%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:02:32 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.46s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 23
% Syntax : Number of formulae : 89 ( 16 unt; 6 def)
% Number of atoms : 314 ( 17 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 413 ( 188 ~; 219 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 0 sgn 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_19) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_20) ).
fof(f3,axiom,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_21) ).
fof(f4,axiom,
! [X2,X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_22) ).
fof(f5,axiom,
! [X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_23) ).
fof(f6,axiom,
! [X2,X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_24) ).
fof(f7,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_25) ).
fof(f8,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_26) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))
| ~ environment(X0)
| ~ greater(X2,sk2(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_27) ).
fof(f10,axiom,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))
| X1 = critical_point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_28) ).
fof(f11,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,sk3(X1,X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| greater(sk3(X1,X0),X1)
| X1 = critical_point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_29) ).
fof(f13,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| greater(sk3(X1,X0),X1)
| critical_point(X0) = X1 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))
| X1 = critical_point(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_30) ).
fof(f15,plain,
! [X0,X1] :
( ~ environment(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk3(X1,X0)),growth_rate(first_movers,sk3(X1,X0)))
| critical_point(X0) = X1 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk4(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_31) ).
fof(f17,axiom,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk4(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_32) ).
fof(f18,negated_conjecture,
environment(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_33) ).
fof(f19,negated_conjecture,
stable(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_34) ).
fof(f20,negated_conjecture,
~ in_environment(sk5,critical_point(sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l5_35) ).
fof(f21,plain,
( ~ environment(sk5)
| in_environment(sk5,sk4(sk5)) ),
inference(resolution,[],[f16,f19]) ).
fof(f22,plain,
in_environment(sk5,sk4(sk5)),
inference(forward_subsumption_resolution,[],[f21,f18]) ).
fof(f23,plain,
! [X0] :
( ~ environment(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| ~ greater_or_equal(X0,sk4(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(resolution,[],[f17,f19]) ).
fof(f24,plain,
! [X0] :
( ~ greater_or_equal(X0,sk4(sk5))
| ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(forward_subsumption_resolution,[],[f23,f18]) ).
fof(f27,definition,
( spl0_1
<=> in_environment(sk5,sk2(sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f29,plain,
( in_environment(sk5,sk2(sk5))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f35,plain,
! [X0] :
( ~ in_environment(sk5,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(sk3(X0,sk5),X0)
| critical_point(sk5) = X0 ),
inference(resolution,[],[f13,f18]) ).
fof(f36,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),X0)),growth_rate(first_movers,sk1(sk4(sk5),X0)))
| ~ in_environment(X0,sk4(sk5))
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
inference(resolution,[],[f24,f5]) ).
fof(f37,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),X0)),growth_rate(first_movers,sk1(sk4(sk5),X0)))
| ~ in_environment(X0,sk4(sk5))
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
inference(resolution,[],[f24,f2]) ).
fof(f38,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| ~ in_environment(X0,sk4(sk5))
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
inference(forward_subsumption_resolution,[],[f37,f7]) ).
fof(f39,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| ~ in_environment(X0,sk4(sk5))
| ~ environment(X0)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
inference(forward_subsumption_resolution,[],[f36,f8]) ).
fof(f41,plain,
( ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| in_environment(sk5,sk2(sk5))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| in_environment(sk5,sk2(sk5)) ),
inference(resolution,[],[f38,f1]) ).
fof(f42,plain,
( ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| in_environment(sk5,sk2(sk5)) ),
inference(duplicate_literal_removal,[],[f41]) ).
fof(f44,plain,
( ~ environment(sk5)
| in_environment(sk5,sk2(sk5)) ),
inference(forward_subsumption_resolution,[],[f42,f22]) ).
fof(f46,plain,
in_environment(sk5,sk2(sk5)),
inference(forward_subsumption_resolution,[],[f44,f18]) ).
fof(f48,plain,
spl0_1,
inference(avatar_split_clause,[],[f46,f27]) ).
fof(f50,definition,
( spl0_3
<=> greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f51,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f52,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| spl0_3 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f56,plain,
! [X0,X1] :
( ~ in_environment(X0,sk4(sk5))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(X1,sk2(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| greater(growth_rate(efficient_producers,sk1(sk4(sk5),X0)),growth_rate(first_movers,sk1(sk4(sk5),X0))) ),
inference(resolution,[],[f6,f24]) ).
fof(f57,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sk5,sk1(sk4(sk5),X0))
| ~ in_environment(X0,sk4(sk5))
| ~ greater(X1,sk2(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[],[f56,f9]) ).
fof(f60,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| greater(sk3(sk2(sk5),sk5),sk2(sk5))
| critical_point(sk5) = sk2(sk5)
| ~ spl0_1 ),
inference(resolution,[],[f35,f29]) ).
fof(f62,definition,
( spl0_4
<=> critical_point(sk5) = sk2(sk5) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f63,plain,
( critical_point(sk5) != sk2(sk5)
| spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f64,plain,
( critical_point(sk5) = sk2(sk5)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,definition,
( spl0_5
<=> greater(sk3(sk2(sk5),sk5),sk2(sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f68,plain,
( greater(sk3(sk2(sk5),sk5),sk2(sk5))
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( spl0_4
| spl0_5
| spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f60,f27,f50,f66,f62]) ).
fof(f97,plain,
( ~ in_environment(sk5,sk2(sk5))
| ~ spl0_4 ),
inference(superposition,[],[f20,f64]) ).
fof(f98,plain,
( $false
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f97,f29]) ).
fof(f99,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f98]) ).
fof(f132,plain,
( ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(resolution,[],[f39,f3]) ).
fof(f135,plain,
( ~ in_environment(sk5,sk4(sk5))
| ~ environment(sk5)
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f138,plain,
( ~ environment(sk5)
| ~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))) ),
inference(forward_subsumption_resolution,[],[f135,f22]) ).
fof(f141,plain,
~ greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5))),
inference(forward_subsumption_resolution,[],[f138,f18]) ).
fof(f144,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f141,f51]) ).
fof(f145,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f144]) ).
fof(f156,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| ~ environment(sk5)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(X1,sk2(sk5))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(resolution,[],[f57,f4]) ).
fof(f161,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| ~ in_environment(sk5,sk4(sk5))
| ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| ~ greater(X1,sk2(sk5))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f168,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ environment(sk5)
| ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| ~ greater(X1,sk2(sk5))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(forward_subsumption_resolution,[],[f161,f22]) ).
fof(f174,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X0)
| ~ greater(X0,sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| ~ greater(X1,sk2(sk5))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(forward_subsumption_resolution,[],[f168,f18]) ).
fof(f177,definition,
( spl0_10
<=> ! [X1] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,sk2(sk5)) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f178,plain,
( ! [X1] :
( ~ subpopulations(first_movers,efficient_producers,sk5,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,sk2(sk5)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f177]) ).
fof(f179,plain,
( spl0_10
| spl0_10 ),
inference(avatar_split_clause,[],[f174,f177,f177]) ).
fof(f181,definition,
( spl0_11
<=> ! [X1] :
( ~ greater(sk3(X1,sk5),sk2(sk5))
| critical_point(sk5) = X1
| ~ in_environment(sk5,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f182,plain,
( ! [X1] :
( ~ in_environment(sk5,X1)
| critical_point(sk5) = X1
| ~ greater(sk3(X1,sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f188,plain,
( ! [X0] :
( greater(growth_rate(efficient_producers,sk3(X0,sk5)),growth_rate(first_movers,sk3(X0,sk5)))
| ~ greater(sk3(X0,sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk5,X0)
| ~ environment(sk5)
| critical_point(sk5) = X0 )
| ~ spl0_10 ),
inference(resolution,[],[f178,f11]) ).
fof(f189,plain,
( ! [X0] :
( ~ greater(sk3(X0,sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk5,X0)
| ~ environment(sk5)
| critical_point(sk5) = X0 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f188,f15]) ).
fof(f192,plain,
( ! [X0] :
( ~ greater(sk3(X0,sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk5,X0)
| critical_point(sk5) = X0 )
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f189,f18]) ).
fof(f194,plain,
( spl0_11
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f192,f177,f181]) ).
fof(f200,plain,
( critical_point(sk5) = sk2(sk5)
| ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f182,f29]) ).
fof(f201,plain,
( ~ greater(sk3(sk2(sk5),sk5),sk2(sk5))
| greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_1
| spl0_4
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f200,f63]) ).
fof(f203,plain,
( greater(growth_rate(efficient_producers,sk2(sk5)),growth_rate(first_movers,sk2(sk5)))
| ~ spl0_1
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f201,f68]) ).
fof(f209,plain,
( $false
| ~ spl0_1
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f203,f52]) ).
fof(f210,plain,
( ~ spl0_1
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f209]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f48]) ).
cnf(s4,plain,
( ~ spl0_1
| spl0_3
| spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f69]) ).
cnf(s6,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f99]) ).
cnf(s9,plain,
~ spl0_3,
inference(sat_conversion,[],[f145]) ).
cnf(s10,plain,
( spl0_10
| spl0_10 ),
inference(sat_conversion,[],[f179]) ).
cnf(s11,plain,
spl0_10,
inference(rat,[],[s10]) ).
cnf(s13,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f194]) ).
cnf(s16,plain,
( ~ spl0_1
| spl0_3
| spl0_4
| ~ spl0_5
| ~ spl0_11 ),
inference(sat_conversion,[],[f210]) ).
cnf(s17,plain,
spl0_11,
inference(rat,[],[s13,s11]) ).
cnf(s19,plain,
( ~ spl0_1
| spl0_4
| spl0_5 ),
inference(rat,[],[s4,s9]) ).
cnf(s20,plain,
~ spl0_4,
inference(rat,[],[s6,s2]) ).
cnf(s21,plain,
~ spl0_5,
inference(rat,[],[s16,s17,s2,s9,s20]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s19,s2,s21,s20]) ).
fof(f211,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT023-2 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n019.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 17:17:04 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.46 % (3285167)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (3285176)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2324278957:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (3285173)% WARNING: option uhcvi not known.
% 0.12/0.46 % (3285176) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3285167-3285176"...
% 0.12/0.46 % (3285176)...printing done.
% 0.12/0.46 % (3285176)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/0.46 % (3285176)------------------------------
% 0.28/0.46 % (3285176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (3285176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (3285176)CaDiCaL version: 2.1.3
% 0.28/0.46 % (3285176)Termination reason: Refutation
% 0.28/0.46 % (3285176)Time elapsed: 0.004 s
% 0.28/0.46 % (3285176)Peak memory usage: 12 MB
% 0.28/0.46 % (3285176)Instructions burned: 9 (million)
% 0.28/0.46 % (3285167)Success in time 0.029 s
% 0.28/0.46 % Vampire exiting
%------------------------------------------------------------------------------