%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT027-1 : TPTP v9.3.1. Released v2.4.0.
% 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 : Unsatisfiable 2.58s 1.28s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 19
% Syntax : Number of formulae : 92 ( 11 unt; 3 def)
% Number of atoms : 390 ( 19 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 569 ( 271 ~; 295 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 91 ( 0 sgn 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_24) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(sk1(X1,X0),X1)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_25) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_26) ).
fof(f4,axiom,
! [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_27) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ greater(X2,X1)
| ~ stable(X0)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| in_environment(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_long_stable_environments_28) ).
fof(f6,axiom,
! [X0] :
( in_environment(X0,appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_EP_in_stable_environments_29) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
fof(f10,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
fof(f11,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_34) ).
fof(f12,axiom,
! [X0] :
( greater(sk2(X0),appear(efficient_producers,X0))
| ~ stable(X0)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_35) ).
fof(f13,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(X1,sk2(X0))
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_36) ).
fof(f14,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_37) ).
fof(f15,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_38) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ greater(X0,appear(efficient_producers,sk3))
| ~ contracts_from(X0,first_movers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_39) ).
fof(f17,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f10]) ).
fof(f19,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| ~ contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[],[f12,f16]) ).
fof(f20,plain,
! [X0,X1] :
( greater(X1,appear(efficient_producers,X0))
| ~ environment(X0)
| ~ greater(X1,sk2(X0))
| ~ stable(X0) ),
inference(resolution,[],[f12,f7]) ).
fof(f21,plain,
! [X0] :
( greater_or_equal(sk2(X0),appear(efficient_producers,X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[],[f12,f9]) ).
fof(f22,plain,
( ~ environment(sk3)
| ~ contracts_from(sk2(sk3),first_movers) ),
inference(forward_subsumption_resolution,[],[f19,f15]) ).
fof(f23,plain,
~ contracts_from(sk2(sk3),first_movers),
inference(forward_subsumption_resolution,[],[f22,f14]) ).
fof(f24,plain,
! [X0,X1] :
( ~ in_environment(X0,appear(efficient_producers,X1))
| ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk2(X1))
| ~ stable(X1)
| ~ environment(X1) ),
inference(resolution,[],[f5,f12]) ).
fof(f26,plain,
! [X0] :
( ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X0,sk2(X0))
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,sk2(X0)),zero) ),
inference(resolution,[],[f21,f11]) ).
fof(f28,plain,
! [X0] :
( ~ in_environment(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,sk2(X0)),zero) ),
inference(duplicate_literal_removal,[],[f26]) ).
fof(f29,plain,
! [X0,X1] :
( greater(sk1(X1,X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| contracts_from(X1,first_movers)
| ~ stable(X0)
| sk1(X1,X0) = X1 ),
inference(resolution,[],[f2,f8]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ in_environment(X2,appear(efficient_producers,X0))
| ~ greater(X1,sk2(X0))
| ~ stable(X0)
| ~ stable(X2)
| ~ environment(X0)
| ~ environment(X2)
| in_environment(X2,X1) ),
inference(resolution,[],[f20,f5]) ).
fof(f34,plain,
! [X0,X1] :
( greater_or_equal(X1,appear(efficient_producers,X0))
| ~ greater(X1,sk2(X0))
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f20,f9]) ).
fof(f40,plain,
! [X0,X1] :
( ~ greater(X0,sk2(X1))
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| ~ environment(X1)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(resolution,[],[f34,f11]) ).
fof(f42,plain,
! [X0,X1] :
( ~ greater(X0,sk2(X1))
| ~ stable(X1)
| ~ environment(X1)
| ~ in_environment(X1,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(duplicate_literal_removal,[],[f40]) ).
fof(f49,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk2(X0))
| ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ environment(X0) ),
inference(resolution,[],[f24,f6]) ).
fof(f50,plain,
! [X0] :
( in_environment(X0,sk2(X0))
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f49]) ).
fof(f68,plain,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,sk2(X0)),zero)
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[],[f28,f50]) ).
fof(f69,plain,
! [X0] :
( greater(cardinality_at_time(efficient_producers,sk2(X0)),zero)
| ~ environment(X0)
| ~ stable(X0) ),
inference(duplicate_literal_removal,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(first_movers,sk2(X0)),zero)
| ~ stable(X0)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X0)
| ~ environment(X1)
| subpopulations(first_movers,efficient_producers,X1,sk2(X0)) ),
inference(resolution,[],[f69,f4]) ).
fof(f76,plain,
! [X0,X1] :
( ~ greater(X0,sk2(X1))
| ~ stable(X1)
| ~ stable(X1)
| ~ environment(X1)
| ~ environment(X1)
| in_environment(X1,X0)
| ~ stable(X1)
| ~ environment(X1) ),
inference(resolution,[],[f32,f6]) ).
fof(f77,plain,
! [X0,X1] :
( ~ greater(X0,sk2(X1))
| ~ stable(X1)
| ~ environment(X1)
| in_environment(X1,X0) ),
inference(duplicate_literal_removal,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( in_environment(X0,sk1(sk2(X0),X1))
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1) ),
inference(resolution,[],[f77,f29]) ).
fof(f88,plain,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,sk1(sk2(X0),X1))
| greater(cardinality_at_time(efficient_producers,sk1(sk2(X0),X1)),zero)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1) ),
inference(resolution,[],[f42,f29]) ).
fof(f89,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,sk1(sk2(X0),X1)),zero)
| ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1) ),
inference(forward_subsumption_resolution,[],[f88,f78]) ).
fof(f96,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ stable(X0)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1)
| ~ in_environment(X2,sk1(sk2(X0),X1))
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(X0),X1)),zero)
| ~ environment(X2)
| subpopulations(first_movers,efficient_producers,X2,sk1(sk2(X0),X1)) ),
inference(resolution,[],[f89,f4]) ).
fof(f100,plain,
! [X2,X0,X1] :
( subpopulations(first_movers,efficient_producers,X2,sk1(sk2(X0),X1))
| ~ stable(X0)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1)
| ~ in_environment(X2,sk1(sk2(X0),X1))
| ~ environment(X2)
| ~ environment(X0) ),
inference(forward_subsumption_resolution,[],[f96,f1]) ).
fof(f134,plain,
! [X2,X0,X1] :
( ~ stable(X0)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1)
| ~ in_environment(X2,sk1(sk2(X0),X1))
| ~ environment(X2)
| ~ environment(X0)
| ~ stable(X2)
| ~ environment(X2)
| ~ greater_or_equal(sk1(sk2(X0),X1),sk2(X2))
| greater(zero,growth_rate(first_movers,sk1(sk2(X0),X1))) ),
inference(resolution,[],[f100,f13]) ).
fof(f135,plain,
! [X2,X0,X1] :
( ~ stable(X0)
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1)
| ~ in_environment(X2,sk1(sk2(X0),X1))
| ~ environment(X2)
| ~ environment(X0)
| ~ stable(X2)
| ~ greater_or_equal(sk1(sk2(X0),X1),sk2(X2))
| greater(zero,growth_rate(first_movers,sk1(sk2(X0),X1))) ),
inference(duplicate_literal_removal,[],[f134]) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(sk1(sk2(X0),X1),sk2(X2))
| ~ in_environment(X1,sk2(X0))
| ~ environment(X1)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X1)
| sk2(X0) = sk1(sk2(X0),X1)
| ~ in_environment(X2,sk1(sk2(X0),X1))
| ~ environment(X2)
| ~ environment(X0)
| ~ stable(X2)
| ~ stable(X0) ),
inference(forward_subsumption_resolution,[],[f135,f3]) ).
fof(f144,plain,
! [X0,X1] :
( ~ in_environment(X0,sk2(X1))
| ~ environment(X0)
| contracts_from(sk2(X1),first_movers)
| ~ stable(X0)
| sk2(X1) = sk1(sk2(X1),X0)
| ~ in_environment(X1,sk1(sk2(X1),X0))
| ~ environment(X1)
| ~ environment(X1)
| ~ stable(X1)
| ~ stable(X1)
| ~ stable(X0)
| ~ in_environment(X0,sk2(X1))
| ~ environment(X0)
| contracts_from(sk2(X1),first_movers) ),
inference(resolution,[],[f136,f2]) ).
fof(f145,plain,
! [X0,X1] :
( ~ in_environment(X0,sk2(X1))
| ~ environment(X0)
| contracts_from(sk2(X1),first_movers)
| ~ stable(X0)
| sk2(X1) = sk1(sk2(X1),X0)
| ~ in_environment(X1,sk1(sk2(X1),X0))
| ~ environment(X1)
| ~ stable(X1) ),
inference(duplicate_literal_removal,[],[f144]) ).
fof(f146,plain,
! [X0,X1] :
( ~ in_environment(X0,sk2(X1))
| ~ environment(X0)
| contracts_from(sk2(X1),first_movers)
| ~ stable(X0)
| sk2(X1) = sk1(sk2(X1),X0)
| ~ environment(X1)
| ~ stable(X1) ),
inference(forward_subsumption_resolution,[],[f145,f78]) ).
fof(f149,plain,
! [X0] :
( ~ environment(X0)
| contracts_from(sk2(X0),first_movers)
| ~ stable(X0)
| sk2(X0) = sk1(sk2(X0),X0)
| ~ environment(X0)
| ~ stable(X0)
| ~ environment(X0)
| ~ stable(X0) ),
inference(resolution,[],[f146,f50]) ).
fof(f150,plain,
! [X0] :
( contracts_from(sk2(X0),first_movers)
| ~ environment(X0)
| ~ stable(X0)
| sk2(X0) = sk1(sk2(X0),X0) ),
inference(duplicate_literal_removal,[],[f149]) ).
fof(f153,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[],[f150,f23]) ).
fof(f154,plain,
( ~ stable(sk3)
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(forward_subsumption_resolution,[],[f153,f14]) ).
fof(f155,plain,
sk2(sk3) = sk1(sk2(sk3),sk3),
inference(forward_subsumption_resolution,[],[f154,f15]) ).
fof(f156,plain,
( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ stable(sk3)
| ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(superposition,[],[f1,f155]) ).
fof(f158,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ stable(sk3)
| ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(superposition,[],[f3,f155]) ).
fof(f173,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(forward_subsumption_resolution,[],[f158,f15]) ).
fof(f174,plain,
( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3))
| ~ environment(sk3)
| contracts_from(sk2(sk3),first_movers) ),
inference(forward_subsumption_resolution,[],[f156,f15]) ).
fof(f182,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(forward_subsumption_resolution,[],[f173,f14]) ).
fof(f183,plain,
( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(forward_subsumption_resolution,[],[f174,f14]) ).
fof(f191,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3)) ),
inference(forward_subsumption_resolution,[],[f182,f23]) ).
fof(f192,plain,
( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3)) ),
inference(forward_subsumption_resolution,[],[f183,f23]) ).
fof(f198,definition,
( spl0_5
<=> in_environment(sk3,sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f200,plain,
( ~ in_environment(sk3,sk2(sk3))
| spl0_5 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f221,definition,
( spl0_10
<=> greater(zero,growth_rate(first_movers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f223,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| spl0_10 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f224,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f191,f221,f198]) ).
fof(f226,definition,
( spl0_11
<=> greater(cardinality_at_time(first_movers,sk2(sk3)),zero) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f228,plain,
( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f229,plain,
( ~ spl0_5
| spl0_11 ),
inference(avatar_split_clause,[],[f192,f226,f198]) ).
fof(f230,plain,
( ~ environment(sk3)
| ~ stable(sk3)
| spl0_5 ),
inference(resolution,[],[f200,f50]) ).
fof(f231,plain,
( ~ stable(sk3)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f230,f14]) ).
fof(f232,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f231,f15]) ).
fof(f233,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f272,plain,
( ! [X0] :
( ~ stable(sk3)
| ~ in_environment(X0,sk2(sk3))
| ~ environment(sk3)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk2(sk3)) )
| ~ spl0_11 ),
inference(resolution,[],[f228,f70]) ).
fof(f276,plain,
( ! [X0] :
( ~ in_environment(X0,sk2(sk3))
| ~ environment(sk3)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk2(sk3)) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f272,f15]) ).
fof(f277,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,X0,sk2(sk3))
| ~ environment(X0)
| ~ in_environment(X0,sk2(sk3)) )
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f276,f14]) ).
fof(f289,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sk2(sk3))
| ~ stable(X0)
| ~ environment(X0)
| ~ greater_or_equal(sk2(sk3),sk2(X0))
| greater(zero,growth_rate(first_movers,sk2(sk3))) )
| ~ spl0_11 ),
inference(resolution,[],[f277,f13]) ).
fof(f290,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,sk2(sk3))
| ~ stable(X0)
| ~ greater_or_equal(sk2(sk3),sk2(X0))
| greater(zero,growth_rate(first_movers,sk2(sk3))) )
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f289]) ).
fof(f291,plain,
( ! [X0] :
( ~ greater_or_equal(sk2(sk3),sk2(X0))
| ~ in_environment(X0,sk2(sk3))
| ~ stable(X0)
| ~ environment(X0) )
| spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f290,f223]) ).
fof(f296,plain,
( ~ in_environment(sk3,sk2(sk3))
| ~ stable(sk3)
| ~ environment(sk3)
| spl0_10
| ~ spl0_11 ),
inference(resolution,[],[f291,f17]) ).
fof(f297,plain,
( ~ stable(sk3)
| ~ environment(sk3)
| spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f296,f50]) ).
fof(f298,plain,
( ~ environment(sk3)
| spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f297,f15]) ).
fof(f299,plain,
( $false
| spl0_10
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f298,f14]) ).
fof(f300,plain,
( spl0_10
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f299]) ).
cnf(s7,plain,
( ~ spl0_5
| ~ spl0_10 ),
inference(sat_conversion,[],[f224]) ).
cnf(s8,plain,
( ~ spl0_5
| spl0_11 ),
inference(sat_conversion,[],[f229]) ).
cnf(s9,plain,
spl0_5,
inference(sat_conversion,[],[f233]) ).
cnf(s10,plain,
( spl0_10
| ~ spl0_11 ),
inference(sat_conversion,[],[f300]) ).
cnf(s11,plain,
spl0_11,
inference(rat,[],[s8,s9]) ).
cnf(s12,plain,
spl0_10,
inference(rat,[],[s10,s11]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s7,s12,s9]) ).
fof(f301,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:21:46 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.58/1.28 % (1879364)Input is clausal, will run a generic CNF schedule.
% 2.58/1.28 % (1879369)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=3488150711:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.58/1.28 % (1879370)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2351402974:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.58/1.28 % (1879372)lrs+10_1_sil=8000:sp=occurrence:random_seed=425688186:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.58/1.28 % (1879371)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1332158876:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.58/1.28 % (1879375)dis-21_1_sil=8000:lcm=predicate:random_seed=69617778:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.58/1.28 % (1879373)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1365278305:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.58/1.28 % (1879374)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4043976439:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.58/1.28 % (1879372)First to succeed.
% 2.58/1.28 % (1879372)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1879364"
% 2.58/1.28 % (1879374)Also succeeded, but the first one will report.
% 2.58/1.28 % (1879373)Instruction limit reached!
% 2.58/1.28 % (1879373)------------------------------
% 2.58/1.28 % (1879373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.28 % (1879373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.28 % (1879373)CaDiCaL version: 2.1.3
% 2.58/1.28 % (1879373)Termination reason: Instruction limit
% 2.58/1.28 % (1879373)Termination phase: Saturation
% 2.58/1.28 % (1879373)Time elapsed: 0.047 s
% 2.58/1.28 % (1879373)Peak memory usage: 87 MB
% 2.58/1.28 % (1879373)Instructions burned: 115 (million)
% 2.58/1.28 % (1879375)Instruction limit reached!
% 2.58/1.28 % (1879375)------------------------------
% 2.58/1.28 % (1879375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.28 % (1879375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.28 % (1879375)CaDiCaL version: 2.1.3
% 2.58/1.28 % (1879375)Termination reason: Instruction limit
% 2.58/1.28 % (1879375)Termination phase: Saturation
% 2.58/1.28 % (1879375)Time elapsed: 0.050 s
% 2.58/1.28 % (1879375)Peak memory usage: 88 MB
% 2.58/1.28 % (1879375)Instructions burned: 117 (million)
% 2.58/1.28 % (1879383)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3101737357:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.58/1.28 % (1879384)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1960330723:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 2.58/1.28 % (1879384)Refutation not found, incomplete strategy
% 2.58/1.28 % (1879384)------------------------------
% 2.58/1.28 % (1879384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.28 % (1879384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.28 % (1879384)CaDiCaL version: 2.1.3
% 2.58/1.28 % (1879384)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.28 % (1879384)Time elapsed: 0.003 s
% 2.58/1.28 % (1879384)Peak memory usage: 88 MB
% 2.58/1.28 % (1879384)Instructions burned: 3 (million)
% 2.58/1.28 % (1879383)Instruction limit reached!
% 2.58/1.28 % (1879383)------------------------------
% 2.58/1.28 % (1879383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.28 % (1879383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.28 % (1879383)CaDiCaL version: 2.1.3
% 2.58/1.28 % (1879383)Termination reason: Instruction limit
% 2.58/1.28 % (1879383)Termination phase: Saturation
% 2.58/1.28 % (1879383)Time elapsed: 0.070 s
% 2.58/1.28 % (1879383)Peak memory usage: 88 MB
% 2.58/1.28 % (1879383)Instructions burned: 144 (million)
% 2.58/1.28 % (1879372)Refutation found. Thanks to Tanya!
% 2.58/1.28 % SZS status Unsatisfiable for theBenchmark
% 2.58/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.47 % (1879372)------------------------------
% 3.57/1.47 % (1879372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.47 % (1879372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.47 % (1879372)CaDiCaL version: 2.1.3
% 3.57/1.47 % (1879372)Termination reason: Refutation
% 3.57/1.47 % (1879372)Time elapsed: 0.020 s
% 3.57/1.47 % (1879372)Peak memory usage: 90 MB
% 3.57/1.47 % (1879372)Instructions burned: 28 (million)
% 3.57/1.47 % (1879372)------------------------------
% 3.57/1.47 % (1879372)------------------------------
% 3.57/1.47 % (1879364)Success in time 0.425 s
% 3.57/1.47 % Vampire exiting
%------------------------------------------------------------------------------