TSTP Solution File: MGT039+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 May 1 03:22:00 EDT 2024
% Result : Theorem 0.65s 0.83s
% Output : Refutation 0.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 34
% Syntax : Number of formulae : 152 ( 13 unt; 0 def)
% Number of atoms : 533 ( 21 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 657 ( 276 ~; 290 |; 50 &)
% ( 22 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 30 ( 28 usr; 21 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 144 ( 134 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f338,plain,
$false,
inference(avatar_sat_refutation,[],[f77,f81,f85,f86,f87,f100,f102,f108,f143,f152,f163,f216,f217,f223,f248,f250,f251,f258,f283,f313,f330,f337]) ).
fof(f337,plain,
~ spl3_27,
inference(avatar_contradiction_clause,[],[f336]) ).
fof(f336,plain,
( $false
| ~ spl3_27 ),
inference(resolution,[],[f257,f64]) ).
fof(f64,plain,
~ selection_favors(efficient_producers,first_movers,sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ~ selection_favors(efficient_producers,first_movers,sK2)
& slow_change(sK2)
& observational_period(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f37,f44]) ).
fof(f44,plain,
( ? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) )
=> ( ~ selection_favors(efficient_producers,first_movers,sK2)
& slow_change(sK2)
& observational_period(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,negated_conjecture,
~ ! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',prove_t8) ).
fof(f257,plain,
( selection_favors(efficient_producers,first_movers,sK2)
| ~ spl3_27 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f255,plain,
( spl3_27
<=> selection_favors(efficient_producers,first_movers,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f330,plain,
( ~ spl3_6
| spl3_26 ),
inference(avatar_split_clause,[],[f328,f245,f93]) ).
fof(f93,plain,
( spl3_6
<=> environment(sK0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f245,plain,
( spl3_26
<=> greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f328,plain,
( ~ environment(sK0(sK2))
| spl3_26 ),
inference(resolution,[],[f247,f55]) ).
fof(f55,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),start_time(X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1] :
( environment(X1)
=> greater_or_equal(critical_point(X1),start_time(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp_time_of_critical_point) ).
fof(f247,plain,
( ~ greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| spl3_26 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f313,plain,
( ~ spl3_6
| spl3_18
| ~ spl3_12
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f309,f281,f160,f188,f93]) ).
fof(f188,plain,
( spl3_18
<=> in_environment(sK0(sK2),end_time(sK0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f160,plain,
( spl3_12
<=> greater(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f281,plain,
( spl3_31
<=> ! [X0] :
( greater(X0,start_time(sK0(sK2)))
| ~ greater(X0,critical_point(sK0(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f309,plain,
( in_environment(sK0(sK2),end_time(sK0(sK2)))
| ~ environment(sK0(sK2))
| ~ spl3_12
| ~ spl3_31 ),
inference(resolution,[],[f294,f114]) ).
fof(f114,plain,
! [X0] :
( ~ greater_or_equal(end_time(X0),start_time(X0))
| in_environment(X0,end_time(X0))
| ~ environment(X0) ),
inference(resolution,[],[f53,f65]) ).
fof(f65,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( ( greater_or_equal(X0,X1)
| ( X0 != X1
& ~ greater(X0,X1) ) )
& ( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X3,X4] :
( greater_or_equal(X3,X4)
<=> ( X3 = X4
| greater(X3,X4) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp_greater_or_equal) ).
fof(f53,plain,
! [X0,X1] :
( ~ greater_or_equal(end_time(X0),X1)
| in_environment(X0,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ greater_or_equal(end_time(X0),X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( greater_or_equal(end_time(X0),X1)
& greater_or_equal(X1,start_time(X0))
& environment(X0) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X2] :
( ( greater_or_equal(end_time(X1),X2)
& greater_or_equal(X2,start_time(X1))
& environment(X1) )
=> in_environment(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp_time_in_environment) ).
fof(f294,plain,
( greater_or_equal(end_time(sK0(sK2)),start_time(sK0(sK2)))
| ~ spl3_12
| ~ spl3_31 ),
inference(resolution,[],[f284,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f284,plain,
( greater(end_time(sK0(sK2)),start_time(sK0(sK2)))
| ~ spl3_12
| ~ spl3_31 ),
inference(resolution,[],[f282,f162]) ).
fof(f162,plain,
( greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f282,plain,
( ! [X0] :
( ~ greater(X0,critical_point(sK0(sK2)))
| greater(X0,start_time(sK0(sK2))) )
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f283,plain,
( spl3_31
| spl3_18
| ~ spl3_6
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f279,f231,f93,f188,f281]) ).
fof(f231,plain,
( spl3_24
<=> in_environment(sK0(sK2),critical_point(sK0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f279,plain,
( ! [X0] :
( ~ environment(sK0(sK2))
| in_environment(sK0(sK2),end_time(sK0(sK2)))
| greater(X0,start_time(sK0(sK2)))
| ~ greater(X0,critical_point(sK0(sK2))) )
| ~ spl3_24 ),
inference(resolution,[],[f136,f232]) ).
fof(f232,plain,
( in_environment(sK0(sK2),critical_point(sK0(sK2)))
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f136,plain,
! [X0,X1] :
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| in_environment(X0,end_time(X0))
| greater(X1,start_time(X0))
| ~ greater(X1,critical_point(X0)) ),
inference(duplicate_literal_removal,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ~ in_environment(X0,critical_point(X0))
| ~ environment(X0)
| in_environment(X0,end_time(X0))
| ~ environment(X0)
| greater(X1,start_time(X0))
| ~ greater(X1,critical_point(X0)) ),
inference(superposition,[],[f117,f111]) ).
fof(f111,plain,
! [X0,X1] :
( start_time(X0) = critical_point(X0)
| ~ environment(X0)
| greater(X1,start_time(X0))
| ~ greater(X1,critical_point(X0)) ),
inference(resolution,[],[f89,f56]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X3,X4,X5] :
( ( greater(X4,X5)
& greater(X3,X4) )
=> greater(X3,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp_greater_transitivity) ).
fof(f89,plain,
! [X0] :
( greater(critical_point(X0),start_time(X0))
| start_time(X0) = critical_point(X0)
| ~ environment(X0) ),
inference(resolution,[],[f57,f55]) ).
fof(f57,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f43]) ).
fof(f117,plain,
! [X0] :
( ~ in_environment(X0,start_time(X0))
| ~ environment(X0)
| in_environment(X0,end_time(X0)) ),
inference(duplicate_literal_removal,[],[f116]) ).
fof(f116,plain,
! [X0] :
( in_environment(X0,end_time(X0))
| ~ environment(X0)
| ~ in_environment(X0,start_time(X0))
| ~ environment(X0) ),
inference(resolution,[],[f114,f54]) ).
fof(f54,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> greater_or_equal(end_time(X0),X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2] :
( ( in_environment(X1,X2)
& environment(X1) )
=> greater_or_equal(end_time(X1),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp_environment_end_point) ).
fof(f258,plain,
( spl3_27
| ~ spl3_7
| ~ spl3_3
| ~ spl3_19 ),
inference(avatar_split_clause,[],[f253,f192,f75,f97,f255]) ).
fof(f97,plain,
( spl3_7
<=> observational_period(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f75,plain,
( spl3_3
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f192,plain,
( spl3_19
<=> selection_favors(efficient_producers,first_movers,end_time(sK0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f253,plain,
( ~ observational_period(sK2)
| selection_favors(efficient_producers,first_movers,sK2)
| ~ spl3_3
| ~ spl3_19 ),
inference(resolution,[],[f194,f76]) ).
fof(f76,plain,
( ! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f194,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0(sK2)))
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f192]) ).
fof(f251,plain,
( ~ spl3_6
| ~ spl3_18
| spl3_19
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f239,f160,f192,f188,f93]) ).
fof(f239,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK0(sK2)))
| ~ in_environment(sK0(sK2),end_time(sK0(sK2)))
| ~ environment(sK0(sK2))
| ~ spl3_12 ),
inference(resolution,[],[f162,f61]) ).
fof(f61,plain,
! [X0,X1] :
( ~ greater(X1,critical_point(X0))
| selection_favors(efficient_producers,first_movers,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( selection_favors(efficient_producers,first_movers,X1)
| ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( selection_favors(efficient_producers,first_movers,X1)
| ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( greater(X1,critical_point(X0))
& in_environment(X0,X1)
& environment(X0) )
=> selection_favors(efficient_producers,first_movers,X1) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2] :
( ( greater(X2,critical_point(X1))
& in_environment(X1,X2)
& environment(X1) )
=> selection_favors(efficient_producers,first_movers,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',l8) ).
fof(f250,plain,
( ~ spl3_7
| ~ spl3_8
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f249,f210,f105,f97]) ).
fof(f105,plain,
( spl3_8
<=> in_environment(sK2,sK0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f210,plain,
( spl3_22
<=> ! [X0] :
( ~ slow_change(X0)
| ~ in_environment(X0,sK0(sK2))
| ~ observational_period(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f249,plain,
( ~ in_environment(sK2,sK0(sK2))
| ~ observational_period(sK2)
| ~ spl3_22 ),
inference(resolution,[],[f211,f63]) ).
fof(f63,plain,
slow_change(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f211,plain,
( ! [X0] :
( ~ slow_change(X0)
| ~ in_environment(X0,sK0(sK2))
| ~ observational_period(X0) )
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f248,plain,
( ~ spl3_6
| ~ spl3_26
| spl3_24
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f242,f213,f231,f245,f93]) ).
fof(f213,plain,
( spl3_23
<=> greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f242,plain,
( in_environment(sK0(sK2),critical_point(sK0(sK2)))
| ~ greater_or_equal(critical_point(sK0(sK2)),start_time(sK0(sK2)))
| ~ environment(sK0(sK2))
| ~ spl3_23 ),
inference(resolution,[],[f215,f53]) ).
fof(f215,plain,
( greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f223,plain,
( spl3_23
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f221,f160,f213]) ).
fof(f221,plain,
( greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ spl3_12 ),
inference(resolution,[],[f162,f58]) ).
fof(f217,plain,
( ~ spl3_6
| spl3_22
| spl3_12
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f199,f156,f160,f210,f93]) ).
fof(f156,plain,
( spl3_11
<=> end_time(sK0(sK2)) = sK1(sK0(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f199,plain,
( ! [X0] :
( greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ in_environment(X0,sK0(sK2))
| ~ environment(sK0(sK2))
| ~ slow_change(X0)
| ~ observational_period(X0) )
| ~ spl3_11 ),
inference(superposition,[],[f50,f158]) ).
fof(f158,plain,
( end_time(sK0(sK2)) = sK1(sK0(sK2))
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f50,plain,
! [X0,X1] :
( greater(sK1(X1),critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ! [X1] :
( ( greater(sK1(X1),critical_point(X1))
& in_environment(X1,sK1(X1)) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f24,f40]) ).
fof(f40,plain,
! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
=> ( greater(sK1(X1),critical_point(X1))
& in_environment(X1,sK1(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> ! [X1] :
( ( in_environment(X0,X1)
& environment(X1) )
=> ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp4_critical_point) ).
fof(f216,plain,
( spl3_22
| ~ spl3_6
| spl3_23
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f198,f156,f213,f93,f210]) ).
fof(f198,plain,
( ! [X0] :
( greater_or_equal(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ environment(sK0(sK2))
| ~ slow_change(X0)
| ~ observational_period(X0)
| ~ in_environment(X0,sK0(sK2)) )
| ~ spl3_11 ),
inference(superposition,[],[f123,f158]) ).
fof(f123,plain,
! [X0,X1] :
( greater_or_equal(sK1(X1),critical_point(X1))
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0)
| ~ in_environment(X0,X1) ),
inference(resolution,[],[f50,f58]) ).
fof(f163,plain,
( spl3_11
| ~ spl3_6
| spl3_12
| ~ spl3_8
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f153,f150,f105,f160,f93,f156]) ).
fof(f150,plain,
( spl3_10
<=> ! [X0] :
( ~ in_environment(sK2,X0)
| greater(end_time(X0),critical_point(X0))
| ~ environment(X0)
| end_time(X0) = sK1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f153,plain,
( greater(end_time(sK0(sK2)),critical_point(sK0(sK2)))
| ~ environment(sK0(sK2))
| end_time(sK0(sK2)) = sK1(sK0(sK2))
| ~ spl3_8
| ~ spl3_10 ),
inference(resolution,[],[f151,f107]) ).
fof(f107,plain,
( in_environment(sK2,sK0(sK2))
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f151,plain,
( ! [X0] :
( ~ in_environment(sK2,X0)
| greater(end_time(X0),critical_point(X0))
| ~ environment(X0)
| end_time(X0) = sK1(X0) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f150]) ).
fof(f152,plain,
( ~ spl3_7
| spl3_10
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f148,f141,f150,f97]) ).
fof(f141,plain,
( spl3_9
<=> ! [X0,X1] :
( ~ environment(X0)
| ~ greater(X1,sK1(X0))
| greater(X1,critical_point(X0))
| ~ in_environment(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f148,plain,
( ! [X0] :
( ~ in_environment(sK2,X0)
| end_time(X0) = sK1(X0)
| ~ environment(X0)
| greater(end_time(X0),critical_point(X0))
| ~ observational_period(sK2) )
| ~ spl3_9 ),
inference(duplicate_literal_removal,[],[f147]) ).
fof(f147,plain,
( ! [X0] :
( ~ in_environment(sK2,X0)
| end_time(X0) = sK1(X0)
| ~ environment(X0)
| ~ in_environment(sK2,X0)
| greater(end_time(X0),critical_point(X0))
| ~ observational_period(sK2) )
| ~ spl3_9 ),
inference(resolution,[],[f146,f63]) ).
fof(f146,plain,
( ! [X0,X1] :
( ~ slow_change(X1)
| ~ in_environment(sK2,X0)
| end_time(X0) = sK1(X0)
| ~ environment(X0)
| ~ in_environment(X1,X0)
| greater(end_time(X0),critical_point(X0))
| ~ observational_period(X1) )
| ~ spl3_9 ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
( ! [X0,X1] :
( greater(end_time(X0),critical_point(X0))
| ~ in_environment(sK2,X0)
| end_time(X0) = sK1(X0)
| ~ environment(X0)
| ~ environment(X0)
| ~ in_environment(X1,X0)
| ~ environment(X0)
| ~ slow_change(X1)
| ~ observational_period(X1) )
| ~ spl3_9 ),
inference(resolution,[],[f144,f49]) ).
fof(f49,plain,
! [X0,X1] :
( in_environment(X1,sK1(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f144,plain,
( ! [X0,X1] :
( ~ in_environment(X1,sK1(X0))
| greater(end_time(X1),critical_point(X0))
| ~ in_environment(sK2,X0)
| end_time(X1) = sK1(X0)
| ~ environment(X0)
| ~ environment(X1) )
| ~ spl3_9 ),
inference(resolution,[],[f142,f90]) ).
fof(f90,plain,
! [X0,X1] :
( greater(end_time(X0),X1)
| end_time(X0) = X1
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(resolution,[],[f57,f54]) ).
fof(f142,plain,
( ! [X0,X1] :
( ~ greater(X1,sK1(X0))
| ~ environment(X0)
| greater(X1,critical_point(X0))
| ~ in_environment(sK2,X0) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f143,plain,
( ~ spl3_7
| spl3_9 ),
inference(avatar_split_clause,[],[f139,f141,f97]) ).
fof(f139,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(sK2,X0)
| ~ observational_period(sK2)
| greater(X1,critical_point(X0))
| ~ greater(X1,sK1(X0)) ),
inference(resolution,[],[f122,f63]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ slow_change(X0)
| ~ environment(X1)
| ~ in_environment(X0,X1)
| ~ observational_period(X0)
| greater(X2,critical_point(X1))
| ~ greater(X2,sK1(X1)) ),
inference(resolution,[],[f50,f56]) ).
fof(f108,plain,
( spl3_8
| ~ spl3_7
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f103,f79,f97,f105]) ).
fof(f79,plain,
( spl3_4
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| in_environment(X0,sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f103,plain,
( ~ observational_period(sK2)
| in_environment(sK2,sK0(sK2))
| ~ spl3_4 ),
inference(resolution,[],[f80,f64]) ).
fof(f80,plain,
( ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| in_environment(X0,sK0(X0)) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f102,plain,
spl3_7,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f101,plain,
( $false
| spl3_7 ),
inference(resolution,[],[f99,f62]) ).
fof(f62,plain,
observational_period(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f99,plain,
( ~ observational_period(sK2)
| spl3_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,plain,
( spl3_6
| ~ spl3_7
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f91,f83,f97,f93]) ).
fof(f83,plain,
( spl3_5
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| environment(sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f91,plain,
( ~ observational_period(sK2)
| environment(sK0(sK2))
| ~ spl3_5 ),
inference(resolution,[],[f84,f64]) ).
fof(f84,plain,
( ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| environment(sK0(X0)) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f87,plain,
spl3_2,
inference(avatar_split_clause,[],[f52,f71]) ).
fof(f71,plain,
( spl3_2
<=> propagation_strategy(efficient_producers) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f52,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp_organizational_sets2) ).
fof(f86,plain,
spl3_1,
inference(avatar_split_clause,[],[f51,f67]) ).
fof(f67,plain,
( spl3_1
<=> propagation_strategy(first_movers) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f51,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp_organizational_sets1) ).
fof(f85,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f46,f83,f71,f67]) ).
fof(f46,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK0(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
& in_environment(X0,sK0(X0))
& environment(sK0(X0)) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f22,f38]) ).
fof(f38,plain,
! [X0] :
( ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
=> ( ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
& in_environment(X0,sK0(X0))
& environment(sK0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ? [X1] :
( ~ selection_favors(efficient_producers,first_movers,end_time(X1))
& in_environment(X0,X1)
& environment(X1) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ( ! [X1] :
( ( in_environment(X0,X1)
& environment(X1) )
=> selection_favors(efficient_producers,first_movers,end_time(X1)) )
& propagation_strategy(efficient_producers)
& propagation_strategy(first_movers)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366',mp3_favoured_trategy) ).
fof(f81,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f47,f79,f71,f67]) ).
fof(f47,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK0(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f77,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f48,f75,f71,f67]) ).
fof(f48,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK0(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : MGT039+1 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n015.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Tue Apr 30 18:30:18 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.fm4twrxTdb/Vampire---4.8_8366
% 0.65/0.82 % (8567)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.65/0.82 % (8572)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.65/0.82 % (8567)Refutation not found, incomplete strategy% (8567)------------------------------
% 0.65/0.82 % (8567)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (8567)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (8567)Memory used [KB]: 948
% 0.65/0.82 % (8567)Time elapsed: 0.002 s
% 0.65/0.82 % (8567)Instructions burned: 2 (million)
% 0.65/0.82 % (8567)------------------------------
% 0.65/0.82 % (8567)------------------------------
% 0.65/0.82 % (8564)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.82 % (8566)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.65/0.82 % (8565)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.65/0.82 % (8569)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.65/0.82 % (8568)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.65/0.82 % (8571)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.65/0.82 % (8574)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.65/0.82 % (8571)Refutation not found, incomplete strategy% (8571)------------------------------
% 0.65/0.82 % (8571)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (8571)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (8571)Memory used [KB]: 1043
% 0.65/0.82 % (8564)Refutation not found, incomplete strategy% (8564)------------------------------
% 0.65/0.82 % (8564)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (8564)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (8564)Memory used [KB]: 1052
% 0.65/0.82 % (8564)Time elapsed: 0.004 s
% 0.65/0.82 % (8564)Instructions burned: 5 (million)
% 0.65/0.82 % (8564)------------------------------
% 0.65/0.82 % (8564)------------------------------
% 0.65/0.82 % (8571)Time elapsed: 0.004 s
% 0.65/0.82 % (8571)Instructions burned: 3 (million)
% 0.65/0.82 % (8571)------------------------------
% 0.65/0.82 % (8571)------------------------------
% 0.65/0.82 % (8574)Refutation not found, incomplete strategy% (8574)------------------------------
% 0.65/0.82 % (8574)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.82 % (8574)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.82
% 0.65/0.82 % (8574)Memory used [KB]: 1044
% 0.65/0.82 % (8574)Time elapsed: 0.002 s
% 0.65/0.82 % (8574)Instructions burned: 4 (million)
% 0.65/0.82 % (8574)------------------------------
% 0.65/0.82 % (8574)------------------------------
% 0.65/0.83 % (8580)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.65/0.83 % (8565)First to succeed.
% 0.65/0.83 % (8578)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.65/0.83 % (8577)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.65/0.83 % (8578)Refutation not found, incomplete strategy% (8578)------------------------------
% 0.65/0.83 % (8578)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83 % (8578)Termination reason: Refutation not found, incomplete strategy
% 0.65/0.83
% 0.65/0.83 % (8578)Memory used [KB]: 977
% 0.65/0.83 % (8578)Time elapsed: 0.004 s
% 0.65/0.83 % (8578)Instructions burned: 3 (million)
% 0.65/0.83 % (8578)------------------------------
% 0.65/0.83 % (8578)------------------------------
% 0.65/0.83 % (8565)Refutation found. Thanks to Tanya!
% 0.65/0.83 % SZS status Theorem for Vampire---4
% 0.65/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.65/0.83 % (8565)------------------------------
% 0.65/0.83 % (8565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.65/0.83 % (8565)Termination reason: Refutation
% 0.65/0.83
% 0.65/0.83 % (8565)Memory used [KB]: 1143
% 0.65/0.83 % (8565)Time elapsed: 0.011 s
% 0.65/0.83 % (8565)Instructions burned: 13 (million)
% 0.65/0.83 % (8565)------------------------------
% 0.65/0.83 % (8565)------------------------------
% 0.65/0.83 % (8527)Success in time 0.446 s
% 0.65/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------