%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT047-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:02:42 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 42
% Syntax : Number of formulae : 187 ( 36 unt; 17 def)
% Number of atoms : 434 ( 31 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 454 ( 207 ~; 230 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 18 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 118 ( 0 sgn 118 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_1) ).
fof(f2,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_2) ).
fof(f3,axiom,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_or_equal_3) ).
fof(f5,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_5) ).
fof(f7,axiom,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_smaller_7) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_strict_9) ).
fof(f10,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_transitive_10) ).
fof(f11,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',meaning_postulate_greater_comparable_11) ).
fof(f13,axiom,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_42) ).
fof(f14,axiom,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_43) ).
fof(f19,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2_48) ).
fof(f20,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2)
| greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3_49) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4_51) ).
fof(f25,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_53) ).
fof(f29,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(external_ties(X0,X1),external_ties(X0,X2))
| greater(position(X0,X1),position(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_56) ).
fof(f32,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7_58) ).
fof(f33,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(external_ties(X0,X1),external_ties(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8_59) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X1) = internal_friction(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9_60) ).
fof(f35,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_61) ).
fof(f36,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_62) ).
fof(f37,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_63) ).
fof(f38,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_64) ).
fof(f39,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_65) ).
fof(f40,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_66) ).
fof(f41,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_67) ).
fof(f42,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f44,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| ~ smaller_or_equal(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f1]) ).
fof(f45,plain,
! [X0,X1] :
( smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f47,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f48,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f50,plain,
! [X0,X1] :
( greater(X0,X1)
| greater(X1,X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ greater(X0,X2)
| greater(X1,X2)
| greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f52,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| X0 = X1
| ~ greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f53,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f54,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| greater(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f60,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0)
| ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| greater(position(X0,X2),position(X0,X1))
| ~ organization(X0) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ smaller_or_equal(internal_friction(X0,X1),internal_friction(X0,X2))
| ~ greater(capability(X0,X1),capability(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| greater(external_ties(X0,X1),external_ties(X0,X2))
| ~ greater(position(X0,X1),position(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| greater(age(X0,X1),age(X0,X2))
| ~ greater(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| greater(age(X0,X1),age(X0,X2))
| ~ greater(external_ties(X0,X1),external_ties(X0,X2)) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f69,plain,
~ greater(age(sk2,sk5),eta),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f70,plain,
~ greater(age(sk2,sk6),age(sk2,sk5)),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f71,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f73,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f74,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f77,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f81,definition,
( spl0_3
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f83,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f84,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f71,f81,f77,f73]) ).
fof(f87,plain,
greater(eta,age(sk2,sk5)),
inference(resolution,[],[f50,f69]) ).
fof(f89,plain,
! [X0,X1] :
( smaller(X1,X0)
| greater(X1,X0) ),
inference(resolution,[],[f50,f48]) ).
fof(f94,plain,
! [X0,X1] : internal_friction(sk2,X0) = internal_friction(sk2,X1),
inference(resolution,[],[f34,f35]) ).
fof(f101,plain,
! [X0] :
( greater(X0,age(sk2,sk5))
| greater(eta,X0) ),
inference(resolution,[],[f51,f87]) ).
fof(f102,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ greater(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f52,f45]) ).
fof(f115,plain,
! [X0] :
( greater(age(sk2,X0),eta)
| has_immunity(sk2,X0) ),
inference(resolution,[],[f54,f36]) ).
fof(f119,plain,
! [X0,X1] :
( has_immunity(sk2,X0)
| has_immunity(sk2,X1)
| hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,X1) ),
inference(resolution,[],[f59,f35]) ).
fof(f121,plain,
! [X0,X1] :
( greater(external_ties(sk2,X0),external_ties(sk2,X1))
| ~ greater(position(sk2,X0),position(sk2,X1)) ),
inference(resolution,[],[f66,f35]) ).
fof(f138,plain,
! [X0,X1] :
( ~ greater(stock_of_knowledge(sk2,X0),stock_of_knowledge(sk2,X1))
| greater(age(sk2,X0),age(sk2,X1)) ),
inference(resolution,[],[f67,f35]) ).
fof(f139,plain,
! [X0,X1] :
( ~ greater(external_ties(sk2,X0),external_ties(sk2,X1))
| greater(age(sk2,X0),age(sk2,X1)) ),
inference(resolution,[],[f68,f35]) ).
fof(f140,plain,
has_immunity(sk2,sk5),
inference(resolution,[],[f115,f69]) ).
fof(f141,plain,
! [X0,X1] :
( greater(age(sk2,X0),X1)
| greater(X1,eta)
| has_immunity(sk2,X0) ),
inference(resolution,[],[f115,f51]) ).
fof(f148,plain,
! [X0,X1] :
( ~ greater(capability(sk2,X0),capability(sk2,X1))
| ~ smaller_or_equal(internal_friction(sk2,X0),internal_friction(sk2,X1))
| greater(stock_of_knowledge(sk2,X0),stock_of_knowledge(sk2,X1)) ),
inference(resolution,[],[f64,f35]) ).
fof(f150,plain,
greater(eta,age(sk2,sk6)),
inference(resolution,[],[f101,f70]) ).
fof(f156,plain,
smaller(age(sk2,sk6),eta),
inference(resolution,[],[f150,f48]) ).
fof(f159,plain,
( eta = age(sk2,sk6)
| ~ greater(age(sk2,sk6),eta) ),
inference(resolution,[],[f156,f52]) ).
fof(f163,definition,
( spl0_8
<=> eta = age(sk2,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f165,plain,
( eta = age(sk2,sk6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f172,definition,
( spl0_10
<=> greater(age(sk2,sk6),eta) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f174,plain,
( ~ greater(age(sk2,sk6),eta)
| spl0_10 ),
inference(avatar_component_clause,[],[f172]) ).
fof(f175,plain,
( ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f159,f163,f172]) ).
fof(f176,plain,
( has_immunity(sk2,sk6)
| spl0_10 ),
inference(resolution,[],[f174,f115]) ).
fof(f179,plain,
( ! [X0] :
( has_immunity(sk2,X0)
| ~ organization(sk2)
| ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,X0)) )
| spl0_10 ),
inference(resolution,[],[f176,f60]) ).
fof(f181,plain,
( ! [X0] :
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,X0))
| has_immunity(sk2,X0) )
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f179,f35]) ).
fof(f188,plain,
! [X0,X1] :
( has_immunity(sk2,X1)
| hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,X1)
| ~ smaller_or_equal(age(sk2,X0),eta)
| ~ has_endowment(sk2) ),
inference(resolution,[],[f119,f53]) ).
fof(f190,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(sk2,X0),eta)
| hazard_of_mortality(sk2,X0) = hazard_of_mortality(sk2,X1)
| has_immunity(sk2,X1) ),
inference(forward_subsumption_resolution,[],[f188,f36]) ).
fof(f206,plain,
! [X0,X1] :
( ~ greater(position(sk2,X0),position(sk2,X1))
| greater(age(sk2,X0),age(sk2,X1)) ),
inference(resolution,[],[f139,f121]) ).
fof(f225,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f89,f44]) ).
fof(f280,plain,
( greater(age(sk2,sk5),eta)
| has_immunity(sk2,sk6) ),
inference(resolution,[],[f141,f70]) ).
fof(f323,plain,
! [X0] :
( has_immunity(sk2,X0)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f190,f38]) ).
fof(f472,plain,
( greater(age(sk2,sk3),age(sk2,sk4))
| age(sk2,sk3) = age(sk2,sk4) ),
inference(resolution,[],[f225,f37]) ).
fof(f480,definition,
( spl0_15
<=> age(sk2,sk3) = age(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_15])],[avatar_definition]) ).
fof(f481,plain,
( age(sk2,sk3) != age(sk2,sk4)
| spl0_15 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( age(sk2,sk3) = age(sk2,sk4)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f484,definition,
( spl0_16
<=> greater(age(sk2,sk3),age(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f486,plain,
( greater(age(sk2,sk3),age(sk2,sk4))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f487,plain,
( spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f472,f484,f480]) ).
fof(f513,definition,
( spl0_19
<=> eta = age(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f515,plain,
( eta = age(sk2,sk3)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f517,definition,
( spl0_20
<=> greater(age(sk2,sk3),eta) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f634,definition,
( spl0_21
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f635,plain,
( ~ has_immunity(sk2,sk3)
| spl0_21 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f636,plain,
( has_immunity(sk2,sk3)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f648,plain,
( smaller(age(sk2,sk4),age(sk2,sk3))
| ~ spl0_16 ),
inference(resolution,[],[f486,f48]) ).
fof(f649,plain,
( age(sk2,sk3) = age(sk2,sk4)
| ~ greater(age(sk2,sk4),age(sk2,sk3))
| ~ spl0_16 ),
inference(resolution,[],[f648,f52]) ).
fof(f653,plain,
( ~ greater(age(sk2,sk4),age(sk2,sk3))
| spl0_15
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[],[f649,f481]) ).
fof(f673,plain,
( greater(age(sk2,sk3),eta)
| has_immunity(sk2,sk4)
| spl0_15
| ~ spl0_16 ),
inference(resolution,[],[f653,f141]) ).
fof(f684,definition,
( spl0_24
<=> has_immunity(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f686,plain,
( has_immunity(sk2,sk4)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f782,plain,
( ~ smaller_or_equal(age(sk2,sk3),eta)
| ~ has_endowment(sk2)
| ~ spl0_21 ),
inference(resolution,[],[f636,f53]) ).
fof(f783,plain,
( ~ smaller_or_equal(age(sk2,sk3),eta)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f782,f36]) ).
fof(f819,plain,
( ~ smaller_or_equal(age(sk2,sk4),eta)
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_demodulation,[],[f783,f482]) ).
fof(f820,plain,
( $false
| ~ spl0_15
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f819,f38]) ).
fof(f821,plain,
( ~ spl0_15
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f820]) ).
fof(f828,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| spl0_21 ),
inference(resolution,[],[f635,f323]) ).
fof(f833,plain,
( spl0_1
| spl0_21 ),
inference(avatar_split_clause,[],[f828,f634,f73]) ).
fof(f836,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| has_immunity(sk2,sk3)
| ~ spl0_1
| spl0_10 ),
inference(superposition,[],[f181,f74]) ).
fof(f856,plain,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk4))
| ~ spl0_1
| spl0_10
| spl0_21 ),
inference(forward_subsumption_resolution,[],[f836,f635]) ).
fof(f858,plain,
( ~ spl0_2
| ~ spl0_1
| spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f856,f634,f172,f73,f77]) ).
fof(f860,plain,
has_immunity(sk2,sk6),
inference(forward_subsumption_resolution,[],[f280,f69]) ).
fof(f862,definition,
( spl0_37
<=> has_immunity(sk2,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_37])],[avatar_definition]) ).
fof(f864,plain,
( has_immunity(sk2,sk6)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f870,plain,
spl0_37,
inference(avatar_split_clause,[],[f860,f862]) ).
fof(f913,plain,
( smaller(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ spl0_3 ),
inference(resolution,[],[f83,f48]) ).
fof(f919,plain,
( ~ greater(eta,age(sk2,sk5))
| ~ spl0_8 ),
inference(superposition,[],[f70,f165]) ).
fof(f952,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f919,f87]) ).
fof(f953,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f952]) ).
fof(f959,plain,
( ~ has_immunity(sk2,sk5)
| ~ has_immunity(sk2,sk6)
| ~ greater_or_equal(capability(sk2,sk6),capability(sk2,sk5))
| greater(position(sk2,sk6),position(sk2,sk5))
| ~ organization(sk2)
| ~ spl0_3 ),
inference(resolution,[],[f913,f62]) ).
fof(f979,plain,
( ~ has_immunity(sk2,sk6)
| ~ greater_or_equal(capability(sk2,sk6),capability(sk2,sk5))
| greater(position(sk2,sk6),position(sk2,sk5))
| ~ organization(sk2)
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f959,f140]) ).
fof(f981,plain,
( ~ greater_or_equal(capability(sk2,sk6),capability(sk2,sk5))
| greater(position(sk2,sk6),position(sk2,sk5))
| ~ organization(sk2)
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f979,f864]) ).
fof(f983,plain,
( ~ greater_or_equal(capability(sk2,sk6),capability(sk2,sk5))
| greater(position(sk2,sk6),position(sk2,sk5))
| ~ spl0_3
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[],[f981,f35]) ).
fof(f989,definition,
( spl0_47
<=> greater(capability(sk2,sk6),capability(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f991,plain,
( greater(capability(sk2,sk6),capability(sk2,sk5))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f994,definition,
( spl0_48
<=> greater(position(sk2,sk6),position(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_48])],[avatar_definition]) ).
fof(f996,plain,
( greater(position(sk2,sk6),position(sk2,sk5))
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f998,definition,
( spl0_49
<=> greater_or_equal(capability(sk2,sk6),capability(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_49])],[avatar_definition]) ).
fof(f1000,plain,
( ~ greater_or_equal(capability(sk2,sk6),capability(sk2,sk5))
| spl0_49 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f1001,plain,
( spl0_48
| ~ spl0_49
| ~ spl0_3
| ~ spl0_37 ),
inference(avatar_split_clause,[],[f983,f862,f81,f998,f994]) ).
fof(f1125,plain,
( greater(age(sk2,sk6),age(sk2,sk5))
| ~ spl0_48 ),
inference(resolution,[],[f996,f206]) ).
fof(f1128,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[],[f1125,f70]) ).
fof(f1129,plain,
~ spl0_48,
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1156,plain,
( ~ smaller_or_equal(internal_friction(sk2,sk6),internal_friction(sk2,sk5))
| greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5))
| ~ spl0_47 ),
inference(resolution,[],[f991,f148]) ).
fof(f1160,definition,
( spl0_67
<=> greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_67])],[avatar_definition]) ).
fof(f1162,plain,
( greater(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5))
| ~ spl0_67 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1164,definition,
( spl0_68
<=> smaller_or_equal(internal_friction(sk2,sk6),internal_friction(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_68])],[avatar_definition]) ).
fof(f1166,plain,
( ~ smaller_or_equal(internal_friction(sk2,sk6),internal_friction(sk2,sk5))
| spl0_68 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1167,plain,
( spl0_67
| ~ spl0_68
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1156,f989,f1164,f1160]) ).
fof(f1212,plain,
( greater(capability(sk2,sk6),capability(sk2,sk5))
| spl0_49 ),
inference(resolution,[],[f1000,f47]) ).
fof(f1272,plain,
( ! [X0] : ~ smaller_or_equal(internal_friction(sk2,X0),internal_friction(sk2,sk5))
| spl0_68 ),
inference(superposition,[],[f1166,f94]) ).
fof(f1436,plain,
( $false
| spl0_68 ),
inference(resolution,[],[f1272,f42]) ).
fof(f1443,plain,
spl0_68,
inference(avatar_contradiction_clause,[],[f1436]) ).
fof(f1444,plain,
( greater(age(sk2,sk6),age(sk2,sk5))
| ~ spl0_67 ),
inference(resolution,[],[f1162,f138]) ).
fof(f1447,plain,
( $false
| ~ spl0_67 ),
inference(forward_subsumption_resolution,[],[f1444,f70]) ).
fof(f1448,plain,
~ spl0_67,
inference(avatar_contradiction_clause,[],[f1447]) ).
fof(f1452,plain,
( spl0_47
| spl0_49 ),
inference(avatar_split_clause,[],[f1212,f998,f989]) ).
fof(f1600,plain,
( ~ greater(age(sk2,sk3),eta)
| eta = age(sk2,sk3)
| ~ spl0_21 ),
inference(resolution,[],[f783,f102]) ).
fof(f1647,plain,
( ~ smaller_or_equal(eta,eta)
| ~ spl0_19
| ~ spl0_21 ),
inference(superposition,[],[f783,f515]) ).
fof(f1664,plain,
( $false
| ~ spl0_19
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f1647,f42]) ).
fof(f1665,plain,
( ~ spl0_19
| ~ spl0_21 ),
inference(avatar_contradiction_clause,[],[f1664]) ).
fof(f1677,plain,
( spl0_24
| spl0_20
| spl0_15
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f673,f484,f480,f517,f684]) ).
fof(f1678,plain,
( spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1600,f634,f517,f513]) ).
fof(f1692,plain,
( ~ smaller_or_equal(age(sk2,sk4),eta)
| ~ has_endowment(sk2)
| ~ spl0_24 ),
inference(resolution,[],[f686,f53]) ).
fof(f1693,plain,
( ~ has_endowment(sk2)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1692,f38]) ).
fof(f1695,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1693,f36]) ).
fof(f1696,plain,
~ spl0_24,
inference(avatar_contradiction_clause,[],[f1695]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f84]) ).
cnf(s5,plain,
( spl0_8
| ~ spl0_10 ),
inference(sat_conversion,[],[f175]) ).
cnf(s9,plain,
( spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f487]) ).
cnf(s26,plain,
( ~ spl0_15
| ~ spl0_21 ),
inference(sat_conversion,[],[f821]) ).
cnf(s31,plain,
( spl0_1
| spl0_21 ),
inference(sat_conversion,[],[f833]) ).
cnf(s32,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_10
| spl0_21 ),
inference(sat_conversion,[],[f858]) ).
cnf(s36,plain,
spl0_37,
inference(sat_conversion,[],[f870]) ).
cnf(s44,plain,
~ spl0_8,
inference(sat_conversion,[],[f953]) ).
cnf(s51,plain,
( ~ spl0_3
| ~ spl0_37
| spl0_48
| ~ spl0_49 ),
inference(sat_conversion,[],[f1001]) ).
cnf(s64,plain,
~ spl0_48,
inference(sat_conversion,[],[f1129]) ).
cnf(s69,plain,
( ~ spl0_47
| spl0_67
| ~ spl0_68 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s90,plain,
spl0_68,
inference(sat_conversion,[],[f1443]) ).
cnf(s91,plain,
~ spl0_67,
inference(sat_conversion,[],[f1448]) ).
cnf(s95,plain,
( spl0_47
| spl0_49 ),
inference(sat_conversion,[],[f1452]) ).
cnf(s119,plain,
( ~ spl0_19
| ~ spl0_21 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s124,plain,
( spl0_15
| ~ spl0_16
| spl0_20
| spl0_24 ),
inference(sat_conversion,[],[f1677]) ).
cnf(s125,plain,
( spl0_19
| ~ spl0_20
| ~ spl0_21 ),
inference(sat_conversion,[],[f1678]) ).
cnf(s129,plain,
~ spl0_24,
inference(sat_conversion,[],[f1696]) ).
cnf(s130,plain,
( spl0_15
| ~ spl0_16
| spl0_20 ),
inference(rat,[],[s124,s129]) ).
cnf(s140,plain,
~ spl0_47,
inference(rat,[],[s69,s90,s91]) ).
cnf(s142,plain,
spl0_49,
inference(rat,[],[s95,s140]) ).
cnf(s145,plain,
( ~ spl0_3
| ~ spl0_37 ),
inference(rat,[],[s51,s142,s64]) ).
cnf(s149,plain,
~ spl0_3,
inference(rat,[],[s145,s36]) ).
cnf(s154,plain,
~ spl0_10,
inference(rat,[],[s5,s44]) ).
cnf(s156,plain,
( ~ spl0_1
| spl0_2 ),
inference(rat,[],[s1,s149]) ).
cnf(s157,plain,
( spl0_15
| spl0_20 ),
inference(rat,[],[s9,s130]) ).
cnf(s158,plain,
~ spl0_21,
inference(rat,[],[s157,s125,s26,s119]) ).
cnf(s159,plain,
spl0_1,
inference(rat,[],[s31,s158]) ).
cnf(s160,plain,
~ spl0_2,
inference(rat,[],[s32,s159,s154,s158]) ).
cnf(s161,plain,
$false,
inference(rat,[],[s156,s160,s159]) ).
fof(f1697,plain,
$false,
inference(avatar_sat_refutation,[],[s161]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT047-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n026.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 17:30:27 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.50 % (3085651)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (3085661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3928588880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (3085657)% WARNING: option uhcvi not known.
% 0.17/0.50 % (3085656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3054281872_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (3085657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1172056553:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (3085658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2265247034:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (3085659)dis+10_1_sil=32000:sp=arity:random_seed=4283462631:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (3085660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2506151343:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (3085662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1895461549:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % TRYING [1]
% 0.17/0.50 % TRYING [2]
% 0.17/0.50 % TRYING [3]
% 0.17/0.50 % TRYING [4]
% 0.17/0.50 % (3085661)Instruction limit reached!
% 0.17/0.50 % (3085661)------------------------------
% 0.17/0.50 % (3085661)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (3085661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (3085661)CaDiCaL version: 2.1.3
% 0.17/0.50 % (3085661)Termination reason: Instruction limit
% 0.17/0.50 % (3085661)Termination phase: Saturation
% 0.17/0.50 % (3085661)Time elapsed: 0.043 s
% 0.17/0.50 % (3085661)Peak memory usage: 12 MB
% 0.17/0.50 % (3085661)Instructions burned: 133 (million)
% 0.17/0.50 % (3085657) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3085651-3085657"...
% 0.17/0.50 % (3085670)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2216662982:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.50 % (3085657)...printing done.
% 0.17/0.50 % (3085657)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (3085657)------------------------------
% 0.17/0.50 % (3085657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (3085657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (3085657)CaDiCaL version: 2.1.3
% 0.17/0.50 % (3085657)Termination reason: Refutation
% 0.17/0.50 % (3085657)Time elapsed: 0.045 s
% 0.17/0.50 % (3085657)Peak memory usage: 13 MB
% 0.17/0.50 % (3085657)Instructions burned: 66 (million)
% 0.17/0.50 % (3085651)Success in time 0.07 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------