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 v2.4.0.
% 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 : n024.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 17:51:23 EDT 2022
% Result : Unsatisfiable 1.67s 0.60s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 8 unt; 0 def)
% Number of atoms : 143 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 179 ( 90 ~; 85 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 3 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f208,plain,
$false,
inference(avatar_sat_refutation,[],[f62,f130,f202]) ).
fof(f202,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f201]) ).
fof(f201,plain,
( $false
| spl3_3
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f161,f38]) ).
fof(f38,plain,
in_environment(sk1,sk2),
inference(resolution,[],[f33,f13]) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l2_34) ).
fof(f33,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| in_environment(sk1,X0) ),
inference(resolution,[],[f5,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l2_33) ).
fof(f5,axiom,
! [X0,X1] :
( ~ environment(X0)
| in_environment(X0,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occurs_26) ).
fof(f161,plain,
( ~ in_environment(sk1,sk2)
| spl3_3
| ~ spl3_4 ),
inference(backward_demodulation,[],[f57,f156]) ).
fof(f156,plain,
( sk2 = initial_FM_EP(sk1)
| ~ spl3_4 ),
inference(subsumption_resolution,[],[f155,f38]) ).
fof(f155,plain,
( sk2 = initial_FM_EP(sk1)
| ~ in_environment(sk1,sk2)
| ~ spl3_4 ),
inference(resolution,[],[f140,f48]) ).
fof(f48,plain,
greater_or_equal(sk2,initial_FM_EP(sk1)),
inference(resolution,[],[f37,f13]) ).
fof(f37,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| greater_or_equal(X0,initial_FM_EP(sk1)) ),
inference(resolution,[],[f3,f12]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,initial_FM_EP(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_point_24) ).
fof(f140,plain,
( ! [X2] :
( ~ greater_or_equal(X2,initial_FM_EP(sk1))
| ~ in_environment(sk1,X2)
| initial_FM_EP(sk1) = X2 )
| ~ spl3_4 ),
inference(resolution,[],[f61,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( greater(X0,X1)
| X0 = X1
| ~ greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_30) ).
fof(f61,plain,
( ! [X0] :
( ~ greater(X0,initial_FM_EP(sk1))
| ~ in_environment(sk1,X0) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl3_4
<=> ! [X0] :
( ~ in_environment(sk1,X0)
| ~ greater(X0,initial_FM_EP(sk1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f57,plain,
( ~ in_environment(sk1,initial_FM_EP(sk1))
| spl3_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl3_3
<=> in_environment(sk1,initial_FM_EP(sk1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f130,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f129]) ).
fof(f129,plain,
( $false
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f128,f12]) ).
fof(f128,plain,
( ~ environment(sk1)
| ~ spl3_3 ),
inference(resolution,[],[f124,f78]) ).
fof(f78,plain,
( subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f77,f12]) ).
fof(f77,plain,
( ~ environment(sk1)
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| ~ spl3_3 ),
inference(resolution,[],[f58,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ in_environment(X0,initial_FM_EP(X0))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_point_23) ).
fof(f58,plain,
( in_environment(sk1,initial_FM_EP(sk1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f124,plain,
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,initial_FM_EP(sk1))
| ~ environment(X0) )
| ~ spl3_3 ),
inference(resolution,[],[f101,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_22) ).
fof(f101,plain,
( decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f100,f48]) ).
fof(f100,plain,
( ~ greater_or_equal(sk2,initial_FM_EP(sk1))
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| ~ spl3_3 ),
inference(resolution,[],[f98,f47]) ).
fof(f47,plain,
! [X0] :
( ~ sP1(X0)
| decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ greater_or_equal(sk2,X0) ),
inference(subsumption_resolution,[],[f44,f35]) ).
fof(f35,plain,
sP2(sk2),
inference(resolution,[],[f32,f13]) ).
fof(f32,plain,
! [X0] :
( ~ subpopulations(first_movers,efficient_producers,sk1,X0)
| sP2(X0) ),
inference(resolution,[],[f19,f12]) ).
fof(f19,plain,
! [X3,X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| sP2(X3) ),
inference(cnf_transformation,[],[f19_D]) ).
fof(f19_D,plain,
! [X3] :
( ! [X0] :
( ~ environment(X0)
| ~ subpopulations(first_movers,efficient_producers,X0,X3) )
<=> ~ sP2(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f44,plain,
! [X0] :
( decreases(difference(disbanding_rate(first_movers,X0),disbanding_rate(efficient_producers,X0)))
| ~ sP1(X0)
| ~ greater_or_equal(sk2,X0)
| ~ sP2(sk2) ),
inference(resolution,[],[f20,f14]) ).
fof(f14,axiom,
~ greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l2_35) ).
fof(f20,plain,
! [X3,X1] :
( greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ greater_or_equal(X3,X1)
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ sP2(X3)
| ~ sP1(X1) ),
inference(general_splitting,[],[f18,f19_D]) ).
fof(f18,plain,
! [X3,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X3)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ environment(X0)
| ~ greater_or_equal(X3,X1)
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ sP1(X1) ),
inference(general_splitting,[],[f4,f17_D]) ).
fof(f17,plain,
! [X2,X1] :
( ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| sP1(X1)
| ~ greater_or_equal(X1,X2) ),
inference(cnf_transformation,[],[f17_D]) ).
fof(f17_D,plain,
! [X1] :
( ! [X2] :
( ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ greater_or_equal(X1,X2) )
<=> ~ sP1(X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X3)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| ~ environment(X0)
| ~ greater_or_equal(X3,X1)
| ~ greater_or_equal(X1,X2)
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_positive_function_difference_25) ).
fof(f98,plain,
( sP1(initial_FM_EP(sk1))
| ~ spl3_3 ),
inference(resolution,[],[f80,f42]) ).
fof(f42,plain,
! [X0] :
( ~ greater_or_equal(X0,initial_FM_EP(sk1))
| sP1(X0) ),
inference(resolution,[],[f39,f12]) ).
fof(f39,plain,
! [X0,X1] :
( ~ environment(X1)
| sP1(X0)
| ~ greater_or_equal(X0,initial_FM_EP(X1)) ),
inference(resolution,[],[f17,f10]) ).
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/sandbox2/benchmark/theBenchmark.p',a8_31) ).
fof(f80,plain,
( greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1))
| ~ spl3_3 ),
inference(resolution,[],[f78,f37]) ).
fof(f62,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f54,f60,f56]) ).
fof(f54,plain,
! [X0] :
( ~ in_environment(sk1,X0)
| in_environment(sk1,initial_FM_EP(sk1))
| ~ greater(X0,initial_FM_EP(sk1)) ),
inference(subsumption_resolution,[],[f53,f12]) ).
fof(f53,plain,
! [X0] :
( ~ environment(sk1)
| in_environment(sk1,initial_FM_EP(sk1))
| ~ greater(X0,initial_FM_EP(sk1))
| ~ in_environment(sk1,X0) ),
inference(resolution,[],[f41,f6]) ).
fof(f6,axiom,
! [X0] :
( greater_or_equal(initial_FM_EP(X0),start_time(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_initial_time_27) ).
fof(f41,plain,
! [X0,X1] :
( ~ greater_or_equal(X1,start_time(sk1))
| ~ in_environment(sk1,X0)
| in_environment(sk1,X1)
| ~ greater(X0,X1) ),
inference(resolution,[],[f7,f12]) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ environment(X0)
| ~ greater(X2,X1)
| in_environment(X0,X1)
| ~ greater_or_equal(X1,start_time(X0))
| ~ in_environment(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_order_28) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT020-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 03:16:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.55 % (25453)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.57 % (25461)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.58 % (25464)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)
% 0.21/0.58 % (25454)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)
% 0.21/0.58 % (25462)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)
% 0.21/0.58 % (25444)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)
% 0.21/0.58 % (25440)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)
% 0.21/0.59 % (25440)Refutation not found, incomplete strategy% (25440)------------------------------
% 0.21/0.59 % (25440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (25440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (25440)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.59
% 0.21/0.59 % (25440)Memory used [KB]: 5373
% 0.21/0.59 % (25440)Time elapsed: 0.159 s
% 0.21/0.59 % (25440)Instructions burned: 2 (million)
% 0.21/0.59 % (25440)------------------------------
% 0.21/0.59 % (25440)------------------------------
% 1.67/0.59 % (25443)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.67/0.59 % (25461)First to succeed.
% 1.67/0.59 % (25446)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)
% 1.67/0.60 % (25461)Refutation found. Thanks to Tanya!
% 1.67/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.67/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.67/0.60 % (25461)------------------------------
% 1.67/0.60 % (25461)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.60 % (25461)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.60 % (25461)Termination reason: Refutation
% 1.67/0.60
% 1.67/0.60 % (25461)Memory used [KB]: 5628
% 1.67/0.60 % (25461)Time elapsed: 0.152 s
% 1.67/0.60 % (25461)Instructions burned: 12 (million)
% 1.67/0.60 % (25461)------------------------------
% 1.67/0.60 % (25461)------------------------------
% 1.67/0.60 % (25434)Success in time 0.242 s
%------------------------------------------------------------------------------