TSTP Solution File: MGT025-1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/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 07:56:37 EDT 2024
% Result : Unsatisfiable 0.60s 0.76s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 38
% Syntax : Number of formulae : 129 ( 9 unt; 0 def)
% Number of atoms : 424 ( 20 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 494 ( 199 ~; 280 |; 0 &)
% ( 15 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 16 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f54,f63,f87,f102,f113,f121,f129,f136,f161,f167,f170,f172,f175,f187,f189,f191,f193,f194,f199]) ).
fof(f199,plain,
( spl0_11
| spl0_5
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f198,f164,f56,f107]) ).
fof(f107,plain,
( spl0_11
<=> ! [X0] :
( ~ in_environment(X0,sk2)
| ~ environment(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f56,plain,
( spl0_5
<=> greater(growth_rate(efficient_producers,sk2),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f164,plain,
( spl0_16
<=> increases(cardinality_at_time(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f198,plain,
( ! [X0] :
( ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_5
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f197,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_subpopulations_31) ).
fof(f197,plain,
( ! [X0] :
( ~ subpopulation(efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_5
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f196,f95]) ).
fof(f95,plain,
greater(cardinality_at_time(efficient_producers,sk2),zero),
inference(subsumption_resolution,[],[f92,f21]) ).
fof(f21,axiom,
environment(sk1),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',prove_l7_47) ).
fof(f92,plain,
( greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[],[f22,f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_non_zero_producers_44) ).
fof(f22,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',prove_l7_48) ).
fof(f196,plain,
( ! [X0] :
( ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_5
| ~ spl0_16 ),
inference(subsumption_resolution,[],[f195,f166]) ).
fof(f166,plain,
( increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f195,plain,
( ! [X0] :
( ~ increases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_5 ),
inference(resolution,[],[f58,f15]) ).
fof(f15,axiom,
! [X2,X0,X1] :
( greater(growth_rate(X2,X1),zero)
| ~ increases(cardinality_at_time(X2,X1))
| ~ greater(cardinality_at_time(X2,X1),zero)
| ~ subpopulation(X2,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_growth_rate_41) ).
fof(f58,plain,
( ~ greater(growth_rate(efficient_producers,sk2),zero)
| spl0_5 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f194,plain,
( spl0_13
| spl0_17
| ~ spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f153,f133,f72,f184,f118]) ).
fof(f118,plain,
( spl0_13
<=> decreases(cardinality_at_time(first_movers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f184,plain,
( spl0_17
<=> increases(cardinality_at_time(first_movers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f72,plain,
( spl0_8
<=> constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f133,plain,
( spl0_15
<=> constant(cardinality_at_time(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f153,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8
| spl0_15 ),
inference(subsumption_resolution,[],[f141,f135]) ).
fof(f135,plain,
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| spl0_15 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f141,plain,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f31]) ).
fof(f31,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| constant(X2)
| decreases(X1) ),
inference(equality_resolution,[],[f10]) ).
fof(f10,axiom,
! [X2,X0,X1] :
( decreases(X1)
| increases(X1)
| constant(X2)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_36) ).
fof(f74,plain,
( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f193,plain,
( spl0_13
| spl0_17
| ~ spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f192,f126,f72,f184,f118]) ).
fof(f126,plain,
( spl0_14
<=> constant(cardinality_at_time(first_movers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f192,plain,
( increases(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8
| spl0_14 ),
inference(subsumption_resolution,[],[f144,f128]) ).
fof(f128,plain,
( ~ constant(cardinality_at_time(first_movers,sk2))
| spl0_14 ),
inference(avatar_component_clause,[],[f126]) ).
fof(f144,plain,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f34]) ).
fof(f34,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| constant(X1)
| decreases(X1) ),
inference(equality_resolution,[],[f6]) ).
fof(f6,axiom,
! [X2,X0,X1] :
( decreases(X1)
| increases(X1)
| constant(X1)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_32) ).
fof(f191,plain,
( spl0_16
| spl0_17
| ~ spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f190,f133,f72,f184,f164]) ).
fof(f190,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8
| spl0_15 ),
inference(subsumption_resolution,[],[f145,f135]) ).
fof(f145,plain,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f35]) ).
fof(f35,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| constant(X2)
| increases(X2) ),
inference(equality_resolution,[],[f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( increases(X2)
| increases(X1)
| constant(X2)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_37) ).
fof(f189,plain,
( spl0_16
| spl0_17
| ~ spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f188,f126,f72,f184,f164]) ).
fof(f188,plain,
( increases(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8
| spl0_14 ),
inference(subsumption_resolution,[],[f146,f128]) ).
fof(f146,plain,
( increases(cardinality_at_time(first_movers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f36]) ).
fof(f36,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| increases(X1)
| constant(X1)
| increases(X2) ),
inference(equality_resolution,[],[f7]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( increases(X2)
| increases(X1)
| constant(X1)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_33) ).
fof(f187,plain,
( spl0_11
| ~ spl0_17
| spl0_3 ),
inference(avatar_split_clause,[],[f182,f47,f184,f107]) ).
fof(f47,plain,
( spl0_3
<=> greater(growth_rate(first_movers,sk2),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f182,plain,
( ! [X0] :
( ~ increases(cardinality_at_time(first_movers,sk2))
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_3 ),
inference(subsumption_resolution,[],[f181,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_subpopulations_30) ).
fof(f181,plain,
( ! [X0] :
( ~ increases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_3 ),
inference(subsumption_resolution,[],[f176,f94]) ).
fof(f94,plain,
greater(cardinality_at_time(first_movers,sk2),zero),
inference(subsumption_resolution,[],[f91,f21]) ).
fof(f91,plain,
( greater(cardinality_at_time(first_movers,sk2),zero)
| ~ environment(sk1) ),
inference(resolution,[],[f22,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_non_zero_producers_43) ).
fof(f176,plain,
( ! [X0] :
( ~ increases(cardinality_at_time(first_movers,sk2))
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ subpopulation(first_movers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_3 ),
inference(resolution,[],[f49,f15]) ).
fof(f49,plain,
( ~ greater(growth_rate(first_movers,sk2),zero)
| spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f175,plain,
~ spl0_11,
inference(avatar_contradiction_clause,[],[f174]) ).
fof(f174,plain,
( $false
| ~ spl0_11 ),
inference(subsumption_resolution,[],[f173,f21]) ).
fof(f173,plain,
( ~ environment(sk1)
| ~ spl0_11 ),
inference(resolution,[],[f108,f99]) ).
fof(f99,plain,
in_environment(sk1,sk2),
inference(subsumption_resolution,[],[f93,f21]) ).
fof(f93,plain,
( in_environment(sk1,sk2)
| ~ environment(sk1) ),
inference(resolution,[],[f22,f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_time_point_occur_45) ).
fof(f108,plain,
( ! [X0] :
( ~ in_environment(X0,sk2)
| ~ environment(X0) )
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f107]) ).
fof(f172,plain,
( spl0_16
| spl0_12
| ~ spl0_8
| spl0_15 ),
inference(avatar_split_clause,[],[f171,f133,f72,f110,f164]) ).
fof(f110,plain,
( spl0_12
<=> decreases(cardinality_at_time(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f171,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8
| spl0_15 ),
inference(subsumption_resolution,[],[f139,f135]) ).
fof(f139,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f29]) ).
fof(f29,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X2)
| increases(X2) ),
inference(equality_resolution,[],[f13]) ).
fof(f13,axiom,
! [X2,X0,X1] :
( increases(X2)
| decreases(X2)
| constant(X2)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_39) ).
fof(f170,plain,
( spl0_12
| ~ spl0_8
| spl0_13
| spl0_15 ),
inference(avatar_split_clause,[],[f169,f133,f118,f72,f110]) ).
fof(f169,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8
| spl0_13
| spl0_15 ),
inference(subsumption_resolution,[],[f168,f120]) ).
fof(f120,plain,
( ~ decreases(cardinality_at_time(first_movers,sk2))
| spl0_13 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f168,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8
| spl0_15 ),
inference(subsumption_resolution,[],[f140,f135]) ).
fof(f140,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f30]) ).
fof(f30,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X2)
| decreases(X1) ),
inference(equality_resolution,[],[f12]) ).
fof(f12,axiom,
! [X2,X0,X1] :
( decreases(X1)
| decreases(X2)
| constant(X2)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_38) ).
fof(f167,plain,
( spl0_16
| spl0_12
| ~ spl0_8
| spl0_14 ),
inference(avatar_split_clause,[],[f162,f126,f72,f110,f164]) ).
fof(f162,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8
| spl0_14 ),
inference(subsumption_resolution,[],[f142,f128]) ).
fof(f142,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| increases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f32]) ).
fof(f32,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X1)
| increases(X2) ),
inference(equality_resolution,[],[f9]) ).
fof(f9,axiom,
! [X2,X0,X1] :
( increases(X2)
| decreases(X2)
| constant(X1)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_35) ).
fof(f161,plain,
( spl0_12
| ~ spl0_8
| spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f160,f126,f118,f72,f110]) ).
fof(f160,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| ~ spl0_8
| spl0_13
| spl0_14 ),
inference(subsumption_resolution,[],[f159,f120]) ).
fof(f159,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8
| spl0_14 ),
inference(subsumption_resolution,[],[f143,f128]) ).
fof(f143,plain,
( decreases(cardinality_at_time(efficient_producers,sk2))
| constant(cardinality_at_time(first_movers,sk2))
| decreases(cardinality_at_time(first_movers,sk2))
| ~ spl0_8 ),
inference(resolution,[],[f74,f33]) ).
fof(f33,plain,
! [X2,X1] :
( ~ constant(sum(X1,X2))
| decreases(X2)
| constant(X1)
| decreases(X1) ),
inference(equality_resolution,[],[f8]) ).
fof(f8,axiom,
! [X2,X0,X1] :
( decreases(X1)
| decreases(X2)
| constant(X1)
| ~ constant(X0)
| sum(X1,X2) != X0 ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_abc_sum_increase_34) ).
fof(f136,plain,
( spl0_11
| spl0_2
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f131,f133,f42,f107]) ).
fof(f42,plain,
( spl0_2
<=> zero = growth_rate(efficient_producers,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f131,plain,
! [X0] :
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| zero = growth_rate(efficient_producers,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f130,f5]) ).
fof(f130,plain,
! [X0] :
( ~ constant(cardinality_at_time(efficient_producers,sk2))
| zero = growth_rate(efficient_producers,sk2)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) ),
inference(resolution,[],[f95,f14]) ).
fof(f14,axiom,
! [X2,X0,X1] :
( ~ greater(cardinality_at_time(X2,X1),zero)
| ~ constant(cardinality_at_time(X2,X1))
| zero = growth_rate(X2,X1)
| ~ subpopulation(X2,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_growth_rate_40) ).
fof(f129,plain,
( spl0_11
| ~ spl0_14
| spl0_1 ),
inference(avatar_split_clause,[],[f124,f38,f126,f107]) ).
fof(f38,plain,
( spl0_1
<=> zero = growth_rate(first_movers,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f124,plain,
( ! [X0] :
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_1 ),
inference(subsumption_resolution,[],[f123,f4]) ).
fof(f123,plain,
( ! [X0] :
( ~ constant(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_1 ),
inference(subsumption_resolution,[],[f122,f40]) ).
fof(f40,plain,
( zero != growth_rate(first_movers,sk2)
| spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f122,plain,
! [X0] :
( ~ constant(cardinality_at_time(first_movers,sk2))
| zero = growth_rate(first_movers,sk2)
| ~ subpopulation(first_movers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) ),
inference(resolution,[],[f94,f14]) ).
fof(f121,plain,
( spl0_11
| ~ spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f116,f60,f118,f107]) ).
fof(f60,plain,
( spl0_6
<=> greater(zero,growth_rate(first_movers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f116,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_6 ),
inference(subsumption_resolution,[],[f115,f4]) ).
fof(f115,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ subpopulation(first_movers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_6 ),
inference(subsumption_resolution,[],[f114,f94]) ).
fof(f114,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(first_movers,sk2))
| ~ greater(cardinality_at_time(first_movers,sk2),zero)
| ~ subpopulation(first_movers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_6 ),
inference(resolution,[],[f62,f16]) ).
fof(f16,axiom,
! [X2,X0,X1] :
( greater(zero,growth_rate(X2,X1))
| ~ decreases(cardinality_at_time(X2,X1))
| ~ greater(cardinality_at_time(X2,X1),zero)
| ~ subpopulation(X2,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_growth_rate_42) ).
fof(f62,plain,
( ~ greater(zero,growth_rate(first_movers,sk2))
| spl0_6 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f113,plain,
( spl0_11
| ~ spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f105,f51,f110,f107]) ).
fof(f51,plain,
( spl0_4
<=> greater(zero,growth_rate(efficient_producers,sk2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f105,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_4 ),
inference(subsumption_resolution,[],[f104,f5]) ).
fof(f104,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_4 ),
inference(subsumption_resolution,[],[f103,f95]) ).
fof(f103,plain,
( ! [X0] :
( ~ decreases(cardinality_at_time(efficient_producers,sk2))
| ~ greater(cardinality_at_time(efficient_producers,sk2),zero)
| ~ subpopulation(efficient_producers,X0,sk2)
| ~ in_environment(X0,sk2)
| ~ environment(X0) )
| spl0_4 ),
inference(resolution,[],[f53,f16]) ).
fof(f53,plain,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| spl0_4 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f102,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f101]) ).
fof(f101,plain,
( $false
| spl0_10 ),
inference(subsumption_resolution,[],[f100,f21]) ).
fof(f100,plain,
( ~ environment(sk1)
| spl0_10 ),
inference(subsumption_resolution,[],[f90,f99]) ).
fof(f90,plain,
( ~ in_environment(sk1,sk2)
| ~ environment(sk1)
| spl0_10 ),
inference(resolution,[],[f86,f4]) ).
fof(f86,plain,
( ~ subpopulation(first_movers,sk1,sk2)
| spl0_10 ),
inference(avatar_component_clause,[],[f84]) ).
fof(f84,plain,
( spl0_10
<=> subpopulation(first_movers,sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f87,plain,
( ~ spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f82,f72,f84]) ).
fof(f82,plain,
( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| ~ subpopulation(first_movers,sk1,sk2) ),
inference(subsumption_resolution,[],[f66,f21]) ).
fof(f66,plain,
( constant(sum(cardinality_at_time(first_movers,sk2),cardinality_at_time(efficient_producers,sk2)))
| ~ subpopulation(first_movers,sk1,sk2)
| ~ environment(sk1) ),
inference(superposition,[],[f23,f27]) ).
fof(f27,plain,
! [X2,X0] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| ~ subpopulation(first_movers,X0,X2)
| ~ environment(X0) ),
inference(equality_resolution,[],[f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( number_of_organizations(X0,X2) = sum(cardinality_at_time(first_movers,X2),cardinality_at_time(efficient_producers,X2))
| first_movers != X1
| ~ subpopulation(X1,X0,X2)
| ~ environment(X0) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',mp_only_members_29) ).
fof(f23,axiom,
constant(number_of_organizations(sk1,sk2)),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',prove_l7_49) ).
fof(f63,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f26,f60,f56]) ).
fof(f26,axiom,
( ~ greater(zero,growth_rate(first_movers,sk2))
| ~ greater(growth_rate(efficient_producers,sk2),zero) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',prove_l7_52) ).
fof(f54,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f25,f51,f47]) ).
fof(f25,axiom,
( ~ greater(zero,growth_rate(efficient_producers,sk2))
| ~ greater(growth_rate(first_movers,sk2),zero) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',prove_l7_51) ).
fof(f45,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f24,f42,f38]) ).
fof(f24,axiom,
( zero != growth_rate(efficient_producers,sk2)
| zero != growth_rate(first_movers,sk2) ),
file('/export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301',prove_l7_50) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT025-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.36 % Computer : n004.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:03:53 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.1WypZ0hd0t/Vampire---4.8_24301
% 0.59/0.75 % (24696)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)
% 0.59/0.75 % (24688)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)
% 0.59/0.75 % (24689)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)
% 0.59/0.75 % (24690)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.75 % (24691)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)
% 0.59/0.75 % (24694)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)
% 0.59/0.75 % (24692)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)
% 0.59/0.75 % (24695)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)
% 0.59/0.75 % (24691)Refutation not found, incomplete strategy% (24691)------------------------------
% 0.59/0.75 % (24691)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24696)Refutation not found, incomplete strategy% (24696)------------------------------
% 0.59/0.75 % (24696)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24696)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24696)Memory used [KB]: 1094
% 0.59/0.75 % (24696)Time elapsed: 0.004 s
% 0.59/0.75 % (24696)Instructions burned: 7 (million)
% 0.59/0.75 % (24691)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24691)Memory used [KB]: 963
% 0.59/0.75 % (24691)Time elapsed: 0.003 s
% 0.59/0.75 % (24691)Instructions burned: 2 (million)
% 0.59/0.75 % (24696)------------------------------
% 0.59/0.75 % (24696)------------------------------
% 0.59/0.75 % (24691)------------------------------
% 0.59/0.75 % (24691)------------------------------
% 0.59/0.75 % (24692)Refutation not found, incomplete strategy% (24692)------------------------------
% 0.59/0.75 % (24692)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75 % (24692)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75 % (24688)Refutation not found, incomplete strategy% (24688)------------------------------
% 0.59/0.75 % (24688)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.75
% 0.59/0.75 % (24692)Memory used [KB]: 1064
% 0.59/0.75 % (24692)Time elapsed: 0.004 s
% 0.59/0.75 % (24692)Instructions burned: 4 (million)
% 0.59/0.75 % (24688)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (24688)Memory used [KB]: 1003
% 0.59/0.75 % (24688)Time elapsed: 0.004 s
% 0.59/0.75 % (24688)Instructions burned: 4 (million)
% 0.59/0.75 % (24692)------------------------------
% 0.59/0.75 % (24692)------------------------------
% 0.59/0.75 % (24688)------------------------------
% 0.59/0.75 % (24688)------------------------------
% 0.59/0.75 % (24694)First to succeed.
% 0.60/0.75 % (24700)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)
% 0.60/0.76 % (24690)Also succeeded, but the first one will report.
% 0.60/0.76 % (24694)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24554"
% 0.60/0.76 % (24695)Also succeeded, but the first one will report.
% 0.60/0.76 % (24694)Refutation found. Thanks to Tanya!
% 0.60/0.76 % SZS status Unsatisfiable for Vampire---4
% 0.60/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.76 % (24694)------------------------------
% 0.60/0.76 % (24694)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76 % (24694)Termination reason: Refutation
% 0.60/0.76
% 0.60/0.76 % (24694)Memory used [KB]: 1091
% 0.60/0.76 % (24694)Time elapsed: 0.007 s
% 0.60/0.76 % (24694)Instructions burned: 8 (million)
% 0.60/0.76 % (24554)Success in time 0.38 s
% 0.60/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------