%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT061+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:02:17 PM UTC 2026
% Result : Theorem 2.95s 1.32s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 183 ( 34 unt; 14 def)
% Number of atoms : 565 ( 63 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 646 ( 264 ~; 266 |; 74 &)
% ( 23 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 15 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 133 ( 0 sgn 125 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
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] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_2) ).
fof(f9,axiom,
! [X0,X1] :
( ( organization(X0)
& age(X0,X1) = zero )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& age(X0,X1) = zero )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_15) ).
fof(f11,axiom,
! [X0] :
( fragile_position(X0)
<=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) )
& ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3) ).
fof(f12,axiom,
! [X0,X1] :
( organization(X0)
=> ( ( has_immunity(X0,X1)
=> hazard_of_mortality(X0,X1) = very_low )
& ( ~ has_immunity(X0,X1)
=> ( ( ( is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = low )
& ( ( ~ is_aligned(X0,X1)
& positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod1 )
& ( ( is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = mod2 )
& ( ( ~ is_aligned(X0,X1)
& ~ positional_advantage(X0,X1) )
=> hazard_of_mortality(X0,X1) = high ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f13,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a) ).
fof(f14,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(f18,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_7) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
! [X0] :
( fragile_position(X0)
=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) )
& ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f22,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),sigma) )
& ( ~ positional_advantage(X0,X1)
| ~ greater(age(X0,X1),sigma) ) )
| ~ fragile_position(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f32,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( ( ( hazard_of_mortality(X0,X1) = very_low
| ~ has_immunity(X0,X1) )
& ( ( ( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod1
| is_aligned(X0,X1)
| ~ positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = mod2
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1) )
& ( hazard_of_mortality(X0,X1) = high
| is_aligned(X0,X1)
| positional_advantage(X0,X1) ) )
| has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f37,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma) ) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(nnf_transformation,[],[f30]) ).
fof(f42,plain,
( ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& fragile_position(sK0)
& ~ has_endowment(sK0)
& zero = age(sK0,sK1)
& greater(sigma,zero)
& smaller_or_equal(age(sK0,sK2),sigma)
& greater(age(sK0,sK3),sigma) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f35]) ).
fof(f45,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f47,plain,
! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f49,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f51,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f54,plain,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X2,X0,X1] :
( is_aligned(X0,X2)
| ~ organization(X0)
| dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f28]) ).
fof(f58,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ greater(age(X0,X2),sigma)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f59,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ greater(age(X0,X1),sigma)
| ~ fragile_position(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
! [X0,X1] :
( ~ fragile_position(X0)
| ~ smaller_or_equal(age(X0,X1),sigma)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f67,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f68,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f14]) ).
fof(f72,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f74,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f76,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f77,plain,
fragile_position(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f78,plain,
organization(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f79,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f82,definition,
( spl4_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f84,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f86,definition,
( spl4_2
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f88,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f89,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f79,f86,f82]) ).
fof(f137,definition,
( spl4_8
<=> smaller(zero,sigma) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f138,plain,
( ~ smaller(zero,sigma)
| spl4_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f139,plain,
( smaller(zero,sigma)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f147,plain,
( smaller_or_equal(zero,sigma)
| ~ spl4_8 ),
inference(resolution,[],[f139,f45]) ).
fof(f148,plain,
! [X0] :
( positional_advantage(sK0,X0)
| ~ smaller_or_equal(age(sK0,X0),sigma) ),
inference(resolution,[],[f61,f77]) ).
fof(f156,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(superposition,[],[f58,f75]) ).
fof(f157,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f156]) ).
fof(f158,plain,
! [X0] :
( dissimilar(sK0,sK1,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(forward_subsumption_resolution,[],[f157,f78]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma)
| age(X0,X1) != zero ),
inference(forward_subsumption_resolution,[],[f59,f54]) ).
fof(f174,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,X0) ),
inference(resolution,[],[f158,f53]) ).
fof(f176,definition,
( spl4_9
<=> is_aligned(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f177,plain,
( is_aligned(sK0,sK1)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f178,plain,
( ~ is_aligned(sK0,sK1)
| spl4_9 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f180,definition,
( spl4_10
<=> ! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f181,plain,
( ! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f182,plain,
( ~ spl4_9
| spl4_10 ),
inference(avatar_split_clause,[],[f174,f180,f176]) ).
fof(f183,plain,
( low != hazard_of_mortality(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ positional_advantage(sK0,sK1)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| spl4_1 ),
inference(superposition,[],[f84,f65]) ).
fof(f184,plain,
( low != hazard_of_mortality(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ positional_advantage(sK0,sK1)
| has_immunity(sK0,sK1)
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f183,f78]) ).
fof(f186,definition,
( spl4_11
<=> has_immunity(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f188,plain,
( has_immunity(sK0,sK1)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f186]) ).
fof(f190,definition,
( spl4_12
<=> positional_advantage(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f192,plain,
( ~ positional_advantage(sK0,sK1)
| spl4_12 ),
inference(avatar_component_clause,[],[f190]) ).
fof(f194,definition,
( spl4_13
<=> low = hazard_of_mortality(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f195,plain,
( low = hazard_of_mortality(sK0,sK2)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f196,plain,
( low != hazard_of_mortality(sK0,sK2)
| spl4_13 ),
inference(avatar_component_clause,[],[f194]) ).
fof(f197,plain,
( spl4_11
| ~ spl4_12
| ~ spl4_9
| ~ spl4_13
| spl4_1 ),
inference(avatar_split_clause,[],[f184,f82,f194,f176,f190,f186]) ).
fof(f202,plain,
( ~ organization(sK0)
| zero != age(sK0,sK1)
| spl4_9 ),
inference(resolution,[],[f178,f57]) ).
fof(f204,plain,
( zero != age(sK0,sK1)
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f202,f78]) ).
fof(f209,plain,
( $false
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f204,f75]) ).
fof(f210,plain,
spl4_9,
inference(avatar_contradiction_clause,[],[f209]) ).
fof(f221,plain,
( ~ smaller_or_equal(age(sK0,sK1),sigma)
| spl4_12 ),
inference(resolution,[],[f192,f148]) ).
fof(f224,plain,
( ~ smaller_or_equal(zero,sigma)
| spl4_12 ),
inference(forward_demodulation,[],[f221,f75]) ).
fof(f230,plain,
( $false
| ~ spl4_8
| spl4_12 ),
inference(forward_subsumption_resolution,[],[f224,f147]) ).
fof(f231,plain,
( ~ spl4_8
| spl4_12 ),
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f233,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl4_11 ),
inference(resolution,[],[f188,f51]) ).
fof(f234,plain,
( has_endowment(sK0)
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f233,f78]) ).
fof(f236,plain,
( $false
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f234,f76]) ).
fof(f237,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f236]) ).
fof(f241,plain,
( low != low
| ~ is_aligned(sK0,sK2)
| ~ positional_advantage(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_13 ),
inference(superposition,[],[f196,f65]) ).
fof(f242,plain,
( ~ is_aligned(sK0,sK2)
| ~ positional_advantage(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_13 ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f243,plain,
( ~ is_aligned(sK0,sK2)
| ~ positional_advantage(sK0,sK2)
| has_immunity(sK0,sK2)
| spl4_13 ),
inference(forward_subsumption_resolution,[],[f242,f78]) ).
fof(f245,definition,
( spl4_17
<=> has_immunity(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f247,plain,
( has_immunity(sK0,sK2)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f249,definition,
( spl4_18
<=> positional_advantage(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f250,plain,
( positional_advantage(sK0,sK2)
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f251,plain,
( ~ positional_advantage(sK0,sK2)
| spl4_18 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f253,definition,
( spl4_19
<=> is_aligned(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f255,plain,
( ~ is_aligned(sK0,sK2)
| spl4_19 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f256,plain,
( spl4_17
| ~ spl4_18
| ~ spl4_19
| spl4_13 ),
inference(avatar_split_clause,[],[f243,f194,f253,f249,f245]) ).
fof(f258,plain,
( ~ greater(sigma,zero)
| spl4_8 ),
inference(resolution,[],[f138,f47]) ).
fof(f259,plain,
( $false
| spl4_8 ),
inference(forward_subsumption_resolution,[],[f258,f74]) ).
fof(f260,plain,
spl4_8,
inference(avatar_contradiction_clause,[],[f259]) ).
fof(f304,plain,
( ~ smaller_or_equal(age(sK0,sK2),sigma)
| spl4_18 ),
inference(resolution,[],[f251,f148]) ).
fof(f307,plain,
( $false
| spl4_18 ),
inference(forward_subsumption_resolution,[],[f304,f73]) ).
fof(f308,plain,
spl4_18,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f326,plain,
( ~ greater(age(sK0,sK2),sigma)
| ~ fragile_position(sK0)
| ~ spl4_18 ),
inference(resolution,[],[f250,f60]) ).
fof(f327,plain,
( ~ greater(age(sK0,sK2),sigma)
| ~ spl4_18 ),
inference(forward_subsumption_resolution,[],[f326,f77]) ).
fof(f343,plain,
( ! [X0] :
( ~ organization(sK0)
| dissimilar(sK0,X0,sK2)
| ~ is_aligned(sK0,X0) )
| spl4_19 ),
inference(resolution,[],[f255,f55]) ).
fof(f347,plain,
( ! [X0] :
( dissimilar(sK0,X0,sK2)
| ~ is_aligned(sK0,X0) )
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f343,f78]) ).
fof(f360,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl4_17 ),
inference(resolution,[],[f247,f51]) ).
fof(f361,plain,
( has_endowment(sK0)
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f360,f78]) ).
fof(f363,plain,
( $false
| ~ spl4_17 ),
inference(forward_subsumption_resolution,[],[f361,f76]) ).
fof(f364,plain,
~ spl4_17,
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f396,plain,
( ~ is_aligned(sK0,sK3)
| ~ spl4_10 ),
inference(resolution,[],[f181,f72]) ).
fof(f405,plain,
( high = hazard_of_mortality(sK0,sK3)
| positional_advantage(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0)
| ~ spl4_10 ),
inference(resolution,[],[f396,f62]) ).
fof(f413,plain,
( high = hazard_of_mortality(sK0,sK3)
| positional_advantage(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f405,f78]) ).
fof(f416,definition,
( spl4_33
<=> has_immunity(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_33])],[avatar_definition]) ).
fof(f418,plain,
( has_immunity(sK0,sK3)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f420,definition,
( spl4_34
<=> positional_advantage(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_34])],[avatar_definition]) ).
fof(f422,plain,
( positional_advantage(sK0,sK3)
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f424,definition,
( spl4_35
<=> high = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_35])],[avatar_definition]) ).
fof(f426,plain,
( high = hazard_of_mortality(sK0,sK3)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f427,plain,
( spl4_33
| spl4_34
| spl4_35
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f413,f180,f424,f420,f416]) ).
fof(f441,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl4_33 ),
inference(resolution,[],[f418,f51]) ).
fof(f442,plain,
( has_endowment(sK0)
| ~ spl4_33 ),
inference(forward_subsumption_resolution,[],[f441,f78]) ).
fof(f444,plain,
( $false
| ~ spl4_33 ),
inference(forward_subsumption_resolution,[],[f442,f76]) ).
fof(f445,plain,
~ spl4_33,
inference(avatar_contradiction_clause,[],[f444]) ).
fof(f525,plain,
( ! [X0] :
( ~ is_aligned(sK0,X0)
| greater(age(sK0,sK2),sigma)
| zero != age(sK0,X0) )
| spl4_19 ),
inference(resolution,[],[f347,f162]) ).
fof(f528,plain,
( ! [X0] :
( zero != age(sK0,X0)
| ~ is_aligned(sK0,X0) )
| ~ spl4_18
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f525,f327]) ).
fof(f568,plain,
( zero != zero
| ~ is_aligned(sK0,sK1)
| ~ spl4_18
| spl4_19 ),
inference(superposition,[],[f528,f75]) ).
fof(f569,plain,
( ~ is_aligned(sK0,sK1)
| ~ spl4_18
| spl4_19 ),
inference(trivial_inequality_removal,[],[f568]) ).
fof(f570,plain,
( $false
| ~ spl4_9
| ~ spl4_18
| spl4_19 ),
inference(forward_subsumption_resolution,[],[f569,f177]) ).
fof(f571,plain,
( ~ spl4_9
| ~ spl4_18
| spl4_19 ),
inference(avatar_contradiction_clause,[],[f570]) ).
fof(f587,plain,
( ~ greater(high,hazard_of_mortality(sK0,sK2))
| spl4_2
| ~ spl4_35 ),
inference(forward_demodulation,[],[f88,f426]) ).
fof(f620,plain,
( ~ greater(age(sK0,sK3),sigma)
| ~ fragile_position(sK0)
| ~ spl4_34 ),
inference(resolution,[],[f422,f60]) ).
fof(f621,plain,
( ~ fragile_position(sK0)
| ~ spl4_34 ),
inference(forward_subsumption_resolution,[],[f620,f72]) ).
fof(f622,plain,
( $false
| ~ spl4_34 ),
inference(forward_subsumption_resolution,[],[f621,f77]) ).
fof(f623,plain,
~ spl4_34,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f627,plain,
( ! [X0] :
( ~ greater(high,X0)
| ~ greater(X0,hazard_of_mortality(sK0,sK2)) )
| spl4_2
| ~ spl4_35 ),
inference(resolution,[],[f587,f49]) ).
fof(f707,plain,
( ! [X0] :
( ~ greater(high,X0)
| ~ greater(X0,low) )
| spl4_2
| ~ spl4_13
| ~ spl4_35 ),
inference(forward_demodulation,[],[f627,f195]) ).
fof(f711,plain,
( ~ greater(mod1,low)
| spl4_2
| ~ spl4_13
| ~ spl4_35 ),
inference(resolution,[],[f707,f67]) ).
fof(f718,plain,
( $false
| spl4_2
| ~ spl4_13
| ~ spl4_35 ),
inference(forward_subsumption_resolution,[],[f711,f68]) ).
fof(f719,plain,
( spl4_2
| ~ spl4_13
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f718]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f89]) ).
cnf(s8,plain,
( ~ spl4_9
| spl4_10 ),
inference(sat_conversion,[],[f182]) ).
cnf(s9,plain,
( spl4_1
| ~ spl4_9
| spl4_11
| ~ spl4_12
| ~ spl4_13 ),
inference(sat_conversion,[],[f197]) ).
cnf(s10,plain,
spl4_9,
inference(sat_conversion,[],[f210]) ).
cnf(s14,plain,
( ~ spl4_8
| spl4_12 ),
inference(sat_conversion,[],[f231]) ).
cnf(s15,plain,
~ spl4_11,
inference(sat_conversion,[],[f237]) ).
cnf(s16,plain,
( spl4_13
| spl4_17
| ~ spl4_18
| ~ spl4_19 ),
inference(sat_conversion,[],[f256]) ).
cnf(s17,plain,
spl4_8,
inference(sat_conversion,[],[f260]) ).
cnf(s24,plain,
spl4_18,
inference(sat_conversion,[],[f308]) ).
cnf(s29,plain,
~ spl4_17,
inference(sat_conversion,[],[f364]) ).
cnf(s31,plain,
( ~ spl4_10
| spl4_33
| spl4_34
| spl4_35 ),
inference(sat_conversion,[],[f427]) ).
cnf(s34,plain,
~ spl4_33,
inference(sat_conversion,[],[f445]) ).
cnf(s42,plain,
( ~ spl4_9
| ~ spl4_18
| spl4_19 ),
inference(sat_conversion,[],[f571]) ).
cnf(s51,plain,
~ spl4_34,
inference(sat_conversion,[],[f623]) ).
cnf(s62,plain,
( spl4_2
| ~ spl4_13
| ~ spl4_35 ),
inference(sat_conversion,[],[f719]) ).
cnf(s63,plain,
( ~ spl4_10
| spl4_35 ),
inference(rat,[],[s31,s51,s34]) ).
cnf(s68,plain,
( spl4_13
| ~ spl4_19 ),
inference(rat,[],[s16,s24,s29]) ).
cnf(s69,plain,
spl4_12,
inference(rat,[],[s14,s17]) ).
cnf(s71,plain,
spl4_19,
inference(rat,[],[s42,s24,s10]) ).
cnf(s72,plain,
spl4_13,
inference(rat,[],[s68,s71]) ).
cnf(s73,plain,
spl4_1,
inference(rat,[],[s9,s72,s69,s15,s10]) ).
cnf(s74,plain,
spl4_10,
inference(rat,[],[s8,s10]) ).
cnf(s75,plain,
spl4_35,
inference(rat,[],[s63,s74]) ).
cnf(s76,plain,
spl4_2,
inference(rat,[],[s62,s72,s75]) ).
cnf(s78,plain,
$false,
inference(rat,[],[s1,s76,s73]) ).
fof(f720,plain,
$false,
inference(avatar_sat_refutation,[],[s78]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT061+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:31:04 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.95/1.32 % (3294545)Detected formulas, will run a generic FOF schedule.
% 2.95/1.32 % (3294553)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1684968244:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.95/1.32 % (3294553)Refutation not found, incomplete strategy
% 2.95/1.32 % (3294553)------------------------------
% 2.95/1.32 % (3294553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.32 % (3294553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.32 % (3294553)CaDiCaL version: 2.1.3
% 2.95/1.32 % (3294553)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.32 % (3294553)Time elapsed: 0.002 s
% 2.95/1.32 % (3294553)Peak memory usage: 88 MB
% 2.95/1.32 % (3294553)Instructions burned: 3 (million)
% 2.95/1.32 % (3294552)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3379986204:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.95/1.32 % (3294550)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3758964531:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.95/1.32 % (3294551)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3710544006:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.95/1.32 % (3294555)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=127959018:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.95/1.32 % (3294556)dis-21_1_sil=8000:lcm=predicate:random_seed=237581508:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.95/1.32 % (3294554)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2178304933:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.95/1.32 % (3294555)First to succeed.
% 2.95/1.32 % (3294555)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3294545"
% 2.95/1.32 % (3294556)Instruction limit reached!
% 2.95/1.32 % (3294556)------------------------------
% 2.95/1.32 % (3294556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.32 % (3294556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.32 % (3294556)CaDiCaL version: 2.1.3
% 2.95/1.32 % (3294556)Termination reason: Instruction limit
% 2.95/1.32 % (3294556)Termination phase: Saturation
% 2.95/1.32 % (3294556)Time elapsed: 0.049 s
% 2.95/1.32 % (3294556)Peak memory usage: 87 MB
% 2.95/1.32 % (3294556)Instructions burned: 129 (million)
% 2.95/1.32 % (3294554)Instruction limit reached!
% 2.95/1.32 % (3294554)------------------------------
% 2.95/1.32 % (3294554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.32 % (3294554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.32 % (3294554)CaDiCaL version: 2.1.3
% 2.95/1.32 % (3294554)Termination reason: Instruction limit
% 2.95/1.32 % (3294554)Termination phase: Saturation
% 2.95/1.32 % (3294554)Time elapsed: 0.071 s
% 2.95/1.32 % (3294554)Peak memory usage: 88 MB
% 2.95/1.32 % (3294554)Instructions burned: 120 (million)
% 2.95/1.32 % (3294553)------------------------------
% 2.95/1.32 % (3294553)------------------------------
% 2.95/1.32 % (3294564)lrs+10_1_sil=8000:sp=occurrence:random_seed=2196742586:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.95/1.32 % (3294564)Also succeeded, but the first one will report.
% 2.95/1.32 % (3294565)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4250502307:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.95/1.32 % (3294565)Refutation not found, incomplete strategy
% 2.95/1.32 % (3294565)------------------------------
% 2.95/1.32 % (3294565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.32 % (3294565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.32 % (3294565)CaDiCaL version: 2.1.3
% 2.95/1.32 % (3294565)Termination reason: Refutation not found, incomplete strategy
% 2.95/1.32 % (3294565)Time elapsed: 0.006 s
% 2.95/1.32 % (3294565)Peak memory usage: 89 MB
% 2.95/1.32 % (3294565)Instructions burned: 6 (million)
% 2.95/1.32 % (3294566)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3103690371:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.95/1.32 % (3294566)Also succeeded, but the first one will report.
% 2.95/1.32 % (3294555)Refutation found. Thanks to Tanya!
% 2.95/1.32 % SZS status Theorem for theBenchmark
% 2.95/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.53 % (3294555)------------------------------
% 3.84/1.53 % (3294555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.53 % (3294555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.53 % (3294555)CaDiCaL version: 2.1.3
% 3.84/1.53 % (3294555)Termination reason: Refutation
% 3.84/1.53 % (3294555)Time elapsed: 0.017 s
% 3.84/1.53 % (3294555)Peak memory usage: 90 MB
% 3.84/1.53 % (3294555)Instructions burned: 20 (million)
% 3.84/1.53 % (3294555)------------------------------
% 3.84/1.53 % (3294555)------------------------------
% 3.84/1.53 % (3294545)Success in time 0.454 s
% 3.84/1.53 % Vampire exiting
%------------------------------------------------------------------------------