TSTP Solution File: MGT020-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT020-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n012.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 : Sun May 5 07:57:05 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 43 ( 11 unt; 0 def)
% Number of atoms : 111 ( 15 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 124 ( 56 ~; 66 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f110,plain,
$false,
inference(subsumption_resolution,[],[f89,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(f89,plain,
greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2)),
inference(superposition,[],[f29,f86]) ).
fof(f86,plain,
sk2 = initial_FM_EP(sk1),
inference(subsumption_resolution,[],[f85,f62]) ).
fof(f62,plain,
( ~ decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f57,f12]) ).
fof(f12,axiom,
environment(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l2_33) ).
fof(f57,plain,
( sk2 = initial_FM_EP(sk1)
| ~ environment(sk1)
| ~ decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(resolution,[],[f56,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/sandbox2/benchmark/theBenchmark.p',l3_22) ).
fof(f56,plain,
( subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f55,f12]) ).
fof(f55,plain,
( sk2 = initial_FM_EP(sk1)
| ~ environment(sk1)
| subpopulations(first_movers,efficient_producers,sk1,initial_FM_EP(sk1)) ),
inference(resolution,[],[f54,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(f54,plain,
( in_environment(sk1,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f53,f27]) ).
fof(f27,plain,
in_environment(sk1,sk2),
inference(unit_resulting_resolution,[],[f12,f13,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| in_environment(X0,X1)
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_point_occurs_26) ).
fof(f13,axiom,
subpopulations(first_movers,efficient_producers,sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l2_34) ).
fof(f53,plain,
( in_environment(sk1,initial_FM_EP(sk1))
| ~ in_environment(sk1,sk2)
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f52,f12]) ).
fof(f52,plain,
( ~ environment(sk1)
| in_environment(sk1,initial_FM_EP(sk1))
| ~ in_environment(sk1,sk2)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f50,f21]) ).
fof(f21,plain,
greater_or_equal(initial_FM_EP(sk1),start_time(sk1)),
inference(unit_resulting_resolution,[],[f12,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ environment(X0)
| greater_or_equal(initial_FM_EP(X0),start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_initial_time_27) ).
fof(f50,plain,
! [X0] :
( ~ greater_or_equal(initial_FM_EP(sk1),start_time(X0))
| ~ environment(X0)
| in_environment(X0,initial_FM_EP(sk1))
| ~ in_environment(X0,sk2)
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f7,f38]) ).
fof(f38,plain,
( greater(sk2,initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f33,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_30) ).
fof(f33,plain,
greater_or_equal(sk2,initial_FM_EP(sk1)),
inference(unit_resulting_resolution,[],[f12,f13,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| greater_or_equal(X1,initial_FM_EP(X0))
| ~ environment(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_earliest_time_point_24) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ greater(X2,X1)
| ~ in_environment(X0,X2)
| ~ environment(X0)
| in_environment(X0,X1)
| ~ greater_or_equal(X1,start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_times_in_order_28) ).
fof(f85,plain,
( decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f84,f65]) ).
fof(f65,plain,
( sP1(initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(resolution,[],[f63,f43]) ).
fof(f43,plain,
! [X0] :
( ~ greater_or_equal(X0,initial_FM_EP(sk1))
| sP1(X0) ),
inference(resolution,[],[f17,f29]) ).
fof(f17,plain,
! [X2,X1] :
( ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| ~ greater_or_equal(X1,X2)
| sP1(X1) ),
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(f63,plain,
( greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1))
| sk2 = initial_FM_EP(sk1) ),
inference(subsumption_resolution,[],[f58,f12]) ).
fof(f58,plain,
( sk2 = initial_FM_EP(sk1)
| greater_or_equal(initial_FM_EP(sk1),initial_FM_EP(sk1))
| ~ environment(sk1) ),
inference(resolution,[],[f56,f3]) ).
fof(f84,plain,
( ~ sP1(initial_FM_EP(sk1))
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1)))) ),
inference(subsumption_resolution,[],[f83,f24]) ).
fof(f24,plain,
sP2(sk2),
inference(unit_resulting_resolution,[],[f12,f13,f19]) ).
fof(f19,plain,
! [X3,X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ environment(X0)
| sP2(X3) ),
inference(cnf_transformation,[],[f19_D]) ).
fof(f19_D,plain,
! [X3] :
( ! [X0] :
( ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ environment(X0) )
<=> ~ sP2(X3) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f83,plain,
( decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| ~ sP1(initial_FM_EP(sk1))
| ~ sP2(sk2) ),
inference(subsumption_resolution,[],[f82,f14]) ).
fof(f82,plain,
( greater(disbanding_rate(first_movers,sk2),disbanding_rate(efficient_producers,sk2))
| decreases(difference(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))))
| ~ sP1(initial_FM_EP(sk1))
| ~ sP2(sk2) ),
inference(resolution,[],[f20,f33]) ).
fof(f20,plain,
! [X3,X1] :
( ~ greater_or_equal(X3,X1)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ sP1(X1)
| ~ sP2(X3) ),
inference(general_splitting,[],[f18,f19_D]) ).
fof(f18,plain,
! [X3,X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| decreases(difference(disbanding_rate(first_movers,X1),disbanding_rate(efficient_producers,X1)))
| ~ sP1(X1) ),
inference(general_splitting,[],[f4,f17_D]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ environment(X0)
| ~ greater_or_equal(X1,X2)
| ~ greater_or_equal(X3,X1)
| ~ subpopulations(first_movers,efficient_producers,X0,X3)
| ~ greater(disbanding_rate(first_movers,X2),disbanding_rate(efficient_producers,X2))
| greater(disbanding_rate(first_movers,X3),disbanding_rate(efficient_producers,X3))
| 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(f29,plain,
greater(disbanding_rate(first_movers,initial_FM_EP(sk1)),disbanding_rate(efficient_producers,initial_FM_EP(sk1))),
inference(unit_resulting_resolution,[],[f12,f10]) ).
fof(f10,axiom,
! [X0] :
( ~ environment(X0)
| greater(disbanding_rate(first_movers,initial_FM_EP(X0)),disbanding_rate(efficient_producers,initial_FM_EP(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a8_31) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : MGT020-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 20:04:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (26104)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26107)WARNING: value z3 for option sas not known
% 0.14/0.37 % (26105)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (26106)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (26109)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (26107)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (26110)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (26111)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (26108)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 % (26111)First to succeed.
% 0.14/0.38 % (26111)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26104"
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (26111)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (26111)------------------------------
% 0.14/0.38 % (26111)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (26111)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (26111)Memory used [KB]: 836
% 0.14/0.38 % (26111)Time elapsed: 0.006 s
% 0.14/0.38 % (26111)Instructions burned: 7 (million)
% 0.14/0.38 % (26104)Success in time 0.023 s
%------------------------------------------------------------------------------