%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT024-1 : 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 : n004.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 12:02:33 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 23
% Syntax : Number of formulae : 118 ( 15 unt; 6 def)
% Number of atoms : 358 ( 39 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 368 ( 128 ~; 234 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 38 ( 0 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occur_24) ).
fof(f2,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(number_of_organizations(X0,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_number_of_organizations_25) ).
fof(f3,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ greater(equilibrium(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_equilibrium_26) ).
fof(f5,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ greater(number_of_organizations(X0,X1),zero)
| greater(equilibrium(X0),X1)
| constant(resources(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a3_28) ).
fof(f7,axiom,
! [X0,X1] :
( ~ constant(resources(X0,X1))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| constant(number_of_organizations(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a6_30) ).
fof(f8,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_31) ).
fof(f9,plain,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(reorient_equations,[],[f8]) ).
fof(f10,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| growth_rate(first_movers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_32) ).
fof(f11,plain,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_33) ).
fof(f13,plain,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(reorient_equations,[],[f12]) ).
fof(f14,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| growth_rate(first_movers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_34) ).
fof(f15,plain,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| zero = growth_rate(first_movers,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(zero,growth_rate(first_movers,X1)) ),
inference(reorient_equations,[],[f14]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| growth_rate(efficient_producers,X1) = zero
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_36) ).
fof(f19,plain,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| greater(growth_rate(first_movers,X1),zero)
| greater(zero,growth_rate(first_movers,X1)) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ constant(number_of_organizations(X0,X1))
| growth_rate(efficient_producers,X1) = zero
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l7_37) ).
fof(f21,plain,
! [X0,X1] :
( ~ constant(number_of_organizations(X0,X1))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| zero = growth_rate(efficient_producers,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| greater(growth_rate(efficient_producers,X1),zero) ),
inference(reorient_equations,[],[f20]) ).
fof(f24,negated_conjecture,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l6_39) ).
fof(f25,negated_conjecture,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l6_40) ).
fof(f26,negated_conjecture,
greater_or_equal(sk2,equilibrium(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l6_41) ).
fof(f27,negated_conjecture,
( growth_rate(first_movers,sk2) != zero
| growth_rate(efficient_producers,sk2) != zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l6_42) ).
fof(f28,plain,
( zero != growth_rate(first_movers,sk2)
| zero != growth_rate(efficient_producers,sk2) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( ~ greater(growth_rate(first_movers,sk2),zero)
| ~ greater(zero,growth_rate(efficient_producers,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l6_43) ).
fof(f30,negated_conjecture,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| ~ greater(zero,growth_rate(first_movers,sk2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l6_44) ).
fof(f32,definition,
( spl0_1
<=> greater(zero,growth_rate(first_movers,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f33,plain,
( greater(zero,growth_rate(first_movers,sk2))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f34,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f36,definition,
( spl0_2
<=> greater(growth_rate(efficient_producers,sk2),zero) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f38,plain,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f39,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f30,f36,f32]) ).
fof(f41,definition,
( spl0_3
<=> greater(zero,growth_rate(efficient_producers,sk2)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f43,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl0_4
<=> greater(growth_rate(first_movers,sk2),zero) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f47,plain,
( ~ greater(growth_rate(first_movers,sk2),zero)
| spl0_4 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f29,f45,f41]) ).
fof(f50,definition,
( spl0_5
<=> zero = growth_rate(efficient_producers,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f52,plain,
( zero != growth_rate(efficient_producers,sk2)
| spl0_5 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl0_6
<=> zero = growth_rate(first_movers,sk2) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f55,plain,
( zero = growth_rate(first_movers,sk2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f56,plain,
( zero != growth_rate(first_movers,sk2)
| spl0_6 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f28,f54,f50]) ).
fof(f58,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| in_environment(sk1,X0) ),
inference(resolution,[],[f1,f24]) ).
fof(f59,plain,
! [X0] :
( ~ greater_or_equal(X0,equilibrium(sk1))
| ~ greater(equilibrium(sk1),X0) ),
inference(resolution,[],[f3,f24]) ).
fof(f60,plain,
in_environment(sk1,sk2),
inference(resolution,[],[f58,f25]) ).
fof(f61,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater(number_of_organizations(sk1,X0),zero) ),
inference(resolution,[],[f2,f24]) ).
fof(f62,plain,
~ greater(equilibrium(sk1),sk2),
inference(resolution,[],[f59,f26]) ).
fof(f64,plain,
greater(number_of_organizations(sk1,sk2),zero),
inference(resolution,[],[f61,f25]) ).
fof(f65,plain,
! [X0] :
( ~ greater(number_of_organizations(sk1,X0),zero)
| ~ in_environment(sk1,X0)
| greater(equilibrium(sk1),X0)
| constant(resources(sk1,X0)) ),
inference(resolution,[],[f5,f24]) ).
fof(f67,plain,
( ~ in_environment(sk1,sk2)
| greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(resolution,[],[f65,f64]) ).
fof(f68,plain,
( greater(equilibrium(sk1),sk2)
| constant(resources(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f67,f60]) ).
fof(f69,plain,
constant(resources(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f68,f62]) ).
fof(f70,plain,
( ~ in_environment(sk1,sk2)
| ~ environment(sk1)
| constant(number_of_organizations(sk1,sk2)) ),
inference(resolution,[],[f69,f7]) ).
fof(f71,plain,
( ~ environment(sk1)
| constant(number_of_organizations(sk1,sk2)) ),
inference(forward_subsumption_resolution,[],[f70,f60]) ).
fof(f72,plain,
constant(number_of_organizations(sk1,sk2)),
inference(forward_subsumption_resolution,[],[f71,f24]) ).
fof(f73,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f72,f15]) ).
fof(f74,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f72,f13]) ).
fof(f75,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f72,f11]) ).
fof(f76,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f72,f9]) ).
fof(f77,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution,[],[f76,f25]) ).
fof(f78,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution,[],[f75,f25]) ).
fof(f79,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution,[],[f74,f25]) ).
fof(f80,plain,
( ~ environment(sk1)
| zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution,[],[f73,f25]) ).
fof(f81,plain,
( zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution,[],[f77,f24]) ).
fof(f82,plain,
( zero = growth_rate(first_movers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution,[],[f78,f24]) ).
fof(f83,plain,
( zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution,[],[f79,f24]) ).
fof(f84,plain,
( zero = growth_rate(first_movers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution,[],[f80,f24]) ).
fof(f85,plain,
( greater(growth_rate(first_movers,sk2),zero)
| greater(growth_rate(efficient_producers,sk2),zero)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f81,f56]) ).
fof(f86,plain,
( greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f82,f56]) ).
fof(f87,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero)
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f83,f56]) ).
fof(f88,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(zero,growth_rate(first_movers,sk2))
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f84,f56]) ).
fof(f89,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f85,f47]) ).
fof(f90,plain,
( greater(zero,growth_rate(first_movers,sk2))
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f86,f47]) ).
fof(f91,plain,
( spl0_2
| spl0_3
| spl0_6 ),
inference(avatar_split_clause,[],[f87,f54,f41,f36]) ).
fof(f92,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| spl0_1
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f88,f34]) ).
fof(f93,plain,
( spl0_2
| spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f89,f54,f45,f36]) ).
fof(f94,plain,
( $false
| spl0_1
| spl0_4
| spl0_6 ),
inference(forward_subsumption_resolution,[],[f90,f34]) ).
fof(f95,plain,
( spl0_1
| spl0_4
| spl0_6 ),
inference(avatar_contradiction_clause,[],[f94]) ).
fof(f96,plain,
( spl0_3
| spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f92,f54,f32,f41]) ).
fof(f97,plain,
( ~ greater(zero,zero)
| spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f34,f55]) ).
fof(f105,plain,
( greater(zero,zero)
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f33,f55]) ).
fof(f107,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(resolution,[],[f19,f72]) ).
fof(f108,plain,
( ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution,[],[f107,f25]) ).
fof(f109,plain,
( zero = growth_rate(efficient_producers,sk2)
| greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2)) ),
inference(forward_subsumption_resolution,[],[f108,f24]) ).
fof(f110,plain,
( greater(growth_rate(first_movers,sk2),zero)
| greater(zero,growth_rate(first_movers,sk2))
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f109,f52]) ).
fof(f111,plain,
( greater(zero,zero)
| greater(zero,growth_rate(first_movers,sk2))
| spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f110,f55]) ).
fof(f112,plain,
( ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(resolution,[],[f21,f72]) ).
fof(f113,plain,
( ~ environment(sk1)
| zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution,[],[f112,f25]) ).
fof(f114,plain,
( zero = growth_rate(efficient_producers,sk2)
| greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero) ),
inference(forward_subsumption_resolution,[],[f113,f24]) ).
fof(f115,plain,
( greater(zero,growth_rate(efficient_producers,sk2))
| greater(growth_rate(efficient_producers,sk2),zero)
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f114,f52]) ).
fof(f116,plain,
( greater(growth_rate(efficient_producers,sk2),zero)
| spl0_3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f115,f43]) ).
fof(f117,plain,
( $false
| spl0_2
| spl0_3
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f116,f38]) ).
fof(f118,plain,
( spl0_2
| spl0_3
| spl0_5 ),
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f120,plain,
( greater(zero,growth_rate(first_movers,sk2))
| spl0_1
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f111,f97]) ).
fof(f121,plain,
( greater(zero,zero)
| spl0_1
| spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f120,f55]) ).
fof(f122,plain,
( $false
| spl0_1
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f121,f97]) ).
fof(f123,plain,
( spl0_1
| spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f122]) ).
fof(f125,plain,
( ~ greater(zero,zero)
| spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f47,f55]) ).
fof(f126,plain,
( $false
| ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f125,f105]) ).
fof(f127,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f126]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f48]) ).
cnf(s3,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f57]) ).
cnf(s4,plain,
( spl0_2
| spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f91]) ).
cnf(s5,plain,
( spl0_2
| spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f93]) ).
cnf(s6,plain,
( spl0_1
| spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f95]) ).
cnf(s7,plain,
( spl0_1
| spl0_3
| spl0_6 ),
inference(sat_conversion,[],[f96]) ).
cnf(s9,plain,
( spl0_2
| spl0_3
| spl0_5 ),
inference(sat_conversion,[],[f118]) ).
cnf(s11,plain,
( spl0_1
| spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f123]) ).
cnf(s12,plain,
( ~ spl0_1
| spl0_4
| ~ spl0_6 ),
inference(sat_conversion,[],[f127]) ).
cnf(s14,plain,
( ~ spl0_6
| spl0_1 ),
inference(rat,[],[s11,s3]) ).
cnf(s15,plain,
( spl0_6
| spl0_1 ),
inference(rat,[],[s2,s6,s7]) ).
cnf(s16,plain,
spl0_1,
inference(rat,[],[s15,s14]) ).
cnf(s17,plain,
~ spl0_2,
inference(rat,[],[s1,s16]) ).
cnf(s18,plain,
spl0_3,
inference(rat,[],[s3,s9,s4,s17]) ).
cnf(s19,plain,
~ spl0_4,
inference(rat,[],[s2,s18]) ).
cnf(s20,plain,
~ spl0_6,
inference(rat,[],[s12,s16,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s5,s17,s20,s19]) ).
fof(f128,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT024-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n004.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 17:20:22 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.13/0.48 % (3768443)Will run a generic schedule for satisfiability detection.
% 0.13/0.48 % (3768453)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3766528777:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.48 % (3768453) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3768443-3768453"...
% 0.13/0.48 % (3768449)% WARNING: option uhcvi not known.
% 0.13/0.48 % (3768453)...printing done.
% 0.13/0.48 % (3768453)Refutation found. Thanks to Tanya!
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3768453)------------------------------
% 0.17/0.48 % (3768453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3768453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3768453)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3768453)Termination reason: Refutation
% 0.17/0.48 % (3768453)Time elapsed: 0.002 s
% 0.17/0.48 % (3768453)Peak memory usage: 12 MB
% 0.17/0.48 % (3768453)Instructions burned: 5 (million)
% 0.17/0.48 % (3768443)Success in time 0.038 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------