%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT027-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 12:02:34 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 25
% Syntax : Number of formulae : 115 ( 20 unt; 9 def)
% Number of atoms : 284 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 318 ( 149 ~; 160 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero)
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_24) ).
fof(f2,axiom,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1)
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_25) ).
fof(f3,axiom,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| contracts_from(X1,first_movers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_contracts_from_26) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_27) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(X2,X1)
| in_environment(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_long_stable_environments_28) ).
fof(f6,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_EP_in_stable_environments_29) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
fof(f10,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
fof(f11,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/sandbox/benchmark/theBenchmark.p',t6_34) ).
fof(f12,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| greater(sk2(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_35) ).
fof(f13,axiom,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk2(X0))
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l10_36) ).
fof(f14,negated_conjecture,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_37) ).
fof(f15,negated_conjecture,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_38) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ contracts_from(X0,first_movers)
| ~ greater(X0,appear(efficient_producers,sk3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l9_39) ).
fof(f17,plain,
! [X0] : greater_or_equal(X0,X0),
inference(equality_resolution,[],[f10]) ).
fof(f18,plain,
( ~ environment(sk3)
| in_environment(sk3,appear(efficient_producers,sk3)) ),
inference(resolution,[],[f6,f15]) ).
fof(f19,plain,
in_environment(sk3,appear(efficient_producers,sk3)),
inference(forward_subsumption_resolution,[],[f18,f14]) ).
fof(f21,plain,
( ~ environment(sk3)
| greater(sk2(sk3),appear(efficient_producers,sk3)) ),
inference(resolution,[],[f12,f15]) ).
fof(f22,plain,
greater(sk2(sk3),appear(efficient_producers,sk3)),
inference(forward_subsumption_resolution,[],[f21,f14]) ).
fof(f23,plain,
! [X0,X1] :
( ~ environment(sk3)
| ~ in_environment(sk3,X0)
| ~ greater(X1,X0)
| in_environment(sk3,X1) ),
inference(resolution,[],[f5,f15]) ).
fof(f24,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ in_environment(sk3,X0)
| in_environment(sk3,X1) ),
inference(forward_subsumption_resolution,[],[f23,f14]) ).
fof(f26,plain,
greater_or_equal(sk2(sk3),appear(efficient_producers,sk3)),
inference(resolution,[],[f22,f9]) ).
fof(f27,plain,
! [X0] :
( ~ greater_or_equal(X0,appear(efficient_producers,sk3))
| ~ in_environment(sk3,X0)
| greater(cardinality_at_time(efficient_producers,X0),zero) ),
inference(resolution,[],[f11,f14]) ).
fof(f29,plain,
! [X0] :
( ~ environment(sk3)
| ~ in_environment(sk3,X0)
| greater_or_equal(sk1(X0,sk3),X0)
| contracts_from(X0,first_movers) ),
inference(resolution,[],[f2,f15]) ).
fof(f30,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater_or_equal(sk1(X0,sk3),X0)
| contracts_from(X0,first_movers) ),
inference(forward_subsumption_resolution,[],[f29,f14]) ).
fof(f31,plain,
( ~ in_environment(sk3,appear(efficient_producers,sk3))
| in_environment(sk3,sk2(sk3)) ),
inference(resolution,[],[f24,f22]) ).
fof(f32,plain,
in_environment(sk3,sk2(sk3)),
inference(forward_subsumption_resolution,[],[f31,f19]) ).
fof(f33,plain,
! [X0] :
( ~ environment(sk3)
| ~ in_environment(sk3,X0)
| greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero)
| contracts_from(X0,first_movers) ),
inference(resolution,[],[f1,f15]) ).
fof(f34,plain,
! [X0] :
( ~ in_environment(sk3,X0)
| greater(cardinality_at_time(first_movers,sk1(X0,sk3)),zero)
| contracts_from(X0,first_movers) ),
inference(forward_subsumption_resolution,[],[f33,f14]) ).
fof(f35,plain,
! [X0] :
( ~ environment(sk3)
| ~ in_environment(sk3,X0)
| ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| contracts_from(X0,first_movers) ),
inference(resolution,[],[f3,f15]) ).
fof(f36,plain,
! [X0] :
( ~ greater(zero,growth_rate(first_movers,sk1(X0,sk3)))
| ~ in_environment(sk3,X0)
| contracts_from(X0,first_movers) ),
inference(forward_subsumption_resolution,[],[f35,f14]) ).
fof(f37,plain,
! [X0] :
( ~ environment(sk3)
| ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| ~ greater_or_equal(X0,sk2(sk3))
| greater(zero,growth_rate(first_movers,X0)) ),
inference(resolution,[],[f13,f15]) ).
fof(f38,plain,
! [X0] :
( ~ greater_or_equal(X0,sk2(sk3))
| ~ subpopulations(first_movers,efficient_producers,sk3,X0)
| greater(zero,growth_rate(first_movers,X0)) ),
inference(forward_subsumption_resolution,[],[f37,f14]) ).
fof(f40,plain,
( greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[],[f30,f32]) ).
fof(f42,definition,
( spl0_1
<=> contracts_from(sk2(sk3),first_movers) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f43,plain,
( ~ contracts_from(sk2(sk3),first_movers)
| spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f44,plain,
( contracts_from(sk2(sk3),first_movers)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f46,definition,
( spl0_2
<=> greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f48,plain,
( greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f40,f46,f42]) ).
fof(f59,plain,
! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater(cardinality_at_time(first_movers,X0),zero)
| ~ in_environment(sk3,X0)
| subpopulations(first_movers,efficient_producers,sk3,X0) ),
inference(resolution,[],[f4,f14]) ).
fof(f62,plain,
( ~ in_environment(sk3,sk2(sk3))
| greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero) ),
inference(resolution,[],[f27,f26]) ).
fof(f63,plain,
greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero),
inference(forward_subsumption_resolution,[],[f62,f32]) ).
fof(f78,plain,
( greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| contracts_from(sk2(sk3),first_movers) ),
inference(resolution,[],[f34,f32]) ).
fof(f80,definition,
( spl0_7
<=> greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f82,plain,
( greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f83,plain,
( spl0_1
| spl0_7 ),
inference(avatar_split_clause,[],[f78,f80,f42]) ).
fof(f84,plain,
( ~ greater(sk2(sk3),appear(efficient_producers,sk3))
| ~ spl0_1 ),
inference(resolution,[],[f44,f16]) ).
fof(f85,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f84,f22]) ).
fof(f86,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f85]) ).
fof(f87,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
| greater(zero,growth_rate(first_movers,sk2(sk3))) ),
inference(resolution,[],[f38,f17]) ).
fof(f89,definition,
( spl0_8
<=> greater(zero,growth_rate(first_movers,sk2(sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f93,definition,
( spl0_9
<=> subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f95,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3))
| spl0_9 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f87,f93,f89]) ).
fof(f97,plain,
( ~ greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ in_environment(sk3,sk2(sk3))
| subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
inference(resolution,[],[f59,f63]) ).
fof(f98,plain,
( ~ greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)) ),
inference(forward_subsumption_resolution,[],[f97,f32]) ).
fof(f99,plain,
( ~ greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| spl0_9 ),
inference(forward_subsumption_resolution,[],[f98,f95]) ).
fof(f115,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| ~ spl0_2 ),
inference(resolution,[],[f48,f38]) ).
fof(f116,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3)
| ~ spl0_2 ),
inference(resolution,[],[f48,f8]) ).
fof(f118,definition,
( spl0_12
<=> sk2(sk3) = sk1(sk2(sk3),sk3) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f120,plain,
( sk2(sk3) = sk1(sk2(sk3),sk3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl0_13
<=> greater(sk1(sk2(sk3),sk3),sk2(sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f124,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,plain,
( spl0_12
| spl0_13
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f116,f46,f122,f118]) ).
fof(f127,definition,
( spl0_14
<=> greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f129,plain,
( greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl0_15
<=> subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f133,plain,
( ~ subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| spl0_15 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl0_14
| ~ spl0_15
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f115,f46,f131,f127]) ).
fof(f138,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| ~ in_environment(sk3,sk2(sk3))
| contracts_from(sk2(sk3),first_movers)
| ~ spl0_12 ),
inference(superposition,[],[f36,f120]) ).
fof(f139,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| contracts_from(sk2(sk3),first_movers)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f138,f32]) ).
fof(f140,plain,
( ~ greater(zero,growth_rate(first_movers,sk2(sk3)))
| spl0_1
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f139,f43]) ).
fof(f141,plain,
( ~ spl0_8
| spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f140,f118,f42,f89]) ).
fof(f145,plain,
( greater(cardinality_at_time(first_movers,sk2(sk3)),zero)
| ~ spl0_7
| ~ spl0_12 ),
inference(superposition,[],[f82,f120]) ).
fof(f146,plain,
( $false
| ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f145,f99]) ).
fof(f147,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f150,plain,
( ~ in_environment(sk3,sk2(sk3))
| in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ spl0_13 ),
inference(resolution,[],[f124,f24]) ).
fof(f151,plain,
( ! [X0] :
( ~ greater(sk2(sk3),X0)
| greater(sk1(sk2(sk3),sk3),X0) )
| ~ spl0_13 ),
inference(resolution,[],[f124,f7]) ).
fof(f153,plain,
( in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f150,f32]) ).
fof(f172,plain,
( greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))
| ~ spl0_13 ),
inference(resolution,[],[f151,f22]) ).
fof(f177,plain,
( greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))
| ~ spl0_13 ),
inference(resolution,[],[f172,f9]) ).
fof(f178,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ spl0_13 ),
inference(resolution,[],[f177,f27]) ).
fof(f180,plain,
( greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f178,f153]) ).
fof(f184,plain,
( ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| ~ spl0_13 ),
inference(resolution,[],[f180,f59]) ).
fof(f188,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f184,f82]) ).
fof(f189,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| ~ spl0_7
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f188,f153]) ).
fof(f190,plain,
( $false
| ~ spl0_7
| ~ spl0_13
| spl0_15 ),
inference(forward_subsumption_resolution,[],[f189,f133]) ).
fof(f191,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_15 ),
inference(avatar_contradiction_clause,[],[f190]) ).
fof(f192,plain,
( ~ in_environment(sk3,sk2(sk3))
| contracts_from(sk2(sk3),first_movers)
| ~ spl0_14 ),
inference(resolution,[],[f129,f36]) ).
fof(f200,plain,
( contracts_from(sk2(sk3),first_movers)
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f192,f32]) ).
fof(f201,plain,
( $false
| spl0_1
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f200,f43]) ).
fof(f202,plain,
( spl0_1
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f201]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f49]) ).
cnf(s4,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f83]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f86]) ).
cnf(s6,plain,
( spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f96]) ).
cnf(s8,plain,
( ~ spl0_2
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f125]) ).
cnf(s9,plain,
( ~ spl0_2
| spl0_14
| ~ spl0_15 ),
inference(sat_conversion,[],[f134]) ).
cnf(s10,plain,
( spl0_1
| ~ spl0_8
| ~ spl0_12 ),
inference(sat_conversion,[],[f141]) ).
cnf(s11,plain,
( ~ spl0_7
| spl0_9
| ~ spl0_12 ),
inference(sat_conversion,[],[f147]) ).
cnf(s15,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_15 ),
inference(sat_conversion,[],[f191]) ).
cnf(s16,plain,
( spl0_1
| ~ spl0_14 ),
inference(sat_conversion,[],[f202]) ).
cnf(s17,plain,
~ spl0_14,
inference(rat,[],[s16,s5]) ).
cnf(s18,plain,
spl0_7,
inference(rat,[],[s4,s5]) ).
cnf(s19,plain,
spl0_2,
inference(rat,[],[s1,s5]) ).
cnf(s20,plain,
~ spl0_15,
inference(rat,[],[s9,s17,s19]) ).
cnf(s21,plain,
~ spl0_13,
inference(rat,[],[s15,s18,s20]) ).
cnf(s22,plain,
spl0_12,
inference(rat,[],[s8,s19,s21]) ).
cnf(s23,plain,
~ spl0_8,
inference(rat,[],[s10,s5,s22]) ).
cnf(s24,plain,
spl0_9,
inference(rat,[],[s11,s18,s22]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s6,s24,s23]) ).
fof(f203,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT027-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n014.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 17:18:01 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (1037451)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (1037460)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2660682891:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (1037457)% WARNING: option uhcvi not known.
% 0.10/0.46 % (1037456)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4099696269_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (1037457)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4006750168:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (1037458)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=364006354:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (1037459)dis+10_1_sil=32000:sp=arity:random_seed=1565112053:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (1037462)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2818883077:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (1037461)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1730031801:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % TRYING [1]
% 0.10/0.46 % TRYING [2]
% 0.10/0.46 % TRYING [3]
% 0.10/0.46 % (1037461) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1037451-1037461"...
% 0.10/0.46 % (1037461)...printing done.
% 0.10/0.46 % (1037461)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (1037461)------------------------------
% 0.18/0.46 % (1037461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (1037461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (1037461)CaDiCaL version: 2.1.3
% 0.18/0.46 % (1037461)Termination reason: Refutation
% 0.18/0.46 % (1037461)Time elapsed: 0.006 s
% 0.18/0.46 % (1037461)Peak memory usage: 12 MB
% 0.18/0.46 % (1037461)Instructions burned: 6 (million)
% 0.18/0.46 % (1037451)Success in time 0.038 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------