TSTP Solution File: SWC182+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC182+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 : Wed May 1 04:00:23 EDT 2024
% Result : Theorem 0.47s 0.63s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 83 ( 10 unt; 0 def)
% Number of atoms : 382 ( 105 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 416 ( 117 ~; 128 |; 135 &)
% ( 8 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 109 ( 46 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f376,plain,
$false,
inference(avatar_sat_refutation,[],[f222,f293,f336,f338,f346,f354,f375]) ).
fof(f375,plain,
( ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_13 ),
inference(avatar_contradiction_clause,[],[f374]) ).
fof(f374,plain,
( $false
| ~ spl13_1
| spl13_2
| ~ spl13_4
| ~ spl13_5
| ~ spl13_13 ),
inference(subsumption_resolution,[],[f371,f355]) ).
fof(f355,plain,
( ~ memberP(sK2,sK4)
| spl13_2
| ~ spl13_13 ),
inference(forward_demodulation,[],[f220,f343]) ).
fof(f343,plain,
( sK2 = sK6
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl13_13
<=> sK2 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f220,plain,
( ~ memberP(sK6,sK4)
| spl13_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f219,plain,
( spl13_2
<=> memberP(sK6,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f371,plain,
( memberP(sK2,sK4)
| ~ spl13_1
| ~ spl13_4
| ~ spl13_5 ),
inference(backward_demodulation,[],[f217,f370]) ).
fof(f370,plain,
( sK2 = sK5
| ~ spl13_4
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f369,f155]) ).
fof(f155,plain,
ssList(sK5),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( memberP(sK6,sK4)
| memberP(sK5,sK4) )
& sK0 = app(app(sK5,cons(sK4,nil)),sK6)
& ssList(sK6)
& ssList(sK5)
& ssItem(sK4)
& sK0 = sK2
& sK1 = sK3
& nil = sK2
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f99,f128,f127,f126,f125,f124,f123,f122]) ).
fof(f122,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& X0 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& sK0 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& sK0 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& sK0 = X2
& sK1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& sK0 = X2
& sK1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& sK0 = sK2
& sK1 = X3
& nil = sK2
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& sK0 = sK2
& sK1 = X3
& nil = sK2
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& sK0 = sK2
& sK1 = sK3
& nil = sK2
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = sK0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( ? [X6] :
( ( memberP(X6,sK4)
| memberP(X5,sK4) )
& sK0 = app(app(X5,cons(sK4,nil)),X6)
& ssList(X6) )
& ssList(X5) )
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X5] :
( ? [X6] :
( ( memberP(X6,sK4)
| memberP(X5,sK4) )
& sK0 = app(app(X5,cons(sK4,nil)),X6)
& ssList(X6) )
& ssList(X5) )
=> ( ? [X6] :
( ( memberP(X6,sK4)
| memberP(sK5,sK4) )
& sK0 = app(app(sK5,cons(sK4,nil)),X6)
& ssList(X6) )
& ssList(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X6] :
( ( memberP(X6,sK4)
| memberP(sK5,sK4) )
& sK0 = app(app(sK5,cons(sK4,nil)),X6)
& ssList(X6) )
=> ( ( memberP(sK6,sK4)
| memberP(sK5,sK4) )
& sK0 = app(app(sK5,cons(sK4,nil)),sK6)
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& X0 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ( memberP(X6,X4)
| memberP(X5,X4) )
& app(app(X5,cons(X4,nil)),X6) = X0
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
& X0 = X2
& X1 = X3
& nil = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| X0 != X2
| X1 != X3
| nil != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ! [X6] :
( ssList(X6)
=> ( ( ~ memberP(X6,X4)
& ~ memberP(X5,X4) )
| app(app(X5,cons(X4,nil)),X6) != X0 ) ) ) )
| X0 != X2
| X1 != X3
| nil != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XR6K1V8xYW/Vampire---4.8_27735',co1) ).
fof(f369,plain,
( sK2 = sK5
| ~ ssList(sK5)
| ~ spl13_4
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f363,f252]) ).
fof(f252,plain,
( ssList(cons(sK4,sK2))
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl13_5
<=> ssList(cons(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f363,plain,
( sK2 = sK5
| ~ ssList(cons(sK4,sK2))
| ~ ssList(sK5)
| ~ spl13_4 ),
inference(trivial_inequality_removal,[],[f362]) ).
fof(f362,plain,
( sK2 != sK2
| sK2 = sK5
| ~ ssList(cons(sK4,sK2))
| ~ ssList(sK5)
| ~ spl13_4 ),
inference(superposition,[],[f202,f237]) ).
fof(f237,plain,
( sK2 = app(sK5,cons(sK4,sK2))
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl13_4
<=> sK2 = app(sK5,cons(sK4,sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f202,plain,
! [X0,X1] :
( app(X0,X1) != sK2
| sK2 = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f172,f151,f151]) ).
fof(f151,plain,
nil = sK2,
inference(cnf_transformation,[],[f129]) ).
fof(f172,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XR6K1V8xYW/Vampire---4.8_27735',ax83) ).
fof(f217,plain,
( memberP(sK5,sK4)
| ~ spl13_1 ),
inference(avatar_component_clause,[],[f215]) ).
fof(f215,plain,
( spl13_1
<=> memberP(sK5,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f354,plain,
( ~ spl13_2
| ~ spl13_13 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl13_2
| ~ spl13_13 ),
inference(subsumption_resolution,[],[f352,f154]) ).
fof(f154,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f352,plain,
( ~ ssItem(sK4)
| ~ spl13_2
| ~ spl13_13 ),
inference(resolution,[],[f350,f207]) ).
fof(f207,plain,
! [X0] :
( ~ memberP(sK2,X0)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f182,f151]) ).
fof(f182,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.XR6K1V8xYW/Vampire---4.8_27735',ax38) ).
fof(f350,plain,
( memberP(sK2,sK4)
| ~ spl13_2
| ~ spl13_13 ),
inference(backward_demodulation,[],[f221,f343]) ).
fof(f221,plain,
( memberP(sK6,sK4)
| ~ spl13_2 ),
inference(avatar_component_clause,[],[f219]) ).
fof(f346,plain,
( ~ spl13_3
| spl13_13 ),
inference(avatar_split_clause,[],[f345,f341,f231]) ).
fof(f231,plain,
( spl13_3
<=> ssList(app(sK5,cons(sK4,sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f345,plain,
( sK2 = sK6
| ~ ssList(app(sK5,cons(sK4,sK2))) ),
inference(subsumption_resolution,[],[f242,f156]) ).
fof(f156,plain,
ssList(sK6),
inference(cnf_transformation,[],[f129]) ).
fof(f242,plain,
( sK2 = sK6
| ~ ssList(sK6)
| ~ ssList(app(sK5,cons(sK4,sK2))) ),
inference(trivial_inequality_removal,[],[f241]) ).
fof(f241,plain,
( sK2 != sK2
| sK2 = sK6
| ~ ssList(sK6)
| ~ ssList(app(sK5,cons(sK4,sK2))) ),
inference(superposition,[],[f203,f193]) ).
fof(f193,plain,
sK2 = app(app(sK5,cons(sK4,sK2)),sK6),
inference(definition_unfolding,[],[f157,f153,f151]) ).
fof(f153,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f129]) ).
fof(f157,plain,
sK0 = app(app(sK5,cons(sK4,nil)),sK6),
inference(cnf_transformation,[],[f129]) ).
fof(f203,plain,
! [X0,X1] :
( app(X0,X1) != sK2
| sK2 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f171,f151,f151]) ).
fof(f171,plain,
! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f338,plain,
( ~ spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f337,f235,f231]) ).
fof(f337,plain,
( sK2 = app(sK5,cons(sK4,sK2))
| ~ ssList(app(sK5,cons(sK4,sK2))) ),
inference(subsumption_resolution,[],[f309,f156]) ).
fof(f309,plain,
( sK2 = app(sK5,cons(sK4,sK2))
| ~ ssList(sK6)
| ~ ssList(app(sK5,cons(sK4,sK2))) ),
inference(trivial_inequality_removal,[],[f308]) ).
fof(f308,plain,
( sK2 != sK2
| sK2 = app(sK5,cons(sK4,sK2))
| ~ ssList(sK6)
| ~ ssList(app(sK5,cons(sK4,sK2))) ),
inference(superposition,[],[f202,f193]) ).
fof(f336,plain,
( spl13_3
| ~ spl13_5 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| spl13_3
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f334,f155]) ).
fof(f334,plain,
( ~ ssList(sK5)
| spl13_3
| ~ spl13_5 ),
inference(subsumption_resolution,[],[f333,f252]) ).
fof(f333,plain,
( ~ ssList(cons(sK4,sK2))
| ~ ssList(sK5)
| spl13_3 ),
inference(resolution,[],[f233,f180]) ).
fof(f180,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XR6K1V8xYW/Vampire---4.8_27735',ax26) ).
fof(f233,plain,
( ~ ssList(app(sK5,cons(sK4,sK2)))
| spl13_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f293,plain,
spl13_5,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f292,plain,
( $false
| spl13_5 ),
inference(subsumption_resolution,[],[f291,f149]) ).
fof(f149,plain,
ssList(sK2),
inference(cnf_transformation,[],[f129]) ).
fof(f291,plain,
( ~ ssList(sK2)
| spl13_5 ),
inference(subsumption_resolution,[],[f288,f154]) ).
fof(f288,plain,
( ~ ssItem(sK4)
| ~ ssList(sK2)
| spl13_5 ),
inference(resolution,[],[f169,f253]) ).
fof(f253,plain,
( ~ ssList(cons(sK4,sK2))
| spl13_5 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f169,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.XR6K1V8xYW/Vampire---4.8_27735',ax16) ).
fof(f222,plain,
( spl13_1
| spl13_2 ),
inference(avatar_split_clause,[],[f158,f219,f215]) ).
fof(f158,plain,
( memberP(sK6,sK4)
| memberP(sK5,sK4) ),
inference(cnf_transformation,[],[f129]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC182+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue Apr 30 18:25:06 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.28 This is a FOF_THM_RFO_SEQ problem
% 0.09/0.28 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.XR6K1V8xYW/Vampire---4.8_27735
% 0.47/0.63 % (27946)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.47/0.63 % (27952)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.47/0.63 % (27945)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.47/0.63 % (27947)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.47/0.63 % (27948)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.47/0.63 % (27950)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.47/0.63 % (27951)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.47/0.63 % (27949)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.47/0.63 % (27947)First to succeed.
% 0.47/0.63 % (27947)Refutation found. Thanks to Tanya!
% 0.47/0.63 % SZS status Theorem for Vampire---4
% 0.47/0.63 % SZS output start Proof for Vampire---4
% See solution above
% 0.47/0.63 % (27947)------------------------------
% 0.47/0.63 % (27947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.47/0.63 % (27947)Termination reason: Refutation
% 0.47/0.63
% 0.47/0.63 % (27947)Memory used [KB]: 1190
% 0.47/0.63 % (27947)Time elapsed: 0.007 s
% 0.47/0.63 % (27947)Instructions burned: 13 (million)
% 0.47/0.63 % (27947)------------------------------
% 0.47/0.63 % (27947)------------------------------
% 0.47/0.63 % (27899)Success in time 0.342 s
% 0.47/0.63 % Vampire---4.8 exiting
%------------------------------------------------------------------------------