_or_equal(sK0(X0),sK1(sK2))
| ~ greater(cardinality_at_time(first_movers,sK0(X0)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK0(X0)),zero) ),
inference(forward_subsumption_resolution,[],[f130,f46]) ).
fof(f180,plain,
! [X0,X1] :
( ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater_or_equal(sK0(X0),sK1(sK2))
| ~ greater(cardinality_at_time(first_movers,sK0(X0)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK0(X0)),zero)
| ~ environment(sK2)
| ~ stable(sK2)
| ~ in_environment(sK2,X1)
| ~ greater(sK0(X0),X1) ),
inference(resolution,[],[f131,f36]) ).
fof(f181,plain,
! [X0,X1] :
( ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater_or_equal(sK0(X0),sK1(sK2))
| ~ greater(cardinality_at_time(first_movers,sK0(X0)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK0(X0)),zero)
| ~ stable(sK2)
| ~ in_environment(sK2,X1)
| ~ greater(sK0(X0),X1) ),
inference(forward_subsumption_resolution,[],[f180,f46]) ).
fof(f182,plain,
! [X0,X1] :
( ~ greater_or_equal(sK0(X0),sK1(sK2))
| ~ greater(X0,appear(efficient_producers,sK2))
| ~ greater(cardinality_at_time(first_movers,sK0(X0)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK0(X0)),zero)
| ~ in_environment(sK2,X1)
| ~ greater(sK0(X0),X1) ),
inference(forward_subsumption_resolution,[],[f181,f45]) ).
fof(f223,plain,
! [X0,X1] :
( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ greater(cardinality_at_time(first_movers,sK0(sK1(sK2))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK0(sK1(sK2))),zero)
| ~ in_environment(sK2,X0)
| ~ greater(sK0(sK1(sK2)),X0)
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,sK1(sK2))
| contracts_from(sK1(sK2),first_movers) ),
inference(resolution,[],[f182,f32]) ).
fof(f225,plain,
! [X0,X1] :
( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ greater(cardinality_at_time(first_movers,sK0(sK1(sK2))),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK0(sK1(sK2))),zero)
| ~ in_environment(sK2,X0)
| ~ greater(sK0(sK1(sK2)),X0)
| ~ environment(X1)
| ~ stable(X1)
| ~ in_environment(X1,sK1(sK2)) ),
inference(forward_subsumption_resolution,[],[f223,f47]) ).
fof(f227,definition,
( spl3_7
<=> ! [X1] :
( ~ environment(X1)
| ~ in_environment(X1,sK1(sK2))
| ~ stable(X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f228,plain,
( ! [X1] :
( ~ stable(X1)
| ~ in_environment(X1,sK1(sK2))
| ~ environment(X1) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f230,definition,
( spl3_8
<=> ! [X0] :
( ~ in_environment(sK2,X0)
| ~ greater(sK0(sK1(sK2)),X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f231,plain,
( ! [X0] :
( ~ greater(sK0(sK1(sK2)),X0)
| ~ in_environment(sK2,X0) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f233,definition,
( spl3_9
<=> greater(cardinality_at_time(efficient_producers,sK0(sK1(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f235,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK0(sK1(sK2))),zero)
| spl3_9 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f237,definition,
( spl3_10
<=> greater(cardinality_at_time(first_movers,sK0(sK1(sK2))),zero) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f239,plain,
( ~ greater(cardinality_at_time(first_movers,sK0(sK1(sK2))),zero)
| spl3_10 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f241,definition,
( spl3_11
<=> greater(sK1(sK2),appear(efficient_producers,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
fof(f242,plain,
( greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f243,plain,
( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| spl3_11 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f244,plain,
( spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f225,f241,f237,f233,f230,f227]) ).
fof(f245,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK0(sK1(sK2)))
| ~ greater_or_equal(sK0(sK1(sK2)),appear(efficient_producers,X0)) )
| spl3_9 ),
inference(resolution,[],[f235,f42]) ).
fof(f266,definition,
( spl3_14
<=> ! [X0] :
( ~ environment(X0)
| ~ greater_or_equal(sK0(sK1(sK2)),appear(efficient_producers,X0))
| ~ in_environment(X0,sK0(sK1(sK2))) ) ),
introduced(definition,[new_symbols(definition,[spl3_14])],[avatar_definition]) ).
fof(f267,plain,
( ! [X0] :
( ~ greater_or_equal(sK0(sK1(sK2)),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,sK0(sK1(sK2))) )
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f307,definition,
( spl3_16
<=> in_environment(sK2,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_16])],[avatar_definition]) ).
fof(f308,plain,
( in_environment(sK2,sK1(sK2))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( ~ in_environment(sK2,sK1(sK2))
| spl3_16 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f314,plain,
( ! [X0] :
( ~ environment(sK2)
| ~ stable(sK2)
| ~ in_environment(sK2,X0)
| ~ greater(sK1(sK2),X0) )
| spl3_16 ),
inference(resolution,[],[f309,f36]) ).
fof(f315,plain,
( ! [X0] :
( ~ stable(sK2)
| ~ in_environment(sK2,X0)
| ~ greater(sK1(sK2),X0) )
| spl3_16 ),
inference(forward_subsumption_resolution,[],[f314,f46]) ).
fof(f316,plain,
( ! [X0] :
( ~ in_environment(sK2,X0)
| ~ greater(sK1(sK2),X0) )
| spl3_16 ),
inference(forward_subsumption_resolution,[],[f315,f45]) ).
fof(f351,plain,
( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ environment(sK2)
| ~ stable(sK2)
| spl3_16 ),
inference(resolution,[],[f316,f37]) ).
fof(f354,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl3_16 ),
inference(forward_subsumption_resolution,[],[f351,f44]) ).
fof(f356,plain,
( ~ stable(sK2)
| spl3_16 ),
inference(forward_subsumption_resolution,[],[f354,f46]) ).
fof(f357,plain,
( $false
| spl3_16 ),
inference(forward_subsumption_resolution,[],[f356,f45]) ).
fof(f358,plain,
spl3_16,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f366,definition,
( spl3_24
<=> greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f367,plain,
( greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero)
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f368,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero)
| spl3_24 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f370,definition,
( spl3_25
<=> greater(cardinality_at_time(first_movers,sK1(sK2)),zero) ),
introduced(definition,[new_symbols(definition,[spl3_25])],[avatar_definition]) ).
fof(f379,plain,
( ! [X0] :
( ~ greater_or_equal(sK1(sK2),appear(efficient_producers,X0))
| ~ in_environment(X0,sK1(sK2))
| ~ environment(X0) )
| spl3_24 ),
inference(resolution,[],[f368,f42]) ).
fof(f391,plain,
( spl3_14
| spl3_9 ),
inference(avatar_split_clause,[],[f245,f233,f266]) ).
fof(f393,plain,
( ~ environment(sK2)
| ~ stable(sK2)
| spl3_11 ),
inference(resolution,[],[f243,f44]) ).
fof(f405,plain,
( ~ stable(sK2)
| spl3_11 ),
inference(forward_subsumption_resolution,[],[f393,f46]) ).
fof(f406,plain,
( $false
| spl3_11 ),
inference(forward_subsumption_resolution,[],[f405,f45]) ).
fof(f407,plain,
spl3_11,
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f409,plain,
( ! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK1(sK2))
| contracts_from(sK1(sK2),first_movers) )
| spl3_10 ),
inference(resolution,[],[f239,f33]) ).
fof(f422,definition,
( spl3_33
<=> contracts_from(sK1(sK2),first_movers) ),
introduced(definition,[new_symbols(definition,[spl3_33])],[avatar_definition]) ).
fof(f424,plain,
( contracts_from(sK1(sK2),first_movers)
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f425,plain,
( spl3_33
| spl3_7
| spl3_10 ),
inference(avatar_split_clause,[],[f409,f237,f227,f422]) ).
fof(f426,plain,
( ~ in_environment(sK2,sK1(sK2))
| ~ environment(sK2)
| ~ spl3_7 ),
inference(resolution,[],[f228,f45]) ).
fof(f427,plain,
( ~ environment(sK2)
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f426,f308]) ).
fof(f428,plain,
( $false
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f427,f46]) ).
fof(f429,plain,
( ~ spl3_7
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f430,plain,
( ! [X0] :
( ~ greater_or_equal(sK0(sK1(sK2)),X0)
| sK0(sK1(sK2)) = X0
| ~ in_environment(sK2,X0) )
| ~ spl3_8 ),
inference(resolution,[],[f231,f39]) ).
fof(f439,plain,
( ! [X0] :
( sK1(sK2) = sK0(sK1(sK2))
| ~ in_environment(sK2,sK1(sK2))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK1(sK2))
| contracts_from(sK1(sK2),first_movers) )
| ~ spl3_8 ),
inference(resolution,[],[f430,f32]) ).
fof(f442,plain,
( ! [X0] :
( sK1(sK2) = sK0(sK1(sK2))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK1(sK2))
| contracts_from(sK1(sK2),first_movers) )
| ~ spl3_8
| ~ spl3_16 ),
inference(forward_subsumption_resolution,[],[f439,f308]) ).
fof(f444,definition,
( spl3_34
<=> sK1(sK2) = sK0(sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_34])],[avatar_definition]) ).
fof(f446,plain,
( sK1(sK2) = sK0(sK1(sK2))
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f447,plain,
( spl3_33
| spl3_7
| spl3_34
| ~ spl3_8
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f442,f307,f230,f444,f227,f422]) ).
fof(f467,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sK1(sK2))
| ~ greater(sK1(sK2),appear(efficient_producers,X0)) )
| spl3_24 ),
inference(resolution,[],[f379,f41]) ).
fof(f484,plain,
( ~ in_environment(sK2,sK1(sK2))
| ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| spl3_24 ),
inference(resolution,[],[f467,f46]) ).
fof(f485,plain,
( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ spl3_16
| spl3_24 ),
inference(forward_subsumption_resolution,[],[f484,f308]) ).
fof(f486,plain,
( $false
| ~ spl3_11
| ~ spl3_16
| spl3_24 ),
inference(forward_subsumption_resolution,[],[f485,f242]) ).
fof(f487,plain,
( ~ spl3_11
| ~ spl3_16
| spl3_24 ),
inference(avatar_contradiction_clause,[],[f486]) ).
fof(f537,plain,
( ! [X0] :
( ~ in_environment(X0,sK0(sK1(sK2)))
| ~ environment(X0)
| ~ greater(sK0(sK1(sK2)),appear(efficient_producers,X0)) )
| ~ spl3_14 ),
inference(resolution,[],[f267,f41]) ).
fof(f575,plain,
( ! [X0,X1] :
( ~ environment(X0)
| ~ greater(sK0(sK1(sK2)),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ greater(sK0(sK1(sK2)),X1) )
| ~ spl3_14 ),
inference(resolution,[],[f537,f36]) ).
fof(f576,plain,
( ! [X0,X1] :
( ~ stable(X0)
| ~ greater(sK0(sK1(sK2)),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(sK0(sK1(sK2)),X1) )
| ~ spl3_14 ),
inference(duplicate_literal_removal,[],[f575]) ).
fof(f718,plain,
( ! [X0] :
( ~ greater(sK0(sK1(sK2)),appear(efficient_producers,sK2))
| ~ environment(sK2)
| ~ in_environment(sK2,X0)
| ~ greater(sK0(sK1(sK2)),X0) )
| ~ spl3_14 ),
inference(resolution,[],[f576,f45]) ).
fof(f719,plain,
( ! [X0] :
( ~ greater(sK0(sK1(sK2)),appear(efficient_producers,sK2))
| ~ in_environment(sK2,X0)
| ~ greater(sK0(sK1(sK2)),X0) )
| ~ spl3_14 ),
inference(forward_subsumption_resolution,[],[f718,f46]) ).
fof(f721,definition,
( spl3_42
<=> greater(sK0(sK1(sK2)),appear(efficient_producers,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_42])],[avatar_definition]) ).
fof(f723,plain,
( ~ greater(sK0(sK1(sK2)),appear(efficient_producers,sK2))
| spl3_42 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f724,plain,
( spl3_8
| ~ spl3_42
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f719,f266,f721,f230]) ).
fof(f728,plain,
( ! [X0] :
( ~ greater(sK0(sK1(sK2)),X0)
| ~ greater(X0,appear(efficient_producers,sK2)) )
| spl3_42 ),
inference(resolution,[],[f723,f38]) ).
fof(f742,plain,
( ! [X0] :
( ~ greater_or_equal(sK0(sK1(sK2)),X0)
| sK0(sK1(sK2)) = X0
| ~ greater(X0,appear(efficient_producers,sK2)) )
| spl3_42 ),
inference(resolution,[],[f728,f39]) ).
fof(f755,plain,
( ! [X0] :
( sK1(sK2) = sK0(sK1(sK2))
| ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK1(sK2))
| contracts_from(sK1(sK2),first_movers) )
| spl3_42 ),
inference(resolution,[],[f742,f32]) ).
fof(f758,plain,
( ! [X0] :
( sK1(sK2) = sK0(sK1(sK2))
| ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK1(sK2)) )
| spl3_42 ),
inference(forward_subsumption_resolution,[],[f755,f47]) ).
fof(f759,plain,
( ! [X0] :
( sK1(sK2) = sK0(sK1(sK2))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK1(sK2)) )
| ~ spl3_11
| spl3_42 ),
inference(forward_subsumption_resolution,[],[f758,f242]) ).
fof(f760,plain,
( spl3_7
| spl3_34
| ~ spl3_11
| spl3_42 ),
inference(avatar_split_clause,[],[f759,f721,f241,f444,f227]) ).
fof(f761,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero)
| spl3_9
| ~ spl3_34 ),
inference(superposition,[],[f235,f446]) ).
fof(f774,plain,
( ! [X0] :
( greater(cardinality_at_time(first_movers,sK1(sK2)),zero)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sK1(sK2))
| contracts_from(sK1(sK2),first_movers) )
| ~ spl3_34 ),
inference(superposition,[],[f33,f446]) ).
fof(f778,plain,
( ~ in_environment(sK2,sK1(sK2))
| ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ greater_or_equal(sK1(sK2),sK1(sK2))
| ~ greater(cardinality_at_time(first_movers,sK1(sK2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero)
| ~ spl3_34 ),
inference(superposition,[],[f131,f446]) ).
fof(f798,plain,
( $false
| spl3_9
| ~ spl3_24
| ~ spl3_34 ),
inference(forward_subsumption_resolution,[],[f761,f367]) ).
fof(f799,plain,
( spl3_9
| ~ spl3_24
| ~ spl3_34 ),
inference(avatar_contradiction_clause,[],[f798]) ).
fof(f824,plain,
( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ spl3_33 ),
inference(resolution,[],[f424,f47]) ).
fof(f825,plain,
( $false
| ~ spl3_11
| ~ spl3_33 ),
inference(forward_subsumption_resolution,[],[f824,f242]) ).
fof(f826,plain,
( ~ spl3_11
| ~ spl3_33 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f834,plain,
( ~ greater(sK1(sK2),appear(efficient_producers,sK2))
| ~ greater_or_equal(sK1(sK2),sK1(sK2))
| ~ greater(cardinality_at_time(first_movers,sK1(sK2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero)
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_subsumption_resolution,[],[f778,f308]) ).
fof(f835,plain,
( spl3_33
| spl3_7
| spl3_25
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f774,f444,f370,f227,f422]) ).
fof(f839,plain,
( ~ greater_or_equal(sK1(sK2),sK1(sK2))
| ~ greater(cardinality_at_time(first_movers,sK1(sK2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero)
| ~ spl3_11
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_subsumption_resolution,[],[f834,f242]) ).
fof(f850,plain,
( ~ greater(cardinality_at_time(first_movers,sK1(sK2)),zero)
| ~ greater(cardinality_at_time(efficient_producers,sK1(sK2)),zero)
| ~ spl3_11
| ~ spl3_16
| ~ spl3_34 ),
inference(forward_subsumption_resolution,[],[f839,f48]) ).
fof(f852,plain,
( ~ greater(cardinality_at_time(first_movers,sK1(sK2)),zero)
| ~ spl3_11
| ~ spl3_16
| ~ spl3_24
| ~ spl3_34 ),
inference(forward_subsumption_resolution,[],[f850,f367]) ).
fof(f853,plain,
( ~ spl3_25
| ~ spl3_11
| ~ spl3_16
| ~ spl3_24
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f852,f444,f366,f307,f241,f370]) ).
cnf(s4,plain,
( spl3_7
| spl3_8
| ~ spl3_9
| ~ spl3_10
| ~ spl3_11 ),
inference(sat_conversion,[],[f244]) ).
cnf(s10,plain,
spl3_16,
inference(sat_conversion,[],[f358]) ).
cnf(s13,plain,
( spl3_9
| spl3_14 ),
inference(sat_conversion,[],[f391]) ).
cnf(s16,plain,
spl3_11,
inference(sat_conversion,[],[f407]) ).
cnf(s18,plain,
( spl3_7
| spl3_10
| spl3_33 ),
inference(sat_conversion,[],[f425]) ).
cnf(s19,plain,
( ~ spl3_7
| ~ spl3_16 ),
inference(sat_conversion,[],[f429]) ).
cnf(s21,plain,
( spl3_7
| ~ spl3_8
| ~ spl3_16
| spl3_33
| spl3_34 ),
inference(sat_conversion,[],[f447]) ).
cnf(s25,plain,
( ~ spl3_11
| ~ spl3_16
| spl3_24 ),
inference(sat_conversion,[],[f487]) ).
cnf(s33,plain,
( spl3_8
| ~ spl3_14
| ~ spl3_42 ),
inference(sat_conversion,[],[f724]) ).
cnf(s35,plain,
( spl3_7
| ~ spl3_11
| spl3_34
| spl3_42 ),
inference(sat_conversion,[],[f760]) ).
cnf(s41,plain,
( spl3_9
| ~ spl3_24
| ~ spl3_34 ),
inference(sat_conversion,[],[f799]) ).
cnf(s47,plain,
( ~ spl3_11
| ~ spl3_33 ),
inference(sat_conversion,[],[f826]) ).
cnf(s50,plain,
( spl3_7
| spl3_25
| spl3_33
| ~ spl3_34 ),
inference(sat_conversion,[],[f835]) ).
cnf(s56,plain,
( ~ spl3_11
| ~ spl3_16
| ~ spl3_24
| ~ spl3_25
| ~ spl3_34 ),
inference(sat_conversion,[],[f853]) ).
cnf(s58,plain,
~ spl3_33,
inference(rat,[],[s47,s16]) ).
cnf(s59,plain,
spl3_24,
inference(rat,[],[s25,s16,s10]) ).
cnf(s60,plain,
~ spl3_7,
inference(rat,[],[s19,s10]) ).
cnf(s62,plain,
spl3_10,
inference(rat,[],[s18,s58,s60]) ).
cnf(s66,plain,
( spl3_8
| ~ spl3_9 ),
inference(rat,[],[s4,s16,s62,s60]) ).
cnf(s67,plain,
spl3_8,
inference(rat,[],[s33,s35,s13,s41,s66,s16,s60,s59]) ).
cnf(s68,plain,
spl3_34,
inference(rat,[],[s21,s60,s58,s10,s67]) ).
cnf(s73,plain,
~ spl3_25,
inference(rat,[],[s56,s59,s10,s16,s68]) ).
cnf(s74,plain,
$false,
inference(rat,[],[s50,s60,s58,s68,s73]) ).
fof(f854,plain,
$false,
inference(avatar_sat_refutation,[],[s74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT027+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:22:01 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 2.80/1.33 % (1879782)Detected formulas, will run a generic FOF schedule.
% 2.80/1.33 % (1879790)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2865046854:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.80/1.33 % (1879790)Instruction limit reached!
% 2.80/1.33 % (1879790)------------------------------
% 2.80/1.33 % (1879790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.33 % (1879790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.33 % (1879790)CaDiCaL version: 2.1.3
% 2.80/1.33 % (1879790)Termination reason: Instruction limit
% 2.80/1.33 % (1879790)Termination phase: Saturation
% 2.80/1.33 % (1879790)Time elapsed: 0.025 s
% 2.80/1.33 % (1879790)Peak memory usage: 88 MB
% 2.80/1.33 % (1879790)Instructions burned: 113 (million)
% 2.80/1.33 % (1879787)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=2134711197:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.80/1.33 % (1879789)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=1831982433:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.80/1.33 % (1879788)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=1584932342:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.80/1.33 % (1879792)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=925311138:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.80/1.33 % (1879793)dis-21_1_sil=8000:lcm=predicate:random_seed=2763780015: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)
% 2.80/1.33 % (1879791)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3189313930:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.80/1.33 % (1879792)First to succeed.
% 2.80/1.33 % (1879792)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1879782"
% 2.80/1.33 % (1879791)Instruction limit reached!
% 2.80/1.33 % (1879791)------------------------------
% 2.80/1.33 % (1879791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.33 % (1879791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.33 % (1879791)CaDiCaL version: 2.1.3
% 2.80/1.33 % (1879791)Termination reason: Instruction limit
% 2.80/1.33 % (1879791)Termination phase: Saturation
% 2.80/1.33 % (1879791)Time elapsed: 0.048 s
% 2.80/1.33 % (1879791)Peak memory usage: 87 MB
% 2.80/1.33 % (1879791)Instructions burned: 122 (million)
% 2.80/1.33 % (1879793)Instruction limit reached!
% 2.80/1.33 % (1879793)------------------------------
% 2.80/1.33 % (1879793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.33 % (1879793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.33 % (1879793)CaDiCaL version: 2.1.3
% 2.80/1.33 % (1879793)Termination reason: Instruction limit
% 2.80/1.33 % (1879793)Termination phase: Saturation
% 2.80/1.33 % (1879793)Time elapsed: 0.053 s
% 2.80/1.33 % (1879793)Peak memory usage: 88 MB
% 2.80/1.33 % (1879793)Instructions burned: 133 (million)
% 2.80/1.33 % (1879795)lrs+10_1_sil=8000:sp=occurrence:random_seed=2032232984:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.80/1.33 % (1879795)Also succeeded, but the first one will report.
% 2.80/1.33 % (1879803)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2787132795:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.80/1.33 % (1879802)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4106738688:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.80/1.33 % (1879802)Refutation not found, incomplete strategy
% 2.80/1.33 % (1879802)------------------------------
% 2.80/1.33 % (1879802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.80/1.33 % (1879802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.80/1.33 % (1879802)CaDiCaL version: 2.1.3
% 2.80/1.33 % (1879802)Termination reason: Refutation not found, incomplete strategy
% 2.80/1.33 % (1879802)Time elapsed: 0.003 s
% 2.80/1.33 % (1879802)Peak memory usage: 88 MB
% 2.80/1.33 % (1879802)Instructions burned: 2 (million)
% 2.80/1.33 % (1879803)Also succeeded, but the first one will report.
% 2.80/1.33 % (1879792)Refutation found. Thanks to Tanya!
% 2.80/1.33 % SZS status Theorem for theBenchmark
% 2.80/1.33 % SZS output start Proof for theBenchmark
% See solution above
% 3.90/1.53 % (1879792)------------------------------
% 3.90/1.53 % (1879792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.90/1.53 % (1879792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.90/1.53 % (1879792)CaDiCaL version: 2.1.3
% 3.90/1.53 % (1879792)Termination reason: Refutation
% 3.90/1.53 % (1879792)Time elapsed: 0.035 s
% 3.90/1.53 % (1879792)Peak memory usage: 90 MB
% 3.90/1.53 % (1879792)Instructions burned: 50 (million)
% 3.90/1.53 % (1879792)------------------------------
% 3.90/1.53 % (1879792)------------------------------
% 3.90/1.53 % (1879782)Success in time 0.462 s
% 3.90/1.53 % Vampire exiting
%------------------------------------------------------------------------------