TSTP Solution File: MGT063+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : MGT063+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:51:29 EDT 2024
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 41
% Syntax : Number of formulae : 248 ( 47 unt; 0 def)
% Number of atoms : 804 ( 117 equ)
% Maximal formula atoms : 28 ( 3 avg)
% Number of connectives : 869 ( 313 ~; 326 |; 164 &)
% ( 32 <=>; 33 =>; 0 <=; 1 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 19 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-2 aty)
% Number of variables : 195 ( 175 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2603,plain,
$false,
inference(avatar_sat_refutation,[],[f147,f449,f750,f931,f939,f959,f1089,f1108,f1335,f2069,f2093,f2160,f2173,f2201,f2203,f2301,f2306,f2544,f2547]) ).
fof(f2547,plain,
~ spl14_29,
inference(avatar_split_clause,[],[f2546,f660]) ).
fof(f660,plain,
( spl14_29
<=> positional_advantage(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
fof(f2546,plain,
~ positional_advantage(sK1,sK2),
inference(subsumption_resolution,[],[f2545,f88]) ).
fof(f88,plain,
robust_position(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( ~ smaller(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK3))
| ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK0) )
& zero = age(sK1,sK0)
& smaller(sigma,tau)
& greater(age(sK1,sK4),tau)
& smaller_or_equal(age(sK1,sK2),tau)
& greater(age(sK1,sK2),sigma)
& robust_position(sK1)
& greater(sigma,zero)
& organization(sK1)
& greater(tau,zero)
& smaller_or_equal(age(sK1,sK3),sigma)
& ~ has_endowment(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f56,f57]) ).
fof(f57,plain,
( ? [X0,X1,X2,X3,X4] :
( ( ~ smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X3))
| ~ smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| hazard_of_mortality(X1,X0) != hazard_of_mortality(X1,X3) )
& zero = age(X1,X0)
& smaller(sigma,tau)
& greater(age(X1,X4),tau)
& smaller_or_equal(age(X1,X2),tau)
& greater(age(X1,X2),sigma)
& robust_position(X1)
& greater(sigma,zero)
& organization(X1)
& greater(tau,zero)
& smaller_or_equal(age(X1,X3),sigma)
& ~ has_endowment(X1) )
=> ( ( ~ smaller(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK3))
| ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK0) )
& zero = age(sK1,sK0)
& smaller(sigma,tau)
& greater(age(sK1,sK4),tau)
& smaller_or_equal(age(sK1,sK2),tau)
& greater(age(sK1,sK2),sigma)
& robust_position(sK1)
& greater(sigma,zero)
& organization(sK1)
& greater(tau,zero)
& smaller_or_equal(age(sK1,sK3),sigma)
& ~ has_endowment(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ smaller(hazard_of_mortality(X1,X4),hazard_of_mortality(X1,X3))
| ~ smaller(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X2))
| hazard_of_mortality(X1,X0) != hazard_of_mortality(X1,X3) )
& zero = age(X1,X0)
& smaller(sigma,tau)
& greater(age(X1,X4),tau)
& smaller_or_equal(age(X1,X2),tau)
& greater(age(X1,X2),sigma)
& robust_position(X1)
& greater(sigma,zero)
& organization(X1)
& greater(tau,zero)
& smaller_or_equal(age(X1,X3),sigma)
& ~ has_endowment(X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
? [X1,X2,X4,X0,X3] :
( ( ~ smaller(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
| ~ smaller(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X4))
| hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X0) )
& zero = age(X2,X1)
& smaller(sigma,tau)
& greater(age(X2,X3),tau)
& smaller_or_equal(age(X2,X4),tau)
& greater(age(X2,X4),sigma)
& robust_position(X2)
& greater(sigma,zero)
& organization(X2)
& greater(tau,zero)
& smaller_or_equal(age(X2,X0),sigma)
& ~ has_endowment(X2) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X3,X0,X4,X1,X2] :
( ( ~ smaller(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0))
| ~ smaller(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X4))
| hazard_of_mortality(X2,X1) != hazard_of_mortality(X2,X0) )
& greater(tau,zero)
& zero = age(X2,X1)
& greater(sigma,zero)
& smaller_or_equal(age(X2,X0),sigma)
& smaller(sigma,tau)
& greater(age(X2,X3),tau)
& organization(X2)
& greater(age(X2,X4),sigma)
& robust_position(X2)
& ~ has_endowment(X2)
& smaller_or_equal(age(X2,X4),tau) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,plain,
~ ! [X3,X0,X4,X1,X2] :
( ( greater(tau,zero)
& zero = age(X2,X1)
& greater(sigma,zero)
& smaller_or_equal(age(X2,X0),sigma)
& smaller(sigma,tau)
& greater(age(X2,X3),tau)
& organization(X2)
& greater(age(X2,X4),sigma)
& robust_position(X2)
& ~ has_endowment(X2)
& smaller_or_equal(age(X2,X4),tau) )
=> ( smaller(hazard_of_mortality(X2,X0),hazard_of_mortality(X2,X4))
& hazard_of_mortality(X2,X1) = hazard_of_mortality(X2,X0)
& smaller(hazard_of_mortality(X2,X3),hazard_of_mortality(X2,X0)) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ! [X5,X4,X0,X7,X6] :
( ( zero = age(X0,X4)
& greater(sigma,zero)
& robust_position(X0)
& greater(tau,zero)
& smaller_or_equal(age(X0,X6),tau)
& ~ has_endowment(X0)
& smaller(sigma,tau)
& greater(age(X0,X7),tau)
& greater(age(X0,X6),sigma)
& organization(X0)
& smaller_or_equal(age(X0,X5),sigma) )
=> ( smaller(hazard_of_mortality(X0,X5),hazard_of_mortality(X0,X6))
& hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& smaller(hazard_of_mortality(X0,X7),hazard_of_mortality(X0,X5)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
! [X5,X4,X0,X7,X6] :
( ( zero = age(X0,X4)
& greater(sigma,zero)
& robust_position(X0)
& greater(tau,zero)
& smaller_or_equal(age(X0,X6),tau)
& ~ has_endowment(X0)
& smaller(sigma,tau)
& greater(age(X0,X7),tau)
& greater(age(X0,X6),sigma)
& organization(X0)
& smaller_or_equal(age(X0,X5),sigma) )
=> ( smaller(hazard_of_mortality(X0,X5),hazard_of_mortality(X0,X6))
& hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& smaller(hazard_of_mortality(X0,X7),hazard_of_mortality(X0,X5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2545,plain,
( ~ robust_position(sK1)
| ~ positional_advantage(sK1,sK2) ),
inference(subsumption_resolution,[],[f2532,f131]) ).
fof(f131,plain,
smaller_or_equal(sF12,tau),
inference(definition_folding,[],[f90,f130]) ).
fof(f130,plain,
sF12 = age(sK1,sK2),
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f90,plain,
smaller_or_equal(age(sK1,sK2),tau),
inference(cnf_transformation,[],[f58]) ).
fof(f2532,plain,
( ~ smaller_or_equal(sF12,tau)
| ~ robust_position(sK1)
| ~ positional_advantage(sK1,sK2) ),
inference(superposition,[],[f116,f130]) ).
fof(f116,plain,
! [X0,X1] :
( ~ positional_advantage(X0,X1)
| ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ! [X1] :
( ( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) )
& ( ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1) ) )
| ~ robust_position(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( robust_position(X0)
=> ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ( greater(age(X0,X1),tau)
=> positional_advantage(X0,X1) )
& ( smaller_or_equal(age(X0,X1),tau)
=> ~ positional_advantage(X0,X1) ) )
<=> robust_position(X0) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( robust_position(X0)
<=> ! [X3] :
( ( smaller_or_equal(age(X0,X3),tau)
=> ~ positional_advantage(X0,X3) )
& ( greater(age(X0,X3),tau)
=> positional_advantage(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2544,plain,
~ spl14_34,
inference(avatar_contradiction_clause,[],[f2543]) ).
fof(f2543,plain,
( $false
| ~ spl14_34 ),
inference(subsumption_resolution,[],[f2542,f132]) ).
fof(f132,plain,
greater(sF12,sigma),
inference(definition_folding,[],[f89,f130]) ).
fof(f89,plain,
greater(age(sK1,sK2),sigma),
inference(cnf_transformation,[],[f58]) ).
fof(f2542,plain,
( ~ greater(sF12,sigma)
| ~ spl14_34 ),
inference(subsumption_resolution,[],[f2521,f2488]) ).
fof(f2488,plain,
( ~ dissimilar(sK1,sK0,sK2)
| ~ spl14_34 ),
inference(unit_resulting_resolution,[],[f279,f691,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ is_aligned(X2,X0)
| ~ is_aligned(X2,X1)
| ~ dissimilar(X2,X1,X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ( dissimilar(X2,X1,X0)
| ~ organization(X2)
| ( ( is_aligned(X2,X1)
| ~ is_aligned(X2,X0) )
& ( is_aligned(X2,X0)
| ~ is_aligned(X2,X1) ) ) )
& ( ( organization(X2)
& ( ~ is_aligned(X2,X0)
| ~ is_aligned(X2,X1) )
& ( is_aligned(X2,X0)
| is_aligned(X2,X1) ) )
| ~ dissimilar(X2,X1,X0) ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X1,X0,X2] :
( ( dissimilar(X2,X0,X1)
| ~ organization(X2)
| ( ( is_aligned(X2,X0)
| ~ is_aligned(X2,X1) )
& ( is_aligned(X2,X1)
| ~ is_aligned(X2,X0) ) ) )
& ( ( organization(X2)
& ( ~ is_aligned(X2,X1)
| ~ is_aligned(X2,X0) )
& ( is_aligned(X2,X1)
| is_aligned(X2,X0) ) )
| ~ dissimilar(X2,X0,X1) ) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X1,X0,X2] :
( ( dissimilar(X2,X0,X1)
| ~ organization(X2)
| ( ( is_aligned(X2,X0)
| ~ is_aligned(X2,X1) )
& ( is_aligned(X2,X1)
| ~ is_aligned(X2,X0) ) ) )
& ( ( organization(X2)
& ( ~ is_aligned(X2,X1)
| ~ is_aligned(X2,X0) )
& ( is_aligned(X2,X1)
| is_aligned(X2,X0) ) )
| ~ dissimilar(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X1,X0,X2] :
( dissimilar(X2,X0,X1)
<=> ( organization(X2)
& ( is_aligned(X2,X0)
<~> is_aligned(X2,X1) ) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( organization(X2)
& ~ ( is_aligned(X2,X0)
<=> is_aligned(X2,X1) ) )
<=> dissimilar(X2,X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X3,X0] :
( dissimilar(X0,X4,X3)
<=> ( organization(X0)
& ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f691,plain,
( is_aligned(sK1,sK2)
| ~ spl14_34 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f689,plain,
( spl14_34
<=> is_aligned(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
fof(f279,plain,
is_aligned(sK1,sK0),
inference(subsumption_resolution,[],[f276,f86]) ).
fof(f86,plain,
organization(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f276,plain,
( ~ organization(sK1)
| is_aligned(sK1,sK0) ),
inference(trivial_inequality_removal,[],[f271]) ).
fof(f271,plain,
( is_aligned(sK1,sK0)
| ~ organization(sK1)
| zero != zero ),
inference(superposition,[],[f112,f148]) ).
fof(f148,plain,
zero = age(sK1,sK0),
inference(backward_demodulation,[],[f126,f127]) ).
fof(f127,plain,
zero = sF10,
inference(definition_folding,[],[f93,f126]) ).
fof(f93,plain,
zero = age(sK1,sK0),
inference(cnf_transformation,[],[f58]) ).
fof(f126,plain,
sF10 = age(sK1,sK0),
introduced(function_definition,[new_symbols(definition,[sF10])]) ).
fof(f112,plain,
! [X0,X1] :
( ~ organization(X1)
| is_aligned(X1,X0)
| zero != age(X1,X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( zero != age(X1,X0)
| is_aligned(X1,X0)
| ~ organization(X1) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X1,X0] :
( is_aligned(X1,X0)
| ~ organization(X1)
| zero != age(X1,X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( organization(X1)
& zero = age(X1,X0) )
=> is_aligned(X1,X0) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3,X0] :
( ( age(X0,X3) = zero
& organization(X0) )
=> is_aligned(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2521,plain,
( dissimilar(sK1,sK0,sK2)
| ~ greater(sF12,sigma) ),
inference(superposition,[],[f282,f130]) ).
fof(f282,plain,
! [X0] :
( ~ greater(age(sK1,X0),sigma)
| dissimilar(sK1,sK0,X0) ),
inference(subsumption_resolution,[],[f275,f86]) ).
fof(f275,plain,
! [X0] :
( ~ organization(sK1)
| ~ greater(age(sK1,X0),sigma)
| dissimilar(sK1,sK0,X0) ),
inference(trivial_inequality_removal,[],[f268]) ).
fof(f268,plain,
! [X0] :
( zero != zero
| dissimilar(sK1,sK0,X0)
| ~ greater(age(sK1,X0),sigma)
| ~ organization(sK1) ),
inference(superposition,[],[f106,f148]) ).
fof(f106,plain,
! [X2,X0,X1] :
( ~ greater(age(X1,X0),sigma)
| ~ organization(X1)
| zero != age(X1,X2)
| dissimilar(X1,X2,X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0,X1,X2] :
( zero != age(X1,X2)
| ~ organization(X1)
| ( ( greater(age(X1,X0),sigma)
| ~ dissimilar(X1,X2,X0) )
& ( dissimilar(X1,X2,X0)
| ~ greater(age(X1,X0),sigma) ) ) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X2,X0,X1] :
( zero != age(X0,X1)
| ~ organization(X0)
| ( ( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma) ) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X2,X0,X1] :
( zero != age(X0,X1)
| ~ organization(X0)
| ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| ~ organization(X0)
| zero != age(X0,X1) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ( organization(X0)
& zero = age(X0,X1) )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X4,X3] :
( ( zero = age(X0,X4)
& organization(X0) )
=> ( greater(age(X0,X3),sigma)
<=> dissimilar(X0,X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2306,plain,
( ~ spl14_1
| spl14_2
| ~ spl14_27 ),
inference(avatar_contradiction_clause,[],[f2305]) ).
fof(f2305,plain,
( $false
| ~ spl14_1
| spl14_2
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f2304,f623]) ).
fof(f623,plain,
smaller(mod1,mod2),
inference(resolution,[],[f110,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( smaller(X1,X0)
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ~ smaller(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( smaller(X1,X0)
<=> greater(X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f110,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2304,plain,
( ~ smaller(mod1,mod2)
| ~ spl14_1
| spl14_2
| ~ spl14_27 ),
inference(forward_demodulation,[],[f2303,f584]) ).
fof(f584,plain,
( mod1 = sF6
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl14_27
<=> mod1 = sF6 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
fof(f2303,plain,
( ~ smaller(sF6,mod2)
| ~ spl14_1
| spl14_2 ),
inference(forward_demodulation,[],[f142,f2208]) ).
fof(f2208,plain,
( mod2 = sF7
| ~ spl14_1 ),
inference(forward_demodulation,[],[f137,f414]) ).
fof(f414,plain,
mod2 = sF9,
inference(backward_demodulation,[],[f124,f413]) ).
fof(f413,plain,
mod2 = hazard_of_mortality(sK1,sK0),
inference(subsumption_resolution,[],[f412,f171]) ).
fof(f171,plain,
! [X0] : ~ has_immunity(sK1,X0),
inference(subsumption_resolution,[],[f152,f86]) ).
fof(f152,plain,
! [X0] :
( ~ has_immunity(sK1,X0)
| ~ organization(sK1) ),
inference(resolution,[],[f83,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ~ organization(X0)
| ~ has_immunity(X0,X1)
| has_endowment(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( has_endowment(X0)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(rectify,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( has_endowment(X1)
| ~ has_immunity(X1,X0)
| ~ organization(X1) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ has_immunity(X1,X0)
| has_endowment(X1)
| ~ organization(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ~ has_endowment(X1)
& organization(X1) )
=> ~ has_immunity(X1,X0) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X0] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f83,plain,
~ has_endowment(sK1),
inference(cnf_transformation,[],[f58]) ).
fof(f412,plain,
( has_immunity(sK1,sK0)
| mod2 = hazard_of_mortality(sK1,sK0) ),
inference(subsumption_resolution,[],[f411,f281]) ).
fof(f281,plain,
~ positional_advantage(sK1,sK0),
inference(subsumption_resolution,[],[f280,f88]) ).
fof(f280,plain,
( ~ positional_advantage(sK1,sK0)
| ~ robust_position(sK1) ),
inference(subsumption_resolution,[],[f273,f262]) ).
fof(f262,plain,
smaller_or_equal(zero,tau),
inference(resolution,[],[f195,f97]) ).
fof(f97,plain,
! [X0,X1] :
( smaller_or_equal(X1,X0)
| ~ smaller(X1,X0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ( smaller_or_equal(X1,X0)
| ( X0 != X1
& ~ smaller(X1,X0) ) )
& ( X0 = X1
| smaller(X1,X0)
| ~ smaller_or_equal(X1,X0) ) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f59]) ).
fof(f59,plain,
! [X1,X0] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f195,plain,
smaller(zero,tau),
inference(unit_resulting_resolution,[],[f85,f118]) ).
fof(f85,plain,
greater(tau,zero),
inference(cnf_transformation,[],[f58]) ).
fof(f273,plain,
( ~ positional_advantage(sK1,sK0)
| ~ smaller_or_equal(zero,tau)
| ~ robust_position(sK1) ),
inference(superposition,[],[f116,f148]) ).
fof(f411,plain,
( positional_advantage(sK1,sK0)
| mod2 = hazard_of_mortality(sK1,sK0)
| has_immunity(sK1,sK0) ),
inference(subsumption_resolution,[],[f404,f86]) ).
fof(f404,plain,
( mod2 = hazard_of_mortality(sK1,sK0)
| ~ organization(sK1)
| has_immunity(sK1,sK0)
| positional_advantage(sK1,sK0) ),
inference(resolution,[],[f279,f73]) ).
fof(f73,plain,
! [X0,X1] :
( mod2 = hazard_of_mortality(X1,X0)
| ~ is_aligned(X1,X0)
| has_immunity(X1,X0)
| ~ organization(X1)
| positional_advantage(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ organization(X1)
| ( ( very_low = hazard_of_mortality(X1,X0)
| ~ has_immunity(X1,X0) )
& ( ( ( ~ positional_advantage(X1,X0)
| ~ is_aligned(X1,X0)
| low = hazard_of_mortality(X1,X0) )
& ( ~ is_aligned(X1,X0)
| positional_advantage(X1,X0)
| mod2 = hazard_of_mortality(X1,X0) )
& ( positional_advantage(X1,X0)
| high = hazard_of_mortality(X1,X0)
| is_aligned(X1,X0) )
& ( mod1 = hazard_of_mortality(X1,X0)
| is_aligned(X1,X0)
| ~ positional_advantage(X1,X0) ) )
| has_immunity(X1,X0) ) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( ( ( ( mod1 = hazard_of_mortality(X1,X0)
| is_aligned(X1,X0)
| ~ positional_advantage(X1,X0) )
& ( high = hazard_of_mortality(X1,X0)
| positional_advantage(X1,X0)
| is_aligned(X1,X0) )
& ( mod2 = hazard_of_mortality(X1,X0)
| ~ is_aligned(X1,X0)
| positional_advantage(X1,X0) )
& ( low = hazard_of_mortality(X1,X0)
| ~ positional_advantage(X1,X0)
| ~ is_aligned(X1,X0) ) )
| has_immunity(X1,X0) )
& ( very_low = hazard_of_mortality(X1,X0)
| ~ has_immunity(X1,X0) ) )
| ~ organization(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( organization(X1)
=> ( ( ~ has_immunity(X1,X0)
=> ( ( ( ~ is_aligned(X1,X0)
& positional_advantage(X1,X0) )
=> mod1 = hazard_of_mortality(X1,X0) )
& ( ( ~ positional_advantage(X1,X0)
& ~ is_aligned(X1,X0) )
=> high = hazard_of_mortality(X1,X0) )
& ( ( is_aligned(X1,X0)
& ~ positional_advantage(X1,X0) )
=> mod2 = hazard_of_mortality(X1,X0) )
& ( ( positional_advantage(X1,X0)
& is_aligned(X1,X0) )
=> low = hazard_of_mortality(X1,X0) ) ) )
& ( has_immunity(X1,X0)
=> very_low = hazard_of_mortality(X1,X0) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3,X0] :
( organization(X0)
=> ( ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low )
& ( ~ has_immunity(X0,X3)
=> ( ( ( positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = low )
& ( ( ~ positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod2 )
& ( ( ~ is_aligned(X0,X3)
& ~ positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = high )
& ( ( ~ is_aligned(X0,X3)
& positional_advantage(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f124,plain,
sF9 = hazard_of_mortality(sK1,sK0),
introduced(function_definition,[new_symbols(definition,[sF9])]) ).
fof(f137,plain,
( sF9 = sF7
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl14_1
<=> sF9 = sF7 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
fof(f142,plain,
( ~ smaller(sF6,sF7)
| spl14_2 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl14_2
<=> smaller(sF6,sF7) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
fof(f2301,plain,
( ~ spl14_1
| spl14_3
| ~ spl14_39 ),
inference(avatar_contradiction_clause,[],[f2300]) ).
fof(f2300,plain,
( $false
| ~ spl14_1
| spl14_3
| ~ spl14_39 ),
inference(subsumption_resolution,[],[f2299,f640]) ).
fof(f640,plain,
smaller(mod2,high),
inference(unit_resulting_resolution,[],[f119,f118]) ).
fof(f119,plain,
greater(high,mod2),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
greater(high,mod2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2299,plain,
( ~ smaller(mod2,high)
| ~ spl14_1
| spl14_3
| ~ spl14_39 ),
inference(backward_demodulation,[],[f2296,f924]) ).
fof(f924,plain,
( high = sF8
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f922,plain,
( spl14_39
<=> high = sF8 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
fof(f2296,plain,
( ~ smaller(mod2,sF8)
| ~ spl14_1
| spl14_3 ),
inference(forward_demodulation,[],[f146,f2208]) ).
fof(f146,plain,
( ~ smaller(sF7,sF8)
| spl14_3 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl14_3
<=> smaller(sF7,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
fof(f2203,plain,
( ~ spl14_9
| ~ spl14_21 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2202,plain,
( $false
| ~ spl14_9
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f2178,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X1,X0] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
~ ( greater(X0,X1)
& greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2178,plain,
( greater(sigma,sigma)
| ~ spl14_9
| ~ spl14_21 ),
inference(backward_demodulation,[],[f469,f245]) ).
fof(f245,plain,
( sigma = sF13
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl14_9
<=> sigma = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
fof(f469,plain,
( greater(sF13,sigma)
| ~ spl14_21 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f467,plain,
( spl14_21
<=> greater(sF13,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
fof(f2201,plain,
~ spl14_17,
inference(avatar_contradiction_clause,[],[f2200]) ).
fof(f2200,plain,
( $false
| ~ spl14_17 ),
inference(subsumption_resolution,[],[f326,f108]) ).
fof(f326,plain,
( greater(sigma,sigma)
| ~ spl14_17 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f325,plain,
( spl14_17
<=> greater(sigma,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
fof(f2173,plain,
( spl14_9
| spl14_10 ),
inference(avatar_split_clause,[],[f2172,f247,f243]) ).
fof(f247,plain,
( spl14_10
<=> smaller(sF13,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
fof(f2172,plain,
( sigma = sF13
| spl14_10 ),
inference(subsumption_resolution,[],[f451,f248]) ).
fof(f248,plain,
( ~ smaller(sF13,sigma)
| spl14_10 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f451,plain,
( sigma = sF13
| smaller(sF13,sigma) ),
inference(resolution,[],[f134,f96]) ).
fof(f96,plain,
! [X0,X1] :
( smaller(X1,X0)
| ~ smaller_or_equal(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f134,plain,
smaller_or_equal(sF13,sigma),
inference(definition_folding,[],[f84,f133]) ).
fof(f133,plain,
sF13 = age(sK1,sK3),
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f84,plain,
smaller_or_equal(age(sK1,sK3),sigma),
inference(cnf_transformation,[],[f58]) ).
fof(f2160,plain,
( spl14_21
| spl14_18 ),
inference(avatar_split_clause,[],[f2157,f331,f467]) ).
fof(f331,plain,
( spl14_18
<=> is_aligned(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
fof(f2157,plain,
( greater(sF13,sigma)
| spl14_18 ),
inference(subsumption_resolution,[],[f2154,f719]) ).
fof(f719,plain,
( dissimilar(sK1,sK0,sK3)
| spl14_18 ),
inference(unit_resulting_resolution,[],[f86,f279,f332,f80]) ).
fof(f80,plain,
! [X2,X0,X1] :
( is_aligned(X2,X0)
| ~ is_aligned(X2,X1)
| dissimilar(X2,X1,X0)
| ~ organization(X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f332,plain,
( ~ is_aligned(sK1,sK3)
| spl14_18 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f2154,plain,
( ~ dissimilar(sK1,sK0,sK3)
| greater(sF13,sigma) ),
inference(superposition,[],[f283,f133]) ).
fof(f283,plain,
! [X0] :
( greater(age(sK1,X0),sigma)
| ~ dissimilar(sK1,sK0,X0) ),
inference(subsumption_resolution,[],[f274,f86]) ).
fof(f274,plain,
! [X0] :
( ~ organization(sK1)
| ~ dissimilar(sK1,sK0,X0)
| greater(age(sK1,X0),sigma) ),
inference(trivial_inequality_removal,[],[f270]) ).
fof(f270,plain,
! [X0] :
( zero != zero
| greater(age(sK1,X0),sigma)
| ~ dissimilar(sK1,sK0,X0)
| ~ organization(sK1) ),
inference(superposition,[],[f107,f148]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ dissimilar(X1,X2,X0)
| zero != age(X1,X2)
| greater(age(X1,X0),sigma)
| ~ organization(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f2093,plain,
( spl14_27
| spl14_36
| ~ spl14_37 ),
inference(avatar_contradiction_clause,[],[f2092]) ).
fof(f2092,plain,
( $false
| spl14_27
| spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f2091,f583]) ).
fof(f583,plain,
( mod1 != sF6
| spl14_27 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f2091,plain,
( mod1 = sF6
| spl14_36
| ~ spl14_37 ),
inference(forward_demodulation,[],[f121,f2086]) ).
fof(f2086,plain,
( mod1 = hazard_of_mortality(sK1,sK4)
| spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f2085,f171]) ).
fof(f2085,plain,
( mod1 = hazard_of_mortality(sK1,sK4)
| has_immunity(sK1,sK4)
| spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f2084,f86]) ).
fof(f2084,plain,
( mod1 = hazard_of_mortality(sK1,sK4)
| ~ organization(sK1)
| has_immunity(sK1,sK4)
| spl14_36
| ~ spl14_37 ),
inference(subsumption_resolution,[],[f1375,f767]) ).
fof(f767,plain,
( ~ is_aligned(sK1,sK4)
| spl14_36 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl14_36
<=> is_aligned(sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
fof(f1375,plain,
( mod1 = hazard_of_mortality(sK1,sK4)
| is_aligned(sK1,sK4)
| ~ organization(sK1)
| has_immunity(sK1,sK4)
| ~ spl14_37 ),
inference(resolution,[],[f770,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ organization(X1)
| is_aligned(X1,X0)
| has_immunity(X1,X0)
| ~ positional_advantage(X1,X0)
| mod1 = hazard_of_mortality(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f770,plain,
( positional_advantage(sK1,sK4)
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl14_37
<=> positional_advantage(sK1,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
fof(f121,plain,
sF6 = hazard_of_mortality(sK1,sK4),
introduced(function_definition,[new_symbols(definition,[sF6])]) ).
fof(f2069,plain,
~ spl14_36,
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2068,plain,
( $false
| ~ spl14_36 ),
inference(subsumption_resolution,[],[f2067,f1311]) ).
fof(f1311,plain,
( ~ dissimilar(sK1,sK0,sK4)
| ~ spl14_36 ),
inference(unit_resulting_resolution,[],[f279,f766,f78]) ).
fof(f766,plain,
( is_aligned(sK1,sK4)
| ~ spl14_36 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f2067,plain,
dissimilar(sK1,sK0,sK4),
inference(subsumption_resolution,[],[f2066,f356]) ).
fof(f356,plain,
greater(sF11,sigma),
inference(unit_resulting_resolution,[],[f129,f212,f113]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ greater(X2,X0)
| ~ greater(X0,X1)
| greater(X2,X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ greater(X2,X0)
| greater(X2,X1)
| ~ greater(X0,X1) ),
inference(rectify,[],[f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X1,X0)
| ~ greater(X2,X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X1,X0,X2] :
( greater(X1,X0)
| ~ greater(X1,X2)
| ~ greater(X2,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X1,X0,X2] :
( ( greater(X1,X2)
& greater(X2,X0) )
=> greater(X1,X0) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f212,plain,
greater(tau,sigma),
inference(resolution,[],[f92,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ smaller(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f92,plain,
smaller(sigma,tau),
inference(cnf_transformation,[],[f58]) ).
fof(f129,plain,
greater(sF11,tau),
inference(definition_folding,[],[f91,f128]) ).
fof(f128,plain,
sF11 = age(sK1,sK4),
introduced(function_definition,[new_symbols(definition,[sF11])]) ).
fof(f91,plain,
greater(age(sK1,sK4),tau),
inference(cnf_transformation,[],[f58]) ).
fof(f2066,plain,
( ~ greater(sF11,sigma)
| dissimilar(sK1,sK0,sK4) ),
inference(superposition,[],[f282,f128]) ).
fof(f1335,plain,
spl14_37,
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| spl14_37 ),
inference(subsumption_resolution,[],[f1333,f129]) ).
fof(f1333,plain,
( ~ greater(sF11,tau)
| spl14_37 ),
inference(forward_demodulation,[],[f1332,f128]) ).
fof(f1332,plain,
( ~ greater(age(sK1,sK4),tau)
| spl14_37 ),
inference(subsumption_resolution,[],[f1328,f88]) ).
fof(f1328,plain,
( ~ greater(age(sK1,sK4),tau)
| ~ robust_position(sK1)
| spl14_37 ),
inference(resolution,[],[f771,f115]) ).
fof(f115,plain,
! [X0,X1] :
( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f771,plain,
( ~ positional_advantage(sK1,sK4)
| spl14_37 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f1108,plain,
( spl14_21
| ~ spl14_41 ),
inference(avatar_contradiction_clause,[],[f1107]) ).
fof(f1107,plain,
( $false
| spl14_21
| ~ spl14_41 ),
inference(subsumption_resolution,[],[f1093,f212]) ).
fof(f1093,plain,
( ~ greater(tau,sigma)
| spl14_21
| ~ spl14_41 ),
inference(backward_demodulation,[],[f468,f958]) ).
fof(f958,plain,
( tau = sF13
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f956,plain,
( spl14_41
<=> tau = sF13 ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
fof(f468,plain,
( ~ greater(sF13,sigma)
| spl14_21 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f1089,plain,
( ~ spl14_40
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f1084,f299,f952]) ).
fof(f952,plain,
( spl14_40
<=> smaller(sF13,tau) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
fof(f299,plain,
( spl14_12
<=> positional_advantage(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
fof(f1084,plain,
( ~ smaller(sF13,tau)
| ~ spl14_12 ),
inference(resolution,[],[f568,f97]) ).
fof(f568,plain,
( ~ smaller_or_equal(sF13,tau)
| ~ spl14_12 ),
inference(subsumption_resolution,[],[f481,f301]) ).
fof(f301,plain,
( positional_advantage(sK1,sK3)
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f481,plain,
( ~ smaller_or_equal(sF13,tau)
| ~ positional_advantage(sK1,sK3) ),
inference(subsumption_resolution,[],[f461,f88]) ).
fof(f461,plain,
( ~ robust_position(sK1)
| ~ smaller_or_equal(sF13,tau)
| ~ positional_advantage(sK1,sK3) ),
inference(superposition,[],[f116,f133]) ).
fof(f959,plain,
( spl14_40
| spl14_41
| spl14_25 ),
inference(avatar_split_clause,[],[f950,f514,f956,f952]) ).
fof(f514,plain,
( spl14_25
<=> greater(sF13,tau) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
fof(f950,plain,
( smaller(sF13,tau)
| tau = sF13
| spl14_25 ),
inference(resolution,[],[f516,f76]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( greater(X0,X1)
| smaller(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f22]) ).
fof(f22,plain,
! [X1,X0] :
( greater(X1,X0)
| smaller(X1,X0)
| X0 = X1 ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X0] :
( X0 = X1
| greater(X0,X1)
| smaller(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f516,plain,
( ~ greater(sF13,tau)
| spl14_25 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f939,plain,
( ~ spl14_25
| spl14_21 ),
inference(avatar_split_clause,[],[f933,f467,f514]) ).
fof(f933,plain,
( ~ greater(sF13,tau)
| spl14_21 ),
inference(unit_resulting_resolution,[],[f212,f468,f113]) ).
fof(f931,plain,
( spl14_34
| spl14_39
| spl14_29 ),
inference(avatar_split_clause,[],[f930,f660,f922,f689]) ).
fof(f930,plain,
( is_aligned(sK1,sK2)
| high = sF8
| spl14_29 ),
inference(subsumption_resolution,[],[f929,f86]) ).
fof(f929,plain,
( high = sF8
| is_aligned(sK1,sK2)
| ~ organization(sK1)
| spl14_29 ),
inference(subsumption_resolution,[],[f928,f661]) ).
fof(f661,plain,
( ~ positional_advantage(sK1,sK2)
| spl14_29 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f928,plain,
( positional_advantage(sK1,sK2)
| is_aligned(sK1,sK2)
| ~ organization(sK1)
| high = sF8 ),
inference(subsumption_resolution,[],[f889,f171]) ).
fof(f889,plain,
( has_immunity(sK1,sK2)
| ~ organization(sK1)
| positional_advantage(sK1,sK2)
| high = sF8
| is_aligned(sK1,sK2) ),
inference(superposition,[],[f72,f123]) ).
fof(f123,plain,
sF8 = hazard_of_mortality(sK1,sK2),
introduced(function_definition,[new_symbols(definition,[sF8])]) ).
fof(f72,plain,
! [X0,X1] :
( positional_advantage(X1,X0)
| high = hazard_of_mortality(X1,X0)
| ~ organization(X1)
| is_aligned(X1,X0)
| has_immunity(X1,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f750,plain,
( ~ spl14_10
| spl14_17
| ~ spl14_21 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f749,plain,
( $false
| ~ spl14_10
| spl14_17
| ~ spl14_21 ),
inference(subsumption_resolution,[],[f734,f486]) ).
fof(f486,plain,
( greater(sigma,sF13)
| ~ spl14_10 ),
inference(unit_resulting_resolution,[],[f249,f117]) ).
fof(f249,plain,
( smaller(sF13,sigma)
| ~ spl14_10 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f734,plain,
( ~ greater(sigma,sF13)
| spl14_17
| ~ spl14_21 ),
inference(unit_resulting_resolution,[],[f327,f469,f113]) ).
fof(f327,plain,
( ~ greater(sigma,sigma)
| spl14_17 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f449,plain,
( ~ spl14_18
| spl14_1
| spl14_12 ),
inference(avatar_split_clause,[],[f448,f299,f136,f331]) ).
fof(f448,plain,
( ~ is_aligned(sK1,sK3)
| spl14_1
| spl14_12 ),
inference(subsumption_resolution,[],[f447,f415]) ).
fof(f415,plain,
( mod2 != sF7
| spl14_1 ),
inference(backward_demodulation,[],[f138,f414]) ).
fof(f138,plain,
( sF9 != sF7
| spl14_1 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f447,plain,
( ~ is_aligned(sK1,sK3)
| mod2 = sF7
| spl14_12 ),
inference(forward_demodulation,[],[f446,f122]) ).
fof(f122,plain,
hazard_of_mortality(sK1,sK3) = sF7,
introduced(function_definition,[new_symbols(definition,[sF7])]) ).
fof(f446,plain,
( ~ is_aligned(sK1,sK3)
| mod2 = hazard_of_mortality(sK1,sK3)
| spl14_12 ),
inference(subsumption_resolution,[],[f445,f171]) ).
fof(f445,plain,
( ~ is_aligned(sK1,sK3)
| has_immunity(sK1,sK3)
| mod2 = hazard_of_mortality(sK1,sK3)
| spl14_12 ),
inference(subsumption_resolution,[],[f433,f86]) ).
fof(f433,plain,
( ~ is_aligned(sK1,sK3)
| ~ organization(sK1)
| has_immunity(sK1,sK3)
| mod2 = hazard_of_mortality(sK1,sK3)
| spl14_12 ),
inference(resolution,[],[f300,f73]) ).
fof(f300,plain,
( ~ positional_advantage(sK1,sK3)
| spl14_12 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f147,plain,
( ~ spl14_1
| ~ spl14_2
| ~ spl14_3 ),
inference(avatar_split_clause,[],[f125,f144,f140,f136]) ).
fof(f125,plain,
( ~ smaller(sF6,sF7)
| ~ smaller(sF7,sF8)
| sF9 != sF7 ),
inference(definition_folding,[],[f94,f124,f122,f123,f122,f122,f121]) ).
fof(f94,plain,
( ~ smaller(hazard_of_mortality(sK1,sK4),hazard_of_mortality(sK1,sK3))
| ~ smaller(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK2))
| hazard_of_mortality(sK1,sK3) != hazard_of_mortality(sK1,sK0) ),
inference(cnf_transformation,[],[f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT063+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.13 % Command : run_vampire %s %d THM
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 18:04:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.20/0.37 Running first-order theorem proving
% 0.20/0.37 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.43 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19846)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.22/0.43 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19844)lrs+1002_74:59_drc=off:tgt=full:sos=all:cond=fast:i=124987:kws=inv_frequency:afp=300:afq=2.0744697298148953:rawr=on:urr=full:sil=128000:si=on:rtra=on:random_seed=3250543_0 on theBenchmark for (2999ds/124987Mi)
% 0.22/0.43 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19843)lrs+2_5:39_bsr=unit_only:to=lpo:drc=off:sil=128000:plsq=on:plsqr=2,19:sp=frequency:lcm=reverse:fd=preordered:s2a=on:i=38749:s2at=-1.0:fsr=off:uhcvi=on:rawr=on:aer=off:lwlo=on:add=off:bce=on:acc=model:afr=on_0 on theBenchmark for (2999ds/38749Mi)
% 0.22/0.43 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19847)lrs+1011_1:1_sil=32000:rnwc=on:nwc=10.0:lwlo=on:i=121:bd=off:av=off_0 on theBenchmark for (2999ds/121Mi)
% 0.22/0.43 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19849)lrs+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sp=reverse_arity:sos=on:spb=goal_then_units:i=128:ss=axioms:sgt=50:bd=off:sd=3_0 on theBenchmark for (2999ds/128Mi)
% 0.22/0.43 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19845)lrs+11_1:16_to=lpo:drc=off:bsd=on:sp=frequency:i=172350:bs=on:av=off:fsd=on:sil=256000:fdi=50_0 on theBenchmark for (2999ds/172350Mi)
% 0.22/0.43 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (19848)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=113:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2999ds/113Mi)
% 0.22/0.48 % (19848)Instruction limit reached!
% 0.22/0.48 % (19848)------------------------------
% 0.22/0.48 % (19848)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (19848)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (19848)Termination reason: Time limit
% 0.22/0.48 % (19848)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (19848)Memory used [KB]: 1310
% 0.22/0.48 % (19848)Time elapsed: 0.052 s
% 0.22/0.48 % (19848)Instructions burned: 113 (million)
% 0.22/0.48 % (19846)Instruction limit reached!
% 0.22/0.48 % (19846)------------------------------
% 0.22/0.48 % (19846)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.48 % (19846)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.48 % (19846)Termination reason: Time limit
% 0.22/0.48 % (19846)Termination phase: Saturation
% 0.22/0.48
% 0.22/0.48 % (19846)Memory used [KB]: 1667
% 0.22/0.48 % (19846)Time elapsed: 0.054 s
% 0.22/0.48 % (19846)Instructions burned: 105 (million)
% 0.22/0.49 % (19844)First to succeed.
% 0.22/0.50 % (19844)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19842"
% 0.22/0.50 % (19842)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.50 % (19844)Refutation found. Thanks to Tanya!
% 0.22/0.50 % SZS status Theorem for theBenchmark
% 0.22/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.50 % (19844)------------------------------
% 0.22/0.50 % (19844)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.50 % (19844)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.50 % (19844)Termination reason: Refutation
% 0.22/0.50
% 0.22/0.50 % (19844)Memory used [KB]: 1799
% 0.22/0.50 % (19844)Time elapsed: 0.067 s
% 0.22/0.50 % (19844)Instructions burned: 97 (million)
% 0.22/0.50 % (19844)------------------------------
% 0.22/0.50 % (19844)------------------------------
% 0.22/0.50 % (19842)Success in time 0.126 s
%------------------------------------------------------------------------------