TSTP Solution File: MGT056+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : Tue Apr 30 13:55:56 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 111
% Syntax : Number of formulae : 412 ( 30 unt; 0 def)
% Number of atoms : 1389 ( 121 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 1649 ( 672 ~; 776 |; 79 &)
% ( 105 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 109 ( 107 usr; 101 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 335 ( 323 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1035,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f68,f73,f78,f83,f88,f93,f97,f106,f110,f115,f119,f123,f127,f135,f139,f143,f147,f155,f165,f169,f178,f182,f191,f199,f204,f209,f215,f222,f232,f245,f250,f260,f262,f266,f274,f279,f287,f298,f309,f317,f324,f333,f339,f352,f361,f365,f370,f374,f389,f397,f402,f416,f421,f428,f440,f472,f481,f512,f518,f524,f531,f543,f551,f556,f557,f566,f598,f604,f611,f627,f659,f668,f683,f689,f695,f699,f708,f712,f732,f744,f748,f752,f756,f817,f821,f854,f909,f910,f919,f923,f930,f941,f956,f960,f965,f983,f991,f997,f998,f1007,f1008,f1009,f1013,f1017,f1021,f1025,f1029,f1033,f1034]) ).
fof(f1034,plain,
( spl4_36
| ~ spl4_14
| ~ spl4_59 ),
inference(avatar_split_clause,[],[f703,f437,f121,f257]) ).
fof(f257,plain,
( spl4_36
<=> smaller_or_equal(zero,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f121,plain,
( spl4_14
<=> ! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f437,plain,
( spl4_59
<=> smaller(zero,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_59])]) ).
fof(f703,plain,
( smaller_or_equal(zero,eta)
| ~ spl4_14
| ~ spl4_59 ),
inference(resolution,[],[f439,f122]) ).
fof(f122,plain,
( ! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) )
| ~ spl4_14 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f439,plain,
( smaller(zero,eta)
| ~ spl4_59 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f1033,plain,
( spl4_100
| ~ spl4_13
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f638,f564,f117,f1031]) ).
fof(f1031,plain,
( spl4_100
<=> ! [X0] :
( sigma = X0
| smaller(sigma,X0)
| smaller(X0,eta) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_100])]) ).
fof(f117,plain,
( spl4_13
<=> ! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f564,plain,
( spl4_68
<=> ! [X0] :
( greater(eta,X0)
| sigma = X0
| smaller(sigma,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).
fof(f638,plain,
( ! [X0] :
( sigma = X0
| smaller(sigma,X0)
| smaller(X0,eta) )
| ~ spl4_13
| ~ spl4_68 ),
inference(resolution,[],[f565,f118]) ).
fof(f118,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) )
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f565,plain,
( ! [X0] :
( greater(eta,X0)
| sigma = X0
| smaller(sigma,X0) )
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f1029,plain,
( spl4_99
| ~ spl4_15
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f637,f564,f125,f1027]) ).
fof(f1027,plain,
( spl4_99
<=> ! [X0] :
( sigma = X0
| smaller(sigma,X0)
| ~ greater(X0,eta) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_99])]) ).
fof(f125,plain,
( spl4_15
<=> ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f637,plain,
( ! [X0] :
( sigma = X0
| smaller(sigma,X0)
| ~ greater(X0,eta) )
| ~ spl4_15
| ~ spl4_68 ),
inference(resolution,[],[f565,f126]) ).
fof(f126,plain,
( ! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) )
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f1025,plain,
( spl4_98
| ~ spl4_13
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f631,f554,f117,f1023]) ).
fof(f1023,plain,
( spl4_98
<=> ! [X0] :
( sigma = X0
| smaller(X0,sigma)
| smaller(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_98])]) ).
fof(f554,plain,
( spl4_67
<=> ! [X0] :
( greater(X0,zero)
| sigma = X0
| smaller(X0,sigma) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).
fof(f631,plain,
( ! [X0] :
( sigma = X0
| smaller(X0,sigma)
| smaller(zero,X0) )
| ~ spl4_13
| ~ spl4_67 ),
inference(resolution,[],[f555,f118]) ).
fof(f555,plain,
( ! [X0] :
( greater(X0,zero)
| sigma = X0
| smaller(X0,sigma) )
| ~ spl4_67 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f1021,plain,
( spl4_97
| ~ spl4_15
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f630,f554,f125,f1019]) ).
fof(f1019,plain,
( spl4_97
<=> ! [X0] :
( sigma = X0
| smaller(X0,sigma)
| ~ greater(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_97])]) ).
fof(f630,plain,
( ! [X0] :
( sigma = X0
| smaller(X0,sigma)
| ~ greater(zero,X0) )
| ~ spl4_15
| ~ spl4_67 ),
inference(resolution,[],[f555,f126]) ).
fof(f1017,plain,
( spl4_96
| ~ spl4_16
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f422,f419,f133,f1015]) ).
fof(f1015,plain,
( spl4_96
<=> ! [X0] :
( greater(X0,sigma)
| eta = X0
| smaller(X0,eta) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_96])]) ).
fof(f133,plain,
( spl4_16
<=> ! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f419,plain,
( spl4_57
<=> ! [X0] :
( greater(X0,sigma)
| ~ greater(X0,eta) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).
fof(f422,plain,
( ! [X0] :
( greater(X0,sigma)
| eta = X0
| smaller(X0,eta) )
| ~ spl4_16
| ~ spl4_57 ),
inference(resolution,[],[f420,f134]) ).
fof(f134,plain,
( ! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) )
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f420,plain,
( ! [X0] :
( ~ greater(X0,eta)
| greater(X0,sigma) )
| ~ spl4_57 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f1013,plain,
( spl4_95
| ~ spl4_44
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f403,f350,f321,f1011]) ).
fof(f1011,plain,
( spl4_95
<=> ! [X0] :
( greater(eta,X0)
| zero = X0
| smaller(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_95])]) ).
fof(f321,plain,
( spl4_44
<=> greater(eta,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f350,plain,
( spl4_48
<=> ! [X2,X0,X1] :
( greater(X0,X1)
| ~ greater(X0,X2)
| X1 = X2
| smaller(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).
fof(f403,plain,
( ! [X0] :
( greater(eta,X0)
| zero = X0
| smaller(zero,X0) )
| ~ spl4_44
| ~ spl4_48 ),
inference(resolution,[],[f323,f351]) ).
fof(f351,plain,
( ! [X2,X0,X1] :
( ~ greater(X0,X2)
| greater(X0,X1)
| X1 = X2
| smaller(X2,X1) )
| ~ spl4_48 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f323,plain,
( greater(eta,zero)
| ~ spl4_44 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f1009,plain,
( ~ spl4_2
| ~ spl4_28
| ~ spl4_32
| ~ spl4_41
| ~ spl4_90 ),
inference(avatar_split_clause,[],[f935,f921,f302,f229,f206,f65]) ).
fof(f65,plain,
( spl4_2
<=> has_endowment(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f206,plain,
( spl4_28
<=> has_immunity(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f229,plain,
( spl4_32
<=> greater(eta,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_32])]) ).
fof(f302,plain,
( spl4_41
<=> eta = age(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f921,plain,
( spl4_90
<=> ! [X0,X1] :
( ~ greater(age(X0,X1),sigma)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_90])]) ).
fof(f935,plain,
( ~ greater(eta,sigma)
| ~ has_immunity(sK0,sK2)
| ~ has_endowment(sK0)
| ~ spl4_41
| ~ spl4_90 ),
inference(superposition,[],[f922,f304]) ).
fof(f304,plain,
( eta = age(sK0,sK2)
| ~ spl4_41 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f922,plain,
( ! [X0,X1] :
( ~ greater(age(X0,X1),sigma)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) )
| ~ spl4_90 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f1008,plain,
( ~ spl4_2
| spl4_35
| ~ spl4_30
| ~ spl4_5
| ~ spl4_89 ),
inference(avatar_split_clause,[],[f924,f917,f80,f219,f253,f65]) ).
fof(f253,plain,
( spl4_35
<=> has_immunity(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f219,plain,
( spl4_30
<=> smaller_or_equal(zero,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f80,plain,
( spl4_5
<=> zero = age(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f917,plain,
( spl4_89
<=> ! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),sigma)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).
fof(f924,plain,
( ~ smaller_or_equal(zero,sigma)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0)
| ~ spl4_5
| ~ spl4_89 ),
inference(superposition,[],[f918,f82]) ).
fof(f82,plain,
( zero = age(sK0,sK1)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f918,plain,
( ! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),sigma)
| has_immunity(X0,X1)
| ~ has_endowment(X0) )
| ~ spl4_89 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f1007,plain,
( spl4_10
| ~ spl4_28
| ~ spl4_75 ),
inference(avatar_split_clause,[],[f690,f687,f206,f103]) ).
fof(f103,plain,
( spl4_10
<=> hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f687,plain,
( spl4_75
<=> ! [X0] :
( hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,X0)
| ~ has_immunity(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).
fof(f690,plain,
( hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK2)
| ~ spl4_28
| ~ spl4_75 ),
inference(resolution,[],[f688,f208]) ).
fof(f208,plain,
( has_immunity(sK0,sK2)
| ~ spl4_28 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f688,plain,
( ! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,X0) )
| ~ spl4_75 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f998,plain,
( spl4_31
| spl4_63
| ~ spl4_18
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f903,f521,f141,f515,f225]) ).
fof(f225,plain,
( spl4_31
<=> eta = sigma ),
introduced(avatar_definition,[new_symbols(naming,[spl4_31])]) ).
fof(f515,plain,
( spl4_63
<=> smaller(eta,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).
fof(f141,plain,
( spl4_18
<=> ! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f521,plain,
( spl4_64
<=> smaller_or_equal(eta,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).
fof(f903,plain,
( smaller(eta,sigma)
| eta = sigma
| ~ spl4_18
| ~ spl4_64 ),
inference(resolution,[],[f523,f142]) ).
fof(f142,plain,
( ! [X0,X1] :
( ~ smaller_or_equal(X0,X1)
| smaller(X0,X1)
| X0 = X1 )
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f523,plain,
( smaller_or_equal(eta,sigma)
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f997,plain,
( spl4_93
| ~ spl4_19
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f404,f321,f145,f954]) ).
fof(f954,plain,
( spl4_93
<=> ! [X0] :
( greater(X0,zero)
| ~ greater(X0,eta) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_93])]) ).
fof(f145,plain,
( spl4_19
<=> ! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f404,plain,
( ! [X0] :
( greater(X0,zero)
| ~ greater(X0,eta) )
| ~ spl4_19
| ~ spl4_44 ),
inference(resolution,[],[f323,f146]) ).
fof(f146,plain,
( ! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f991,plain,
( spl4_32
| ~ spl4_12
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f409,f394,f113,f229]) ).
fof(f113,plain,
( spl4_12
<=> ! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f394,plain,
( spl4_54
<=> smaller(sigma,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).
fof(f409,plain,
( greater(eta,sigma)
| ~ spl4_12
| ~ spl4_54 ),
inference(resolution,[],[f396,f114]) ).
fof(f114,plain,
( ! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) )
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f396,plain,
( smaller(sigma,eta)
| ~ spl4_54 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f983,plain,
( spl4_35
| ~ spl4_1
| spl4_94
| ~ spl4_9
| ~ spl4_53 ),
inference(avatar_split_clause,[],[f533,f387,f99,f981,f60,f253]) ).
fof(f60,plain,
( spl4_1
<=> organization(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f981,plain,
( spl4_94
<=> ! [X0] :
( ~ has_immunity(sK0,X0)
| greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_94])]) ).
fof(f99,plain,
( spl4_9
<=> greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f387,plain,
( spl4_53
<=> ! [X0,X3,X2,X1] :
( has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| greater(X3,hazard_of_mortality(X0,X2))
| ~ greater(X3,hazard_of_mortality(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f533,plain,
( ! [X0] :
( ~ has_immunity(sK0,X0)
| ~ organization(sK0)
| greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,X0))
| has_immunity(sK0,sK1) )
| ~ spl4_9
| ~ spl4_53 ),
inference(resolution,[],[f100,f388]) ).
fof(f388,plain,
( ! [X2,X3,X0,X1] :
( ~ greater(X3,hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| greater(X3,hazard_of_mortality(X0,X2))
| has_immunity(X0,X1) )
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f100,plain,
( greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f965,plain,
( spl4_10
| ~ spl4_35
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f685,f681,f253,f103]) ).
fof(f681,plain,
( spl4_74
<=> ! [X0] :
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0)
| ~ has_immunity(sK0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).
fof(f685,plain,
( hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK2)
| ~ spl4_35
| ~ spl4_74 ),
inference(resolution,[],[f682,f255]) ).
fof(f255,plain,
( has_immunity(sK0,sK1)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f682,plain,
( ! [X0] :
( ~ has_immunity(sK0,X0)
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0) )
| ~ spl4_74 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f960,plain,
( ~ spl4_4
| ~ spl4_31
| spl4_44 ),
inference(avatar_split_clause,[],[f959,f321,f225,f75]) ).
fof(f75,plain,
( spl4_4
<=> greater(sigma,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f959,plain,
( ~ greater(sigma,zero)
| ~ spl4_31
| spl4_44 ),
inference(forward_demodulation,[],[f322,f227]) ).
fof(f227,plain,
( eta = sigma
| ~ spl4_31 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f322,plain,
( ~ greater(eta,zero)
| spl4_44 ),
inference(avatar_component_clause,[],[f321]) ).
fof(f956,plain,
( spl4_93
| ~ spl4_19
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f404,f321,f145,f954]) ).
fof(f941,plain,
( spl4_92
| ~ spl4_31
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f451,f359,f225,f939]) ).
fof(f939,plain,
( spl4_92
<=> ! [X0,X1] :
( smaller(age(X0,X1),sigma)
| ~ has_endowment(X0)
| sigma = age(X0,X1)
| ~ has_immunity(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).
fof(f359,plain,
( spl4_49
<=> ! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ has_endowment(X0)
| eta = age(X0,X1)
| smaller(age(X0,X1),eta) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).
fof(f451,plain,
( ! [X0,X1] :
( smaller(age(X0,X1),sigma)
| ~ has_endowment(X0)
| sigma = age(X0,X1)
| ~ has_immunity(X0,X1) )
| ~ spl4_31
| ~ spl4_49 ),
inference(superposition,[],[f360,f227]) ).
fof(f360,plain,
( ! [X0,X1] :
( smaller(age(X0,X1),eta)
| ~ has_endowment(X0)
| eta = age(X0,X1)
| ~ has_immunity(X0,X1) )
| ~ spl4_49 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f930,plain,
( spl4_91
| ~ spl4_31
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f455,f413,f225,f927]) ).
fof(f927,plain,
( spl4_91
<=> smaller_or_equal(sigma,age(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).
fof(f413,plain,
( spl4_56
<=> smaller_or_equal(eta,age(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).
fof(f455,plain,
( smaller_or_equal(sigma,age(sK0,sK3))
| ~ spl4_31
| ~ spl4_56 ),
inference(superposition,[],[f415,f227]) ).
fof(f415,plain,
( smaller_or_equal(eta,age(sK0,sK3))
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f923,plain,
( spl4_90
| ~ spl4_22
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f237,f225,f167,f921]) ).
fof(f167,plain,
( spl4_22
<=> ! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f237,plain,
( ! [X0,X1] :
( ~ greater(age(X0,X1),sigma)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) )
| ~ spl4_22
| ~ spl4_31 ),
inference(superposition,[],[f168,f227]) ).
fof(f168,plain,
( ! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) )
| ~ spl4_22 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f919,plain,
( spl4_89
| ~ spl4_21
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f236,f225,f163,f917]) ).
fof(f163,plain,
( spl4_21
<=> ! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f236,plain,
( ! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),sigma)
| has_immunity(X0,X1)
| ~ has_endowment(X0) )
| ~ spl4_21
| ~ spl4_31 ),
inference(superposition,[],[f164,f227]) ).
fof(f164,plain,
( ! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) )
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f910,plain,
( spl4_87
| ~ spl4_7
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f569,f225,f90,f851]) ).
fof(f851,plain,
( spl4_87
<=> greater(age(sK0,sK3),sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).
fof(f90,plain,
( spl4_7
<=> greater(age(sK0,sK3),eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f569,plain,
( greater(age(sK0,sK3),sigma)
| ~ spl4_7
| ~ spl4_31 ),
inference(superposition,[],[f92,f227]) ).
fof(f92,plain,
( greater(age(sK0,sK3),eta)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f909,plain,
( ~ spl4_88
| spl4_27
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f239,f225,f201,f906]) ).
fof(f906,plain,
( spl4_88
<=> greater(sigma,age(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).
fof(f201,plain,
( spl4_27
<=> greater(eta,age(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f239,plain,
( ~ greater(sigma,age(sK0,sK3))
| spl4_27
| ~ spl4_31 ),
inference(superposition,[],[f203,f227]) ).
fof(f203,plain,
( ~ greater(eta,age(sK0,sK3))
| spl4_27 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f854,plain,
( spl4_87
| ~ spl4_7
| ~ spl4_57 ),
inference(avatar_split_clause,[],[f423,f419,f90,f851]) ).
fof(f423,plain,
( greater(age(sK0,sK3),sigma)
| ~ spl4_7
| ~ spl4_57 ),
inference(resolution,[],[f420,f92]) ).
fof(f821,plain,
( spl4_86
| ~ spl4_16
| ~ spl4_53 ),
inference(avatar_split_clause,[],[f390,f387,f133,f819]) ).
fof(f819,plain,
( spl4_86
<=> ! [X0,X3,X2,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| greater(X2,hazard_of_mortality(X0,X1))
| has_immunity(X0,X3)
| hazard_of_mortality(X0,X3) = X2
| smaller(X2,hazard_of_mortality(X0,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_86])]) ).
fof(f390,plain,
( ! [X2,X3,X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| greater(X2,hazard_of_mortality(X0,X1))
| has_immunity(X0,X3)
| hazard_of_mortality(X0,X3) = X2
| smaller(X2,hazard_of_mortality(X0,X3)) )
| ~ spl4_16
| ~ spl4_53 ),
inference(resolution,[],[f388,f134]) ).
fof(f817,plain,
( spl4_85
| ~ spl4_23
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f356,f350,f176,f815]) ).
fof(f815,plain,
( spl4_85
<=> ! [X0,X3,X2,X1] :
( greater(hazard_of_mortality(X0,X1),X2)
| hazard_of_mortality(X0,X3) = X2
| smaller(hazard_of_mortality(X0,X3),X2)
| has_immunity(X0,X1)
| ~ has_immunity(X0,X3)
| ~ organization(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).
fof(f176,plain,
( spl4_23
<=> ! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_23])]) ).
fof(f356,plain,
( ! [X2,X3,X0,X1] :
( greater(hazard_of_mortality(X0,X1),X2)
| hazard_of_mortality(X0,X3) = X2
| smaller(hazard_of_mortality(X0,X3),X2)
| has_immunity(X0,X1)
| ~ has_immunity(X0,X3)
| ~ organization(X0) )
| ~ spl4_23
| ~ spl4_48 ),
inference(resolution,[],[f351,f177]) ).
fof(f177,plain,
( ! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) )
| ~ spl4_23 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f756,plain,
( spl4_84
| ~ spl4_14
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f384,f372,f121,f754]) ).
fof(f754,plain,
( spl4_84
<=> ! [X2,X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_immunity(X0,X2)
| smaller_or_equal(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).
fof(f372,plain,
( spl4_52
<=> ! [X2,X0,X1] :
( has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).
fof(f384,plain,
( ! [X2,X0,X1] :
( ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_immunity(X0,X2)
| smaller_or_equal(hazard_of_mortality(X0,X1),hazard_of_mortality(X0,X2)) )
| ~ spl4_14
| ~ spl4_52 ),
inference(resolution,[],[f373,f122]) ).
fof(f373,plain,
( ! [X2,X0,X1] :
( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| has_immunity(X0,X1) )
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f752,plain,
( spl4_83
| ~ spl4_12
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f377,f359,f113,f750]) ).
fof(f750,plain,
( spl4_83
<=> ! [X0,X1] :
( ~ has_endowment(X0)
| eta = age(X0,X1)
| ~ has_immunity(X0,X1)
| greater(eta,age(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).
fof(f377,plain,
( ! [X0,X1] :
( ~ has_endowment(X0)
| eta = age(X0,X1)
| ~ has_immunity(X0,X1)
| greater(eta,age(X0,X1)) )
| ~ spl4_12
| ~ spl4_49 ),
inference(resolution,[],[f360,f114]) ).
fof(f748,plain,
( spl4_82
| ~ spl4_14
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f376,f359,f121,f746]) ).
fof(f746,plain,
( spl4_82
<=> ! [X0,X1] :
( ~ has_endowment(X0)
| eta = age(X0,X1)
| ~ has_immunity(X0,X1)
| smaller_or_equal(age(X0,X1),eta) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).
fof(f376,plain,
( ! [X0,X1] :
( ~ has_endowment(X0)
| eta = age(X0,X1)
| ~ has_immunity(X0,X1)
| smaller_or_equal(age(X0,X1),eta) )
| ~ spl4_14
| ~ spl4_49 ),
inference(resolution,[],[f360,f122]) ).
fof(f744,plain,
( spl4_81
| ~ spl4_16
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f353,f350,f133,f742]) ).
fof(f742,plain,
( spl4_81
<=> ! [X2,X0,X1] :
( greater(X0,X1)
| X1 = X2
| smaller(X2,X1)
| X0 = X2
| smaller(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).
fof(f353,plain,
( ! [X2,X0,X1] :
( greater(X0,X1)
| X1 = X2
| smaller(X2,X1)
| X0 = X2
| smaller(X0,X2) )
| ~ spl4_16
| ~ spl4_48 ),
inference(resolution,[],[f351,f134]) ).
fof(f732,plain,
( spl4_80
| ~ spl4_14
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f340,f337,f121,f730]) ).
fof(f730,plain,
( spl4_80
<=> ! [X0,X1] :
( smaller(X1,X0)
| X0 = X1
| smaller_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).
fof(f337,plain,
( spl4_47
<=> ! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| smaller(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).
fof(f340,plain,
( ! [X0,X1] :
( smaller(X1,X0)
| X0 = X1
| smaller_or_equal(X0,X1) )
| ~ spl4_14
| ~ spl4_47 ),
inference(resolution,[],[f338,f122]) ).
fof(f338,plain,
( ! [X0,X1] :
( smaller(X1,X0)
| smaller(X0,X1)
| X0 = X1 )
| ~ spl4_47 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f712,plain,
( spl4_79
| ~ spl4_9
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f534,f350,f99,f710]) ).
fof(f710,plain,
( spl4_79
<=> ! [X0] :
( greater(hazard_of_mortality(sK0,sK3),X0)
| hazard_of_mortality(sK0,sK1) = X0
| smaller(hazard_of_mortality(sK0,sK1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).
fof(f534,plain,
( ! [X0] :
( greater(hazard_of_mortality(sK0,sK3),X0)
| hazard_of_mortality(sK0,sK1) = X0
| smaller(hazard_of_mortality(sK0,sK1),X0) )
| ~ spl4_9
| ~ spl4_48 ),
inference(resolution,[],[f100,f351]) ).
fof(f708,plain,
( spl4_78
| ~ spl4_16
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f334,f315,f133,f706]) ).
fof(f706,plain,
( spl4_78
<=> ! [X0] :
( greater(X0,hazard_of_mortality(sK0,sK1))
| hazard_of_mortality(sK0,sK3) = X0
| smaller(X0,hazard_of_mortality(sK0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).
fof(f315,plain,
( spl4_43
<=> ! [X0] :
( greater(X0,hazard_of_mortality(sK0,sK1))
| ~ greater(X0,hazard_of_mortality(sK0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).
fof(f334,plain,
( ! [X0] :
( greater(X0,hazard_of_mortality(sK0,sK1))
| hazard_of_mortality(sK0,sK3) = X0
| smaller(X0,hazard_of_mortality(sK0,sK3)) )
| ~ spl4_16
| ~ spl4_43 ),
inference(resolution,[],[f316,f134]) ).
fof(f316,plain,
( ! [X0] :
( ~ greater(X0,hazard_of_mortality(sK0,sK3))
| greater(X0,hazard_of_mortality(sK0,sK1)) )
| ~ spl4_43 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f699,plain,
( spl4_77
| ~ spl4_16
| ~ spl4_39 ),
inference(avatar_split_clause,[],[f467,f285,f133,f697]) ).
fof(f697,plain,
( spl4_77
<=> ! [X0] :
( greater(X0,sigma)
| age(sK0,sK3) = X0
| smaller(X0,age(sK0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).
fof(f285,plain,
( spl4_39
<=> ! [X0] :
( greater(X0,sigma)
| ~ greater(X0,age(sK0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).
fof(f467,plain,
( ! [X0] :
( greater(X0,sigma)
| age(sK0,sK3) = X0
| smaller(X0,age(sK0,sK3)) )
| ~ spl4_16
| ~ spl4_39 ),
inference(resolution,[],[f286,f134]) ).
fof(f286,plain,
( ! [X0] :
( ~ greater(X0,age(sK0,sK3))
| greater(X0,sigma) )
| ~ spl4_39 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f695,plain,
( spl4_76
| ~ spl4_16
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f300,f248,f133,f693]) ).
fof(f693,plain,
( spl4_76
<=> ! [X0] :
( greater(X0,eta)
| age(sK0,sK3) = X0
| smaller(X0,age(sK0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).
fof(f248,plain,
( spl4_34
<=> ! [X0] :
( greater(X0,eta)
| ~ greater(X0,age(sK0,sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f300,plain,
( ! [X0] :
( greater(X0,eta)
| age(sK0,sK3) = X0
| smaller(X0,age(sK0,sK3)) )
| ~ spl4_16
| ~ spl4_34 ),
inference(resolution,[],[f249,f134]) ).
fof(f249,plain,
( ! [X0] :
( ~ greater(X0,age(sK0,sK3))
| greater(X0,eta) )
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f689,plain,
( ~ spl4_1
| spl4_75
| ~ spl4_24
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f265,f253,f180,f687,f60]) ).
fof(f180,plain,
( spl4_24
<=> ! [X2,X0,X1] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f265,plain,
( ! [X0] :
( hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,X0)
| ~ has_immunity(sK0,X0)
| ~ organization(sK0) )
| ~ spl4_24
| ~ spl4_35 ),
inference(resolution,[],[f255,f181]) ).
fof(f181,plain,
( ! [X2,X0,X1] :
( ~ has_immunity(X0,X2)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) )
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f683,plain,
( ~ spl4_1
| spl4_74
| ~ spl4_24
| ~ spl4_28 ),
inference(avatar_split_clause,[],[f210,f206,f180,f681,f60]) ).
fof(f210,plain,
( ! [X0] :
( hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,X0)
| ~ has_immunity(sK0,X0)
| ~ organization(sK0) )
| ~ spl4_24
| ~ spl4_28 ),
inference(resolution,[],[f208,f181]) ).
fof(f668,plain,
( spl4_73
| ~ spl4_7
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f354,f350,f90,f666]) ).
fof(f666,plain,
( spl4_73
<=> ! [X0] :
( greater(age(sK0,sK3),X0)
| eta = X0
| smaller(eta,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).
fof(f354,plain,
( ! [X0] :
( greater(age(sK0,sK3),X0)
| eta = X0
| smaller(eta,X0) )
| ~ spl4_7
| ~ spl4_48 ),
inference(resolution,[],[f351,f92]) ).
fof(f659,plain,
( spl4_32
| ~ spl4_12
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f409,f394,f113,f229]) ).
fof(f627,plain,
( spl4_72
| ~ spl4_4
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f357,f350,f75,f625]) ).
fof(f625,plain,
( spl4_72
<=> ! [X0] :
( greater(sigma,X0)
| zero = X0
| smaller(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_72])]) ).
fof(f357,plain,
( ! [X0] :
( greater(sigma,X0)
| zero = X0
| smaller(zero,X0) )
| ~ spl4_4
| ~ spl4_48 ),
inference(resolution,[],[f351,f77]) ).
fof(f77,plain,
( greater(sigma,zero)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f611,plain,
( spl4_71
| ~ spl4_12
| ~ spl4_42 ),
inference(avatar_split_clause,[],[f588,f306,f113,f608]) ).
fof(f608,plain,
( spl4_71
<=> greater(eta,age(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_71])]) ).
fof(f306,plain,
( spl4_42
<=> smaller(age(sK0,sK2),eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f588,plain,
( greater(eta,age(sK0,sK2))
| ~ spl4_12
| ~ spl4_42 ),
inference(resolution,[],[f308,f114]) ).
fof(f308,plain,
( smaller(age(sK0,sK2),eta)
| ~ spl4_42 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f604,plain,
( spl4_70
| ~ spl4_26
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f238,f225,f196,f601]) ).
fof(f601,plain,
( spl4_70
<=> smaller(sigma,age(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_70])]) ).
fof(f196,plain,
( spl4_26
<=> smaller(eta,age(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f238,plain,
( smaller(sigma,age(sK0,sK3))
| ~ spl4_26
| ~ spl4_31 ),
inference(superposition,[],[f198,f227]) ).
fof(f198,plain,
( smaller(eta,age(sK0,sK3))
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f598,plain,
( ~ spl4_69
| ~ spl4_31
| spl4_32 ),
inference(avatar_split_clause,[],[f504,f229,f225,f595]) ).
fof(f595,plain,
( spl4_69
<=> greater(sigma,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_69])]) ).
fof(f504,plain,
( ~ greater(sigma,sigma)
| ~ spl4_31
| spl4_32 ),
inference(superposition,[],[f230,f227]) ).
fof(f230,plain,
( ~ greater(eta,sigma)
| spl4_32 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f566,plain,
( spl4_68
| ~ spl4_32
| ~ spl4_48 ),
inference(avatar_split_clause,[],[f355,f350,f229,f564]) ).
fof(f355,plain,
( ! [X0] :
( greater(eta,X0)
| sigma = X0
| smaller(sigma,X0) )
| ~ spl4_32
| ~ spl4_48 ),
inference(resolution,[],[f351,f231]) ).
fof(f231,plain,
( greater(eta,sigma)
| ~ spl4_32 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f557,plain,
( spl4_32
| ~ spl4_12
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f409,f394,f113,f229]) ).
fof(f556,plain,
( spl4_67
| ~ spl4_16
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f246,f243,f133,f554]) ).
fof(f243,plain,
( spl4_33
<=> ! [X0] :
( greater(X0,zero)
| ~ greater(X0,sigma) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f246,plain,
( ! [X0] :
( greater(X0,zero)
| sigma = X0
| smaller(X0,sigma) )
| ~ spl4_16
| ~ spl4_33 ),
inference(resolution,[],[f244,f134]) ).
fof(f244,plain,
( ! [X0] :
( ~ greater(X0,sigma)
| greater(X0,zero) )
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f551,plain,
( ~ spl4_2
| ~ spl4_28
| ~ spl4_66
| ~ spl4_22
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f311,f302,f167,f548,f206,f65]) ).
fof(f548,plain,
( spl4_66
<=> greater(eta,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).
fof(f311,plain,
( ~ greater(eta,eta)
| ~ has_immunity(sK0,sK2)
| ~ has_endowment(sK0)
| ~ spl4_22
| ~ spl4_41 ),
inference(superposition,[],[f168,f304]) ).
fof(f543,plain,
( spl4_65
| ~ spl4_14
| ~ spl4_45 ),
inference(avatar_split_clause,[],[f434,f326,f121,f540]) ).
fof(f540,plain,
( spl4_65
<=> smaller_or_equal(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).
fof(f326,plain,
( spl4_45
<=> smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).
fof(f434,plain,
( smaller_or_equal(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl4_14
| ~ spl4_45 ),
inference(resolution,[],[f328,f122]) ).
fof(f328,plain,
( smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl4_45 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f531,plain,
( spl4_9
| ~ spl4_12
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f283,f276,f113,f99]) ).
fof(f276,plain,
( spl4_38
<=> smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
fof(f283,plain,
( greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| ~ spl4_12
| ~ spl4_38 ),
inference(resolution,[],[f278,f114]) ).
fof(f278,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK3))
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f524,plain,
( spl4_64
| ~ spl4_6
| ~ spl4_31
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f483,f302,f225,f85,f521]) ).
fof(f85,plain,
( spl4_6
<=> smaller_or_equal(age(sK0,sK2),eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f483,plain,
( smaller_or_equal(eta,sigma)
| ~ spl4_6
| ~ spl4_31
| ~ spl4_41 ),
inference(forward_demodulation,[],[f443,f304]) ).
fof(f443,plain,
( smaller_or_equal(age(sK0,sK2),sigma)
| ~ spl4_6
| ~ spl4_31 ),
inference(superposition,[],[f87,f227]) ).
fof(f87,plain,
( smaller_or_equal(age(sK0,sK2),eta)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f518,plain,
( ~ spl4_63
| ~ spl4_31
| ~ spl4_41
| spl4_42 ),
inference(avatar_split_clause,[],[f482,f306,f302,f225,f515]) ).
fof(f482,plain,
( ~ smaller(eta,sigma)
| ~ spl4_31
| ~ spl4_41
| spl4_42 ),
inference(forward_demodulation,[],[f450,f304]) ).
fof(f450,plain,
( ~ smaller(age(sK0,sK2),sigma)
| ~ spl4_31
| spl4_42 ),
inference(superposition,[],[f307,f227]) ).
fof(f307,plain,
( ~ smaller(age(sK0,sK2),eta)
| spl4_42 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f512,plain,
( ~ spl4_62
| ~ spl4_31
| ~ spl4_41
| spl4_42 ),
inference(avatar_split_clause,[],[f459,f306,f302,f225,f509]) ).
fof(f509,plain,
( spl4_62
<=> smaller(sigma,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).
fof(f459,plain,
( ~ smaller(sigma,sigma)
| ~ spl4_31
| ~ spl4_41
| spl4_42 ),
inference(forward_demodulation,[],[f458,f227]) ).
fof(f458,plain,
( ~ smaller(eta,sigma)
| ~ spl4_31
| ~ spl4_41
| spl4_42 ),
inference(forward_demodulation,[],[f450,f304]) ).
fof(f481,plain,
( spl4_61
| ~ spl4_14
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f408,f394,f121,f478]) ).
fof(f478,plain,
( spl4_61
<=> smaller_or_equal(sigma,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).
fof(f408,plain,
( smaller_or_equal(sigma,eta)
| ~ spl4_14
| ~ spl4_54 ),
inference(resolution,[],[f396,f122]) ).
fof(f472,plain,
( spl4_60
| ~ spl4_3
| ~ spl4_31 ),
inference(avatar_split_clause,[],[f233,f225,f70,f469]) ).
fof(f469,plain,
( spl4_60
<=> greater_or_equal(sigma,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).
fof(f70,plain,
( spl4_3
<=> greater_or_equal(eta,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f233,plain,
( greater_or_equal(sigma,sigma)
| ~ spl4_3
| ~ spl4_31 ),
inference(superposition,[],[f72,f227]) ).
fof(f72,plain,
( greater_or_equal(eta,sigma)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f440,plain,
( spl4_59
| ~ spl4_13
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f406,f321,f117,f437]) ).
fof(f406,plain,
( smaller(zero,eta)
| ~ spl4_13
| ~ spl4_44 ),
inference(resolution,[],[f323,f118]) ).
fof(f428,plain,
( spl4_58
| ~ spl4_14
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f282,f276,f121,f425]) ).
fof(f425,plain,
( spl4_58
<=> smaller_or_equal(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f282,plain,
( smaller_or_equal(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK3))
| ~ spl4_14
| ~ spl4_38 ),
inference(resolution,[],[f278,f122]) ).
fof(f421,plain,
( spl4_57
| ~ spl4_19
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f289,f229,f145,f419]) ).
fof(f289,plain,
( ! [X0] :
( greater(X0,sigma)
| ~ greater(X0,eta) )
| ~ spl4_19
| ~ spl4_32 ),
inference(resolution,[],[f231,f146]) ).
fof(f416,plain,
( spl4_56
| ~ spl4_14
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f216,f196,f121,f413]) ).
fof(f216,plain,
( smaller_or_equal(eta,age(sK0,sK3))
| ~ spl4_14
| ~ spl4_26 ),
inference(resolution,[],[f198,f122]) ).
fof(f402,plain,
( ~ spl4_55
| ~ spl4_41
| spl4_42 ),
inference(avatar_split_clause,[],[f313,f306,f302,f399]) ).
fof(f399,plain,
( spl4_55
<=> smaller(eta,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_55])]) ).
fof(f313,plain,
( ~ smaller(eta,eta)
| ~ spl4_41
| spl4_42 ),
inference(superposition,[],[f307,f304]) ).
fof(f397,plain,
( spl4_54
| ~ spl4_13
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f291,f229,f117,f394]) ).
fof(f291,plain,
( smaller(sigma,eta)
| ~ spl4_13
| ~ spl4_32 ),
inference(resolution,[],[f231,f118]) ).
fof(f389,plain,
( spl4_53
| ~ spl4_19
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f184,f176,f145,f387]) ).
fof(f184,plain,
( ! [X2,X3,X0,X1] :
( has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| greater(X3,hazard_of_mortality(X0,X2))
| ~ greater(X3,hazard_of_mortality(X0,X1)) )
| ~ spl4_19
| ~ spl4_23 ),
inference(resolution,[],[f177,f146]) ).
fof(f374,plain,
( spl4_52
| ~ spl4_13
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f186,f176,f117,f372]) ).
fof(f186,plain,
( ! [X2,X0,X1] :
( has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
| ~ spl4_13
| ~ spl4_23 ),
inference(resolution,[],[f177,f118]) ).
fof(f370,plain,
( ~ spl4_51
| ~ spl4_15
| ~ spl4_32 ),
inference(avatar_split_clause,[],[f290,f229,f125,f367]) ).
fof(f367,plain,
( spl4_51
<=> greater(sigma,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).
fof(f290,plain,
( ~ greater(sigma,eta)
| ~ spl4_15
| ~ spl4_32 ),
inference(resolution,[],[f231,f126]) ).
fof(f365,plain,
( spl4_50
| ~ spl4_15
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f185,f176,f125,f363]) ).
fof(f363,plain,
( spl4_50
<=> ! [X2,X0,X1] :
( has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).
fof(f185,plain,
( ! [X2,X0,X1] :
( has_immunity(X0,X1)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
| ~ spl4_15
| ~ spl4_23 ),
inference(resolution,[],[f177,f126]) ).
fof(f361,plain,
( spl4_49
| ~ spl4_16
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f173,f167,f133,f359]) ).
fof(f173,plain,
( ! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ has_endowment(X0)
| eta = age(X0,X1)
| smaller(age(X0,X1),eta) )
| ~ spl4_16
| ~ spl4_22 ),
inference(resolution,[],[f168,f134]) ).
fof(f352,plain,
( spl4_48
| ~ spl4_16
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f161,f145,f133,f350]) ).
fof(f161,plain,
( ! [X2,X0,X1] :
( greater(X0,X1)
| ~ greater(X0,X2)
| X1 = X2
| smaller(X2,X1) )
| ~ spl4_16
| ~ spl4_19 ),
inference(resolution,[],[f146,f134]) ).
fof(f339,plain,
( spl4_47
| ~ spl4_13
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f150,f133,f117,f337]) ).
fof(f150,plain,
( ! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| smaller(X1,X0) )
| ~ spl4_13
| ~ spl4_16 ),
inference(resolution,[],[f134,f118]) ).
fof(f333,plain,
( spl4_45
| spl4_46
| spl4_9
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f148,f133,f99,f330,f326]) ).
fof(f330,plain,
( spl4_46
<=> hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).
fof(f148,plain,
( hazard_of_mortality(sK0,sK1) = hazard_of_mortality(sK0,sK3)
| smaller(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| spl4_9
| ~ spl4_16 ),
inference(resolution,[],[f134,f101]) ).
fof(f101,plain,
( ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1))
| spl4_9 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f324,plain,
( spl4_44
| ~ spl4_32
| ~ spl4_33 ),
inference(avatar_split_clause,[],[f288,f243,f229,f321]) ).
fof(f288,plain,
( greater(eta,zero)
| ~ spl4_32
| ~ spl4_33 ),
inference(resolution,[],[f231,f244]) ).
fof(f317,plain,
( spl4_43
| ~ spl4_9
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f267,f145,f99,f315]) ).
fof(f267,plain,
( ! [X0] :
( greater(X0,hazard_of_mortality(sK0,sK1))
| ~ greater(X0,hazard_of_mortality(sK0,sK3)) )
| ~ spl4_9
| ~ spl4_19 ),
inference(resolution,[],[f100,f146]) ).
fof(f309,plain,
( spl4_41
| spl4_42
| ~ spl4_6
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f157,f141,f85,f306,f302]) ).
fof(f157,plain,
( smaller(age(sK0,sK2),eta)
| eta = age(sK0,sK2)
| ~ spl4_6
| ~ spl4_18 ),
inference(resolution,[],[f142,f87]) ).
fof(f298,plain,
( ~ spl4_2
| ~ spl4_35
| ~ spl4_40
| ~ spl4_5
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f174,f167,f80,f295,f253,f65]) ).
fof(f295,plain,
( spl4_40
<=> greater(zero,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f174,plain,
( ~ greater(zero,eta)
| ~ has_immunity(sK0,sK1)
| ~ has_endowment(sK0)
| ~ spl4_5
| ~ spl4_22 ),
inference(superposition,[],[f168,f82]) ).
fof(f287,plain,
( spl4_39
| ~ spl4_31
| ~ spl4_34 ),
inference(avatar_split_clause,[],[f251,f248,f225,f285]) ).
fof(f251,plain,
( ! [X0] :
( greater(X0,sigma)
| ~ greater(X0,age(sK0,sK3)) )
| ~ spl4_31
| ~ spl4_34 ),
inference(forward_demodulation,[],[f249,f227]) ).
fof(f279,plain,
( spl4_38
| ~ spl4_9
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f269,f117,f99,f276]) ).
fof(f269,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK3))
| ~ spl4_9
| ~ spl4_13 ),
inference(resolution,[],[f100,f118]) ).
fof(f274,plain,
( ~ spl4_37
| ~ spl4_9
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f268,f125,f99,f271]) ).
fof(f271,plain,
( spl4_37
<=> greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f268,plain,
( ~ greater(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK3))
| ~ spl4_9
| ~ spl4_15 ),
inference(resolution,[],[f100,f126]) ).
fof(f266,plain,
( ~ spl4_1
| ~ spl4_35
| spl4_29
| spl4_9
| ~ spl4_23 ),
inference(avatar_split_clause,[],[f183,f176,f99,f212,f253,f60]) ).
fof(f212,plain,
( spl4_29
<=> has_immunity(sK0,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f183,plain,
( has_immunity(sK0,sK3)
| ~ has_immunity(sK0,sK1)
| ~ organization(sK0)
| spl4_9
| ~ spl4_23 ),
inference(resolution,[],[f177,f101]) ).
fof(f262,plain,
( ~ spl4_30
| ~ spl4_31
| spl4_36 ),
inference(avatar_split_clause,[],[f261,f257,f225,f219]) ).
fof(f261,plain,
( ~ smaller_or_equal(zero,sigma)
| ~ spl4_31
| spl4_36 ),
inference(forward_demodulation,[],[f259,f227]) ).
fof(f259,plain,
( ~ smaller_or_equal(zero,eta)
| spl4_36 ),
inference(avatar_component_clause,[],[f257]) ).
fof(f260,plain,
( ~ spl4_2
| spl4_35
| ~ spl4_36
| ~ spl4_5
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f171,f163,f80,f257,f253,f65]) ).
fof(f171,plain,
( ~ smaller_or_equal(zero,eta)
| has_immunity(sK0,sK1)
| ~ has_endowment(sK0)
| ~ spl4_5
| ~ spl4_21 ),
inference(superposition,[],[f164,f82]) ).
fof(f250,plain,
( spl4_34
| ~ spl4_7
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f160,f145,f90,f248]) ).
fof(f160,plain,
( ! [X0] :
( greater(X0,eta)
| ~ greater(X0,age(sK0,sK3)) )
| ~ spl4_7
| ~ spl4_19 ),
inference(resolution,[],[f146,f92]) ).
fof(f245,plain,
( spl4_33
| ~ spl4_4
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f159,f145,f75,f243]) ).
fof(f159,plain,
( ! [X0] :
( greater(X0,zero)
| ~ greater(X0,sigma) )
| ~ spl4_4
| ~ spl4_19 ),
inference(resolution,[],[f146,f77]) ).
fof(f232,plain,
( spl4_31
| spl4_32
| ~ spl4_3
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f156,f137,f70,f229,f225]) ).
fof(f137,plain,
( spl4_17
<=> ! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f156,plain,
( greater(eta,sigma)
| eta = sigma
| ~ spl4_3
| ~ spl4_17 ),
inference(resolution,[],[f138,f72]) ).
fof(f138,plain,
( ! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 )
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f222,plain,
( spl4_30
| ~ spl4_14
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f192,f152,f121,f219]) ).
fof(f152,plain,
( spl4_20
<=> smaller(zero,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f192,plain,
( smaller_or_equal(zero,sigma)
| ~ spl4_14
| ~ spl4_20 ),
inference(resolution,[],[f154,f122]) ).
fof(f154,plain,
( smaller(zero,sigma)
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f215,plain,
( ~ spl4_2
| ~ spl4_29
| ~ spl4_7
| ~ spl4_22 ),
inference(avatar_split_clause,[],[f172,f167,f90,f212,f65]) ).
fof(f172,plain,
( ~ has_immunity(sK0,sK3)
| ~ has_endowment(sK0)
| ~ spl4_7
| ~ spl4_22 ),
inference(resolution,[],[f168,f92]) ).
fof(f209,plain,
( ~ spl4_2
| spl4_28
| ~ spl4_6
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f170,f163,f85,f206,f65]) ).
fof(f170,plain,
( has_immunity(sK0,sK2)
| ~ has_endowment(sK0)
| ~ spl4_6
| ~ spl4_21 ),
inference(resolution,[],[f164,f87]) ).
fof(f204,plain,
( ~ spl4_27
| ~ spl4_7
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f131,f125,f90,f201]) ).
fof(f131,plain,
( ~ greater(eta,age(sK0,sK3))
| ~ spl4_7
| ~ spl4_15 ),
inference(resolution,[],[f126,f92]) ).
fof(f199,plain,
( spl4_26
| ~ spl4_7
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f129,f117,f90,f196]) ).
fof(f129,plain,
( smaller(eta,age(sK0,sK3))
| ~ spl4_7
| ~ spl4_13 ),
inference(resolution,[],[f118,f92]) ).
fof(f191,plain,
( ~ spl4_25
| ~ spl4_4
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f130,f125,f75,f188]) ).
fof(f188,plain,
( spl4_25
<=> greater(zero,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f130,plain,
( ~ greater(zero,sigma)
| ~ spl4_4
| ~ spl4_15 ),
inference(resolution,[],[f126,f77]) ).
fof(f182,plain,
spl4_24,
inference(avatar_split_clause,[],[f55,f180]) ).
fof(f55,plain,
! [X2,X0,X1] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X4,X3] :
( ( has_immunity(X0,X3)
& has_immunity(X0,X4)
& organization(X0) )
=> hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).
fof(f178,plain,
spl4_23,
inference(avatar_split_clause,[],[f54,f176]) ).
fof(f54,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| ~ has_immunity(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& has_immunity(X0,X1)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X4,X3] :
( ( ~ has_immunity(X0,X3)
& has_immunity(X0,X4)
& organization(X0) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_3) ).
fof(f169,plain,
spl4_22,
inference(avatar_split_clause,[],[f45,f167]) ).
fof(f45,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ! [X1] :
( ( ~ has_immunity(X0,X1)
| ~ greater(age(X0,X1),eta) )
& ( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta) )
& organization(X0) )
| ~ has_endowment(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f13,plain,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) )
& ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( has_endowment(X0)
<=> ! [X3] :
( ( greater(age(X0,X3),eta)
=> ~ has_immunity(X0,X3) )
& ( smaller_or_equal(age(X0,X3),eta)
=> has_immunity(X0,X3) )
& organization(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_1) ).
fof(f165,plain,
spl4_21,
inference(avatar_split_clause,[],[f44,f163]) ).
fof(f44,plain,
! [X0,X1] :
( has_immunity(X0,X1)
| ~ smaller_or_equal(age(X0,X1),eta)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f155,plain,
( spl4_20
| ~ spl4_4
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f128,f117,f75,f152]) ).
fof(f128,plain,
( smaller(zero,sigma)
| ~ spl4_4
| ~ spl4_13 ),
inference(resolution,[],[f118,f77]) ).
fof(f147,plain,
spl4_19,
inference(avatar_split_clause,[],[f56,f145]) ).
fof(f56,plain,
! [X2,X0,X1] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f143,plain,
spl4_18,
inference(avatar_split_clause,[],[f50,f141]) ).
fof(f50,plain,
! [X0,X1] :
( X0 = X1
| smaller(X0,X1)
| ~ smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,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,[],[f33]) ).
fof(f33,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',definition_smaller_or_equal) ).
fof(f139,plain,
spl4_17,
inference(avatar_split_clause,[],[f47,f137]) ).
fof(f47,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
=> ( X0 = X1
| greater(X0,X1) ) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f135,plain,
spl4_16,
inference(avatar_split_clause,[],[f46,f133]) ).
fof(f46,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| smaller(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_comparable) ).
fof(f127,plain,
spl4_15,
inference(avatar_split_clause,[],[f53,f125]) ).
fof(f53,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
~ ( greater(X1,X0)
& greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meaning_postulate_greater_strict) ).
fof(f123,plain,
spl4_14,
inference(avatar_split_clause,[],[f51,f121]) ).
fof(f51,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f119,plain,
spl4_13,
inference(avatar_split_clause,[],[f49,f117]) ).
fof(f49,plain,
! [X0,X1] :
( smaller(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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',definition_smaller) ).
fof(f115,plain,
spl4_12,
inference(avatar_split_clause,[],[f48,f113]) ).
fof(f48,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f110,plain,
spl4_11,
inference(avatar_split_clause,[],[f43,f108]) ).
fof(f108,plain,
( spl4_11
<=> ! [X0] :
( organization(X0)
| ~ has_endowment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f43,plain,
! [X0] :
( organization(X0)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f106,plain,
( ~ spl4_9
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f58,f103,f99]) ).
fof(f58,plain,
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK1)) ),
inference(inner_rewriting,[],[f42]) ).
fof(f42,plain,
( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(sK0,sK3),eta)
& smaller_or_equal(age(sK0,sK2),eta)
& zero = age(sK0,sK1)
& has_endowment(sK0)
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f19,f30]) ).
fof(f30,plain,
( ? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) )
=> ( ( hazard_of_mortality(sK0,sK1) != hazard_of_mortality(sK0,sK2)
| ~ greater(hazard_of_mortality(sK0,sK3),hazard_of_mortality(sK0,sK2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(sK0,sK3),eta)
& smaller_or_equal(age(sK0,sK2),eta)
& zero = age(sK0,sK1)
& has_endowment(sK0)
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X0,X1) != hazard_of_mortality(X0,X2)
| ~ greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) )
& greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X0,X1,X2,X3] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X3),eta)
& smaller_or_equal(age(X0,X2),eta)
& zero = age(X0,X1)
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
& greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X2)) ) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X0,X4,X5,X6] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X6),eta)
& smaller_or_equal(age(X0,X5),eta)
& age(X0,X4) = zero
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5)
& greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X0,X4,X5,X6] :
( ( greater(sigma,zero)
& greater_or_equal(eta,sigma)
& greater(age(X0,X6),eta)
& smaller_or_equal(age(X0,X5),eta)
& age(X0,X4) = zero
& has_endowment(X0)
& organization(X0) )
=> ( hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5)
& greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_9) ).
fof(f97,plain,
spl4_8,
inference(avatar_split_clause,[],[f57,f95]) ).
fof(f95,plain,
( spl4_8
<=> ! [X1] : smaller_or_equal(X1,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f57,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f34]) ).
fof(f93,plain,
spl4_7,
inference(avatar_split_clause,[],[f39,f90]) ).
fof(f39,plain,
greater(age(sK0,sK3),eta),
inference(cnf_transformation,[],[f31]) ).
fof(f88,plain,
spl4_6,
inference(avatar_split_clause,[],[f38,f85]) ).
fof(f38,plain,
smaller_or_equal(age(sK0,sK2),eta),
inference(cnf_transformation,[],[f31]) ).
fof(f83,plain,
spl4_5,
inference(avatar_split_clause,[],[f37,f80]) ).
fof(f37,plain,
zero = age(sK0,sK1),
inference(cnf_transformation,[],[f31]) ).
fof(f78,plain,
spl4_4,
inference(avatar_split_clause,[],[f41,f75]) ).
fof(f41,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f31]) ).
fof(f73,plain,
spl4_3,
inference(avatar_split_clause,[],[f40,f70]) ).
fof(f40,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f31]) ).
fof(f68,plain,
spl4_2,
inference(avatar_split_clause,[],[f36,f65]) ).
fof(f36,plain,
has_endowment(sK0),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
spl4_1,
inference(avatar_split_clause,[],[f35,f60]) ).
fof(f35,plain,
organization(sK0),
inference(cnf_transformation,[],[f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT056+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 03:54:26 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (930)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (934)WARNING: value z3 for option sas not known
% 0.14/0.37 % (938)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (935)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (936)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (933)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (937)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (932)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (934)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [4]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [5]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [6]
% 0.14/0.39 TRYING [7]
% 0.14/0.40 TRYING [8]
% 0.14/0.40 % (936)First to succeed.
% 0.14/0.41 TRYING [9]
% 0.14/0.41 % (936)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (936)------------------------------
% 0.14/0.41 % (936)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.41 % (936)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (936)Memory used [KB]: 1201
% 0.14/0.41 % (936)Time elapsed: 0.035 s
% 0.14/0.41 % (936)Instructions burned: 50 (million)
% 0.14/0.41 % (936)------------------------------
% 0.14/0.41 % (936)------------------------------
% 0.14/0.41 % (930)Success in time 0.051 s
%------------------------------------------------------------------------------