TSTP Solution File: MGT046+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT046+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 : n023.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 : Sun May 5 07:58:06 EDT 2024
% Result : Theorem 0.17s 0.37s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 20
% Syntax : Number of formulae : 119 ( 14 unt; 0 def)
% Number of atoms : 388 ( 47 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 420 ( 151 ~; 158 |; 65 &)
% ( 10 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 8 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 151 ( 142 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f685,plain,
$false,
inference(avatar_sat_refutation,[],[f508,f605,f619,f635,f667,f669,f671,f677,f684]) ).
fof(f684,plain,
~ spl3_1,
inference(avatar_contradiction_clause,[],[f683]) ).
fof(f683,plain,
( $false
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f682,f48]) ).
fof(f48,plain,
organization(sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
& greater(age(sK0,sK2),age(sK0,sK1))
& ~ has_endowment(sK0)
& organization(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f45]) ).
fof(f45,plain,
( ? [X0,X1,X2] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0) )
=> ( ~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
& greater(age(sK0,sK2),age(sK0,sK1))
& ~ has_endowment(sK0)
& organization(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X1,X2] :
( ~ smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
& greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
~ ! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& ~ has_endowment(X0)
& organization(X0) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
inference(rectify,[],[f15]) ).
fof(f15,negated_conjecture,
~ ! [X0,X4,X3] :
( ( greater(age(X0,X3),age(X0,X4))
& ~ has_endowment(X0)
& organization(X0) )
=> smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
inference(negated_conjecture,[],[f14]) ).
fof(f14,conjecture,
! [X0,X4,X3] :
( ( greater(age(X0,X3),age(X0,X4))
& ~ has_endowment(X0)
& organization(X0) )
=> smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_1) ).
fof(f682,plain,
( ~ organization(sK0)
| ~ spl3_1 ),
inference(subsumption_resolution,[],[f681,f49]) ).
fof(f49,plain,
~ has_endowment(sK0),
inference(cnf_transformation,[],[f46]) ).
fof(f681,plain,
( has_endowment(sK0)
| ~ organization(sK0)
| ~ spl3_1 ),
inference(resolution,[],[f499,f53]) ).
fof(f53,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ has_immunity(X0,X1)
| has_endowment(X0)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X0,X3] :
( ( ~ has_endowment(X0)
& organization(X0) )
=> ~ has_immunity(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).
fof(f499,plain,
( has_immunity(sK0,sK1)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl3_1
<=> has_immunity(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f677,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f676]) ).
fof(f676,plain,
( $false
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f675,f48]) ).
fof(f675,plain,
( ~ organization(sK0)
| ~ spl3_2 ),
inference(subsumption_resolution,[],[f674,f49]) ).
fof(f674,plain,
( has_endowment(sK0)
| ~ organization(sK0)
| ~ spl3_2 ),
inference(resolution,[],[f503,f53]) ).
fof(f503,plain,
( has_immunity(sK0,sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl3_2
<=> has_immunity(sK0,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f671,plain,
( spl3_3
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| spl3_3
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f656,f510]) ).
fof(f510,plain,
( ~ smaller(capability(sK0,sK1),capability(sK0,sK2))
| spl3_3 ),
inference(resolution,[],[f507,f77]) ).
fof(f77,plain,
! [X0,X1] :
( greater_or_equal(X1,X0)
| ~ smaller(X0,X1) ),
inference(resolution,[],[f58,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( X0 = X1
| greater(X0,X1) )
=> greater_or_equal(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(f58,plain,
! [X0,X1] :
( greater(X1,X0)
| ~ smaller(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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(f507,plain,
( ~ greater_or_equal(capability(sK0,sK2),capability(sK0,sK1))
| spl3_3 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl3_3
<=> greater_or_equal(capability(sK0,sK2),capability(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f656,plain,
( smaller(capability(sK0,sK1),capability(sK0,sK2))
| ~ spl3_6 ),
inference(resolution,[],[f614,f59]) ).
fof(f59,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| smaller(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f614,plain,
( greater(capability(sK0,sK2),capability(sK0,sK1))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f612,plain,
( spl3_6
<=> greater(capability(sK0,sK2),capability(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f669,plain,
( spl3_3
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f668]) ).
fof(f668,plain,
( $false
| spl3_3
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f655,f507]) ).
fof(f655,plain,
( greater_or_equal(capability(sK0,sK2),capability(sK0,sK1))
| ~ spl3_6 ),
inference(resolution,[],[f614,f56]) ).
fof(f667,plain,
( spl3_1
| spl3_2
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f666]) ).
fof(f666,plain,
( $false
| spl3_1
| spl3_2
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f665,f48]) ).
fof(f665,plain,
( ~ organization(sK0)
| spl3_1
| spl3_2
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f664,f498]) ).
fof(f498,plain,
( ~ has_immunity(sK0,sK1)
| spl3_1 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f664,plain,
( has_immunity(sK0,sK1)
| ~ organization(sK0)
| spl3_2
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f663,f502]) ).
fof(f502,plain,
( ~ has_immunity(sK0,sK2)
| spl3_2 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f663,plain,
( has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f662,f51]) ).
fof(f51,plain,
~ smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
inference(cnf_transformation,[],[f46]) ).
fof(f662,plain,
( smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| ~ spl3_6 ),
inference(subsumption_resolution,[],[f654,f207]) ).
fof(f207,plain,
greater_or_equal(position(sK0,sK2),position(sK0,sK1)),
inference(resolution,[],[f190,f56]) ).
fof(f190,plain,
greater(position(sK0,sK2),position(sK0,sK1)),
inference(subsumption_resolution,[],[f183,f48]) ).
fof(f183,plain,
( greater(position(sK0,sK2),position(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f180,f62]) ).
fof(f62,plain,
! [X2,X0,X1] :
( ~ greater(external_ties(X0,X2),external_ties(X0,X1))
| greater(position(X0,X2),position(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( ( ( position(X0,X2) = position(X0,X1)
| external_ties(X0,X2) != external_ties(X0,X1) )
& ( greater(position(X0,X2),position(X0,X1))
| ~ greater(external_ties(X0,X2),external_ties(X0,X1)) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( organization(X0)
=> ( ( external_ties(X0,X2) = external_ties(X0,X1)
=> position(X0,X2) = position(X0,X1) )
& ( greater(external_ties(X0,X2),external_ties(X0,X1))
=> greater(position(X0,X2),position(X0,X1)) ) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X4,X3] :
( organization(X0)
=> ( ( external_ties(X0,X3) = external_ties(X0,X4)
=> position(X0,X3) = position(X0,X4) )
& ( greater(external_ties(X0,X3),external_ties(X0,X4))
=> greater(position(X0,X3),position(X0,X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).
fof(f180,plain,
greater(external_ties(sK0,sK2),external_ties(sK0,sK1)),
inference(subsumption_resolution,[],[f175,f48]) ).
fof(f175,plain,
( greater(external_ties(sK0,sK2),external_ties(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f70,f50]) ).
fof(f50,plain,
greater(age(sK0,sK2),age(sK0,sK1)),
inference(cnf_transformation,[],[f46]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( greater(external_ties(X0,X2),external_ties(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(external_ties(X0,X2),external_ties(X0,X1)) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X0,X4,X3] :
( ( greater(age(X0,X3),age(X0,X4))
& organization(X0) )
=> greater(external_ties(X0,X3),external_ties(X0,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_8) ).
fof(f654,plain,
( ~ greater_or_equal(position(sK0,sK2),position(sK0,sK1))
| smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ organization(sK0)
| ~ spl3_6 ),
inference(resolution,[],[f614,f67]) ).
fof(f67,plain,
! [X2,X0,X1] :
( ~ greater(capability(X0,X2),capability(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1)) ) )
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(flattening,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
| position(X0,X2) != position(X0,X1)
| capability(X0,X2) != capability(X0,X1) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater(position(X0,X2),position(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1)) )
& ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(position(X0,X2),position(X0,X1))
| ~ greater(capability(X0,X2),capability(X0,X1)) ) )
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( ~ has_immunity(X0,X2)
& ~ has_immunity(X0,X1)
& organization(X0) )
=> ( ( ( position(X0,X2) = position(X0,X1)
& capability(X0,X2) = capability(X0,X1) )
=> hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) )
& ( ( greater(position(X0,X2),position(X0,X1))
& greater_or_equal(capability(X0,X2),capability(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
& ( ( greater_or_equal(position(X0,X2),position(X0,X1))
& greater(capability(X0,X2),capability(X0,X1)) )
=> smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X4,X3] :
( ( ~ has_immunity(X0,X3)
& ~ has_immunity(X0,X4)
& organization(X0) )
=> ( ( ( position(X0,X3) = position(X0,X4)
& capability(X0,X3) = capability(X0,X4) )
=> hazard_of_mortality(X0,X3) = hazard_of_mortality(X0,X4) )
& ( ( greater(position(X0,X3),position(X0,X4))
& greater_or_equal(capability(X0,X3),capability(X0,X4)) )
=> smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) )
& ( ( greater_or_equal(position(X0,X3),position(X0,X4))
& greater(capability(X0,X3),capability(X0,X4)) )
=> smaller(hazard_of_mortality(X0,X3),hazard_of_mortality(X0,X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4) ).
fof(f635,plain,
spl3_7,
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f628,plain,
( $false
| spl3_7 ),
inference(resolution,[],[f624,f73]) ).
fof(f73,plain,
! [X1] : smaller_or_equal(X1,X1),
inference(equality_resolution,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( smaller_or_equal(X0,X1)
| ( X0 != X1
& ~ smaller(X0,X1) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( X0 = X1
| smaller(X0,X1) )
=> smaller_or_equal(X0,X1) ),
inference(unused_predicate_definition_removal,[],[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(f624,plain,
( ! [X0] : ~ smaller_or_equal(internal_friction(sK0,X0),internal_friction(sK0,sK1))
| spl3_7 ),
inference(superposition,[],[f618,f92]) ).
fof(f92,plain,
! [X0,X1] : internal_friction(sK0,X0) = internal_friction(sK0,X1),
inference(resolution,[],[f61,f48]) ).
fof(f61,plain,
! [X2,X0,X1] :
( ~ organization(X0)
| internal_friction(X0,X2) = internal_friction(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( internal_friction(X0,X2) = internal_friction(X0,X1)
| ~ organization(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( organization(X0)
=> internal_friction(X0,X2) = internal_friction(X0,X1) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X0,X4,X3] :
( organization(X0)
=> internal_friction(X0,X3) = internal_friction(X0,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_9) ).
fof(f618,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| spl3_7 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f616,plain,
( spl3_7
<=> smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f619,plain,
( spl3_6
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f287,f616,f612]) ).
fof(f287,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| greater(capability(sK0,sK2),capability(sK0,sK1)) ),
inference(subsumption_resolution,[],[f283,f48]) ).
fof(f283,plain,
( ~ smaller_or_equal(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
| greater(capability(sK0,sK2),capability(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f64,f218]) ).
fof(f218,plain,
greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1)),
inference(subsumption_resolution,[],[f213,f48]) ).
fof(f213,plain,
( greater(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
| ~ organization(sK0) ),
inference(resolution,[],[f71,f50]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ greater(age(X0,X2),age(X0,X1))
| greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2] :
( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ greater(age(X0,X2),age(X0,X1))
| ~ organization(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( greater(age(X0,X2),age(X0,X1))
& organization(X0) )
=> greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X4,X3] :
( ( greater(age(X0,X3),age(X0,X4))
& organization(X0) )
=> greater(stock_of_knowledge(X0,X3),stock_of_knowledge(X0,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_7) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| greater(capability(X0,X2),capability(X0,X1))
| ~ organization(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
& ( greater(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
| ~ organization(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( ( capability(X0,X2) = capability(X0,X1)
| internal_friction(X0,X2) != internal_friction(X0,X1)
| stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
& ( smaller(capability(X0,X2),capability(X0,X1))
| ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
& ( greater(capability(X0,X2),capability(X0,X1))
| ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
| ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
| ~ organization(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1,X2] :
( organization(X0)
=> ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
& stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
=> capability(X0,X2) = capability(X0,X1) )
& ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
& smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> smaller(capability(X0,X2),capability(X0,X1)) )
& ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
& greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
=> greater(capability(X0,X2),capability(X0,X1)) ) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X4,X3] :
( organization(X0)
=> ( ( ( internal_friction(X0,X3) = internal_friction(X0,X4)
& stock_of_knowledge(X0,X3) = stock_of_knowledge(X0,X4) )
=> capability(X0,X3) = capability(X0,X4) )
& ( ( greater(internal_friction(X0,X3),internal_friction(X0,X4))
& smaller_or_equal(stock_of_knowledge(X0,X3),stock_of_knowledge(X0,X4)) )
=> smaller(capability(X0,X3),capability(X0,X4)) )
& ( ( smaller_or_equal(internal_friction(X0,X3),internal_friction(X0,X4))
& greater(stock_of_knowledge(X0,X3),stock_of_knowledge(X0,X4)) )
=> greater(capability(X0,X3),capability(X0,X4)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).
fof(f605,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f114,f602,f598]) ).
fof(f598,plain,
( spl3_4
<=> hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f602,plain,
( spl3_5
<=> smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f114,plain,
( smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2))
| hazard_of_mortality(sK0,sK2) = hazard_of_mortality(sK0,sK1) ),
inference(resolution,[],[f89,f51]) ).
fof(f89,plain,
! [X0,X1] :
( smaller(X1,X0)
| smaller(X0,X1)
| X0 = X1 ),
inference(resolution,[],[f52,f59]) ).
fof(f52,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(f508,plain,
( spl3_1
| spl3_2
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f449,f505,f501,f497]) ).
fof(f449,plain,
( ~ greater_or_equal(capability(sK0,sK2),capability(sK0,sK1))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1) ),
inference(subsumption_resolution,[],[f448,f48]) ).
fof(f448,plain,
( ~ greater_or_equal(capability(sK0,sK2),capability(sK0,sK1))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ organization(sK0) ),
inference(subsumption_resolution,[],[f443,f51]) ).
fof(f443,plain,
( smaller(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
| ~ greater_or_equal(capability(sK0,sK2),capability(sK0,sK1))
| has_immunity(sK0,sK2)
| has_immunity(sK0,sK1)
| ~ organization(sK0) ),
inference(resolution,[],[f68,f190]) ).
fof(f68,plain,
! [X2,X0,X1] :
( ~ greater(position(X0,X2),position(X0,X1))
| smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
| ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
| has_immunity(X0,X2)
| has_immunity(X0,X1)
| ~ organization(X0) ),
inference(cnf_transformation,[],[f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : MGT046+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32 % Computer : n023.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Fri May 3 20:05:38 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % (30861)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.34 % (30864)WARNING: value z3 for option sas not known
% 0.17/0.34 % (30862)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.34 % (30866)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)
% 0.17/0.34 % (30865)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.34 % (30863)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.34 % (30864)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)
% 0.17/0.34 % (30867)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)
% 0.17/0.34 % (30868)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)
% 0.17/0.35 TRYING [1]
% 0.17/0.35 TRYING [2]
% 0.17/0.35 TRYING [3]
% 0.17/0.36 TRYING [1]
% 0.17/0.36 TRYING [2]
% 0.17/0.36 TRYING [4]
% 0.17/0.36 TRYING [1]
% 0.17/0.36 TRYING [2]
% 0.17/0.37 TRYING [3]
% 0.17/0.37 % (30864)First to succeed.
% 0.17/0.37 % (30864)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30861"
% 0.17/0.37 % (30864)Refutation found. Thanks to Tanya!
% 0.17/0.37 % SZS status Theorem for theBenchmark
% 0.17/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.37 % (30864)------------------------------
% 0.17/0.37 % (30864)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.17/0.37 % (30864)Termination reason: Refutation
% 0.17/0.37
% 0.17/0.37 % (30864)Memory used [KB]: 1202
% 0.17/0.37 % (30864)Time elapsed: 0.029 s
% 0.17/0.37 % (30864)Instructions burned: 50 (million)
% 0.17/0.37 % (30861)Success in time 0.044 s
%------------------------------------------------------------------------------