%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT054+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 : n007.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 4.40s 1.22s
% Output : Refutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 123 ( 18 unt; 5 def)
% Number of atoms : 369 ( 28 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 412 ( 166 ~; 172 |; 50 &)
% ( 13 <=>; 10 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 148 ( 0 sgn 140 !; 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(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f7,axiom,
! [X0,X1] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& has_immunity(X0,X1)
& ~ has_immunity(X0,X2) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(f9,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(f10,axiom,
! [X0,X1] :
( ( organization(X0)
& age(X0,X1) = zero )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_13) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( organization(X0)
& is_aligned(X0,X1)
& ~ is_aligned(X0,X2) )
=> greater(capability(X0,X1),capability(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_14) ).
fof(f12,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(f13,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/sandbox2/benchmark/theBenchmark.p',assumption_16) ).
fof(f14,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma)
& greater(sigma,zero) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_5) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma)
& greater(sigma,zero) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
=> ( smaller(X0,X1)
| X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f17,plain,
! [X0,X1] :
( smaller(X0,X1)
=> greater(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& organization(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma)
& greater(sigma,zero) ),
inference(ennf_transformation,[],[f15]) ).
fof(f19,plain,
? [X0,X1,X2,X3] :
( ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& organization(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma)
& greater(sigma,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,[],[f12]) ).
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,[],[f10]) ).
fof(f23,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,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,[],[f13]) ).
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(flattening,[],[f26]) ).
fof(f28,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,[],[f8]) ).
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(flattening,[],[f28]) ).
fof(f32,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f34,plain,
! [X0,X1,X2] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f36,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f37,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f39,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
& organization(sK0)
& ~ has_endowment(sK0)
& zero = age(sK0,sK1)
& smaller_or_equal(age(sK0,sK2),sigma)
& greater(age(sK0,sK3),sigma)
& greater(sigma,zero) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f19]) ).
fof(f40,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(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,[],[f35]) ).
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(f44,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f39]) ).
fof(f45,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f39]) ).
fof(f46,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f47,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f48,plain,
organization(sK0),
inference(cnf_transformation,[],[f39]) ).
fof(f49,plain,
~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)),
inference(cnf_transformation,[],[f39]) ).
fof(f50,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ greater(age(X0,X2),sigma)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f51,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f40]) ).
fof(f52,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f54,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,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,[],[f27]) ).
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,[],[f29]) ).
fof(f58,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
! [X2,X0,X1] :
( greater(capability(X0,X1),capability(X0,X2))
| ~ organization(X0)
| ~ is_aligned(X0,X1)
| is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f63,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f65,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f66,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f67,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,[],[f55,f56]) ).
fof(f68,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma) ),
inference(forward_subsumption_resolution,[],[f51,f62]) ).
fof(f103,plain,
( sigma = age(sK0,sK2)
| smaller(age(sK0,sK2),sigma) ),
inference(resolution,[],[f54,f45]) ).
fof(f105,definition,
( spl4_7
<=> smaller(age(sK0,sK2),sigma) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f107,plain,
( smaller(age(sK0,sK2),sigma)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f109,definition,
( spl4_8
<=> sigma = age(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f111,plain,
( sigma = age(sK0,sK2)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f103,f109,f105]) ).
fof(f113,plain,
( greater(sigma,age(sK0,sK2))
| ~ spl4_7 ),
inference(resolution,[],[f107,f66]) ).
fof(f122,plain,
( zero != zero
| ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(superposition,[],[f52,f46]) ).
fof(f123,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(trivial_inequality_removal,[],[f122]) ).
fof(f124,plain,
is_aligned(sK0,sK1),
inference(forward_subsumption_resolution,[],[f123,f48]) ).
fof(f132,plain,
( ~ greater(age(sK0,sK2),sigma)
| ~ spl4_7 ),
inference(resolution,[],[f113,f58]) ).
fof(f139,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sK0,sK1,X0)
| greater(age(sK0,X0),sigma) ),
inference(superposition,[],[f68,f46]) ).
fof(f140,plain,
! [X0] :
( greater(age(sK0,X0),sigma)
| ~ dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f139]) ).
fof(f148,definition,
( spl4_9
<=> has_immunity(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f149,plain,
( ~ has_immunity(sK0,sK3)
| spl4_9 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( has_immunity(sK0,sK3)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f160,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(superposition,[],[f50,f46]) ).
fof(f161,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f160]) ).
fof(f162,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| dissimilar(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f161,f48]) ).
fof(f173,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,[],[f67,f59]) ).
fof(f175,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,[],[f173]) ).
fof(f183,plain,
( ~ dissimilar(sK0,sK1,sK2)
| ~ spl4_7 ),
inference(resolution,[],[f140,f132]) ).
fof(f191,plain,
dissimilar(sK0,sK1,sK3),
inference(resolution,[],[f162,f44]) ).
fof(f195,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK3) ),
inference(resolution,[],[f191,f61]) ).
fof(f198,plain,
~ is_aligned(sK0,sK3),
inference(forward_subsumption_resolution,[],[f195,f124]) ).
fof(f221,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl4_7 ),
inference(resolution,[],[f183,f63]) ).
fof(f222,plain,
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f221,f48]) ).
fof(f223,plain,
( is_aligned(sK0,sK2)
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f222,f124]) ).
fof(f241,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl4_9 ),
inference(resolution,[],[f150,f65]) ).
fof(f242,plain,
( has_endowment(sK0)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f241,f48]) ).
fof(f243,plain,
( $false
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f242,f47]) ).
fof(f244,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f269,plain,
( has_immunity(sK0,sK3)
| ~ organization(sK0)
| ~ is_aligned(sK0,sK2)
| is_aligned(sK0,sK3) ),
inference(resolution,[],[f175,f49]) ).
fof(f278,plain,
( ~ organization(sK0)
| ~ is_aligned(sK0,sK2)
| is_aligned(sK0,sK3)
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f269,f149]) ).
fof(f279,plain,
( ~ is_aligned(sK0,sK2)
| is_aligned(sK0,sK3)
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f278,f48]) ).
fof(f280,plain,
( is_aligned(sK0,sK3)
| ~ spl4_7
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f279,f223]) ).
fof(f281,plain,
( $false
| ~ spl4_7
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f280,f198]) ).
fof(f282,plain,
( ~ spl4_7
| spl4_9 ),
inference(avatar_contradiction_clause,[],[f281]) ).
fof(f283,plain,
( ~ is_aligned(sK0,sK2)
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f279,f198]) ).
fof(f287,plain,
( greater(sigma,sigma)
| ~ dissimilar(sK0,sK1,sK2)
| ~ spl4_8 ),
inference(superposition,[],[f140,f111]) ).
fof(f298,definition,
( spl4_15
<=> dissimilar(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f300,plain,
( ~ dissimilar(sK0,sK1,sK2)
| spl4_15 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f302,definition,
( spl4_16
<=> greater(sigma,sigma) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f304,plain,
( greater(sigma,sigma)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f305,plain,
( ~ spl4_15
| spl4_16
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f287,f109,f302,f298]) ).
fof(f336,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| spl4_15 ),
inference(resolution,[],[f300,f63]) ).
fof(f337,plain,
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| spl4_15 ),
inference(forward_subsumption_resolution,[],[f336,f48]) ).
fof(f338,plain,
( ~ is_aligned(sK0,sK1)
| spl4_9
| spl4_15 ),
inference(forward_subsumption_resolution,[],[f337,f283]) ).
fof(f339,plain,
( $false
| spl4_9
| spl4_15 ),
inference(forward_subsumption_resolution,[],[f338,f124]) ).
fof(f340,plain,
( spl4_9
| spl4_15 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f345,plain,
( ~ greater(sigma,sigma)
| ~ spl4_16 ),
inference(resolution,[],[f304,f58]) ).
fof(f346,plain,
( $false
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f345,f304]) ).
fof(f347,plain,
~ spl4_16,
inference(avatar_contradiction_clause,[],[f346]) ).
cnf(s4,plain,
( spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f112]) ).
cnf(s9,plain,
~ spl4_9,
inference(sat_conversion,[],[f244]) ).
cnf(s11,plain,
( ~ spl4_7
| spl4_9 ),
inference(sat_conversion,[],[f282]) ).
cnf(s13,plain,
( ~ spl4_8
| ~ spl4_15
| spl4_16 ),
inference(sat_conversion,[],[f305]) ).
cnf(s18,plain,
( spl4_9
| spl4_15 ),
inference(sat_conversion,[],[f340]) ).
cnf(s19,plain,
~ spl4_16,
inference(sat_conversion,[],[f347]) ).
cnf(s20,plain,
( ~ spl4_8
| ~ spl4_15 ),
inference(rat,[],[s13,s19]) ).
cnf(s21,plain,
spl4_15,
inference(rat,[],[s18,s9]) ).
cnf(s22,plain,
~ spl4_7,
inference(rat,[],[s11,s9]) ).
cnf(s23,plain,
~ spl4_8,
inference(rat,[],[s20,s21]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s4,s23,s22]) ).
fof(f348,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT054+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 17:27:10 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 4.40/1.22 % (1678988)Detected formulas, will run a generic FOF schedule.
% 4.40/1.22 % (1678994)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=3563617869:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.40/1.22 % (1678996)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3587315024:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.40/1.22 % (1678996)Refutation not found, incomplete strategy
% 4.40/1.22 % (1678996)------------------------------
% 4.40/1.22 % (1678996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.22 % (1678996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.22 % (1678996)CaDiCaL version: 2.1.3
% 4.40/1.22 % (1678996)Termination reason: Refutation not found, incomplete strategy
% 4.40/1.22 % (1678996)Time elapsed: 0.002 s
% 4.40/1.22 % (1678996)Peak memory usage: 88 MB
% 4.40/1.22 % (1678996)Instructions burned: 1 (million)
% 4.40/1.22 % (1678993)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=4139221518:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.40/1.22 % (1678995)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=3678413456:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.40/1.22 % (1678998)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3885633132:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.40/1.22 % (1678997)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1403187883:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.40/1.22 % (1678999)dis-21_1_sil=8000:lcm=predicate:random_seed=1859428116: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)
% 4.40/1.22 % (1678997)Instruction limit reached!
% 4.40/1.22 % (1678997)------------------------------
% 4.40/1.22 % (1678997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.22 % (1678997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.22 % (1678997)CaDiCaL version: 2.1.3
% 4.40/1.22 % (1678997)Termination reason: Instruction limit
% 4.40/1.22 % (1678997)Termination phase: Saturation
% 4.40/1.22 % (1678997)Time elapsed: 0.069 s
% 4.40/1.22 % (1678997)Peak memory usage: 88 MB
% 4.40/1.22 % (1678997)Instructions burned: 119 (million)
% 4.40/1.22 % (1678999)Instruction limit reached!
% 4.40/1.22 % (1678999)------------------------------
% 4.40/1.22 % (1678999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.22 % (1678999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.22 % (1678999)CaDiCaL version: 2.1.3
% 4.40/1.22 % (1678999)Termination reason: Instruction limit
% 4.40/1.22 % (1678999)Termination phase: Saturation
% 4.40/1.22 % (1678999)Time elapsed: 0.083 s
% 4.40/1.22 % (1678999)Peak memory usage: 89 MB
% 4.40/1.22 % (1678999)Instructions burned: 130 (million)
% 4.40/1.22 % (1678998)Instruction limit reached!
% 4.40/1.22 % (1678998)------------------------------
% 4.40/1.22 % (1678998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.22 % (1678998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.22 % (1678998)CaDiCaL version: 2.1.3
% 4.40/1.22 % (1678998)Termination reason: Instruction limit
% 4.40/1.22 % (1678998)Termination phase: Saturation
% 4.40/1.22 % (1678998)Time elapsed: 0.092 s
% 4.40/1.22 % (1678998)Peak memory usage: 89 MB
% 4.40/1.22 % (1678998)Instructions burned: 140 (million)
% 4.40/1.22 % (1679007)lrs+10_1_sil=8000:sp=occurrence:random_seed=2706756109:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.40/1.22 % (1679007)First to succeed.
% 4.40/1.22 % (1679007)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1678988"
% 4.40/1.22 % (1679009)lrs+1011_1_sil=32000:sp=occurrence:random_seed=492883879:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.40/1.22 % (1679008)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4152244827:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.40/1.22 % (1679008)Refutation not found, incomplete strategy
% 4.40/1.22 % (1679008)------------------------------
% 4.40/1.22 % (1679008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.40/1.22 % (1679008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.40/1.22 % (1679008)CaDiCaL version: 2.1.3
% 4.40/1.22 % (1679008)Termination reason: Refutation not found, incomplete strategy
% 4.40/1.22 % (1679008)Time elapsed: 0.004 s
% 4.40/1.22 % (1679008)Peak memory usage: 89 MB
% 4.40/1.22 % (1679008)Instructions burned: 5 (million)
% 4.40/1.22 % (1678996)------------------------------
% 4.40/1.22 % (1678996)------------------------------
% 4.40/1.22 % (1679009)Also succeeded, but the first one will report.
% 4.40/1.22 % (1678994)Also succeeded, but the first one will report.
% 4.40/1.22 % (1679013)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=311440294:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.40/1.22 % (1679013)Also succeeded, but the first one will report.
% 4.40/1.22 % (1679008)------------------------------
% 4.40/1.22 % (1679008)------------------------------
% 4.40/1.22 % (1679007)Refutation found. Thanks to Tanya!
% 4.40/1.22 % SZS status Theorem for theBenchmark
% 4.40/1.22 % SZS output start Proof for theBenchmark
% See solution above
% 4.77/1.42 % (1679007)------------------------------
% 4.77/1.42 % (1679007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.77/1.42 % (1679007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.77/1.42 % (1679007)CaDiCaL version: 2.1.3
% 4.77/1.42 % (1679007)Termination reason: Refutation
% 4.77/1.42 % (1679007)Time elapsed: 0.010 s
% 4.77/1.42 % (1679007)Peak memory usage: 90 MB
% 4.77/1.42 % (1679007)Instructions burned: 12 (million)
% 4.77/1.42 % (1679007)------------------------------
% 4.77/1.42 % (1679007)------------------------------
% 4.77/1.42 % (1678988)Success in time 0.618 s
% 4.77/1.42 % Vampire exiting
%------------------------------------------------------------------------------