%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT050+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 12:02:43 PM UTC 2026
% Result : Theorem 0.13s 0.44s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 105 ( 22 unt; 6 def)
% Number of atoms : 308 ( 41 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 335 ( 132 ~; 135 |; 40 &)
% ( 9 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn 110 !; 6 ?)
% 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) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( greater(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_greater_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f7,axiom,
! [X0,X1] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( 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)) )
& ( ( 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)) )
& ( ( capability(X0,X2) = capability(X0,X1)
& position(X0,X2) = position(X0,X1) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4) ).
fof(f9,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
& greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
& internal_friction(X0,X2) = internal_friction(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
fof(f10,axiom,
! [X0,X1,X2] :
( organization(X0)
=> ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) )
& ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(f11,axiom,
! [X0,X1,X2] :
( organization(X0)
=> stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).
fof(f12,axiom,
! [X0,X1,X2] :
( organization(X0)
=> external_ties(X0,X2) = external_ties(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( ( organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( ( organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ( greater(X0,X1)
| X0 = X1 )
=> greater_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f17,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1 )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f18,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ( ~ greater(X0,X1)
& X0 != X1 ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ 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))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1)) )
& ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| position(X0,X2) != position(X0,X1) ) )
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ 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))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1)) )
& ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| capability(X0,X2) != capability(X0,X1)
| position(X0,X2) != position(X0,X1) ) )
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( ( greater(capability(X0,X2),capability(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
& ( capability(X0,X2) = capability(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) )
& ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f31,plain,
! [X0,X1,X2] :
( external_ties(X0,X2) = external_ties(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ organization(X0)
| ~ greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
? [X0,X1,X2] :
( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f35,plain,
? [X0,X1,X2] :
( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& organization(X0)
& ~ has_endowment(X0)
& greater(age(X0,X2),age(X0,X1)) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f37,plain,
( ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
& organization(sK0)
& ~ has_endowment(sK0)
& greater(age(sK0,sK2),age(sK0,sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f35]) ).
fof(f38,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f47,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| smaller(capability(X0,X2),capability(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f54,plain,
! [X2,X0,X1] :
( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| external_ties(X0,X2) = external_ties(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0)
| greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f59,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f60,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
organization(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f62,plain,
~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f38]) ).
fof(f64,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f40]) ).
fof(f87,plain,
! [X0,X1] : stock_of_knowledge(sK0,X0) = stock_of_knowledge(sK0,X1),
inference(resolution,[],[f56,f61]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| position(X0,X2) = position(X0,X1) ),
inference(forward_subsumption_resolution,[],[f54,f57]) ).
fof(f99,plain,
! [X0,X1] : position(sK0,X0) = position(sK0,X1),
inference(resolution,[],[f97,f61]) ).
fof(f114,plain,
( ~ organization(sK0)
| greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)) ),
inference(resolution,[],[f58,f59]) ).
fof(f116,plain,
greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f114,f61]) ).
fof(f134,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f52,f116]) ).
fof(f136,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(forward_subsumption_resolution,[],[f134,f61]) ).
fof(f138,definition,
( spl3_5
<=> smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f140,plain,
( smaller(capability(sK0,sK2),capability(sK0,sK1))
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f142,definition,
( spl3_6
<=> smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f144,plain,
( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| spl3_6 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl3_5
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f136,f142,f138]) ).
fof(f155,plain,
( ! [X0] : ~ smaller_or_equal(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,sK1))
| spl3_6 ),
inference(superposition,[],[f144,f87]) ).
fof(f164,plain,
( $false
| spl3_6 ),
inference(resolution,[],[f155,f63]) ).
fof(f169,plain,
spl3_6,
inference(avatar_contradiction_clause,[],[f164]) ).
fof(f179,plain,
( greater(capability(sK0,sK1),capability(sK0,sK2))
| ~ spl3_5 ),
inference(resolution,[],[f140,f42]) ).
fof(f191,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| ~ organization(sK0)
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ spl3_5 ),
inference(resolution,[],[f179,f50]) ).
fof(f196,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f191,f61]) ).
fof(f199,definition,
( spl3_7
<=> has_immunity(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f200,plain,
( ~ has_immunity(sK0,sK1)
| spl3_7 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f201,plain,
( has_immunity(sK0,sK1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl3_8
<=> has_immunity(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f204,plain,
( ~ has_immunity(sK0,sK2)
| spl3_8 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f205,plain,
( has_immunity(sK0,sK2)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f207,definition,
( spl3_9
<=> greater_or_equal(position(sK0,sK1),position(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f208,plain,
( greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f209,plain,
( ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
| spl3_9 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f303,plain,
( ! [X0] : ~ greater_or_equal(position(sK0,X0),position(sK0,sK2))
| spl3_9 ),
inference(superposition,[],[f209,f99]) ).
fof(f477,plain,
( $false
| spl3_9 ),
inference(resolution,[],[f303,f64]) ).
fof(f483,plain,
spl3_9,
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f485,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl3_7 ),
inference(resolution,[],[f201,f47]) ).
fof(f486,plain,
( has_endowment(sK0)
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f485,f61]) ).
fof(f487,plain,
( $false
| ~ spl3_7 ),
inference(forward_subsumption_resolution,[],[f486,f60]) ).
fof(f488,plain,
~ spl3_7,
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f528,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl3_8 ),
inference(resolution,[],[f205,f47]) ).
fof(f529,plain,
( has_endowment(sK0)
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f528,f61]) ).
fof(f530,plain,
( $false
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f529,f60]) ).
fof(f531,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f530]) ).
fof(f573,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ spl3_5
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f196,f208]) ).
fof(f575,definition,
( spl3_32
<=> smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_32])],[avatar_definition]) ).
fof(f577,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ spl3_32 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f579,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| has_immunity(sK0,sK1)
| ~ spl3_5
| spl3_8
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f573,f204]) ).
fof(f580,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| ~ spl3_5
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(forward_subsumption_resolution,[],[f579,f200]) ).
fof(f581,plain,
( spl3_32
| ~ spl3_5
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f580,f207,f203,f199,f138,f575]) ).
fof(f748,plain,
( greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
| ~ spl3_32 ),
inference(resolution,[],[f577,f42]) ).
fof(f750,plain,
( $false
| ~ spl3_32 ),
inference(forward_subsumption_resolution,[],[f748,f62]) ).
fof(f751,plain,
~ spl3_32,
inference(avatar_contradiction_clause,[],[f750]) ).
cnf(s4,plain,
( spl3_5
| ~ spl3_6 ),
inference(sat_conversion,[],[f145]) ).
cnf(s5,plain,
spl3_6,
inference(sat_conversion,[],[f169]) ).
cnf(s33,plain,
spl3_9,
inference(sat_conversion,[],[f483]) ).
cnf(s36,plain,
~ spl3_7,
inference(sat_conversion,[],[f488]) ).
cnf(s37,plain,
~ spl3_8,
inference(sat_conversion,[],[f531]) ).
cnf(s41,plain,
( ~ spl3_5
| spl3_7
| spl3_8
| ~ spl3_9
| spl3_32 ),
inference(sat_conversion,[],[f581]) ).
cnf(s48,plain,
~ spl3_32,
inference(sat_conversion,[],[f751]) ).
cnf(s49,plain,
( ~ spl3_5
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(rat,[],[s41,s48]) ).
cnf(s53,plain,
~ spl3_5,
inference(rat,[],[s49,s36,s37,s33]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s4,s5,s53]) ).
fof(f752,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT050+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 27 17:30:42 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.44 % (3086325)Will run a generic schedule for satisfiability detection.
% 0.13/0.44 % (3086336)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3652421289:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.13/0.44 % (3086331)% WARNING: option uhcvi not known.
% 0.13/0.44 % (3086333)dis+10_1_sil=32000:sp=arity:random_seed=1498073501:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.13/0.44 % (3086332)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2990434334:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.13/0.44 % (3086331)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=507665475:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.13/0.44 % (3086335)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2687553832:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.13/0.44 % (3086330)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2730508766_3000 on theBenchmark for (3000ds/0Mi)
% 0.13/0.44 % (3086334)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1721150649:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.13/0.44 % TRYING [1]
% 0.13/0.44 % TRYING [2]
% 0.13/0.44 % TRYING [3]
% 0.13/0.44 % TRYING [4]
% 0.13/0.44 % (3086333) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3086325-3086333"...
% 0.13/0.44 % TRYING [5]
% 0.13/0.44 % (3086333)...printing done.
% 0.13/0.44 % (3086333)Refutation found. Thanks to Tanya!
% 0.13/0.44 % SZS status Theorem for theBenchmark
% 0.13/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.44 % (3086333)------------------------------
% 0.13/0.44 % (3086333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.44 % (3086333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.44 % (3086333)CaDiCaL version: 2.1.3
% 0.13/0.44 % (3086333)Termination reason: Refutation
% 0.13/0.44 % (3086333)Time elapsed: 0.021 s
% 0.13/0.44 % (3086333)Peak memory usage: 13 MB
% 0.13/0.44 % (3086333)Instructions burned: 32 (million)
% 0.13/0.44 % (3086325)Success in time 0.044 s
% 0.13/0.44 % Vampire exiting
%------------------------------------------------------------------------------