TSTP Solution File: MGT023-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT023-1 : 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 : n006.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 : Tue Apr 30 13:54:08 EDT 2024
% Result : Unsatisfiable 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 75 ( 17 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 30 ~; 48 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f33,plain,
$false,
inference(subsumption_resolution,[],[f31,f9]) ).
fof(f9,axiom,
~ in_environment(sk3,critical_point(sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_25) ).
fof(f31,plain,
in_environment(sk3,critical_point(sk3)),
inference(superposition,[],[f10,f26]) ).
fof(f26,plain,
critical_point(sk3) = sk2(sk3),
inference(subsumption_resolution,[],[f25,f22]) ).
fof(f22,plain,
( greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3)))
| critical_point(sk3) = sk2(sk3) ),
inference(subsumption_resolution,[],[f21,f15]) ).
fof(f15,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| critical_point(sk3) = sk2(sk3) ),
inference(subsumption_resolution,[],[f14,f12]) ).
fof(f12,plain,
~ greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))),
inference(unit_resulting_resolution,[],[f8,f7,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0)))
| ~ environment(X0)
| ~ stable(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_21) ).
fof(f7,axiom,
environment(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_23) ).
fof(f8,axiom,
stable(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_l5_24) ).
fof(f14,plain,
( critical_point(sk3) = sk2(sk3)
| greater(sk1(sk2(sk3),sk3),sk2(sk3))
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(subsumption_resolution,[],[f13,f7]) ).
fof(f13,plain,
( ~ environment(sk3)
| critical_point(sk3) = sk2(sk3)
| greater(sk1(sk2(sk3),sk3),sk2(sk3))
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3))) ),
inference(resolution,[],[f2,f10]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(sk1(X1,X0),X1)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_18) ).
fof(f21,plain,
( critical_point(sk3) = sk2(sk3)
| ~ greater(sk1(sk2(sk3),sk3),sk2(sk3))
| greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(subsumption_resolution,[],[f20,f8]) ).
fof(f20,plain,
( critical_point(sk3) = sk2(sk3)
| ~ greater(sk1(sk2(sk3),sk3),sk2(sk3))
| ~ stable(sk3)
| greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(subsumption_resolution,[],[f19,f7]) ).
fof(f19,plain,
( critical_point(sk3) = sk2(sk3)
| ~ environment(sk3)
| ~ greater(sk1(sk2(sk3),sk3),sk2(sk3))
| ~ stable(sk3)
| greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,[],[f18,f6]) ).
fof(f6,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater(X1,sk2(X0))
| ~ stable(X0)
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_22) ).
fof(f18,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| critical_point(sk3) = sk2(sk3) ),
inference(subsumption_resolution,[],[f17,f12]) ).
fof(f17,plain,
( critical_point(sk3) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
inference(subsumption_resolution,[],[f16,f7]) ).
fof(f16,plain,
( ~ environment(sk3)
| critical_point(sk3) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,[],[f1,f10]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_17) ).
fof(f25,plain,
( critical_point(sk3) = sk2(sk3)
| ~ greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(subsumption_resolution,[],[f24,f12]) ).
fof(f24,plain,
( critical_point(sk3) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(subsumption_resolution,[],[f23,f7]) ).
fof(f23,plain,
( ~ environment(sk3)
| critical_point(sk3) = sk2(sk3)
| greater(growth_rate(efficient_producers,sk2(sk3)),growth_rate(first_movers,sk2(sk3)))
| ~ greater(growth_rate(efficient_producers,sk1(sk2(sk3),sk3)),growth_rate(first_movers,sk1(sk2(sk3),sk3))) ),
inference(resolution,[],[f3,f10]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| critical_point(X0) = X1
| greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1))
| ~ greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_19) ).
fof(f10,plain,
in_environment(sk3,sk2(sk3)),
inference(unit_resulting_resolution,[],[f8,f7,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,sk2(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT023-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.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 : Tue Apr 30 03:33:35 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (21276)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (21278)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 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [3]
% 0.14/0.37 % (21279)WARNING: value z3 for option sas not known
% 0.14/0.37 % (21277)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (21279)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 % (21280)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (21281)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 % (21282)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 % (21283)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 TRYING [4]
% 0.14/0.37 TRYING [1]
% 0.14/0.37 % (21283)First to succeed.
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 % (21282)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [3]
% 0.14/0.38 % (21283)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 % (21283)------------------------------
% 0.14/0.38 % (21283)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.38 % (21283)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (21283)Memory used [KB]: 756
% 0.14/0.38 % (21283)Time elapsed: 0.004 s
% 0.14/0.38 % (21283)Instructions burned: 4 (million)
% 0.14/0.38 % (21283)------------------------------
% 0.14/0.38 % (21283)------------------------------
% 0.14/0.38 % (21276)Success in time 0.021 s
%------------------------------------------------------------------------------