%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT030-1 : 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 : n016.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 12:02:35 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 26
% Syntax : Number of formulae : 109 ( 11 unt; 10 def)
% Number of atoms : 306 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 363 ( 166 ~; 187 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 11 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_2) ).
fof(f3,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_3) ).
fof(f4,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,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/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_4) ).
fof(f5,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1)
| ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_5) ).
fof(f6,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| greater_or_equal(sk1(X1,X0),X1)
| ~ 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/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_6) ).
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/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_7) ).
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/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_8) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,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/sandbox/benchmark/theBenchmark.p',mp_earliest_time_growth_rate_exceeds_9) ).
fof(f10,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_10) ).
fof(f11,axiom,
! [X0,X1] :
( ~ stable(X0)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,sk3(X0))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l1_11) ).
fof(f12,negated_conjecture,
environment(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_12) ).
fof(f13,negated_conjecture,
stable(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_13) ).
fof(f14,negated_conjecture,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| subpopulations(first_movers,efficient_producers,sk4,sk5(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_14) ).
fof(f15,negated_conjecture,
! [X0] :
( ~ in_environment(sk4,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| greater(sk5(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_15) ).
fof(f16,negated_conjecture,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0)))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))
| ~ in_environment(sk4,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l12_16) ).
fof(f17,plain,
( ~ environment(sk4)
| in_environment(sk4,sk3(sk4)) ),
inference(resolution,[],[f10,f13]) ).
fof(f18,plain,
in_environment(sk4,sk3(sk4)),
inference(forward_subsumption_resolution,[],[f17,f12]) ).
fof(f35,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0)
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[],[f2,f12]) ).
fof(f37,definition,
( spl0_4
<=> in_environment(sk4,sk2(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f38,plain,
( ~ in_environment(sk4,sk2(sk4))
| spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f39,plain,
( in_environment(sk4,sk2(sk4))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl0_5
<=> ! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f42,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f43,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f44,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ spl0_4 ),
inference(resolution,[],[f39,f14]) ).
fof(f45,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| greater(sk5(sk2(sk4)),sk2(sk4))
| ~ spl0_4 ),
inference(resolution,[],[f39,f15]) ).
fof(f47,definition,
( spl0_6
<=> greater(sk5(sk2(sk4)),sk2(sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f49,plain,
( greater(sk5(sk2(sk4)),sk2(sk4))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f51,definition,
( spl0_7
<=> greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f52,plain,
( ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| spl0_7 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f53,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,plain,
( spl0_6
| spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f45,f37,f51,f47]) ).
fof(f56,definition,
( spl0_8
<=> subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f58,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( spl0_8
| spl0_7
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f44,f37,f51,f56]) ).
fof(f60,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[],[f1,f12]) ).
fof(f61,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f60,f38]) ).
fof(f62,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0)
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f5,f12]) ).
fof(f63,plain,
( greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))
| ~ spl0_5 ),
inference(resolution,[],[f42,f18]) ).
fof(f64,plain,
! [X0] :
( ~ environment(sk4)
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| ~ greater_or_equal(X0,sk3(sk4))
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(resolution,[],[f11,f13]) ).
fof(f65,plain,
! [X0] :
( ~ greater_or_equal(X0,sk3(sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X0)
| greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0)) ),
inference(forward_subsumption_resolution,[],[f64,f12]) ).
fof(f66,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| in_environment(sk4,sk2(sk4)) ),
inference(resolution,[],[f7,f12]) ).
fof(f67,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0) )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f66,f38]) ).
fof(f68,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f3,f12]) ).
fof(f69,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| spl0_4 ),
inference(resolution,[],[f61,f18]) ).
fof(f70,plain,
! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4))) ),
inference(resolution,[],[f8,f12]) ).
fof(f71,plain,
! [X0,X1] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0)
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| ~ greater(X1,sk2(sk4))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(resolution,[],[f6,f12]) ).
fof(f72,plain,
! [X0,X1] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| ~ greater(X1,sk2(sk4))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(resolution,[],[f4,f12]) ).
fof(f73,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ spl0_5 ),
inference(resolution,[],[f65,f63]) ).
fof(f74,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f73,f69]) ).
fof(f75,plain,
! [X0,X1] :
( ~ in_environment(sk4,X0)
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| ~ greater(X1,sk2(sk4))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
inference(resolution,[],[f9,f12]) ).
fof(f76,plain,
( ~ in_environment(sk4,sk3(sk4))
| spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f74,f67]) ).
fof(f77,plain,
( $false
| spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f76,f18]) ).
fof(f78,plain,
( spl0_4
| ~ spl0_5 ),
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f79,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f68,f53]) ).
fof(f80,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4))) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f70,f53]) ).
fof(f82,definition,
( spl0_9
<=> ! [X1] :
( ~ subpopulations(first_movers,efficient_producers,sk4,X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(X1,sk2(sk4)) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f83,plain,
( ! [X1] :
( ~ greater(X1,sk2(sk4))
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ subpopulations(first_movers,efficient_producers,sk4,X1) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f85,definition,
( spl0_10
<=> ! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) ) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f86,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| subpopulations(first_movers,efficient_producers,sk4,sk1(X0,sk4)) )
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f72,f85,f82]) ).
fof(f89,definition,
( spl0_11
<=> greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4))) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f91,plain,
( greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl0_12
<=> subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f95,plain,
( ~ subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| spl0_12 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f96,plain,
( spl0_11
| ~ spl0_12
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f73,f41,f93,f89]) ).
fof(f98,definition,
( spl0_13
<=> ! [X0] :
( ~ in_environment(sk4,X0)
| ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4))) ) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f99,plain,
( ! [X0] :
( ~ greater(growth_rate(efficient_producers,sk1(X0,sk4)),growth_rate(first_movers,sk1(X0,sk4)))
| ~ in_environment(sk4,X0) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f75,f98,f82]) ).
fof(f101,plain,
( spl0_10
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f79,f51,f85]) ).
fof(f102,plain,
( spl0_13
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f80,f51,f98]) ).
fof(f106,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[],[f83,f49]) ).
fof(f107,plain,
( greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f106,f58]) ).
fof(f108,plain,
( greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))
| ~ in_environment(sk4,sk2(sk4))
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(resolution,[],[f107,f16]) ).
fof(f109,plain,
( ~ in_environment(sk4,sk2(sk4))
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f108,f52]) ).
fof(f110,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f109,f39]) ).
fof(f111,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f110]) ).
fof(f112,plain,
( subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))
| ~ spl0_10 ),
inference(resolution,[],[f86,f18]) ).
fof(f114,plain,
( $false
| ~ spl0_10
| spl0_12 ),
inference(forward_subsumption_resolution,[],[f112,f95]) ).
fof(f115,plain,
( ~ spl0_10
| spl0_12 ),
inference(avatar_contradiction_clause,[],[f114]) ).
fof(f116,plain,
( ~ in_environment(sk4,sk3(sk4))
| ~ spl0_11
| ~ spl0_13 ),
inference(resolution,[],[f91,f99]) ).
fof(f117,plain,
( $false
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f116,f18]) ).
fof(f118,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f119,plain,
( ! [X0] :
( ~ in_environment(sk4,X0)
| greater_or_equal(sk1(X0,sk4),X0) )
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f62,f53]) ).
fof(f120,plain,
( spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f119,f51,f41]) ).
fof(f121,plain,
( spl0_9
| spl0_5 ),
inference(avatar_split_clause,[],[f71,f41,f82]) ).
cnf(s3,plain,
( spl0_4
| spl0_5 ),
inference(sat_conversion,[],[f43]) ).
cnf(s4,plain,
( ~ spl0_4
| spl0_6
| spl0_7 ),
inference(sat_conversion,[],[f54]) ).
cnf(s5,plain,
( ~ spl0_4
| spl0_7
| spl0_8 ),
inference(sat_conversion,[],[f59]) ).
cnf(s6,plain,
( spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f78]) ).
cnf(s7,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f87]) ).
cnf(s8,plain,
( ~ spl0_5
| spl0_11
| ~ spl0_12 ),
inference(sat_conversion,[],[f96]) ).
cnf(s9,plain,
( spl0_9
| spl0_13 ),
inference(sat_conversion,[],[f100]) ).
cnf(s10,plain,
( ~ spl0_7
| spl0_10 ),
inference(sat_conversion,[],[f101]) ).
cnf(s11,plain,
( ~ spl0_7
| spl0_13 ),
inference(sat_conversion,[],[f102]) ).
cnf(s12,plain,
( ~ spl0_4
| ~ spl0_6
| spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(sat_conversion,[],[f111]) ).
cnf(s13,plain,
( ~ spl0_10
| spl0_12 ),
inference(sat_conversion,[],[f115]) ).
cnf(s14,plain,
( ~ spl0_11
| ~ spl0_13 ),
inference(sat_conversion,[],[f118]) ).
cnf(s15,plain,
( spl0_5
| ~ spl0_7 ),
inference(sat_conversion,[],[f120]) ).
cnf(s16,plain,
( spl0_5
| spl0_9 ),
inference(sat_conversion,[],[f121]) ).
cnf(s17,plain,
spl0_4,
inference(rat,[],[s3,s6]) ).
cnf(s18,plain,
spl0_5,
inference(rat,[],[s12,s4,s5,s15,s16,s17]) ).
cnf(s19,plain,
spl0_9,
inference(rat,[],[s8,s13,s14,s7,s9,s18]) ).
cnf(s21,plain,
~ spl0_7,
inference(rat,[],[s8,s13,s14,s10,s11,s18]) ).
cnf(s22,plain,
spl0_8,
inference(rat,[],[s5,s17,s21]) ).
cnf(s23,plain,
spl0_6,
inference(rat,[],[s4,s17,s21]) ).
cnf(s24,plain,
$false,
inference(rat,[],[s12,s19,s23,s17,s21,s22]) ).
fof(f122,plain,
$false,
inference(avatar_sat_refutation,[],[s24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT030-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 17:26:17 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.40 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
% 0.13/0.44 % (2870434)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (2870439)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3692086675_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.44 % TRYING [1]
% 0.13/0.44 % TRYING [2]
% 0.13/0.44 % (2870440)% WARNING: option uhcvi not known.
% 0.13/0.44 % (2870441)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3825627762:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.44 % (2870445)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3413576500:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.44 % (2870442)dis+10_1_sil=32000:sp=arity:random_seed=2794765554:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.44 % (2870444)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1666766794:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.44 % (2870443)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=770944447:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.44 % (2870440)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2295635694:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.44 % (2870444) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870434-2870444"...
% 0.13/0.44 % (2870443) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2870434-2870443"...
% 0.13/0.44 % (2870444)...printing done.
% 0.13/0.44 % (2870444)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (2870444)------------------------------
% 0.13/0.44 % (2870444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (2870444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (2870444)CaDiCaL version: 2.1.3
% 0.13/0.44 % (2870444)Termination reason: Refutation
% 0.13/0.44 % (2870444)Time elapsed: 0.004 s
% 0.13/0.44 % (2870444)Peak memory usage: 12 MB
% 0.13/0.44 % (2870444)Instructions burned: 4 (million)
% 0.13/0.44 % (2870434)Success in time 0.037 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------