TSTP Solution File: SWC410+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC410+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 : n027.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 04:01:59 EDT 2024
% Result : Theorem 0.62s 0.85s
% Output : Refutation 0.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 32
% Syntax : Number of formulae : 163 ( 16 unt; 0 def)
% Number of atoms : 866 ( 207 equ)
% Maximal formula atoms : 48 ( 5 avg)
% Number of connectives : 1167 ( 464 ~; 488 |; 158 &)
% ( 18 <=>; 39 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 13 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 206 ( 159 !; 47 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1486,plain,
$false,
inference(avatar_sat_refutation,[],[f286,f291,f300,f303,f309,f315,f344,f349,f354,f356,f361,f1347,f1435,f1485]) ).
fof(f1485,plain,
( ~ spl17_4
| ~ spl17_6
| spl17_9
| ~ spl17_32 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1484,plain,
( $false
| ~ spl17_4
| ~ spl17_6
| spl17_9
| ~ spl17_32 ),
inference(subsumption_resolution,[],[f1483,f178]) ).
fof(f178,plain,
ssItem(sK4),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK2)
| ! [X7] :
( ~ neq(nil,sK2)
| hd(sK2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK3 = X4
| ~ ssList(X4) )
& neq(sK2,nil) )
| ~ neq(sK3,nil) )
& ( nil != sK3
| nil = sK2 )
& ~ memberP(sK0,sK4)
& memberP(sK1,sK4)
& ssItem(sK4)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f100,f147,f146,f145,f144,f143]) ).
fof(f143,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ? [X8] :
( ~ memberP(X0,X8)
& memberP(X1,X8)
& ssItem(X8) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ? [X8] :
( ~ memberP(sK0,X8)
& memberP(X1,X8)
& ssItem(X8) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ? [X8] :
( ~ memberP(sK0,X8)
& memberP(X1,X8)
& ssItem(X8) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ? [X8] :
( ~ memberP(sK0,X8)
& memberP(sK1,X8)
& ssItem(X8) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ? [X8] :
( ~ memberP(sK0,X8)
& memberP(sK1,X8)
& ssItem(X8) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK2)
| ! [X7] :
( ~ neq(nil,sK2)
| hd(sK2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(sK2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = sK2 )
& ? [X8] :
( ~ memberP(sK0,X8)
& memberP(sK1,X8)
& ssItem(X8) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK2)
| ! [X7] :
( ~ neq(nil,sK2)
| hd(sK2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(sK2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = sK2 )
& ? [X8] :
( ~ memberP(sK0,X8)
& memberP(sK1,X8)
& ssItem(X8) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK2)
| ! [X7] :
( ~ neq(nil,sK2)
| hd(sK2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK3 = X4
| ~ ssList(X4) )
& neq(sK2,nil) )
| ~ neq(sK3,nil) )
& ( nil != sK3
| nil = sK2 )
& ? [X8] :
( ~ memberP(sK0,X8)
& memberP(sK1,X8)
& ssItem(X8) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f147,plain,
( ? [X8] :
( ~ memberP(sK0,X8)
& memberP(sK1,X8)
& ssItem(X8) )
=> ( ~ memberP(sK0,sK4)
& memberP(sK1,sK4)
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ? [X8] :
( ~ memberP(X0,X8)
& memberP(X1,X8)
& ssItem(X8) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X2)
| ! [X7] :
( ~ neq(nil,X2)
| hd(X2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(X2) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| X3 = X4
| ~ ssList(X4) )
& neq(X2,nil) )
| ~ neq(X3,nil) )
& ( nil != X3
| nil = X2 )
& ? [X8] :
( ~ memberP(X0,X8)
& memberP(X1,X8)
& ssItem(X8) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X4] :
( ? [X5] :
( ? [X6] :
( neq(nil,X2)
& ? [X7] :
( neq(nil,X2)
& hd(X2) = X7
& cons(X7,nil) = X6
& ssItem(X7) )
& app(X5,X6) = X4
& tl(X2) = X5
& ssList(X6) )
& ssList(X5) )
& X3 != X4
& ssList(X4) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ! [X8] :
( ssItem(X8)
=> ( memberP(X0,X8)
| ~ memberP(X1,X8) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X5] :
( ? [X6] :
( ? [X7] :
( neq(nil,X2)
& ? [X8] :
( neq(nil,X2)
& hd(X2) = X8
& cons(X8,nil) = X7
& ssItem(X8) )
& app(X6,X7) = X5
& tl(X2) = X6
& ssList(X7) )
& ssList(X6) )
& X3 != X5
& ssList(X5) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ? [X5] :
( ? [X6] :
( ? [X7] :
( neq(nil,X2)
& ? [X8] :
( neq(nil,X2)
& hd(X2) = X8
& cons(X8,nil) = X7
& ssItem(X8) )
& app(X6,X7) = X5
& tl(X2) = X6
& ssList(X7) )
& ssList(X6) )
& X3 != X5
& ssList(X5) )
| ~ neq(X2,nil) )
& neq(X3,nil) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X0,X4)
| ~ memberP(X1,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',co1) ).
fof(f1483,plain,
( ~ ssItem(sK4)
| ~ spl17_4
| ~ spl17_6
| spl17_9
| ~ spl17_32 ),
inference(subsumption_resolution,[],[f1481,f234]) ).
fof(f234,plain,
~ memberP(sK2,sK4),
inference(definition_unfolding,[],[f180,f177]) ).
fof(f177,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f148]) ).
fof(f180,plain,
~ memberP(sK0,sK4),
inference(cnf_transformation,[],[f148]) ).
fof(f1481,plain,
( memberP(sK2,sK4)
| ~ ssItem(sK4)
| ~ spl17_4
| ~ spl17_6
| spl17_9
| ~ spl17_32 ),
inference(resolution,[],[f1346,f511]) ).
fof(f511,plain,
( ! [X0] :
( ~ memberP(sF15,X0)
| memberP(sK2,X0)
| ~ ssItem(X0) )
| ~ spl17_4
| ~ spl17_6
| spl17_9 ),
inference(subsumption_resolution,[],[f510,f280]) ).
fof(f280,plain,
( ssItem(sF13)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl17_6
<=> ssItem(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_6])]) ).
fof(f510,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(sF15,X0)
| ~ ssItem(sF13)
| ~ ssItem(X0) )
| ~ spl17_4
| spl17_9 ),
inference(subsumption_resolution,[],[f507,f272]) ).
fof(f272,plain,
( ssList(sF15)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl17_4
<=> ssList(sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_4])]) ).
fof(f507,plain,
( ! [X0] :
( memberP(sK2,X0)
| ~ memberP(sF15,X0)
| ~ ssList(sF15)
| ~ ssItem(sF13)
| ~ ssItem(X0) )
| spl17_9 ),
inference(superposition,[],[f221,f420]) ).
fof(f420,plain,
( sK2 = cons(sF13,sF15)
| spl17_9 ),
inference(forward_demodulation,[],[f419,f250]) ).
fof(f250,plain,
tl(sK2) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f419,plain,
( sK2 = cons(sF13,tl(sK2))
| spl17_9 ),
inference(subsumption_resolution,[],[f418,f174]) ).
fof(f174,plain,
ssList(sK2),
inference(cnf_transformation,[],[f148]) ).
fof(f418,plain,
( sK2 = cons(sF13,tl(sK2))
| ~ ssList(sK2)
| spl17_9 ),
inference(subsumption_resolution,[],[f408,f294]) ).
fof(f294,plain,
( nil != sK2
| spl17_9 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl17_9
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_9])]) ).
fof(f408,plain,
( sK2 = cons(sF13,tl(sK2))
| nil = sK2
| ~ ssList(sK2) ),
inference(superposition,[],[f212,f248]) ).
fof(f248,plain,
hd(sK2) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f212,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',ax78) ).
fof(f221,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',ax37) ).
fof(f1346,plain,
( memberP(sF15,sK4)
| ~ spl17_32 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1344,plain,
( spl17_32
<=> memberP(sF15,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_32])]) ).
fof(f1435,plain,
( ~ spl17_4
| ~ spl17_6
| spl17_9
| ~ spl17_31 ),
inference(avatar_contradiction_clause,[],[f1434]) ).
fof(f1434,plain,
( $false
| ~ spl17_4
| ~ spl17_6
| spl17_9
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1425,f234]) ).
fof(f1425,plain,
( memberP(sK2,sK4)
| ~ spl17_4
| ~ spl17_6
| spl17_9
| ~ spl17_31 ),
inference(superposition,[],[f445,f1378]) ).
fof(f1378,plain,
( sK4 = sF13
| ~ spl17_6
| ~ spl17_31 ),
inference(subsumption_resolution,[],[f1376,f178]) ).
fof(f1376,plain,
( sK4 = sF13
| ~ ssItem(sK4)
| ~ spl17_6
| ~ spl17_31 ),
inference(resolution,[],[f1342,f913]) ).
fof(f913,plain,
( ! [X0] :
( ~ memberP(sF14,X0)
| sF13 = X0
| ~ ssItem(X0) )
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f912,f218]) ).
fof(f218,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,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.15UeTpipw8/Vampire---4.8_30570',ax38) ).
fof(f912,plain,
( ! [X0] :
( ~ memberP(sF14,X0)
| sF13 = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl17_6 ),
inference(subsumption_resolution,[],[f911,f280]) ).
fof(f911,plain,
! [X0] :
( ~ memberP(sF14,X0)
| sF13 = X0
| memberP(nil,X0)
| ~ ssItem(sF13)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f901,f210]) ).
fof(f210,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',ax17) ).
fof(f901,plain,
! [X0] :
( ~ memberP(sF14,X0)
| sF13 = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sF13)
| ~ ssItem(X0) ),
inference(superposition,[],[f219,f249]) ).
fof(f249,plain,
cons(sF13,nil) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f219,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f1342,plain,
( memberP(sF14,sK4)
| ~ spl17_31 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1340,plain,
( spl17_31
<=> memberP(sF14,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_31])]) ).
fof(f445,plain,
( memberP(sK2,sF13)
| ~ spl17_4
| ~ spl17_6
| spl17_9 ),
inference(subsumption_resolution,[],[f444,f280]) ).
fof(f444,plain,
( memberP(sK2,sF13)
| ~ ssItem(sF13)
| ~ spl17_4
| spl17_9 ),
inference(subsumption_resolution,[],[f440,f272]) ).
fof(f440,plain,
( memberP(sK2,sF13)
| ~ ssList(sF15)
| ~ ssItem(sF13)
| spl17_9 ),
inference(superposition,[],[f253,f420]) ).
fof(f253,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f246]) ).
fof(f246,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f220]) ).
fof(f220,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f1347,plain,
( spl17_31
| spl17_32
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(avatar_split_clause,[],[f1338,f275,f271,f267,f1344,f1340]) ).
fof(f267,plain,
( spl17_3
<=> sK3 = sF16 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_3])]) ).
fof(f275,plain,
( spl17_5
<=> ssList(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_5])]) ).
fof(f1338,plain,
( memberP(sF15,sK4)
| memberP(sF14,sK4)
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f1333,f178]) ).
fof(f1333,plain,
( memberP(sF15,sK4)
| memberP(sF14,sK4)
| ~ ssItem(sK4)
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(resolution,[],[f964,f235]) ).
fof(f235,plain,
memberP(sK3,sK4),
inference(definition_unfolding,[],[f179,f176]) ).
fof(f176,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f148]) ).
fof(f179,plain,
memberP(sK1,sK4),
inference(cnf_transformation,[],[f148]) ).
fof(f964,plain,
( ! [X0] :
( ~ memberP(sK3,X0)
| memberP(sF15,X0)
| memberP(sF14,X0)
| ~ ssItem(X0) )
| ~ spl17_3
| ~ spl17_4
| ~ spl17_5 ),
inference(forward_demodulation,[],[f963,f269]) ).
fof(f269,plain,
( sK3 = sF16
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f963,plain,
( ! [X0] :
( ~ memberP(sF16,X0)
| memberP(sF15,X0)
| memberP(sF14,X0)
| ~ ssItem(X0) )
| ~ spl17_4
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f962,f272]) ).
fof(f962,plain,
( ! [X0] :
( ~ memberP(sF16,X0)
| memberP(sF15,X0)
| memberP(sF14,X0)
| ~ ssList(sF15)
| ~ ssItem(X0) )
| ~ spl17_5 ),
inference(subsumption_resolution,[],[f946,f276]) ).
fof(f276,plain,
( ssList(sF14)
| ~ spl17_5 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f946,plain,
! [X0] :
( ~ memberP(sF16,X0)
| memberP(sF15,X0)
| memberP(sF14,X0)
| ~ ssList(sF14)
| ~ ssList(sF15)
| ~ ssItem(X0) ),
inference(superposition,[],[f222,f251]) ).
fof(f251,plain,
app(sF15,sF14) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f222,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',ax36) ).
fof(f361,plain,
( spl17_7
| spl17_9 ),
inference(avatar_contradiction_clause,[],[f360]) ).
fof(f360,plain,
( $false
| spl17_7
| spl17_9 ),
inference(subsumption_resolution,[],[f359,f210]) ).
fof(f359,plain,
( ~ ssList(nil)
| spl17_7
| spl17_9 ),
inference(subsumption_resolution,[],[f358,f174]) ).
fof(f358,plain,
( ~ ssList(sK2)
| ~ ssList(nil)
| spl17_7
| spl17_9 ),
inference(subsumption_resolution,[],[f357,f294]) ).
fof(f357,plain,
( nil = sK2
| ~ ssList(sK2)
| ~ ssList(nil)
| spl17_7 ),
inference(resolution,[],[f285,f207]) ).
fof(f207,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',ax15) ).
fof(f285,plain,
( ~ neq(nil,sK2)
| spl17_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl17_7
<=> neq(nil,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_7])]) ).
fof(f356,plain,
( spl17_9
| spl17_4 ),
inference(avatar_split_clause,[],[f355,f271,f293]) ).
fof(f355,plain,
( ssList(sF15)
| nil = sK2 ),
inference(subsumption_resolution,[],[f316,f174]) ).
fof(f316,plain,
( ssList(sF15)
| nil = sK2
| ~ ssList(sK2) ),
inference(superposition,[],[f233,f250]) ).
fof(f233,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',ax24) ).
fof(f354,plain,
( ~ spl17_8
| ~ spl17_9 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl17_8
| ~ spl17_9 ),
inference(subsumption_resolution,[],[f351,f210]) ).
fof(f351,plain,
( ~ ssList(nil)
| ~ spl17_8
| ~ spl17_9 ),
inference(resolution,[],[f350,f255]) ).
fof(f255,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f244,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f206]) ).
fof(f206,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f157]) ).
fof(f350,plain,
( neq(nil,nil)
| ~ spl17_8
| ~ spl17_9 ),
inference(forward_demodulation,[],[f290,f295]) ).
fof(f295,plain,
( nil = sK2
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f290,plain,
( neq(sK2,nil)
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl17_8
<=> neq(sK2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_8])]) ).
fof(f349,plain,
( ~ spl17_9
| ~ spl17_10 ),
inference(avatar_contradiction_clause,[],[f348]) ).
fof(f348,plain,
( $false
| ~ spl17_9
| ~ spl17_10 ),
inference(subsumption_resolution,[],[f346,f322]) ).
fof(f322,plain,
( ~ memberP(nil,sK4)
| ~ spl17_9 ),
inference(superposition,[],[f234,f295]) ).
fof(f346,plain,
( memberP(nil,sK4)
| ~ spl17_10 ),
inference(superposition,[],[f235,f298]) ).
fof(f298,plain,
( nil = sK3
| ~ spl17_10 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl17_10
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl17_10])]) ).
fof(f344,plain,
( spl17_10
| spl17_1 ),
inference(avatar_split_clause,[],[f343,f259,f297]) ).
fof(f259,plain,
( spl17_1
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_1])]) ).
fof(f343,plain,
( nil = sK3
| spl17_1 ),
inference(subsumption_resolution,[],[f342,f175]) ).
fof(f175,plain,
ssList(sK3),
inference(cnf_transformation,[],[f148]) ).
fof(f342,plain,
( nil = sK3
| ~ ssList(sK3)
| spl17_1 ),
inference(subsumption_resolution,[],[f333,f210]) ).
fof(f333,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl17_1 ),
inference(resolution,[],[f207,f261]) ).
fof(f261,plain,
( ~ neq(sK3,nil)
| spl17_1 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f315,plain,
( spl17_9
| spl17_6 ),
inference(avatar_split_clause,[],[f314,f279,f293]) ).
fof(f314,plain,
( ssItem(sF13)
| nil = sK2 ),
inference(subsumption_resolution,[],[f310,f174]) ).
fof(f310,plain,
( ssItem(sF13)
| nil = sK2
| ~ ssList(sK2) ),
inference(superposition,[],[f217,f248]) ).
fof(f217,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.15UeTpipw8/Vampire---4.8_30570',ax22) ).
fof(f309,plain,
( ~ spl17_4
| ~ spl17_5
| spl17_2 ),
inference(avatar_split_clause,[],[f304,f263,f275,f271]) ).
fof(f263,plain,
( spl17_2
<=> ssList(sF16) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_2])]) ).
fof(f304,plain,
( ssList(sF16)
| ~ ssList(sF14)
| ~ ssList(sF15) ),
inference(superposition,[],[f205,f251]) ).
fof(f205,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,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.15UeTpipw8/Vampire---4.8_30570',ax26) ).
fof(f303,plain,
( ~ spl17_6
| spl17_5 ),
inference(avatar_split_clause,[],[f302,f275,f279]) ).
fof(f302,plain,
( ssList(sF14)
| ~ ssItem(sF13) ),
inference(subsumption_resolution,[],[f301,f210]) ).
fof(f301,plain,
( ssList(sF14)
| ~ ssItem(sF13)
| ~ ssList(nil) ),
inference(superposition,[],[f204,f249]) ).
fof(f204,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,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.15UeTpipw8/Vampire---4.8_30570',ax16) ).
fof(f300,plain,
( spl17_9
| ~ spl17_10 ),
inference(avatar_split_clause,[],[f181,f297,f293]) ).
fof(f181,plain,
( nil != sK3
| nil = sK2 ),
inference(cnf_transformation,[],[f148]) ).
fof(f291,plain,
( ~ spl17_1
| spl17_8 ),
inference(avatar_split_clause,[],[f182,f288,f259]) ).
fof(f182,plain,
( neq(sK2,nil)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f148]) ).
fof(f286,plain,
( ~ spl17_1
| ~ spl17_2
| spl17_3
| ~ spl17_4
| ~ spl17_5
| ~ spl17_6
| ~ spl17_7 ),
inference(avatar_split_clause,[],[f257,f283,f279,f275,f271,f267,f263,f259]) ).
fof(f257,plain,
( ~ neq(nil,sK2)
| ~ ssItem(sF13)
| ~ ssList(sF14)
| ~ ssList(sF15)
| sK3 = sF16
| ~ ssList(sF16)
| ~ neq(sK3,nil) ),
inference(duplicate_literal_removal,[],[f252]) ).
fof(f252,plain,
( ~ neq(nil,sK2)
| ~ neq(nil,sK2)
| ~ ssItem(sF13)
| ~ ssList(sF14)
| ~ ssList(sF15)
| sK3 = sF16
| ~ ssList(sF16)
| ~ neq(sK3,nil) ),
inference(definition_folding,[],[f241,f251,f249,f248,f250,f251,f249,f248,f250,f250,f249,f248,f248]) ).
fof(f241,plain,
( ~ neq(nil,sK2)
| ~ neq(nil,sK2)
| ~ ssItem(hd(sK2))
| ~ ssList(cons(hd(sK2),nil))
| ~ ssList(tl(sK2))
| sK3 = app(tl(sK2),cons(hd(sK2),nil))
| ~ ssList(app(tl(sK2),cons(hd(sK2),nil)))
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f240]) ).
fof(f240,plain,
! [X5] :
( ~ neq(nil,sK2)
| ~ neq(nil,sK2)
| ~ ssItem(hd(sK2))
| tl(sK2) != X5
| ~ ssList(cons(hd(sK2),nil))
| ~ ssList(X5)
| sK3 = app(X5,cons(hd(sK2),nil))
| ~ ssList(app(X5,cons(hd(sK2),nil)))
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f239]) ).
fof(f239,plain,
! [X4,X5] :
( ~ neq(nil,sK2)
| ~ neq(nil,sK2)
| ~ ssItem(hd(sK2))
| app(X5,cons(hd(sK2),nil)) != X4
| tl(sK2) != X5
| ~ ssList(cons(hd(sK2),nil))
| ~ ssList(X5)
| sK3 = X4
| ~ ssList(X4)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f238]) ).
fof(f238,plain,
! [X6,X4,X5] :
( ~ neq(nil,sK2)
| ~ neq(nil,sK2)
| cons(hd(sK2),nil) != X6
| ~ ssItem(hd(sK2))
| app(X5,X6) != X4
| tl(sK2) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK3 = X4
| ~ ssList(X4)
| ~ neq(sK3,nil) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,plain,
! [X6,X7,X4,X5] :
( ~ neq(nil,sK2)
| ~ neq(nil,sK2)
| hd(sK2) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X5,X6) != X4
| tl(sK2) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK3 = X4
| ~ ssList(X4)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC410+1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % 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
% 0.11/0.31 % Computer : n027.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Apr 30 18:45:33 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.31 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.31 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.15UeTpipw8/Vampire---4.8_30570
% 0.62/0.80 % (30680)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 (2995ds/34Mi)
% 0.62/0.80 % (30681)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 (2995ds/51Mi)
% 0.62/0.80 % (30682)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80 % (30683)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80 % (30684)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 (2995ds/34Mi)
% 0.62/0.80 % (30685)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80 % (30686)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 (2995ds/83Mi)
% 0.62/0.80 % (30687)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 (2995ds/56Mi)
% 0.62/0.80 % (30687)Refutation not found, incomplete strategy% (30687)------------------------------
% 0.62/0.80 % (30687)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80 % (30687)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80
% 0.62/0.80 % (30687)Memory used [KB]: 1171
% 0.62/0.80 % (30687)Time elapsed: 0.005 s
% 0.62/0.80 % (30687)Instructions burned: 6 (million)
% 0.62/0.80 % (30687)------------------------------
% 0.62/0.80 % (30687)------------------------------
% 0.62/0.80 % (30688)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.81 % (30680)Instruction limit reached!
% 0.62/0.81 % (30680)------------------------------
% 0.62/0.81 % (30680)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (30680)Termination reason: Unknown
% 0.62/0.81 % (30680)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (30680)Memory used [KB]: 1491
% 0.62/0.81 % (30680)Time elapsed: 0.018 s
% 0.62/0.81 % (30680)Instructions burned: 35 (million)
% 0.62/0.81 % (30680)------------------------------
% 0.62/0.81 % (30680)------------------------------
% 0.62/0.81 % (30683)Instruction limit reached!
% 0.62/0.81 % (30683)------------------------------
% 0.62/0.81 % (30683)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (30683)Termination reason: Unknown
% 0.62/0.81 % (30684)Instruction limit reached!
% 0.62/0.81 % (30684)------------------------------
% 0.62/0.81 % (30684)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81 % (30684)Termination reason: Unknown
% 0.62/0.81 % (30684)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (30684)Memory used [KB]: 2077
% 0.62/0.81 % (30684)Time elapsed: 0.019 s
% 0.62/0.81 % (30684)Instructions burned: 35 (million)
% 0.62/0.81 % (30684)------------------------------
% 0.62/0.81 % (30684)------------------------------
% 0.62/0.81 % (30683)Termination phase: Saturation
% 0.62/0.81
% 0.62/0.81 % (30683)Memory used [KB]: 1530
% 0.62/0.81 % (30683)Time elapsed: 0.019 s
% 0.62/0.81 % (30683)Instructions burned: 33 (million)
% 0.62/0.81 % (30683)------------------------------
% 0.62/0.81 % (30683)------------------------------
% 0.62/0.82 % (30689)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.82 % (30690)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.82 % (30691)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.82 % (30685)Instruction limit reached!
% 0.62/0.82 % (30685)------------------------------
% 0.62/0.82 % (30685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (30685)Termination reason: Unknown
% 0.62/0.82 % (30685)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (30685)Memory used [KB]: 1649
% 0.62/0.82 % (30685)Time elapsed: 0.024 s
% 0.62/0.82 % (30685)Instructions burned: 46 (million)
% 0.62/0.82 % (30685)------------------------------
% 0.62/0.82 % (30685)------------------------------
% 0.62/0.82 % (30681)Instruction limit reached!
% 0.62/0.82 % (30681)------------------------------
% 0.62/0.82 % (30681)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82 % (30681)Termination reason: Unknown
% 0.62/0.82 % (30681)Termination phase: Saturation
% 0.62/0.82
% 0.62/0.82 % (30681)Memory used [KB]: 1889
% 0.62/0.82 % (30681)Time elapsed: 0.028 s
% 0.62/0.82 % (30681)Instructions burned: 52 (million)
% 0.62/0.82 % (30681)------------------------------
% 0.62/0.82 % (30681)------------------------------
% 0.62/0.82 % (30692)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.83 % (30693)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2994ds/42Mi)
% 0.62/0.83 % (30688)Instruction limit reached!
% 0.62/0.83 % (30688)------------------------------
% 0.62/0.83 % (30688)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (30688)Termination reason: Unknown
% 0.62/0.83 % (30688)Termination phase: Saturation
% 0.62/0.83
% 0.62/0.83 % (30688)Memory used [KB]: 2168
% 0.62/0.83 % (30688)Time elapsed: 0.029 s
% 0.62/0.83 % (30688)Instructions burned: 55 (million)
% 0.62/0.83 % (30688)------------------------------
% 0.62/0.83 % (30688)------------------------------
% 0.62/0.83 % (30692)Refutation not found, incomplete strategy% (30692)------------------------------
% 0.62/0.83 % (30692)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.83 % (30692)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.83
% 0.62/0.83 % (30692)Memory used [KB]: 1512
% 0.62/0.83 % (30692)Time elapsed: 0.013 s
% 0.62/0.83 % (30692)Instructions burned: 22 (million)
% 0.62/0.83 % (30692)------------------------------
% 0.62/0.83 % (30692)------------------------------
% 0.62/0.83 % (30694)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2994ds/243Mi)
% 0.62/0.83 % (30686)Instruction limit reached!
% 0.62/0.83 % (30686)------------------------------
% 0.62/0.83 % (30686)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (30686)Termination reason: Unknown
% 0.62/0.84 % (30686)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (30686)Memory used [KB]: 2150
% 0.62/0.84 % (30686)Time elapsed: 0.041 s
% 0.62/0.84 % (30686)Instructions burned: 84 (million)
% 0.62/0.84 % (30686)------------------------------
% 0.62/0.84 % (30686)------------------------------
% 0.62/0.84 % (30689)Instruction limit reached!
% 0.62/0.84 % (30689)------------------------------
% 0.62/0.84 % (30689)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (30689)Termination reason: Unknown
% 0.62/0.84 % (30689)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (30689)Memory used [KB]: 1900
% 0.62/0.84 % (30689)Time elapsed: 0.023 s
% 0.62/0.84 % (30689)Instructions burned: 51 (million)
% 0.62/0.84 % (30689)------------------------------
% 0.62/0.84 % (30689)------------------------------
% 0.62/0.84 % (30695)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.62/0.84 % (30682)Instruction limit reached!
% 0.62/0.84 % (30682)------------------------------
% 0.62/0.84 % (30682)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (30682)Termination reason: Unknown
% 0.62/0.84 % (30682)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (30682)Memory used [KB]: 2121
% 0.62/0.84 % (30682)Time elapsed: 0.045 s
% 0.62/0.84 % (30696)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2994ds/143Mi)
% 0.62/0.84 % (30682)Instructions burned: 79 (million)
% 0.62/0.84 % (30682)------------------------------
% 0.62/0.84 % (30682)------------------------------
% 0.62/0.84 % (30697)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2994ds/93Mi)
% 0.62/0.84 % (30698)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2994ds/62Mi)
% 0.62/0.84 % (30691)Instruction limit reached!
% 0.62/0.84 % (30691)------------------------------
% 0.62/0.84 % (30691)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.84 % (30691)Termination reason: Unknown
% 0.62/0.84 % (30691)Termination phase: Saturation
% 0.62/0.84
% 0.62/0.84 % (30691)Memory used [KB]: 1964
% 0.62/0.84 % (30691)Time elapsed: 0.030 s
% 0.62/0.84 % (30691)Instructions burned: 53 (million)
% 0.62/0.84 % (30691)------------------------------
% 0.62/0.84 % (30691)------------------------------
% 0.62/0.85 % (30693)Instruction limit reached!
% 0.62/0.85 % (30693)------------------------------
% 0.62/0.85 % (30693)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (30693)Termination reason: Unknown
% 0.62/0.85 % (30693)Termination phase: Saturation
% 0.62/0.85 % (30690)First to succeed.
% 0.62/0.85
% 0.62/0.85 % (30693)Memory used [KB]: 2115
% 0.62/0.85 % (30693)Time elapsed: 0.023 s
% 0.62/0.85 % (30693)Instructions burned: 43 (million)
% 0.62/0.85 % (30693)------------------------------
% 0.62/0.85 % (30693)------------------------------
% 0.62/0.85 % (30699)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2994ds/32Mi)
% 0.62/0.85 % (30700)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2994ds/1919Mi)
% 0.62/0.85 % (30690)Refutation found. Thanks to Tanya!
% 0.62/0.85 % SZS status Theorem for Vampire---4
% 0.62/0.85 % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.85 % (30690)------------------------------
% 0.62/0.85 % (30690)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.85 % (30690)Termination reason: Refutation
% 0.62/0.85
% 0.62/0.85 % (30690)Memory used [KB]: 1540
% 0.62/0.85 % (30690)Time elapsed: 0.035 s
% 0.62/0.85 % (30690)Instructions burned: 63 (million)
% 0.62/0.85 % (30690)------------------------------
% 0.62/0.85 % (30690)------------------------------
% 0.62/0.85 % (30677)Success in time 0.526 s
% 0.62/0.85 % Vampire---4.8 exiting
%------------------------------------------------------------------------------