%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MGT064+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 0.92s 1.03s
% Output : Refutation 3.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 40
% Syntax : Number of formulae : 288 ( 53 unt; 26 def)
% Number of atoms : 854 ( 91 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 959 ( 393 ~; 415 |; 97 &)
% ( 35 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 27 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 171 ( 0 sgn 161 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( smaller(X0,X1)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f6,axiom,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f8,axiom,
! [X0,X1] :
( ( organization(X0)
& ~ has_endowment(X0) )
=> ~ has_immunity(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_1) ).
fof(f9,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(f10,axiom,
! [X0,X1] :
( ( organization(X0)
& age(X0,X1) = zero )
=> is_aligned(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_13) ).
fof(f11,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(f12,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(f13,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(f15,axiom,
greater(mod1,low),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_18b) ).
fof(f19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_19) ).
fof(f20,conjecture,
! [X0,X1,X2,X3,X4] :
( ( organization(X0)
& robust_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma) )
=> ( smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4))
& smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',theorem_10) ).
fof(f21,negated_conjecture,
~ ! [X0,X1,X2,X3,X4] :
( ( organization(X0)
& robust_position(X0)
& ~ has_endowment(X0)
& age(X0,X1) = zero
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma) )
=> ( smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4))
& smaller(hazard_of_mortality(X0,X4),hazard_of_mortality(X0,X2))
& hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f20]) ).
fof(f22,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,[],[f12]) ).
fof(f23,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f25,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(flattening,[],[f24]) ).
fof(f27,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f28,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( organization(X0)
& ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(ennf_transformation,[],[f11]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(flattening,[],[f32]) ).
fof(f34,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,[],[f22]) ).
fof(f35,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,[],[f13]) ).
fof(f36,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,[],[f35]) ).
fof(f37,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4))
| ~ smaller(hazard_of_mortality(X0,X4),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)
& greater(sigma,tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma) ),
inference(ennf_transformation,[],[f21]) ).
fof(f38,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4))
| ~ smaller(hazard_of_mortality(X0,X4),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)
& greater(sigma,tau)
& smaller_or_equal(age(X0,X2),tau)
& greater(age(X0,X3),tau)
& smaller_or_equal(age(X0,X3),sigma)
& greater(age(X0,X4),sigma) ),
inference(flattening,[],[f37]) ).
fof(f39,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(f40,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,[],[f39]) ).
fof(f41,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f45,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,[],[f29]) ).
fof(f46,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,[],[f45]) ).
fof(f47,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,[],[f33]) ).
fof(f48,plain,
( ( ~ smaller(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK5))
| ~ smaller(hazard_of_mortality(sK1,sK5),hazard_of_mortality(sK1,sK3))
| hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK2) )
& organization(sK1)
& robust_position(sK1)
& ~ has_endowment(sK1)
& zero = age(sK1,sK2)
& greater(sigma,zero)
& greater(tau,zero)
& greater(sigma,tau)
& smaller_or_equal(age(sK1,sK3),tau)
& greater(age(sK1,sK4),tau)
& smaller_or_equal(age(sK1,sK4),sigma)
& greater(age(sK1,sK5),sigma) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f38]) ).
fof(f49,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f51,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f52,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f53,plain,
! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f54,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f55,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X0,X1)
| ~ greater(X1,X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f56,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f64,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f66,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f67,plain,
! [X2,X0,X1] :
( organization(X0)
| ~ dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f68,plain,
! [X2,X0,X1] :
( is_aligned(X0,X2)
| ~ organization(X0)
| dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f31]) ).
fof(f71,plain,
! [X2,X0,X1] :
( age(X0,X1) != zero
| ~ greater(age(X0,X2),sigma)
| ~ organization(X0)
| dissimilar(X0,X1,X2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| ~ organization(X0)
| age(X0,X1) != zero ),
inference(cnf_transformation,[],[f47]) ).
fof(f73,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f74,plain,
! [X0,X1] :
( ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f76,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| hazard_of_mortality(X0,X1) = mod2
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f77,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,[],[f36]) ).
fof(f78,plain,
! [X0,X1] :
( hazard_of_mortality(X0,X1) = low
| ~ is_aligned(X0,X1)
| ~ positional_advantage(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f81,plain,
greater(mod1,low),
inference(cnf_transformation,[],[f15]) ).
fof(f85,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f19]) ).
fof(f86,plain,
greater(age(sK1,sK5),sigma),
inference(cnf_transformation,[],[f48]) ).
fof(f87,plain,
smaller_or_equal(age(sK1,sK4),sigma),
inference(cnf_transformation,[],[f48]) ).
fof(f88,plain,
greater(age(sK1,sK4),tau),
inference(cnf_transformation,[],[f48]) ).
fof(f89,plain,
smaller_or_equal(age(sK1,sK3),tau),
inference(cnf_transformation,[],[f48]) ).
fof(f90,plain,
greater(sigma,tau),
inference(cnf_transformation,[],[f48]) ).
fof(f91,plain,
greater(tau,zero),
inference(cnf_transformation,[],[f48]) ).
fof(f93,plain,
zero = age(sK1,sK2),
inference(cnf_transformation,[],[f48]) ).
fof(f94,plain,
~ has_endowment(sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f95,plain,
robust_position(sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f96,plain,
organization(sK1),
inference(cnf_transformation,[],[f48]) ).
fof(f97,plain,
( ~ smaller(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK5))
| ~ smaller(hazard_of_mortality(sK1,sK5),hazard_of_mortality(sK1,sK3))
| hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f100,definition,
( spl6_1
<=> hazard_of_mortality(sK1,sK3) = hazard_of_mortality(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f102,plain,
( hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK2)
| spl6_1 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f104,definition,
( spl6_2
<=> smaller(hazard_of_mortality(sK1,sK5),hazard_of_mortality(sK1,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f106,plain,
( ~ smaller(hazard_of_mortality(sK1,sK5),hazard_of_mortality(sK1,sK3))
| spl6_2 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f108,definition,
( spl6_3
<=> smaller(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK5)) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f110,plain,
( ~ smaller(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK5))
| spl6_3 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_3 ),
inference(avatar_split_clause,[],[f97,f108,f104,f100]) ).
fof(f112,plain,
! [X0,X1] :
( smaller_or_equal(X1,X0)
| ~ greater(X0,X1) ),
inference(resolution,[],[f53,f51]) ).
fof(f113,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| ~ greater(X0,X1) ),
inference(resolution,[],[f54,f52]) ).
fof(f116,plain,
~ greater(tau,sigma),
inference(resolution,[],[f54,f90]) ).
fof(f125,plain,
! [X0] : ~ greater(X0,X0),
inference(factoring,[],[f54]) ).
fof(f142,plain,
! [X0] :
( ~ greater(tau,X0)
| ~ greater(X0,sigma) ),
inference(resolution,[],[f55,f116]) ).
fof(f187,plain,
! [X0] :
( ~ smaller_or_equal(age(sK1,X0),tau)
| ~ positional_advantage(sK1,X0) ),
inference(resolution,[],[f74,f95]) ).
fof(f202,plain,
! [X0] :
( ~ greater(X0,sigma)
| ~ smaller(X0,tau) ),
inference(resolution,[],[f142,f52]) ).
fof(f210,plain,
~ smaller(age(sK1,sK5),tau),
inference(resolution,[],[f202,f86]) ).
fof(f211,plain,
( tau = age(sK1,sK5)
| greater(age(sK1,sK5),tau) ),
inference(resolution,[],[f210,f56]) ).
fof(f219,definition,
( spl6_15
<=> tau = age(sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_15])],[avatar_definition]) ).
fof(f221,plain,
( tau = age(sK1,sK5)
| ~ spl6_15 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f224,definition,
( spl6_16
<=> greater(age(sK1,sK5),tau) ),
introduced(definition,[new_symbols(definition,[spl6_16])],[avatar_definition]) ).
fof(f226,plain,
( greater(age(sK1,sK5),tau)
| ~ spl6_16 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f227,plain,
( spl6_16
| spl6_15 ),
inference(avatar_split_clause,[],[f211,f219,f224]) ).
fof(f228,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK1,X0),sigma)
| ~ organization(sK1)
| dissimilar(sK1,sK2,X0) ),
inference(superposition,[],[f71,f93]) ).
fof(f229,plain,
! [X0] :
( ~ greater(age(sK1,X0),sigma)
| ~ organization(sK1)
| dissimilar(sK1,sK2,X0) ),
inference(trivial_inequality_removal,[],[f228]) ).
fof(f230,plain,
! [X0] :
( dissimilar(sK1,sK2,X0)
| ~ greater(age(sK1,X0),sigma) ),
inference(forward_subsumption_resolution,[],[f229,f96]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),sigma)
| age(X0,X1) != zero ),
inference(forward_subsumption_resolution,[],[f72,f67]) ).
fof(f234,plain,
( greater(tau,sigma)
| ~ spl6_15 ),
inference(superposition,[],[f86,f221]) ).
fof(f244,plain,
( $false
| ~ spl6_15 ),
inference(forward_subsumption_resolution,[],[f234,f116]) ).
fof(f245,plain,
~ spl6_15,
inference(avatar_contradiction_clause,[],[f244]) ).
fof(f257,definition,
( spl6_18
<=> has_immunity(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_18])],[avatar_definition]) ).
fof(f258,plain,
( ~ has_immunity(sK1,sK2)
| spl6_18 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f259,plain,
( has_immunity(sK1,sK2)
| ~ spl6_18 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f261,definition,
( spl6_19
<=> positional_advantage(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_19])],[avatar_definition]) ).
fof(f262,plain,
( positional_advantage(sK1,sK2)
| ~ spl6_19 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f263,plain,
( ~ positional_advantage(sK1,sK2)
| spl6_19 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f265,definition,
( spl6_20
<=> is_aligned(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_20])],[avatar_definition]) ).
fof(f266,plain,
( is_aligned(sK1,sK2)
| ~ spl6_20 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f267,plain,
( ~ is_aligned(sK1,sK2)
| spl6_20 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f286,definition,
( spl6_23
<=> mod2 = hazard_of_mortality(sK1,sK2) ),
introduced(definition,[new_symbols(definition,[spl6_23])],[avatar_definition]) ).
fof(f288,plain,
( mod2 = hazard_of_mortality(sK1,sK2)
| ~ spl6_23 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f291,plain,
( ~ organization(sK1)
| has_endowment(sK1)
| ~ spl6_18 ),
inference(resolution,[],[f259,f64]) ).
fof(f292,plain,
( has_endowment(sK1)
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f291,f96]) ).
fof(f294,plain,
( $false
| ~ spl6_18 ),
inference(forward_subsumption_resolution,[],[f292,f94]) ).
fof(f295,plain,
~ spl6_18,
inference(avatar_contradiction_clause,[],[f294]) ).
fof(f299,plain,
( ~ organization(sK1)
| zero != age(sK1,sK2)
| spl6_20 ),
inference(resolution,[],[f267,f70]) ).
fof(f301,plain,
( zero != age(sK1,sK2)
| spl6_20 ),
inference(forward_subsumption_resolution,[],[f299,f96]) ).
fof(f305,plain,
( $false
| spl6_20 ),
inference(forward_subsumption_resolution,[],[f301,f93]) ).
fof(f306,plain,
spl6_20,
inference(avatar_contradiction_clause,[],[f305]) ).
fof(f313,definition,
( spl6_24
<=> has_immunity(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_24])],[avatar_definition]) ).
fof(f315,plain,
( has_immunity(sK1,sK3)
| ~ spl6_24 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f317,definition,
( spl6_25
<=> positional_advantage(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_25])],[avatar_definition]) ).
fof(f319,plain,
( ~ positional_advantage(sK1,sK3)
| spl6_25 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f321,definition,
( spl6_26
<=> is_aligned(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_26])],[avatar_definition]) ).
fof(f323,plain,
( ~ is_aligned(sK1,sK3)
| spl6_26 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f325,plain,
~ positional_advantage(sK1,sK3),
inference(resolution,[],[f187,f89]) ).
fof(f326,plain,
( ~ smaller_or_equal(zero,tau)
| ~ positional_advantage(sK1,sK2) ),
inference(superposition,[],[f187,f93]) ).
fof(f327,plain,
( ~ smaller_or_equal(zero,tau)
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f326,f262]) ).
fof(f328,plain,
~ spl6_25,
inference(avatar_split_clause,[],[f325,f317]) ).
fof(f329,plain,
( ~ is_aligned(sK1,sK3)
| mod2 = hazard_of_mortality(sK1,sK3)
| has_immunity(sK1,sK3)
| ~ organization(sK1)
| spl6_25 ),
inference(resolution,[],[f319,f76]) ).
fof(f331,plain,
( ~ greater(age(sK1,sK3),tau)
| ~ robust_position(sK1)
| spl6_25 ),
inference(resolution,[],[f319,f73]) ).
fof(f332,plain,
( ~ greater(age(sK1,sK3),tau)
| spl6_25 ),
inference(forward_subsumption_resolution,[],[f331,f95]) ).
fof(f334,plain,
( ~ is_aligned(sK1,sK3)
| mod2 = hazard_of_mortality(sK1,sK3)
| has_immunity(sK1,sK3)
| spl6_25 ),
inference(forward_subsumption_resolution,[],[f329,f96]) ).
fof(f341,definition,
( spl6_28
<=> mod2 = hazard_of_mortality(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_28])],[avatar_definition]) ).
fof(f343,plain,
( mod2 = hazard_of_mortality(sK1,sK3)
| ~ spl6_28 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f344,plain,
( spl6_24
| spl6_28
| ~ spl6_26
| spl6_25 ),
inference(avatar_split_clause,[],[f334,f317,f321,f341,f313]) ).
fof(f346,plain,
! [X0] :
( ~ greater(age(sK1,X0),sigma)
| ~ is_aligned(sK1,sK2)
| ~ is_aligned(sK1,X0) ),
inference(resolution,[],[f230,f66]) ).
fof(f347,plain,
( ! [X0] :
( ~ greater(age(sK1,X0),sigma)
| ~ is_aligned(sK1,X0) )
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f346,f266]) ).
fof(f349,plain,
( ~ organization(sK1)
| has_endowment(sK1)
| ~ spl6_24 ),
inference(resolution,[],[f315,f64]) ).
fof(f350,plain,
( has_endowment(sK1)
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f349,f96]) ).
fof(f352,plain,
( $false
| ~ spl6_24 ),
inference(forward_subsumption_resolution,[],[f350,f94]) ).
fof(f353,plain,
~ spl6_24,
inference(avatar_contradiction_clause,[],[f352]) ).
fof(f360,plain,
( ! [X0] :
( ~ organization(sK1)
| dissimilar(sK1,X0,sK3)
| ~ is_aligned(sK1,X0) )
| spl6_26 ),
inference(resolution,[],[f323,f68]) ).
fof(f364,plain,
( ! [X0] :
( dissimilar(sK1,X0,sK3)
| ~ is_aligned(sK1,X0) )
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f360,f96]) ).
fof(f371,plain,
( ~ smaller(tau,age(sK1,sK3))
| spl6_25 ),
inference(resolution,[],[f332,f52]) ).
fof(f385,plain,
( ~ greater(tau,zero)
| ~ spl6_19 ),
inference(resolution,[],[f112,f327]) ).
fof(f389,plain,
( $false
| ~ spl6_19 ),
inference(forward_subsumption_resolution,[],[f385,f91]) ).
fof(f390,plain,
~ spl6_19,
inference(avatar_contradiction_clause,[],[f389]) ).
fof(f396,plain,
( ~ is_aligned(sK1,sK2)
| mod2 = hazard_of_mortality(sK1,sK2)
| has_immunity(sK1,sK2)
| ~ organization(sK1)
| spl6_19 ),
inference(resolution,[],[f263,f76]) ).
fof(f400,plain,
( mod2 = hazard_of_mortality(sK1,sK2)
| has_immunity(sK1,sK2)
| ~ organization(sK1)
| spl6_19
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f396,f266]) ).
fof(f402,plain,
( mod2 = hazard_of_mortality(sK1,sK2)
| ~ organization(sK1)
| spl6_18
| spl6_19
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f400,f258]) ).
fof(f403,plain,
( mod2 = hazard_of_mortality(sK1,sK2)
| spl6_18
| spl6_19
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f402,f96]) ).
fof(f404,plain,
( spl6_23
| spl6_18
| spl6_19
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f403,f265,f261,f257,f286]) ).
fof(f406,plain,
! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| X0 = X1
| ~ greater(X0,X1) ),
inference(resolution,[],[f113,f49]) ).
fof(f409,plain,
( mod2 != hazard_of_mortality(sK1,sK3)
| spl6_1
| ~ spl6_23 ),
inference(superposition,[],[f102,f288]) ).
fof(f456,plain,
( tau = age(sK1,sK3)
| greater(tau,age(sK1,sK3))
| spl6_25 ),
inference(resolution,[],[f371,f56]) ).
fof(f464,definition,
( spl6_34
<=> tau = age(sK1,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_34])],[avatar_definition]) ).
fof(f466,plain,
( tau = age(sK1,sK3)
| ~ spl6_34 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f469,definition,
( spl6_35
<=> greater(tau,age(sK1,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_35])],[avatar_definition]) ).
fof(f471,plain,
( greater(tau,age(sK1,sK3))
| ~ spl6_35 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f472,plain,
( spl6_35
| spl6_34
| spl6_25 ),
inference(avatar_split_clause,[],[f456,f317,f464,f469]) ).
fof(f477,plain,
( ~ is_aligned(sK1,sK5)
| ~ spl6_20 ),
inference(resolution,[],[f347,f86]) ).
fof(f481,plain,
( mod1 = hazard_of_mortality(sK1,sK5)
| ~ positional_advantage(sK1,sK5)
| has_immunity(sK1,sK5)
| ~ organization(sK1)
| ~ spl6_20 ),
inference(resolution,[],[f477,f77]) ).
fof(f489,plain,
( mod1 = hazard_of_mortality(sK1,sK5)
| ~ positional_advantage(sK1,sK5)
| has_immunity(sK1,sK5)
| ~ spl6_20 ),
inference(forward_subsumption_resolution,[],[f481,f96]) ).
fof(f492,definition,
( spl6_36
<=> has_immunity(sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_36])],[avatar_definition]) ).
fof(f494,plain,
( has_immunity(sK1,sK5)
| ~ spl6_36 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f496,definition,
( spl6_37
<=> positional_advantage(sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_37])],[avatar_definition]) ).
fof(f498,plain,
( ~ positional_advantage(sK1,sK5)
| spl6_37 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f500,definition,
( spl6_38
<=> mod1 = hazard_of_mortality(sK1,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_38])],[avatar_definition]) ).
fof(f502,plain,
( mod1 = hazard_of_mortality(sK1,sK5)
| ~ spl6_38 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f503,plain,
( spl6_36
| ~ spl6_37
| spl6_38
| ~ spl6_20 ),
inference(avatar_split_clause,[],[f489,f265,f500,f496,f492]) ).
fof(f509,plain,
( ~ greater(age(sK1,sK5),tau)
| ~ robust_position(sK1)
| spl6_37 ),
inference(resolution,[],[f498,f73]) ).
fof(f510,plain,
( ~ robust_position(sK1)
| ~ spl6_16
| spl6_37 ),
inference(forward_subsumption_resolution,[],[f509,f226]) ).
fof(f512,plain,
( $false
| ~ spl6_16
| spl6_37 ),
inference(forward_subsumption_resolution,[],[f510,f95]) ).
fof(f513,plain,
( ~ spl6_16
| spl6_37 ),
inference(avatar_contradiction_clause,[],[f512]) ).
fof(f521,plain,
( ~ organization(sK1)
| has_endowment(sK1)
| ~ spl6_36 ),
inference(resolution,[],[f494,f64]) ).
fof(f522,plain,
( has_endowment(sK1)
| ~ spl6_36 ),
inference(forward_subsumption_resolution,[],[f521,f96]) ).
fof(f524,plain,
( $false
| ~ spl6_36 ),
inference(forward_subsumption_resolution,[],[f522,f94]) ).
fof(f525,plain,
~ spl6_36,
inference(avatar_contradiction_clause,[],[f524]) ).
fof(f648,plain,
( ! [X0] :
( ~ is_aligned(sK1,X0)
| greater(age(sK1,sK3),sigma)
| zero != age(sK1,X0) )
| spl6_26 ),
inference(resolution,[],[f364,f233]) ).
fof(f651,plain,
( ! [X0] :
( greater(tau,sigma)
| ~ is_aligned(sK1,X0)
| zero != age(sK1,X0) )
| spl6_26
| ~ spl6_34 ),
inference(forward_demodulation,[],[f648,f466]) ).
fof(f652,plain,
( ! [X0] :
( zero != age(sK1,X0)
| ~ is_aligned(sK1,X0) )
| spl6_26
| ~ spl6_34 ),
inference(forward_subsumption_resolution,[],[f651,f116]) ).
fof(f670,plain,
( sigma = age(sK1,sK4)
| ~ greater(age(sK1,sK4),sigma) ),
inference(resolution,[],[f406,f87]) ).
fof(f678,definition,
( spl6_51
<=> greater(age(sK1,sK4),sigma) ),
introduced(definition,[new_symbols(definition,[spl6_51])],[avatar_definition]) ).
fof(f680,plain,
( ~ greater(age(sK1,sK4),sigma)
| spl6_51 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f682,definition,
( spl6_52
<=> sigma = age(sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_52])],[avatar_definition]) ).
fof(f684,plain,
( sigma = age(sK1,sK4)
| ~ spl6_52 ),
inference(avatar_component_clause,[],[f682]) ).
fof(f685,plain,
( ~ spl6_51
| spl6_52 ),
inference(avatar_split_clause,[],[f670,f682,f678]) ).
fof(f769,plain,
( zero != zero
| ~ is_aligned(sK1,sK2)
| spl6_26
| ~ spl6_34 ),
inference(superposition,[],[f652,f93]) ).
fof(f772,plain,
( ~ is_aligned(sK1,sK2)
| spl6_26
| ~ spl6_34 ),
inference(trivial_inequality_removal,[],[f769]) ).
fof(f773,plain,
( $false
| ~ spl6_20
| spl6_26
| ~ spl6_34 ),
inference(forward_subsumption_resolution,[],[f772,f266]) ).
fof(f774,plain,
( ~ spl6_20
| spl6_26
| ~ spl6_34 ),
inference(avatar_contradiction_clause,[],[f773]) ).
fof(f799,plain,
( ~ smaller(hazard_of_mortality(sK1,sK4),mod1)
| spl6_3
| ~ spl6_38 ),
inference(forward_demodulation,[],[f110,f502]) ).
fof(f820,definition,
( spl6_61
<=> has_immunity(sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_61])],[avatar_definition]) ).
fof(f821,plain,
( ~ has_immunity(sK1,sK4)
| spl6_61 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f822,plain,
( has_immunity(sK1,sK4)
| ~ spl6_61 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f824,definition,
( spl6_62
<=> positional_advantage(sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_62])],[avatar_definition]) ).
fof(f825,plain,
( positional_advantage(sK1,sK4)
| ~ spl6_62 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f826,plain,
( ~ positional_advantage(sK1,sK4)
| spl6_62 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f828,definition,
( spl6_63
<=> is_aligned(sK1,sK4) ),
introduced(definition,[new_symbols(definition,[spl6_63])],[avatar_definition]) ).
fof(f830,plain,
( ~ is_aligned(sK1,sK4)
| spl6_63 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f832,definition,
( spl6_64
<=> smaller(low,mod1) ),
introduced(definition,[new_symbols(definition,[spl6_64])],[avatar_definition]) ).
fof(f834,plain,
( ~ smaller(low,mod1)
| spl6_64 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f836,plain,
( ~ smaller(hazard_of_mortality(sK1,sK5),mod2)
| spl6_2
| ~ spl6_28 ),
inference(forward_demodulation,[],[f106,f343]) ).
fof(f838,plain,
( ~ smaller(mod1,mod2)
| spl6_2
| ~ spl6_28
| ~ spl6_38 ),
inference(forward_demodulation,[],[f836,f502]) ).
fof(f841,plain,
( ~ greater(mod2,mod1)
| spl6_2
| ~ spl6_28
| ~ spl6_38 ),
inference(resolution,[],[f838,f53]) ).
fof(f842,plain,
( $false
| spl6_2
| ~ spl6_28
| ~ spl6_38 ),
inference(forward_subsumption_resolution,[],[f841,f85]) ).
fof(f843,plain,
( spl6_2
| ~ spl6_28
| ~ spl6_38 ),
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f854,plain,
( ~ spl6_28
| spl6_1
| ~ spl6_23 ),
inference(avatar_split_clause,[],[f409,f286,f100,f341]) ).
fof(f897,plain,
( ~ greater(age(sK1,sK4),tau)
| ~ robust_position(sK1)
| spl6_62 ),
inference(resolution,[],[f826,f73]) ).
fof(f898,plain,
( ~ robust_position(sK1)
| spl6_62 ),
inference(forward_subsumption_resolution,[],[f897,f88]) ).
fof(f900,plain,
( $false
| spl6_62 ),
inference(forward_subsumption_resolution,[],[f898,f95]) ).
fof(f901,plain,
spl6_62,
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f913,plain,
( ! [X0] :
( ~ organization(sK1)
| dissimilar(sK1,X0,sK3)
| ~ is_aligned(sK1,X0) )
| spl6_26 ),
inference(resolution,[],[f323,f68]) ).
fof(f917,plain,
( ! [X0] :
( dissimilar(sK1,X0,sK3)
| ~ is_aligned(sK1,X0) )
| spl6_26 ),
inference(forward_subsumption_resolution,[],[f913,f96]) ).
fof(f929,plain,
( ~ organization(sK1)
| has_endowment(sK1)
| ~ spl6_61 ),
inference(resolution,[],[f822,f64]) ).
fof(f930,plain,
( has_endowment(sK1)
| ~ spl6_61 ),
inference(forward_subsumption_resolution,[],[f929,f96]) ).
fof(f932,plain,
( $false
| ~ spl6_61 ),
inference(forward_subsumption_resolution,[],[f930,f94]) ).
fof(f933,plain,
~ spl6_61,
inference(avatar_contradiction_clause,[],[f932]) ).
fof(f1028,plain,
( ! [X0] :
( ~ is_aligned(sK1,X0)
| greater(age(sK1,sK3),sigma)
| zero != age(sK1,X0) )
| spl6_26 ),
inference(resolution,[],[f917,f233]) ).
fof(f1032,definition,
( spl6_71
<=> greater(age(sK1,sK3),sigma) ),
introduced(definition,[new_symbols(definition,[spl6_71])],[avatar_definition]) ).
fof(f1036,definition,
( spl6_72
<=> ! [X0] :
( ~ is_aligned(sK1,X0)
| zero != age(sK1,X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_72])],[avatar_definition]) ).
fof(f1037,plain,
( ! [X0] :
( zero != age(sK1,X0)
| ~ is_aligned(sK1,X0) )
| ~ spl6_72 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1038,plain,
( spl6_71
| spl6_72
| spl6_26 ),
inference(avatar_split_clause,[],[f1028,f321,f1036,f1032]) ).
fof(f1130,plain,
( ~ greater(age(sK1,sK3),sigma)
| ~ spl6_35 ),
inference(resolution,[],[f471,f142]) ).
fof(f1136,plain,
( ~ spl6_71
| ~ spl6_35 ),
inference(avatar_split_clause,[],[f1130,f469,f1032]) ).
fof(f1389,plain,
( zero != zero
| ~ is_aligned(sK1,sK2)
| ~ spl6_72 ),
inference(superposition,[],[f1037,f93]) ).
fof(f1391,plain,
( ~ is_aligned(sK1,sK2)
| ~ spl6_72 ),
inference(trivial_inequality_removal,[],[f1389]) ).
fof(f1392,plain,
( $false
| ~ spl6_20
| ~ spl6_72 ),
inference(forward_subsumption_resolution,[],[f1391,f266]) ).
fof(f1393,plain,
( ~ spl6_20
| ~ spl6_72 ),
inference(avatar_contradiction_clause,[],[f1392]) ).
fof(f1444,plain,
( ~ smaller(low,mod1)
| ~ is_aligned(sK1,sK4)
| ~ positional_advantage(sK1,sK4)
| has_immunity(sK1,sK4)
| ~ organization(sK1)
| spl6_3
| ~ spl6_38 ),
inference(superposition,[],[f799,f78]) ).
fof(f1457,plain,
( ~ greater(mod1,low)
| spl6_64 ),
inference(resolution,[],[f834,f53]) ).
fof(f1458,plain,
( $false
| spl6_64 ),
inference(forward_subsumption_resolution,[],[f1457,f81]) ).
fof(f1459,plain,
spl6_64,
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1470,plain,
( ~ smaller(low,mod1)
| ~ is_aligned(sK1,sK4)
| has_immunity(sK1,sK4)
| ~ organization(sK1)
| spl6_3
| ~ spl6_38
| ~ spl6_62 ),
inference(forward_subsumption_resolution,[],[f1444,f825]) ).
fof(f1475,plain,
( ~ smaller(low,mod1)
| ~ is_aligned(sK1,sK4)
| ~ organization(sK1)
| spl6_3
| ~ spl6_38
| spl6_61
| ~ spl6_62 ),
inference(forward_subsumption_resolution,[],[f1470,f821]) ).
fof(f1480,plain,
( ~ smaller(low,mod1)
| ~ is_aligned(sK1,sK4)
| spl6_3
| ~ spl6_38
| spl6_61
| ~ spl6_62 ),
inference(forward_subsumption_resolution,[],[f1475,f96]) ).
fof(f1493,plain,
( ~ spl6_63
| ~ spl6_64
| spl6_3
| ~ spl6_38
| spl6_61
| ~ spl6_62 ),
inference(avatar_split_clause,[],[f1480,f824,f820,f500,f108,f832,f828]) ).
fof(f1498,plain,
( ! [X0] :
( ~ organization(sK1)
| dissimilar(sK1,X0,sK4)
| ~ is_aligned(sK1,X0) )
| spl6_63 ),
inference(resolution,[],[f830,f68]) ).
fof(f1502,plain,
( ! [X0] :
( dissimilar(sK1,X0,sK4)
| ~ is_aligned(sK1,X0) )
| spl6_63 ),
inference(forward_subsumption_resolution,[],[f1498,f96]) ).
fof(f1566,plain,
( ! [X0] :
( ~ is_aligned(sK1,X0)
| greater(age(sK1,sK4),sigma)
| zero != age(sK1,X0) )
| spl6_63 ),
inference(resolution,[],[f1502,f233]) ).
fof(f1569,plain,
( ! [X0] :
( ~ is_aligned(sK1,X0)
| zero != age(sK1,X0) )
| spl6_51
| spl6_63 ),
inference(forward_subsumption_resolution,[],[f1566,f680]) ).
fof(f1570,plain,
( spl6_72
| spl6_51
| spl6_63 ),
inference(avatar_split_clause,[],[f1569,f828,f678,f1036]) ).
fof(f1572,plain,
( ! [X0] :
( greater(sigma,sigma)
| ~ is_aligned(sK1,X0)
| zero != age(sK1,X0) )
| ~ spl6_52
| spl6_63 ),
inference(forward_demodulation,[],[f1566,f684]) ).
fof(f1575,plain,
( ! [X0] :
( ~ is_aligned(sK1,X0)
| zero != age(sK1,X0) )
| ~ spl6_52
| spl6_63 ),
inference(forward_subsumption_resolution,[],[f1572,f125]) ).
fof(f1576,plain,
( spl6_72
| ~ spl6_52
| spl6_63 ),
inference(avatar_split_clause,[],[f1575,f828,f682,f1036]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2
| ~ spl6_3 ),
inference(sat_conversion,[],[f111]) ).
cnf(s8,plain,
( spl6_15
| spl6_16 ),
inference(sat_conversion,[],[f227]) ).
cnf(s10,plain,
~ spl6_15,
inference(sat_conversion,[],[f245]) ).
cnf(s15,plain,
~ spl6_18,
inference(sat_conversion,[],[f295]) ).
cnf(s16,plain,
spl6_20,
inference(sat_conversion,[],[f306]) ).
cnf(s18,plain,
~ spl6_25,
inference(sat_conversion,[],[f328]) ).
cnf(s20,plain,
( spl6_24
| spl6_25
| ~ spl6_26
| spl6_28 ),
inference(sat_conversion,[],[f344]) ).
cnf(s21,plain,
~ spl6_24,
inference(sat_conversion,[],[f353]) ).
cnf(s22,plain,
~ spl6_19,
inference(sat_conversion,[],[f390]) ).
cnf(s24,plain,
( spl6_18
| spl6_19
| ~ spl6_20
| spl6_23 ),
inference(sat_conversion,[],[f404]) ).
cnf(s28,plain,
( spl6_25
| spl6_34
| spl6_35 ),
inference(sat_conversion,[],[f472]) ).
cnf(s30,plain,
( ~ spl6_20
| spl6_36
| ~ spl6_37
| spl6_38 ),
inference(sat_conversion,[],[f503]) ).
cnf(s31,plain,
( ~ spl6_16
| spl6_37 ),
inference(sat_conversion,[],[f513]) ).
cnf(s33,plain,
~ spl6_36,
inference(sat_conversion,[],[f525]) ).
cnf(s42,plain,
( ~ spl6_51
| spl6_52 ),
inference(sat_conversion,[],[f685]) ).
cnf(s46,plain,
( ~ spl6_20
| spl6_26
| ~ spl6_34 ),
inference(sat_conversion,[],[f774]) ).
cnf(s56,plain,
( spl6_2
| ~ spl6_28
| ~ spl6_38 ),
inference(sat_conversion,[],[f843]) ).
cnf(s60,plain,
( spl6_1
| ~ spl6_23
| ~ spl6_28 ),
inference(sat_conversion,[],[f854]) ).
cnf(s70,plain,
spl6_62,
inference(sat_conversion,[],[f901]) ).
cnf(s74,plain,
~ spl6_61,
inference(sat_conversion,[],[f933]) ).
cnf(s88,plain,
( spl6_26
| spl6_71
| spl6_72 ),
inference(sat_conversion,[],[f1038]) ).
cnf(s95,plain,
( ~ spl6_35
| ~ spl6_71 ),
inference(sat_conversion,[],[f1136]) ).
cnf(s122,plain,
( ~ spl6_20
| ~ spl6_72 ),
inference(sat_conversion,[],[f1393]) ).
cnf(s139,plain,
spl6_64,
inference(sat_conversion,[],[f1459]) ).
cnf(s146,plain,
( spl6_3
| ~ spl6_38
| spl6_61
| ~ spl6_62
| ~ spl6_63
| ~ spl6_64 ),
inference(sat_conversion,[],[f1493]) ).
cnf(s157,plain,
( spl6_51
| spl6_63
| spl6_72 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s159,plain,
( ~ spl6_52
| spl6_63
| spl6_72 ),
inference(sat_conversion,[],[f1576]) ).
cnf(s168,plain,
( ~ spl6_20
| ~ spl6_37
| spl6_38 ),
inference(rat,[],[s30,s33]) ).
cnf(s169,plain,
( spl6_25
| ~ spl6_26
| spl6_28 ),
inference(rat,[],[s20,s21]) ).
cnf(s172,plain,
~ spl6_72,
inference(rat,[],[s122,s16]) ).
cnf(s176,plain,
spl6_23,
inference(rat,[],[s24,s16,s22,s15]) ).
cnf(s177,plain,
spl6_16,
inference(rat,[],[s8,s10]) ).
cnf(s178,plain,
spl6_37,
inference(rat,[],[s31,s177]) ).
cnf(s179,plain,
spl6_38,
inference(rat,[],[s168,s16,s178]) ).
cnf(s181,plain,
spl6_26,
inference(rat,[],[s28,s95,s46,s88,s18,s16,s172]) ).
cnf(s182,plain,
spl6_28,
inference(rat,[],[s169,s18,s181]) ).
cnf(s183,plain,
spl6_2,
inference(rat,[],[s56,s179,s182]) ).
cnf(s184,plain,
spl6_1,
inference(rat,[],[s60,s176,s182]) ).
cnf(s187,plain,
~ spl6_3,
inference(rat,[],[s1,s183,s184]) ).
cnf(s188,plain,
~ spl6_63,
inference(rat,[],[s146,s139,s179,s70,s74,s187]) ).
cnf(s190,plain,
~ spl6_52,
inference(rat,[],[s159,s172,s188]) ).
cnf(s191,plain,
spl6_51,
inference(rat,[],[s157,s172,s188]) ).
cnf(s193,plain,
$false,
inference(rat,[],[s42,s190,s191]) ).
fof(f1577,plain,
$false,
inference(avatar_sat_refutation,[],[s193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MGT064+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.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 17:33:54 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.03 % (2622385)Detected formulas, will run a generic FOF schedule.
% 0.92/1.03 % (2622395)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4224007799:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.92/1.03 % (2622394)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1781181554:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.92/1.03 % (2622396)dis-21_1_sil=8000:lcm=predicate:random_seed=1487458929: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)
% 0.92/1.03 % (2622391)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=2073366131:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.92/1.03 % (2622393)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1202994470:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.92/1.03 % (2622390)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=3382007007:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.92/1.03 % (2622392)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=1050105330:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.92/1.03 % (2622395)First to succeed.
% 0.92/1.03 % (2622395)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2622385"
% 0.92/1.03 % (2622396)Instruction limit reached!
% 0.92/1.03 % (2622396)------------------------------
% 0.92/1.03 % (2622396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.03 % (2622396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.03 % (2622396)CaDiCaL version: 2.1.3
% 0.92/1.03 % (2622396)Termination reason: Instruction limit
% 0.92/1.03 % (2622396)Termination phase: Saturation
% 0.92/1.03 % (2622396)Time elapsed: 0.049 s
% 0.92/1.03 % (2622396)Peak memory usage: 88 MB
% 0.92/1.03 % (2622396)Instructions burned: 130 (million)
% 0.92/1.03 % (2622393)Instruction limit reached!
% 0.92/1.03 % (2622393)------------------------------
% 0.92/1.03 % (2622393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.03 % (2622393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.03 % (2622393)CaDiCaL version: 2.1.3
% 0.92/1.03 % (2622393)Termination reason: Instruction limit
% 0.92/1.03 % (2622393)Termination phase: Saturation
% 0.92/1.03 % (2622393)Time elapsed: 0.066 s
% 0.92/1.03 % (2622393)Peak memory usage: 88 MB
% 0.92/1.03 % (2622393)Instructions burned: 110 (million)
% 0.92/1.03 % (2622394)Instruction limit reached!
% 0.92/1.03 % (2622394)------------------------------
% 0.92/1.03 % (2622394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.03 % (2622394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.03 % (2622394)CaDiCaL version: 2.1.3
% 0.92/1.03 % (2622394)Termination reason: Instruction limit
% 0.92/1.03 % (2622394)Termination phase: Saturation
% 0.92/1.03 % (2622394)Time elapsed: 0.069 s
% 0.92/1.03 % (2622394)Peak memory usage: 88 MB
% 0.92/1.03 % (2622394)Instructions burned: 120 (million)
% 0.92/1.03 % (2622404)lrs+10_1_sil=8000:sp=occurrence:random_seed=725443014:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.92/1.03 % (2622406)lrs+1011_1_sil=32000:sp=occurrence:random_seed=650620669:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 0.92/1.03 % (2622405)lrs+10_1_sil=32000:urr=on:br=off:random_seed=209272351:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 0.92/1.03 % (2622405)Refutation not found, incomplete strategy
% 0.92/1.03 % (2622405)------------------------------
% 0.92/1.03 % (2622405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.92/1.03 % (2622405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.92/1.03 % (2622405)CaDiCaL version: 2.1.3
% 0.92/1.03 % (2622405)Termination reason: Refutation not found, incomplete strategy
% 0.92/1.03 % (2622405)Time elapsed: 0.007 s
% 0.92/1.03 % (2622405)Peak memory usage: 89 MB
% 0.92/1.03 % (2622405)Instructions burned: 10 (million)
% 0.92/1.03 % (2622404)Also succeeded, but the first one will report.
% 0.92/1.03 % (2622406)Also succeeded, but the first one will report.
% 0.92/1.03 % (2622395)Refutation found. Thanks to Tanya!
% 0.92/1.03 % SZS status Theorem for theBenchmark
% 0.92/1.03 % SZS output start Proof for theBenchmark
% See solution above
% 3.28/1.17 % (2622395)------------------------------
% 3.28/1.17 % (2622395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.28/1.17 % (2622395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.28/1.17 % (2622395)CaDiCaL version: 2.1.3
% 3.28/1.17 % (2622395)Termination reason: Refutation
% 3.28/1.17 % (2622395)Time elapsed: 0.035 s
% 3.28/1.17 % (2622395)Peak memory usage: 90 MB
% 3.28/1.17 % (2622395)Instructions burned: 47 (million)
% 3.28/1.17 % (2622395)------------------------------
% 3.28/1.17 % (2622395)------------------------------
% 3.28/1.17 % (2622385)Success in time 0.414 s
% 3.28/1.17 % Vampire exiting
%------------------------------------------------------------------------------