TSTP Solution File: MGT041-2 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : MGT041-2 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n020.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 : Mon Jun 24 11:51:20 EDT 2024
% Result : Unsatisfiable 0.21s 0.39s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 56 ( 15 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 162 ( 59 ~; 92 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 12 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f77,plain,
$false,
inference(avatar_sat_refutation,[],[f17,f22,f27,f32,f37,f41,f45,f49,f59,f65,f71,f76]) ).
fof(f76,plain,
( spl0_3
| spl0_4
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f75,plain,
( $false
| spl0_3
| spl0_4
| ~ spl0_7
| ~ spl0_10
| spl0_11 ),
inference(subsumption_resolution,[],[f74,f58]) ).
fof(f58,plain,
( first_mover(sk1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f56,plain,
( spl0_10
<=> first_mover(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f74,plain,
( ~ first_mover(sk1)
| spl0_3
| spl0_4
| ~ spl0_7
| spl0_11 ),
inference(subsumption_resolution,[],[f73,f31]) ).
fof(f31,plain,
( ~ organisation_at_time(sk1,sk2)
| spl0_4 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl0_4
<=> organisation_at_time(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f73,plain,
( organisation_at_time(sk1,sk2)
| ~ first_mover(sk1)
| spl0_3
| ~ spl0_7
| spl0_11 ),
inference(subsumption_resolution,[],[f72,f26]) ).
fof(f26,plain,
( ~ founding_time(sk1,sk2)
| spl0_3 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f24,plain,
( spl0_3
<=> founding_time(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f72,plain,
( founding_time(sk1,sk2)
| organisation_at_time(sk1,sk2)
| ~ first_mover(sk1)
| ~ spl0_7
| spl0_11 ),
inference(resolution,[],[f44,f64]) ).
fof(f64,plain,
( ~ number_of_routines(sk1,sk2,low)
| spl0_11 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_11
<=> number_of_routines(sk1,sk2,low) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f44,plain,
( ! [X0,X1] :
( number_of_routines(X0,X1,low)
| founding_time(X0,X1)
| organisation_at_time(X0,X1)
| ~ first_mover(X0) )
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f43,plain,
( spl0_7
<=> ! [X0,X1] :
( ~ first_mover(X0)
| founding_time(X0,X1)
| organisation_at_time(X0,X1)
| number_of_routines(X0,X1,low) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f71,plain,
( spl0_9
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f68,f39,f29,f24,f19,f52]) ).
fof(f52,plain,
( spl0_9
<=> efficient_producer(sk1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f19,plain,
( spl0_2
<=> has_elaborated_routines(sk1,sk2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f39,plain,
( spl0_6
<=> ! [X0,X1] :
( efficient_producer(X0)
| founding_time(X0,X1)
| organisation_at_time(X0,X1)
| has_elaborated_routines(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f68,plain,
( efficient_producer(sk1)
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f67,f31]) ).
fof(f67,plain,
( organisation_at_time(sk1,sk2)
| efficient_producer(sk1)
| spl0_2
| spl0_3
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f66,f26]) ).
fof(f66,plain,
( founding_time(sk1,sk2)
| organisation_at_time(sk1,sk2)
| efficient_producer(sk1)
| spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f40,f21]) ).
fof(f21,plain,
( ~ has_elaborated_routines(sk1,sk2)
| spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f40,plain,
( ! [X0,X1] :
( has_elaborated_routines(X0,X1)
| founding_time(X0,X1)
| organisation_at_time(X0,X1)
| efficient_producer(X0) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f65,plain,
( ~ spl0_11
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f60,f47,f34,f62]) ).
fof(f34,plain,
( spl0_5
<=> number_of_routines(sk1,sk2,high) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f47,plain,
( spl0_8
<=> ! [X0,X1] :
( ~ number_of_routines(X0,X1,high)
| ~ number_of_routines(X0,X1,low) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f60,plain,
( ~ number_of_routines(sk1,sk2,low)
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f48,f36]) ).
fof(f36,plain,
( number_of_routines(sk1,sk2,high)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f48,plain,
( ! [X0,X1] :
( ~ number_of_routines(X0,X1,high)
| ~ number_of_routines(X0,X1,low) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f59,plain,
( ~ spl0_9
| spl0_10
| ~ spl0_1
| spl0_4 ),
inference(avatar_split_clause,[],[f50,f29,f15,f56,f52]) ).
fof(f15,plain,
( spl0_1
<=> ! [X0,X1] :
( ~ efficient_producer(X0)
| first_mover(X0)
| organisation_at_time(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f50,plain,
( first_mover(sk1)
| ~ efficient_producer(sk1)
| ~ spl0_1
| spl0_4 ),
inference(resolution,[],[f16,f31]) ).
fof(f16,plain,
( ! [X0,X1] :
( organisation_at_time(X0,X1)
| first_mover(X0)
| ~ efficient_producer(X0) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f49,plain,
spl0_8,
inference(avatar_split_clause,[],[f1,f47]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ number_of_routines(X0,X1,high)
| ~ number_of_routines(X0,X1,low) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f45,plain,
spl0_7,
inference(avatar_split_clause,[],[f13,f43]) ).
fof(f13,plain,
! [X0,X1] :
( ~ first_mover(X0)
| founding_time(X0,X1)
| organisation_at_time(X0,X1)
| number_of_routines(X0,X1,low) ),
inference(consistent_polarity_flipping,[],[f3]) ).
fof(f3,axiom,
! [X0,X1] :
( ~ first_mover(X0)
| ~ founding_time(X0,X1)
| ~ organisation_at_time(X0,X1)
| number_of_routines(X0,X1,low) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f41,plain,
spl0_6,
inference(avatar_split_clause,[],[f12,f39]) ).
fof(f12,plain,
! [X0,X1] :
( efficient_producer(X0)
| founding_time(X0,X1)
| organisation_at_time(X0,X1)
| has_elaborated_routines(X0,X1) ),
inference(consistent_polarity_flipping,[],[f2]) ).
fof(f2,axiom,
! [X0,X1] :
( ~ efficient_producer(X0)
| ~ founding_time(X0,X1)
| ~ organisation_at_time(X0,X1)
| has_elaborated_routines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f37,plain,
spl0_5,
inference(avatar_split_clause,[],[f6,f34]) ).
fof(f6,axiom,
number_of_routines(sk1,sk2,high),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f32,plain,
~ spl0_4,
inference(avatar_split_clause,[],[f11,f29]) ).
fof(f11,plain,
~ organisation_at_time(sk1,sk2),
inference(consistent_polarity_flipping,[],[f4]) ).
fof(f4,axiom,
organisation_at_time(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f27,plain,
~ spl0_3,
inference(avatar_split_clause,[],[f10,f24]) ).
fof(f10,plain,
~ founding_time(sk1,sk2),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f5,axiom,
founding_time(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f22,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f7,f19]) ).
fof(f7,axiom,
~ has_elaborated_routines(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17,plain,
spl0_1,
inference(avatar_split_clause,[],[f9,f15]) ).
fof(f9,plain,
! [X0,X1] :
( ~ efficient_producer(X0)
| first_mover(X0)
| organisation_at_time(X0,X1) ),
inference(consistent_polarity_flipping,[],[f8]) ).
fof(f8,axiom,
! [X0,X1] :
( efficient_producer(X0)
| first_mover(X0)
| ~ organisation_at_time(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MGT041-2 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 17:50:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a CNF_UNS_EPR_NEQ_NHN problem
% 0.12/0.35 Running first-order theorem proving
% 0.12/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.39 % (8682)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (8688)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=231451:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/231451Mi)
% 0.21/0.39 % (8688)First to succeed.
% 0.21/0.39 % (8688)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8682"
% 0.21/0.39 % (8682)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.39 % (8688)Refutation found. Thanks to Tanya!
% 0.21/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.39 % (8688)------------------------------
% 0.21/0.39 % (8688)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.39 % (8688)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.39 % (8688)Termination reason: Refutation
% 0.21/0.39
% 0.21/0.39 % (8688)Memory used [KB]: 1074
% 0.21/0.39 % (8688)Time elapsed: 0.002 s
% 0.21/0.39 % (8688)Instructions burned: 3 (million)
% 0.21/0.39 % (8688)------------------------------
% 0.21/0.39 % (8688)------------------------------
% 0.21/0.39 % (8682)Success in time 0.037 s
%------------------------------------------------------------------------------