%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT051-1 : 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 : n020.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 12:02:43 PM UTC 2026
% Result : Unsatisfiable 1.03s 0.58s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 43
% Syntax : Number of formulae : 203 ( 42 unt; 17 def)
% Number of atoms : 467 ( 48 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 469 ( 205 ~; 247 |; 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 : 122 ( 0 sgn 122 !; 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(f6,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001-0.ax',definition_greater_or_equal_6) ).
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(f12,axiom,
! [X0] :
( ~ has_endowment(X0)
| organization(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1_41) ).
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(f21,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(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_50) ).
fof(f26,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| smaller(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5_54) ).
fof(f30,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X1) = position(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6_57) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X2) = position(X0,X1) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10_58) ).
fof(f33,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X1) = external_ties(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11_59) ).
fof(f34,axiom,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ greater(age(X0,X1),age(X0,X2))
| greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12_60) ).
fof(f35,negated_conjecture,
organization(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_61) ).
fof(f36,negated_conjecture,
has_endowment(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_62) ).
fof(f37,negated_conjecture,
smaller_or_equal(age(sk2,sk3),age(sk2,sk4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_63) ).
fof(f38,negated_conjecture,
smaller_or_equal(age(sk2,sk4),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_64) ).
fof(f39,negated_conjecture,
greater(age(sk2,sk5),eta),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_65) ).
fof(f40,negated_conjecture,
greater(age(sk2,sk6),age(sk2,sk5)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_66) ).
fof(f41,negated_conjecture,
( ~ greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_4_67) ).
fof(f42,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f3]) ).
fof(f43,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f6]) ).
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(f48,plain,
! [X1] : ~ greater_or_equal(X1,X1),
inference(consistent_polarity_flipping,[],[f43]) ).
fof(f49,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f51,plain,
! [X0,X1] :
( greater(X0,X1)
| greater(X1,X0) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ greater(X0,X2)
| greater(X1,X2)
| greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f53,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| X0 = X1
| ~ greater(X0,X1) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f54,plain,
! [X0] :
( ~ organization(X0)
| ~ has_endowment(X0) ),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f55,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f56,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| greater(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f61,plain,
! [X2,X0,X1] :
( has_immunity(X0,X1)
| has_immunity(X0,X2)
| organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| organization(X0) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f63,plain,
! [X2,X0,X1] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| greater(capability(X0,X2),capability(X0,X1))
| greater_or_equal(position(X0,X2),position(X0,X1))
| organization(X0) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ smaller(capability(X0,X1),capability(X0,X2))
| ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
| greater(internal_friction(X0,X1),internal_friction(X0,X2))
| organization(X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f70,plain,
! [X2,X0,X1] :
( organization(X0)
| external_ties(X0,X1) != external_ties(X0,X2)
| position(X0,X2) = position(X0,X1) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f71,plain,
! [X2,X0,X1] :
( organization(X0)
| stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f72,plain,
! [X2,X0,X1] :
( organization(X0)
| external_ties(X0,X1) = external_ties(X0,X2) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
| greater(age(X0,X1),age(X0,X2))
| organization(X0) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f74,plain,
~ organization(sk2),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f75,plain,
~ greater(age(sk2,sk5),eta),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f76,plain,
~ greater(age(sk2,sk6),age(sk2,sk5)),
inference(consistent_polarity_flipping,[],[f40]) ).
fof(f77,plain,
( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| hazard_of_mortality(sk2,sk4) != hazard_of_mortality(sk2,sk3) ),
inference(consistent_polarity_flipping,[],[f41]) ).
fof(f79,definition,
( spl0_1
<=> hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f83,definition,
( spl0_2
<=> greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f85,plain,
( greater(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk4))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl0_3
<=> greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f89,plain,
( greater(hazard_of_mortality(sk2,sk6),hazard_of_mortality(sk2,sk5))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f77,f87,f83,f79]) ).
fof(f92,plain,
greater(eta,age(sk2,sk5)),
inference(resolution,[],[f51,f75]) ).
fof(f94,plain,
! [X0,X1] :
( smaller(X1,X0)
| greater(X1,X0) ),
inference(resolution,[],[f51,f49]) ).
fof(f104,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ greater(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f53,f45]) ).
fof(f105,plain,
! [X0,X1] : stock_of_knowledge(sk2,X0) = stock_of_knowledge(sk2,X1),
inference(resolution,[],[f71,f74]) ).
fof(f109,plain,
! [X0] :
( greater(X0,age(sk2,sk5))
| greater(eta,X0) ),
inference(resolution,[],[f92,f52]) ).
fof(f121,plain,
! [X0] :
( greater(age(sk2,X0),eta)
| has_immunity(sk2,X0) ),
inference(resolution,[],[f56,f36]) ).
fof(f125,plain,
! [X2,X0,X1] :
( has_immunity(X0,X2)
| organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(resolution,[],[f61,f55]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ has_endowment(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X2) ),
inference(forward_subsumption_resolution,[],[f125,f54]) ).
fof(f145,plain,
! [X2,X0,X1] :
( organization(X0)
| position(X0,X2) = position(X0,X1) ),
inference(forward_subsumption_resolution,[],[f70,f72]) ).
fof(f146,plain,
! [X0,X1] : position(sk2,X0) = position(sk2,X1),
inference(resolution,[],[f145,f74]) ).
fof(f211,plain,
has_immunity(sk2,sk5),
inference(resolution,[],[f121,f75]) ).
fof(f213,plain,
! [X0,X1] :
( greater(age(sk2,X0),X1)
| greater(X1,eta)
| has_immunity(sk2,X0) ),
inference(resolution,[],[f121,f52]) ).
fof(f237,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f94,f44]) ).
fof(f282,plain,
greater(eta,age(sk2,sk6)),
inference(resolution,[],[f109,f76]) ).
fof(f294,plain,
smaller(age(sk2,sk6),eta),
inference(resolution,[],[f282,f49]) ).
fof(f296,definition,
( spl0_10
<=> eta = age(sk2,sk6) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f298,plain,
( eta = age(sk2,sk6)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f310,plain,
( eta = age(sk2,sk6)
| ~ greater(age(sk2,sk6),eta) ),
inference(resolution,[],[f294,f53]) ).
fof(f319,definition,
( spl0_13
<=> greater(age(sk2,sk6),eta) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f321,plain,
( ~ greater(age(sk2,sk6),eta)
| spl0_13 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f322,plain,
( ~ spl0_13
| spl0_10 ),
inference(avatar_split_clause,[],[f310,f296,f319]) ).
fof(f323,plain,
( ~ greater(eta,age(sk2,sk5))
| ~ spl0_10 ),
inference(superposition,[],[f76,f298]) ).
fof(f334,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f323,f92]) ).
fof(f335,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f334]) ).
fof(f365,plain,
( has_immunity(sk2,sk6)
| spl0_13 ),
inference(resolution,[],[f321,f121]) ).
fof(f382,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(resolution,[],[f127,f36]) ).
fof(f486,plain,
! [X0] :
( has_immunity(sk2,X0)
| hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,X0) ),
inference(resolution,[],[f382,f38]) ).
fof(f547,plain,
( greater(age(sk2,sk4),eta)
| eta = age(sk2,sk4) ),
inference(resolution,[],[f237,f38]) ).
fof(f548,plain,
( greater(age(sk2,sk3),age(sk2,sk4))
| age(sk2,sk3) = age(sk2,sk4) ),
inference(resolution,[],[f237,f37]) ).
fof(f556,definition,
( spl0_18
<=> age(sk2,sk3) = age(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f557,plain,
( age(sk2,sk3) != age(sk2,sk4)
| spl0_18 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f558,plain,
( age(sk2,sk3) = age(sk2,sk4)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f560,definition,
( spl0_19
<=> greater(age(sk2,sk3),age(sk2,sk4)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f562,plain,
( greater(age(sk2,sk3),age(sk2,sk4))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f563,plain,
( spl0_18
| spl0_19 ),
inference(avatar_split_clause,[],[f548,f560,f556]) ).
fof(f565,definition,
( spl0_20
<=> eta = age(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f566,plain,
( eta != age(sk2,sk4)
| spl0_20 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f567,plain,
( eta = age(sk2,sk4)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f569,definition,
( spl0_21
<=> greater(age(sk2,sk4),eta) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f571,plain,
( greater(age(sk2,sk4),eta)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f572,plain,
( spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f547,f569,f565]) ).
fof(f600,plain,
( smaller_or_equal(age(sk2,sk3),eta)
| ~ spl0_20 ),
inference(superposition,[],[f37,f567]) ).
fof(f667,definition,
( spl0_22
<=> eta = age(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f669,plain,
( eta = age(sk2,sk3)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f671,definition,
( spl0_23
<=> greater(age(sk2,sk3),eta) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f672,plain,
( ~ greater(age(sk2,sk3),eta)
| spl0_23 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f673,plain,
( greater(age(sk2,sk3),eta)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f671]) ).
fof(f717,plain,
( smaller(eta,age(sk2,sk4))
| ~ spl0_21 ),
inference(resolution,[],[f571,f49]) ).
fof(f726,plain,
( ~ smaller_or_equal(eta,age(sk2,sk4))
| eta = age(sk2,sk4)
| ~ spl0_21 ),
inference(resolution,[],[f717,f44]) ).
fof(f728,plain,
( ~ smaller_or_equal(eta,age(sk2,sk4))
| spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f726,f566]) ).
fof(f760,definition,
( spl0_24
<=> has_immunity(sk2,sk3) ),
introduced(definition,[new_symbols(definition,[spl0_24])],[avatar_definition]) ).
fof(f761,plain,
( ~ has_immunity(sk2,sk3)
| spl0_24 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f762,plain,
( has_immunity(sk2,sk3)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f844,plain,
( smaller(age(sk2,sk4),age(sk2,sk3))
| ~ spl0_19 ),
inference(resolution,[],[f562,f49]) ).
fof(f846,plain,
( age(sk2,sk3) = age(sk2,sk4)
| ~ greater(age(sk2,sk4),age(sk2,sk3))
| ~ spl0_19 ),
inference(resolution,[],[f844,f53]) ).
fof(f850,plain,
( ~ greater(age(sk2,sk4),age(sk2,sk3))
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f846,f557]) ).
fof(f883,plain,
( greater(age(sk2,sk3),eta)
| has_immunity(sk2,sk4)
| spl0_18
| ~ spl0_19 ),
inference(resolution,[],[f850,f213]) ).
fof(f898,definition,
( spl0_26
<=> has_immunity(sk2,sk4) ),
introduced(definition,[new_symbols(definition,[spl0_26])],[avatar_definition]) ).
fof(f899,plain,
( ~ has_immunity(sk2,sk4)
| spl0_26 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f900,plain,
( has_immunity(sk2,sk4)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f942,plain,
( smaller_or_equal(eta,age(sk2,sk4))
| ~ spl0_22 ),
inference(superposition,[],[f37,f669]) ).
fof(f979,plain,
( $false
| spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f942,f728]) ).
fof(f980,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f1027,plain,
( ~ smaller_or_equal(age(sk2,sk3),eta)
| ~ has_endowment(sk2)
| ~ spl0_24 ),
inference(resolution,[],[f762,f55]) ).
fof(f1028,plain,
( ~ smaller_or_equal(age(sk2,sk3),eta)
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1027,f36]) ).
fof(f1049,plain,
( ~ greater(age(sk2,sk4),eta)
| ~ spl0_18
| spl0_23 ),
inference(superposition,[],[f672,f558]) ).
fof(f1075,plain,
( $false
| ~ spl0_18
| ~ spl0_21
| spl0_23 ),
inference(forward_subsumption_resolution,[],[f1049,f571]) ).
fof(f1076,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_23 ),
inference(avatar_contradiction_clause,[],[f1075]) ).
fof(f1086,plain,
( ~ smaller_or_equal(age(sk2,sk4),eta)
| ~ has_endowment(sk2)
| ~ spl0_26 ),
inference(resolution,[],[f900,f55]) ).
fof(f1087,plain,
( ~ has_endowment(sk2)
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1086,f38]) ).
fof(f1092,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[],[f1087,f36]) ).
fof(f1093,plain,
~ spl0_26,
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1095,plain,
( spl0_26
| spl0_23
| spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f883,f560,f556,f671,f898]) ).
fof(f1144,plain,
( ~ greater(age(sk2,sk3),eta)
| eta = age(sk2,sk3)
| ~ spl0_24 ),
inference(resolution,[],[f1028,f104]) ).
fof(f1146,plain,
( eta = age(sk2,sk3)
| ~ spl0_23
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1144,f673]) ).
fof(f1198,plain,
( hazard_of_mortality(sk2,sk4) = hazard_of_mortality(sk2,sk3)
| spl0_24 ),
inference(resolution,[],[f761,f486]) ).
fof(f1205,plain,
( spl0_1
| spl0_24 ),
inference(avatar_split_clause,[],[f1198,f760,f79]) ).
fof(f1224,plain,
( has_immunity(sk2,sk4)
| ~ has_immunity(sk2,sk5)
| organization(sk2)
| ~ spl0_2 ),
inference(resolution,[],[f85,f62]) ).
fof(f1237,plain,
( ~ has_immunity(sk2,sk5)
| organization(sk2)
| ~ spl0_2
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f1224,f899]) ).
fof(f1238,plain,
( organization(sk2)
| ~ spl0_2
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f1237,f211]) ).
fof(f1239,plain,
( $false
| ~ spl0_2
| spl0_26 ),
inference(forward_subsumption_resolution,[],[f1238,f74]) ).
fof(f1240,plain,
( ~ spl0_2
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f1239]) ).
fof(f1274,plain,
( smaller(hazard_of_mortality(sk2,sk5),hazard_of_mortality(sk2,sk6))
| ~ spl0_3 ),
inference(resolution,[],[f89,f49]) ).
fof(f1328,plain,
( ~ has_immunity(sk2,sk6)
| ~ has_immunity(sk2,sk5)
| greater(capability(sk2,sk5),capability(sk2,sk6))
| greater_or_equal(position(sk2,sk5),position(sk2,sk6))
| organization(sk2)
| ~ spl0_3 ),
inference(resolution,[],[f1274,f63]) ).
fof(f1342,plain,
( ~ has_immunity(sk2,sk5)
| greater(capability(sk2,sk5),capability(sk2,sk6))
| greater_or_equal(position(sk2,sk5),position(sk2,sk6))
| organization(sk2)
| ~ spl0_3
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f1328,f365]) ).
fof(f1344,plain,
( greater(capability(sk2,sk5),capability(sk2,sk6))
| greater_or_equal(position(sk2,sk5),position(sk2,sk6))
| organization(sk2)
| ~ spl0_3
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f1342,f211]) ).
fof(f1346,plain,
( greater(capability(sk2,sk5),capability(sk2,sk6))
| greater_or_equal(position(sk2,sk5),position(sk2,sk6))
| ~ spl0_3
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f1344,f74]) ).
fof(f1349,definition,
( spl0_40
<=> greater_or_equal(position(sk2,sk5),position(sk2,sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_40])],[avatar_definition]) ).
fof(f1351,plain,
( greater_or_equal(position(sk2,sk5),position(sk2,sk6))
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1353,definition,
( spl0_41
<=> greater(capability(sk2,sk5),capability(sk2,sk6)) ),
introduced(definition,[new_symbols(definition,[spl0_41])],[avatar_definition]) ).
fof(f1355,plain,
( greater(capability(sk2,sk5),capability(sk2,sk6))
| ~ spl0_41 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1356,plain,
( spl0_40
| spl0_41
| ~ spl0_3
| spl0_13 ),
inference(avatar_split_clause,[],[f1346,f319,f87,f1353,f1349]) ).
fof(f1415,plain,
( ! [X0] : greater_or_equal(position(sk2,X0),position(sk2,sk6))
| ~ spl0_40 ),
inference(superposition,[],[f1351,f146]) ).
fof(f1491,plain,
( $false
| ~ spl0_40 ),
inference(resolution,[],[f1415,f48]) ).
fof(f1497,plain,
~ spl0_40,
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1513,plain,
( smaller(capability(sk2,sk6),capability(sk2,sk5))
| ~ spl0_41 ),
inference(resolution,[],[f1355,f49]) ).
fof(f1522,definition,
( spl0_47
<=> greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_47])],[avatar_definition]) ).
fof(f1524,plain,
( greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5))
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1633,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5))
| greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5))
| organization(sk2)
| ~ spl0_41 ),
inference(resolution,[],[f1513,f67]) ).
fof(f1647,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5))
| greater(internal_friction(sk2,sk6),internal_friction(sk2,sk5))
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[],[f1633,f74]) ).
fof(f1649,definition,
( spl0_58
<=> smaller_or_equal(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5)) ),
introduced(definition,[new_symbols(definition,[spl0_58])],[avatar_definition]) ).
fof(f1651,plain,
( ~ smaller_or_equal(stock_of_knowledge(sk2,sk6),stock_of_knowledge(sk2,sk5))
| spl0_58 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1652,plain,
( spl0_47
| ~ spl0_58
| ~ spl0_41 ),
inference(avatar_split_clause,[],[f1647,f1353,f1649,f1522]) ).
fof(f1684,plain,
( greater(age(sk2,sk6),age(sk2,sk5))
| organization(sk2)
| ~ spl0_47 ),
inference(resolution,[],[f1524,f73]) ).
fof(f1693,plain,
( organization(sk2)
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1684,f76]) ).
fof(f1694,plain,
( $false
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[],[f1693,f74]) ).
fof(f1695,plain,
~ spl0_47,
inference(avatar_contradiction_clause,[],[f1694]) ).
fof(f2695,plain,
( ! [X0] : ~ smaller_or_equal(stock_of_knowledge(sk2,X0),stock_of_knowledge(sk2,sk5))
| spl0_58 ),
inference(superposition,[],[f1651,f105]) ).
fof(f4046,plain,
( $false
| spl0_58 ),
inference(resolution,[],[f2695,f42]) ).
fof(f4053,plain,
spl0_58,
inference(avatar_contradiction_clause,[],[f4046]) ).
fof(f4066,plain,
( spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1146,f760,f671,f667]) ).
fof(f4366,plain,
( $false
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[],[f1028,f600]) ).
fof(f4367,plain,
( ~ spl0_20
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f4366]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f90]) ).
cnf(s10,plain,
( spl0_10
| ~ spl0_13 ),
inference(sat_conversion,[],[f322]) ).
cnf(s12,plain,
~ spl0_10,
inference(sat_conversion,[],[f335]) ).
cnf(s26,plain,
( spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f563]) ).
cnf(s27,plain,
( spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f572]) ).
cnf(s35,plain,
( spl0_20
| ~ spl0_21
| ~ spl0_22 ),
inference(sat_conversion,[],[f980]) ).
cnf(s40,plain,
( ~ spl0_18
| ~ spl0_21
| spl0_23 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s46,plain,
~ spl0_26,
inference(sat_conversion,[],[f1093]) ).
cnf(s47,plain,
( spl0_18
| ~ spl0_19
| spl0_23
| spl0_26 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s52,plain,
( spl0_1
| spl0_24 ),
inference(sat_conversion,[],[f1205]) ).
cnf(s54,plain,
( ~ spl0_2
| spl0_26 ),
inference(sat_conversion,[],[f1240]) ).
cnf(s61,plain,
( ~ spl0_3
| spl0_13
| spl0_40
| spl0_41 ),
inference(sat_conversion,[],[f1356]) ).
cnf(s67,plain,
~ spl0_40,
inference(sat_conversion,[],[f1497]) ).
cnf(s77,plain,
( ~ spl0_41
| spl0_47
| ~ spl0_58 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s79,plain,
~ spl0_47,
inference(sat_conversion,[],[f1695]) ).
cnf(s192,plain,
spl0_58,
inference(sat_conversion,[],[f4053]) ).
cnf(s199,plain,
( spl0_22
| ~ spl0_23
| ~ spl0_24 ),
inference(sat_conversion,[],[f4066]) ).
cnf(s231,plain,
( ~ spl0_20
| ~ spl0_24 ),
inference(sat_conversion,[],[f4367]) ).
cnf(s235,plain,
~ spl0_41,
inference(rat,[],[s77,s192,s79]) ).
cnf(s239,plain,
( ~ spl0_3
| spl0_13 ),
inference(rat,[],[s61,s235,s67]) ).
cnf(s240,plain,
~ spl0_2,
inference(rat,[],[s54,s46]) ).
cnf(s245,plain,
~ spl0_13,
inference(rat,[],[s10,s12]) ).
cnf(s247,plain,
~ spl0_3,
inference(rat,[],[s239,s245]) ).
cnf(s256,plain,
~ spl0_1,
inference(rat,[],[s1,s247,s240]) ).
cnf(s257,plain,
spl0_24,
inference(rat,[],[s52,s256]) ).
cnf(s258,plain,
~ spl0_20,
inference(rat,[],[s231,s257]) ).
cnf(s260,plain,
spl0_21,
inference(rat,[],[s27,s258]) ).
cnf(s264,plain,
~ spl0_22,
inference(rat,[],[s35,s258,s260]) ).
cnf(s265,plain,
~ spl0_23,
inference(rat,[],[s199,s257,s264]) ).
cnf(s266,plain,
~ spl0_18,
inference(rat,[],[s40,s260,s265]) ).
cnf(s268,plain,
~ spl0_19,
inference(rat,[],[s47,s46,s265,s266]) ).
cnf(s269,plain,
$false,
inference(rat,[],[s26,s268,s266]) ).
fof(f4368,plain,
$false,
inference(avatar_sat_refutation,[],[s269]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT051-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n020.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 17:29:05 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 1.03/0.58 % (3632319)Will run a generic schedule for satisfiability detection.
% 1.03/0.58 % (3632326)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=556556150:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.03/0.58 % (3632325)% WARNING: option uhcvi not known.
% 1.03/0.58 % (3632324)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=375455010_2999 on theBenchmark for (2999ds/0Mi)
% 1.03/0.58 % (3632327)dis+10_1_sil=32000:sp=arity:random_seed=2481770882:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.03/0.58 % (3632328)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1359879689:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.03/0.58 % (3632329)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3428738875:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.03/0.58 % (3632330)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3446659707:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.03/0.58 % (3632325)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2746894048:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.03/0.58 % TRYING [1]
% 1.03/0.58 % TRYING [2]
% 1.03/0.58 % TRYING [3]
% 1.03/0.58 % TRYING [4]
% 1.03/0.58 % TRYING [5]
% 1.03/0.58 % (3632327)Instruction limit reached!
% 1.03/0.58 % (3632327)------------------------------
% 1.03/0.58 % (3632327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.58 % (3632327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.58 % (3632327)CaDiCaL version: 2.1.3
% 1.03/0.58 % (3632327)Termination reason: Instruction limit
% 1.03/0.58 % (3632327)Termination phase: Saturation
% 1.03/0.58 % (3632327)Time elapsed: 0.068 s
% 1.03/0.58 % (3632327)Peak memory usage: 12 MB
% 1.03/0.58 % (3632327)Instructions burned: 103 (million)
% 1.03/0.58 % (3632328)Instruction limit reached!
% 1.03/0.58 % (3632328)------------------------------
% 1.03/0.58 % (3632328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.58 % (3632328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.58 % (3632328)CaDiCaL version: 2.1.3
% 1.03/0.58 % (3632328)Termination reason: Instruction limit
% 1.03/0.58 % (3632328)Termination phase: Saturation
% 1.03/0.58 % (3632328)Time elapsed: 0.069 s
% 1.03/0.58 % (3632328)Peak memory usage: 12 MB
% 1.03/0.58 % (3632328)Instructions burned: 116 (million)
% 1.03/0.58 % (3632329)Instruction limit reached!
% 1.03/0.58 % (3632329)------------------------------
% 1.03/0.58 % (3632329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.58 % (3632329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.58 % (3632329)CaDiCaL version: 2.1.3
% 1.03/0.58 % (3632329)Termination reason: Instruction limit
% 1.03/0.58 % (3632329)Termination phase: Saturation
% 1.03/0.58 % (3632329)Time elapsed: 0.079 s
% 1.03/0.58 % (3632329)Peak memory usage: 12 MB
% 1.03/0.58 % (3632329)Instructions burned: 132 (million)
% 1.03/0.58 % (3632339)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=931307390:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.03/0.58 % (3632338)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=986371847:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.03/0.58 % TRYING [1]
% 1.03/0.58 % TRYING [2]
% 1.03/0.58 % TRYING [3]
% 1.03/0.58 % (3632340)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2872632334:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.03/0.58 % (3632330)Instruction limit reached!
% 1.03/0.58 % (3632330)------------------------------
% 1.03/0.58 % (3632330)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.58 % (3632330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.58 % (3632330)CaDiCaL version: 2.1.3
% 1.03/0.58 % (3632330)Termination reason: Instruction limit
% 1.03/0.58 % (3632330)Termination phase: Saturation
% 1.03/0.58 % (3632330)Time elapsed: 0.101 s
% 1.03/0.58 % (3632330)Peak memory usage: 13 MB
% 1.03/0.58 % (3632330)Instructions burned: 159 (million)
% 1.03/0.58 % (3632344)ott-21_1_sil=16000:fs=off:random_seed=3430835780:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.03/0.58 % TRYING [4]
% 1.03/0.58 % (3632325) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3632319-3632325"...
% 1.03/0.58 % (3632325)...printing done.
% 1.03/0.58 % (3632325)Refutation found. Thanks to Tanya!
% 1.03/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.03/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.03/0.59 % (3632325)------------------------------
% 1.03/0.59 % (3632325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.03/0.59 % (3632325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.03/0.59 % (3632325)CaDiCaL version: 2.1.3
% 1.03/0.59 % (3632325)Termination reason: Refutation
% 1.03/0.59 % (3632325)Time elapsed: 0.135 s
% 1.03/0.59 % (3632325)Peak memory usage: 13 MB
% 1.03/0.59 % (3632325)Instructions burned: 214 (million)
% 1.03/0.59 % (3632319)Success in time 0.176 s
% 1.03/0.59 % Vampire exiting
%------------------------------------------------------------------------------