%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT065+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 : n006.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 12:02:18 PM UTC 2026
% Result : Theorem 2.66s 1.31s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 28
% Syntax : Number of formulae : 178 ( 39 unt; 12 def)
% Number of atoms : 572 ( 73 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 610 ( 216 ~; 238 |; 116 &)
% ( 21 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 13 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn 124 !; 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(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(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
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/sandbox2/benchmark/theBenchmark.p',definition_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,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(f12,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a) ).
fof(f13,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(f14,axiom,
greater(low,very_low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18c) ).
fof(f15,axiom,
greater(high,mod2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18d) ).
fof(f16,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).
fof(f17,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& ( robust_position(X0)
| fragile_position(X0) )
& has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(eta,zero)
& smaller_or_equal(age(X0,X2),sigma)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),eta) )
=> ( 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_11) ).
fof(f18,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& ( robust_position(X0)
| fragile_position(X0) )
& has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(eta,zero)
& smaller_or_equal(age(X0,X2),sigma)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),eta) )
=> ( 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)],[f17]) ).
fof(f19,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(f20,plain,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(eta,zero)
& smaller_or_equal(age(X0,X2),sigma)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),eta) )
=> ( greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
inference(pure_predicate_removal,[],[f18]) ).
fof(f21,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
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] :
( 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,[],[f19]) ).
fof(f25,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f26,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f28]) ).
fof(f30,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,[],[f11]) ).
fof(f31,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,[],[f30]) ).
fof(f32,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)
& has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(eta,zero)
& smaller_or_equal(age(X0,X2),sigma)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),eta) ),
inference(ennf_transformation,[],[f20]) ).
fof(f33,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)
& has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(eta,zero)
& smaller_or_equal(age(X0,X2),sigma)
& smaller_or_equal(age(X0,X2),tau)
& smaller_or_equal(age(X0,X2),eta)
& greater(age(X0,X3),sigma)
& greater(age(X0,X3),tau)
& greater(age(X0,X3),eta) ),
inference(flattening,[],[f32]) ).
fof(f34,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(f35,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,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f37,plain,
! [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,[],[f25]) ).
fof(f38,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,[],[f37]) ).
fof(f39,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,[],[f29]) ).
fof(f40,plain,
( ( ~ 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)
& greater(sigma,zero)
& greater(tau,zero)
& greater(eta,zero)
& smaller_or_equal(age(sK0,sK2),sigma)
& smaller_or_equal(age(sK0,sK2),tau)
& smaller_or_equal(age(sK0,sK2),eta)
& greater(age(sK0,sK3),sigma)
& greater(age(sK0,sK3),tau)
& greater(age(sK0,sK3),eta) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f33]) ).
fof(f43,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f44,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f45,plain,
! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f46,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f48,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f49,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X0,X1] :
( ~ has_endowment(X0)
| ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f57,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f27]) ).
fof(f58,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ greater(age(X0,X2),sigma)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f60,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f64,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = very_low
| ~ organization(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f65,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f12]) ).
fof(f66,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f13]) ).
fof(f67,plain,
greater(low,very_low),
inference(cnf_transformation,[],[f14]) ).
fof(f68,plain,
greater(high,mod2),
inference(cnf_transformation,[],[f15]) ).
fof(f69,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f16]) ).
fof(f70,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f40]) ).
fof(f72,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f40]) ).
fof(f73,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f40]) ).
fof(f76,plain,
greater(eta,zero),
inference(cnf_transformation,[],[f40]) ).
fof(f79,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f80,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f81,plain,
organization(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f82,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,[],[f40]) ).
fof(f85,definition,
( spl4_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f87,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl4_2
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f91,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f92,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f82,f89,f85]) ).
fof(f93,plain,
! [X0,X1] :
( smaller_or_equal(X1,X0)
| ~ greater(X0,X1) ),
inference(resolution,[],[f45,f43]) ).
fof(f101,plain,
~ greater(low,mod1),
inference(resolution,[],[f46,f66]) ).
fof(f102,plain,
~ greater(low,mod2),
inference(resolution,[],[f46,f69]) ).
fof(f152,plain,
! [X0] :
( ~ smaller_or_equal(age(sK0,X0),eta)
| has_immunity(sK0,X0) ),
inference(resolution,[],[f50,f80]) ).
fof(f171,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(superposition,[],[f58,f79]) ).
fof(f172,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f171]) ).
fof(f173,plain,
! [X0] :
( dissimilar(sK0,sK1,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(forward_subsumption_resolution,[],[f172,f81]) ).
fof(f204,definition,
( spl4_15
<=> has_immunity(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f206,plain,
( has_immunity(sK0,sK1)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f212,definition,
( spl4_17
<=> is_aligned(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f214,plain,
( ~ is_aligned(sK0,sK1)
| spl4_17 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f234,plain,
( very_low = hazard_of_mortality(sK0,sK1)
| ~ organization(sK0)
| ~ spl4_15 ),
inference(resolution,[],[f206,f64]) ).
fof(f237,plain,
( very_low = hazard_of_mortality(sK0,sK1)
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f234,f81]) ).
fof(f240,plain,
( very_low != hazard_of_mortality(sK0,sK2)
| spl4_1
| ~ spl4_15 ),
inference(superposition,[],[f87,f237]) ).
fof(f242,plain,
has_immunity(sK0,sK2),
inference(resolution,[],[f152,f73]) ).
fof(f243,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1) ),
inference(superposition,[],[f152,f79]) ).
fof(f244,plain,
( very_low = hazard_of_mortality(sK0,sK2)
| ~ organization(sK0) ),
inference(resolution,[],[f242,f64]) ).
fof(f247,plain,
very_low = hazard_of_mortality(sK0,sK2),
inference(forward_subsumption_resolution,[],[f244,f81]) ).
fof(f249,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,X0) ),
inference(resolution,[],[f173,f53]) ).
fof(f251,definition,
( spl4_21
<=> ! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f252,plain,
( ! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ is_aligned(sK0,X0) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f253,plain,
( ~ spl4_17
| spl4_21 ),
inference(avatar_split_clause,[],[f249,f251,f212]) ).
fof(f257,plain,
( ~ organization(sK0)
| zero != age(sK0,sK1)
| spl4_17 ),
inference(resolution,[],[f214,f57]) ).
fof(f259,plain,
( zero != age(sK0,sK1)
| spl4_17 ),
inference(forward_subsumption_resolution,[],[f257,f81]) ).
fof(f262,plain,
( $false
| spl4_17 ),
inference(forward_subsumption_resolution,[],[f259,f79]) ).
fof(f263,plain,
spl4_17,
inference(avatar_contradiction_clause,[],[f262]) ).
fof(f271,plain,
( $false
| spl4_1
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f247,f240]) ).
fof(f272,plain,
( spl4_1
| ~ spl4_15 ),
inference(avatar_contradiction_clause,[],[f271]) ).
fof(f274,definition,
( spl4_22
<=> smaller_or_equal(zero,eta) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f276,plain,
( ~ smaller_or_equal(zero,eta)
| spl4_22 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f277,plain,
( spl4_15
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f243,f274,f204]) ).
fof(f280,plain,
! [X0] :
( ~ greater(low,X0)
| ~ greater(X0,mod2) ),
inference(resolution,[],[f102,f47]) ).
fof(f322,plain,
( ~ greater(eta,zero)
| spl4_22 ),
inference(resolution,[],[f93,f276]) ).
fof(f328,plain,
( $false
| spl4_22 ),
inference(forward_subsumption_resolution,[],[f322,f76]) ).
fof(f329,plain,
spl4_22,
inference(avatar_contradiction_clause,[],[f328]) ).
fof(f331,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),very_low)
| spl4_2 ),
inference(forward_demodulation,[],[f91,f247]) ).
fof(f339,plain,
( ! [X0] :
( ~ greater(hazard_of_mortality(sK0,sK3),X0)
| ~ greater(X0,very_low) )
| spl4_2 ),
inference(resolution,[],[f331,f47]) ).
fof(f345,definition,
( spl4_27
<=> has_immunity(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_27])],[avatar_definition]) ).
fof(f346,plain,
( ~ has_immunity(sK0,sK3)
| spl4_27 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f347,plain,
( has_immunity(sK0,sK3)
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f349,definition,
( spl4_28
<=> positional_advantage(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_28])],[avatar_definition]) ).
fof(f350,plain,
( positional_advantage(sK0,sK3)
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f351,plain,
( ~ positional_advantage(sK0,sK3)
| spl4_28 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f353,definition,
( spl4_29
<=> is_aligned(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_29])],[avatar_definition]) ).
fof(f355,plain,
( ~ is_aligned(sK0,sK3)
| spl4_29 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f362,definition,
( spl4_30
<=> high = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_30])],[avatar_definition]) ).
fof(f364,plain,
( high = hazard_of_mortality(sK0,sK3)
| ~ spl4_30 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f372,plain,
( ~ greater(age(sK0,sK3),eta)
| ~ has_endowment(sK0)
| ~ spl4_27 ),
inference(resolution,[],[f347,f49]) ).
fof(f373,plain,
( ~ has_endowment(sK0)
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f372,f70]) ).
fof(f375,plain,
( $false
| ~ spl4_27 ),
inference(forward_subsumption_resolution,[],[f373,f80]) ).
fof(f376,plain,
~ spl4_27,
inference(avatar_contradiction_clause,[],[f375]) ).
fof(f407,plain,
( ! [X0] :
( ~ greater(X0,very_low)
| ~ smaller(X0,hazard_of_mortality(sK0,sK3)) )
| spl4_2 ),
inference(resolution,[],[f339,f44]) ).
fof(f459,definition,
( spl4_35
<=> mod1 = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_35])],[avatar_definition]) ).
fof(f461,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f464,plain,
( is_aligned(sK0,sK3)
| high = hazard_of_mortality(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0)
| spl4_28 ),
inference(resolution,[],[f351,f60]) ).
fof(f510,definition,
( spl4_37
<=> low = high ),
introduced(definition,[new_symbols(definition,[spl4_37])],[avatar_definition]) ).
fof(f511,plain,
( low != high
| spl4_37 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f512,plain,
( low = high
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f523,plain,
( ~ is_aligned(sK0,sK3)
| ~ spl4_21 ),
inference(resolution,[],[f252,f72]) ).
fof(f647,plain,
( ! [X0] :
( ~ greater(X0,very_low)
| ~ smaller(X0,high) )
| spl4_2
| ~ spl4_30 ),
inference(forward_demodulation,[],[f407,f364]) ).
fof(f666,plain,
( ~ smaller(low,high)
| spl4_2
| ~ spl4_30 ),
inference(resolution,[],[f647,f67]) ).
fof(f688,plain,
( low = high
| greater(low,high)
| spl4_2
| ~ spl4_30 ),
inference(resolution,[],[f666,f48]) ).
fof(f691,plain,
( greater(low,high)
| spl4_2
| ~ spl4_30
| spl4_37 ),
inference(forward_subsumption_resolution,[],[f688,f511]) ).
fof(f708,plain,
( ~ greater(high,mod2)
| spl4_2
| ~ spl4_30
| spl4_37 ),
inference(resolution,[],[f691,f280]) ).
fof(f714,plain,
( $false
| spl4_2
| ~ spl4_30
| spl4_37 ),
inference(forward_subsumption_resolution,[],[f708,f68]) ).
fof(f715,plain,
( spl4_2
| ~ spl4_30
| spl4_37 ),
inference(avatar_contradiction_clause,[],[f714]) ).
fof(f722,plain,
( greater(low,mod1)
| ~ spl4_37 ),
inference(superposition,[],[f65,f512]) ).
fof(f747,plain,
( $false
| ~ spl4_37 ),
inference(forward_subsumption_resolution,[],[f722,f101]) ).
fof(f748,plain,
~ spl4_37,
inference(avatar_contradiction_clause,[],[f747]) ).
fof(f750,plain,
( is_aligned(sK0,sK3)
| high = hazard_of_mortality(sK0,sK3)
| ~ organization(sK0)
| spl4_27
| spl4_28 ),
inference(forward_subsumption_resolution,[],[f464,f346]) ).
fof(f752,plain,
( ~ spl4_29
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f523,f251,f353]) ).
fof(f767,plain,
( is_aligned(sK0,sK3)
| high = hazard_of_mortality(sK0,sK3)
| spl4_27
| spl4_28 ),
inference(forward_subsumption_resolution,[],[f750,f81]) ).
fof(f769,plain,
( spl4_30
| spl4_29
| spl4_27
| spl4_28 ),
inference(avatar_split_clause,[],[f767,f349,f345,f353,f362]) ).
fof(f784,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| ~ positional_advantage(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0)
| spl4_29 ),
inference(resolution,[],[f355,f62]) ).
fof(f792,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0)
| ~ spl4_28
| spl4_29 ),
inference(forward_subsumption_resolution,[],[f784,f350]) ).
fof(f794,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| ~ organization(sK0)
| spl4_27
| ~ spl4_28
| spl4_29 ),
inference(forward_subsumption_resolution,[],[f792,f346]) ).
fof(f795,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| spl4_27
| ~ spl4_28
| spl4_29 ),
inference(forward_subsumption_resolution,[],[f794,f81]) ).
fof(f796,plain,
( spl4_35
| spl4_27
| ~ spl4_28
| spl4_29 ),
inference(avatar_split_clause,[],[f795,f353,f349,f345,f459]) ).
fof(f885,plain,
( ! [X0] :
( ~ greater(X0,very_low)
| ~ smaller(X0,mod1) )
| spl4_2
| ~ spl4_35 ),
inference(forward_demodulation,[],[f407,f461]) ).
fof(f886,plain,
( ~ smaller(low,mod1)
| spl4_2
| ~ spl4_35 ),
inference(resolution,[],[f885,f67]) ).
fof(f891,plain,
( ~ greater(mod1,low)
| spl4_2
| ~ spl4_35 ),
inference(resolution,[],[f886,f45]) ).
fof(f892,plain,
( $false
| spl4_2
| ~ spl4_35 ),
inference(forward_subsumption_resolution,[],[f891,f66]) ).
fof(f893,plain,
( spl4_2
| ~ spl4_35 ),
inference(avatar_contradiction_clause,[],[f892]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s11,plain,
( ~ spl4_17
| spl4_21 ),
inference(sat_conversion,[],[f253]) ).
cnf(s12,plain,
spl4_17,
inference(sat_conversion,[],[f263]) ).
cnf(s13,plain,
( spl4_1
| ~ spl4_15 ),
inference(sat_conversion,[],[f272]) ).
cnf(s14,plain,
( spl4_15
| ~ spl4_22 ),
inference(sat_conversion,[],[f277]) ).
cnf(s18,plain,
spl4_22,
inference(sat_conversion,[],[f329]) ).
cnf(s22,plain,
~ spl4_27,
inference(sat_conversion,[],[f376]) ).
cnf(s43,plain,
( spl4_2
| ~ spl4_30
| spl4_37 ),
inference(sat_conversion,[],[f715]) ).
cnf(s52,plain,
~ spl4_37,
inference(sat_conversion,[],[f748]) ).
cnf(s54,plain,
( ~ spl4_21
| ~ spl4_29 ),
inference(sat_conversion,[],[f752]) ).
cnf(s57,plain,
( spl4_27
| spl4_28
| spl4_29
| spl4_30 ),
inference(sat_conversion,[],[f769]) ).
cnf(s62,plain,
( spl4_27
| ~ spl4_28
| spl4_29
| spl4_35 ),
inference(sat_conversion,[],[f796]) ).
cnf(s76,plain,
( spl4_2
| ~ spl4_35 ),
inference(sat_conversion,[],[f893]) ).
cnf(s84,plain,
( spl4_2
| ~ spl4_30 ),
inference(rat,[],[s43,s52]) ).
cnf(s90,plain,
spl4_15,
inference(rat,[],[s14,s18]) ).
cnf(s91,plain,
spl4_1,
inference(rat,[],[s13,s90]) ).
cnf(s92,plain,
spl4_21,
inference(rat,[],[s11,s12]) ).
cnf(s93,plain,
~ spl4_29,
inference(rat,[],[s54,s92]) ).
cnf(s97,plain,
~ spl4_2,
inference(rat,[],[s1,s91]) ).
cnf(s98,plain,
~ spl4_35,
inference(rat,[],[s76,s97]) ).
cnf(s99,plain,
~ spl4_30,
inference(rat,[],[s84,s97]) ).
cnf(s100,plain,
~ spl4_28,
inference(rat,[],[s62,s93,s22,s98]) ).
cnf(s101,plain,
$false,
inference(rat,[],[s57,s93,s22,s99,s100]) ).
fof(f901,plain,
$false,
inference(avatar_sat_refutation,[],[s101]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT065+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n006.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 17:32:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.66/1.31 % (3197896)Detected formulas, will run a generic FOF schedule.
% 2.66/1.31 % (3197905)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1865288695:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.66/1.31 % (3197905)Instruction limit reached!
% 2.66/1.31 % (3197905)------------------------------
% 2.66/1.31 % (3197905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.31 % (3197905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.31 % (3197905)CaDiCaL version: 2.1.3
% 2.66/1.31 % (3197905)Termination reason: Instruction limit
% 2.66/1.31 % (3197905)Termination phase: Saturation
% 2.66/1.31 % (3197905)Time elapsed: 0.037 s
% 2.66/1.31 % (3197905)Peak memory usage: 88 MB
% 2.66/1.31 % (3197905)Instructions burned: 119 (million)
% 2.66/1.31 % (3197903)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=1965336258:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.66/1.31 % (3197901)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=1031903397:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.66/1.31 % (3197902)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=4053210256:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.66/1.31 % (3197904)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2511683559:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.66/1.31 % (3197904)Refutation not found, incomplete strategy
% 2.66/1.31 % (3197904)------------------------------
% 2.66/1.31 % (3197904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.31 % (3197904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.31 % (3197904)CaDiCaL version: 2.1.3
% 2.66/1.31 % (3197907)dis-21_1_sil=8000:lcm=predicate:random_seed=3772782642: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)
% 2.66/1.31 % (3197904)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.31 % (3197904)Time elapsed: 0.003 s
% 2.66/1.31 % (3197904)Peak memory usage: 88 MB
% 2.66/1.31 % (3197904)Instructions burned: 2 (million)
% 2.66/1.31 % (3197906)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2742683346:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.66/1.31 % (3197906)First to succeed.
% 2.66/1.31 % (3197906)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3197896"
% 2.66/1.31 % (3197907)Instruction limit reached!
% 2.66/1.31 % (3197907)------------------------------
% 2.66/1.31 % (3197907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.31 % (3197907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.31 % (3197907)CaDiCaL version: 2.1.3
% 2.66/1.31 % (3197907)Termination reason: Instruction limit
% 2.66/1.31 % (3197907)Termination phase: Saturation
% 2.66/1.31 % (3197907)Time elapsed: 0.054 s
% 2.66/1.31 % (3197907)Peak memory usage: 88 MB
% 2.66/1.31 % (3197907)Instructions burned: 132 (million)
% 2.66/1.31 % (3197912)lrs+10_1_sil=8000:sp=occurrence:random_seed=1979067650:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.66/1.31 % (3197912)Also succeeded, but the first one will report.
% 2.66/1.31 % (3197916)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2298253355:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.66/1.31 % (3197916)Refutation not found, incomplete strategy
% 2.66/1.31 % (3197916)------------------------------
% 2.66/1.31 % (3197916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.66/1.31 % (3197916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.66/1.31 % (3197916)CaDiCaL version: 2.1.3
% 2.66/1.31 % (3197916)Termination reason: Refutation not found, incomplete strategy
% 2.66/1.31 % (3197916)Time elapsed: 0.005 s
% 2.66/1.31 % (3197916)Peak memory usage: 89 MB
% 2.66/1.31 % (3197916)Instructions burned: 6 (million)
% 2.66/1.31 % (3197904)------------------------------
% 2.66/1.31 % (3197904)------------------------------
% 2.66/1.31 % (3197906)Refutation found. Thanks to Tanya!
% 2.66/1.31 % SZS status Theorem for theBenchmark
% 2.66/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.40 % (3197906)------------------------------
% 0.16/1.40 % (3197906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.40 % (3197906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.40 % (3197906)CaDiCaL version: 2.1.3
% 0.16/1.40 % (3197906)Termination reason: Refutation
% 0.16/1.40 % (3197906)Time elapsed: 0.020 s
% 0.16/1.40 % (3197906)Peak memory usage: 90 MB
% 0.16/1.40 % (3197906)Instructions burned: 25 (million)
% 0.16/1.40 % (3197906)------------------------------
% 0.16/1.40 % (3197906)------------------------------
% 0.16/1.40 % (3197896)Success in time 0.454 s
% 0.16/1.40 % Vampire exiting
%------------------------------------------------------------------------------