TSTP Solution File: MGT029+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT029+1 : TPTP v8.2.0. 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 : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:42:12 EDT 2024
% Result : Theorem 1.26s 0.89s
% Output : Refutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 87
% Syntax : Number of formulae : 362 ( 6 unt; 0 def)
% Number of atoms : 1199 ( 85 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 1422 ( 585 ~; 670 |; 84 &)
% ( 62 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 70 ( 68 usr; 62 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 139 ( 118 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1575,plain,
$false,
inference(avatar_sat_refutation,[],[f64,f69,f76,f89,f102,f146,f179,f239,f266,f267,f271,f287,f290,f327,f342,f348,f450,f455,f470,f514,f563,f573,f583,f585,f617,f619,f626,f634,f636,f653,f741,f812,f819,f838,f852,f859,f864,f923,f931,f944,f968,f986,f993,f998,f1008,f1018,f1042,f1077,f1083,f1085,f1092,f1099,f1100,f1123,f1126,f1133,f1176,f1307,f1312,f1363,f1406,f1434,f1457,f1489,f1526,f1535,f1558,f1561,f1562,f1563,f1565,f1570,f1573,f1574]) ).
fof(f1574,plain,
( sK2(sK3) != equilibrium(sK3)
| greater(sK4(sK2(sK3)),equilibrium(sK3))
| ~ greater(sK4(sK2(sK3)),sK2(sK3)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1573,plain,
( sK2(sK3) != equilibrium(sK3)
| sK1(sK3) != equilibrium(sK3)
| greater(sK4(sK2(sK3)),sK1(sK3))
| ~ greater(sK4(sK2(sK3)),sK2(sK3)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1570,plain,
( sK2(sK3) != equilibrium(sK3)
| greater(zero,growth_rate(efficient_producers,equilibrium(sK3)))
| ~ greater(zero,growth_rate(efficient_producers,sK2(sK3))) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1565,plain,
( sK2(sK3) != sK4(sK2(sK3))
| greater(sK4(sK2(sK3)),sK1(sK3))
| ~ greater(sK2(sK3),sK1(sK3)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1563,plain,
( zero != growth_rate(efficient_producers,sK4(sK2(sK3)))
| greater(zero,growth_rate(efficient_producers,sK4(sK2(sK3))))
| ~ greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1562,plain,
( zero != growth_rate(first_movers,sK2(sK3))
| greater(growth_rate(efficient_producers,sK2(sK3)),zero)
| ~ greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3))) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1561,plain,
( sK1(sK3) != sK4(sK1(sK3))
| greater(sK4(sK1(sK3)),equilibrium(sK3))
| ~ greater(sK1(sK3),equilibrium(sK3)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1558,plain,
( sK2(sK3) != sK4(sK2(sK3))
| greater(sK4(sK2(sK3)),equilibrium(sK3))
| ~ greater(sK2(sK3),equilibrium(sK3)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1535,plain,
( spl5_90
| ~ spl5_11
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1347,f555,f121,f920]) ).
fof(f920,plain,
( spl5_90
<=> greater(sK4(sK2(sK3)),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f121,plain,
( spl5_11
<=> greater(sK4(sK2(sK3)),sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f555,plain,
( spl5_62
<=> greater(sK2(sK3),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f1347,plain,
( greater(sK4(sK2(sK3)),sK1(sK3))
| ~ spl5_11
| ~ spl5_62 ),
inference(resolution,[],[f1131,f123]) ).
fof(f123,plain,
( greater(sK4(sK2(sK3)),sK2(sK3))
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f121]) ).
fof(f1131,plain,
( ! [X0] :
( ~ greater(X0,sK2(sK3))
| greater(X0,sK1(sK3)) )
| ~ spl5_62 ),
inference(resolution,[],[f557,f58]) ).
fof(f58,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| greater(X0,X2)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity) ).
fof(f557,plain,
( greater(sK2(sK3),sK1(sK3))
| ~ spl5_62 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f1526,plain,
( spl5_81
| ~ spl5_82
| ~ spl5_113 ),
inference(avatar_contradiction_clause,[],[f1525]) ).
fof(f1525,plain,
( $false
| spl5_81
| ~ spl5_82
| ~ spl5_113 ),
inference(subsumption_resolution,[],[f1524,f828]) ).
fof(f828,plain,
( ~ greater(zero,growth_rate(first_movers,sK4(sK2(sK3))))
| spl5_81 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f827,plain,
( spl5_81
<=> greater(zero,growth_rate(first_movers,sK4(sK2(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f1524,plain,
( greater(zero,growth_rate(first_movers,sK4(sK2(sK3))))
| ~ spl5_82
| ~ spl5_113 ),
inference(resolution,[],[f1403,f833]) ).
fof(f833,plain,
( greater(zero,growth_rate(efficient_producers,sK4(sK2(sK3))))
| ~ spl5_82 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f831,plain,
( spl5_82
<=> greater(zero,growth_rate(efficient_producers,sK4(sK2(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f1403,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sK4(sK2(sK3))))
| greater(X0,growth_rate(first_movers,sK4(sK2(sK3)))) )
| ~ spl5_113 ),
inference(resolution,[],[f1311,f58]) ).
fof(f1311,plain,
( greater(growth_rate(efficient_producers,sK4(sK2(sK3))),growth_rate(first_movers,sK4(sK2(sK3))))
| ~ spl5_113 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1309,plain,
( spl5_113
<=> greater(growth_rate(efficient_producers,sK4(sK2(sK3))),growth_rate(first_movers,sK4(sK2(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f1489,plain,
( ~ spl5_15
| ~ spl5_22
| ~ spl5_16
| ~ spl5_21 ),
inference(avatar_split_clause,[],[f1488,f185,f151,f189,f143]) ).
fof(f143,plain,
( spl5_15
<=> in_environment(sK3,equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f189,plain,
( spl5_22
<=> greater(zero,growth_rate(first_movers,equilibrium(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f151,plain,
( spl5_16
<=> equilibrium(sK3) = sK4(equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f185,plain,
( spl5_21
<=> greater(growth_rate(efficient_producers,equilibrium(sK3)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f1488,plain,
( ~ greater(zero,growth_rate(first_movers,equilibrium(sK3)))
| ~ in_environment(sK3,equilibrium(sK3))
| ~ spl5_16
| ~ spl5_21 ),
inference(subsumption_resolution,[],[f1267,f186]) ).
fof(f186,plain,
( greater(growth_rate(efficient_producers,equilibrium(sK3)),zero)
| ~ spl5_21 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f1267,plain,
( ~ greater(zero,growth_rate(first_movers,equilibrium(sK3)))
| ~ greater(growth_rate(efficient_producers,equilibrium(sK3)),zero)
| ~ in_environment(sK3,equilibrium(sK3))
| ~ spl5_16 ),
inference(superposition,[],[f53,f153]) ).
fof(f153,plain,
( equilibrium(sK3) = sK4(equilibrium(sK3))
| ~ spl5_16 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f53,plain,
! [X1] :
( ~ greater(zero,growth_rate(first_movers,sK4(X1)))
| ~ greater(growth_rate(efficient_producers,sK4(X1)),zero)
| ~ in_environment(sK3,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ! [X1] :
( ( ( ~ greater(zero,growth_rate(first_movers,sK4(X1)))
| ~ greater(growth_rate(efficient_producers,sK4(X1)),zero) )
& greater_or_equal(sK4(X1),X1)
& subpopulations(first_movers,efficient_producers,sK3,sK4(X1)) )
| ~ in_environment(sK3,X1) )
& stable(sK3)
& environment(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f21,f35,f34]) ).
fof(f34,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ( ~ greater(zero,growth_rate(first_movers,X2))
| ~ greater(growth_rate(efficient_producers,X2),zero) )
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) )
=> ( ! [X1] :
( ? [X2] :
( ( ~ greater(zero,growth_rate(first_movers,X2))
| ~ greater(growth_rate(efficient_producers,X2),zero) )
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK3,X2) )
| ~ in_environment(sK3,X1) )
& stable(sK3)
& environment(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X1] :
( ? [X2] :
( ( ~ greater(zero,growth_rate(first_movers,X2))
| ~ greater(growth_rate(efficient_producers,X2),zero) )
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,sK3,X2) )
=> ( ( ~ greater(zero,growth_rate(first_movers,sK4(X1)))
| ~ greater(growth_rate(efficient_producers,sK4(X1)),zero) )
& greater_or_equal(sK4(X1),X1)
& subpopulations(first_movers,efficient_producers,sK3,sK4(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ( ~ greater(zero,growth_rate(first_movers,X2))
| ~ greater(growth_rate(efficient_producers,X2),zero) )
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ( ~ greater(zero,growth_rate(first_movers,X2))
| ~ greater(growth_rate(efficient_producers,X2),zero) )
& greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
| ~ in_environment(X0,X1) )
& stable(X0)
& environment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,plain,
~ ! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( greater(zero,growth_rate(first_movers,X2))
& greater(growth_rate(efficient_producers,X2),zero) ) )
& in_environment(X0,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,negated_conjecture,
~ ! [X3] :
( ( stable(X3)
& environment(X3) )
=> ? [X7] :
( ! [X6] :
( ( greater_or_equal(X6,X7)
& subpopulations(first_movers,efficient_producers,X3,X6) )
=> ( greater(zero,growth_rate(first_movers,X6))
& greater(growth_rate(efficient_producers,X6),zero) ) )
& in_environment(X3,X7) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
! [X3] :
( ( stable(X3)
& environment(X3) )
=> ? [X7] :
( ! [X6] :
( ( greater_or_equal(X6,X7)
& subpopulations(first_movers,efficient_producers,X3,X6) )
=> ( greater(zero,growth_rate(first_movers,X6))
& greater(growth_rate(efficient_producers,X6),zero) ) )
& in_environment(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l11) ).
fof(f1457,plain,
( spl5_22
| ~ spl5_27
| ~ spl5_34 ),
inference(avatar_contradiction_clause,[],[f1456]) ).
fof(f1456,plain,
( $false
| spl5_22
| ~ spl5_27
| ~ spl5_34 ),
inference(subsumption_resolution,[],[f1455,f191]) ).
fof(f191,plain,
( ~ greater(zero,growth_rate(first_movers,equilibrium(sK3)))
| spl5_22 ),
inference(avatar_component_clause,[],[f189]) ).
fof(f1455,plain,
( greater(zero,growth_rate(first_movers,equilibrium(sK3)))
| ~ spl5_27
| ~ spl5_34 ),
inference(resolution,[],[f519,f309]) ).
fof(f309,plain,
( greater(zero,growth_rate(efficient_producers,equilibrium(sK3)))
| ~ spl5_34 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl5_34
<=> greater(zero,growth_rate(efficient_producers,equilibrium(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f519,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,equilibrium(sK3)))
| greater(X0,growth_rate(first_movers,equilibrium(sK3))) )
| ~ spl5_27 ),
inference(resolution,[],[f238,f58]) ).
fof(f238,plain,
( greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3)))
| ~ spl5_27 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f236,plain,
( spl5_27
<=> greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f1434,plain,
( ~ spl5_85
| ~ spl5_5
| ~ spl5_81 ),
inference(avatar_split_clause,[],[f1433,f827,f86,f847]) ).
fof(f847,plain,
( spl5_85
<=> greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f86,plain,
( spl5_5
<=> in_environment(sK3,sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f1433,plain,
( ~ greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero)
| ~ spl5_5
| ~ spl5_81 ),
inference(subsumption_resolution,[],[f1430,f88]) ).
fof(f88,plain,
( in_environment(sK3,sK2(sK3))
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f1430,plain,
( ~ greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero)
| ~ in_environment(sK3,sK2(sK3))
| ~ spl5_81 ),
inference(resolution,[],[f829,f53]) ).
fof(f829,plain,
( greater(zero,growth_rate(first_movers,sK4(sK2(sK3))))
| ~ spl5_81 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f1406,plain,
( ~ spl5_84
| spl5_85
| ~ spl5_113 ),
inference(avatar_contradiction_clause,[],[f1405]) ).
fof(f1405,plain,
( $false
| ~ spl5_84
| spl5_85
| ~ spl5_113 ),
inference(subsumption_resolution,[],[f1402,f848]) ).
fof(f848,plain,
( ~ greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero)
| spl5_85 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f1402,plain,
( greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero)
| ~ spl5_84
| ~ spl5_113 ),
inference(resolution,[],[f1311,f1329]) ).
fof(f1329,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(first_movers,sK4(sK2(sK3))))
| greater(X0,zero) )
| ~ spl5_84 ),
inference(resolution,[],[f843,f58]) ).
fof(f843,plain,
( greater(growth_rate(first_movers,sK4(sK2(sK3))),zero)
| ~ spl5_84 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f841,plain,
( spl5_84
<=> greater(growth_rate(first_movers,sK4(sK2(sK3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f1363,plain,
( spl5_21
| ~ spl5_27
| ~ spl5_29 ),
inference(avatar_split_clause,[],[f1358,f251,f236,f185]) ).
fof(f251,plain,
( spl5_29
<=> greater(growth_rate(first_movers,equilibrium(sK3)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f1358,plain,
( greater(growth_rate(efficient_producers,equilibrium(sK3)),zero)
| ~ spl5_27
| ~ spl5_29 ),
inference(resolution,[],[f1155,f238]) ).
fof(f1155,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(first_movers,equilibrium(sK3)))
| greater(X0,zero) )
| ~ spl5_29 ),
inference(resolution,[],[f253,f58]) ).
fof(f253,plain,
( greater(growth_rate(first_movers,equilibrium(sK3)),zero)
| ~ spl5_29 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f1312,plain,
( spl5_113
| ~ spl5_1
| ~ spl5_2
| ~ spl5_5
| ~ spl5_109 ),
inference(avatar_split_clause,[],[f1304,f1173,f86,f66,f61,f1309]) ).
fof(f61,plain,
( spl5_1
<=> stable(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f66,plain,
( spl5_2
<=> environment(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f1173,plain,
( spl5_109
<=> greater_or_equal(sK4(sK2(sK3)),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_109])]) ).
fof(f1304,plain,
( greater(growth_rate(efficient_producers,sK4(sK2(sK3))),growth_rate(first_movers,sK4(sK2(sK3))))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_5
| ~ spl5_109 ),
inference(subsumption_resolution,[],[f1302,f88]) ).
fof(f1302,plain,
( greater(growth_rate(efficient_producers,sK4(sK2(sK3))),growth_rate(first_movers,sK4(sK2(sK3))))
| ~ in_environment(sK3,sK2(sK3))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_109 ),
inference(resolution,[],[f1175,f229]) ).
fof(f229,plain,
( ! [X0] :
( ~ greater_or_equal(sK4(X0),sK1(sK3))
| greater(growth_rate(efficient_producers,sK4(X0)),growth_rate(first_movers,sK4(X0)))
| ~ in_environment(sK3,X0) )
| ~ spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f228,f68]) ).
fof(f68,plain,
( environment(sK3)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f228,plain,
( ! [X0] :
( ~ greater_or_equal(sK4(X0),sK1(sK3))
| greater(growth_rate(efficient_producers,sK4(X0)),growth_rate(first_movers,sK4(X0)))
| ~ environment(sK3)
| ~ in_environment(sK3,X0) )
| ~ spl5_1 ),
inference(subsumption_resolution,[],[f226,f63]) ).
fof(f63,plain,
( stable(sK3)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f226,plain,
! [X0] :
( ~ greater_or_equal(sK4(X0),sK1(sK3))
| greater(growth_rate(efficient_producers,sK4(X0)),growth_rate(first_movers,sK4(X0)))
| ~ stable(sK3)
| ~ environment(sK3)
| ~ in_environment(sK3,X0) ),
inference(resolution,[],[f46,f51]) ).
fof(f51,plain,
! [X1] :
( subpopulations(first_movers,efficient_producers,sK3,sK4(X1))
| ~ in_environment(sK3,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f46,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater_or_equal(X2,sK1(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ stable(X0)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK1(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK1(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f17,f30]) ).
fof(f30,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
=> ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,sK1(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater_or_equal(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( ! [X2] :
( ( greater_or_equal(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& in_environment(X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3] :
( ( stable(X3)
& environment(X3) )
=> ? [X7] :
( ! [X6] :
( ( greater_or_equal(X6,X7)
& subpopulations(first_movers,efficient_producers,X3,X6) )
=> greater(growth_rate(efficient_producers,X6),growth_rate(first_movers,X6)) )
& in_environment(X3,X7) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
fof(f1175,plain,
( greater_or_equal(sK4(sK2(sK3)),sK1(sK3))
| ~ spl5_109 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1307,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_5
| spl5_85
| ~ spl5_87
| ~ spl5_109 ),
inference(avatar_contradiction_clause,[],[f1306]) ).
fof(f1306,plain,
( $false
| ~ spl5_1
| ~ spl5_2
| ~ spl5_5
| spl5_85
| ~ spl5_87
| ~ spl5_109 ),
inference(subsumption_resolution,[],[f1305,f848]) ).
fof(f1305,plain,
( greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero)
| ~ spl5_1
| ~ spl5_2
| ~ spl5_5
| ~ spl5_87
| ~ spl5_109 ),
inference(forward_demodulation,[],[f1304,f863]) ).
fof(f863,plain,
( zero = growth_rate(first_movers,sK4(sK2(sK3)))
| ~ spl5_87 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl5_87
<=> zero = growth_rate(first_movers,sK4(sK2(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f1176,plain,
( spl5_109
| ~ spl5_90 ),
inference(avatar_split_clause,[],[f1171,f920,f1173]) ).
fof(f1171,plain,
( greater_or_equal(sK4(sK2(sK3)),sK1(sK3))
| ~ spl5_90 ),
inference(resolution,[],[f922,f55]) ).
fof(f55,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,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,[],[f37]) ).
fof(f37,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,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( greater_or_equal(X0,X1)
<=> ( X0 = X1
| greater(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f922,plain,
( greater(sK4(sK2(sK3)),sK1(sK3))
| ~ spl5_90 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f1133,plain,
( spl5_50
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f1132,f555,f440]) ).
fof(f440,plain,
( spl5_50
<=> greater_or_equal(sK2(sK3),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f1132,plain,
( greater_or_equal(sK2(sK3),sK1(sK3))
| ~ spl5_62 ),
inference(resolution,[],[f557,f55]) ).
fof(f1126,plain,
( spl5_33
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f1125,f209,f284]) ).
fof(f284,plain,
( spl5_33
<=> greater_or_equal(equilibrium(sK3),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f209,plain,
( spl5_25
<=> greater(equilibrium(sK3),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f1125,plain,
( greater_or_equal(equilibrium(sK3),sK1(sK3))
| ~ spl5_25 ),
inference(resolution,[],[f211,f55]) ).
fof(f211,plain,
( greater(equilibrium(sK3),sK1(sK3))
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f1123,plain,
( spl5_25
| spl5_26
| ~ spl5_3
| ~ spl5_15
| spl5_24 ),
inference(avatar_split_clause,[],[f1122,f205,f143,f73,f213,f209]) ).
fof(f213,plain,
( spl5_26
<=> greater(sK1(sK3),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f73,plain,
( spl5_3
<=> in_environment(sK3,sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f205,plain,
( spl5_24
<=> sK1(sK3) = equilibrium(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f1122,plain,
( greater(sK1(sK3),equilibrium(sK3))
| greater(equilibrium(sK3),sK1(sK3))
| ~ spl5_3
| ~ spl5_15
| spl5_24 ),
inference(subsumption_resolution,[],[f1119,f206]) ).
fof(f206,plain,
( sK1(sK3) != equilibrium(sK3)
| spl5_24 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f1119,plain,
( greater(sK1(sK3),equilibrium(sK3))
| greater(equilibrium(sK3),sK1(sK3))
| sK1(sK3) = equilibrium(sK3)
| ~ spl5_3
| ~ spl5_15 ),
inference(resolution,[],[f145,f199]) ).
fof(f199,plain,
( ! [X0] :
( ~ in_environment(sK3,X0)
| greater(sK1(sK3),X0)
| greater(X0,sK1(sK3))
| sK1(sK3) = X0 )
| ~ spl5_3 ),
inference(resolution,[],[f57,f75]) ).
fof(f75,plain,
( in_environment(sK3,sK1(sK3))
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ in_environment(X0,X2)
| X1 = X2
| greater(X2,X1)
| greater(X1,X2)
| ~ in_environment(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2] :
( greater(X1,X2)
| X1 = X2
| greater(X2,X1)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1,X2] :
( greater(X1,X2)
| X1 = X2
| greater(X2,X1)
| ~ in_environment(X0,X2)
| ~ in_environment(X0,X1) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ( in_environment(X0,X2)
& in_environment(X0,X1) )
=> ( greater(X1,X2)
| X1 = X2
| greater(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3,X4,X5] :
( ( in_environment(X3,X5)
& in_environment(X3,X4) )
=> ( greater(X4,X5)
| X4 = X5
| greater(X5,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_environment) ).
fof(f145,plain,
( in_environment(sK3,equilibrium(sK3))
| ~ spl5_15 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f1100,plain,
( sK1(sK3) != sK2(sK3)
| greater_or_equal(sK1(sK3),equilibrium(sK3))
| ~ greater_or_equal(sK2(sK3),equilibrium(sK3)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1099,plain,
( sK1(sK3) != sK2(sK3)
| sK1(sK3) != equilibrium(sK3)
| sK2(sK3) = equilibrium(sK3) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f1092,plain,
( spl5_37
| ~ spl5_49
| ~ spl5_51 ),
inference(avatar_split_clause,[],[f1091,f447,f436,f339]) ).
fof(f339,plain,
( spl5_37
<=> greater(zero,growth_rate(first_movers,sK2(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f436,plain,
( spl5_49
<=> greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f447,plain,
( spl5_51
<=> zero = growth_rate(efficient_producers,sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f1091,plain,
( greater(zero,growth_rate(first_movers,sK2(sK3)))
| ~ spl5_49
| ~ spl5_51 ),
inference(forward_demodulation,[],[f438,f449]) ).
fof(f449,plain,
( zero = growth_rate(efficient_producers,sK2(sK3))
| ~ spl5_51 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f438,plain,
( greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3)))
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f1085,plain,
( spl5_63
| spl5_62
| ~ spl5_3
| ~ spl5_5
| spl5_61 ),
inference(avatar_split_clause,[],[f1084,f551,f86,f73,f555,f559]) ).
fof(f559,plain,
( spl5_63
<=> greater(sK1(sK3),sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f551,plain,
( spl5_61
<=> sK1(sK3) = sK2(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f1084,plain,
( greater(sK2(sK3),sK1(sK3))
| greater(sK1(sK3),sK2(sK3))
| ~ spl5_3
| ~ spl5_5
| spl5_61 ),
inference(subsumption_resolution,[],[f791,f552]) ).
fof(f552,plain,
( sK1(sK3) != sK2(sK3)
| spl5_61 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f791,plain,
( greater(sK2(sK3),sK1(sK3))
| greater(sK1(sK3),sK2(sK3))
| sK1(sK3) = sK2(sK3)
| ~ spl5_3
| ~ spl5_5 ),
inference(resolution,[],[f292,f75]) ).
fof(f292,plain,
( ! [X0] :
( ~ in_environment(sK3,X0)
| greater(sK2(sK3),X0)
| greater(X0,sK2(sK3))
| sK2(sK3) = X0 )
| ~ spl5_5 ),
inference(resolution,[],[f88,f57]) ).
fof(f1083,plain,
( spl5_26
| spl5_24
| ~ spl5_39 ),
inference(avatar_split_clause,[],[f1082,f362,f205,f213]) ).
fof(f362,plain,
( spl5_39
<=> greater_or_equal(sK1(sK3),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f1082,plain,
( greater(sK1(sK3),equilibrium(sK3))
| spl5_24
| ~ spl5_39 ),
inference(subsumption_resolution,[],[f650,f206]) ).
fof(f650,plain,
( greater(sK1(sK3),equilibrium(sK3))
| sK1(sK3) = equilibrium(sK3)
| ~ spl5_39 ),
inference(resolution,[],[f363,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f363,plain,
( greater_or_equal(sK1(sK3),equilibrium(sK3))
| ~ spl5_39 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f1077,plain,
( ~ spl5_57
| ~ spl5_97
| spl5_98 ),
inference(avatar_contradiction_clause,[],[f1076]) ).
fof(f1076,plain,
( $false
| ~ spl5_57
| ~ spl5_97
| spl5_98 ),
inference(subsumption_resolution,[],[f1074,f978]) ).
fof(f978,plain,
( ~ greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero)
| spl5_98 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f977,plain,
( spl5_98
<=> greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_98])]) ).
fof(f1074,plain,
( greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero)
| ~ spl5_57
| ~ spl5_97 ),
inference(resolution,[],[f1019,f513]) ).
fof(f513,plain,
( greater(growth_rate(efficient_producers,sK4(sK1(sK3))),growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_57 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f511,plain,
( spl5_57
<=> greater(growth_rate(efficient_producers,sK4(sK1(sK3))),growth_rate(first_movers,sK4(sK1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f1019,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(first_movers,sK4(sK1(sK3))))
| greater(X0,zero) )
| ~ spl5_97 ),
inference(resolution,[],[f973,f58]) ).
fof(f973,plain,
( greater(growth_rate(first_movers,sK4(sK1(sK3))),zero)
| ~ spl5_97 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f971,plain,
( spl5_97
<=> greater(growth_rate(first_movers,sK4(sK1(sK3))),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_97])]) ).
fof(f1042,plain,
( ~ spl5_57
| spl5_98
| ~ spl5_101 ),
inference(avatar_contradiction_clause,[],[f1041]) ).
fof(f1041,plain,
( $false
| ~ spl5_57
| spl5_98
| ~ spl5_101 ),
inference(subsumption_resolution,[],[f1036,f978]) ).
fof(f1036,plain,
( greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero)
| ~ spl5_57
| ~ spl5_101 ),
inference(backward_demodulation,[],[f513,f997]) ).
fof(f997,plain,
( zero = growth_rate(first_movers,sK4(sK1(sK3)))
| ~ spl5_101 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f995,plain,
( spl5_101
<=> zero = growth_rate(first_movers,sK4(sK1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_101])]) ).
fof(f1018,plain,
( ~ spl5_98
| ~ spl5_3
| ~ spl5_95 ),
inference(avatar_split_clause,[],[f1014,f961,f73,f977]) ).
fof(f961,plain,
( spl5_95
<=> greater(zero,growth_rate(first_movers,sK4(sK1(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f1014,plain,
( ~ greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero)
| ~ spl5_3
| ~ spl5_95 ),
inference(subsumption_resolution,[],[f1011,f75]) ).
fof(f1011,plain,
( ~ greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero)
| ~ in_environment(sK3,sK1(sK3))
| ~ spl5_95 ),
inference(resolution,[],[f963,f53]) ).
fof(f963,plain,
( greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_95 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f1008,plain,
( spl5_95
| ~ spl5_57
| ~ spl5_100 ),
inference(avatar_split_clause,[],[f1002,f990,f511,f961]) ).
fof(f990,plain,
( spl5_100
<=> zero = growth_rate(efficient_producers,sK4(sK1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_100])]) ).
fof(f1002,plain,
( greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_57
| ~ spl5_100 ),
inference(backward_demodulation,[],[f513,f992]) ).
fof(f992,plain,
( zero = growth_rate(efficient_producers,sK4(sK1(sK3)))
| ~ spl5_100 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f998,plain,
( spl5_101
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f988,f965,f995]) ).
fof(f965,plain,
( spl5_96
<=> sP0(sK4(sK1(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_96])]) ).
fof(f988,plain,
( zero = growth_rate(first_movers,sK4(sK1(sK3)))
| ~ spl5_96 ),
inference(resolution,[],[f967,f39]) ).
fof(f39,plain,
! [X0] :
( ~ sP0(X0)
| zero = growth_rate(first_movers,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ( zero = growth_rate(efficient_producers,X0)
& zero = growth_rate(first_movers,X0) )
| ~ sP0(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1] :
( ( zero = growth_rate(efficient_producers,X1)
& zero = growth_rate(first_movers,X1) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X1] :
( ( zero = growth_rate(efficient_producers,X1)
& zero = growth_rate(first_movers,X1) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f967,plain,
( sP0(sK4(sK1(sK3)))
| ~ spl5_96 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f993,plain,
( spl5_100
| ~ spl5_96 ),
inference(avatar_split_clause,[],[f987,f965,f990]) ).
fof(f987,plain,
( zero = growth_rate(efficient_producers,sK4(sK1(sK3)))
| ~ spl5_96 ),
inference(resolution,[],[f967,f40]) ).
fof(f40,plain,
! [X0] :
( ~ sP0(X0)
| zero = growth_rate(efficient_producers,X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f986,plain,
( spl5_98
| spl5_97
| spl5_96
| ~ spl5_2
| ~ spl5_3
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f985,f941,f73,f66,f965,f971,f977]) ).
fof(f941,plain,
( spl5_93
<=> greater_or_equal(sK4(sK1(sK3)),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f985,plain,
( sP0(sK4(sK1(sK3)))
| greater(growth_rate(first_movers,sK4(sK1(sK3))),zero)
| greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero)
| ~ spl5_2
| ~ spl5_3
| ~ spl5_93 ),
inference(subsumption_resolution,[],[f956,f75]) ).
fof(f956,plain,
( sP0(sK4(sK1(sK3)))
| greater(growth_rate(first_movers,sK4(sK1(sK3))),zero)
| greater(growth_rate(efficient_producers,sK4(sK1(sK3))),zero)
| ~ in_environment(sK3,sK1(sK3))
| ~ spl5_2
| ~ spl5_93 ),
inference(resolution,[],[f943,f242]) ).
fof(f242,plain,
( ! [X0] :
( ~ greater_or_equal(sK4(X0),equilibrium(sK3))
| sP0(sK4(X0))
| greater(growth_rate(first_movers,sK4(X0)),zero)
| greater(growth_rate(efficient_producers,sK4(X0)),zero)
| ~ in_environment(sK3,X0) )
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f240,f68]) ).
fof(f240,plain,
! [X0] :
( greater(growth_rate(first_movers,sK4(X0)),zero)
| sP0(sK4(X0))
| ~ greater_or_equal(sK4(X0),equilibrium(sK3))
| greater(growth_rate(efficient_producers,sK4(X0)),zero)
| ~ environment(sK3)
| ~ in_environment(sK3,X0) ),
inference(resolution,[],[f41,f51]) ).
fof(f41,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(growth_rate(first_movers,X1),zero)
| sP0(X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(growth_rate(efficient_producers,X1),zero)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) )
| sP0(X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(definition_folding,[],[f15,f26]) ).
fof(f15,plain,
! [X0,X1] :
( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) )
| ( zero = growth_rate(efficient_producers,X1)
& zero = growth_rate(first_movers,X1) )
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) )
| ( zero = growth_rate(efficient_producers,X1)
& zero = growth_rate(first_movers,X1) )
| ~ greater_or_equal(X1,equilibrium(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( ( greater_or_equal(X1,equilibrium(X0))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ( greater(zero,growth_rate(first_movers,X1))
& greater(growth_rate(efficient_producers,X1),zero) )
| ( greater(zero,growth_rate(efficient_producers,X1))
& greater(growth_rate(first_movers,X1),zero) )
| ( zero = growth_rate(efficient_producers,X1)
& zero = growth_rate(first_movers,X1) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3,X6] :
( ( greater_or_equal(X6,equilibrium(X3))
& subpopulations(first_movers,efficient_producers,X3,X6)
& environment(X3) )
=> ( ( greater(zero,growth_rate(first_movers,X6))
& greater(growth_rate(efficient_producers,X6),zero) )
| ( greater(zero,growth_rate(efficient_producers,X6))
& greater(growth_rate(first_movers,X6),zero) )
| ( zero = growth_rate(efficient_producers,X6)
& growth_rate(first_movers,X6) = zero ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6) ).
fof(f943,plain,
( greater_or_equal(sK4(sK1(sK3)),equilibrium(sK3))
| ~ spl5_93 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f968,plain,
( spl5_95
| spl5_96
| ~ spl5_2
| ~ spl5_3
| ~ spl5_57
| ~ spl5_93 ),
inference(avatar_split_clause,[],[f959,f941,f511,f73,f66,f965,f961]) ).
fof(f959,plain,
( sP0(sK4(sK1(sK3)))
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_2
| ~ spl5_3
| ~ spl5_57
| ~ spl5_93 ),
inference(subsumption_resolution,[],[f958,f539]) ).
fof(f539,plain,
( ! [X0] :
( ~ greater(X0,growth_rate(efficient_producers,sK4(sK1(sK3))))
| greater(X0,growth_rate(first_movers,sK4(sK1(sK3)))) )
| ~ spl5_57 ),
inference(resolution,[],[f513,f58]) ).
fof(f958,plain,
( sP0(sK4(sK1(sK3)))
| greater(zero,growth_rate(efficient_producers,sK4(sK1(sK3))))
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_2
| ~ spl5_3
| ~ spl5_93 ),
inference(subsumption_resolution,[],[f953,f75]) ).
fof(f953,plain,
( sP0(sK4(sK1(sK3)))
| greater(zero,growth_rate(efficient_producers,sK4(sK1(sK3))))
| greater(zero,growth_rate(first_movers,sK4(sK1(sK3))))
| ~ in_environment(sK3,sK1(sK3))
| ~ spl5_2
| ~ spl5_93 ),
inference(resolution,[],[f943,f471]) ).
fof(f471,plain,
( ! [X0] :
( ~ greater_or_equal(sK4(X0),equilibrium(sK3))
| sP0(sK4(X0))
| greater(zero,growth_rate(efficient_producers,sK4(X0)))
| greater(zero,growth_rate(first_movers,sK4(X0)))
| ~ in_environment(sK3,X0) )
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f466,f68]) ).
fof(f466,plain,
! [X0] :
( greater(zero,growth_rate(efficient_producers,sK4(X0)))
| sP0(sK4(X0))
| ~ greater_or_equal(sK4(X0),equilibrium(sK3))
| greater(zero,growth_rate(first_movers,sK4(X0)))
| ~ environment(sK3)
| ~ in_environment(sK3,X0) ),
inference(resolution,[],[f44,f51]) ).
fof(f44,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(zero,growth_rate(efficient_producers,X1))
| sP0(X1)
| ~ greater_or_equal(X1,equilibrium(X0))
| greater(zero,growth_rate(first_movers,X1))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f944,plain,
( spl5_93
| ~ spl5_91 ),
inference(avatar_split_clause,[],[f939,f928,f941]) ).
fof(f928,plain,
( spl5_91
<=> greater(sK4(sK1(sK3)),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f939,plain,
( greater_or_equal(sK4(sK1(sK3)),equilibrium(sK3))
| ~ spl5_91 ),
inference(resolution,[],[f930,f55]) ).
fof(f930,plain,
( greater(sK4(sK1(sK3)),equilibrium(sK3))
| ~ spl5_91 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f931,plain,
( spl5_91
| ~ spl5_9
| ~ spl5_26 ),
inference(avatar_split_clause,[],[f926,f213,f112,f928]) ).
fof(f112,plain,
( spl5_9
<=> greater(sK4(sK1(sK3)),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f926,plain,
( greater(sK4(sK1(sK3)),equilibrium(sK3))
| ~ spl5_9
| ~ spl5_26 ),
inference(resolution,[],[f639,f114]) ).
fof(f114,plain,
( greater(sK4(sK1(sK3)),sK1(sK3))
| ~ spl5_9 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f639,plain,
( ! [X0] :
( ~ greater(X0,sK1(sK3))
| greater(X0,equilibrium(sK3)) )
| ~ spl5_26 ),
inference(resolution,[],[f215,f58]) ).
fof(f215,plain,
( greater(sK1(sK3),equilibrium(sK3))
| ~ spl5_26 ),
inference(avatar_component_clause,[],[f213]) ).
fof(f923,plain,
( spl5_90
| ~ spl5_25
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f910,f809,f209,f920]) ).
fof(f809,plain,
( spl5_79
<=> greater(sK4(sK2(sK3)),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f910,plain,
( greater(sK4(sK2(sK3)),sK1(sK3))
| ~ spl5_25
| ~ spl5_79 ),
inference(resolution,[],[f622,f811]) ).
fof(f811,plain,
( greater(sK4(sK2(sK3)),equilibrium(sK3))
| ~ spl5_79 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f622,plain,
( ! [X0] :
( ~ greater(X0,equilibrium(sK3))
| greater(X0,sK1(sK3)) )
| ~ spl5_25 ),
inference(resolution,[],[f211,f58]) ).
fof(f864,plain,
( spl5_87
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f854,f835,f861]) ).
fof(f835,plain,
( spl5_83
<=> sP0(sK4(sK2(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f854,plain,
( zero = growth_rate(first_movers,sK4(sK2(sK3)))
| ~ spl5_83 ),
inference(resolution,[],[f837,f39]) ).
fof(f837,plain,
( sP0(sK4(sK2(sK3)))
| ~ spl5_83 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f859,plain,
( spl5_86
| ~ spl5_83 ),
inference(avatar_split_clause,[],[f853,f835,f856]) ).
fof(f856,plain,
( spl5_86
<=> zero = growth_rate(efficient_producers,sK4(sK2(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f853,plain,
( zero = growth_rate(efficient_producers,sK4(sK2(sK3)))
| ~ spl5_83 ),
inference(resolution,[],[f837,f40]) ).
fof(f852,plain,
( spl5_85
| spl5_84
| spl5_83
| ~ spl5_2
| ~ spl5_5
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f851,f816,f86,f66,f835,f841,f847]) ).
fof(f816,plain,
( spl5_80
<=> greater_or_equal(sK4(sK2(sK3)),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f851,plain,
( sP0(sK4(sK2(sK3)))
| greater(growth_rate(first_movers,sK4(sK2(sK3))),zero)
| greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero)
| ~ spl5_2
| ~ spl5_5
| ~ spl5_80 ),
inference(subsumption_resolution,[],[f823,f88]) ).
fof(f823,plain,
( sP0(sK4(sK2(sK3)))
| greater(growth_rate(first_movers,sK4(sK2(sK3))),zero)
| greater(growth_rate(efficient_producers,sK4(sK2(sK3))),zero)
| ~ in_environment(sK3,sK2(sK3))
| ~ spl5_2
| ~ spl5_80 ),
inference(resolution,[],[f818,f242]) ).
fof(f818,plain,
( greater_or_equal(sK4(sK2(sK3)),equilibrium(sK3))
| ~ spl5_80 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f838,plain,
( spl5_81
| spl5_82
| spl5_83
| ~ spl5_2
| ~ spl5_5
| ~ spl5_80 ),
inference(avatar_split_clause,[],[f825,f816,f86,f66,f835,f831,f827]) ).
fof(f825,plain,
( sP0(sK4(sK2(sK3)))
| greater(zero,growth_rate(efficient_producers,sK4(sK2(sK3))))
| greater(zero,growth_rate(first_movers,sK4(sK2(sK3))))
| ~ spl5_2
| ~ spl5_5
| ~ spl5_80 ),
inference(subsumption_resolution,[],[f820,f88]) ).
fof(f820,plain,
( sP0(sK4(sK2(sK3)))
| greater(zero,growth_rate(efficient_producers,sK4(sK2(sK3))))
| greater(zero,growth_rate(first_movers,sK4(sK2(sK3))))
| ~ in_environment(sK3,sK2(sK3))
| ~ spl5_2
| ~ spl5_80 ),
inference(resolution,[],[f818,f471]) ).
fof(f819,plain,
( spl5_80
| ~ spl5_79 ),
inference(avatar_split_clause,[],[f814,f809,f816]) ).
fof(f814,plain,
( greater_or_equal(sK4(sK2(sK3)),equilibrium(sK3))
| ~ spl5_79 ),
inference(resolution,[],[f811,f55]) ).
fof(f812,plain,
( spl5_79
| ~ spl5_11
| ~ spl5_13 ),
inference(avatar_split_clause,[],[f807,f130,f121,f809]) ).
fof(f130,plain,
( spl5_13
<=> greater(sK2(sK3),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f807,plain,
( greater(sK4(sK2(sK3)),equilibrium(sK3))
| ~ spl5_11
| ~ spl5_13 ),
inference(resolution,[],[f637,f123]) ).
fof(f637,plain,
( ! [X0] :
( ~ greater(X0,sK2(sK3))
| greater(X0,equilibrium(sK3)) )
| ~ spl5_13 ),
inference(resolution,[],[f132,f58]) ).
fof(f132,plain,
( greater(sK2(sK3),equilibrium(sK3))
| ~ spl5_13 ),
inference(avatar_component_clause,[],[f130]) ).
fof(f741,plain,
( spl5_49
| ~ spl5_1
| ~ spl5_2
| ~ spl5_38
| ~ spl5_50 ),
inference(avatar_split_clause,[],[f740,f440,f345,f66,f61,f436]) ).
fof(f345,plain,
( spl5_38
<=> subpopulations(first_movers,efficient_producers,sK3,sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f740,plain,
( greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3)))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_38
| ~ spl5_50 ),
inference(subsumption_resolution,[],[f739,f68]) ).
fof(f739,plain,
( greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3)))
| ~ environment(sK3)
| ~ spl5_1
| ~ spl5_38
| ~ spl5_50 ),
inference(subsumption_resolution,[],[f738,f63]) ).
fof(f738,plain,
( greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3)))
| ~ stable(sK3)
| ~ environment(sK3)
| ~ spl5_38
| ~ spl5_50 ),
inference(subsumption_resolution,[],[f729,f441]) ).
fof(f441,plain,
( greater_or_equal(sK2(sK3),sK1(sK3))
| ~ spl5_50 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f729,plain,
( ~ greater_or_equal(sK2(sK3),sK1(sK3))
| greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3)))
| ~ stable(sK3)
| ~ environment(sK3)
| ~ spl5_38 ),
inference(resolution,[],[f347,f46]) ).
fof(f347,plain,
( subpopulations(first_movers,efficient_producers,sK3,sK2(sK3))
| ~ spl5_38 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f653,plain,
( spl5_10
| spl5_11
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f652,f92,f121,f117]) ).
fof(f117,plain,
( spl5_10
<=> sK2(sK3) = sK4(sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f92,plain,
( spl5_6
<=> greater_or_equal(sK4(sK2(sK3)),sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f652,plain,
( greater(sK4(sK2(sK3)),sK2(sK3))
| sK2(sK3) = sK4(sK2(sK3))
| ~ spl5_6 ),
inference(resolution,[],[f94,f54]) ).
fof(f94,plain,
( greater_or_equal(sK4(sK2(sK3)),sK2(sK3))
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f636,plain,
( spl5_12
| spl5_13
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f635,f99,f130,f126]) ).
fof(f126,plain,
( spl5_12
<=> sK2(sK3) = equilibrium(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f99,plain,
( spl5_7
<=> greater_or_equal(sK2(sK3),equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f635,plain,
( greater(sK2(sK3),equilibrium(sK3))
| sK2(sK3) = equilibrium(sK3)
| ~ spl5_7 ),
inference(resolution,[],[f101,f54]) ).
fof(f101,plain,
( greater_or_equal(sK2(sK3),equilibrium(sK3))
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f634,plain,
( spl5_6
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f631,f86,f92]) ).
fof(f631,plain,
( greater_or_equal(sK4(sK2(sK3)),sK2(sK3))
| ~ spl5_5 ),
inference(resolution,[],[f88,f52]) ).
fof(f52,plain,
! [X1] :
( ~ in_environment(sK3,X1)
| greater_or_equal(sK4(X1),X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f626,plain,
( spl5_26
| ~ spl5_12
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f625,f559,f126,f213]) ).
fof(f625,plain,
( greater(sK1(sK3),equilibrium(sK3))
| ~ spl5_12
| ~ spl5_63 ),
inference(forward_demodulation,[],[f561,f128]) ).
fof(f128,plain,
( sK2(sK3) = equilibrium(sK3)
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f561,plain,
( greater(sK1(sK3),sK2(sK3))
| ~ spl5_63 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f619,plain,
( spl5_25
| ~ spl5_12
| ~ spl5_62 ),
inference(avatar_split_clause,[],[f616,f555,f126,f209]) ).
fof(f616,plain,
( greater(equilibrium(sK3),sK1(sK3))
| ~ spl5_12
| ~ spl5_62 ),
inference(backward_demodulation,[],[f557,f128]) ).
fof(f617,plain,
( spl5_23
| ~ spl5_12
| ~ spl5_38 ),
inference(avatar_split_clause,[],[f612,f345,f126,f195]) ).
fof(f195,plain,
( spl5_23
<=> subpopulations(first_movers,efficient_producers,sK3,equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f612,plain,
( subpopulations(first_movers,efficient_producers,sK3,equilibrium(sK3))
| ~ spl5_12
| ~ spl5_38 ),
inference(backward_demodulation,[],[f347,f128]) ).
fof(f585,plain,
( sK2(sK3) != equilibrium(sK3)
| greater(sK2(sK3),sK1(sK3))
| ~ greater(equilibrium(sK3),sK1(sK3)) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f583,plain,
( sK2(sK3) != equilibrium(sK3)
| greater(zero,growth_rate(first_movers,equilibrium(sK3)))
| ~ greater(zero,growth_rate(first_movers,sK2(sK3))) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f573,plain,
( spl5_26
| ~ spl5_13
| ~ spl5_63 ),
inference(avatar_split_clause,[],[f570,f559,f130,f213]) ).
fof(f570,plain,
( greater(sK1(sK3),equilibrium(sK3))
| ~ spl5_13
| ~ spl5_63 ),
inference(resolution,[],[f561,f296]) ).
fof(f296,plain,
( ! [X0] :
( ~ greater(X0,sK2(sK3))
| greater(X0,equilibrium(sK3)) )
| ~ spl5_13 ),
inference(resolution,[],[f132,f58]) ).
fof(f563,plain,
( sK1(sK3) != sK2(sK3)
| sK2(sK3) != sK4(sK2(sK3))
| greater(growth_rate(efficient_producers,sK2(sK3)),growth_rate(first_movers,sK2(sK3)))
| ~ greater(growth_rate(efficient_producers,sK4(sK1(sK3))),growth_rate(first_movers,sK4(sK1(sK3)))) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f514,plain,
( spl5_57
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f509,f79,f73,f66,f61,f511]) ).
fof(f79,plain,
( spl5_4
<=> greater_or_equal(sK4(sK1(sK3)),sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f509,plain,
( greater(growth_rate(efficient_producers,sK4(sK1(sK3))),growth_rate(first_movers,sK4(sK1(sK3))))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_3
| ~ spl5_4 ),
inference(subsumption_resolution,[],[f507,f75]) ).
fof(f507,plain,
( greater(growth_rate(efficient_producers,sK4(sK1(sK3))),growth_rate(first_movers,sK4(sK1(sK3))))
| ~ in_environment(sK3,sK1(sK3))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_4 ),
inference(resolution,[],[f229,f81]) ).
fof(f81,plain,
( greater_or_equal(sK4(sK1(sK3)),sK1(sK3))
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f470,plain,
( spl5_37
| spl5_48
| ~ spl5_2
| ~ spl5_7
| ~ spl5_38
| spl5_46 ),
inference(avatar_split_clause,[],[f469,f413,f345,f99,f66,f425,f339]) ).
fof(f425,plain,
( spl5_48
<=> greater(zero,growth_rate(efficient_producers,sK2(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f413,plain,
( spl5_46
<=> sP0(sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f469,plain,
( greater(zero,growth_rate(efficient_producers,sK2(sK3)))
| greater(zero,growth_rate(first_movers,sK2(sK3)))
| ~ spl5_2
| ~ spl5_7
| ~ spl5_38
| spl5_46 ),
inference(subsumption_resolution,[],[f468,f68]) ).
fof(f468,plain,
( greater(zero,growth_rate(efficient_producers,sK2(sK3)))
| greater(zero,growth_rate(first_movers,sK2(sK3)))
| ~ environment(sK3)
| ~ spl5_7
| ~ spl5_38
| spl5_46 ),
inference(subsumption_resolution,[],[f467,f101]) ).
fof(f467,plain,
( greater(zero,growth_rate(efficient_producers,sK2(sK3)))
| ~ greater_or_equal(sK2(sK3),equilibrium(sK3))
| greater(zero,growth_rate(first_movers,sK2(sK3)))
| ~ environment(sK3)
| ~ spl5_38
| spl5_46 ),
inference(subsumption_resolution,[],[f465,f414]) ).
fof(f414,plain,
( ~ sP0(sK2(sK3))
| spl5_46 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f465,plain,
( greater(zero,growth_rate(efficient_producers,sK2(sK3)))
| sP0(sK2(sK3))
| ~ greater_or_equal(sK2(sK3),equilibrium(sK3))
| greater(zero,growth_rate(first_movers,sK2(sK3)))
| ~ environment(sK3)
| ~ spl5_38 ),
inference(resolution,[],[f44,f347]) ).
fof(f455,plain,
( spl5_52
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f445,f413,f452]) ).
fof(f452,plain,
( spl5_52
<=> zero = growth_rate(first_movers,sK2(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f445,plain,
( zero = growth_rate(first_movers,sK2(sK3))
| ~ spl5_46 ),
inference(resolution,[],[f415,f39]) ).
fof(f415,plain,
( sP0(sK2(sK3))
| ~ spl5_46 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f450,plain,
( spl5_51
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f444,f413,f447]) ).
fof(f444,plain,
( zero = growth_rate(efficient_producers,sK2(sK3))
| ~ spl5_46 ),
inference(resolution,[],[f415,f40]) ).
fof(f348,plain,
( spl5_38
| ~ spl5_5
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f343,f117,f86,f345]) ).
fof(f343,plain,
( subpopulations(first_movers,efficient_producers,sK3,sK2(sK3))
| ~ spl5_5
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f332,f88]) ).
fof(f332,plain,
( subpopulations(first_movers,efficient_producers,sK3,sK2(sK3))
| ~ in_environment(sK3,sK2(sK3))
| ~ spl5_10 ),
inference(superposition,[],[f51,f119]) ).
fof(f119,plain,
( sK2(sK3) = sK4(sK2(sK3))
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f342,plain,
( ~ spl5_36
| ~ spl5_37
| ~ spl5_5
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f333,f117,f86,f339,f335]) ).
fof(f335,plain,
( spl5_36
<=> greater(growth_rate(efficient_producers,sK2(sK3)),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f333,plain,
( ~ greater(zero,growth_rate(first_movers,sK2(sK3)))
| ~ greater(growth_rate(efficient_producers,sK2(sK3)),zero)
| ~ spl5_5
| ~ spl5_10 ),
inference(subsumption_resolution,[],[f331,f88]) ).
fof(f331,plain,
( ~ greater(zero,growth_rate(first_movers,sK2(sK3)))
| ~ greater(growth_rate(efficient_producers,sK2(sK3)),zero)
| ~ in_environment(sK3,sK2(sK3))
| ~ spl5_10 ),
inference(superposition,[],[f53,f119]) ).
fof(f327,plain,
( spl5_8
| spl5_9
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f326,f79,f112,f108]) ).
fof(f108,plain,
( spl5_8
<=> sK1(sK3) = sK4(sK1(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f326,plain,
( greater(sK4(sK1(sK3)),sK1(sK3))
| sK1(sK3) = sK4(sK1(sK3))
| ~ spl5_4 ),
inference(resolution,[],[f81,f54]) ).
fof(f290,plain,
( spl5_4
| ~ spl5_3 ),
inference(avatar_split_clause,[],[f288,f73,f79]) ).
fof(f288,plain,
( greater_or_equal(sK4(sK1(sK3)),sK1(sK3))
| ~ spl5_3 ),
inference(resolution,[],[f75,f52]) ).
fof(f287,plain,
( spl5_27
| ~ spl5_33
| ~ spl5_1
| ~ spl5_2
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f232,f195,f66,f61,f284,f236]) ).
fof(f232,plain,
( ~ greater_or_equal(equilibrium(sK3),sK1(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3)))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_23 ),
inference(subsumption_resolution,[],[f231,f68]) ).
fof(f231,plain,
( ~ greater_or_equal(equilibrium(sK3),sK1(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3)))
| ~ environment(sK3)
| ~ spl5_1
| ~ spl5_23 ),
inference(subsumption_resolution,[],[f227,f63]) ).
fof(f227,plain,
( ~ greater_or_equal(equilibrium(sK3),sK1(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3)))
| ~ stable(sK3)
| ~ environment(sK3)
| ~ spl5_23 ),
inference(resolution,[],[f46,f197]) ).
fof(f197,plain,
( subpopulations(first_movers,efficient_producers,sK3,equilibrium(sK3))
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f195]) ).
fof(f271,plain,
( spl5_21
| spl5_28
| spl5_29
| ~ spl5_2
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f270,f195,f66,f251,f247,f185]) ).
fof(f247,plain,
( spl5_28
<=> sP0(equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f270,plain,
( greater(growth_rate(first_movers,equilibrium(sK3)),zero)
| sP0(equilibrium(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),zero)
| ~ spl5_2
| ~ spl5_23 ),
inference(subsumption_resolution,[],[f243,f68]) ).
fof(f243,plain,
( greater(growth_rate(first_movers,equilibrium(sK3)),zero)
| sP0(equilibrium(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),zero)
| ~ environment(sK3)
| ~ spl5_23 ),
inference(subsumption_resolution,[],[f241,f59]) ).
fof(f59,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f241,plain,
( greater(growth_rate(first_movers,equilibrium(sK3)),zero)
| sP0(equilibrium(sK3))
| ~ greater_or_equal(equilibrium(sK3),equilibrium(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),zero)
| ~ environment(sK3)
| ~ spl5_23 ),
inference(resolution,[],[f41,f197]) ).
fof(f267,plain,
( zero != growth_rate(first_movers,equilibrium(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),zero)
| ~ greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3))) ),
introduced(theory_tautology_sat_conflict,[]) ).
fof(f266,plain,
( spl5_31
| ~ spl5_28 ),
inference(avatar_split_clause,[],[f256,f247,f263]) ).
fof(f263,plain,
( spl5_31
<=> zero = growth_rate(first_movers,equilibrium(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f256,plain,
( zero = growth_rate(first_movers,equilibrium(sK3))
| ~ spl5_28 ),
inference(resolution,[],[f249,f39]) ).
fof(f249,plain,
( sP0(equilibrium(sK3))
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f239,plain,
( spl5_27
| ~ spl5_1
| ~ spl5_2
| ~ spl5_23
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f234,f205,f195,f66,f61,f236]) ).
fof(f234,plain,
( greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3)))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_23
| ~ spl5_24 ),
inference(subsumption_resolution,[],[f233,f59]) ).
fof(f233,plain,
( ~ greater_or_equal(equilibrium(sK3),equilibrium(sK3))
| greater(growth_rate(efficient_producers,equilibrium(sK3)),growth_rate(first_movers,equilibrium(sK3)))
| ~ spl5_1
| ~ spl5_2
| ~ spl5_23
| ~ spl5_24 ),
inference(forward_demodulation,[],[f232,f207]) ).
fof(f207,plain,
( sK1(sK3) = equilibrium(sK3)
| ~ spl5_24 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f179,plain,
( spl5_16
| ~ spl5_10
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f178,f126,f117,f151]) ).
fof(f178,plain,
( equilibrium(sK3) = sK4(equilibrium(sK3))
| ~ spl5_10
| ~ spl5_12 ),
inference(forward_demodulation,[],[f119,f128]) ).
fof(f146,plain,
( spl5_15
| ~ spl5_5
| ~ spl5_12 ),
inference(avatar_split_clause,[],[f136,f126,f86,f143]) ).
fof(f136,plain,
( in_environment(sK3,equilibrium(sK3))
| ~ spl5_5
| ~ spl5_12 ),
inference(backward_demodulation,[],[f88,f128]) ).
fof(f102,plain,
( spl5_7
| ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f97,f66,f61,f99]) ).
fof(f97,plain,
( greater_or_equal(sK2(sK3),equilibrium(sK3))
| ~ spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f96,f68]) ).
fof(f96,plain,
( greater_or_equal(sK2(sK3),equilibrium(sK3))
| ~ environment(sK3)
| ~ spl5_1 ),
inference(resolution,[],[f48,f63]) ).
fof(f48,plain,
! [X0] :
( ~ stable(X0)
| greater_or_equal(sK2(X0),equilibrium(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( greater_or_equal(sK2(X0),equilibrium(X0))
& in_environment(X0,sK2(X0)) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f19,f32]) ).
fof(f32,plain,
! [X0] :
( ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) )
=> ( greater_or_equal(sK2(X0),equilibrium(X0))
& in_environment(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(flattening,[],[f18]) ).
fof(f18,plain,
! [X0] :
( ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) )
| ~ stable(X0)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ( stable(X0)
& environment(X0) )
=> ? [X1] :
( greater_or_equal(X1,equilibrium(X0))
& in_environment(X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3] :
( ( stable(X3)
& environment(X3) )
=> ? [X6] :
( greater_or_equal(X6,equilibrium(X3))
& in_environment(X3,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4) ).
fof(f89,plain,
( spl5_5
| ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f84,f66,f61,f86]) ).
fof(f84,plain,
( in_environment(sK3,sK2(sK3))
| ~ spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f83,f68]) ).
fof(f83,plain,
( in_environment(sK3,sK2(sK3))
| ~ environment(sK3)
| ~ spl5_1 ),
inference(resolution,[],[f47,f63]) ).
fof(f47,plain,
! [X0] :
( ~ stable(X0)
| in_environment(X0,sK2(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f76,plain,
( spl5_3
| ~ spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f71,f66,f61,f73]) ).
fof(f71,plain,
( in_environment(sK3,sK1(sK3))
| ~ spl5_1
| ~ spl5_2 ),
inference(subsumption_resolution,[],[f70,f68]) ).
fof(f70,plain,
( in_environment(sK3,sK1(sK3))
| ~ environment(sK3)
| ~ spl5_1 ),
inference(resolution,[],[f45,f63]) ).
fof(f45,plain,
! [X0] :
( ~ stable(X0)
| in_environment(X0,sK1(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f69,plain,
spl5_2,
inference(avatar_split_clause,[],[f49,f66]) ).
fof(f49,plain,
environment(sK3),
inference(cnf_transformation,[],[f36]) ).
fof(f64,plain,
spl5_1,
inference(avatar_split_clause,[],[f50,f61]) ).
fof(f50,plain,
stable(sK3),
inference(cnf_transformation,[],[f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT029+1 : TPTP v8.2.0. Released v2.0.0.
% 0.07/0.14 % 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
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun May 19 00:11:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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/benchmark/theBenchmark.p
% 0.54/0.75 % (11483)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.75 % (11485)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.54/0.75 % (11484)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 theBenchmark for (2996ds/51Mi)
% 0.54/0.75 % (11486)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.54/0.75 % (11487)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 theBenchmark for (2996ds/34Mi)
% 0.54/0.75 % (11488)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.54/0.75 % (11490)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.54/0.75 % (11489)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 theBenchmark for (2996ds/83Mi)
% 0.54/0.77 % (11487)Instruction limit reached!
% 0.54/0.77 % (11487)------------------------------
% 0.54/0.77 % (11487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (11487)Termination reason: Unknown
% 0.54/0.77 % (11487)Termination phase: Saturation
% 0.54/0.77
% 0.54/0.77 % (11487)Memory used [KB]: 1197
% 0.54/0.77 % (11487)Time elapsed: 0.018 s
% 0.54/0.77 % (11487)Instructions burned: 34 (million)
% 0.54/0.77 % (11487)------------------------------
% 0.54/0.77 % (11487)------------------------------
% 0.54/0.77 % (11486)Instruction limit reached!
% 0.54/0.77 % (11486)------------------------------
% 0.54/0.77 % (11486)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (11486)Termination reason: Unknown
% 0.54/0.77 % (11486)Termination phase: Saturation
% 0.54/0.77
% 0.54/0.77 % (11486)Memory used [KB]: 1246
% 0.54/0.77 % (11486)Time elapsed: 0.019 s
% 0.54/0.77 % (11486)Instructions burned: 35 (million)
% 0.54/0.77 % (11486)------------------------------
% 0.54/0.77 % (11486)------------------------------
% 0.54/0.77 % (11483)Instruction limit reached!
% 0.54/0.77 % (11483)------------------------------
% 0.54/0.77 % (11483)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (11483)Termination reason: Unknown
% 0.54/0.77 % (11483)Termination phase: Saturation
% 0.54/0.77
% 0.54/0.77 % (11483)Memory used [KB]: 1171
% 0.54/0.77 % (11483)Time elapsed: 0.020 s
% 0.54/0.77 % (11483)Instructions burned: 36 (million)
% 0.54/0.77 % (11483)------------------------------
% 0.54/0.77 % (11483)------------------------------
% 0.54/0.77 % (11491)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 theBenchmark for (2995ds/55Mi)
% 0.54/0.77 % (11492)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 theBenchmark for (2995ds/50Mi)
% 0.54/0.77 % (11493)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2995ds/208Mi)
% 0.54/0.77 % (11491)Refutation not found, incomplete strategy% (11491)------------------------------
% 0.54/0.77 % (11491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (11491)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.77
% 0.54/0.77 % (11491)Memory used [KB]: 1043
% 0.54/0.77 % (11491)Time elapsed: 0.005 s
% 0.54/0.77 % (11491)Instructions burned: 5 (million)
% 0.54/0.77 % (11484)Instruction limit reached!
% 0.54/0.77 % (11484)------------------------------
% 0.54/0.77 % (11484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (11491)------------------------------
% 0.54/0.77 % (11491)------------------------------
% 0.54/0.77 % (11484)Termination reason: Unknown
% 0.54/0.77 % (11484)Termination phase: Saturation
% 0.54/0.77
% 0.54/0.77 % (11484)Memory used [KB]: 1227
% 0.54/0.77 % (11484)Time elapsed: 0.026 s
% 0.54/0.77 % (11484)Instructions burned: 53 (million)
% 0.54/0.77 % (11484)------------------------------
% 0.54/0.77 % (11484)------------------------------
% 0.54/0.77 % (11488)Instruction limit reached!
% 0.54/0.77 % (11488)------------------------------
% 0.54/0.77 % (11488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.77 % (11488)Termination reason: Unknown
% 0.54/0.77 % (11488)Termination phase: Saturation
% 0.54/0.77
% 0.54/0.77 % (11488)Memory used [KB]: 1360
% 0.54/0.77 % (11488)Time elapsed: 0.027 s
% 0.54/0.77 % (11488)Instructions burned: 46 (million)
% 0.54/0.77 % (11488)------------------------------
% 0.54/0.77 % (11488)------------------------------
% 0.54/0.78 % (11490)Instruction limit reached!
% 0.54/0.78 % (11490)------------------------------
% 0.54/0.78 % (11490)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.78 % (11490)Termination reason: Unknown
% 0.54/0.78 % (11490)Termination phase: Saturation
% 0.54/0.78
% 0.54/0.78 % (11490)Memory used [KB]: 1477
% 0.54/0.78 % (11490)Time elapsed: 0.028 s
% 0.54/0.78 % (11490)Instructions burned: 56 (million)
% 0.54/0.78 % (11490)------------------------------
% 0.54/0.78 % (11490)------------------------------
% 0.73/0.78 % (11494)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 theBenchmark for (2995ds/52Mi)
% 0.73/0.78 % (11495)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 theBenchmark for (2995ds/518Mi)
% 0.73/0.78 % (11496)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 theBenchmark for (2995ds/42Mi)
% 0.73/0.78 % (11497)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 theBenchmark for (2995ds/243Mi)
% 0.73/0.78 % (11489)Instruction limit reached!
% 0.73/0.78 % (11489)------------------------------
% 0.73/0.78 % (11489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.78 % (11489)Termination reason: Unknown
% 0.73/0.78 % (11489)Termination phase: Saturation
% 0.73/0.78
% 0.73/0.78 % (11489)Memory used [KB]: 1676
% 0.73/0.78 % (11489)Time elapsed: 0.054 s
% 0.73/0.78 % (11489)Instructions burned: 84 (million)
% 0.73/0.78 % (11489)------------------------------
% 0.73/0.78 % (11489)------------------------------
% 0.73/0.78 % (11498)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2995ds/117Mi)
% 0.73/0.79 % (11498)Refutation not found, incomplete strategy% (11498)------------------------------
% 0.73/0.79 % (11498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.79 % (11498)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.79
% 0.73/0.79 % (11498)Memory used [KB]: 1055
% 0.73/0.79 % (11498)Time elapsed: 0.002 s
% 0.73/0.79 % (11498)Instructions burned: 4 (million)
% 0.73/0.79 % (11498)------------------------------
% 0.73/0.79 % (11498)------------------------------
% 0.73/0.79 % (11499)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 theBenchmark for (2995ds/143Mi)
% 0.73/0.79 % (11499)Refutation not found, incomplete strategy% (11499)------------------------------
% 0.73/0.79 % (11499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.79 % (11499)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.79
% 0.73/0.79 % (11499)Memory used [KB]: 1047
% 0.73/0.79 % (11499)Time elapsed: 0.003 s
% 0.73/0.79 % (11499)Instructions burned: 6 (million)
% 0.73/0.79 % (11499)------------------------------
% 0.73/0.79 % (11499)------------------------------
% 0.73/0.79 % (11500)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 theBenchmark for (2995ds/93Mi)
% 0.73/0.79 % (11485)Instruction limit reached!
% 0.73/0.79 % (11485)------------------------------
% 0.73/0.79 % (11485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.79 % (11485)Termination reason: Unknown
% 0.73/0.79 % (11485)Termination phase: Saturation
% 0.73/0.79
% 0.73/0.79 % (11485)Memory used [KB]: 1609
% 0.73/0.79 % (11485)Time elapsed: 0.047 s
% 0.73/0.79 % (11485)Instructions burned: 78 (million)
% 0.73/0.79 % (11485)------------------------------
% 0.73/0.79 % (11485)------------------------------
% 0.73/0.80 % (11496)Instruction limit reached!
% 0.73/0.80 % (11496)------------------------------
% 0.73/0.80 % (11496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.80 % (11496)Termination reason: Unknown
% 0.73/0.80 % (11496)Termination phase: Saturation
% 0.73/0.80
% 0.73/0.80 % (11496)Memory used [KB]: 1147
% 0.73/0.80 % (11496)Time elapsed: 0.019 s
% 0.73/0.80 % (11496)Instructions burned: 43 (million)
% 0.73/0.80 % (11496)------------------------------
% 0.73/0.80 % (11496)------------------------------
% 0.73/0.80 % (11492)Instruction limit reached!
% 0.73/0.80 % (11492)------------------------------
% 0.73/0.80 % (11492)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.80 % (11492)Termination reason: Unknown
% 0.73/0.80 % (11492)Termination phase: Saturation
% 0.73/0.80
% 0.73/0.80 % (11492)Memory used [KB]: 1330
% 0.73/0.80 % (11492)Time elapsed: 0.029 s
% 0.73/0.80 % (11492)Instructions burned: 50 (million)
% 0.73/0.80 % (11492)------------------------------
% 0.73/0.80 % (11492)------------------------------
% 0.73/0.80 % (11501)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 theBenchmark for (2995ds/62Mi)
% 0.73/0.80 % (11502)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 theBenchmark for (2995ds/32Mi)
% 0.73/0.80 % (11503)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 theBenchmark for (2995ds/1919Mi)
% 0.73/0.80 % (11494)Instruction limit reached!
% 0.73/0.80 % (11494)------------------------------
% 0.73/0.80 % (11494)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.80 % (11494)Termination reason: Unknown
% 0.73/0.80 % (11494)Termination phase: Saturation
% 0.73/0.80
% 0.73/0.80 % (11494)Memory used [KB]: 1422
% 0.73/0.80 % (11494)Time elapsed: 0.028 s
% 0.73/0.80 % (11494)Instructions burned: 53 (million)
% 0.73/0.80 % (11494)------------------------------
% 0.73/0.80 % (11494)------------------------------
% 0.73/0.81 % (11504)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 theBenchmark for (2995ds/55Mi)
% 0.73/0.82 % (11502)Instruction limit reached!
% 0.73/0.82 % (11502)------------------------------
% 0.73/0.82 % (11502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.82 % (11502)Termination reason: Unknown
% 0.73/0.82 % (11502)Termination phase: Saturation
% 0.73/0.82
% 0.73/0.82 % (11502)Memory used [KB]: 1398
% 0.73/0.82 % (11502)Time elapsed: 0.022 s
% 0.73/0.82 % (11502)Instructions burned: 33 (million)
% 0.73/0.82 % (11502)------------------------------
% 0.73/0.82 % (11502)------------------------------
% 0.73/0.83 % (11500)Instruction limit reached!
% 0.73/0.83 % (11500)------------------------------
% 0.73/0.83 % (11500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.83 % (11500)Termination reason: Unknown
% 0.73/0.83 % (11500)Termination phase: Saturation
% 0.73/0.83
% 0.73/0.83 % (11500)Memory used [KB]: 1746
% 0.73/0.83 % (11500)Time elapsed: 0.033 s
% 0.73/0.83 % (11500)Instructions burned: 95 (million)
% 0.73/0.83 % (11500)------------------------------
% 0.73/0.83 % (11500)------------------------------
% 0.73/0.83 % (11505)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 theBenchmark for (2995ds/53Mi)
% 0.73/0.83 % (11506)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 theBenchmark for (2995ds/46Mi)
% 0.73/0.84 % (11501)Instruction limit reached!
% 0.73/0.84 % (11501)------------------------------
% 0.73/0.84 % (11501)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.84 % (11501)Termination reason: Unknown
% 0.73/0.84 % (11501)Termination phase: Saturation
% 0.73/0.84
% 0.73/0.84 % (11501)Memory used [KB]: 1649
% 0.73/0.84 % (11501)Time elapsed: 0.039 s
% 0.73/0.84 % (11501)Instructions burned: 62 (million)
% 0.73/0.84 % (11501)------------------------------
% 0.73/0.84 % (11501)------------------------------
% 0.73/0.84 % (11507)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 theBenchmark for (2995ds/102Mi)
% 0.73/0.84 % (11504)Instruction limit reached!
% 0.73/0.84 % (11504)------------------------------
% 0.73/0.84 % (11504)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.84 % (11504)Termination reason: Unknown
% 0.73/0.84 % (11504)Termination phase: Saturation
% 0.73/0.84
% 0.73/0.84 % (11504)Memory used [KB]: 1515
% 0.73/0.84 % (11504)Time elapsed: 0.035 s
% 0.73/0.84 % (11504)Instructions burned: 55 (million)
% 0.73/0.84 % (11504)------------------------------
% 0.73/0.84 % (11504)------------------------------
% 0.73/0.84 % (11506)Instruction limit reached!
% 0.73/0.84 % (11506)------------------------------
% 0.73/0.84 % (11506)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.84 % (11506)Termination reason: Unknown
% 0.73/0.84 % (11506)Termination phase: Saturation
% 0.73/0.84
% 0.73/0.84 % (11506)Memory used [KB]: 1388
% 0.73/0.84 % (11506)Time elapsed: 0.015 s
% 0.73/0.84 % (11506)Instructions burned: 46 (million)
% 0.73/0.84 % (11506)------------------------------
% 0.73/0.84 % (11506)------------------------------
% 0.73/0.84 % (11509)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.73/0.84 % (11508)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 theBenchmark for (2995ds/35Mi)
% 0.73/0.85 % (11505)Instruction limit reached!
% 0.73/0.85 % (11505)------------------------------
% 0.73/0.85 % (11505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.85 % (11505)Termination reason: Unknown
% 0.73/0.85 % (11505)Termination phase: Saturation
% 0.73/0.85
% 0.73/0.85 % (11505)Memory used [KB]: 1262
% 0.73/0.85 % (11505)Time elapsed: 0.031 s
% 0.73/0.85 % (11505)Instructions burned: 54 (million)
% 0.73/0.85 % (11505)------------------------------
% 0.73/0.85 % (11505)------------------------------
% 0.73/0.86 % (11510)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 theBenchmark for (2995ds/109Mi)
% 0.73/0.86 % (11509)Instruction limit reached!
% 0.73/0.86 % (11509)------------------------------
% 0.73/0.86 % (11509)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.86 % (11509)Termination reason: Unknown
% 0.73/0.86 % (11509)Termination phase: Saturation
% 0.73/0.86
% 0.73/0.86 % (11509)Memory used [KB]: 1430
% 0.73/0.86 % (11509)Time elapsed: 0.021 s
% 0.73/0.86 % (11509)Instructions burned: 89 (million)
% 0.73/0.86 % (11509)------------------------------
% 0.73/0.86 % (11509)------------------------------
% 0.73/0.87 % (11508)Instruction limit reached!
% 0.73/0.87 % (11508)------------------------------
% 0.73/0.87 % (11508)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.87 % (11508)Termination reason: Unknown
% 0.73/0.87 % (11508)Termination phase: Saturation
% 0.73/0.87
% 0.73/0.87 % (11508)Memory used [KB]: 1195
% 0.73/0.87 % (11508)Time elapsed: 0.022 s
% 0.73/0.87 % (11508)Instructions burned: 35 (million)
% 0.73/0.87 % (11508)------------------------------
% 0.73/0.87 % (11508)------------------------------
% 0.73/0.87 % (11511)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 theBenchmark for (2995ds/161Mi)
% 1.13/0.87 % (11512)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 theBenchmark for (2995ds/69Mi)
% 1.13/0.87 % (11512)Refutation not found, incomplete strategy% (11512)------------------------------
% 1.13/0.87 % (11512)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/0.87 % (11512)Termination reason: Refutation not found, incomplete strategy
% 1.13/0.87
% 1.13/0.87 % (11512)Memory used [KB]: 1089
% 1.13/0.87 % (11512)Time elapsed: 0.006 s
% 1.13/0.87 % (11512)Instructions burned: 8 (million)
% 1.13/0.87 % (11512)------------------------------
% 1.13/0.87 % (11512)------------------------------
% 1.13/0.88 % (11513)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 1.13/0.88 % (11493)Instruction limit reached!
% 1.13/0.88 % (11493)------------------------------
% 1.13/0.88 % (11493)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.13/0.88 % (11493)Termination reason: Unknown
% 1.13/0.88 % (11493)Termination phase: Saturation
% 1.13/0.88
% 1.13/0.88 % (11493)Memory used [KB]: 2063
% 1.13/0.88 % (11493)Time elapsed: 0.110 s
% 1.13/0.88 % (11493)Instructions burned: 208 (million)
% 1.13/0.88 % (11493)------------------------------
% 1.13/0.88 % (11493)------------------------------
% 1.13/0.88 % (11514)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 1.13/0.89 % (11507)First to succeed.
% 1.26/0.89 % (11507)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11482"
% 1.26/0.89 % (11507)Refutation found. Thanks to Tanya!
% 1.26/0.89 % SZS status Theorem for theBenchmark
% 1.26/0.89 % SZS output start Proof for theBenchmark
% See solution above
% 1.26/0.89 % (11507)------------------------------
% 1.26/0.89 % (11507)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.26/0.89 % (11507)Termination reason: Refutation
% 1.26/0.89
% 1.26/0.89 % (11507)Memory used [KB]: 1592
% 1.26/0.89 % (11507)Time elapsed: 0.051 s
% 1.26/0.89 % (11507)Instructions burned: 84 (million)
% 1.26/0.89 % (11482)Success in time 0.521 s
% 1.26/0.89 % Vampire---4.8 exiting
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