%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT062+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 : n004.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 12:02:46 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 25
% Syntax : Number of formulae : 187 ( 36 unt; 14 def)
% Number of atoms : 577 ( 75 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 647 ( 257 ~; 265 |; 84 &)
% ( 23 <=>; 17 =>; 0 <=; 1 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 15 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 124 ( 0 sgn 116 !; 8 ?)
% 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(f7,axiom,
! [X0,X1] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,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(f9,axiom,
! [X0,X1] :
( ( organization(X0)
& age(X0,X1) = zero )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',assumption_15) ).
fof(f11,axiom,
! [X0] :
( robust_position(X0)
<=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) )
& ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_4) ).
fof(f12,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/sandbox/benchmark/theBenchmark.p',assumption_17) ).
fof(f13,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19) ).
fof(f14,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& robust_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) )
=> ( smaller(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',theorem_8) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& robust_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) )
=> ( smaller(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)],[f14]) ).
fof(f16,plain,
! [X0] :
( robust_position(X0)
=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) )
& ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f17,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f20,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f23,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f9]) ).
fof(f24,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f10]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0] :
( ! [X1] :
( ( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) )
& ( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau) ) )
| ~ robust_position(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f28,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,[],[f12]) ).
fof(f29,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,[],[f28]) ).
fof(f30,plain,
? [X0,X1,X2,X3] :
( ( ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& robust_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) ),
inference(ennf_transformation,[],[f15]) ).
fof(f31,plain,
? [X0,X1,X2,X3] :
( ( ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2))
| hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2) )
& organization(X0)
& robust_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) ),
inference(flattening,[],[f30]) ).
fof(f32,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(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f35,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,[],[f22]) ).
fof(f36,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,[],[f35]) ).
fof(f37,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,[],[f26]) ).
fof(f38,plain,
( ( ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& robust_position(sK0)
& ~ has_endowment(sK0)
& zero = age(sK0,sK1)
& greater(sigma,zero)
& greater(tau,zero)
& sigma = tau
& smaller_or_equal(age(sK0,sK2),sigma)
& greater(age(sK0,sK3),sigma) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f31]) ).
fof(f39,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f42,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f43,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f44,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f47,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f51,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ organization(X0)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f53,plain,
! [X0,X1] :
( age(X0,X1) != zero
| ~ organization(X0)
| is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f24]) ).
fof(f54,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f37]) ).
fof(f55,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f37]) ).
fof(f56,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f57,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f59,plain,
! [X0,X1] :
( ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f60,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,[],[f29]) ).
fof(f63,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f64,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f38]) ).
fof(f65,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f38]) ).
fof(f66,plain,
sigma = tau,
inference(cnf_transformation,[],[f38]) ).
fof(f67,plain,
greater(tau,zero),
inference(cnf_transformation,[],[f38]) ).
fof(f69,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f71,plain,
robust_position(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f72,plain,
organization(sK0),
inference(cnf_transformation,[],[f38]) ).
fof(f73,plain,
( ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f74,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| greater(age(X0,X2),tau) ),
inference(definition_unfolding,[],[f55,f66]) ).
fof(f75,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ greater(age(X0,X2),tau)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(definition_unfolding,[],[f54,f66]) ).
fof(f77,plain,
smaller_or_equal(age(sK0,sK2),tau),
inference(definition_unfolding,[],[f65,f66]) ).
fof(f78,plain,
greater(age(sK0,sK3),tau),
inference(definition_unfolding,[],[f64,f66]) ).
fof(f81,definition,
( spl4_1
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f83,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| spl4_1 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f85,definition,
( spl4_2
<=> smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f87,plain,
( ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl4_2 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f88,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f73,f85,f81]) ).
fof(f89,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sK0,sK1,X0)
| ~ organization(sK0)
| greater(age(sK0,X0),tau) ),
inference(superposition,[],[f74,f69]) ).
fof(f90,plain,
! [X0] :
( ~ dissimilar(sK0,sK1,X0)
| ~ organization(sK0)
| greater(age(sK0,X0),tau) ),
inference(trivial_inequality_removal,[],[f89]) ).
fof(f91,plain,
! [X0] :
( greater(age(sK0,X0),tau)
| ~ dissimilar(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f90,f72]) ).
fof(f102,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),tau)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(superposition,[],[f75,f69]) ).
fof(f103,plain,
! [X0] :
( ~ greater(age(sK0,X0),tau)
| ~ organization(sK0)
| dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ~ greater(age(sK0,X0),tau)
| dissimilar(sK0,sK1,X0) ),
inference(forward_subsumption_resolution,[],[f103,f72]) ).
fof(f105,plain,
dissimilar(sK0,sK1,sK3),
inference(resolution,[],[f104,f78]) ).
fof(f110,plain,
smaller(zero,tau),
inference(resolution,[],[f43,f67]) ).
fof(f113,plain,
smaller(mod1,mod2),
inference(resolution,[],[f43,f63]) ).
fof(f119,plain,
smaller_or_equal(zero,tau),
inference(resolution,[],[f110,f41]) ).
fof(f123,plain,
( tau = age(sK0,sK2)
| smaller(age(sK0,sK2),tau) ),
inference(resolution,[],[f39,f77]) ).
fof(f127,definition,
( spl4_5
<=> smaller(age(sK0,sK2),tau) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f129,plain,
( smaller(age(sK0,sK2),tau)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl4_6
<=> tau = age(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f133,plain,
( tau = age(sK0,sK2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f123,f131,f127]) ).
fof(f139,plain,
( greater(tau,age(sK0,sK2))
| ~ spl4_5 ),
inference(resolution,[],[f129,f42]) ).
fof(f150,definition,
( spl4_7
<=> is_aligned(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f151,plain,
( ~ is_aligned(sK0,sK3)
| spl4_7 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f154,definition,
( spl4_8
<=> is_aligned(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f156,plain,
( is_aligned(sK0,sK1)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f158,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK3) ),
inference(resolution,[],[f49,f105]) ).
fof(f161,plain,
( zero != zero
| ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(superposition,[],[f53,f69]) ).
fof(f162,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK1) ),
inference(trivial_inequality_removal,[],[f161]) ).
fof(f163,plain,
is_aligned(sK0,sK1),
inference(forward_subsumption_resolution,[],[f162,f72]) ).
fof(f166,plain,
spl4_8,
inference(avatar_split_clause,[],[f163,f154]) ).
fof(f167,plain,
( ~ spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f158,f154,f150]) ).
fof(f168,plain,
( positional_advantage(sK0,sK3)
| ~ robust_position(sK0) ),
inference(resolution,[],[f56,f78]) ).
fof(f173,plain,
positional_advantage(sK0,sK3),
inference(forward_subsumption_resolution,[],[f168,f71]) ).
fof(f174,plain,
( ~ positional_advantage(sK0,sK2)
| ~ robust_position(sK0) ),
inference(resolution,[],[f57,f77]) ).
fof(f175,plain,
( ~ smaller_or_equal(zero,tau)
| ~ positional_advantage(sK0,sK1)
| ~ robust_position(sK0) ),
inference(superposition,[],[f57,f69]) ).
fof(f176,plain,
( ~ positional_advantage(sK0,sK1)
| ~ robust_position(sK0) ),
inference(forward_subsumption_resolution,[],[f175,f119]) ).
fof(f177,plain,
~ positional_advantage(sK0,sK2),
inference(forward_subsumption_resolution,[],[f174,f71]) ).
fof(f178,plain,
~ positional_advantage(sK0,sK1),
inference(forward_subsumption_resolution,[],[f176,f71]) ).
fof(f192,plain,
( ~ greater(age(sK0,sK2),tau)
| ~ spl4_5 ),
inference(resolution,[],[f139,f44]) ).
fof(f198,definition,
( spl4_9
<=> has_immunity(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f199,plain,
( ~ has_immunity(sK0,sK2)
| spl4_9 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f200,plain,
( has_immunity(sK0,sK2)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f198]) ).
fof(f206,definition,
( spl4_11
<=> is_aligned(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f208,plain,
( is_aligned(sK0,sK2)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f211,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl4_9 ),
inference(resolution,[],[f200,f47]) ).
fof(f212,plain,
( has_endowment(sK0)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f211,f72]) ).
fof(f214,plain,
( $false
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f212,f70]) ).
fof(f215,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f216,plain,
( mod2 = hazard_of_mortality(sK0,sK1)
| positional_advantage(sK0,sK1)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| ~ spl4_8 ),
inference(resolution,[],[f59,f156]) ).
fof(f217,plain,
( mod2 = hazard_of_mortality(sK0,sK1)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f216,f178]) ).
fof(f218,plain,
( mod2 = hazard_of_mortality(sK0,sK1)
| has_immunity(sK0,sK1)
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f217,f72]) ).
fof(f220,definition,
( spl4_12
<=> has_immunity(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f222,plain,
( has_immunity(sK0,sK1)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f224,definition,
( spl4_13
<=> mod2 = hazard_of_mortality(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl4_13])],[avatar_definition]) ).
fof(f227,plain,
( spl4_12
| spl4_13
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f218,f154,f224,f220]) ).
fof(f228,plain,
( is_aligned(sK0,sK3)
| mod1 = hazard_of_mortality(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0) ),
inference(resolution,[],[f60,f173]) ).
fof(f231,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0)
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f228,f151]) ).
fof(f232,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| has_immunity(sK0,sK3)
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f231,f72]) ).
fof(f234,definition,
( spl4_14
<=> has_immunity(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f236,plain,
( has_immunity(sK0,sK3)
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f238,definition,
( spl4_15
<=> mod1 = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f240,plain,
( mod1 = hazard_of_mortality(sK0,sK3)
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f241,plain,
( spl4_14
| spl4_15
| spl4_7 ),
inference(avatar_split_clause,[],[f232,f150,f238,f234]) ).
fof(f243,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl4_14 ),
inference(resolution,[],[f236,f47]) ).
fof(f244,plain,
( has_endowment(sK0)
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f243,f72]) ).
fof(f246,plain,
( $false
| ~ spl4_14 ),
inference(forward_subsumption_resolution,[],[f244,f70]) ).
fof(f247,plain,
~ spl4_14,
inference(avatar_contradiction_clause,[],[f246]) ).
fof(f255,plain,
( ~ organization(sK0)
| has_endowment(sK0)
| ~ spl4_12 ),
inference(resolution,[],[f222,f47]) ).
fof(f256,plain,
( has_endowment(sK0)
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f255,f72]) ).
fof(f258,plain,
( $false
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f256,f70]) ).
fof(f259,plain,
~ spl4_12,
inference(avatar_contradiction_clause,[],[f258]) ).
fof(f274,plain,
( ~ dissimilar(sK0,sK1,sK2)
| ~ spl4_5 ),
inference(resolution,[],[f192,f91]) ).
fof(f284,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl4_5 ),
inference(resolution,[],[f274,f51]) ).
fof(f285,plain,
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f284,f72]) ).
fof(f286,plain,
( is_aligned(sK0,sK2)
| ~ spl4_5
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f285,f156]) ).
fof(f287,plain,
( spl4_11
| ~ spl4_5
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f286,f154,f127,f206]) ).
fof(f299,plain,
( greater(tau,tau)
| ~ dissimilar(sK0,sK1,sK2)
| ~ spl4_6 ),
inference(superposition,[],[f91,f133]) ).
fof(f301,plain,
( ~ greater(tau,tau)
| positional_advantage(sK0,sK2)
| ~ robust_position(sK0)
| ~ spl4_6 ),
inference(superposition,[],[f56,f133]) ).
fof(f308,plain,
( ~ greater(tau,tau)
| ~ robust_position(sK0)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f301,f177]) ).
fof(f310,definition,
( spl4_17
<=> dissimilar(sK0,sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_17])],[avatar_definition]) ).
fof(f312,plain,
( ~ dissimilar(sK0,sK1,sK2)
| spl4_17 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f314,definition,
( spl4_18
<=> greater(tau,tau) ),
introduced(definition,[new_symbols(definition,[spl4_18])],[avatar_definition]) ).
fof(f317,plain,
( ~ spl4_17
| spl4_18
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f299,f131,f314,f310]) ).
fof(f332,plain,
( ~ greater(tau,tau)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f308,f71]) ).
fof(f333,plain,
( ~ spl4_18
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f332,f131,f314]) ).
fof(f343,plain,
( ~ organization(sK0)
| is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| spl4_17 ),
inference(resolution,[],[f312,f51]) ).
fof(f344,plain,
( is_aligned(sK0,sK2)
| ~ is_aligned(sK0,sK1)
| spl4_17 ),
inference(forward_subsumption_resolution,[],[f343,f72]) ).
fof(f345,plain,
( is_aligned(sK0,sK2)
| ~ spl4_8
| spl4_17 ),
inference(forward_subsumption_resolution,[],[f344,f156]) ).
fof(f346,plain,
( spl4_11
| ~ spl4_8
| spl4_17 ),
inference(avatar_split_clause,[],[f345,f310,f154,f206]) ).
fof(f347,plain,
( mod2 = hazard_of_mortality(sK0,sK2)
| positional_advantage(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| ~ spl4_11 ),
inference(resolution,[],[f208,f59]) ).
fof(f348,plain,
( mod2 = hazard_of_mortality(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f347,f177]) ).
fof(f349,plain,
( mod2 = hazard_of_mortality(sK0,sK2)
| ~ organization(sK0)
| spl4_9
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f348,f199]) ).
fof(f350,plain,
( mod2 = hazard_of_mortality(sK0,sK2)
| spl4_9
| ~ spl4_11 ),
inference(forward_subsumption_resolution,[],[f349,f72]) ).
fof(f376,plain,
( mod2 != hazard_of_mortality(sK0,sK1)
| spl4_1
| spl4_9
| ~ spl4_11 ),
inference(superposition,[],[f83,f350]) ).
fof(f377,plain,
( ~ spl4_13
| spl4_1
| spl4_9
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f376,f206,f198,f81,f224]) ).
fof(f386,plain,
( ~ smaller(hazard_of_mortality(sK0,sK3),mod2)
| spl4_2
| spl4_9
| ~ spl4_11 ),
inference(forward_demodulation,[],[f87,f350]) ).
fof(f388,plain,
( ~ smaller(mod1,mod2)
| spl4_2
| spl4_9
| ~ spl4_11
| ~ spl4_15 ),
inference(forward_demodulation,[],[f386,f240]) ).
fof(f389,plain,
( $false
| spl4_2
| spl4_9
| ~ spl4_11
| ~ spl4_15 ),
inference(forward_subsumption_resolution,[],[f388,f113]) ).
fof(f390,plain,
( spl4_2
| spl4_9
| ~ spl4_11
| ~ spl4_15 ),
inference(avatar_contradiction_clause,[],[f389]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f88]) ).
cnf(s4,plain,
( spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f134]) ).
cnf(s8,plain,
spl4_8,
inference(sat_conversion,[],[f166]) ).
cnf(s9,plain,
( ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f167]) ).
cnf(s11,plain,
~ spl4_9,
inference(sat_conversion,[],[f215]) ).
cnf(s12,plain,
( ~ spl4_8
| spl4_12
| spl4_13 ),
inference(sat_conversion,[],[f227]) ).
cnf(s13,plain,
( spl4_7
| spl4_14
| spl4_15 ),
inference(sat_conversion,[],[f241]) ).
cnf(s14,plain,
~ spl4_14,
inference(sat_conversion,[],[f247]) ).
cnf(s15,plain,
~ spl4_12,
inference(sat_conversion,[],[f259]) ).
cnf(s16,plain,
( ~ spl4_5
| ~ spl4_8
| spl4_11 ),
inference(sat_conversion,[],[f287]) ).
cnf(s19,plain,
( ~ spl4_6
| ~ spl4_17
| spl4_18 ),
inference(sat_conversion,[],[f317]) ).
cnf(s24,plain,
( ~ spl4_6
| ~ spl4_18 ),
inference(sat_conversion,[],[f333]) ).
cnf(s25,plain,
( ~ spl4_8
| spl4_11
| spl4_17 ),
inference(sat_conversion,[],[f346]) ).
cnf(s28,plain,
( spl4_1
| spl4_9
| ~ spl4_11
| ~ spl4_13 ),
inference(sat_conversion,[],[f377]) ).
cnf(s31,plain,
( spl4_2
| spl4_9
| ~ spl4_11
| ~ spl4_15 ),
inference(sat_conversion,[],[f390]) ).
cnf(s32,plain,
( spl4_7
| spl4_15 ),
inference(rat,[],[s13,s14]) ).
cnf(s33,plain,
( ~ spl4_8
| spl4_13 ),
inference(rat,[],[s12,s15]) ).
cnf(s35,plain,
spl4_13,
inference(rat,[],[s33,s8]) ).
cnf(s36,plain,
~ spl4_7,
inference(rat,[],[s9,s8]) ).
cnf(s37,plain,
spl4_15,
inference(rat,[],[s32,s36]) ).
cnf(s38,plain,
spl4_11,
inference(rat,[],[s19,s24,s4,s16,s25,s8]) ).
cnf(s39,plain,
spl4_2,
inference(rat,[],[s31,s37,s11,s38]) ).
cnf(s40,plain,
spl4_1,
inference(rat,[],[s28,s35,s11,s38]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s1,s39,s40]) ).
fof(f391,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MGT062+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.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
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:31:22 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.16/0.41 Running first-order model finding
% 0.16/0.41 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
% 0.18/0.47 % (3773371)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3773378)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4214442170:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.47 % (3773377)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3773376)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3867749004_2999 on theBenchmark for (2999ds/0Mi)
% 0.18/0.47 % (3773377)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1311891488:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (3773381)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1644791854:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.18/0.47 % (3773379)dis+10_1_sil=32000:sp=arity:random_seed=3971240463:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.18/0.47 % (3773380)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3422798735:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (3773382)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1822850783:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % TRYING [1]
% 0.18/0.47 % TRYING [2]
% 0.18/0.47 % TRYING [3]
% 0.18/0.47 % TRYING [4]
% 0.18/0.47 % (3773379) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3773371-3773379"...
% 0.18/0.47 % TRYING [5]
% 0.18/0.47 % (3773379)...printing done.
% 0.18/0.47 % (3773379)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3773379)------------------------------
% 0.18/0.47 % (3773379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3773379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3773379)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3773379)Termination reason: Refutation
% 0.18/0.47 % (3773379)Time elapsed: 0.010 s
% 0.18/0.47 % (3773379)Peak memory usage: 12 MB
% 0.18/0.47 % (3773379)Instructions burned: 13 (million)
% 0.18/0.47 % (3773371)Success in time 0.05 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------