TSTP Solution File: MGT039+2 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT039+2 : 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 : n004.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 07:56:47 EDT 2024
% Result : Theorem 0.96s 0.83s
% Output : Refutation 0.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 46
% Syntax : Number of formulae : 260 ( 11 unt; 0 def)
% Number of atoms : 989 ( 39 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 1298 ( 569 ~; 580 |; 86 &)
% ( 27 <=>; 36 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 37 ( 35 usr; 26 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 280 ( 269 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1250,plain,
$false,
inference(avatar_sat_refutation,[],[f114,f118,f122,f123,f124,f248,f306,f431,f489,f505,f547,f579,f593,f663,f995,f1018,f1025,f1039,f1047,f1055,f1078,f1107,f1207,f1211,f1227,f1249]) ).
fof(f1249,plain,
( spl3_8
| ~ spl3_5
| ~ spl3_13
| spl3_16 ),
inference(avatar_split_clause,[],[f1248,f283,f263,f120,f230]) ).
fof(f230,plain,
( spl3_8
<=> ! [X0] :
( ~ in_environment(X0,sK1(sK0))
| ~ observational_period(X0)
| ~ slow_change(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f120,plain,
( spl3_5
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| environment(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f263,plain,
( spl3_13
<=> end_time(sK1(sK0)) = sK2(sK1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f283,plain,
( spl3_16
<=> greater(end_time(sK1(sK0)),critical_point(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f1248,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK0))
| ~ slow_change(X0)
| ~ observational_period(X0) )
| ~ spl3_5
| ~ spl3_13
| spl3_16 ),
inference(subsumption_resolution,[],[f1247,f137]) ).
fof(f137,plain,
( environment(sK1(sK0))
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f136,f75]) ).
fof(f75,plain,
observational_period(sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ~ selection_favors(efficient_producers,first_movers,sK0)
& slow_change(sK0)
& observational_period(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f39,f64]) ).
fof(f64,plain,
( ? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) )
=> ( ~ selection_favors(efficient_producers,first_movers,sK0)
& slow_change(sK0)
& observational_period(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
? [X0] :
( ~ selection_favors(efficient_producers,first_movers,X0)
& slow_change(X0)
& observational_period(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,plain,
~ ! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> selection_favors(efficient_producers,first_movers,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ! [X4] :
( ( slow_change(X4)
& observational_period(X4) )
=> selection_favors(efficient_producers,first_movers,X4) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
! [X4] :
( ( slow_change(X4)
& observational_period(X4) )
=> selection_favors(efficient_producers,first_movers,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',prove_t8) ).
fof(f136,plain,
( ~ observational_period(sK0)
| environment(sK1(sK0))
| ~ spl3_5 ),
inference(resolution,[],[f121,f77]) ).
fof(f77,plain,
~ selection_favors(efficient_producers,first_movers,sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f121,plain,
( ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| environment(sK1(X0)) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f1247,plain,
( ! [X0] :
( ~ in_environment(X0,sK1(sK0))
| ~ environment(sK1(sK0))
| ~ slow_change(X0)
| ~ observational_period(X0) )
| ~ spl3_13
| spl3_16 ),
inference(subsumption_resolution,[],[f1241,f284]) ).
fof(f284,plain,
( ~ greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| spl3_16 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f1241,plain,
( ! [X0] :
( greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ in_environment(X0,sK1(sK0))
| ~ environment(sK1(sK0))
| ~ slow_change(X0)
| ~ observational_period(X0) )
| ~ spl3_13 ),
inference(superposition,[],[f96,f265]) ).
fof(f265,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f96,plain,
! [X0,X1] :
( greater(sK2(X1),critical_point(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( ( greater(sK2(X1),critical_point(X1))
& in_environment(X1,sK2(X1)) )
| ~ in_environment(X0,X1)
| ~ environment(X1) )
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f57,f70]) ).
fof(f70,plain,
! [X1] :
( ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) )
=> ( greater(sK2(X1),critical_point(X1))
& in_environment(X1,sK2(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,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,[],[f56]) ).
fof(f56,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,[],[f30]) ).
fof(f30,plain,
! [X0] :
( ( slow_change(X0)
& observational_period(X0) )
=> ! [X1] :
( ( in_environment(X0,X1)
& environment(X1) )
=> ? [X2] :
( greater(X2,critical_point(X1))
& in_environment(X1,X2) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X4] :
( ( slow_change(X4)
& observational_period(X4) )
=> ! [X0] :
( ( in_environment(X4,X0)
& environment(X0) )
=> ? [X3] :
( greater(X3,critical_point(X0))
& in_environment(X0,X3) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp4_critical_point) ).
fof(f1227,plain,
( spl3_44
| spl3_45
| spl3_32 ),
inference(avatar_split_clause,[],[f1226,f392,f609,f605]) ).
fof(f605,plain,
( spl3_44
<=> zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f609,plain,
( spl3_45
<=> ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f392,plain,
( spl3_32
<=> greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f1226,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0)))
| zero = cardinality_at_time(first_movers,end_time(sK1(sK0))) )
| spl3_32 ),
inference(resolution,[],[f394,f138]) ).
fof(f138,plain,
! [X0,X1] :
( greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| zero = cardinality_at_time(first_movers,X1) ),
inference(resolution,[],[f87,f78]) ).
fof(f78,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,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,[],[f66]) ).
fof(f66,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,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6] :
( greater_or_equal(X5,X6)
<=> ( X5 = X6
| greater(X5,X6) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_greater_or_equal) ).
fof(f87,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> greater_or_equal(cardinality_at_time(first_movers,X3),zero) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_first_movers_exist) ).
fof(f394,plain,
( ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| spl3_32 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f1211,plain,
( spl3_16
| spl3_13
| ~ spl3_5
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f1210,f311,f120,f263,f283]) ).
fof(f311,plain,
( spl3_21
<=> in_environment(sK0,sK1(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f1210,plain,
( end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ spl3_5
| ~ spl3_21 ),
inference(subsumption_resolution,[],[f568,f312]) ).
fof(f312,plain,
( in_environment(sK0,sK1(sK0))
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f568,plain,
( ~ in_environment(sK0,sK1(sK0))
| end_time(sK1(sK0)) = sK2(sK1(sK0))
| greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ spl3_5 ),
inference(resolution,[],[f466,f137]) ).
fof(f466,plain,
! [X0] :
( ~ environment(X0)
| ~ in_environment(sK0,X0)
| end_time(X0) = sK2(X0)
| greater(end_time(X0),critical_point(X0)) ),
inference(subsumption_resolution,[],[f465,f75]) ).
fof(f465,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| ~ environment(X0)
| end_time(X0) = sK2(X0)
| greater(end_time(X0),critical_point(X0))
| ~ observational_period(sK0) ),
inference(duplicate_literal_removal,[],[f464]) ).
fof(f464,plain,
! [X0] :
( ~ in_environment(sK0,X0)
| ~ environment(X0)
| end_time(X0) = sK2(X0)
| ~ in_environment(sK0,X0)
| greater(end_time(X0),critical_point(X0))
| ~ observational_period(sK0) ),
inference(resolution,[],[f272,f76]) ).
fof(f76,plain,
slow_change(sK0),
inference(cnf_transformation,[],[f65]) ).
fof(f272,plain,
! [X0,X1] :
( ~ slow_change(X1)
| ~ in_environment(sK0,X0)
| ~ environment(X0)
| end_time(X0) = sK2(X0)
| ~ in_environment(X1,X0)
| greater(end_time(X0),critical_point(X0))
| ~ observational_period(X1) ),
inference(duplicate_literal_removal,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( greater(end_time(X0),critical_point(X0))
| ~ in_environment(sK0,X0)
| ~ environment(X0)
| ~ environment(X0)
| end_time(X0) = sK2(X0)
| ~ in_environment(X1,X0)
| ~ environment(X0)
| ~ slow_change(X1)
| ~ observational_period(X1) ),
inference(resolution,[],[f225,f95]) ).
fof(f95,plain,
! [X0,X1] :
( in_environment(X1,sK2(X1))
| ~ in_environment(X0,X1)
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f225,plain,
! [X0,X1] :
( ~ in_environment(X1,sK2(X0))
| greater(end_time(X1),critical_point(X0))
| ~ in_environment(sK0,X0)
| ~ environment(X1)
| ~ environment(X0)
| end_time(X1) = sK2(X0) ),
inference(subsumption_resolution,[],[f224,f75]) ).
fof(f224,plain,
! [X0,X1] :
( ~ environment(X0)
| ~ observational_period(sK0)
| greater(end_time(X1),critical_point(X0))
| ~ in_environment(sK0,X0)
| ~ environment(X1)
| ~ in_environment(X1,sK2(X0))
| end_time(X1) = sK2(X0) ),
inference(resolution,[],[f168,f76]) ).
fof(f168,plain,
! [X2,X0,X1] :
( ~ slow_change(X1)
| ~ environment(X0)
| ~ observational_period(X1)
| greater(end_time(X2),critical_point(X0))
| ~ in_environment(X1,X0)
| ~ environment(X2)
| ~ in_environment(X2,sK2(X0))
| sK2(X0) = end_time(X2) ),
inference(resolution,[],[f147,f135]) ).
fof(f135,plain,
! [X0,X1] :
( greater(end_time(X0),X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| end_time(X0) = X1 ),
inference(resolution,[],[f97,f78]) ).
fof(f97,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( greater_or_equal(end_time(X0),X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> greater_or_equal(end_time(X0),X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> greater_or_equal(end_time(X0),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_environment_end_point) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ greater(X2,sK2(X1))
| ~ environment(X1)
| ~ slow_change(X0)
| ~ observational_period(X0)
| greater(X2,critical_point(X1))
| ~ in_environment(X0,X1) ),
inference(resolution,[],[f96,f84]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X5,X6,X7] :
( ( greater(X6,X7)
& greater(X5,X6) )
=> greater(X5,X7) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_greater_transitivity) ).
fof(f1207,plain,
( ~ spl3_20
| ~ spl3_22
| spl3_23
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f1206]) ).
fof(f1206,plain,
( $false
| ~ spl3_20
| ~ spl3_22
| spl3_23
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1205,f343]) ).
fof(f343,plain,
( in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f342,plain,
( spl3_22
<=> in_environment(sK1(sK0),end_time(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f1205,plain,
( ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ spl3_20
| spl3_23
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f1202,f515]) ).
fof(f515,plain,
( greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f514,plain,
( spl3_38
<=> greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f1202,plain,
( ~ greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ spl3_20
| spl3_23 ),
inference(resolution,[],[f347,f305]) ).
fof(f305,plain,
( ! [X0] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,critical_point(sK1(sK0)))
| ~ in_environment(sK1(sK0),X0) )
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f304,plain,
( spl3_20
<=> ! [X0] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ greater_or_equal(X0,critical_point(sK1(sK0)))
| ~ in_environment(sK1(sK0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f347,plain,
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| spl3_23 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f346,plain,
( spl3_23
<=> greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f1107,plain,
( ~ spl3_5
| spl3_22
| ~ spl3_25 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| ~ spl3_5
| spl3_22
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f1105,f137]) ).
fof(f1105,plain,
( ~ environment(sK1(sK0))
| spl3_22
| ~ spl3_25 ),
inference(subsumption_resolution,[],[f1101,f344]) ).
fof(f344,plain,
( ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| spl3_22 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f1101,plain,
( in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| ~ spl3_25 ),
inference(resolution,[],[f1087,f143]) ).
fof(f143,plain,
! [X0] :
( ~ greater_or_equal(end_time(X0),start_time(X0))
| in_environment(X0,end_time(X0))
| ~ environment(X0) ),
inference(resolution,[],[f98,f102]) ).
fof(f102,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f67]) ).
fof(f98,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,[],[f61]) ).
fof(f61,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,[],[f60]) ).
fof(f60,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,[],[f32]) ).
fof(f32,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,[],[f7]) ).
fof(f7,axiom,
! [X0,X3] :
( ( greater_or_equal(end_time(X0),X3)
& greater_or_equal(X3,start_time(X0))
& environment(X0) )
=> in_environment(X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_time_in_environment) ).
fof(f1087,plain,
( greater_or_equal(end_time(sK1(sK0)),start_time(sK1(sK0)))
| ~ spl3_25 ),
inference(resolution,[],[f358,f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f358,plain,
( greater(end_time(sK1(sK0)),start_time(sK1(sK0)))
| ~ spl3_25 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl3_25
<=> greater(end_time(sK1(sK0)),start_time(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_25])]) ).
fof(f1078,plain,
( spl3_25
| ~ spl3_6
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f1075,f283,f218,f356]) ).
fof(f218,plain,
( spl3_6
<=> ! [X1] :
( greater(X1,start_time(sK1(sK0)))
| ~ greater(X1,critical_point(sK1(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f1075,plain,
( greater(end_time(sK1(sK0)),start_time(sK1(sK0)))
| ~ spl3_6
| ~ spl3_16 ),
inference(resolution,[],[f219,f285]) ).
fof(f285,plain,
( greater(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f219,plain,
( ! [X1] :
( ~ greater(X1,critical_point(sK1(sK0)))
| greater(X1,start_time(sK1(sK0))) )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f1055,plain,
( spl3_6
| ~ spl3_5
| spl3_22
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f1054,f428,f342,f120,f218]) ).
fof(f428,plain,
( spl3_35
<=> in_environment(sK1(sK0),critical_point(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f1054,plain,
( ! [X0] :
( greater(X0,start_time(sK1(sK0)))
| ~ greater(X0,critical_point(sK1(sK0))) )
| ~ spl3_5
| spl3_22
| ~ spl3_35 ),
inference(subsumption_resolution,[],[f1053,f430]) ).
fof(f430,plain,
( in_environment(sK1(sK0),critical_point(sK1(sK0)))
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f428]) ).
fof(f1053,plain,
( ! [X0] :
( ~ in_environment(sK1(sK0),critical_point(sK1(sK0)))
| greater(X0,start_time(sK1(sK0)))
| ~ greater(X0,critical_point(sK1(sK0))) )
| ~ spl3_5
| spl3_22 ),
inference(subsumption_resolution,[],[f1049,f137]) ).
fof(f1049,plain,
( ! [X0] :
( ~ environment(sK1(sK0))
| ~ in_environment(sK1(sK0),critical_point(sK1(sK0)))
| greater(X0,start_time(sK1(sK0)))
| ~ greater(X0,critical_point(sK1(sK0))) )
| spl3_22 ),
inference(resolution,[],[f344,f178]) ).
fof(f178,plain,
! [X0,X1] :
( in_environment(X0,end_time(X0))
| ~ environment(X0)
| ~ in_environment(X0,critical_point(X0))
| greater(X1,start_time(X0))
| ~ greater(X1,critical_point(X0)) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f173,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,[],[f146,f150]) ).
fof(f150,plain,
! [X0,X1] :
( critical_point(X0) = start_time(X0)
| ~ environment(X0)
| greater(X1,start_time(X0))
| ~ greater(X1,critical_point(X0)) ),
inference(resolution,[],[f131,f84]) ).
fof(f131,plain,
! [X0] :
( greater(critical_point(X0),start_time(X0))
| critical_point(X0) = start_time(X0)
| ~ environment(X0) ),
inference(resolution,[],[f78,f94]) ).
fof(f94,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( greater_or_equal(critical_point(X0),start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),start_time(X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_time_of_critical_point) ).
fof(f146,plain,
! [X0] :
( ~ in_environment(X0,start_time(X0))
| ~ environment(X0)
| in_environment(X0,end_time(X0)) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f145,plain,
! [X0] :
( in_environment(X0,end_time(X0))
| ~ environment(X0)
| ~ in_environment(X0,start_time(X0))
| ~ environment(X0) ),
inference(resolution,[],[f143,f97]) ).
fof(f1047,plain,
( ~ spl3_3
| ~ spl3_71 ),
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1046,plain,
( $false
| ~ spl3_3
| ~ spl3_71 ),
inference(subsumption_resolution,[],[f1045,f77]) ).
fof(f1045,plain,
( selection_favors(efficient_producers,first_movers,sK0)
| ~ spl3_3
| ~ spl3_71 ),
inference(subsumption_resolution,[],[f1044,f75]) ).
fof(f1044,plain,
( ~ observational_period(sK0)
| selection_favors(efficient_producers,first_movers,sK0)
| ~ spl3_3
| ~ spl3_71 ),
inference(resolution,[],[f1017,f113]) ).
fof(f113,plain,
( ! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0)))
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl3_3
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f1017,plain,
( selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1015,plain,
( spl3_71
<=> selection_favors(efficient_producers,first_movers,end_time(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
fof(f1039,plain,
( ~ spl3_5
| ~ spl3_22
| ~ spl3_31
| ~ spl3_68 ),
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1038,plain,
( $false
| ~ spl3_5
| ~ spl3_22
| ~ spl3_31
| ~ spl3_68 ),
inference(subsumption_resolution,[],[f1037,f343]) ).
fof(f1037,plain,
( ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ spl3_5
| ~ spl3_31
| ~ spl3_68 ),
inference(subsumption_resolution,[],[f1030,f137]) ).
fof(f1030,plain,
( ~ environment(sK1(sK0))
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ spl3_5
| ~ spl3_31
| ~ spl3_68 ),
inference(resolution,[],[f1027,f390]) ).
fof(f390,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0))) )
| ~ spl3_31 ),
inference(avatar_component_clause,[],[f389]) ).
fof(f389,plain,
( spl3_31
<=> ! [X0] :
( subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f1027,plain,
( ~ subpopulations(first_movers,efficient_producers,sK1(sK0),end_time(sK1(sK0)))
| ~ spl3_5
| ~ spl3_68 ),
inference(resolution,[],[f999,f137]) ).
fof(f999,plain,
( ! [X4] :
( ~ environment(X4)
| ~ subpopulations(first_movers,efficient_producers,X4,end_time(sK1(sK0))) )
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f998]) ).
fof(f998,plain,
( spl3_68
<=> ! [X4] :
( ~ subpopulations(first_movers,efficient_producers,X4,end_time(sK1(sK0)))
| ~ environment(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).
fof(f1025,plain,
( ~ spl3_5
| ~ spl3_16
| ~ spl3_22
| ~ spl3_69 ),
inference(avatar_contradiction_clause,[],[f1024]) ).
fof(f1024,plain,
( $false
| ~ spl3_5
| ~ spl3_16
| ~ spl3_22
| ~ spl3_69 ),
inference(subsumption_resolution,[],[f1023,f137]) ).
fof(f1023,plain,
( ~ environment(sK1(sK0))
| ~ spl3_16
| ~ spl3_22
| ~ spl3_69 ),
inference(subsumption_resolution,[],[f1021,f343]) ).
fof(f1021,plain,
( ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| ~ spl3_16
| ~ spl3_69 ),
inference(resolution,[],[f1002,f285]) ).
fof(f1002,plain,
( ! [X1] :
( ~ greater(end_time(sK1(sK0)),critical_point(X1))
| ~ in_environment(X1,end_time(sK1(sK0)))
| ~ environment(X1) )
| ~ spl3_69 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1001,plain,
( spl3_69
<=> ! [X1] :
( ~ in_environment(X1,end_time(sK1(sK0)))
| ~ greater(end_time(sK1(sK0)),critical_point(X1))
| ~ environment(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).
fof(f1018,plain,
( spl3_71
| spl3_68
| spl3_69
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f1013,f389,f1001,f998,f1015]) ).
fof(f1013,plain,
( ! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0)))
| ~ subpopulations(first_movers,efficient_producers,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| ~ greater(end_time(sK1(sK0)),critical_point(X0))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0))) )
| ~ spl3_31 ),
inference(duplicate_literal_removal,[],[f1012]) ).
fof(f1012,plain,
( ! [X0,X1] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0)))
| ~ subpopulations(first_movers,efficient_producers,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| ~ greater(end_time(sK1(sK0)),critical_point(X0))
| selection_favors(efficient_producers,first_movers,end_time(sK1(sK0)))
| ~ environment(X0) )
| ~ spl3_31 ),
inference(resolution,[],[f390,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X2,X0)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1)
| ~ greater(X0,critical_point(X2))
| selection_favors(efficient_producers,first_movers,X0)
| ~ environment(X2) ),
inference(resolution,[],[f82,f100]) ).
fof(f100,plain,
! [X2,X0] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,critical_point(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0) ),
inference(equality_resolution,[],[f73]) ).
fof(f73,plain,
! [X2,X0,X1] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( critical_point(X0) = X1
& environment(X0) )
=> ( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X0,X8] :
( ( critical_point(X0) = X8
& environment(X0) )
=> ( ! [X3] :
( ( greater(X3,X8)
& subpopulations(first_movers,efficient_producers,X0,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X8),growth_rate(first_movers,X8)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',d1) ).
fof(f82,plain,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| selection_favors(X2,X1,X3)
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( greater(growth_rate(X2,X3),growth_rate(X1,X3))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp1_high_growth_rates) ).
fof(f995,plain,
( spl3_45
| ~ spl3_3
| ~ spl3_23
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f994,f605,f346,f112,f609]) ).
fof(f994,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0))) )
| ~ spl3_3
| ~ spl3_23
| ~ spl3_44 ),
inference(subsumption_resolution,[],[f993,f86]) ).
fof(f86,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X3)
& subpopulation(first_movers,X0,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_subpopulations) ).
fof(f993,plain,
( ! [X0] :
( ~ subpopulation(efficient_producers,X0,end_time(sK1(sK0)))
| ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0))) )
| ~ spl3_3
| ~ spl3_23
| ~ spl3_44 ),
inference(subsumption_resolution,[],[f992,f77]) ).
fof(f992,plain,
( ! [X0] :
( ~ subpopulation(efficient_producers,X0,end_time(sK1(sK0)))
| ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0)))
| selection_favors(efficient_producers,first_movers,sK0) )
| ~ spl3_3
| ~ spl3_23
| ~ spl3_44 ),
inference(subsumption_resolution,[],[f991,f75]) ).
fof(f991,plain,
( ! [X0] :
( ~ subpopulation(efficient_producers,X0,end_time(sK1(sK0)))
| ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0)))
| ~ observational_period(sK0)
| selection_favors(efficient_producers,first_movers,sK0) )
| ~ spl3_3
| ~ spl3_23
| ~ spl3_44 ),
inference(subsumption_resolution,[],[f990,f348]) ).
fof(f348,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f990,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| ~ subpopulation(efficient_producers,X0,end_time(sK1(sK0)))
| ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0)))
| ~ observational_period(sK0)
| selection_favors(efficient_producers,first_movers,sK0) )
| ~ spl3_3
| ~ spl3_44 ),
inference(resolution,[],[f965,f113]) ).
fof(f965,plain,
( ! [X0,X1] :
( selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| ~ in_environment(X1,end_time(sK1(sK0))) )
| ~ spl3_44 ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f964,plain,
( ! [X0,X1] :
( ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1)
| ~ in_environment(X1,end_time(sK1(sK0)))
| ~ environment(X1) )
| ~ spl3_44 ),
inference(resolution,[],[f672,f85]) ).
fof(f85,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f672,plain,
( ! [X0,X1] :
( ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1) )
| ~ spl3_44 ),
inference(trivial_inequality_removal,[],[f671]) ).
fof(f671,plain,
( ! [X0,X1] :
( zero != zero
| selection_favors(X0,first_movers,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(X0,end_time(sK1(sK0))),zero)
| ~ subpopulation(first_movers,X1,end_time(sK1(sK0)))
| ~ subpopulation(X0,X1,end_time(sK1(sK0)))
| ~ environment(X1) )
| ~ spl3_44 ),
inference(superposition,[],[f81,f607]) ).
fof(f607,plain,
( zero = cardinality_at_time(first_movers,end_time(sK1(sK0)))
| ~ spl3_44 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f81,plain,
! [X2,X3,X0,X1] :
( zero != cardinality_at_time(X2,X3)
| selection_favors(X1,X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X2,X3)
| zero != cardinality_at_time(X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f40]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X2,X3)
| zero != cardinality_at_time(X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( ( zero = cardinality_at_time(X2,X3)
& greater(cardinality_at_time(X1,X3),zero)
& subpopulation(X2,X0,X3)
& subpopulation(X1,X0,X3)
& environment(X0) )
=> selection_favors(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp2_favour_members) ).
fof(f663,plain,
( ~ spl3_5
| ~ spl3_22
| ~ spl3_45 ),
inference(avatar_contradiction_clause,[],[f662]) ).
fof(f662,plain,
( $false
| ~ spl3_5
| ~ spl3_22
| ~ spl3_45 ),
inference(subsumption_resolution,[],[f660,f343]) ).
fof(f660,plain,
( ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ spl3_5
| ~ spl3_45 ),
inference(resolution,[],[f610,f137]) ).
fof(f610,plain,
( ! [X0] :
( ~ environment(X0)
| ~ in_environment(X0,end_time(sK1(sK0))) )
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f593,plain,
( ~ spl3_32
| spl3_31
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f590,f346,f389,f392]) ).
fof(f590,plain,
( ! [X0] :
( subpopulations(first_movers,efficient_producers,X0,end_time(sK1(sK0)))
| ~ greater(cardinality_at_time(first_movers,end_time(sK1(sK0))),zero)
| ~ in_environment(X0,end_time(sK1(sK0)))
| ~ environment(X0) )
| ~ spl3_23 ),
inference(resolution,[],[f348,f83]) ).
fof(f83,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero)
& in_environment(X0,X1)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X3] :
( ( greater(cardinality_at_time(efficient_producers,X3),zero)
& greater(cardinality_at_time(first_movers,X3),zero)
& in_environment(X0,X3)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_contains_FM_and_EP) ).
fof(f579,plain,
( spl3_23
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f578,f342,f301,f283,f120,f346]) ).
fof(f301,plain,
( spl3_19
<=> ! [X1] :
( greater(X1,appear(efficient_producers,sK1(sK0)))
| ~ greater(X1,critical_point(sK1(sK0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f578,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| ~ spl3_5
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f577,f137]) ).
fof(f577,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| ~ environment(sK1(sK0))
| ~ spl3_16
| ~ spl3_19
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f571,f343]) ).
fof(f571,plain,
( greater(cardinality_at_time(efficient_producers,end_time(sK1(sK0))),zero)
| ~ in_environment(sK1(sK0),end_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| ~ spl3_16
| ~ spl3_19 ),
inference(resolution,[],[f551,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,X1)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X3] :
( ( greater_or_equal(X3,appear(efficient_producers,X0))
& in_environment(X0,X3)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X3),zero) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',t6) ).
fof(f551,plain,
( greater_or_equal(end_time(sK1(sK0)),appear(efficient_producers,sK1(sK0)))
| ~ spl3_16
| ~ spl3_19 ),
inference(resolution,[],[f433,f285]) ).
fof(f433,plain,
( ! [X0] :
( ~ greater(X0,critical_point(sK1(sK0)))
| greater_or_equal(X0,appear(efficient_producers,sK1(sK0))) )
| ~ spl3_19 ),
inference(resolution,[],[f302,f79]) ).
fof(f302,plain,
( ! [X1] :
( greater(X1,appear(efficient_producers,sK1(sK0)))
| ~ greater(X1,critical_point(sK1(sK0))) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f547,plain,
( spl3_38
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f500,f283,f514]) ).
fof(f500,plain,
( greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ spl3_16 ),
inference(resolution,[],[f285,f79]) ).
fof(f505,plain,
( ~ spl3_4
| spl3_21 ),
inference(avatar_contradiction_clause,[],[f504]) ).
fof(f504,plain,
( $false
| ~ spl3_4
| spl3_21 ),
inference(subsumption_resolution,[],[f503,f77]) ).
fof(f503,plain,
( selection_favors(efficient_producers,first_movers,sK0)
| ~ spl3_4
| spl3_21 ),
inference(subsumption_resolution,[],[f502,f75]) ).
fof(f502,plain,
( ~ observational_period(sK0)
| selection_favors(efficient_producers,first_movers,sK0)
| ~ spl3_4
| spl3_21 ),
inference(resolution,[],[f313,f117]) ).
fof(f117,plain,
( ! [X0] :
( in_environment(X0,sK1(X0))
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl3_4
<=> ! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0)
| in_environment(X0,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f313,plain,
( ~ in_environment(sK0,sK1(sK0))
| spl3_21 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f489,plain,
( ~ spl3_5
| spl3_34 ),
inference(avatar_contradiction_clause,[],[f488]) ).
fof(f488,plain,
( $false
| ~ spl3_5
| spl3_34 ),
inference(subsumption_resolution,[],[f486,f137]) ).
fof(f486,plain,
( ~ environment(sK1(sK0))
| spl3_34 ),
inference(resolution,[],[f426,f94]) ).
fof(f426,plain,
( ~ greater_or_equal(critical_point(sK1(sK0)),start_time(sK1(sK0)))
| spl3_34 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl3_34
<=> greater_or_equal(critical_point(sK1(sK0)),start_time(sK1(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f431,plain,
( ~ spl3_34
| spl3_35
| ~ spl3_5
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f422,f283,f120,f428,f424]) ).
fof(f422,plain,
( in_environment(sK1(sK0),critical_point(sK1(sK0)))
| ~ greater_or_equal(critical_point(sK1(sK0)),start_time(sK1(sK0)))
| ~ spl3_5
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f420,f137]) ).
fof(f420,plain,
( in_environment(sK1(sK0),critical_point(sK1(sK0)))
| ~ greater_or_equal(critical_point(sK1(sK0)),start_time(sK1(sK0)))
| ~ environment(sK1(sK0))
| ~ spl3_16 ),
inference(resolution,[],[f403,f98]) ).
fof(f403,plain,
( greater_or_equal(end_time(sK1(sK0)),critical_point(sK1(sK0)))
| ~ spl3_16 ),
inference(resolution,[],[f285,f79]) ).
fof(f306,plain,
( spl3_19
| spl3_20
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f298,f120,f304,f301]) ).
fof(f298,plain,
( ! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ in_environment(sK1(sK0),X0)
| ~ greater_or_equal(X0,critical_point(sK1(sK0)))
| greater(X1,appear(efficient_producers,sK1(sK0)))
| ~ greater(X1,critical_point(sK1(sK0))) )
| ~ spl3_5 ),
inference(resolution,[],[f200,f137]) ).
fof(f200,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ greater_or_equal(X1,critical_point(X0))
| greater(X2,appear(efficient_producers,X0))
| ~ greater(X2,critical_point(X0)) ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f190,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(X1,critical_point(X0))
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ environment(X0)
| greater(X2,appear(efficient_producers,X0))
| ~ greater(X2,critical_point(X0)) ),
inference(superposition,[],[f74,f162]) ).
fof(f162,plain,
! [X0,X1] :
( critical_point(X0) = appear(efficient_producers,X0)
| ~ environment(X0)
| greater(X1,appear(efficient_producers,X0))
| ~ greater(X1,critical_point(X0)) ),
inference(resolution,[],[f132,f84]) ).
fof(f132,plain,
! [X0] :
( greater(critical_point(X0),appear(efficient_producers,X0))
| critical_point(X0) = appear(efficient_producers,X0)
| ~ environment(X0) ),
inference(resolution,[],[f78,f92]) ).
fof(f92,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_critical_point_after_EP) ).
fof(f248,plain,
( ~ spl3_4
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| ~ spl3_4
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f246,f77]) ).
fof(f246,plain,
( selection_favors(efficient_producers,first_movers,sK0)
| ~ spl3_4
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f245,f75]) ).
fof(f245,plain,
( ~ observational_period(sK0)
| selection_favors(efficient_producers,first_movers,sK0)
| ~ spl3_4
| ~ spl3_8 ),
inference(resolution,[],[f244,f117]) ).
fof(f244,plain,
( ~ in_environment(sK0,sK1(sK0))
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f243,f75]) ).
fof(f243,plain,
( ~ observational_period(sK0)
| ~ in_environment(sK0,sK1(sK0))
| ~ spl3_8 ),
inference(resolution,[],[f231,f76]) ).
fof(f231,plain,
( ! [X0] :
( ~ slow_change(X0)
| ~ observational_period(X0)
| ~ in_environment(X0,sK1(sK0)) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f124,plain,
spl3_1,
inference(avatar_split_clause,[],[f88,f104]) ).
fof(f104,plain,
( spl3_1
<=> propagation_strategy(first_movers) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f88,plain,
propagation_strategy(first_movers),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_organizational_sets1) ).
fof(f123,plain,
spl3_2,
inference(avatar_split_clause,[],[f93,f108]) ).
fof(f108,plain,
( spl3_2
<=> propagation_strategy(efficient_producers) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f93,plain,
propagation_strategy(efficient_producers),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp_organizational_sets2) ).
fof(f122,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_5 ),
inference(avatar_split_clause,[],[f89,f120,f108,f104]) ).
fof(f89,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| environment(sK1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ( ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0)))
& in_environment(X0,sK1(X0))
& environment(sK1(X0)) )
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f53,f68]) ).
fof(f68,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(sK1(X0)))
& in_environment(X0,sK1(X0))
& environment(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,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,[],[f52]) ).
fof(f52,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,[],[f29]) ).
fof(f29,plain,
! [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) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X4] :
( ( ! [X0] :
( ( in_environment(X4,X0)
& environment(X0) )
=> selection_favors(efficient_producers,first_movers,end_time(X0)) )
& propagation_strategy(efficient_producers)
& propagation_strategy(first_movers)
& observational_period(X4) )
=> selection_favors(efficient_producers,first_movers,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.Q7lnvgJLOP/Vampire---4.8_26781',mp3_favoured_trategy) ).
fof(f118,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f90,f116,f108,f104]) ).
fof(f90,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| in_environment(X0,sK1(X0))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f114,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3 ),
inference(avatar_split_clause,[],[f91,f112,f108,f104]) ).
fof(f91,plain,
! [X0] :
( selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sK1(X0)))
| ~ propagation_strategy(efficient_producers)
| ~ propagation_strategy(first_movers)
| ~ observational_period(X0) ),
inference(cnf_transformation,[],[f69]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT039+2 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.15 % 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
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 20:04:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 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.Q7lnvgJLOP/Vampire---4.8_26781
% 0.58/0.74 % (26965)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.58/0.74 % (26967)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 (2996ds/56Mi)
% 0.58/0.74 % (26962)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.58/0.74 % (26963)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.58/0.74 % (26961)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 (2996ds/51Mi)
% 0.58/0.74 % (26964)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 (2996ds/34Mi)
% 0.58/0.74 % (26960)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 (2996ds/34Mi)
% 0.58/0.74 % (26966)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 (2996ds/83Mi)
% 0.58/0.74 % (26963)Refutation not found, incomplete strategy% (26963)------------------------------
% 0.58/0.74 % (26963)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.74 % (26963)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.74
% 0.58/0.74 % (26963)Memory used [KB]: 952
% 0.58/0.74 % (26963)Time elapsed: 0.002 s
% 0.58/0.74 % (26963)Instructions burned: 2 (million)
% 0.58/0.74 % (26963)------------------------------
% 0.58/0.74 % (26963)------------------------------
% 0.58/0.74 % (26968)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 (2996ds/55Mi)
% 0.59/0.75 % (26968)Refutation not found, incomplete strategy% (26968)------------------------------
% 0.59/0.75 % (26968)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (26968)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (26968)Memory used [KB]: 1057
% 0.59/0.75 % (26968)Time elapsed: 0.006 s
% 0.59/0.75 % (26968)Instructions burned: 5 (million)
% 0.59/0.75 % (26968)------------------------------
% 0.59/0.75 % (26968)------------------------------
% 0.59/0.75 % (26965)Instruction limit reached!
% 0.59/0.75 % (26965)------------------------------
% 0.59/0.75 % (26965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (26965)Termination reason: Unknown
% 0.59/0.75 % (26965)Termination phase: Saturation
% 0.59/0.75
% 0.59/0.75 % (26965)Memory used [KB]: 1200
% 0.59/0.75 % (26965)Time elapsed: 0.013 s
% 0.59/0.75 % (26965)Instructions burned: 46 (million)
% 0.59/0.75 % (26965)------------------------------
% 0.59/0.75 % (26965)------------------------------
% 0.59/0.75 % (26970)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 (2996ds/208Mi)
% 0.59/0.75 % (26970)Refutation not found, incomplete strategy% (26970)------------------------------
% 0.59/0.75 % (26970)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (26970)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (26970)Memory used [KB]: 952
% 0.59/0.75 % (26970)Time elapsed: 0.001 s
% 0.59/0.75 % (26970)Instructions burned: 2 (million)
% 0.59/0.75 % (26970)------------------------------
% 0.59/0.75 % (26970)------------------------------
% 0.59/0.75 % (26969)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 (2996ds/50Mi)
% 0.59/0.75 % (26967)Instruction limit reached!
% 0.59/0.75 % (26967)------------------------------
% 0.59/0.75 % (26967)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (26967)Termination reason: Unknown
% 0.59/0.75 % (26967)Termination phase: Saturation
% 0.59/0.75
% 0.59/0.75 % (26967)Memory used [KB]: 1432
% 0.59/0.75 % (26967)Time elapsed: 0.017 s
% 0.59/0.75 % (26967)Instructions burned: 58 (million)
% 0.59/0.75 % (26967)------------------------------
% 0.59/0.75 % (26967)------------------------------
% 0.59/0.75 % (26971)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 (2996ds/52Mi)
% 0.59/0.75 % (26972)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.59/0.75 % (26966)Refutation not found, incomplete strategy% (26966)------------------------------
% 0.59/0.75 % (26966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (26966)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (26966)Memory used [KB]: 1217
% 0.59/0.75 % (26966)Time elapsed: 0.019 s
% 0.59/0.75 % (26966)Instructions burned: 27 (million)
% 0.59/0.75 % (26966)------------------------------
% 0.59/0.75 % (26966)------------------------------
% 0.59/0.76 % (26960)Instruction limit reached!
% 0.59/0.76 % (26960)------------------------------
% 0.59/0.76 % (26960)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26960)Termination reason: Unknown
% 0.59/0.76 % (26960)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (26960)Memory used [KB]: 1248
% 0.59/0.76 % (26960)Time elapsed: 0.021 s
% 0.59/0.76 % (26960)Instructions burned: 34 (million)
% 0.59/0.76 % (26960)------------------------------
% 0.59/0.76 % (26960)------------------------------
% 0.59/0.76 % (26964)Instruction limit reached!
% 0.59/0.76 % (26964)------------------------------
% 0.59/0.76 % (26964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26964)Termination reason: Unknown
% 0.59/0.76 % (26964)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (26964)Memory used [KB]: 1240
% 0.59/0.76 % (26964)Time elapsed: 0.021 s
% 0.59/0.76 % (26964)Instructions burned: 34 (million)
% 0.59/0.76 % (26964)------------------------------
% 0.59/0.76 % (26964)------------------------------
% 0.59/0.76 % (26973)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.59/0.76 % (26961)Instruction limit reached!
% 0.59/0.76 % (26961)------------------------------
% 0.59/0.76 % (26961)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26961)Termination reason: Unknown
% 0.59/0.76 % (26961)Termination phase: Saturation
% 0.59/0.76
% 0.59/0.76 % (26961)Memory used [KB]: 1216
% 0.59/0.76 % (26961)Time elapsed: 0.025 s
% 0.59/0.76 % (26961)Instructions burned: 52 (million)
% 0.59/0.76 % (26961)------------------------------
% 0.59/0.76 % (26961)------------------------------
% 0.59/0.76 % (26974)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.59/0.76 % (26975)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.59/0.76 % (26973)Refutation not found, incomplete strategy% (26973)------------------------------
% 0.59/0.76 % (26973)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26973)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (26973)Memory used [KB]: 1045
% 0.59/0.76 % (26973)Time elapsed: 0.004 s
% 0.59/0.76 % (26973)Instructions burned: 3 (million)
% 0.59/0.76 % (26973)------------------------------
% 0.59/0.76 % (26973)------------------------------
% 0.59/0.76 % (26975)Refutation not found, incomplete strategy% (26975)------------------------------
% 0.59/0.76 % (26975)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.76 % (26975)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76
% 0.59/0.76 % (26975)Memory used [KB]: 1064
% 0.59/0.76 % (26975)Time elapsed: 0.004 s
% 0.59/0.76 % (26975)Instructions burned: 5 (million)
% 0.59/0.76 % (26975)------------------------------
% 0.59/0.76 % (26975)------------------------------
% 0.59/0.76 % (26976)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.59/0.77 % (26971)Instruction limit reached!
% 0.59/0.77 % (26971)------------------------------
% 0.59/0.77 % (26971)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (26971)Termination reason: Unknown
% 0.59/0.77 % (26971)Termination phase: Saturation
% 0.59/0.77
% 0.59/0.77 % (26971)Memory used [KB]: 1423
% 0.59/0.77 % (26971)Time elapsed: 0.014 s
% 0.59/0.77 % (26971)Instructions burned: 52 (million)
% 0.59/0.77 % (26971)------------------------------
% 0.59/0.77 % (26971)------------------------------
% 0.59/0.77 % (26977)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.59/0.77 % (26978)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.59/0.77 % (26976)Refutation not found, incomplete strategy% (26976)------------------------------
% 0.59/0.77 % (26976)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.77 % (26976)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.77
% 0.59/0.77 % (26976)Memory used [KB]: 1158
% 0.59/0.77 % (26976)Time elapsed: 0.009 s
% 0.59/0.77 % (26976)Instructions burned: 12 (million)
% 0.59/0.77 % (26976)------------------------------
% 0.59/0.77 % (26976)------------------------------
% 0.59/0.77 % (26979)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.59/0.78 % (26982)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.59/0.78 % (26962)Instruction limit reached!
% 0.59/0.78 % (26962)------------------------------
% 0.59/0.78 % (26962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (26962)Termination reason: Unknown
% 0.59/0.78 % (26962)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (26962)Memory used [KB]: 1607
% 0.59/0.78 % (26962)Time elapsed: 0.046 s
% 0.59/0.78 % (26962)Instructions burned: 79 (million)
% 0.59/0.78 % (26962)------------------------------
% 0.59/0.78 % (26962)------------------------------
% 0.59/0.78 % (26969)Instruction limit reached!
% 0.59/0.78 % (26969)------------------------------
% 0.59/0.78 % (26969)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (26969)Termination reason: Unknown
% 0.59/0.78 % (26969)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (26969)Memory used [KB]: 1530
% 0.59/0.78 % (26969)Time elapsed: 0.033 s
% 0.59/0.78 % (26969)Instructions burned: 50 (million)
% 0.59/0.78 % (26969)------------------------------
% 0.59/0.78 % (26969)------------------------------
% 0.59/0.78 % (26979)Instruction limit reached!
% 0.59/0.78 % (26979)------------------------------
% 0.59/0.78 % (26979)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (26979)Termination reason: Unknown
% 0.59/0.78 % (26979)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (26979)Memory used [KB]: 1384
% 0.59/0.78 % (26979)Time elapsed: 0.012 s
% 0.59/0.78 % (26979)Instructions burned: 32 (million)
% 0.59/0.78 % (26979)------------------------------
% 0.59/0.78 % (26979)------------------------------
% 0.59/0.79 % (26986)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.79 % (26990)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2995ds/46Mi)
% 0.59/0.79 % (26988)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2995ds/53Mi)
% 0.59/0.79 % (26986)Refutation not found, incomplete strategy% (26986)------------------------------
% 0.59/0.79 % (26986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (26986)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.79
% 0.59/0.79 % (26986)Memory used [KB]: 1153
% 0.59/0.79 % (26986)Time elapsed: 0.007 s
% 0.59/0.79 % (26986)Instructions burned: 9 (million)
% 0.59/0.79 % (26986)------------------------------
% 0.59/0.79 % (26986)------------------------------
% 0.59/0.80 % (26994)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2995ds/102Mi)
% 0.59/0.80 % (26990)Instruction limit reached!
% 0.59/0.80 % (26990)------------------------------
% 0.59/0.80 % (26990)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26990)Termination reason: Unknown
% 0.59/0.80 % (26990)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (26990)Memory used [KB]: 1320
% 0.59/0.80 % (26990)Time elapsed: 0.011 s
% 0.59/0.80 % (26990)Instructions burned: 46 (million)
% 0.59/0.80 % (26990)------------------------------
% 0.59/0.80 % (26990)------------------------------
% 0.59/0.80 % (26997)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2995ds/35Mi)
% 0.59/0.80 % (26977)Instruction limit reached!
% 0.59/0.80 % (26977)------------------------------
% 0.59/0.80 % (26977)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26977)Termination reason: Unknown
% 0.59/0.80 % (26977)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (26977)Memory used [KB]: 1233
% 0.59/0.80 % (26977)Time elapsed: 0.035 s
% 0.59/0.80 % (26977)Instructions burned: 93 (million)
% 0.59/0.80 % (26977)------------------------------
% 0.59/0.80 % (26977)------------------------------
% 0.59/0.80 % (26978)Instruction limit reached!
% 0.59/0.80 % (26978)------------------------------
% 0.59/0.80 % (26978)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.80 % (26978)Termination reason: Unknown
% 0.59/0.80 % (26978)Termination phase: Saturation
% 0.59/0.80
% 0.59/0.80 % (26978)Memory used [KB]: 1485
% 0.59/0.80 % (26978)Time elapsed: 0.036 s
% 0.59/0.80 % (26978)Instructions burned: 62 (million)
% 0.59/0.80 % (26978)------------------------------
% 0.59/0.80 % (26978)------------------------------
% 0.59/0.80 % (26999)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.59/0.81 % (27001)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.96/0.81 % (26997)Instruction limit reached!
% 0.96/0.81 % (26997)------------------------------
% 0.96/0.81 % (26997)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.81 % (26997)Termination reason: Unknown
% 0.96/0.81 % (26997)Termination phase: Saturation
% 0.96/0.81
% 0.96/0.81 % (26997)Memory used [KB]: 1200
% 0.96/0.81 % (26997)Time elapsed: 0.012 s
% 0.96/0.81 % (26997)Instructions burned: 37 (million)
% 0.96/0.81 % (26997)------------------------------
% 0.96/0.81 % (26997)------------------------------
% 0.96/0.81 % (27006)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.96/0.82 % (26988)Instruction limit reached!
% 0.96/0.82 % (26988)------------------------------
% 0.96/0.82 % (26988)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.82 % (26988)Termination reason: Unknown
% 0.96/0.82 % (26988)Termination phase: Saturation
% 0.96/0.82
% 0.96/0.82 % (26988)Memory used [KB]: 1340
% 0.96/0.82 % (26988)Time elapsed: 0.032 s
% 0.96/0.82 % (26988)Instructions burned: 54 (million)
% 0.96/0.82 % (26988)------------------------------
% 0.96/0.82 % (26988)------------------------------
% 0.96/0.82 % (27010)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.96/0.82 % (26982)First to succeed.
% 0.96/0.83 % (26982)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26950"
% 0.96/0.83 % (26982)Refutation found. Thanks to Tanya!
% 0.96/0.83 % SZS status Theorem for Vampire---4
% 0.96/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.96/0.83 % (26982)------------------------------
% 0.96/0.83 % (26982)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.96/0.83 % (26982)Termination reason: Refutation
% 0.96/0.83
% 0.96/0.83 % (26982)Memory used [KB]: 1556
% 0.96/0.83 % (26982)Time elapsed: 0.055 s
% 0.96/0.83 % (26982)Instructions burned: 82 (million)
% 0.96/0.83 % (26950)Success in time 0.449 s
% 0.96/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------