%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:02:15 PM UTC 2026
% Result : Theorem 3.35s 1.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 165 ( 30 unt; 7 def)
% Number of atoms : 511 ( 45 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 567 ( 221 ~; 233 |; 82 &)
% ( 16 <=>; 14 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 182 ( 0 sgn 172 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& has_immunity(X0,X2) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(f9,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(f10,axiom,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_2) ).
fof(f11,axiom,
! [X0,X1] :
( ( organization(X0)
& age(X0,X1) = zero )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& is_aligned(X0,X1)
& ~ is_aligned(X0,X2) )
=> greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_14) ).
fof(f13,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& age(X0,X1) = zero )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& ~ has_immunity(X0,X1)
& ~ has_immunity(X0,X2)
& greater(capability(X0,X2),capability(X0,X1)) )
=> greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_16) ).
fof(f15,conjecture,
! [X0,X1,X2,X3,X4] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_8) ).
fof(f16,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma)
& greater(sigma,eta)
& greater(eta,zero) )
=> ( greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
& 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)],[f15]) ).
fof(f17,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( organization(X0)
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f18,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma)
& greater(sigma,eta)
& greater(eta,zero) ),
inference(ennf_transformation,[],[f16]) ).
fof(f19,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ greater(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X3))
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma)
& greater(sigma,eta)
& greater(eta,zero) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f11]) ).
fof(f23,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f25,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| ~ has_immunity(X0,X2) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ! [X1] :
( organization(X0)
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) ) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f27,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f28,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1)) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f34,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f35,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f36,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
( ( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& has_endowment(sK0)
& zero = age(sK0,sK1)
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK3),eta)
& smaller_or_equal(age(sK0,sK3),sigma)
& greater(age(sK0,sK4),sigma)
& greater(sigma,eta)
& greater(eta,zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f19]) ).
fof(f38,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,[],[f21]) ).
fof(f39,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(f40,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,[],[f39]) ).
fof(f41,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,[],[f34]) ).
fof(f42,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,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f44,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f37]) ).
fof(f45,plain,
greater(sigma,eta),
inference(cnf_transformation,[],[f37]) ).
fof(f46,plain,
greater(age(sK0,sK4),sigma),
inference(cnf_transformation,[],[f37]) ).
fof(f47,plain,
smaller_or_equal(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f37]) ).
fof(f48,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f51,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f52,plain,
organization(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f53,plain,
( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f54,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ greater(age(X0,X2),sigma)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f55,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f38]) ).
fof(f56,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f59,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f61,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f63,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f65,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| has_immunity(X0,X1)
| has_immunity(X0,X2)
| ~ greater(capability(X0,X2),capability(X0,X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f66,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f68,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f72,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f74,plain,
! [X2,X0,X1] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f75,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f76,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| ~ organization(X0)
| has_immunity(X0,X1)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f65,f66]) ).
fof(f79,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(forward_subsumption_resolution,[],[f55,f71]) ).
fof(f81,definition,
( spl5_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f82,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f83,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| spl5_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl5_2
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f87,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl5_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl5_3
<=> greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f91,plain,
( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| spl5_3 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f53,f89,f85,f81]) ).
fof(f98,plain,
smaller(zero,eta),
inference(resolution,[],[f76,f44]) ).
fof(f103,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f98,f61]) ).
fof(f111,plain,
( sigma = age(sK0,sK3)
| smaller(age(sK0,sK3),sigma) ),
inference(resolution,[],[f59,f47]) ).
fof(f124,definition,
( spl5_6
<=> smaller(age(sK0,sK3),sigma) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f125,plain,
( ~ smaller(age(sK0,sK3),sigma)
| spl5_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f126,plain,
( smaller(age(sK0,sK3),sigma)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f128,definition,
( spl5_7
<=> sigma = age(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f130,plain,
( sigma = age(sK0,sK3)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f131,plain,
( spl5_6
| spl5_7 ),
inference(avatar_split_clause,[],[f111,f128,f124]) ).
fof(f137,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,eta) ),
inference(resolution,[],[f67,f45]) ).
fof(f139,plain,
( zero != zero
| ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(superposition,[],[f56,f50]) ).
fof(f140,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(trivial_inequality_removal,[],[f139]) ).
fof(f141,plain,
is_aligned(sK0,sK1),
inference(forward_subsumption_resolution,[],[f140,f52]) ).
fof(f142,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f62,f48]) ).
fof(f145,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[],[f142,f51]) ).
fof(f146,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f63,f49]) ).
fof(f147,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(superposition,[],[f63,f50]) ).
fof(f148,plain,
( has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(forward_subsumption_resolution,[],[f147,f103]) ).
fof(f149,plain,
has_immunity(sK0,sK2),
inference(forward_subsumption_resolution,[],[f146,f51]) ).
fof(f150,plain,
has_immunity(sK0,sK1),
inference(forward_subsumption_resolution,[],[f148,f51]) ).
fof(f166,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sK0,sK1,X0)
| greater(age(sK0,X0),sigma) ),
inference(superposition,[],[f79,f50]) ).
fof(f167,plain,
! [X0] :
( greater(age(sK0,X0),sigma)
| ~ dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f166]) ).
fof(f171,plain,
! [X0] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f57,f150]) ).
fof(f172,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f171,f52]) ).
fof(f174,plain,
( greater(sigma,age(sK0,sK3))
| ~ spl5_6 ),
inference(resolution,[],[f126,f75]) ).
fof(f184,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(superposition,[],[f54,f50]) ).
fof(f185,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f184]) ).
fof(f186,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| dissimilar(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f185,f52]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| has_immunity(X0,X1)
| greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ),
inference(resolution,[],[f78,f74]) ).
fof(f192,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2))
| has_immunity(X0,X1)
| ~ organization(X0)
| ~ is_aligned(X0,X2)
| is_aligned(X0,X1) ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f195,plain,
( ~ greater(age(sK0,sK3),sigma)
| ~ spl5_6 ),
inference(resolution,[],[f174,f68]) ).
fof(f203,plain,
greater(age(sK0,sK4),eta),
inference(resolution,[],[f137,f46]) ).
fof(f213,plain,
! [X0] :
( smaller(sigma,age(sK0,X0))
| ~ dissimilar(sK0,sK1,X0) ),
inference(resolution,[],[f167,f76]) ).
fof(f219,plain,
dissimilar(sK0,sK1,sK4),
inference(resolution,[],[f186,f46]) ).
fof(f223,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK4) ),
inference(resolution,[],[f219,f70]) ).
fof(f226,plain,
~ is_aligned(sK0,sK4),
inference(forward_subsumption_resolution,[],[f223,f141]) ).
fof(f250,plain,
( ~ has_immunity(sK0,sK4)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f203,f62]) ).
fof(f256,plain,
~ has_immunity(sK0,sK4),
inference(forward_subsumption_resolution,[],[f250,f51]) ).
fof(f266,plain,
( ~ dissimilar(sK0,sK1,sK3)
| ~ spl5_6 ),
inference(resolution,[],[f195,f167]) ).
fof(f272,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| ~ spl5_6 ),
inference(resolution,[],[f266,f72]) ).
fof(f273,plain,
( is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f272,f52]) ).
fof(f274,plain,
( is_aligned(sK0,sK3)
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f273,f141]) ).
fof(f443,plain,
hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1),
inference(resolution,[],[f172,f149]) ).
fof(f445,plain,
( $false
| spl5_1 ),
inference(forward_subsumption_resolution,[],[f443,f83]) ).
fof(f446,plain,
spl5_1,
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f447,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl5_1
| spl5_2 ),
inference(forward_demodulation,[],[f87,f82]) ).
fof(f472,plain,
( ~ organization(sK0)
| ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3)
| ~ spl5_1
| spl5_2 ),
inference(resolution,[],[f447,f66]) ).
fof(f483,plain,
( ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3)
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f472,f52]) ).
fof(f485,plain,
( has_immunity(sK0,sK3)
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f483,f150]) ).
fof(f487,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f485,f145]) ).
fof(f488,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f487]) ).
fof(f505,plain,
( has_immunity(sK0,sK4)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK3)
| is_aligned(sK0,sK4)
| spl5_3 ),
inference(resolution,[],[f91,f192]) ).
fof(f517,plain,
( ~ organization(sK0)
| ~ is_aligned(sK0,sK3)
| is_aligned(sK0,sK4)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f505,f256]) ).
fof(f519,plain,
( ~ is_aligned(sK0,sK3)
| is_aligned(sK0,sK4)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f517,f52]) ).
fof(f521,plain,
( is_aligned(sK0,sK4)
| spl5_3
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f519,f274]) ).
fof(f531,plain,
( $false
| spl5_3
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f521,f226]) ).
fof(f532,plain,
( spl5_3
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f533,plain,
( ~ is_aligned(sK0,sK3)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f519,f226]) ).
fof(f546,plain,
( ~ smaller(sigma,sigma)
| spl5_6
| ~ spl5_7 ),
inference(superposition,[],[f125,f130]) ).
fof(f554,plain,
( smaller(sigma,sigma)
| ~ dissimilar(sK0,sK1,sK3)
| ~ spl5_7 ),
inference(superposition,[],[f213,f130]) ).
fof(f576,definition,
( spl5_24
<=> dissimilar(sK0,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_24])],[avatar_definition]) ).
fof(f578,plain,
( ~ dissimilar(sK0,sK1,sK3)
| spl5_24 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f586,definition,
( spl5_26
<=> smaller(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[spl5_26])],[avatar_definition]) ).
fof(f589,plain,
( ~ spl5_24
| spl5_26
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f554,f128,f586,f576]) ).
fof(f591,plain,
( ~ spl5_26
| spl5_6
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f546,f128,f124,f586]) ).
fof(f617,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| spl5_24 ),
inference(resolution,[],[f578,f72]) ).
fof(f618,plain,
( is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| spl5_24 ),
inference(forward_subsumption_resolution,[],[f617,f52]) ).
fof(f619,plain,
( ~ is_aligned(sK0,sK1)
| spl5_3
| spl5_24 ),
inference(forward_subsumption_resolution,[],[f618,f533]) ).
fof(f620,plain,
( $false
| spl5_3
| spl5_24 ),
inference(forward_subsumption_resolution,[],[f619,f141]) ).
fof(f621,plain,
( spl5_3
| spl5_24 ),
inference(avatar_contradiction_clause,[],[f620]) ).
cnf(s1,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f92]) ).
cnf(s3,plain,
( spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f131]) ).
cnf(s11,plain,
spl5_1,
inference(sat_conversion,[],[f446]) ).
cnf(s13,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f488]) ).
cnf(s17,plain,
( spl5_3
| ~ spl5_6 ),
inference(sat_conversion,[],[f532]) ).
cnf(s21,plain,
( ~ spl5_7
| ~ spl5_24
| spl5_26 ),
inference(sat_conversion,[],[f589]) ).
cnf(s23,plain,
( spl5_6
| ~ spl5_7
| ~ spl5_26 ),
inference(sat_conversion,[],[f591]) ).
cnf(s26,plain,
( spl5_3
| spl5_24 ),
inference(sat_conversion,[],[f621]) ).
cnf(s27,plain,
spl5_2,
inference(rat,[],[s13,s11]) ).
cnf(s28,plain,
~ spl5_3,
inference(rat,[],[s1,s27,s11]) ).
cnf(s29,plain,
spl5_24,
inference(rat,[],[s26,s28]) ).
cnf(s30,plain,
~ spl5_6,
inference(rat,[],[s17,s28]) ).
cnf(s31,plain,
spl5_7,
inference(rat,[],[s3,s30]) ).
cnf(s33,plain,
~ spl5_26,
inference(rat,[],[s23,s30,s31]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s21,s29,s33,s31]) ).
fof(f622,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT055+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 17:28:52 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.35/1.41 % (439270)Detected formulas, will run a generic FOF schedule.
% 3.35/1.41 % (439281)dis-21_1_sil=8000:lcm=predicate:random_seed=3937628992: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)
% 3.35/1.41 % (439281)Instruction limit reached!
% 3.35/1.41 % (439281)------------------------------
% 3.35/1.41 % (439281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.41 % (439281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.41 % (439281)CaDiCaL version: 2.1.3
% 3.35/1.41 % (439281)Termination reason: Instruction limit
% 3.35/1.41 % (439281)Termination phase: Saturation
% 3.35/1.41 % (439281)Time elapsed: 0.026 s
% 3.35/1.41 % (439281)Peak memory usage: 88 MB
% 3.35/1.41 % (439281)Instructions burned: 130 (million)
% 3.35/1.41 % (439279)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2563576120:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.35/1.41 % (439278)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=608976150:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.35/1.41 % (439276)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=2886696968:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.35/1.41 % (439275)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=4214577691:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.35/1.41 % (439277)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=2863473644:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.35/1.41 % (439280)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2126523958:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.35/1.41 % (439278)Refutation not found, incomplete strategy
% 3.35/1.41 % (439278)------------------------------
% 3.35/1.41 % (439278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.41 % (439278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.41 % (439278)CaDiCaL version: 2.1.3
% 3.35/1.41 % (439278)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.41 % (439278)Time elapsed: 0.004 s
% 3.35/1.41 % (439278)Peak memory usage: 88 MB
% 3.35/1.41 % (439278)Instructions burned: 4 (million)
% 3.35/1.41 % (439280)Instruction limit reached!
% 3.35/1.41 % (439280)------------------------------
% 3.35/1.41 % (439280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.41 % (439280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.41 % (439280)CaDiCaL version: 2.1.3
% 3.35/1.41 % (439280)Termination reason: Instruction limit
% 3.35/1.41 % (439280)Termination phase: Saturation
% 3.35/1.41 % (439280)Time elapsed: 0.058 s
% 3.35/1.41 % (439280)Peak memory usage: 89 MB
% 3.35/1.41 % (439280)Instructions burned: 141 (million)
% 3.35/1.41 % (439279)Instruction limit reached!
% 3.35/1.41 % (439279)------------------------------
% 3.35/1.41 % (439279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.41 % (439279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.41 % (439279)CaDiCaL version: 2.1.3
% 3.35/1.41 % (439279)Termination reason: Instruction limit
% 3.35/1.41 % (439279)Termination phase: Saturation
% 3.35/1.41 % (439279)Time elapsed: 0.071 s
% 3.35/1.41 % (439279)Peak memory usage: 88 MB
% 3.35/1.41 % (439279)Instructions burned: 119 (million)
% 3.35/1.41 % (439289)lrs+10_1_sil=8000:sp=occurrence:random_seed=1718510623:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.35/1.41 % (439289)First to succeed.
% 3.35/1.41 % (439289)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-439270"
% 3.35/1.41 % (439290)lrs+10_1_sil=32000:urr=on:br=off:random_seed=277659933:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.35/1.41 % (439290)Refutation not found, incomplete strategy
% 3.35/1.41 % (439290)------------------------------
% 3.35/1.41 % (439290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.41 % (439290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.41 % (439290)CaDiCaL version: 2.1.3
% 3.35/1.41 % (439290)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.41 % (439290)Time elapsed: 0.003 s
% 3.35/1.41 % (439290)Peak memory usage: 89 MB
% 3.35/1.41 % (439290)Instructions burned: 6 (million)
% 3.35/1.41 % (439291)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2239321539:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.35/1.41 % (439278)------------------------------
% 3.35/1.41 % (439278)------------------------------
% 3.35/1.41 % (439290)------------------------------
% 3.35/1.41 % (439290)------------------------------
% 3.35/1.41 % (439289)Refutation found. Thanks to Tanya!
% 3.35/1.41 % SZS status Theorem for theBenchmark
% 3.35/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.50 % (439289)------------------------------
% 0.17/1.50 % (439289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.50 % (439289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.50 % (439289)CaDiCaL version: 2.1.3
% 0.17/1.50 % (439289)Termination reason: Refutation
% 0.17/1.50 % (439289)Time elapsed: 0.016 s
% 0.17/1.50 % (439289)Peak memory usage: 90 MB
% 0.17/1.50 % (439289)Instructions burned: 21 (million)
% 0.17/1.50 % (439289)------------------------------
% 0.17/1.50 % (439289)------------------------------
% 0.17/1.50 % (439270)Success in time 0.543 s
% 0.17/1.50 % Vampire exiting
%------------------------------------------------------------------------------