%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : MGT061+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 : n015.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 23
% Syntax : Number of formulae : 165 ( 32 unt; 9 def)
% Number of atoms : 493 ( 74 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 531 ( 203 ~; 216 |; 75 &)
% ( 18 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 10 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 138 ( 0 sgn 130 !; 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(f7,axiom,
! [X0,X1] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( 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] :
( fragile_position(X0)
<=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) )
& ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_3) ).
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/sandbox2/benchmark/theBenchmark.p',assumption_17) ).
fof(f13,axiom,
greater(high,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18a) ).
fof(f14,axiom,
greater(mod1,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18b) ).
fof(f17,axiom,
greater(mod2,low),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_18e) ).
fof(f18,conjecture,
! [X0,X1,X2,X3] :
( ( organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) )
=> ( 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_7) ).
fof(f19,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( organization(X0)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) )
=> ( 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)],[f18]) ).
fof(f20,plain,
! [X0] :
( fragile_position(X0)
=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),sigma)
=> positional_advantage(X0,X1) )
& ( greater(age(X0,X1),sigma)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
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] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f9]) ).
fof(f28,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ! [X1] :
( ( positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),sigma) )
& ( ~ positional_advantage(X0,X1)
| ~ greater(age(X0,X1),sigma) ) )
| ~ fragile_position(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f32,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(f33,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,[],[f32]) ).
fof(f34,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)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,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)
& fragile_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X2),sigma)
& greater(age(X0,X3),sigma) ),
inference(flattening,[],[f34]) ).
fof(f36,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(f37,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) )
& ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ~ organization(X0)
| ( ( is_aligned(X0,X1)
| ~ is_aligned(X0,X2) )
& ( is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ) ) )
& ( ( organization(X0)
& ( ~ is_aligned(X0,X2)
| ~ is_aligned(X0,X1) )
& ( is_aligned(X0,X2)
| is_aligned(X0,X1) ) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f39]) ).
fof(f41,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,[],[f30]) ).
fof(f42,plain,
( ( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1) )
& organization(sK0)
& fragile_position(sK0)
& ~ has_endowment(sK0)
& zero = age(sK0,sK1)
& greater(sigma,zero)
& 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)],[f35]) ).
fof(f43,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f45,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f46,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f48,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| greater(X0,X2)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f51,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f57,plain,
! [X0,X1] :
( ~ organization(X0)
| is_aligned(X0,X1)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f28]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f41]) ).
fof(f60,plain,
! [X0,X1] :
( ~ fragile_position(X0)
| ~ greater(age(X0,X1),sigma)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
! [X0,X1] :
( ~ fragile_position(X0)
| ~ smaller_or_equal(age(X0,X1),sigma)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
! [X0,X1] :
( ~ organization(X0)
| is_aligned(X0,X1)
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = high ),
inference(cnf_transformation,[],[f33]) ).
fof(f63,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = mod2 ),
inference(cnf_transformation,[],[f33]) ).
fof(f65,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| hazard_of_mortality(X0,X1) = low ),
inference(cnf_transformation,[],[f33]) ).
fof(f67,plain,
greater(high,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f68,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f14]) ).
fof(f71,plain,
greater(mod2,low),
inference(cnf_transformation,[],[f17]) ).
fof(f72,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f73,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f74,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f42]) ).
fof(f75,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f76,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f77,plain,
fragile_position(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f78,plain,
organization(sK0),
inference(cnf_transformation,[],[f42]) ).
fof(f79,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,[],[f42]) ).
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
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f87,plain,
( ~ greater(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,[],[f79,f85,f81]) ).
fof(f91,plain,
smaller(zero,sigma),
inference(resolution,[],[f47,f74]) ).
fof(f98,plain,
smaller_or_equal(zero,sigma),
inference(resolution,[],[f91,f45]) ).
fof(f106,plain,
! [X0] :
( ~ has_immunity(sK0,X0)
| has_endowment(sK0) ),
inference(resolution,[],[f51,f78]) ).
fof(f107,plain,
! [X0] : ~ has_immunity(sK0,X0),
inference(forward_subsumption_resolution,[],[f106,f76]) ).
fof(f108,plain,
( sigma = age(sK0,sK2)
| smaller(age(sK0,sK2),sigma) ),
inference(resolution,[],[f43,f73]) ).
fof(f112,definition,
( spl4_3
<=> smaller(age(sK0,sK2),sigma) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f114,plain,
( smaller(age(sK0,sK2),sigma)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f116,definition,
( spl4_4
<=> sigma = age(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f118,plain,
( sigma = age(sK0,sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f119,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f108,f116,f112]) ).
fof(f127,plain,
! [X0] :
( ~ greater(mod1,X0)
| greater(high,X0) ),
inference(resolution,[],[f49,f67]) ).
fof(f134,plain,
( greater(sigma,age(sK0,sK2))
| ~ spl4_3 ),
inference(resolution,[],[f114,f46]) ).
fof(f138,plain,
( ~ greater(age(sK0,sK2),sigma)
| ~ spl4_3 ),
inference(resolution,[],[f134,f48]) ).
fof(f140,plain,
! [X0] :
( zero != age(sK0,X0)
| is_aligned(sK0,X0) ),
inference(resolution,[],[f57,f78]) ).
fof(f142,plain,
! [X0] :
( ~ positional_advantage(sK0,X0)
| ~ greater(age(sK0,X0),sigma) ),
inference(resolution,[],[f60,f77]) ).
fof(f144,plain,
! [X0] :
( ~ smaller_or_equal(age(sK0,X0),sigma)
| positional_advantage(sK0,X0) ),
inference(resolution,[],[f61,f77]) ).
fof(f152,plain,
! [X0,X1] :
( ~ is_aligned(sK0,X0)
| is_aligned(sK0,X1)
| dissimilar(sK0,X0,X1) ),
inference(resolution,[],[f55,f78]) ).
fof(f159,plain,
! [X0,X1] :
( ~ dissimilar(sK0,X0,X1)
| greater(age(sK0,X1),sigma)
| zero != age(sK0,X0) ),
inference(resolution,[],[f59,f78]) ).
fof(f163,plain,
! [X0] :
( is_aligned(sK0,X0)
| positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f62,f78]) ).
fof(f164,plain,
! [X0] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| high = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f163,f107]) ).
fof(f166,plain,
! [X0] :
( ~ is_aligned(sK0,X0)
| positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f63,f78]) ).
fof(f167,plain,
! [X0] :
( ~ is_aligned(sK0,X0)
| positional_advantage(sK0,X0)
| mod2 = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f166,f107]) ).
fof(f173,plain,
! [X0] :
( ~ is_aligned(sK0,X0)
| ~ positional_advantage(sK0,X0)
| has_immunity(sK0,X0)
| low = hazard_of_mortality(sK0,X0) ),
inference(resolution,[],[f65,f78]) ).
fof(f174,plain,
! [X0] :
( ~ positional_advantage(sK0,X0)
| ~ is_aligned(sK0,X0)
| low = hazard_of_mortality(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f173,f107]) ).
fof(f175,plain,
( zero != zero
| is_aligned(sK0,sK1) ),
inference(superposition,[],[f140,f75]) ).
fof(f176,plain,
is_aligned(sK0,sK1),
inference(trivial_inequality_removal,[],[f175]) ).
fof(f178,plain,
positional_advantage(sK0,sK2),
inference(resolution,[],[f144,f73]) ).
fof(f179,plain,
( ~ smaller_or_equal(zero,sigma)
| positional_advantage(sK0,sK1) ),
inference(superposition,[],[f144,f75]) ).
fof(f180,plain,
positional_advantage(sK0,sK1),
inference(forward_subsumption_resolution,[],[f179,f98]) ).
fof(f181,plain,
~ greater(age(sK0,sK2),sigma),
inference(resolution,[],[f178,f142]) ).
fof(f182,plain,
! [X0] :
( is_aligned(sK0,X0)
| dissimilar(sK0,sK1,X0) ),
inference(resolution,[],[f152,f176]) ).
fof(f187,plain,
! [X0] :
( ~ greater(age(sK0,X0),sigma)
| high = hazard_of_mortality(sK0,X0)
| is_aligned(sK0,X0) ),
inference(resolution,[],[f164,f142]) ).
fof(f203,definition,
( spl4_6
<=> is_aligned(sK0,sK2) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f204,plain,
( ~ is_aligned(sK0,sK2)
| spl4_6 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f205,plain,
( is_aligned(sK0,sK2)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f208,plain,
( ~ is_aligned(sK0,sK2)
| low = hazard_of_mortality(sK0,sK2) ),
inference(resolution,[],[f174,f178]) ).
fof(f209,plain,
( ~ is_aligned(sK0,sK1)
| low = hazard_of_mortality(sK0,sK1) ),
inference(resolution,[],[f174,f180]) ).
fof(f211,plain,
low = hazard_of_mortality(sK0,sK1),
inference(forward_subsumption_resolution,[],[f209,f176]) ).
fof(f218,plain,
( dissimilar(sK0,sK1,sK2)
| spl4_6 ),
inference(resolution,[],[f204,f182]) ).
fof(f224,plain,
( greater(age(sK0,sK2),sigma)
| zero != age(sK0,sK1)
| spl4_6 ),
inference(resolution,[],[f159,f218]) ).
fof(f225,plain,
( zero != age(sK0,sK1)
| ~ spl4_3
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f224,f138]) ).
fof(f226,plain,
( $false
| ~ spl4_3
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f225,f75]) ).
fof(f227,plain,
( ~ spl4_3
| spl4_6 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f228,plain,
( low = hazard_of_mortality(sK0,sK2)
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f208,f205]) ).
fof(f243,plain,
( low != hazard_of_mortality(sK0,sK1)
| spl4_1
| ~ spl4_6 ),
inference(superposition,[],[f83,f228]) ).
fof(f244,plain,
( $false
| spl4_1
| ~ spl4_6 ),
inference(forward_subsumption_resolution,[],[f243,f211]) ).
fof(f245,plain,
( spl4_1
| ~ spl4_6 ),
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f248,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),low)
| spl4_2
| ~ spl4_6 ),
inference(forward_demodulation,[],[f87,f228]) ).
fof(f306,plain,
greater(high,low),
inference(resolution,[],[f127,f68]) ).
fof(f444,plain,
( high = hazard_of_mortality(sK0,sK3)
| is_aligned(sK0,sK3) ),
inference(resolution,[],[f187,f72]) ).
fof(f449,definition,
( spl4_22
<=> is_aligned(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_22])],[avatar_definition]) ).
fof(f451,plain,
( is_aligned(sK0,sK3)
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f453,definition,
( spl4_23
<=> high = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_23])],[avatar_definition]) ).
fof(f455,plain,
( high = hazard_of_mortality(sK0,sK3)
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f456,plain,
( spl4_22
| spl4_23 ),
inference(avatar_split_clause,[],[f444,f453,f449]) ).
fof(f556,plain,
( positional_advantage(sK0,sK3)
| mod2 = hazard_of_mortality(sK0,sK3)
| ~ spl4_22 ),
inference(resolution,[],[f451,f167]) ).
fof(f562,definition,
( spl4_36
<=> mod2 = hazard_of_mortality(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_36])],[avatar_definition]) ).
fof(f564,plain,
( mod2 = hazard_of_mortality(sK0,sK3)
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl4_37
<=> positional_advantage(sK0,sK3) ),
introduced(definition,[new_symbols(definition,[spl4_37])],[avatar_definition]) ).
fof(f568,plain,
( positional_advantage(sK0,sK3)
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f569,plain,
( spl4_36
| spl4_37
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f556,f449,f566,f562]) ).
fof(f811,plain,
( ~ greater(high,low)
| spl4_2
| ~ spl4_6
| ~ spl4_23 ),
inference(superposition,[],[f248,f455]) ).
fof(f837,plain,
( $false
| spl4_2
| ~ spl4_6
| ~ spl4_23 ),
inference(forward_subsumption_resolution,[],[f811,f306]) ).
fof(f838,plain,
( spl4_2
| ~ spl4_6
| ~ spl4_23 ),
inference(avatar_contradiction_clause,[],[f837]) ).
fof(f842,plain,
( ~ greater(sigma,sigma)
| ~ spl4_4 ),
inference(forward_demodulation,[],[f181,f118]) ).
fof(f859,plain,
( dissimilar(sK0,sK1,sK2)
| spl4_6 ),
inference(resolution,[],[f204,f182]) ).
fof(f1161,plain,
( greater(age(sK0,sK2),sigma)
| zero != age(sK0,sK1)
| spl4_6 ),
inference(resolution,[],[f859,f159]) ).
fof(f1164,plain,
( greater(age(sK0,sK2),sigma)
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f1161,f75]) ).
fof(f1165,plain,
( greater(sigma,sigma)
| ~ spl4_4
| spl4_6 ),
inference(forward_demodulation,[],[f1164,f118]) ).
fof(f1166,plain,
( $false
| ~ spl4_4
| spl4_6 ),
inference(forward_subsumption_resolution,[],[f1165,f842]) ).
fof(f1167,plain,
( ~ spl4_4
| spl4_6 ),
inference(avatar_contradiction_clause,[],[f1166]) ).
fof(f1170,plain,
( ~ greater(mod2,low)
| spl4_2
| ~ spl4_6
| ~ spl4_36 ),
inference(forward_demodulation,[],[f248,f564]) ).
fof(f1172,plain,
( $false
| spl4_2
| ~ spl4_6
| ~ spl4_36 ),
inference(forward_subsumption_resolution,[],[f1170,f71]) ).
fof(f1173,plain,
( spl4_2
| ~ spl4_6
| ~ spl4_36 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1230,plain,
( ~ greater(age(sK0,sK3),sigma)
| ~ spl4_37 ),
inference(resolution,[],[f568,f142]) ).
fof(f1231,plain,
( $false
| ~ spl4_37 ),
inference(forward_subsumption_resolution,[],[f1230,f72]) ).
fof(f1232,plain,
~ spl4_37,
inference(avatar_contradiction_clause,[],[f1231]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f88]) ).
cnf(s2,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f119]) ).
cnf(s5,plain,
( ~ spl4_3
| spl4_6 ),
inference(sat_conversion,[],[f227]) ).
cnf(s6,plain,
( spl4_1
| ~ spl4_6 ),
inference(sat_conversion,[],[f245]) ).
cnf(s15,plain,
( spl4_22
| spl4_23 ),
inference(sat_conversion,[],[f456]) ).
cnf(s23,plain,
( ~ spl4_22
| spl4_36
| spl4_37 ),
inference(sat_conversion,[],[f569]) ).
cnf(s33,plain,
( spl4_2
| ~ spl4_6
| ~ spl4_23 ),
inference(sat_conversion,[],[f838]) ).
cnf(s42,plain,
( ~ spl4_4
| spl4_6 ),
inference(sat_conversion,[],[f1167]) ).
cnf(s43,plain,
( spl4_2
| ~ spl4_6
| ~ spl4_36 ),
inference(sat_conversion,[],[f1173]) ).
cnf(s49,plain,
~ spl4_37,
inference(sat_conversion,[],[f1232]) ).
cnf(s51,plain,
( ~ spl4_22
| spl4_36 ),
inference(rat,[],[s23,s49]) ).
cnf(s52,plain,
spl4_6,
inference(rat,[],[s2,s5,s42]) ).
cnf(s53,plain,
spl4_1,
inference(rat,[],[s6,s52]) ).
cnf(s54,plain,
~ spl4_2,
inference(rat,[],[s1,s53]) ).
cnf(s55,plain,
~ spl4_36,
inference(rat,[],[s43,s52,s54]) ).
cnf(s56,plain,
~ spl4_23,
inference(rat,[],[s33,s52,s54]) ).
cnf(s57,plain,
~ spl4_22,
inference(rat,[],[s51,s55]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s15,s56,s57]) ).
fof(f1233,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT061+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.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 17:34:16 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 0.17/0.47 % (1885565)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (1885575)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=55133150:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % (1885571)% WARNING: option uhcvi not known.
% 0.17/0.47 % (1885570)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1629976214_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (1885571)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=378768265:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (1885572)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=18954908:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (1885573)dis+10_1_sil=32000:sp=arity:random_seed=2506692509:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (1885574)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2085375364:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (1885576)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3581962983:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % (1885575) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1885565-1885575"...
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % (1885573) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1885565-1885573"...
% 0.17/0.47 % (1885575)...printing done.
% 0.17/0.47 % (1885575)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (1885575)------------------------------
% 0.17/0.47 % (1885575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (1885575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (1885575)CaDiCaL version: 2.1.3
% 0.17/0.47 % (1885575)Termination reason: Refutation
% 0.17/0.47 % (1885575)Time elapsed: 0.015 s
% 0.17/0.47 % (1885575)Peak memory usage: 13 MB
% 0.17/0.47 % (1885575)Instructions burned: 41 (million)
% 0.17/0.47 % (1885565)Success in time 0.045 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------