TSTP Solution File: MGT020+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n007.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 Aug 31 17:51:24 EDT 2022
% Result : Theorem 1.45s 0.56s
% Output : Refutation 1.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 10
% Syntax : Number of formulae : 78 ( 6 unt; 0 def)
% Number of atoms : 301 ( 25 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 389 ( 166 ~; 168 |; 33 &)
% ( 0 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 145 ( 139 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f166,plain,
$false,
inference(subsumption_resolution,[],[f165,f54]) ).
fof(f54,plain,
environment(sK0),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( subpopulations(first_movers,efficient_producers,sK0,sK1)
& ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
& environment(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f35,f43]) ).
fof(f43,plain,
( ? [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
& ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& environment(X0) )
=> ( subpopulations(first_movers,efficient_producers,sK0,sK1)
& ~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
& environment(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
? [X0,X1] :
( subpopulations(first_movers,efficient_producers,X0,X1)
& ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& environment(X0) ),
inference(flattening,[],[f34]) ).
fof(f34,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/benchmark/theBenchmark.p',prove_l2) ).
fof(f165,plain,
~ environment(sK0),
inference(subsumption_resolution,[],[f148,f55]) ).
fof(f55,plain,
~ greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1)),
inference(cnf_transformation,[],[f44]) ).
fof(f148,plain,
( greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
| ~ environment(sK0) ),
inference(superposition,[],[f52,f142]) ).
fof(f142,plain,
sK1 = initial_FM_EP(sK0),
inference(subsumption_resolution,[],[f141,f54]) ).
fof(f141,plain,
( ~ environment(sK0)
| sK1 = initial_FM_EP(sK0) ),
inference(duplicate_literal_removal,[],[f140]) ).
fof(f140,plain,
( ~ environment(sK0)
| sK1 = initial_FM_EP(sK0)
| sK1 = initial_FM_EP(sK0) ),
inference(resolution,[],[f139,f83]) ).
fof(f83,plain,
( subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| sK1 = initial_FM_EP(sK0) ),
inference(subsumption_resolution,[],[f82,f54]) ).
fof(f82,plain,
( subpopulations(first_movers,efficient_producers,sK0,initial_FM_EP(sK0))
| ~ environment(sK0)
| sK1 = initial_FM_EP(sK0) ),
inference(resolution,[],[f81,f56]) ).
fof(f56,plain,
subpopulations(first_movers,efficient_producers,sK0,sK1),
inference(cnf_transformation,[],[f44]) ).
fof(f81,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| initial_FM_EP(X0) = X1
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( initial_FM_EP(X0) = X1
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ environment(X0)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution,[],[f78,f58]) ).
fof(f58,plain,
! [X0] :
( ~ in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ~ environment(X0)
| ( ( subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ in_environment(X0,initial_FM_EP(X0)) )
& ( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,initial_FM_EP(X0)) ) ) ),
inference(rectify,[],[f38]) ).
fof(f38,plain,
! [X1,X0] :
( ~ environment(X1)
| ( ( subpopulations(first_movers,efficient_producers,X1,initial_FM_EP(X1))
| ~ in_environment(X1,initial_FM_EP(X1)) )
& ( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| greater_or_equal(X0,initial_FM_EP(X1)) ) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( environment(X1)
=> ( ( subpopulations(first_movers,efficient_producers,X1,X0)
=> greater_or_equal(X0,initial_FM_EP(X1)) )
& ( in_environment(X1,initial_FM_EP(X1))
=> subpopulations(first_movers,efficient_producers,X1,initial_FM_EP(X1)) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X0] :
( environment(X0)
=> ( ( in_environment(X0,initial_FM_EP(X0))
=> subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) )
& ( subpopulations(first_movers,efficient_producers,X0,X1)
=> greater_or_equal(X1,initial_FM_EP(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_point) ).
fof(f78,plain,
! [X0,X1] :
( in_environment(X0,initial_FM_EP(X0))
| initial_FM_EP(X0) = X1
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(subsumption_resolution,[],[f77,f61]) ).
fof(f61,plain,
! [X0,X1] :
( in_environment(X1,X0)
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( in_environment(X1,X0)
| ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ environment(X1) ),
inference(rectify,[],[f37]) ).
fof(f37,plain,
! [X1,X0] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(flattening,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( in_environment(X0,X1)
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> in_environment(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occurs) ).
fof(f77,plain,
! [X0,X1] :
( initial_FM_EP(X0) = X1
| in_environment(X0,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ in_environment(X0,X1)
| ~ environment(X0) ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( ~ in_environment(X0,X1)
| in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0)
| ~ environment(X0)
| initial_FM_EP(X0) = X1
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution,[],[f69,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ greater(X1,initial_FM_EP(X0))
| in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(duplicate_literal_removal,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ~ greater(X1,initial_FM_EP(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ environment(X0)
| in_environment(X0,initial_FM_EP(X0)) ),
inference(resolution,[],[f59,f60]) ).
fof(f60,plain,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,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/benchmark/theBenchmark.p',mp_initial_time) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(X1,start_time(X2))
| ~ in_environment(X2,X0)
| ~ environment(X2)
| in_environment(X2,X1)
| ~ greater(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| in_environment(X2,X1)
| ~ greater_or_equal(X1,start_time(X2))
| ~ environment(X2)
| ~ in_environment(X2,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X1,X2,X0] :
( ~ greater(X1,X2)
| in_environment(X0,X2)
| ~ greater_or_equal(X2,start_time(X0))
| ~ environment(X0)
| ~ in_environment(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( in_environment(X0,X2)
| ~ greater_or_equal(X2,start_time(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(X1,X2) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ( greater_or_equal(X2,start_time(X0))
& in_environment(X0,X1)
& environment(X0)
& greater(X1,X2) )
=> in_environment(X0,X2) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X0,X3,X2] :
( ( in_environment(X0,X3)
& environment(X0)
& greater_or_equal(X2,start_time(X0))
& greater(X3,X2) )
=> in_environment(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_times_in_order) ).
fof(f69,plain,
! [X2,X1] :
( greater(X2,initial_FM_EP(X1))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X2)
| initial_FM_EP(X1) = X2 ),
inference(resolution,[],[f57,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ~ greater_or_equal(X1,X0)
| X0 = X1
| greater(X1,X0) ),
inference(flattening,[],[f32]) ).
fof(f32,plain,
! [X1,X0] :
( greater(X1,X0)
| X0 = X1
| ~ greater_or_equal(X1,X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X1,X0] :
( greater_or_equal(X1,X0)
=> ( greater(X1,X0)
| X0 = X1 ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X5,X4] :
( greater_or_equal(X4,X5)
=> ( X4 = X5
| greater(X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal) ).
fof(f57,plain,
! [X0,X1] :
( greater_or_equal(X1,initial_FM_EP(X0))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f139,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sK0))
| sK1 = initial_FM_EP(sK0)
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f138,f54]) ).
fof(f138,plain,
! [X0] :
( sK1 = initial_FM_EP(sK0)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sK0))
| ~ environment(X0)
| ~ environment(sK0) ),
inference(subsumption_resolution,[],[f137,f56]) ).
fof(f137,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sK0,sK1)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sK0))
| sK1 = initial_FM_EP(sK0)
| ~ environment(sK0)
| ~ environment(X0) ),
inference(resolution,[],[f136,f57]) ).
fof(f136,plain,
! [X0] :
( ~ greater_or_equal(sK1,initial_FM_EP(sK0))
| ~ environment(X0)
| sK1 = initial_FM_EP(sK0)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sK0)) ),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sK0))
| ~ greater_or_equal(sK1,initial_FM_EP(sK0))
| ~ environment(X0)
| ~ environment(X0)
| sK1 = initial_FM_EP(sK0) ),
inference(resolution,[],[f132,f57]) ).
fof(f132,plain,
! [X1] :
( ~ greater_or_equal(initial_FM_EP(sK0),initial_FM_EP(X1))
| ~ environment(X1)
| sK1 = initial_FM_EP(sK0)
| ~ greater_or_equal(sK1,initial_FM_EP(sK0)) ),
inference(subsumption_resolution,[],[f130,f54]) ).
fof(f130,plain,
! [X1] :
( ~ environment(X1)
| ~ environment(sK0)
| sK1 = initial_FM_EP(sK0)
| ~ greater_or_equal(sK1,initial_FM_EP(sK0))
| ~ greater_or_equal(initial_FM_EP(sK0),initial_FM_EP(X1)) ),
inference(resolution,[],[f128,f83]) ).
fof(f128,plain,
! [X2,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X2,X0)
| ~ greater_or_equal(X0,initial_FM_EP(X1))
| ~ environment(X1)
| ~ environment(X2)
| ~ greater_or_equal(sK1,X0) ),
inference(subsumption_resolution,[],[f127,f55]) ).
fof(f127,plain,
! [X2,X0,X1] :
( ~ environment(X2)
| ~ greater_or_equal(sK1,X0)
| ~ greater_or_equal(X0,initial_FM_EP(X1))
| ~ environment(X1)
| greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
| ~ subpopulations(first_movers,efficient_producers,X2,X0) ),
inference(subsumption_resolution,[],[f125,f54]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ greater_or_equal(sK1,X0)
| ~ environment(sK0)
| ~ subpopulations(first_movers,efficient_producers,X2,X0)
| ~ greater_or_equal(X0,initial_FM_EP(X1))
| greater(disbanding_rate(first_movers,sK1),disbanding_rate(efficient_producers,sK1))
| ~ environment(X2)
| ~ environment(X1) ),
inference(resolution,[],[f123,f56]) ).
fof(f123,plain,
! [X2,X3,X0,X1,X4] :
( ~ subpopulations(first_movers,efficient_producers,X4,X0)
| ~ greater_or_equal(X0,X1)
| ~ greater_or_equal(X1,initial_FM_EP(X3))
| ~ subpopulations(first_movers,efficient_producers,X2,X1)
| ~ environment(X4)
| greater(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))
| ~ environment(X3)
| ~ environment(X2) ),
inference(resolution,[],[f106,f52]) ).
fof(f106,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater_or_equal(X3,X0)
| ~ subpopulations(first_movers,efficient_producers,X4,X0)
| ~ environment(X4)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ greater_or_equal(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X2,X3)
| ~ environment(X2) ),
inference(resolution,[],[f53,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X1,X0] :
( ~ subpopulations(first_movers,efficient_producers,X1,X0)
| ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ environment(X1) ),
inference(flattening,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ environment(X1)
| ~ subpopulations(first_movers,efficient_producers,X1,X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( ( environment(X1)
& subpopulations(first_movers,efficient_producers,X1,X0) )
=> ~ decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0))) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( ( environment(X0)
& subpopulations(first_movers,efficient_producers,X0,X1) )
=> ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3) ).
fof(f53,plain,
! [X2,X3,X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
| ~ greater_or_equal(X3,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,X3)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater_or_equal(X3,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ greater_or_equal(X1,X3)
| ~ environment(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0,X2,X1,X3] :
( greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X2)
| decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
| ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater_or_equal(X2,X3)
| ~ environment(X0) ),
inference(flattening,[],[f22]) ).
fof(f22,plain,
! [X1,X2,X3,X0] :
( greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
| ~ greater_or_equal(X3,X1)
| ~ greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ environment(X0)
| ~ greater_or_equal(X2,X3)
| ~ subpopulations(first_movers,efficient_producers,X0,X2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,plain,
! [X1,X2,X3,X0] :
( ( greater_or_equal(X3,X1)
& greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
& environment(X0)
& greater_or_equal(X2,X3)
& subpopulations(first_movers,efficient_producers,X0,X2) )
=> ( ~ decreases(difference(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3)))
=> greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2)) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X3,X1] :
( ( greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
& greater_or_equal(X3,X1)
& subpopulations(first_movers,efficient_producers,X0,X3)
& environment(X0)
& greater_or_equal(X1,X2) )
=> ( ~ 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/benchmark/theBenchmark.p',mp_positive_function_difference) ).
fof(f52,plain,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,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/benchmark/theBenchmark.p',a8) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : MGT020+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 30 02:58:45 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.21/0.49 % (8711)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.49 % (8719)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.51 % (8704)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.52 % (8706)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.53 % (8703)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (8700)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (8702)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 % (8700)Refutation not found, incomplete strategy% (8700)------------------------------
% 0.21/0.53 % (8700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (8700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (8700)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (8700)Memory used [KB]: 5373
% 0.21/0.53 % (8700)Time elapsed: 0.128 s
% 0.21/0.53 % (8700)Instructions burned: 2 (million)
% 0.21/0.53 % (8700)------------------------------
% 0.21/0.53 % (8700)------------------------------
% 0.21/0.53 % (8708)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (8707)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (8707)Instruction limit reached!
% 0.21/0.54 % (8707)------------------------------
% 0.21/0.54 % (8707)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (8707)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (8707)Termination reason: Unknown
% 0.21/0.54 % (8707)Termination phase: Preprocessing 2
% 0.21/0.54
% 0.21/0.54 % (8707)Memory used [KB]: 895
% 0.21/0.54 % (8707)Time elapsed: 0.003 s
% 0.21/0.54 % (8707)Instructions burned: 2 (million)
% 0.21/0.54 % (8707)------------------------------
% 0.21/0.54 % (8707)------------------------------
% 0.21/0.54 % (8718)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (8699)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.54 % (8717)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54 % (8721)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.54 % (8728)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.54 % (8706)Instruction limit reached!
% 0.21/0.54 % (8706)------------------------------
% 0.21/0.54 % (8706)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (8723)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54 % (8715)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.54 % (8701)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (8726)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54 % (8709)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54 % (8722)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (8721)First to succeed.
% 0.21/0.55 % (8724)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55 % (8727)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55 % (8714)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.55 % (8710)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 TRYING [1]
% 0.21/0.55 TRYING [2]
% 0.21/0.55 % (8725)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.55 TRYING [3]
% 0.21/0.55 % (8706)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55 % (8706)Termination reason: Unknown
% 0.21/0.55 % (8706)Termination phase: Saturation
% 0.21/0.55
% 0.21/0.55 % (8706)Memory used [KB]: 5500
% 0.21/0.55 % (8706)Time elapsed: 0.120 s
% 0.21/0.55 % (8706)Instructions burned: 7 (million)
% 0.21/0.55 % (8706)------------------------------
% 0.21/0.55 % (8706)------------------------------
% 0.21/0.55 % (8720)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (8705)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55 % (8713)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.55 % (8712)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (8716)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.56 TRYING [1]
% 1.45/0.56 % (8721)Refutation found. Thanks to Tanya!
% 1.45/0.56 % SZS status Theorem for theBenchmark
% 1.45/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.45/0.56 % (8721)------------------------------
% 1.45/0.56 % (8721)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.45/0.56 % (8721)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.45/0.56 % (8721)Termination reason: Refutation
% 1.45/0.56
% 1.45/0.56 % (8721)Memory used [KB]: 1023
% 1.45/0.56 % (8721)Time elapsed: 0.100 s
% 1.45/0.56 % (8721)Instructions burned: 9 (million)
% 1.45/0.56 % (8721)------------------------------
% 1.45/0.56 % (8721)------------------------------
% 1.45/0.56 % (8698)Success in time 0.2 s
%------------------------------------------------------------------------------