%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n017.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 12:02:47 PM UTC 2026
% Result : Theorem 0.40s 0.50s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 24
% Syntax : Number of formulae : 153 ( 40 unt; 8 def)
% Number of atoms : 493 ( 77 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 512 ( 172 ~; 188 |; 116 &)
% ( 17 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 9 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 131 ( 0 sgn 123 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/MGT001+0.ax',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MGT001+0.ax',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] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f45,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f46,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f48,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f49,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
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] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
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] :
( ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1
| 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(f95,plain,
smaller(zero,eta),
inference(resolution,[],[f45,f76]) ).
fof(f112,plain,
~ greater(low,mod2),
inference(resolution,[],[f46,f69]) ).
fof(f113,plain,
~ greater(mod1,high),
inference(resolution,[],[f46,f65]) ).
fof(f117,plain,
smaller_or_equal(zero,eta),
inference(resolution,[],[f95,f43]) ).
fof(f158,plain,
! [X0] :
( ~ greater(X0,low)
| greater(X0,very_low) ),
inference(resolution,[],[f47,f67]) ).
fof(f162,plain,
! [X0] :
( ~ greater(X0,high)
| greater(X0,mod2) ),
inference(resolution,[],[f47,f68]) ).
fof(f164,plain,
! [X2,X0,X1] :
( ~ greater(X2,X0)
| smaller(X0,X1)
| X0 = X1
| greater(X2,X1) ),
inference(resolution,[],[f48,f47]) ).
fof(f169,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f49,f70]) ).
fof(f172,plain,
~ has_immunity(sK0,sK3),
inference(forward_subsumption_resolution,[],[f169,f80]) ).
fof(f174,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0) ),
inference(resolution,[],[f50,f73]) ).
fof(f175,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0) ),
inference(superposition,[],[f50,f79]) ).
fof(f176,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1) ),
inference(forward_subsumption_resolution,[],[f175,f80]) ).
fof(f177,plain,
has_immunity(sK0,sK2),
inference(forward_subsumption_resolution,[],[f174,f80]) ).
fof(f179,definition,
( spl4_9
<=> has_immunity(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f181,plain,
( has_immunity(sK0,sK1)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f183,definition,
( spl4_10
<=> smaller_or_equal(zero,eta) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f186,plain,
( spl4_9
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f176,f183,f179]) ).
fof(f187,plain,
( zero != zero
| ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(superposition,[],[f57,f79]) ).
fof(f188,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(trivial_inequality_removal,[],[f187]) ).
fof(f189,plain,
is_aligned(sK0,sK1),
inference(forward_subsumption_resolution,[],[f188,f81]) ).
fof(f190,plain,
( very_low = hazard_of_mortality(sK0,sK2)
| ~ organization(sK0) ),
inference(resolution,[],[f64,f177]) ).
fof(f191,plain,
very_low = hazard_of_mortality(sK0,sK2),
inference(forward_subsumption_resolution,[],[f190,f81]) ).
fof(f194,plain,
spl4_10,
inference(avatar_split_clause,[],[f117,f183]) ).
fof(f200,plain,
( very_low = hazard_of_mortality(sK0,sK1)
| ~ organization(sK0)
| ~ spl4_9 ),
inference(resolution,[],[f181,f64]) ).
fof(f201,plain,
( very_low = hazard_of_mortality(sK0,sK1)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f200,f81]) ).
fof(f208,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(superposition,[],[f58,f79]) ).
fof(f209,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f208]) ).
fof(f210,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| dissimilar(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f209,f81]) ).
fof(f223,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1
| has_immunity(X0,X1)
| ~ organization(X0)
| is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = high
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(resolution,[],[f62,f60]) ).
fof(f224,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod1
| has_immunity(X0,X1)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = high ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f238,plain,
( very_low != hazard_of_mortality(sK0,sK1)
| spl4_1 ),
inference(superposition,[],[f87,f191]) ).
fof(f252,plain,
dissimilar(sK0,sK1,sK3),
inference(resolution,[],[f210,f72]) ).
fof(f255,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK3) ),
inference(resolution,[],[f252,f53]) ).
fof(f258,plain,
~ is_aligned(sK0,sK3),
inference(forward_subsumption_resolution,[],[f255,f189]) ).
fof(f289,plain,
( $false
| spl4_1
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f238,f201]) ).
fof(f290,plain,
( spl4_1
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f289]) ).
fof(f292,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),very_low)
| spl4_2 ),
inference(forward_demodulation,[],[f91,f191]) ).
fof(f314,plain,
greater(mod1,very_low),
inference(resolution,[],[f158,f66]) ).
fof(f358,plain,
! [X0] :
( greater(low,X0)
| very_low = X0
| smaller(very_low,X0) ),
inference(resolution,[],[f164,f67]) ).
fof(f371,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0)
| high = hazard_of_mortality(sK0,sK3) ),
inference(resolution,[],[f224,f258]) ).
fof(f373,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| ~ organization(sK0)
| high = hazard_of_mortality(sK0,sK3) ),
inference(forward_subsumption_resolution,[],[f371,f172]) ).
fof(f374,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| high = hazard_of_mortality(sK0,sK3) ),
inference(forward_subsumption_resolution,[],[f373,f81]) ).
fof(f376,definition,
( spl4_15
<=> high = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f378,plain,
( high = hazard_of_mortality(sK0,sK3)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f380,definition,
( spl4_16
<=> mod1 = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_16])],[avatar_definition]) ).
fof(f382,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f383,plain,
( spl4_15
| spl4_16 ),
inference(avatar_split_clause,[],[f374,f380,f376]) ).
fof(f387,plain,
( ~ greater(high,very_low)
| spl4_2
| ~ spl4_15 ),
inference(superposition,[],[f292,f378]) ).
fof(f398,definition,
( spl4_18
<=> very_low = high ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f400,plain,
( very_low = high
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f411,definition,
( spl4_19
<=> smaller(very_low,high) ),
introduced(definition,[new_symbols(definition,[spl4_19])],[avatar_definition]) ).
fof(f413,plain,
( smaller(very_low,high)
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f418,plain,
( greater(high,very_low)
| ~ spl4_19 ),
inference(resolution,[],[f413,f44]) ).
fof(f439,plain,
( ~ greater(mod1,very_low)
| spl4_2
| ~ spl4_16 ),
inference(superposition,[],[f292,f382]) ).
fof(f929,plain,
( $false
| spl4_2
| ~ spl4_16 ),
inference(forward_subsumption_resolution,[],[f314,f439]) ).
fof(f930,plain,
( spl4_2
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f929]) ).
fof(f932,plain,
( $false
| spl4_2
| ~ spl4_15
| ~ spl4_19 ),
inference(forward_subsumption_resolution,[],[f387,f418]) ).
fof(f933,plain,
( spl4_2
| ~ spl4_15
| ~ spl4_19 ),
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f1244,plain,
( very_low = high
| smaller(very_low,high)
| greater(low,mod2) ),
inference(resolution,[],[f358,f162]) ).
fof(f1253,plain,
( very_low = high
| smaller(very_low,high) ),
inference(forward_subsumption_resolution,[],[f1244,f112]) ).
fof(f1293,plain,
( spl4_19
| spl4_18 ),
inference(avatar_split_clause,[],[f1253,f398,f411]) ).
fof(f2666,plain,
( ~ greater(mod1,very_low)
| ~ spl4_18 ),
inference(superposition,[],[f113,f400]) ).
fof(f2702,plain,
( $false
| ~ spl4_18 ),
inference(forward_subsumption_resolution,[],[f2666,f314]) ).
fof(f2703,plain,
~ spl4_18,
inference(avatar_contradiction_clause,[],[f2702]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f92]) ).
cnf(s5,plain,
( spl4_9
| ~ spl4_10 ),
inference(sat_conversion,[],[f186]) ).
cnf(s7,plain,
spl4_10,
inference(sat_conversion,[],[f194]) ).
cnf(s8,plain,
( spl4_1
| ~ spl4_9 ),
inference(sat_conversion,[],[f290]) ).
cnf(s12,plain,
( spl4_15
| spl4_16 ),
inference(sat_conversion,[],[f383]) ).
cnf(s59,plain,
( spl4_2
| ~ spl4_16 ),
inference(sat_conversion,[],[f930]) ).
cnf(s60,plain,
( spl4_2
| ~ spl4_15
| ~ spl4_19 ),
inference(sat_conversion,[],[f933]) ).
cnf(s108,plain,
( spl4_18
| spl4_19 ),
inference(sat_conversion,[],[f1293]) ).
cnf(s267,plain,
~ spl4_18,
inference(sat_conversion,[],[f2703]) ).
cnf(s269,plain,
spl4_19,
inference(rat,[],[s108,s267]) ).
cnf(s271,plain,
( spl4_2
| ~ spl4_15 ),
inference(rat,[],[s60,s269]) ).
cnf(s278,plain,
spl4_9,
inference(rat,[],[s5,s7]) ).
cnf(s279,plain,
spl4_1,
inference(rat,[],[s8,s278]) ).
cnf(s280,plain,
~ spl4_2,
inference(rat,[],[s1,s279]) ).
cnf(s281,plain,
~ spl4_15,
inference(rat,[],[s271,s280]) ).
cnf(s282,plain,
~ spl4_16,
inference(rat,[],[s59,s280]) ).
cnf(s283,plain,
$false,
inference(rat,[],[s12,s282,s281]) ).
fof(f2705,plain,
$false,
inference(avatar_sat_refutation,[],[s283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT065+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 17:27:39 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.50 % (2824466)Will run a generic schedule for satisfiability detection.
% 0.40/0.50 % (2824475)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2277791251:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.40/0.50 % (2824472)% WARNING: option uhcvi not known.
% 0.40/0.50 % (2824471)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=579196837_2999 on theBenchmark for (2999ds/0Mi)
% 0.40/0.50 % (2824477)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4068578570:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.40/0.50 % (2824473)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3808308248:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.40/0.50 % (2824474)dis+10_1_sil=32000:sp=arity:random_seed=2619597498:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.40/0.50 % (2824476)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2513276074:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.40/0.50 % (2824472)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=880585641:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.40/0.50 % TRYING [1]
% 0.40/0.50 % TRYING [2]
% 0.40/0.50 % TRYING [3]
% 0.40/0.50 % TRYING [4]
% 0.40/0.50 % TRYING [5]
% 0.40/0.50 % TRYING [6]
% 0.40/0.50 % (2824475)Instruction limit reached!
% 0.40/0.50 % (2824475)------------------------------
% 0.40/0.50 % (2824475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.50 % (2824475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.50 % (2824475)CaDiCaL version: 2.1.3
% 0.40/0.50 % (2824475)Termination reason: Instruction limit
% 0.40/0.50 % (2824475)Termination phase: Saturation
% 0.40/0.50 % (2824475)Time elapsed: 0.038 s
% 0.40/0.50 % (2824475)Peak memory usage: 12 MB
% 0.40/0.50 % (2824475)Instructions burned: 118 (million)
% 0.40/0.50 % (2824485)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3487658588:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.40/0.50 % TRYING [1]
% 0.40/0.50 % TRYING [2]
% 0.40/0.50 % TRYING [3]
% 0.40/0.50 % TRYING [4]
% 0.40/0.50 % TRYING [7]
% 0.40/0.50 % (2824474) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2824466-2824474"...
% 0.40/0.50 % (2824474)...printing done.
% 0.40/0.50 % (2824474)Refutation found. Thanks to Tanya!
% 0.40/0.50 % SZS status Theorem for theBenchmark
% 0.40/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.40/0.50 % (2824474)------------------------------
% 0.40/0.50 % (2824474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.40/0.50 % (2824474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.40/0.50 % (2824474)CaDiCaL version: 2.1.3
% 0.40/0.50 % (2824474)Termination reason: Refutation
% 0.40/0.50 % (2824474)Time elapsed: 0.051 s
% 0.40/0.50 % (2824474)Peak memory usage: 13 MB
% 0.40/0.50 % (2824474)Instructions burned: 75 (million)
% 0.40/0.50 % (2824466)Success in time 0.089 s
% 0.40/0.50 % Vampire exiting
%------------------------------------------------------------------------------