TSTP Solution File: MGT027-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : MGT027-1 : 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 : Sun May 5 07:57:08 EDT 2024
% Result : Unsatisfiable 0.21s 0.38s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 17 unt; 0 def)
% Number of atoms : 120 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 129 ( 56 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f135,plain,
$false,
inference(subsumption_resolution,[],[f129,f119]) ).
fof(f119,plain,
~ subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)),
inference(superposition,[],[f79,f110]) ).
fof(f110,plain,
sk2(sk3) = sk1(sk2(sk3),sk3),
inference(subsumption_resolution,[],[f109,f79]) ).
fof(f109,plain,
( subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(subsumption_resolution,[],[f108,f14]) ).
fof(f14,axiom,
environment(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_37) ).
fof(f108,plain,
( ~ environment(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(duplicate_literal_removal,[],[f107]) ).
fof(f107,plain,
( ~ environment(sk3)
| subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3)
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[],[f98,f82]) ).
fof(f82,plain,
( in_environment(sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(subsumption_resolution,[],[f81,f15]) ).
fof(f15,axiom,
stable(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_38) ).
fof(f81,plain,
( sk2(sk3) = sk1(sk2(sk3),sk3)
| ~ stable(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(subsumption_resolution,[],[f80,f14]) ).
fof(f80,plain,
( ~ environment(sk3)
| sk2(sk3) = sk1(sk2(sk3),sk3)
| ~ stable(sk3)
| in_environment(sk3,sk1(sk2(sk3),sk3)) ),
inference(resolution,[],[f57,f28]) ).
fof(f28,plain,
in_environment(sk3,sk2(sk3)),
inference(unit_resulting_resolution,[],[f14,f15,f18,f21,f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ greater(X2,X1)
| ~ environment(X0)
| ~ in_environment(X0,X1)
| ~ stable(X0)
| in_environment(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_long_stable_environments_28) ).
fof(f21,plain,
greater(sk2(sk3),appear(efficient_producers,sk3)),
inference(unit_resulting_resolution,[],[f15,f14,f12]) ).
fof(f12,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| greater(sk2(X0),appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_35) ).
fof(f18,plain,
in_environment(sk3,appear(efficient_producers,sk3)),
inference(unit_resulting_resolution,[],[f15,f14,f6]) ).
fof(f6,axiom,
! [X0] :
( ~ stable(X0)
| ~ environment(X0)
| in_environment(X0,appear(efficient_producers,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_EP_in_stable_environments_29) ).
fof(f57,plain,
! [X0] :
( ~ in_environment(X0,sk2(sk3))
| ~ environment(X0)
| sk2(sk3) = sk1(sk2(sk3),sk3)
| ~ stable(X0)
| in_environment(X0,sk1(sk2(sk3),sk3)) ),
inference(resolution,[],[f53,f5]) ).
fof(f53,plain,
( greater(sk1(sk2(sk3),sk3),sk2(sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[],[f48,f8]) ).
fof(f8,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(f48,plain,
greater_or_equal(sk1(sk2(sk3),sk3),sk2(sk3)),
inference(unit_resulting_resolution,[],[f15,f14,f28,f23,f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| contracts_from(X1,first_movers)
| greater_or_equal(sk1(X1,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_25) ).
fof(f23,plain,
~ contracts_from(sk2(sk3),first_movers),
inference(unit_resulting_resolution,[],[f21,f16]) ).
fof(f16,axiom,
! [X0] :
( ~ contracts_from(X0,first_movers)
| ~ greater(X0,appear(efficient_producers,sk3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_l9_39) ).
fof(f98,plain,
! [X0] :
( ~ in_environment(X0,sk1(sk2(sk3),sk3))
| ~ environment(X0)
| subpopulations(first_movers,efficient_producers,X0,sk1(sk2(sk3),sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(subsumption_resolution,[],[f97,f67]) ).
fof(f67,plain,
greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero),
inference(unit_resulting_resolution,[],[f15,f14,f28,f23,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ stable(X0)
| contracts_from(X1,first_movers)
| greater(cardinality_at_time(first_movers,sk1(X1,X0)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_24) ).
fof(f97,plain,
! [X0] :
( ~ in_environment(X0,sk1(sk2(sk3),sk3))
| ~ environment(X0)
| ~ greater(cardinality_at_time(first_movers,sk1(sk2(sk3),sk3)),zero)
| subpopulations(first_movers,efficient_producers,X0,sk1(sk2(sk3),sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[],[f4,f90]) ).
fof(f90,plain,
( greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(duplicate_literal_removal,[],[f89]) ).
fof(f89,plain,
( sk2(sk3) = sk1(sk2(sk3),sk3)
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero)
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[],[f66,f82]) ).
fof(f66,plain,
( ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3)
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(subsumption_resolution,[],[f64,f14]) ).
fof(f64,plain,
( sk2(sk3) = sk1(sk2(sk3),sk3)
| ~ in_environment(sk3,sk1(sk2(sk3),sk3))
| ~ environment(sk3)
| greater(cardinality_at_time(efficient_producers,sk1(sk2(sk3),sk3)),zero) ),
inference(resolution,[],[f63,f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ~ greater_or_equal(X1,appear(efficient_producers,X0))
| ~ in_environment(X0,X1)
| ~ environment(X0)
| greater(cardinality_at_time(efficient_producers,X1),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_34) ).
fof(f63,plain,
( greater_or_equal(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[],[f60,f9]) ).
fof(f9,axiom,
! [X0,X1] :
( ~ greater(X0,X1)
| greater_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_greater_or_equal_32) ).
fof(f60,plain,
( greater(sk1(sk2(sk3),sk3),appear(efficient_producers,sk3))
| sk2(sk3) = sk1(sk2(sk3),sk3) ),
inference(resolution,[],[f58,f21]) ).
fof(f58,plain,
! [X0] :
( ~ greater(sk2(sk3),X0)
| sk2(sk3) = sk1(sk2(sk3),sk3)
| greater(sk1(sk2(sk3),sk3),X0) ),
inference(resolution,[],[f53,f7]) ).
fof(f7,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(f4,axiom,
! [X0,X1] :
( ~ greater(cardinality_at_time(efficient_producers,X1),zero)
| ~ in_environment(X0,X1)
| ~ environment(X0)
| ~ greater(cardinality_at_time(first_movers,X1),zero)
| subpopulations(first_movers,efficient_producers,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_non_empty_fm_and_ep_27) ).
fof(f79,plain,
~ subpopulations(first_movers,efficient_producers,sk3,sk1(sk2(sk3),sk3)),
inference(unit_resulting_resolution,[],[f14,f15,f48,f78,f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ subpopulations(first_movers,efficient_producers,X0,X1)
| ~ environment(X0)
| ~ greater_or_equal(X1,sk2(X0))
| ~ stable(X0)
| greater(zero,growth_rate(first_movers,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l10_36) ).
fof(f78,plain,
~ greater(zero,growth_rate(first_movers,sk1(sk2(sk3),sk3))),
inference(unit_resulting_resolution,[],[f15,f14,f28,f23,f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ greater(zero,growth_rate(first_movers,sk1(X1,X0)))
| ~ environment(X0)
| ~ in_environment(X0,X1)
| contracts_from(X1,first_movers)
| ~ stable(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp_contracts_from_26) ).
fof(f129,plain,
subpopulations(first_movers,efficient_producers,sk3,sk2(sk3)),
inference(unit_resulting_resolution,[],[f14,f28,f33,f116,f4]) ).
fof(f116,plain,
greater(cardinality_at_time(first_movers,sk2(sk3)),zero),
inference(superposition,[],[f67,f110]) ).
fof(f33,plain,
greater(cardinality_at_time(efficient_producers,sk2(sk3)),zero),
inference(unit_resulting_resolution,[],[f14,f28,f24,f11]) ).
fof(f24,plain,
greater_or_equal(sk2(sk3),appear(efficient_producers,sk3)),
inference(unit_resulting_resolution,[],[f21,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT027-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n006.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 20:03:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (683)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (686)WARNING: value z3 for option sas not known
% 0.21/0.37 % (687)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (684)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (685)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (689)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)
% 0.21/0.37 % (688)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)
% 0.21/0.37 % (686)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)
% 0.21/0.37 % (690)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)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (690)First to succeed.
% 0.21/0.37 TRYING [1]
% 0.21/0.37 % (690)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-683"
% 0.21/0.38 TRYING [2]
% 0.21/0.38 % (690)Refutation found. Thanks to Tanya!
% 0.21/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38 % (690)------------------------------
% 0.21/0.38 % (690)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38 % (690)Termination reason: Refutation
% 0.21/0.38
% 0.21/0.38 % (690)Memory used [KB]: 840
% 0.21/0.38 % (690)Time elapsed: 0.008 s
% 0.21/0.38 % (690)Instructions burned: 9 (million)
% 0.21/0.38 % (683)Success in time 0.024 s
%------------------------------------------------------------------------------