%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n010.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 12:02:44 PM UTC 2026
% Result : Theorem 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 20
% Syntax : Number of formulae : 163 ( 30 unt; 7 def)
% Number of atoms : 507 ( 44 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 564 ( 220 ~; 231 |; 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/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_strict) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MGT001+0.ax',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] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f19,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f20,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f19]) ).
fof(f21,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(f22,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(f23,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,[],[f22]) ).
fof(f24,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(f25,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,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f27,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f11]) ).
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(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f31]) ).
fof(f33,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(f34,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,[],[f33]) ).
fof(f35,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(f36,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,[],[f35]) ).
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(nnf_transformation,[],[f1]) ).
fof(f38,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,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
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(nnf_transformation,[],[f26]) ).
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(flattening,[],[f40]) ).
fof(f42,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,[],[f32]) ).
fof(f43,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)],[f36]) ).
fof(f44,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f46,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f47,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f48,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f49,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f50,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f20]) ).
fof(f52,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f53,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f55,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,[],[f23]) ).
fof(f56,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,[],[f25]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f41]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f62,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f63,plain,
! [X2,X0,X1] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f64,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ greater(age(X0,X2),sigma)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f65,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f42]) ).
fof(f66,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,[],[f34]) ).
fof(f67,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f43]) ).
fof(f68,plain,
greater(sigma,eta),
inference(cnf_transformation,[],[f43]) ).
fof(f69,plain,
greater(age(sK0,sK4),sigma),
inference(cnf_transformation,[],[f43]) ).
fof(f70,plain,
smaller_or_equal(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f43]) ).
fof(f71,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f43]) ).
fof(f72,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f43]) ).
fof(f73,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f43]) ).
fof(f74,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f75,plain,
organization(sK0),
inference(cnf_transformation,[],[f43]) ).
fof(f76,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,[],[f43]) ).
fof(f79,definition,
( spl5_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f80,plain,
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f83,definition,
( spl5_2
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f85,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl5_2 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,definition,
( spl5_3
<=> greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3)) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f89,plain,
( ~ greater(hazard_of_mortality(sK0,sK4),hazard_of_mortality(sK0,sK3))
| spl5_3 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f90,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f76,f87,f83,f79]) ).
fof(f92,plain,
smaller(zero,eta),
inference(resolution,[],[f48,f67]) ).
fof(f101,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f92,f46]) ).
fof(f104,plain,
( sigma = age(sK0,sK3)
| smaller(age(sK0,sK3),sigma) ),
inference(resolution,[],[f44,f70]) ).
fof(f117,definition,
( spl5_6
<=> smaller(age(sK0,sK3),sigma) ),
introduced(definition,[new_symbols(definition,[spl5_6])],[avatar_definition]) ).
fof(f118,plain,
( ~ smaller(age(sK0,sK3),sigma)
| spl5_6 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f119,plain,
( smaller(age(sK0,sK3),sigma)
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f121,definition,
( spl5_7
<=> sigma = age(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_7])],[avatar_definition]) ).
fof(f123,plain,
( sigma = age(sK0,sK3)
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f124,plain,
( spl5_6
| spl5_7 ),
inference(avatar_split_clause,[],[f104,f121,f117]) ).
fof(f126,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,eta) ),
inference(resolution,[],[f50,f68]) ).
fof(f135,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f52,f71]) ).
fof(f138,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[],[f135,f74]) ).
fof(f139,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f53,f72]) ).
fof(f140,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(superposition,[],[f53,f73]) ).
fof(f141,plain,
( has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(forward_subsumption_resolution,[],[f140,f101]) ).
fof(f142,plain,
has_immunity(sK0,sK2),
inference(forward_subsumption_resolution,[],[f139,f74]) ).
fof(f143,plain,
has_immunity(sK0,sK1),
inference(forward_subsumption_resolution,[],[f141,f74]) ).
fof(f145,plain,
( zero != zero
| ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(superposition,[],[f62,f73]) ).
fof(f146,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(trivial_inequality_removal,[],[f145]) ).
fof(f147,plain,
is_aligned(sK0,sK1),
inference(forward_subsumption_resolution,[],[f146,f75]) ).
fof(f163,plain,
! [X0] :
( ~ organization(sK0)
| ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f55,f143]) ).
fof(f164,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f163,f75]) ).
fof(f176,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(superposition,[],[f64,f73]) ).
fof(f177,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f176]) ).
fof(f178,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| dissimilar(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f177,f75]) ).
fof(f179,plain,
( greater(sigma,age(sK0,sK3))
| ~ spl5_6 ),
inference(resolution,[],[f119,f47]) ).
fof(f181,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(forward_subsumption_resolution,[],[f65,f59]) ).
fof(f183,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sK0,sK1,X0)
| greater(age(sK0,X0),sigma) ),
inference(superposition,[],[f181,f73]) ).
fof(f184,plain,
! [X0] :
( greater(age(sK0,X0),sigma)
| ~ dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f183]) ).
fof(f186,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,[],[f66,f56]) ).
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,[],[f186,f63]) ).
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(f194,plain,
( ~ greater(age(sK0,sK3),sigma)
| ~ spl5_6 ),
inference(resolution,[],[f179,f49]) ).
fof(f203,plain,
greater(age(sK0,sK4),eta),
inference(resolution,[],[f126,f69]) ).
fof(f220,plain,
dissimilar(sK0,sK1,sK4),
inference(resolution,[],[f178,f69]) ).
fof(f228,plain,
! [X0] :
( smaller(sigma,age(sK0,X0))
| ~ dissimilar(sK0,sK1,X0) ),
inference(resolution,[],[f184,f48]) ).
fof(f231,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK4) ),
inference(resolution,[],[f220,f58]) ).
fof(f234,plain,
~ is_aligned(sK0,sK4),
inference(forward_subsumption_resolution,[],[f231,f147]) ).
fof(f264,plain,
( ~ has_immunity(sK0,sK4)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f203,f52]) ).
fof(f270,plain,
~ has_immunity(sK0,sK4),
inference(forward_subsumption_resolution,[],[f264,f74]) ).
fof(f279,plain,
( ~ dissimilar(sK0,sK1,sK3)
| ~ spl5_6 ),
inference(resolution,[],[f194,f184]) ).
fof(f285,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| ~ spl5_6 ),
inference(resolution,[],[f279,f60]) ).
fof(f286,plain,
( is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f285,f75]) ).
fof(f287,plain,
( is_aligned(sK0,sK3)
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f286,f147]) ).
fof(f514,plain,
hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1),
inference(resolution,[],[f164,f142]) ).
fof(f518,plain,
spl5_1,
inference(avatar_split_clause,[],[f514,f79]) ).
fof(f541,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl5_1
| spl5_2 ),
inference(forward_demodulation,[],[f85,f80]) ).
fof(f546,plain,
( ~ organization(sK0)
| ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3)
| ~ spl5_1
| spl5_2 ),
inference(resolution,[],[f541,f56]) ).
fof(f557,plain,
( ~ has_immunity(sK0,sK1)
| has_immunity(sK0,sK3)
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f546,f75]) ).
fof(f559,plain,
( has_immunity(sK0,sK3)
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f557,f143]) ).
fof(f561,plain,
( $false
| ~ spl5_1
| spl5_2 ),
inference(forward_subsumption_resolution,[],[f559,f138]) ).
fof(f562,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_contradiction_clause,[],[f561]) ).
fof(f614,plain,
( has_immunity(sK0,sK4)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK3)
| is_aligned(sK0,sK4)
| spl5_3 ),
inference(resolution,[],[f89,f192]) ).
fof(f626,plain,
( ~ organization(sK0)
| ~ is_aligned(sK0,sK3)
| is_aligned(sK0,sK4)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f614,f270]) ).
fof(f628,plain,
( ~ is_aligned(sK0,sK3)
| is_aligned(sK0,sK4)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f626,f75]) ).
fof(f630,plain,
( is_aligned(sK0,sK4)
| spl5_3
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f628,f287]) ).
fof(f640,plain,
( $false
| spl5_3
| ~ spl5_6 ),
inference(forward_subsumption_resolution,[],[f630,f234]) ).
fof(f641,plain,
( spl5_3
| ~ spl5_6 ),
inference(avatar_contradiction_clause,[],[f640]) ).
fof(f642,plain,
( ~ is_aligned(sK0,sK3)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f628,f234]) ).
fof(f661,plain,
( ~ smaller(sigma,sigma)
| spl5_6
| ~ spl5_7 ),
inference(superposition,[],[f118,f123]) ).
fof(f667,plain,
( smaller(sigma,sigma)
| ~ dissimilar(sK0,sK1,sK3)
| ~ spl5_7 ),
inference(superposition,[],[f228,f123]) ).
fof(f686,definition,
( spl5_36
<=> dissimilar(sK0,sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl5_36])],[avatar_definition]) ).
fof(f687,plain,
( ~ dissimilar(sK0,sK1,sK3)
| spl5_36 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f693,definition,
( spl5_37
<=> smaller(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[spl5_37])],[avatar_definition]) ).
fof(f696,plain,
( ~ spl5_36
| spl5_37
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f667,f121,f693,f686]) ).
fof(f697,plain,
( ~ spl5_37
| spl5_6
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f661,f121,f117,f693]) ).
fof(f727,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| spl5_36 ),
inference(resolution,[],[f687,f60]) ).
fof(f728,plain,
( is_aligned(sK0,sK3)
| ~ is_aligned(sK0,sK1)
| spl5_36 ),
inference(forward_subsumption_resolution,[],[f727,f75]) ).
fof(f729,plain,
( ~ is_aligned(sK0,sK1)
| spl5_3
| spl5_36 ),
inference(forward_subsumption_resolution,[],[f728,f642]) ).
fof(f730,plain,
( $false
| spl5_3
| spl5_36 ),
inference(forward_subsumption_resolution,[],[f729,f147]) ).
fof(f731,plain,
( spl5_3
| spl5_36 ),
inference(avatar_contradiction_clause,[],[f730]) ).
cnf(s1,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f90]) ).
cnf(s3,plain,
( spl5_6
| spl5_7 ),
inference(sat_conversion,[],[f124]) ).
cnf(s34,plain,
spl5_1,
inference(sat_conversion,[],[f518]) ).
cnf(s37,plain,
( ~ spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f562]) ).
cnf(s48,plain,
( spl5_3
| ~ spl5_6 ),
inference(sat_conversion,[],[f641]) ).
cnf(s55,plain,
( ~ spl5_7
| ~ spl5_36
| spl5_37 ),
inference(sat_conversion,[],[f696]) ).
cnf(s56,plain,
( spl5_6
| ~ spl5_7
| ~ spl5_37 ),
inference(sat_conversion,[],[f697]) ).
cnf(s61,plain,
( spl5_3
| spl5_36 ),
inference(sat_conversion,[],[f731]) ).
cnf(s62,plain,
spl5_2,
inference(rat,[],[s37,s34]) ).
cnf(s65,plain,
~ spl5_3,
inference(rat,[],[s1,s62,s34]) ).
cnf(s66,plain,
spl5_36,
inference(rat,[],[s61,s65]) ).
cnf(s67,plain,
~ spl5_6,
inference(rat,[],[s48,s65]) ).
cnf(s68,plain,
spl5_7,
inference(rat,[],[s3,s67]) ).
cnf(s70,plain,
~ spl5_37,
inference(rat,[],[s56,s67,s68]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s55,s66,s70,s68]) ).
fof(f732,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % 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 SAT
% 0.12/0.38 % Computer : n010.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
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Sun Sep 27 17:29:47 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 Running first-order model finding
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.46 % (1189048)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (1189058)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1477998061:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.46 % (1189053)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1592432657_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.46 % (1189057)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1910777696:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.46 % (1189059)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=169664953:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.46 % (1189055)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3671181081:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.46 % (1189056)dis+10_1_sil=32000:sp=arity:random_seed=2710293488:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.46 % TRYING [1]
% 0.13/0.46 % TRYING [2]
% 0.13/0.46 % (1189054)% WARNING: option uhcvi not known.
% 0.13/0.46 % TRYING [3]
% 0.13/0.46 % TRYING [4]
% 0.13/0.46 % (1189054)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=787298984:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.46 % TRYING [5]
% 0.13/0.46 % (1189056) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1189048-1189056"...
% 0.13/0.46 % (1189056)...printing done.
% 0.13/0.46 % (1189056)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Theorem for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.47 % (1189056)------------------------------
% 0.13/0.47 % (1189056)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.47 % (1189056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.47 % (1189056)CaDiCaL version: 2.1.3
% 0.13/0.47 % (1189056)Termination reason: Refutation
% 0.13/0.47 % (1189056)Time elapsed: 0.016 s
% 0.13/0.47 % (1189056)Peak memory usage: 12 MB
% 0.13/0.47 % (1189056)Instructions burned: 22 (million)
% 0.13/0.47 % (1189048)Success in time 0.053 s
% 0.13/0.47 % Vampire exiting
%------------------------------------------------------------------------------