TSTP Solution File: MGT026+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : MGT026+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 : n010.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 03:21:52 EDT 2024
% Result : Theorem 0.53s 0.74s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 104 ( 10 unt; 0 def)
% Number of atoms : 327 ( 18 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 386 ( 163 ~; 151 |; 46 &)
% ( 6 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 5 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 129 ( 125 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f196,plain,
$false,
inference(avatar_sat_refutation,[],[f78,f92,f106,f117,f160,f195]) ).
fof(f195,plain,
( ~ spl2_1
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f194]) ).
fof(f194,plain,
( $false
| ~ spl2_1
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f193,f188]) ).
fof(f188,plain,
( ~ greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f43,f46,f180,f51]) ).
fof(f51,plain,
! [X2,X3,X0,X1] :
( ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0)
| selection_favors(X2,X1,X3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( selection_favors(X2,X1,X3)
| ~ greater(growth_rate(X2,X3),growth_rate(X1,X3))
| ~ subpopulations(X1,X2,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1,X2,X3] :
( ( greater(growth_rate(X2,X3),growth_rate(X1,X3))
& subpopulations(X1,X2,X0,X3)
& environment(X0) )
=> selection_favors(X2,X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',mp1_high_growth_rates) ).
fof(f180,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_1
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f43,f44,f73,f177,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f31]) ).
fof(f31,plain,
! [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( ( greater(cardinality_at_time(efficient_producers,X1),zero)
& greater(cardinality_at_time(first_movers,X1),zero)
& in_environment(X0,X1)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X3] :
( ( greater(cardinality_at_time(efficient_producers,X3),zero)
& greater(cardinality_at_time(first_movers,X3),zero)
& in_environment(X0,X3)
& environment(X0) )
=> subpopulations(first_movers,efficient_producers,X0,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',mp_non_empty_fm_and_ep) ).
fof(f177,plain,
( greater(cardinality_at_time(efficient_producers,sK1),zero)
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f43,f44,f174,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( ( greater_or_equal(X1,appear(efficient_producers,X0))
& in_environment(X0,X1)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X1),zero) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X0,X3] :
( ( greater_or_equal(X3,appear(efficient_producers,X0))
& in_environment(X0,X3)
& environment(X0) )
=> greater(cardinality_at_time(efficient_producers,X3),zero) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',t6) ).
fof(f174,plain,
( greater_or_equal(sK1,appear(efficient_producers,sK0))
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f161,f48]) ).
fof(f48,plain,
! [X0,X1] :
( greater_or_equal(X0,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f16,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.CqT10KATSp/Vampire---4.8_8883',mp_greater_or_equal) ).
fof(f161,plain,
( greater(sK1,appear(efficient_producers,sK0))
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f45,f87,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ greater(X1,X2)
| ~ greater(X0,X1)
| greater(X0,X2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X1,X2] :
( greater(X0,X2)
| ~ greater(X1,X2)
| ~ greater(X0,X1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( greater(X1,X2)
& greater(X0,X1) )
=> greater(X0,X2) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X4,X5,X6] :
( ( greater(X5,X6)
& greater(X4,X5) )
=> greater(X4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',mp_greater_transitivity) ).
fof(f87,plain,
( greater(critical_point(sK0),appear(efficient_producers,sK0))
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl2_3
<=> greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f45,plain,
greater(sK1,critical_point(sK0)),
inference(cnf_transformation,[],[f26]) ).
fof(f26,plain,
? [X0,X1] :
( ~ selection_favors(efficient_producers,first_movers,X1)
& greater(X1,critical_point(X0))
& in_environment(X0,X1)
& environment(X0) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
? [X0,X1] :
( ~ selection_favors(efficient_producers,first_movers,X1)
& greater(X1,critical_point(X0))
& in_environment(X0,X1)
& environment(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1] :
( ( greater(X1,critical_point(X0))
& in_environment(X0,X1)
& environment(X0) )
=> selection_favors(efficient_producers,first_movers,X1) ),
inference(rectify,[],[f12]) ).
fof(f12,negated_conjecture,
~ ! [X0,X3] :
( ( greater(X3,critical_point(X0))
& in_environment(X0,X3)
& environment(X0) )
=> selection_favors(efficient_producers,first_movers,X3) ),
inference(negated_conjecture,[],[f11]) ).
fof(f11,conjecture,
! [X0,X3] :
( ( greater(X3,critical_point(X0))
& in_environment(X0,X3)
& environment(X0) )
=> selection_favors(efficient_producers,first_movers,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',prove_l8) ).
fof(f73,plain,
( greater(cardinality_at_time(first_movers,sK1),zero)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl2_1
<=> greater(cardinality_at_time(first_movers,sK1),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f44,plain,
in_environment(sK0,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f46,plain,
~ selection_favors(efficient_producers,first_movers,sK1),
inference(cnf_transformation,[],[f26]) ).
fof(f43,plain,
environment(sK0),
inference(cnf_transformation,[],[f26]) ).
fof(f193,plain,
( greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f192,f45]) ).
fof(f192,plain,
( ~ greater(sK1,critical_point(sK0))
| greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f189,f43]) ).
fof(f189,plain,
( ~ environment(sK0)
| ~ greater(sK1,critical_point(sK0))
| greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_3 ),
inference(resolution,[],[f180,f59]) ).
fof(f59,plain,
! [X2,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ environment(X0)
| ~ greater(X2,critical_point(X0))
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ environment(X0)
| critical_point(X0) != X1
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| ~ greater(X2,X1)
| greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(flattening,[],[f21]) ).
fof(f21,plain,
! [X0,X1] :
( ( ! [X2] :
( greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2))
| ~ greater(X2,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) )
| critical_point(X0) != X1
| ~ environment(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X0,X1] :
( ( critical_point(X0) = X1
& environment(X0) )
=> ( ! [X2] :
( ( greater(X2,X1)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)) )
& ~ greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X7] :
( ( critical_point(X0) = X7
& environment(X0) )
=> ( ! [X3] :
( ( greater(X3,X7)
& subpopulations(first_movers,efficient_producers,X0,X3) )
=> greater(growth_rate(efficient_producers,X3),growth_rate(first_movers,X3)) )
& ~ greater(growth_rate(efficient_producers,X7),growth_rate(first_movers,X7)) ) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',d1) ).
fof(f160,plain,
( ~ spl2_1
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f159,plain,
( $false
| ~ spl2_1
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f158,f153]) ).
fof(f153,plain,
( ~ greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_4 ),
inference(unit_resulting_resolution,[],[f43,f46,f145,f51]) ).
fof(f145,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ spl2_1
| ~ spl2_4 ),
inference(unit_resulting_resolution,[],[f43,f44,f73,f141,f52]) ).
fof(f141,plain,
( greater(cardinality_at_time(efficient_producers,sK1),zero)
| ~ spl2_4 ),
inference(unit_resulting_resolution,[],[f44,f66,f127]) ).
fof(f127,plain,
( ! [X0] :
( greater(cardinality_at_time(efficient_producers,X0),zero)
| ~ in_environment(sK0,X0)
| ~ greater_or_equal(X0,critical_point(sK0)) )
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f125,f43]) ).
fof(f125,plain,
( ! [X0] :
( ~ greater_or_equal(X0,critical_point(sK0))
| ~ in_environment(sK0,X0)
| ~ environment(sK0)
| greater(cardinality_at_time(efficient_producers,X0),zero) )
| ~ spl2_4 ),
inference(superposition,[],[f42,f91]) ).
fof(f91,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl2_4
<=> critical_point(sK0) = appear(efficient_producers,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f66,plain,
greater_or_equal(sK1,critical_point(sK0)),
inference(unit_resulting_resolution,[],[f45,f48]) ).
fof(f158,plain,
( greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f157,f45]) ).
fof(f157,plain,
( ~ greater(sK1,critical_point(sK0))
| greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f154,f43]) ).
fof(f154,plain,
( ~ environment(sK0)
| ~ greater(sK1,critical_point(sK0))
| greater(growth_rate(efficient_producers,sK1),growth_rate(first_movers,sK1))
| ~ spl2_1
| ~ spl2_4 ),
inference(resolution,[],[f145,f59]) ).
fof(f117,plain,
( ~ spl2_2
| ~ spl2_4 ),
inference(avatar_contradiction_clause,[],[f116]) ).
fof(f116,plain,
( $false
| ~ spl2_2
| ~ spl2_4 ),
inference(subsumption_resolution,[],[f115,f45]) ).
fof(f115,plain,
( ~ greater(sK1,critical_point(sK0))
| ~ spl2_2
| ~ spl2_4 ),
inference(forward_demodulation,[],[f111,f91]) ).
fof(f111,plain,
( ~ greater(sK1,appear(efficient_producers,sK0))
| ~ spl2_2 ),
inference(resolution,[],[f97,f48]) ).
fof(f97,plain,
( ~ greater_or_equal(sK1,appear(efficient_producers,sK0))
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f43,f44,f79,f42]) ).
fof(f79,plain,
( ~ greater(cardinality_at_time(efficient_producers,sK1),zero)
| ~ spl2_2 ),
inference(unit_resulting_resolution,[],[f43,f46,f63,f62,f77,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( zero != cardinality_at_time(X2,X3)
| ~ subpopulation(X1,X0,X3)
| ~ subpopulation(X2,X0,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ environment(X0)
| selection_favors(X1,X2,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X2,X3)
| zero != cardinality_at_time(X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( selection_favors(X1,X2,X3)
| zero != cardinality_at_time(X2,X3)
| ~ greater(cardinality_at_time(X1,X3),zero)
| ~ subpopulation(X2,X0,X3)
| ~ subpopulation(X1,X0,X3)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( ( zero = cardinality_at_time(X2,X3)
& greater(cardinality_at_time(X1,X3),zero)
& subpopulation(X2,X0,X3)
& subpopulation(X1,X0,X3)
& environment(X0) )
=> selection_favors(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',mp2_favour_members) ).
fof(f77,plain,
( zero = cardinality_at_time(first_movers,sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f75,plain,
( spl2_2
<=> zero = cardinality_at_time(first_movers,sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f62,plain,
subpopulation(first_movers,sK0,sK1),
inference(unit_resulting_resolution,[],[f43,f44,f56]) ).
fof(f56,plain,
! [X0,X1] :
( subpopulation(first_movers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) )
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X1)
& subpopulation(first_movers,X0,X1) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> ( subpopulation(efficient_producers,X0,X3)
& subpopulation(first_movers,X0,X3) ) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',mp_subpopulations) ).
fof(f63,plain,
subpopulation(efficient_producers,sK0,sK1),
inference(unit_resulting_resolution,[],[f43,f44,f57]) ).
fof(f57,plain,
! [X0,X1] :
( subpopulation(efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f106,plain,
( ~ spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f105]) ).
fof(f105,plain,
( $false
| ~ spl2_2
| ~ spl2_3 ),
inference(subsumption_resolution,[],[f103,f97]) ).
fof(f103,plain,
( greater_or_equal(sK1,appear(efficient_producers,sK0))
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f94,f48]) ).
fof(f94,plain,
( greater(sK1,appear(efficient_producers,sK0))
| ~ spl2_3 ),
inference(unit_resulting_resolution,[],[f45,f87,f53]) ).
fof(f92,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f83,f89,f85]) ).
fof(f83,plain,
( critical_point(sK0) = appear(efficient_producers,sK0)
| greater(critical_point(sK0),appear(efficient_producers,sK0)) ),
inference(resolution,[],[f61,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f16]) ).
fof(f61,plain,
greater_or_equal(critical_point(sK0),appear(efficient_producers,sK0)),
inference(unit_resulting_resolution,[],[f43,f55]) ).
fof(f55,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0] :
( greater_or_equal(critical_point(X0),appear(efficient_producers,X0))
| ~ environment(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( environment(X0)
=> greater_or_equal(critical_point(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',mp_critical_point_after_EP) ).
fof(f78,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f69,f75,f71]) ).
fof(f69,plain,
( zero = cardinality_at_time(first_movers,sK1)
| greater(cardinality_at_time(first_movers,sK1),zero) ),
inference(resolution,[],[f64,f47]) ).
fof(f64,plain,
greater_or_equal(cardinality_at_time(first_movers,sK1),zero),
inference(unit_resulting_resolution,[],[f43,f44,f54]) ).
fof(f54,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( greater_or_equal(cardinality_at_time(first_movers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ( in_environment(X0,X1)
& environment(X0) )
=> greater_or_equal(cardinality_at_time(first_movers,X1),zero) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X3] :
( ( in_environment(X0,X3)
& environment(X0) )
=> greater_or_equal(cardinality_at_time(first_movers,X3),zero) ),
file('/export/starexec/sandbox/tmp/tmp.CqT10KATSp/Vampire---4.8_8883',mp_first_movers_exist) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT026+1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 17:57:49 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.36 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.CqT10KATSp/Vampire---4.8_8883
% 0.53/0.73 % (8998)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)
% 0.53/0.73 % (8992)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)
% 0.53/0.73 % (8993)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)
% 0.53/0.73 % (8994)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73 % (8997)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)
% 0.53/0.73 % (8999)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)
% 0.53/0.73 % (8996)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)
% 0.53/0.73 % (8995)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)
% 0.53/0.73 % (8998)First to succeed.
% 0.53/0.74 % (8998)Refutation found. Thanks to Tanya!
% 0.53/0.74 % SZS status Theorem for Vampire---4
% 0.53/0.74 % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.74 % (8998)------------------------------
% 0.53/0.74 % (8998)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.53/0.74 % (8998)Termination reason: Refutation
% 0.53/0.74
% 0.53/0.74 % (8998)Memory used [KB]: 1083
% 0.53/0.74 % (8998)Time elapsed: 0.006 s
% 0.53/0.74 % (8998)Instructions burned: 11 (million)
% 0.53/0.74 % (8998)------------------------------
% 0.53/0.74 % (8998)------------------------------
% 0.53/0.74 % (8991)Success in time 0.373 s
% 0.53/0.74 % Vampire---4.8 exiting
%------------------------------------------------------------------------------