TSTP Solution File: MGT039-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT039-1 : 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 : n004.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 07:57:59 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 18
% Syntax : Number of formulae : 58 ( 18 unt; 0 def)
% Number of atoms : 145 ( 28 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 147 ( 60 ~; 87 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f157,plain,
$false,
inference(subsumption_resolution,[],[f151,f36]) ).
fof(f36,plain,
~ selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference(unit_resulting_resolution,[],[f17,f19,f26]) ).
fof(f26,plain,
! [X0] :
( ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0)))
| selection_favors(efficient_producers,first_movers,X0)
| ~ observational_period(X0) ),
inference(subsumption_resolution,[],[f25,f7]) ).
fof(f7,axiom,
propagation_strategy(efficient_producers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets2_26) ).
fof(f25,plain,
! [X0] :
( ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ),
inference(subsumption_resolution,[],[f3,f6]) ).
fof(f6,axiom,
propagation_strategy(first_movers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_organizational_sets1_25) ).
fof(f3,axiom,
! [X0] :
( ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0)
| selection_favors(efficient_producers,first_movers,X0)
| ~ selection_favors(efficient_producers,first_movers,end_time(sk1(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_22) ).
fof(f19,axiom,
~ selection_favors(efficient_producers,first_movers,sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_38) ).
fof(f17,axiom,
observational_period(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_36) ).
fof(f151,plain,
selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))),
inference(superposition,[],[f55,f145]) ).
fof(f145,plain,
end_time(sk1(sk3)) = sk2(sk1(sk3),sk3),
inference(subsumption_resolution,[],[f144,f73]) ).
fof(f73,plain,
( ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(subsumption_resolution,[],[f72,f36]) ).
fof(f72,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(subsumption_resolution,[],[f69,f28]) ).
fof(f28,plain,
environment(sk1(sk3)),
inference(unit_resulting_resolution,[],[f17,f19,f22]) ).
fof(f22,plain,
! [X0] :
( ~ observational_period(X0)
| environment(sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
inference(subsumption_resolution,[],[f21,f7]) ).
fof(f21,plain,
! [X0] :
( ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0)
| environment(sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
inference(subsumption_resolution,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] :
( ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0)
| environment(sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_20) ).
fof(f69,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| ~ in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ environment(sk1(sk3))
| selection_favors(efficient_producers,first_movers,end_time(sk1(sk3))) ),
inference(resolution,[],[f67,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ~ greater(X1,critical_point(X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| selection_favors(efficient_producers,first_movers,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l8_35) ).
fof(f67,plain,
( greater(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[],[f50,f52]) ).
fof(f52,plain,
greater(sk2(sk1(sk3),sk3),critical_point(sk1(sk3))),
inference(unit_resulting_resolution,[],[f28,f33,f18,f17,f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ observational_period(X0)
| ~ environment(X1)
| ~ slow_change(X0)
| greater(sk2(X1,X0),critical_point(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_24) ).
fof(f18,axiom,
slow_change(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_t8_37) ).
fof(f33,plain,
in_environment(sk3,sk1(sk3)),
inference(unit_resulting_resolution,[],[f17,f19,f24]) ).
fof(f24,plain,
! [X0] :
( ~ observational_period(X0)
| in_environment(X0,sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
inference(subsumption_resolution,[],[f23,f7]) ).
fof(f23,plain,
! [X0] :
( ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0)
| in_environment(X0,sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
inference(subsumption_resolution,[],[f2,f6]) ).
fof(f2,axiom,
! [X0] :
( ~ propagation_strategy(first_movers)
| ~ propagation_strategy(efficient_producers)
| ~ observational_period(X0)
| in_environment(X0,sk1(X0))
| selection_favors(efficient_producers,first_movers,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_favoured_trategy_21) ).
fof(f50,plain,
! [X0] :
( ~ greater(sk2(sk1(sk3),sk3),X0)
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| greater(end_time(sk1(sk3)),X0) ),
inference(resolution,[],[f47,f11]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X2)
| greater(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_transitivity_30) ).
fof(f47,plain,
( greater(end_time(sk1(sk3)),sk2(sk1(sk3),sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[],[f44,f12]) ).
fof(f12,axiom,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| X0 = X1
| greater(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_31) ).
fof(f44,plain,
greater_or_equal(end_time(sk1(sk3)),sk2(sk1(sk3),sk3)),
inference(unit_resulting_resolution,[],[f28,f42,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| greater_or_equal(end_time(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_environment_end_point_28) ).
fof(f42,plain,
in_environment(sk1(sk3),sk2(sk1(sk3),sk3)),
inference(unit_resulting_resolution,[],[f28,f33,f18,f17,f4]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ observational_period(X0)
| ~ environment(X1)
| ~ slow_change(X0)
| in_environment(X1,sk2(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_critical_point_23) ).
fof(f144,plain,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(subsumption_resolution,[],[f142,f20]) ).
fof(f20,plain,
! [X1] : greater_or_equal(X1,X1),
inference(equality_resolution,[],[f14]) ).
fof(f14,axiom,
! [X0,X1] :
( X0 != X1
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_33) ).
fof(f142,plain,
( in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[],[f131,f71]) ).
fof(f71,plain,
( greater_or_equal(end_time(sk1(sk3)),critical_point(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[],[f67,f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
fof(f131,plain,
! [X0] :
( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
| in_environment(sk1(sk3),X0)
| ~ greater_or_equal(end_time(sk1(sk3)),X0) ),
inference(subsumption_resolution,[],[f127,f28]) ).
fof(f127,plain,
! [X0] :
( ~ greater_or_equal(X0,critical_point(sk1(sk3)))
| in_environment(sk1(sk3),X0)
| ~ environment(sk1(sk3))
| ~ greater_or_equal(end_time(sk1(sk3)),X0) ),
inference(superposition,[],[f8,f116]) ).
fof(f116,plain,
critical_point(sk1(sk3)) = start_time(sk1(sk3)),
inference(subsumption_resolution,[],[f106,f36]) ).
fof(f106,plain,
( selection_favors(efficient_producers,first_movers,end_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
inference(superposition,[],[f55,f100]) ).
fof(f100,plain,
( end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
inference(subsumption_resolution,[],[f99,f73]) ).
fof(f99,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3))) ),
inference(subsumption_resolution,[],[f98,f20]) ).
fof(f98,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) ),
inference(subsumption_resolution,[],[f95,f28]) ).
fof(f95,plain,
( critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| in_environment(sk1(sk3),end_time(sk1(sk3)))
| ~ environment(sk1(sk3))
| ~ greater_or_equal(end_time(sk1(sk3)),end_time(sk1(sk3))) ),
inference(resolution,[],[f93,f8]) ).
fof(f93,plain,
( greater_or_equal(end_time(sk1(sk3)),start_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3) ),
inference(resolution,[],[f68,f13]) ).
fof(f68,plain,
( greater(end_time(sk1(sk3)),start_time(sk1(sk3)))
| end_time(sk1(sk3)) = sk2(sk1(sk3),sk3)
| critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
inference(resolution,[],[f50,f61]) ).
fof(f61,plain,
( greater(sk2(sk1(sk3),sk3),start_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
inference(resolution,[],[f58,f32]) ).
fof(f32,plain,
( greater(critical_point(sk1(sk3)),start_time(sk1(sk3)))
| critical_point(sk1(sk3)) = start_time(sk1(sk3)) ),
inference(resolution,[],[f30,f12]) ).
fof(f30,plain,
greater_or_equal(critical_point(sk1(sk3)),start_time(sk1(sk3))),
inference(unit_resulting_resolution,[],[f28,f10]) ).
fof(f10,axiom,
! [X0] :
( ~ environment(X0)
| greater_or_equal(critical_point(X0),start_time(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_of_critical_point_29) ).
fof(f58,plain,
! [X0] :
( ~ greater(critical_point(sk1(sk3)),X0)
| greater(sk2(sk1(sk3),sk3),X0) ),
inference(resolution,[],[f52,f11]) ).
fof(f8,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,start_time(X0))
| in_environment(X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(end_time(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_time_in_environment_27) ).
fof(f55,plain,
selection_favors(efficient_producers,first_movers,sk2(sk1(sk3),sk3)),
inference(unit_resulting_resolution,[],[f28,f42,f52,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT039-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n004.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 : Fri May 3 20:03:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (24556)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (24559)WARNING: value z3 for option sas not known
% 0.15/0.38 % (24560)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (24562)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)
% 0.15/0.38 % (24558)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (24561)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)
% 0.15/0.38 % (24559)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)
% 0.15/0.38 % (24557)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (24563)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (24563)First to succeed.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (24563)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24556"
% 0.15/0.38 TRYING [4]
% 0.15/0.38 % (24563)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (24563)------------------------------
% 0.15/0.38 % (24563)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (24563)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (24563)Memory used [KB]: 838
% 0.15/0.38 % (24563)Time elapsed: 0.008 s
% 0.15/0.38 % (24563)Instructions burned: 9 (million)
% 0.15/0.38 % (24556)Success in time 0.014 s
%------------------------------------------------------------------------------