TSTP Solution File: MGT020+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 03:21:50 EDT 2024
% Result : Theorem 0.59s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 84 ( 6 unt; 0 def)
% Number of atoms : 286 ( 12 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 366 ( 164 ~; 155 |; 26 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 115 ( 109 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f226,plain,
$false,
inference(avatar_sat_refutation,[],[f100,f121,f135,f138,f213,f224]) ).
fof(f224,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f223]) ).
fof(f223,plain,
( $false
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f220,f42]) ).
fof(f42,plain,
~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f21,f36]) ).
fof(f36,plain,
( ? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ( ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
& subpopulations(first_movers,efficient_producers,sK0,sK1)
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(flattening,[],[f20]) ).
fof(f20,plain,
? [X0,X1] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',prove_l2) ).
fof(f220,plain,
( greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
| ~ spl2_3 ),
inference(resolution,[],[f92,f41]) ).
fof(f41,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f92,plain,
( ! [X1] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)) )
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl2_3
<=> ! [X1] :
( greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f213,plain,
( spl2_4
| ~ spl2_9 ),
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f212,plain,
( $false
| spl2_4
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f198,f41]) ).
fof(f198,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| spl2_4
| ~ spl2_9 ),
inference(backward_demodulation,[],[f96,f195]) ).
fof(f195,plain,
( sK1 = initial_FM_EP(sK0)
| ~ spl2_9 ),
inference(resolution,[],[f192,f41]) ).
fof(f192,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| initial_FM_EP(sK0) = X0 )
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f190,f40]) ).
fof(f40,plain,
environment(sK0),
inference(cnf_transformation,[],[f37]) ).
fof(f190,plain,
( ! [X0] :
( initial_FM_EP(sK0) = X0
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ environment(sK0) )
| ~ spl2_9 ),
inference(duplicate_literal_removal,[],[f189]) ).
fof(f189,plain,
( ! [X0] :
( initial_FM_EP(sK0) = X0
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ environment(sK0) )
| ~ spl2_9 ),
inference(resolution,[],[f186,f43]) ).
fof(f43,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',mp_time_point_occurs) ).
fof(f186,plain,
( ! [X0] :
( ~ in_environment(sK0,X0)
| initial_FM_EP(sK0) = X0
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) )
| ~ spl2_9 ),
inference(subsumption_resolution,[],[f185,f40]) ).
fof(f185,plain,
( ! [X0] :
( initial_FM_EP(sK0) = X0
| ~ in_environment(sK0,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ environment(sK0) )
| ~ spl2_9 ),
inference(resolution,[],[f175,f46]) ).
fof(f46,plain,
! [X0,X1] :
( greater_or_equal(X1,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( ( ( greater_or_equal(X1,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1) )
& ( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ in_environment(X0,initial_FM_EP(X0)) ) )
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( environment(X0)
=> ( ( subpopulations(first_movers,efficient_producers,X0,X1)
=> greater_or_equal(X1,initial_FM_EP(X0)) )
& ( in_environment(X0,initial_FM_EP(X0))
=> subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',mp_earliest_time_point) ).
fof(f175,plain,
( ! [X0] :
( ~ greater_or_equal(X0,initial_FM_EP(sK0))
| initial_FM_EP(sK0) = X0
| ~ in_environment(sK0,X0) )
| ~ spl2_9 ),
inference(resolution,[],[f134,f49]) ).
fof(f49,plain,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( X0 = X1
| greater(X0,X1)
| ~ greater_or_equal(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
=> ( X0 = X1
| greater(X0,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X5] :
( greater_or_equal(X4,X5)
=> ( X4 = X5
| greater(X4,X5) ) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',mp_greater_or_equal) ).
fof(f134,plain,
( ! [X0] :
( ~ greater(X0,initial_FM_EP(sK0))
| ~ in_environment(sK0,X0) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f133]) ).
fof(f133,plain,
( spl2_9
<=> ! [X0] :
( ~ in_environment(sK0,X0)
| ~ greater(X0,initial_FM_EP(sK0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f96,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| spl2_4 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f94,plain,
( spl2_4
<=> subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f138,plain,
spl2_8,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| spl2_8 ),
inference(subsumption_resolution,[],[f136,f40]) ).
fof(f136,plain,
( ~ environment(sK0)
| spl2_8 ),
inference(resolution,[],[f131,f48]) ).
fof(f48,plain,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(initial_FM_EP(X0),start_time(X0)) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',mp_initial_time) ).
fof(f131,plain,
( ~ greater_or_equal(initial_FM_EP(sK0),start_time(sK0))
| spl2_8 ),
inference(avatar_component_clause,[],[f129]) ).
fof(f129,plain,
( spl2_8
<=> greater_or_equal(initial_FM_EP(sK0),start_time(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f135,plain,
( ~ spl2_8
| spl2_9
| spl2_4 ),
inference(avatar_split_clause,[],[f127,f94,f133,f129]) ).
fof(f127,plain,
( ! [X0] :
( ~ in_environment(sK0,X0)
| ~ greater(X0,initial_FM_EP(sK0))
| ~ greater_or_equal(initial_FM_EP(sK0),start_time(sK0)) )
| spl2_4 ),
inference(subsumption_resolution,[],[f125,f40]) ).
fof(f125,plain,
( ! [X0] :
( ~ in_environment(sK0,X0)
| ~ greater(X0,initial_FM_EP(sK0))
| ~ greater_or_equal(initial_FM_EP(sK0),start_time(sK0))
| ~ environment(sK0) )
| spl2_4 ),
inference(resolution,[],[f124,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( in_environment(X0,X1)
| ~ in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( in_environment(X0,X1)
| ~ in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( in_environment(X0,X1)
| ~ in_environment(X0,X2)
| ~ greater(X2,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( in_environment(X0,X2)
& greater(X2,X1)
& greater_or_equal(X1,start_time(X0))
& environment(X0) )
=> in_environment(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X2,X3] :
( ( in_environment(X0,X3)
& greater(X3,X2)
& greater_or_equal(X2,start_time(X0))
& environment(X0) )
=> in_environment(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',mp_times_in_order) ).
fof(f124,plain,
( ~ in_environment(sK0,initial_FM_EP(sK0))
| spl2_4 ),
inference(subsumption_resolution,[],[f122,f40]) ).
fof(f122,plain,
( ~ in_environment(sK0,initial_FM_EP(sK0))
| ~ environment(sK0)
| spl2_4 ),
inference(resolution,[],[f96,f45]) ).
fof(f45,plain,
! [X0] :
( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f121,plain,
( ~ spl2_4
| ~ spl2_5 ),
inference(avatar_split_clause,[],[f118,f98,f94]) ).
fof(f98,plain,
( spl2_5
<=> ! [X0] :
( ~ greater_or_equal(initial_FM_EP(sK0),X0)
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f118,plain,
( ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| ~ spl2_5 ),
inference(resolution,[],[f115,f40]) ).
fof(f115,plain,
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sK0)) )
| ~ spl2_5 ),
inference(subsumption_resolution,[],[f113,f38]) ).
fof(f38,plain,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( environment(X0)
=> greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',a8) ).
fof(f113,plain,
( ! [X0] :
( ~ greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sK0))
| ~ environment(X0) )
| ~ spl2_5 ),
inference(resolution,[],[f99,f46]) ).
fof(f99,plain,
( ! [X0] :
( ~ greater_or_equal(initial_FM_EP(sK0),X0)
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) )
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f100,plain,
( spl2_3
| ~ spl2_4
| spl2_5 ),
inference(avatar_split_clause,[],[f89,f98,f94,f91]) ).
fof(f89,plain,
! [X0,X1] :
( ~ greater_or_equal(initial_FM_EP(sK0),X0)
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) ),
inference(duplicate_literal_removal,[],[f88]) ).
fof(f88,plain,
! [X0,X1] :
( ~ greater_or_equal(initial_FM_EP(sK0),X0)
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X1) ),
inference(resolution,[],[f84,f40]) ).
fof(f84,plain,
! [X2,X0,X1] :
( ~ environment(X1)
| ~ greater_or_equal(initial_FM_EP(X1),X2)
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(X1))
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0) ),
inference(resolution,[],[f80,f46]) ).
fof(f80,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,sK0,X0)
| ~ greater_or_equal(X1,X2)
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,sK0,X1)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
inference(resolution,[],[f77,f40]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| ~ greater_or_equal(X2,X3)
| ~ greater_or_equal(X3,X0)
| ~ greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ subpopulations(first_movers,efficient_producers,sK0,X3)
| greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ),
inference(resolution,[],[f75,f40]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( ~ environment(X4)
| ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X2,X0)
| ~ greater_or_equal(X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X4,X3)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)) ),
inference(resolution,[],[f44,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ( subpopulations(first_movers,efficient_producers,X0,X1)
& environment(X0) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',l3) ).
fof(f44,plain,
! [X2,X3,X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X1,X2)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X1,X2)
| ~ environment(X0) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X1,X2)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
& subpopulations(first_movers,efficient_producers,X0,X3)
& greater_or_equal(X3,X1)
& greater_or_equal(X1,X2)
& environment(X0) )
=> ( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
=> greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)) ) ),
file('/export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510',mp_positive_function_difference) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : MGT020+1 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.15 % 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
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Apr 30 18:12:12 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.R0WnRVsil2/Vampire---4.8_9510
% 0.59/0.74 % (9776)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 % (9769)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 % (9770)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 % (9772)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 % (9771)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 % (9773)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 % (9774)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 % (9772)Refutation not found, incomplete strategy% (9772)------------------------------
% 0.59/0.75 % (9772)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.75 % (9772)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.75
% 0.59/0.75 % (9772)Memory used [KB]: 969
% 0.59/0.75 % (9772)Time elapsed: 0.003 s
% 0.59/0.75 % (9772)Instructions burned: 2 (million)
% 0.59/0.75 % (9772)------------------------------
% 0.59/0.75 % (9772)------------------------------
% 0.59/0.76 % (9771)First to succeed.
% 0.59/0.76 % (9771)Refutation found. Thanks to Tanya!
% 0.59/0.76 % SZS status Theorem for Vampire---4
% 0.59/0.76 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.76 % (9771)------------------------------
% 0.59/0.76 % (9771)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76 % (9771)Termination reason: Refutation
% 0.59/0.76
% 0.59/0.76 % (9771)Memory used [KB]: 1166
% 0.59/0.76 % (9771)Time elapsed: 0.013 s
% 0.59/0.76 % (9771)Instructions burned: 17 (million)
% 0.59/0.76 % (9771)------------------------------
% 0.59/0.76 % (9771)------------------------------
% 0.59/0.76 % (9765)Success in time 0.38 s
% 0.59/0.76 % Vampire---4.8 exiting
%------------------------------------------------------------------------------