TSTP Solution File: MGT056+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n029.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 : Wed Aug 31 17:51:13 EDT 2022
% Result : Theorem 1.38s 0.54s
% Output : Refutation 1.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 23
% Syntax : Number of formulae : 118 ( 13 unt; 0 def)
% Number of atoms : 374 ( 49 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 388 ( 132 ~; 128 |; 88 &)
% ( 22 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 15 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 135 ( 119 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f660,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f183,f221,f229,f231,f244,f264,f303,f354,f398,f494,f522,f623,f652,f659]) ).
fof(f659,plain,
( spl4_9
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f656,f618,f138]) ).
fof(f138,plain,
( spl4_9
<=> smaller(zero,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f618,plain,
( spl4_41
<=> greater(eta,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f656,plain,
( smaller(zero,eta)
| ~ spl4_41 ),
inference(resolution,[],[f620,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( greater(X0,X1)
| ~ smaller(X1,X0) )
& ( smaller(X1,X0)
| ~ greater(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( greater(X0,X1)
<=> smaller(X1,X0) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( smaller(X0,X1)
<=> greater(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller) ).
fof(f620,plain,
( greater(eta,zero)
| ~ spl4_41 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f652,plain,
( spl4_41
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f651,f96,f618]) ).
fof(f96,plain,
( spl4_4
<=> greater(eta,sigma) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f651,plain,
( greater(eta,zero)
| ~ spl4_4 ),
inference(resolution,[],[f437,f98]) ).
fof(f98,plain,
( greater(eta,sigma)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f437,plain,
! [X0] :
( ~ greater(X0,sigma)
| greater(X0,zero) ),
inference(resolution,[],[f58,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ greater(X2,X0)
| ~ greater(X1,X2)
| greater(X1,X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( greater(X1,X0)
| ~ greater(X1,X2)
| ~ greater(X2,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,plain,
! [X1,X2,X0] :
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(X2,X1)
| ~ greater(X2,X0)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( greater(X2,X0)
& greater(X0,X1) )
=> greater(X2,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2,X0] :
( ( greater(X0,X1)
& greater(X1,X2) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meaning_postulate_greater_transitive) ).
fof(f58,plain,
greater(sigma,zero),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,sK2)
| ~ greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK0)) )
& zero = age(sK1,sK2)
& greater(sigma,zero)
& greater(age(sK1,sK3),eta)
& organization(sK1)
& smaller_or_equal(age(sK1,sK0),eta)
& greater_or_equal(eta,sigma)
& has_endowment(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f40,f41]) ).
fof(f41,plain,
( ? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X1,X0) != hazard_of_mortality(X1,X2)
| ~ greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X0)) )
& zero = age(X1,X2)
& greater(sigma,zero)
& greater(age(X1,X3),eta)
& organization(X1)
& smaller_or_equal(age(X1,X0),eta)
& greater_or_equal(eta,sigma)
& has_endowment(X1) )
=> ( ( hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,sK2)
| ~ greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK0)) )
& zero = age(sK1,sK2)
& greater(sigma,zero)
& greater(age(sK1,sK3),eta)
& organization(sK1)
& smaller_or_equal(age(sK1,sK0),eta)
& greater_or_equal(eta,sigma)
& has_endowment(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
? [X0,X1,X2,X3] :
( ( hazard_of_mortality(X1,X0) != hazard_of_mortality(X1,X2)
| ~ greater(hazard_of_mortality(X1,X3),hazard_of_mortality(X1,X0)) )
& zero = age(X1,X2)
& greater(sigma,zero)
& greater(age(X1,X3),eta)
& organization(X1)
& smaller_or_equal(age(X1,X0),eta)
& greater_or_equal(eta,sigma)
& has_endowment(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X3,X1,X2,X0] :
( ( hazard_of_mortality(X1,X3) != hazard_of_mortality(X1,X2)
| ~ greater(hazard_of_mortality(X1,X0),hazard_of_mortality(X1,X3)) )
& zero = age(X1,X2)
& greater(sigma,zero)
& greater(age(X1,X0),eta)
& organization(X1)
& smaller_or_equal(age(X1,X3),eta)
& greater_or_equal(eta,sigma)
& has_endowment(X1) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X2,X3,X1] :
( ( hazard_of_mortality(X1,X3) != hazard_of_mortality(X1,X2)
| ~ greater(hazard_of_mortality(X1,X0),hazard_of_mortality(X1,X3)) )
& greater(age(X1,X0),eta)
& smaller_or_equal(age(X1,X3),eta)
& organization(X1)
& zero = age(X1,X2)
& greater(sigma,zero)
& has_endowment(X1)
& greater_or_equal(eta,sigma) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ! [X0,X2,X3,X1] :
( ( greater(age(X1,X0),eta)
& smaller_or_equal(age(X1,X3),eta)
& organization(X1)
& zero = age(X1,X2)
& greater(sigma,zero)
& has_endowment(X1)
& greater_or_equal(eta,sigma) )
=> ( greater(hazard_of_mortality(X1,X0),hazard_of_mortality(X1,X3))
& hazard_of_mortality(X1,X3) = hazard_of_mortality(X1,X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,negated_conjecture,
~ ! [X6,X0,X4,X5] :
( ( age(X0,X4) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X5),eta)
& organization(X0)
& greater_or_equal(eta,sigma)
& greater(age(X0,X6),eta)
& has_endowment(X0) )
=> ( greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5) ) ),
inference(negated_conjecture,[],[f10]) ).
fof(f10,conjecture,
! [X6,X0,X4,X5] :
( ( age(X0,X4) = zero
& greater(sigma,zero)
& smaller_or_equal(age(X0,X5),eta)
& organization(X0)
& greater_or_equal(eta,sigma)
& greater(age(X0,X6),eta)
& has_endowment(X0) )
=> ( greater(hazard_of_mortality(X0,X6),hazard_of_mortality(X0,X5))
& hazard_of_mortality(X0,X4) = hazard_of_mortality(X0,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_9) ).
fof(f623,plain,
( spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f622,f96,f92]) ).
fof(f92,plain,
( spl4_3
<=> eta = sigma ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f622,plain,
( greater(eta,sigma)
| eta = sigma ),
inference(resolution,[],[f54,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ greater_or_equal(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( greater(X1,X0)
| ~ greater_or_equal(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( greater(X1,X0)
| X0 = X1
| ~ greater_or_equal(X1,X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( greater_or_equal(X1,X0)
=> ( greater(X1,X0)
| X0 = X1 ) ),
inference(unused_predicate_definition_removal,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( greater_or_equal(X1,X0)
<=> ( greater(X1,X0)
| X0 = X1 ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_greater_or_equal) ).
fof(f54,plain,
greater_or_equal(eta,sigma),
inference(cnf_transformation,[],[f42]) ).
fof(f522,plain,
( spl4_14
| ~ spl4_15
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f520,f159,f175,f168]) ).
fof(f168,plain,
( spl4_14
<=> has_immunity(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f175,plain,
( spl4_15
<=> smaller_or_equal(zero,eta) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f159,plain,
( spl4_12
<=> has_endowment(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f520,plain,
( ~ has_endowment(sK1)
| ~ smaller_or_equal(zero,eta)
| has_immunity(sK1,sK2) ),
inference(superposition,[],[f63,f59]) ).
fof(f59,plain,
zero = age(sK1,sK2),
inference(cnf_transformation,[],[f42]) ).
fof(f63,plain,
! [X0,X1] :
( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ~ has_endowment(X0)
| ! [X1] :
( ( ~ smaller_or_equal(age(X0,X1),eta)
| has_immunity(X0,X1) )
& ( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1) )
& organization(X0) ) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] :
( has_endowment(X0)
=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0)
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f17,plain,
! [X0] :
( has_endowment(X0)
<=> ! [X1] :
( ( smaller_or_equal(age(X0,X1),eta)
=> has_immunity(X0,X1) )
& organization(X0)
& ( greater(age(X0,X1),eta)
=> ~ has_immunity(X0,X1) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ! [X3] :
( ( smaller_or_equal(age(X0,X3),eta)
=> has_immunity(X0,X3) )
& ( greater(age(X0,X3),eta)
=> ~ has_immunity(X0,X3) )
& organization(X0) )
<=> has_endowment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_1) ).
fof(f494,plain,
( ~ spl4_16
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f485,f218,f180]) ).
fof(f180,plain,
( spl4_16
<=> has_immunity(sK1,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f218,plain,
( spl4_19
<=> ! [X2] :
( ~ has_immunity(sK1,X2)
| hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f485,plain,
( ~ has_immunity(sK1,sK0)
| ~ spl4_19 ),
inference(equality_resolution,[],[f219]) ).
fof(f219,plain,
( ! [X2] :
( hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,X2)
| ~ has_immunity(sK1,X2) )
| ~ spl4_19 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f398,plain,
( ~ spl4_11
| ~ spl4_12
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f393,f247,f159,f155]) ).
fof(f155,plain,
( spl4_11
<=> has_immunity(sK1,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f247,plain,
( spl4_21
<=> smaller(eta,age(sK1,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f393,plain,
( ~ has_endowment(sK1)
| ~ has_immunity(sK1,sK3)
| ~ spl4_21 ),
inference(resolution,[],[f359,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ~ greater(age(X0,X1),eta)
| ~ has_immunity(X0,X1)
| ~ has_endowment(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f359,plain,
( greater(age(sK1,sK3),eta)
| ~ spl4_21 ),
inference(resolution,[],[f249,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ smaller(X1,X0)
| greater(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f249,plain,
( smaller(eta,age(sK1,sK3))
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f354,plain,
spl4_21,
inference(avatar_split_clause,[],[f353,f247]) ).
fof(f353,plain,
smaller(eta,age(sK1,sK3)),
inference(resolution,[],[f83,f50]) ).
fof(f83,plain,
greater(age(sK1,sK3),eta),
inference(resolution,[],[f51,f81]) ).
fof(f81,plain,
smaller(eta,age(sK1,sK3)),
inference(resolution,[],[f50,f57]) ).
fof(f57,plain,
greater(age(sK1,sK3),eta),
inference(cnf_transformation,[],[f42]) ).
fof(f303,plain,
( ~ spl4_16
| spl4_11
| ~ spl4_18
| spl4_1 ),
inference(avatar_split_clause,[],[f293,f71,f213,f155,f180]) ).
fof(f213,plain,
( spl4_18
<=> organization(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f71,plain,
( spl4_1
<=> greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f293,plain,
( ~ organization(sK1)
| has_immunity(sK1,sK3)
| ~ has_immunity(sK1,sK0)
| spl4_1 ),
inference(resolution,[],[f73,f49]) ).
fof(f49,plain,
! [X2,X0,X1] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_immunity(X0,X2) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ has_immunity(X0,X1)
| ~ organization(X0)
| has_immunity(X0,X2) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X1,X0,X2] :
( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
| ~ has_immunity(X1,X0)
| ~ organization(X1)
| has_immunity(X1,X2) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X1,X2,X0] :
( greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0))
| ~ has_immunity(X1,X0)
| has_immunity(X1,X2)
| ~ organization(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
! [X1,X2,X0] :
( ( has_immunity(X1,X0)
& ~ has_immunity(X1,X2)
& organization(X1) )
=> greater(hazard_of_mortality(X1,X2),hazard_of_mortality(X1,X0)) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X4,X0,X3] :
( ( organization(X0)
& ~ has_immunity(X0,X3)
& has_immunity(X0,X4) )
=> greater(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_3) ).
fof(f73,plain,
( ~ greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK0))
| spl4_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f264,plain,
( spl4_15
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f262,f138,f175]) ).
fof(f262,plain,
( smaller_or_equal(zero,eta)
| ~ spl4_9 ),
inference(resolution,[],[f140,f66]) ).
fof(f66,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ( smaller(X0,X1)
| X0 = X1
| ~ smaller_or_equal(X0,X1) )
& ( smaller_or_equal(X0,X1)
| ( ~ smaller(X0,X1)
& X0 != X1 ) ) ),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( smaller(X1,X0)
| X0 = X1
| ~ smaller_or_equal(X1,X0) )
& ( smaller_or_equal(X1,X0)
| ( ~ smaller(X1,X0)
& X0 != X1 ) ) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X1,X0] :
( ( smaller(X1,X0)
| X0 = X1
| ~ smaller_or_equal(X1,X0) )
& ( smaller_or_equal(X1,X0)
| ( ~ smaller(X1,X0)
& X0 != X1 ) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X1,X0] :
( ( smaller(X1,X0)
| X0 = X1 )
<=> smaller_or_equal(X1,X0) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( smaller(X0,X1)
| X0 = X1 )
<=> smaller_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_smaller_or_equal) ).
fof(f140,plain,
( smaller(zero,eta)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f244,plain,
( spl4_15
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f121,f92,f175]) ).
fof(f121,plain,
( smaller_or_equal(zero,eta)
| ~ spl4_3 ),
inference(resolution,[],[f102,f66]) ).
fof(f102,plain,
( smaller(zero,eta)
| ~ spl4_3 ),
inference(backward_demodulation,[],[f80,f94]) ).
fof(f94,plain,
( eta = sigma
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f80,plain,
smaller(zero,sigma),
inference(resolution,[],[f50,f58]) ).
fof(f231,plain,
( spl4_18
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f230,f159,f213]) ).
fof(f230,plain,
( organization(sK1)
| ~ spl4_12 ),
inference(resolution,[],[f160,f61]) ).
fof(f61,plain,
! [X0] :
( ~ has_endowment(X0)
| organization(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f160,plain,
( has_endowment(sK1)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f229,plain,
spl4_12,
inference(avatar_contradiction_clause,[],[f228]) ).
fof(f228,plain,
( $false
| spl4_12 ),
inference(resolution,[],[f161,f53]) ).
fof(f53,plain,
has_endowment(sK1),
inference(cnf_transformation,[],[f42]) ).
fof(f161,plain,
( ~ has_endowment(sK1)
| spl4_12 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f221,plain,
( ~ spl4_18
| spl4_19
| ~ spl4_14
| spl4_2 ),
inference(avatar_split_clause,[],[f193,f75,f168,f218,f213]) ).
fof(f75,plain,
( spl4_2
<=> hazard_of_mortality(sK1,sK0) = hazard_of_mortality(sK1,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f193,plain,
( ! [X2] :
( ~ has_immunity(sK1,sK2)
| hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,X2)
| ~ has_immunity(sK1,X2)
| ~ organization(sK1) )
| spl4_2 ),
inference(superposition,[],[f77,f64]) ).
fof(f64,plain,
! [X2,X0,X1] :
( hazard_of_mortality(X2,X1) = hazard_of_mortality(X2,X0)
| ~ has_immunity(X2,X1)
| ~ organization(X2)
| ~ has_immunity(X2,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ has_immunity(X2,X1)
| ~ organization(X2)
| hazard_of_mortality(X2,X1) = hazard_of_mortality(X2,X0)
| ~ has_immunity(X2,X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X1,X2,X0] :
( ~ has_immunity(X0,X2)
| ~ organization(X0)
| hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X2,X1,X0] :
( hazard_of_mortality(X0,X1) = hazard_of_mortality(X0,X2)
| ~ has_immunity(X0,X2)
| ~ organization(X0)
| ~ has_immunity(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X1,X0] :
( ( has_immunity(X0,X2)
& organization(X0)
& has_immunity(X0,X1) )
=> 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/sandbox/benchmark/theBenchmark.p',assumption_2) ).
fof(f77,plain,
( hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,sK2)
| spl4_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f183,plain,
( ~ spl4_12
| spl4_16 ),
inference(avatar_split_clause,[],[f172,f180,f159]) ).
fof(f172,plain,
( has_immunity(sK1,sK0)
| ~ has_endowment(sK1) ),
inference(resolution,[],[f63,f55]) ).
fof(f55,plain,
smaller_or_equal(age(sK1,sK0),eta),
inference(cnf_transformation,[],[f42]) ).
fof(f78,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f60,f75,f71]) ).
fof(f60,plain,
( hazard_of_mortality(sK1,sK0) != hazard_of_mortality(sK1,sK2)
| ~ greater(hazard_of_mortality(sK1,sK3),hazard_of_mortality(sK1,sK0)) ),
inference(cnf_transformation,[],[f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT056+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n029.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 Aug 30 03:32:27 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (24852)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (24850)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (24850)Instruction limit reached!
% 0.20/0.51 % (24850)------------------------------
% 0.20/0.51 % (24850)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (24849)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51 % (24850)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (24850)Termination reason: Unknown
% 0.20/0.51 % (24850)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (24850)Memory used [KB]: 5884
% 0.20/0.51 % (24850)Time elapsed: 0.112 s
% 0.20/0.51 % (24850)Instructions burned: 3 (million)
% 0.20/0.51 % (24850)------------------------------
% 0.20/0.51 % (24850)------------------------------
% 0.20/0.51 % (24854)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.52 % (24858)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.52 % (24866)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (24866)Instruction limit reached!
% 0.20/0.52 % (24866)------------------------------
% 0.20/0.52 % (24866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24866)Termination reason: Unknown
% 0.20/0.52 % (24866)Termination phase: Preprocessing 3
% 0.20/0.52
% 0.20/0.52 % (24866)Memory used [KB]: 1407
% 0.20/0.52 % (24866)Time elapsed: 0.004 s
% 0.20/0.52 % (24866)Instructions burned: 2 (million)
% 0.20/0.52 % (24866)------------------------------
% 0.20/0.52 % (24866)------------------------------
% 0.20/0.52 % (24870)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (24875)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.52 % (24867)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.52 % (24870)First to succeed.
% 0.20/0.52 % (24858)Instruction limit reached!
% 0.20/0.52 % (24858)------------------------------
% 0.20/0.52 % (24858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (24858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (24858)Termination reason: Unknown
% 0.20/0.52 % (24858)Termination phase: Saturation
% 0.20/0.52
% 0.20/0.52 % (24858)Memory used [KB]: 6140
% 0.20/0.52 % (24858)Time elapsed: 0.133 s
% 0.20/0.52 % (24858)Instructions burned: 12 (million)
% 0.20/0.52 % (24858)------------------------------
% 0.20/0.52 % (24858)------------------------------
% 0.20/0.53 % (24855)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (24860)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53 % (24874)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53 % (24857)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.38/0.53 % (24862)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.53 % (24852)Instruction limit reached!
% 1.38/0.53 % (24852)------------------------------
% 1.38/0.53 % (24852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (24852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (24852)Termination reason: Unknown
% 1.38/0.53 % (24852)Termination phase: Saturation
% 1.38/0.53
% 1.38/0.53 % (24852)Memory used [KB]: 6140
% 1.38/0.53 % (24852)Time elapsed: 0.120 s
% 1.38/0.53 % (24852)Instructions burned: 14 (million)
% 1.38/0.53 % (24852)------------------------------
% 1.38/0.53 % (24852)------------------------------
% 1.38/0.53 % (24862)Instruction limit reached!
% 1.38/0.53 % (24862)------------------------------
% 1.38/0.53 % (24862)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.53 % (24862)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.53 % (24862)Termination reason: Unknown
% 1.38/0.53 % (24862)Termination phase: Saturation
% 1.38/0.53
% 1.38/0.53 % (24862)Memory used [KB]: 5884
% 1.38/0.53 % (24862)Time elapsed: 0.085 s
% 1.38/0.53 % (24862)Instructions burned: 3 (million)
% 1.38/0.53 % (24862)------------------------------
% 1.38/0.53 % (24862)------------------------------
% 1.38/0.53 % (24863)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.54 % (24851)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.54 % (24853)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.38/0.54 % (24865)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.38/0.54 % (24876)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.38/0.54 TRYING [1]
% 1.38/0.54 % (24865)Instruction limit reached!
% 1.38/0.54 % (24865)------------------------------
% 1.38/0.54 % (24865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (24865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (24865)Termination reason: Unknown
% 1.38/0.54 % (24865)Termination phase: Finite model building constraint generation
% 1.38/0.54
% 1.38/0.54 % (24865)Memory used [KB]: 5884
% 1.38/0.54 % (24865)Time elapsed: 0.139 s
% 1.38/0.54 % (24865)Instructions burned: 4 (million)
% 1.38/0.54 % (24865)------------------------------
% 1.38/0.54 % (24865)------------------------------
% 1.38/0.54 % (24863)Instruction limit reached!
% 1.38/0.54 % (24863)------------------------------
% 1.38/0.54 % (24863)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (24877)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.38/0.54 % (24870)Refutation found. Thanks to Tanya!
% 1.38/0.54 % SZS status Theorem for theBenchmark
% 1.38/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.38/0.54 % (24870)------------------------------
% 1.38/0.54 % (24870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (24870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.38/0.54 % (24870)Termination reason: Refutation
% 1.38/0.54
% 1.38/0.54 % (24870)Memory used [KB]: 6268
% 1.38/0.54 % (24870)Time elapsed: 0.080 s
% 1.38/0.54 % (24870)Instructions burned: 12 (million)
% 1.38/0.54 % (24870)------------------------------
% 1.38/0.54 % (24870)------------------------------
% 1.38/0.54 % (24847)Success in time 0.179 s
%------------------------------------------------------------------------------