TSTP Solution File: MGT020-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.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 17:50:55 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 6 unt; 0 def)
% Number of atoms : 153 ( 23 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 215 ( 102 ~; 113 |; 0 &)
% ( 0 <=>; 0 =>; 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 : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f123,plain,
$false,
inference(subsumption_resolution,[],[f122,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l2_33) ).
fof(f122,plain,
~ environment(sk1),
inference(subsumption_resolution,[],[f99,f14]) ).
fof(f14,axiom,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l2_35) ).
fof(f99,plain,
( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))
| ~ environment(sk1) ),
inference(superposition,[],[f10,f91]) ).
fof(f91,plain,
sk2 = initial_FM_EP(sk1),
inference(subsumption_resolution,[],[f90,f12]) ).
fof(f90,plain,
( sk2 = initial_FM_EP(sk1)
| ~ environment(sk1) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
( ~ environment(sk1)
| sk2 = initial_FM_EP(sk1)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f88,f60]) ).
fof(f60,plain,
( subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f59,f12]) ).
fof(f59,plain,
( sk2 = initial_FM_EP(sk1)
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| ~ environment(sk1) ),
inference(resolution,[],[f45,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l2_34) ).
fof(f45,plain,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ environment(X0)
| initial_FM_EP(X0) = X1 ),
inference(duplicate_literal_removal,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ~ environment(X0)
| initial_FM_EP(X0) = X1
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
inference(resolution,[],[f31,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ in_environment(X0,initial_FM_EP(X0))
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_point_23) ).
fof(f31,plain,
! [X2,X3] :
( in_environment(X2,initial_FM_EP(X2))
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X3)
| initial_FM_EP(X2) = X3 ),
inference(subsumption_resolution,[],[f30,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_time_point_occurs_26) ).
fof(f30,plain,
! [X2,X3] :
( ~ in_environment(X2,X3)
| initial_FM_EP(X2) = X3
| in_environment(X2,initial_FM_EP(X2))
| ~ environment(X2)
| ~ subpopulations(first_movers,efficient_producers,X2,X3) ),
inference(duplicate_literal_removal,[],[f28]) ).
fof(f28,plain,
! [X2,X3] :
( ~ in_environment(X2,X3)
| ~ subpopulations(first_movers,efficient_producers,X2,X3)
| initial_FM_EP(X2) = X3
| ~ environment(X2)
| in_environment(X2,initial_FM_EP(X2))
| ~ environment(X2) ),
inference(resolution,[],[f20,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ greater(X0,initial_FM_EP(X1))
| ~ in_environment(X1,X0)
| ~ environment(X1)
| in_environment(X1,initial_FM_EP(X1)) ),
inference(duplicate_literal_removal,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ~ environment(X1)
| ~ greater(X0,initial_FM_EP(X1))
| ~ environment(X1)
| in_environment(X1,initial_FM_EP(X1))
| ~ in_environment(X1,X0) ),
inference(resolution,[],[f7,f6]) ).
fof(f6,axiom,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_initial_time_27) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ greater_or_equal(X1,start_time(X0))
| ~ greater(X2,X1)
| ~ environment(X0)
| in_environment(X0,X1)
| ~ in_environment(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_times_in_order_28) ).
fof(f20,plain,
! [X0,X1] :
( greater(X1,initial_FM_EP(X0))
| initial_FM_EP(X0) = X1
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
inference(resolution,[],[f3,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_greater_or_equal_30) ).
fof(f3,axiom,
! [X0,X1] :
( greater_or_equal(X1,initial_FM_EP(X0))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_earliest_time_point_24) ).
fof(f88,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sk1))
| ~ environment(X0)
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f87,f13]) ).
fof(f87,plain,
! [X0] :
( ~ environment(X0)
| sk2 = initial_FM_EP(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sk1)) ),
inference(subsumption_resolution,[],[f86,f12]) ).
fof(f86,plain,
! [X0] :
( ~ environment(sk1)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sk1))
| ~ environment(X0)
| sk2 = initial_FM_EP(sk1)
| ~ subpopulations(first_movers,efficient_producers,sk1,sk2) ),
inference(resolution,[],[f83,f3]) ).
fof(f83,plain,
! [X0] :
( ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(duplicate_literal_removal,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ~ environment(X0)
| ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f81,f3]) ).
fof(f81,plain,
! [X0] :
( ~ greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(X0))
| sk2 = initial_FM_EP(sk1)
| ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| ~ environment(X0) ),
inference(subsumption_resolution,[],[f80,f12]) ).
fof(f80,plain,
! [X0] :
( ~ environment(X0)
| sk2 = initial_FM_EP(sk1)
| ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| ~ environment(sk1)
| ~ greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(X0)) ),
inference(subsumption_resolution,[],[f77,f14]) ).
fof(f77,plain,
! [X0] :
( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))
| sk2 = initial_FM_EP(sk1)
| ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| ~ greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(X0))
| ~ environment(sk1)
| ~ environment(X0) ),
inference(resolution,[],[f70,f13]) ).
fof(f70,plain,
! [X6,X4,X5] :
( ~ subpopulations(first_movers,efficient_producers,X6,X4)
| ~ greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(X5))
| ~ environment(X5)
| ~ greater_or_equal(X4,initial_FM_EP(sk1))
| ~ environment(X6)
| greater(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f66,f12]) ).
fof(f66,plain,
! [X6,X4,X5] :
( ~ greater_or_equal(X4,initial_FM_EP(sk1))
| greater(disbanding_rate(first_movers,X4),disbanding_rate(efficient_producers,X4))
| ~ subpopulations(first_movers,efficient_producers,X6,X4)
| ~ environment(sk1)
| ~ environment(X5)
| ~ greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(X5))
| ~ environment(X6)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f60,f36]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X4] :
( ~ subpopulations(first_movers,efficient_producers,X4,X2)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ greater_or_equal(X2,initial_FM_EP(X3))
| ~ environment(X4)
| ~ greater_or_equal(X1,X2)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ environment(X3) ),
inference(resolution,[],[f26,f10]) ).
fof(f26,plain,
! [X2,X3,X0,X1,X4] :
( ~ greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X2,X3)
| greater(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))
| ~ subpopulations(first_movers,efficient_producers,X4,X2)
| ~ environment(X4) ),
inference(resolution,[],[f4,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_22) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater_or_equal(X3,X1)
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ environment(X0)
| ~ greater_or_equal(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mp_positive_function_difference_25) ).
fof(f10,axiom,
! [X0] :
( greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0)))
| ~ environment(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a8_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 03:36:30 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (28046)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.50 % (28042)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50 % (28050)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.50 % (28062)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.50 % (28054)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.51 % (28042)First to succeed.
% 0.20/0.51 % (28039)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.51 % (28058)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.52 % (28038)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.52 % (28053)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.52 % (28054)Also succeeded, but the first one will report.
% 0.20/0.52 % (28064)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.20/0.52 % (28042)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (28042)------------------------------
% 0.20/0.52 % (28042)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (28042)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (28042)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (28042)Memory used [KB]: 1407
% 0.20/0.52 % (28042)Time elapsed: 0.113 s
% 0.20/0.52 % (28042)Instructions burned: 7 (million)
% 0.20/0.52 % (28042)------------------------------
% 0.20/0.52 % (28042)------------------------------
% 0.20/0.52 % (28035)Success in time 0.178 s
%------------------------------------------------------------------------------