TSTP Solution File: MGT062+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : MGT062+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n017.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 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 24
% Syntax : Number of formulae : 161 ( 27 unt; 0 def)
% Number of atoms : 612 ( 80 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 697 ( 246 ~; 270 |; 123 &)
% ( 26 <=>; 31 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 14 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 146 ( 134 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1330,plain,
$false,
inference(avatar_sat_refutation,[],[f96,f137,f232,f236,f245,f919,f980,f1157,f1170,f1180,f1209,f1227,f1256,f1329]) ).
fof(f1329,plain,
~ spl4_66,
inference(avatar_contradiction_clause,[],[f1328]) ).
fof(f1328,plain,
( $false
| ~ spl4_66 ),
inference(subsumption_resolution,[],[f1327,f47]) ).
fof(f47,plain,
organization(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
& greater(age(sK0,sK3),sigma)
& smaller_or_equal(age(sK0,sK2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(sK0,sK1)
& ~ has_endowment(sK0)
& robust_position(sK0)
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f25,f39]) ).
fof(f39,plain,
( ? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( ( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
& greater(age(sK0,sK3),sigma)
& smaller_or_equal(age(sK0,sK2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(sK0,sK1)
& ~ has_endowment(sK0)
& robust_position(sK0)
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X2) != hazard_of_mortality(X0,X1)
| ~ smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1,X2,X3] :
( ( greater(age(X0,X3),sigma)
& smaller_or_equal(age(X0,X2),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X1)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
& smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X4,X5,X6] :
( ( greater(age(X0,X6),sigma)
& smaller_or_equal(age(X0,X5),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X4)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& smaller(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X4,X5,X6] :
( ( greater(age(X0,X6),sigma)
& smaller_or_equal(age(X0,X5),sigma)
& sigma = tau
& greater(tau,zero)
& greater(sigma,zero)
& zero = age(X0,X4)
& ~ has_endowment(X0)
& robust_position(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X5) = hazard_of_mortality(X0,X4)
& smaller(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1327,plain,
( ~ organization(sK0)
| ~ spl4_66 ),
inference(subsumption_resolution,[],[f1326,f49]) ).
fof(f49,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f1326,plain,
( has_endowment(sK0)
| ~ organization(sK0)
| ~ spl4_66 ),
inference(resolution,[],[f1250,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1250,plain,
( has_immunity(sK0,sK1)
| ~ spl4_66 ),
inference(avatar_component_clause,[],[f1249]) ).
fof(f1249,plain,
( spl4_66
<=> has_immunity(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).
fof(f1256,plain,
( spl4_66
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14
| spl4_19 ),
inference(avatar_split_clause,[],[f1255,f225,f166,f162,f152,f93,f1249]) ).
fof(f93,plain,
( spl4_2
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f152,plain,
( spl4_11
<=> has_immunity(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f162,plain,
( spl4_13
<=> is_aligned(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f166,plain,
( spl4_14
<=> positional_advantage(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f225,plain,
( spl4_19
<=> positional_advantage(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f1255,plain,
( has_immunity(sK0,sK1)
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14
| spl4_19 ),
inference(subsumption_resolution,[],[f1254,f47]) ).
fof(f1254,plain,
( has_immunity(sK0,sK1)
| ~ organization(sK0)
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14
| spl4_19 ),
inference(subsumption_resolution,[],[f1253,f233]) ).
fof(f233,plain,
is_aligned(sK0,sK1),
inference(subsumption_resolution,[],[f222,f47]) ).
fof(f222,plain,
( is_aligned(sK0,sK1)
| ~ organization(sK0) ),
inference(trivial_inequality_removal,[],[f221]) ).
fof(f221,plain,
( zero != zero
| is_aligned(sK0,sK1)
| ~ organization(sK0) ),
inference(superposition,[],[f62,f50]) ).
fof(f50,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
! [X0,X1] :
( zero != age(X0,X1)
| is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( is_aligned(X0,X1)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( ( zero = age(X0,X1)
& organization(X0) )
=> is_aligned(X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3] :
( ( age(X0,X3) = zero
& organization(X0) )
=> is_aligned(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1253,plain,
( ~ is_aligned(sK0,sK1)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14
| spl4_19 ),
inference(subsumption_resolution,[],[f1246,f227]) ).
fof(f227,plain,
( ~ positional_advantage(sK0,sK1)
| spl4_19 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f1246,plain,
( positional_advantage(sK0,sK1)
| ~ is_aligned(sK0,sK1)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14 ),
inference(trivial_inequality_removal,[],[f1244]) ).
fof(f1244,plain,
( mod2 != mod2
| positional_advantage(sK0,sK1)
| ~ is_aligned(sK0,sK1)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14 ),
inference(superposition,[],[f1238,f66]) ).
fof(f66,plain,
! [X0,X1] :
( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( ( ( ( high = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( mod2 = hazard_of_mortality(X0,X1)
| positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) )
& ( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1) )
& ( low = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| ~ is_aligned(X0,X1) ) )
| has_immunity(X0,X1) )
& ( very_low = hazard_of_mortality(X0,X1)
| ~ has_immunity(X0,X1) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X1)
=> ( ( ( ~ positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> high = hazard_of_mortality(X0,X1) )
& ( ( ~ positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> mod2 = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& ~ is_aligned(X0,X1) )
=> mod1 = hazard_of_mortality(X0,X1) )
& ( ( positional_advantage(X0,X1)
& is_aligned(X0,X1) )
=> low = hazard_of_mortality(X0,X1) ) ) )
& ( has_immunity(X0,X1)
=> very_low = hazard_of_mortality(X0,X1) ) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X3] :
( organization(X0)
=> ( ( ~ has_immunity(X0,X3)
=> ( ( ( ~ positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = high )
& ( ( ~ positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod2 )
& ( ( positional_advantage(X0,X3)
& ~ is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = mod1 )
& ( ( positional_advantage(X0,X3)
& is_aligned(X0,X3) )
=> hazard_of_mortality(X0,X3) = low ) ) )
& ( has_immunity(X0,X3)
=> hazard_of_mortality(X0,X3) = very_low ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1238,plain,
( mod2 != hazard_of_mortality(sK0,sK1)
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14 ),
inference(subsumption_resolution,[],[f1237,f47]) ).
fof(f1237,plain,
( mod2 != hazard_of_mortality(sK0,sK1)
| ~ organization(sK0)
| spl4_2
| spl4_11
| ~ spl4_13
| spl4_14 ),
inference(subsumption_resolution,[],[f1236,f154]) ).
fof(f154,plain,
( ~ has_immunity(sK0,sK2)
| spl4_11 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f1236,plain,
( mod2 != hazard_of_mortality(sK0,sK1)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_2
| ~ spl4_13
| spl4_14 ),
inference(subsumption_resolution,[],[f1235,f163]) ).
fof(f163,plain,
( is_aligned(sK0,sK2)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f1235,plain,
( mod2 != hazard_of_mortality(sK0,sK1)
| ~ is_aligned(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_2
| spl4_14 ),
inference(subsumption_resolution,[],[f1233,f168]) ).
fof(f168,plain,
( ~ positional_advantage(sK0,sK2)
| spl4_14 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f1233,plain,
( mod2 != hazard_of_mortality(sK0,sK1)
| positional_advantage(sK0,sK2)
| ~ is_aligned(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_2 ),
inference(superposition,[],[f95,f66]) ).
fof(f95,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| spl4_2 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f1227,plain,
( spl4_13
| spl4_14 ),
inference(avatar_split_clause,[],[f983,f166,f162]) ).
fof(f983,plain,
( is_aligned(sK0,sK2)
| spl4_14 ),
inference(resolution,[],[f168,f394]) ).
fof(f394,plain,
! [X0] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0) ),
inference(subsumption_resolution,[],[f393,f47]) ).
fof(f393,plain,
! [X0] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ~ organization(sK0) ),
inference(subsumption_resolution,[],[f391,f233]) ).
fof(f391,plain,
! [X0] :
( positional_advantage(sK0,X0)
| is_aligned(sK0,X0)
| ~ is_aligned(sK0,sK1)
| ~ organization(sK0) ),
inference(resolution,[],[f320,f79]) ).
fof(f79,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| is_aligned(X0,X2)
| ~ is_aligned(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ( ( 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) )
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( dissimilar(X0,X1,X2)
| ( ( 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) )
& organization(X0) )
| ~ dissimilar(X0,X1,X2) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ( is_aligned(X0,X1)
<~> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( dissimilar(X0,X1,X2)
<=> ( ~ ( is_aligned(X0,X1)
<=> is_aligned(X0,X2) )
& organization(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X4,X3] :
( dissimilar(X0,X4,X3)
<=> ( ~ ( is_aligned(X0,X4)
<=> is_aligned(X0,X3) )
& organization(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f320,plain,
! [X0] :
( ~ dissimilar(sK0,sK1,X0)
| positional_advantage(sK0,X0) ),
inference(subsumption_resolution,[],[f313,f48]) ).
fof(f48,plain,
robust_position(sK0),
inference(cnf_transformation,[],[f40]) ).
fof(f313,plain,
! [X0] :
( ~ dissimilar(sK0,sK1,X0)
| positional_advantage(sK0,X0)
| ~ robust_position(sK0) ),
inference(resolution,[],[f272,f70]) ).
fof(f70,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),tau)
| positional_advantage(X0,X1)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( ! [X1] :
( ( positional_advantage(X0,X1)
| ~ greater(age(X0,X1),tau) )
& ( ~ positional_advantage(X0,X1)
| ~ smaller_or_equal(age(X0,X1),tau) ) )
| ~ robust_position(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,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,[],[f20]) ).
fof(f20,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(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( robust_position(X0)
<=> ! [X3] :
( ( greater(age(X0,X3),tau)
=> positional_advantage(X0,X3) )
& ( smaller_or_equal(age(X0,X3),tau)
=> ~ positional_advantage(X0,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f272,plain,
! [X0] :
( greater(age(sK0,X0),tau)
| ~ dissimilar(sK0,sK1,X0) ),
inference(trivial_inequality_removal,[],[f271]) ).
fof(f271,plain,
! [X0] :
( zero != zero
| ~ dissimilar(sK0,sK1,X0)
| greater(age(sK0,X0),tau) ),
inference(superposition,[],[f97,f50]) ).
fof(f97,plain,
! [X2,X0,X1] :
( zero != age(X0,X1)
| ~ dissimilar(X0,X1,X2)
| greater(age(X0,X2),tau) ),
inference(subsumption_resolution,[],[f85,f76]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| organization(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f85,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),tau)
| ~ dissimilar(X0,X1,X2)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(definition_unfolding,[],[f58,f53]) ).
fof(f53,plain,
sigma = tau,
inference(cnf_transformation,[],[f40]) ).
fof(f58,plain,
! [X2,X0,X1] :
( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( ( greater(age(X0,X2),sigma)
| ~ dissimilar(X0,X1,X2) )
& ( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma) ) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(nnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) )
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( zero = age(X0,X1)
& organization(X0) )
=> ( greater(age(X0,X2),sigma)
<=> dissimilar(X0,X1,X2) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X4,X3] :
( ( zero = age(X0,X4)
& organization(X0) )
=> ( greater(age(X0,X3),sigma)
<=> dissimilar(X0,X4,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1209,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f1207,f47]) ).
fof(f1207,plain,
( ~ organization(sK0)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f1206,f49]) ).
fof(f1206,plain,
( has_endowment(sK0)
| ~ organization(sK0)
| ~ spl4_3 ),
inference(resolution,[],[f111,f81]) ).
fof(f111,plain,
( has_immunity(sK0,sK3)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl4_3
<=> has_immunity(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f1180,plain,
~ spl4_5,
inference(avatar_split_clause,[],[f1179,f120]) ).
fof(f120,plain,
( spl4_5
<=> is_aligned(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f1179,plain,
~ is_aligned(sK0,sK3),
inference(subsumption_resolution,[],[f389,f233]) ).
fof(f389,plain,
( ~ is_aligned(sK0,sK1)
| ~ is_aligned(sK0,sK3) ),
inference(resolution,[],[f382,f78]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ dissimilar(X0,X1,X2)
| ~ is_aligned(X0,X1)
| ~ is_aligned(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f382,plain,
dissimilar(sK0,sK1,sK3),
inference(resolution,[],[f275,f82]) ).
fof(f82,plain,
greater(age(sK0,sK3),tau),
inference(definition_unfolding,[],[f55,f53]) ).
fof(f55,plain,
greater(age(sK0,sK3),sigma),
inference(cnf_transformation,[],[f40]) ).
fof(f275,plain,
! [X0] :
( ~ greater(age(sK0,X0),tau)
| dissimilar(sK0,sK1,X0) ),
inference(subsumption_resolution,[],[f274,f47]) ).
fof(f274,plain,
! [X0] :
( ~ greater(age(sK0,X0),tau)
| dissimilar(sK0,sK1,X0)
| ~ organization(sK0) ),
inference(trivial_inequality_removal,[],[f273]) ).
fof(f273,plain,
! [X0] :
( zero != zero
| ~ greater(age(sK0,X0),tau)
| dissimilar(sK0,sK1,X0)
| ~ organization(sK0) ),
inference(superposition,[],[f86,f50]) ).
fof(f86,plain,
! [X2,X0,X1] :
( zero != age(X0,X1)
| ~ greater(age(X0,X2),tau)
| dissimilar(X0,X1,X2)
| ~ organization(X0) ),
inference(definition_unfolding,[],[f57,f53]) ).
fof(f57,plain,
! [X2,X0,X1] :
( dissimilar(X0,X1,X2)
| ~ greater(age(X0,X2),sigma)
| zero != age(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f1170,plain,
( spl4_11
| ~ spl4_13
| spl4_14
| spl4_56 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| spl4_11
| ~ spl4_13
| spl4_14
| spl4_56 ),
inference(subsumption_resolution,[],[f1168,f47]) ).
fof(f1168,plain,
( ~ organization(sK0)
| spl4_11
| ~ spl4_13
| spl4_14
| spl4_56 ),
inference(subsumption_resolution,[],[f1167,f154]) ).
fof(f1167,plain,
( has_immunity(sK0,sK2)
| ~ organization(sK0)
| ~ spl4_13
| spl4_14
| spl4_56 ),
inference(subsumption_resolution,[],[f1166,f163]) ).
fof(f1166,plain,
( ~ is_aligned(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_14
| spl4_56 ),
inference(subsumption_resolution,[],[f1165,f168]) ).
fof(f1165,plain,
( positional_advantage(sK0,sK2)
| ~ is_aligned(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_56 ),
inference(subsumption_resolution,[],[f1162,f75]) ).
fof(f75,plain,
greater(mod2,mod1),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
greater(mod2,mod1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1162,plain,
( ~ greater(mod2,mod1)
| positional_advantage(sK0,sK2)
| ~ is_aligned(sK0,sK2)
| has_immunity(sK0,sK2)
| ~ organization(sK0)
| spl4_56 ),
inference(superposition,[],[f1084,f66]) ).
fof(f1084,plain,
( ~ greater(hazard_of_mortality(sK0,sK2),mod1)
| spl4_56 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1083,plain,
( spl4_56
<=> greater(hazard_of_mortality(sK0,sK2),mod1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).
fof(f1157,plain,
( spl4_8
| ~ spl4_56 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| spl4_8
| ~ spl4_56 ),
inference(subsumption_resolution,[],[f1150,f136]) ).
fof(f136,plain,
( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| spl4_8 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl4_8
<=> smaller(mod1,hazard_of_mortality(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f1150,plain,
( smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ spl4_56 ),
inference(resolution,[],[f1085,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| ~ greater(X1,X0) )
& ( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1085,plain,
( greater(hazard_of_mortality(sK0,sK2),mod1)
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f980,plain,
~ spl4_14,
inference(avatar_split_clause,[],[f979,f166]) ).
fof(f979,plain,
~ positional_advantage(sK0,sK2),
inference(subsumption_resolution,[],[f259,f48]) ).
fof(f259,plain,
( ~ positional_advantage(sK0,sK2)
| ~ robust_position(sK0) ),
inference(resolution,[],[f83,f69]) ).
fof(f69,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1)
| ~ robust_position(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f83,plain,
smaller_or_equal(age(sK0,sK2),tau),
inference(definition_unfolding,[],[f54,f53]) ).
fof(f54,plain,
smaller_or_equal(age(sK0,sK2),sigma),
inference(cnf_transformation,[],[f40]) ).
fof(f919,plain,
~ spl4_11,
inference(avatar_contradiction_clause,[],[f918]) ).
fof(f918,plain,
( $false
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f917,f47]) ).
fof(f917,plain,
( ~ organization(sK0)
| ~ spl4_11 ),
inference(subsumption_resolution,[],[f916,f49]) ).
fof(f916,plain,
( has_endowment(sK0)
| ~ organization(sK0)
| ~ spl4_11 ),
inference(resolution,[],[f153,f81]) ).
fof(f153,plain,
( has_immunity(sK0,sK2)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f245,plain,
spl4_6,
inference(avatar_split_clause,[],[f244,f124]) ).
fof(f124,plain,
( spl4_6
<=> positional_advantage(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f244,plain,
positional_advantage(sK0,sK3),
inference(subsumption_resolution,[],[f237,f48]) ).
fof(f237,plain,
( positional_advantage(sK0,sK3)
| ~ robust_position(sK0) ),
inference(resolution,[],[f82,f70]) ).
fof(f236,plain,
spl4_20,
inference(avatar_split_clause,[],[f235,f229]) ).
fof(f229,plain,
( spl4_20
<=> smaller_or_equal(zero,tau) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f235,plain,
smaller_or_equal(zero,tau),
inference(resolution,[],[f217,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) )
& ( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( 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,
! [X0,X1] :
( smaller_or_equal(X0,X1)
<=> ( X0 = X1
| smaller(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f217,plain,
smaller(zero,tau),
inference(resolution,[],[f52,f72]) ).
fof(f52,plain,
greater(tau,zero),
inference(cnf_transformation,[],[f40]) ).
fof(f232,plain,
( ~ spl4_19
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f223,f229,f225]) ).
fof(f223,plain,
( ~ smaller_or_equal(zero,tau)
| ~ positional_advantage(sK0,sK1) ),
inference(subsumption_resolution,[],[f219,f48]) ).
fof(f219,plain,
( ~ smaller_or_equal(zero,tau)
| ~ positional_advantage(sK0,sK1)
| ~ robust_position(sK0) ),
inference(superposition,[],[f69,f50]) ).
fof(f137,plain,
( spl4_3
| spl4_5
| ~ spl4_6
| ~ spl4_8
| spl4_1 ),
inference(avatar_split_clause,[],[f132,f89,f134,f124,f120,f110]) ).
fof(f89,plain,
( spl4_1
<=> smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f132,plain,
( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ positional_advantage(sK0,sK3)
| is_aligned(sK0,sK3)
| has_immunity(sK0,sK3)
| spl4_1 ),
inference(subsumption_resolution,[],[f100,f47]) ).
fof(f100,plain,
( ~ smaller(mod1,hazard_of_mortality(sK0,sK2))
| ~ positional_advantage(sK0,sK3)
| is_aligned(sK0,sK3)
| has_immunity(sK0,sK3)
| ~ organization(sK0)
| spl4_1 ),
inference(superposition,[],[f91,f65]) ).
fof(f65,plain,
! [X0,X1] :
( mod1 = hazard_of_mortality(X0,X1)
| ~ positional_advantage(X0,X1)
| is_aligned(X0,X1)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f91,plain,
( ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2))
| spl4_1 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f96,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f56,f93,f89]) ).
fof(f56,plain,
( hazard_of_mortality(sK0,sK2) != hazard_of_mortality(sK0,sK1)
| ~ smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT062+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n017.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 18:05:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (12387)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)
% 0.20/0.41 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (12388)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)
% 0.20/0.41 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (12390)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)
% 0.20/0.41 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (12389)lrs+1011_1:1_sil=2000:i=103:ep=RS:nm=32:ss=axioms:sos=on_0 on theBenchmark for (2999ds/103Mi)
% 0.20/0.41 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (12386)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)
% 0.20/0.41 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (12391)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)
% 0.20/0.41 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41 % (12392)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)
% 0.20/0.44 % (12392)First to succeed.
% 0.20/0.44 % (12392)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12385"
% 0.20/0.44 % (12387)Also succeeded, but the first one will report.
% 0.20/0.44 % (12385)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44 % (12392)Refutation found. Thanks to Tanya!
% 0.20/0.44 % SZS status Theorem for theBenchmark
% 0.20/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (12392)------------------------------
% 0.20/0.44 % (12392)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.44 % (12392)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.44 % (12392)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (12392)Memory used [KB]: 1447
% 0.20/0.44 % (12392)Time elapsed: 0.028 s
% 0.20/0.44 % (12392)Instructions burned: 38 (million)
% 0.20/0.44 % (12392)------------------------------
% 0.20/0.44 % (12392)------------------------------
% 0.20/0.44 % (12385)Success in time 0.088 s
%------------------------------------------------------------------------------