TSTP Solution File: SWC073+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC073+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n025.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 03:59:35 EDT 2024
% Result : Theorem 0.75s 0.64s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 37
% Syntax : Number of formulae : 186 ( 11 unt; 0 def)
% Number of atoms : 978 ( 270 equ)
% Maximal formula atoms : 54 ( 5 avg)
% Number of connectives : 1371 ( 579 ~; 568 |; 166 &)
% ( 17 <=>; 41 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 14 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 242 ( 191 !; 51 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1497,plain,
$false,
inference(avatar_sat_refutation,[],[f286,f291,f300,f301,f308,f314,f320,f347,f355,f359,f425,f1209,f1230,f1459,f1492,f1496]) ).
fof(f1496,plain,
( spl16_7
| ~ spl16_8
| ~ spl16_10 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1495,plain,
( $false
| spl16_7
| ~ spl16_8
| ~ spl16_10 ),
inference(subsumption_resolution,[],[f1494,f1485]) ).
fof(f1485,plain,
( neq(nil,nil)
| ~ spl16_8
| ~ spl16_10 ),
inference(superposition,[],[f290,f298]) ).
fof(f298,plain,
( nil = sK2
| ~ spl16_10 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f297,plain,
( spl16_10
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_10])]) ).
fof(f290,plain,
( neq(sK2,nil)
| ~ spl16_8 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f288,plain,
( spl16_8
<=> neq(sK2,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_8])]) ).
fof(f1494,plain,
( ~ neq(nil,nil)
| spl16_7
| ~ spl16_10 ),
inference(forward_demodulation,[],[f285,f298]) ).
fof(f285,plain,
( ~ neq(nil,sK2)
| spl16_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl16_7
<=> neq(nil,sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_7])]) ).
fof(f1492,plain,
( ~ spl16_7
| ~ spl16_10 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| ~ spl16_7
| ~ spl16_10 ),
inference(subsumption_resolution,[],[f1489,f211]) ).
fof(f211,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax17) ).
fof(f1489,plain,
( ~ ssList(nil)
| ~ spl16_7
| ~ spl16_10 ),
inference(resolution,[],[f1484,f255]) ).
fof(f255,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f245,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,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/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax15) ).
fof(f1484,plain,
( neq(nil,nil)
| ~ spl16_7
| ~ spl16_10 ),
inference(superposition,[],[f284,f298]) ).
fof(f284,plain,
( neq(nil,sK2)
| ~ spl16_7 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f1459,plain,
( ~ spl16_4
| ~ spl16_5
| ~ spl16_6
| ~ spl16_12
| spl16_20 ),
inference(avatar_contradiction_clause,[],[f1458]) ).
fof(f1458,plain,
( $false
| ~ spl16_4
| ~ spl16_5
| ~ spl16_6
| ~ spl16_12
| spl16_20 ),
inference(subsumption_resolution,[],[f1457,f272]) ).
fof(f272,plain,
( ssList(sF14)
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f271,plain,
( spl16_4
<=> ssList(sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
fof(f1457,plain,
( ~ ssList(sF14)
| ~ spl16_5
| ~ spl16_6
| ~ spl16_12
| spl16_20 ),
inference(subsumption_resolution,[],[f1450,f1208]) ).
fof(f1208,plain,
( ~ segmentP(sK2,sF13)
| spl16_20 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1206,plain,
( spl16_20
<=> segmentP(sK2,sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_20])]) ).
fof(f1450,plain,
( segmentP(sK2,sF13)
| ~ ssList(sF14)
| ~ spl16_5
| ~ spl16_6
| ~ spl16_12 ),
inference(superposition,[],[f1365,f416]) ).
fof(f416,plain,
( sK2 = cons(sF12,sF14)
| ~ spl16_12 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f414,plain,
( spl16_12
<=> sK2 = cons(sF12,sF14) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_12])]) ).
fof(f1365,plain,
( ! [X0] :
( segmentP(cons(sF12,X0),sF13)
| ~ ssList(X0) )
| ~ spl16_5
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f1349,f276]) ).
fof(f276,plain,
( ssList(sF13)
| ~ spl16_5 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl16_5
<=> ssList(sF13) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_5])]) ).
fof(f1349,plain,
( ! [X0] :
( segmentP(cons(sF12,X0),sF13)
| ~ ssList(X0)
| ~ ssList(sF13) )
| ~ spl16_6 ),
inference(duplicate_literal_removal,[],[f1345]) ).
fof(f1345,plain,
( ! [X0] :
( segmentP(cons(sF12,X0),sF13)
| ~ ssList(X0)
| ~ ssList(sF13)
| ~ ssList(X0) )
| ~ spl16_6 ),
inference(superposition,[],[f1004,f450]) ).
fof(f450,plain,
( ! [X0] :
( cons(sF12,X0) = app(sF13,X0)
| ~ ssList(X0) )
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f443,f280]) ).
fof(f280,plain,
( ssItem(sF12)
| ~ spl16_6 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl16_6
<=> ssItem(sF12) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_6])]) ).
fof(f443,plain,
! [X0] :
( cons(sF12,X0) = app(sF13,X0)
| ~ ssItem(sF12)
| ~ ssList(X0) ),
inference(superposition,[],[f190,f250]) ).
fof(f250,plain,
cons(sF12,nil) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f190,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax81) ).
fof(f1004,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f1003,f206]) ).
fof(f206,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/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax26) ).
fof(f1003,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(subsumption_resolution,[],[f992,f211]) ).
fof(f992,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ),
inference(duplicate_literal_removal,[],[f979]) ).
fof(f979,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0) ),
inference(superposition,[],[f248,f193]) ).
fof(f193,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax28) ).
fof(f248,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f234]) ).
fof(f234,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK10(X0,X1),X1),sK11(X0,X1)) = X0
& ssList(sK11(X0,X1))
& ssList(sK10(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f170,f172,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK10(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK10(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK10(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK10(X0,X1),X1),sK11(X0,X1)) = X0
& ssList(sK11(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax7) ).
fof(f1230,plain,
( ~ spl16_5
| ~ spl16_6
| spl16_19 ),
inference(avatar_contradiction_clause,[],[f1229]) ).
fof(f1229,plain,
( $false
| ~ spl16_5
| ~ spl16_6
| spl16_19 ),
inference(subsumption_resolution,[],[f1228,f276]) ).
fof(f1228,plain,
( ~ ssList(sF13)
| ~ spl16_6
| spl16_19 ),
inference(subsumption_resolution,[],[f1227,f211]) ).
fof(f1227,plain,
( ~ ssList(nil)
| ~ ssList(sF13)
| ~ spl16_6
| spl16_19 ),
inference(subsumption_resolution,[],[f1216,f337]) ).
fof(f337,plain,
( nil != sF13
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f336,f211]) ).
fof(f336,plain,
( nil != sF13
| ~ ssList(nil)
| ~ spl16_6 ),
inference(subsumption_resolution,[],[f335,f280]) ).
fof(f335,plain,
( nil != sF13
| ~ ssItem(sF12)
| ~ ssList(nil) ),
inference(superposition,[],[f195,f250]) ).
fof(f195,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax21) ).
fof(f1216,plain,
( nil = sF13
| ~ ssList(nil)
| ~ ssList(sF13)
| spl16_19 ),
inference(resolution,[],[f1204,f208]) ).
fof(f208,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f1204,plain,
( ~ neq(sF13,nil)
| spl16_19 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1202,plain,
( spl16_19
<=> neq(sF13,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_19])]) ).
fof(f1209,plain,
( ~ spl16_19
| ~ spl16_20
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(avatar_split_clause,[],[f1200,f275,f271,f267,f1206,f1202]) ).
fof(f267,plain,
( spl16_3
<=> sK3 = sF15 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
fof(f1200,plain,
( ~ segmentP(sK2,sF13)
| ~ neq(sF13,nil)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f1197,f276]) ).
fof(f1197,plain,
( ~ segmentP(sK2,sF13)
| ~ neq(sF13,nil)
| ~ ssList(sF13)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(resolution,[],[f1196,f236]) ).
fof(f236,plain,
! [X8] :
( ~ segmentP(sK3,X8)
| ~ segmentP(sK2,X8)
| ~ neq(X8,nil)
| ~ ssList(X8) ),
inference(definition_unfolding,[],[f180,f179,f178]) ).
fof(f178,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f153]) ).
fof(f153,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 != sK0
| nil != sK1 )
& ( nil != sK3
| nil = sK2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(sK1,X8)
| ~ neq(X8,nil)
| ~ ssList(X8) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f100,f152,f151,f150,f149]) ).
fof(f149,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 != X0
| nil != X1 )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ~ segmentP(X0,X8)
| ~ segmentP(X1,X8)
| ~ neq(X8,nil)
| ~ ssList(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 != sK0
| nil != X1 )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(X1,X8)
| ~ neq(X8,nil)
| ~ ssList(X8) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f150,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 != sK0
| nil != X1 )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(X1,X8)
| ~ neq(X8,nil)
| ~ ssList(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 != sK0
| nil != sK1 )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(sK1,X8)
| ~ neq(X8,nil)
| ~ ssList(X8) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f151,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 != sK0
| nil != sK1 )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(sK1,X8)
| ~ neq(X8,nil)
| ~ ssList(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 != sK0
| nil != sK1 )
& ( nil != X3
| nil = sK2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(sK1,X8)
| ~ neq(X8,nil)
| ~ ssList(X8) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f152,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 != sK0
| nil != sK1 )
& ( nil != X3
| nil = sK2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(sK1,X8)
| ~ neq(X8,nil)
| ~ ssList(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 != sK0
| nil != sK1 )
& ( nil != sK3
| nil = sK2 )
& ! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(sK1,X8)
| ~ neq(X8,nil)
| ~ ssList(X8) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
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 != X0
| nil != X1 )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ~ segmentP(X0,X8)
| ~ segmentP(X1,X8)
| ~ neq(X8,nil)
| ~ ssList(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 != X0
| nil != X1 )
& ( nil != X3
| nil = X2 )
& ! [X8] :
( ~ segmentP(X0,X8)
| ~ segmentP(X1,X8)
| ~ neq(X8,nil)
| ~ ssList(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 = X0
& nil = X1 )
| ( nil = X3
& nil != X2 )
| ? [X8] :
( segmentP(X0,X8)
& segmentP(X1,X8)
& neq(X8,nil)
& ssList(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 = X0
& nil = X1 )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(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 = X0
& nil = X1 )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',co1) ).
fof(f179,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f153]) ).
fof(f180,plain,
! [X8] :
( ~ segmentP(sK0,X8)
| ~ segmentP(sK1,X8)
| ~ neq(X8,nil)
| ~ ssList(X8) ),
inference(cnf_transformation,[],[f153]) ).
fof(f1196,plain,
( segmentP(sK3,sF13)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f1195,f211]) ).
fof(f1195,plain,
( segmentP(sK3,sF13)
| ~ ssList(nil)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f1188,f177]) ).
fof(f177,plain,
ssList(sK3),
inference(cnf_transformation,[],[f153]) ).
fof(f1188,plain,
( segmentP(sK3,sF13)
| ~ ssList(sK3)
| ~ ssList(nil)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(superposition,[],[f1010,f1119]) ).
fof(f1119,plain,
( sK3 = app(sK3,nil)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_demodulation,[],[f1118,f269]) ).
fof(f269,plain,
( sK3 = sF15
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f1118,plain,
( sF15 = app(sK3,nil)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_demodulation,[],[f1117,f252]) ).
fof(f252,plain,
app(sF14,sF13) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f1117,plain,
( app(sF14,sF13) = app(sK3,nil)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f1116,f276]) ).
fof(f1116,plain,
( app(sF14,sF13) = app(sK3,nil)
| ~ ssList(sF13)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f1102,f211]) ).
fof(f1102,plain,
( app(sF14,sF13) = app(sK3,nil)
| ~ ssList(nil)
| ~ ssList(sF13)
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(superposition,[],[f733,f185]) ).
fof(f185,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax84) ).
fof(f733,plain,
( ! [X0] :
( app(sF14,app(sF13,X0)) = app(sK3,X0)
| ~ ssList(X0) )
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_demodulation,[],[f732,f269]) ).
fof(f732,plain,
( ! [X0] :
( app(sF14,app(sF13,X0)) = app(sF15,X0)
| ~ ssList(X0) )
| ~ spl16_4
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f731,f272]) ).
fof(f731,plain,
( ! [X0] :
( app(sF14,app(sF13,X0)) = app(sF15,X0)
| ~ ssList(X0)
| ~ ssList(sF14) )
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f701,f276]) ).
fof(f701,plain,
! [X0] :
( app(sF14,app(sF13,X0)) = app(sF15,X0)
| ~ ssList(X0)
| ~ ssList(sF13)
| ~ ssList(sF14) ),
inference(superposition,[],[f189,f252]) ).
fof(f189,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax82) ).
fof(f1010,plain,
( ! [X0] :
( segmentP(app(sK3,X0),sF13)
| ~ ssList(app(sK3,X0))
| ~ ssList(X0) )
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_demodulation,[],[f1009,f269]) ).
fof(f1009,plain,
( ! [X0] :
( segmentP(app(sK3,X0),sF13)
| ~ ssList(X0)
| ~ ssList(app(sF15,X0)) )
| ~ spl16_3
| ~ spl16_4
| ~ spl16_5 ),
inference(forward_demodulation,[],[f1008,f269]) ).
fof(f1008,plain,
( ! [X0] :
( segmentP(app(sF15,X0),sF13)
| ~ ssList(X0)
| ~ ssList(app(sF15,X0)) )
| ~ spl16_4
| ~ spl16_5 ),
inference(subsumption_resolution,[],[f1007,f276]) ).
fof(f1007,plain,
( ! [X0] :
( segmentP(app(sF15,X0),sF13)
| ~ ssList(X0)
| ~ ssList(sF13)
| ~ ssList(app(sF15,X0)) )
| ~ spl16_4 ),
inference(subsumption_resolution,[],[f982,f272]) ).
fof(f982,plain,
! [X0] :
( segmentP(app(sF15,X0),sF13)
| ~ ssList(X0)
| ~ ssList(sF14)
| ~ ssList(sF13)
| ~ ssList(app(sF15,X0)) ),
inference(superposition,[],[f248,f252]) ).
fof(f425,plain,
( spl16_10
| spl16_12 ),
inference(avatar_split_clause,[],[f424,f414,f297]) ).
fof(f424,plain,
( sK2 = cons(sF12,sF14)
| nil = sK2 ),
inference(forward_demodulation,[],[f423,f249]) ).
fof(f249,plain,
hd(sK2) = sF12,
introduced(function_definition,[new_symbols(definition,[sF12])]) ).
fof(f423,plain,
( sK2 = cons(hd(sK2),sF14)
| nil = sK2 ),
inference(subsumption_resolution,[],[f405,f176]) ).
fof(f176,plain,
ssList(sK2),
inference(cnf_transformation,[],[f153]) ).
fof(f405,plain,
( sK2 = cons(hd(sK2),sF14)
| nil = sK2
| ~ ssList(sK2) ),
inference(superposition,[],[f213,f251]) ).
fof(f251,plain,
tl(sK2) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f213,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/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax78) ).
fof(f359,plain,
( spl16_10
| spl16_7 ),
inference(avatar_split_clause,[],[f358,f283,f297]) ).
fof(f358,plain,
( nil = sK2
| spl16_7 ),
inference(subsumption_resolution,[],[f357,f211]) ).
fof(f357,plain,
( nil = sK2
| ~ ssList(nil)
| spl16_7 ),
inference(subsumption_resolution,[],[f356,f176]) ).
fof(f356,plain,
( nil = sK2
| ~ ssList(sK2)
| ~ ssList(nil)
| spl16_7 ),
inference(resolution,[],[f285,f208]) ).
fof(f355,plain,
( spl16_10
| spl16_4 ),
inference(avatar_split_clause,[],[f354,f271,f297]) ).
fof(f354,plain,
( ssList(sF14)
| nil = sK2 ),
inference(subsumption_resolution,[],[f321,f176]) ).
fof(f321,plain,
( ssList(sF14)
| nil = sK2
| ~ ssList(sK2) ),
inference(superposition,[],[f223,f251]) ).
fof(f223,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f137]) ).
fof(f137,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/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax24) ).
fof(f347,plain,
( spl16_1
| spl16_9 ),
inference(avatar_contradiction_clause,[],[f346]) ).
fof(f346,plain,
( $false
| spl16_1
| spl16_9 ),
inference(subsumption_resolution,[],[f345,f177]) ).
fof(f345,plain,
( ~ ssList(sK3)
| spl16_1
| spl16_9 ),
inference(subsumption_resolution,[],[f344,f211]) ).
fof(f344,plain,
( ~ ssList(nil)
| ~ ssList(sK3)
| spl16_1
| spl16_9 ),
inference(subsumption_resolution,[],[f339,f295]) ).
fof(f295,plain,
( nil != sK3
| spl16_9 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl16_9
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl16_9])]) ).
fof(f339,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl16_1 ),
inference(resolution,[],[f208,f261]) ).
fof(f261,plain,
( ~ neq(sK3,nil)
| spl16_1 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f259,plain,
( spl16_1
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_1])]) ).
fof(f320,plain,
( spl16_10
| spl16_6 ),
inference(avatar_split_clause,[],[f319,f279,f297]) ).
fof(f319,plain,
( ssItem(sF12)
| nil = sK2 ),
inference(subsumption_resolution,[],[f315,f176]) ).
fof(f315,plain,
( ssItem(sF12)
| nil = sK2
| ~ ssList(sK2) ),
inference(superposition,[],[f218,f249]) ).
fof(f218,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/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax22) ).
fof(f314,plain,
( ~ spl16_4
| ~ spl16_5
| spl16_2 ),
inference(avatar_split_clause,[],[f309,f263,f275,f271]) ).
fof(f263,plain,
( spl16_2
<=> ssList(sF15) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_2])]) ).
fof(f309,plain,
( ssList(sF15)
| ~ ssList(sF13)
| ~ ssList(sF14) ),
inference(superposition,[],[f206,f252]) ).
fof(f308,plain,
( ~ spl16_6
| spl16_5 ),
inference(avatar_split_clause,[],[f307,f275,f279]) ).
fof(f307,plain,
( ssList(sF13)
| ~ ssItem(sF12) ),
inference(subsumption_resolution,[],[f306,f211]) ).
fof(f306,plain,
( ssList(sF13)
| ~ ssItem(sF12)
| ~ ssList(nil) ),
inference(superposition,[],[f205,f250]) ).
fof(f205,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/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618',ax16) ).
fof(f301,plain,
( spl16_10
| ~ spl16_9 ),
inference(avatar_split_clause,[],[f181,f293,f297]) ).
fof(f181,plain,
( nil != sK3
| nil = sK2 ),
inference(cnf_transformation,[],[f153]) ).
fof(f300,plain,
( ~ spl16_9
| ~ spl16_10 ),
inference(avatar_split_clause,[],[f235,f297,f293]) ).
fof(f235,plain,
( nil != sK2
| nil != sK3 ),
inference(definition_unfolding,[],[f182,f179,f178]) ).
fof(f182,plain,
( nil != sK0
| nil != sK1 ),
inference(cnf_transformation,[],[f153]) ).
fof(f291,plain,
( ~ spl16_1
| spl16_8 ),
inference(avatar_split_clause,[],[f183,f288,f259]) ).
fof(f183,plain,
( neq(sK2,nil)
| ~ neq(sK3,nil) ),
inference(cnf_transformation,[],[f153]) ).
fof(f286,plain,
( ~ spl16_1
| ~ spl16_2
| spl16_3
| ~ spl16_4
| ~ spl16_5
| ~ spl16_6
| ~ spl16_7 ),
inference(avatar_split_clause,[],[f257,f283,f279,f275,f271,f267,f263,f259]) ).
fof(f257,plain,
( ~ neq(nil,sK2)
| ~ ssItem(sF12)
| ~ ssList(sF13)
| ~ ssList(sF14)
| sK3 = sF15
| ~ ssList(sF15)
| ~ neq(sK3,nil) ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f253,plain,
( ~ neq(nil,sK2)
| ~ neq(nil,sK2)
| ~ ssItem(sF12)
| ~ ssList(sF13)
| ~ ssList(sF14)
| sK3 = sF15
| ~ ssList(sF15)
| ~ neq(sK3,nil) ),
inference(definition_folding,[],[f242,f252,f250,f249,f251,f252,f250,f249,f251,f251,f250,f249,f249]) ).
fof(f242,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,[],[f241]) ).
fof(f241,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,[],[f240]) ).
fof(f240,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,[],[f239]) ).
fof(f239,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,[],[f184]) ).
fof(f184,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,[],[f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.10 % Problem : SWC073+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.30 % Computer : n025.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Apr 30 18:33:11 EDT 2024
% 0.11/0.30 % CPUTime :
% 0.11/0.30 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.dRru4ouq2X/Vampire---4.8_26618
% 0.15/0.57 % (26887)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 (2997ds/56Mi)
% 0.15/0.57 % (26880)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 (2997ds/34Mi)
% 0.15/0.57 % (26882)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.15/0.57 % (26885)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.15/0.57 % (26884)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 (2997ds/34Mi)
% 0.15/0.57 % (26883)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.15/0.57 % (26886)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 (2997ds/83Mi)
% 0.15/0.59 % (26887)Instruction limit reached!
% 0.15/0.59 % (26887)------------------------------
% 0.15/0.59 % (26887)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.59 % (26887)Termination reason: Unknown
% 0.15/0.59 % (26887)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (26887)Memory used [KB]: 1648
% 0.15/0.59 % (26887)Time elapsed: 0.016 s
% 0.15/0.59 % (26887)Instructions burned: 56 (million)
% 0.15/0.59 % (26887)------------------------------
% 0.15/0.59 % (26887)------------------------------
% 0.15/0.59 % (26881)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 (2997ds/51Mi)
% 0.15/0.59 % (26889)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 (2997ds/55Mi)
% 0.15/0.59 % (26884)Instruction limit reached!
% 0.15/0.59 % (26884)------------------------------
% 0.15/0.59 % (26884)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.59 % (26884)Termination reason: Unknown
% 0.15/0.59 % (26884)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (26884)Memory used [KB]: 1974
% 0.15/0.59 % (26884)Time elapsed: 0.020 s
% 0.15/0.59 % (26884)Instructions burned: 34 (million)
% 0.15/0.59 % (26884)------------------------------
% 0.15/0.59 % (26884)------------------------------
% 0.15/0.59 % (26880)Instruction limit reached!
% 0.15/0.59 % (26880)------------------------------
% 0.15/0.59 % (26880)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.59 % (26880)Termination reason: Unknown
% 0.15/0.59 % (26880)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (26880)Memory used [KB]: 1591
% 0.15/0.59 % (26880)Time elapsed: 0.021 s
% 0.15/0.59 % (26880)Instructions burned: 34 (million)
% 0.15/0.59 % (26880)------------------------------
% 0.15/0.59 % (26880)------------------------------
% 0.15/0.59 % (26883)Instruction limit reached!
% 0.15/0.59 % (26883)------------------------------
% 0.15/0.59 % (26883)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.59 % (26883)Termination reason: Unknown
% 0.15/0.59 % (26883)Termination phase: Saturation
% 0.15/0.59
% 0.15/0.59 % (26883)Memory used [KB]: 1736
% 0.15/0.59 % (26883)Time elapsed: 0.021 s
% 0.15/0.59 % (26883)Instructions burned: 33 (million)
% 0.15/0.59 % (26883)------------------------------
% 0.15/0.59 % (26883)------------------------------
% 0.48/0.59 % (26892)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 (2997ds/50Mi)
% 0.48/0.60 % (26893)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 (2997ds/208Mi)
% 0.48/0.60 % (26885)Instruction limit reached!
% 0.48/0.60 % (26885)------------------------------
% 0.48/0.60 % (26885)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.60 % (26885)Termination reason: Unknown
% 0.48/0.60 % (26885)Termination phase: Saturation
% 0.48/0.60
% 0.48/0.60 % (26885)Memory used [KB]: 1637
% 0.48/0.60 % (26885)Time elapsed: 0.027 s
% 0.48/0.60 % (26885)Instructions burned: 45 (million)
% 0.48/0.60 % (26885)------------------------------
% 0.48/0.60 % (26885)------------------------------
% 0.48/0.60 % (26895)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 (2997ds/52Mi)
% 0.48/0.60 % (26897)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 (2997ds/518Mi)
% 0.48/0.60 % (26889)Instruction limit reached!
% 0.48/0.60 % (26889)------------------------------
% 0.48/0.60 % (26889)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.48/0.60 % (26889)Termination reason: Unknown
% 0.48/0.60 % (26889)Termination phase: Saturation
% 0.48/0.60
% 0.48/0.60 % (26889)Memory used [KB]: 2186
% 0.48/0.60 % (26889)Time elapsed: 0.017 s
% 0.48/0.60 % (26889)Instructions burned: 56 (million)
% 0.48/0.60 % (26889)------------------------------
% 0.48/0.60 % (26889)------------------------------
% 0.48/0.61 % (26901)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 (2997ds/42Mi)
% 0.62/0.61 % (26886)Instruction limit reached!
% 0.62/0.61 % (26886)------------------------------
% 0.62/0.61 % (26886)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.61 % (26886)Termination reason: Unknown
% 0.62/0.61 % (26886)Termination phase: Saturation
% 0.62/0.61
% 0.62/0.61 % (26886)Memory used [KB]: 2140
% 0.62/0.61 % (26886)Time elapsed: 0.041 s
% 0.62/0.61 % (26886)Instructions burned: 84 (million)
% 0.62/0.61 % (26886)------------------------------
% 0.62/0.61 % (26886)------------------------------
% 0.62/0.62 % (26903)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 (2997ds/243Mi)
% 0.62/0.62 % (26881)Instruction limit reached!
% 0.62/0.62 % (26881)------------------------------
% 0.62/0.62 % (26881)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.62 % (26881)Termination reason: Unknown
% 0.62/0.62 % (26881)Termination phase: Saturation
% 0.62/0.62
% 0.62/0.62 % (26881)Memory used [KB]: 1921
% 0.62/0.62 % (26881)Time elapsed: 0.034 s
% 0.62/0.62 % (26881)Instructions burned: 51 (million)
% 0.62/0.62 % (26881)------------------------------
% 0.62/0.62 % (26881)------------------------------
% 0.62/0.62 % (26901)Instruction limit reached!
% 0.62/0.62 % (26901)------------------------------
% 0.62/0.62 % (26901)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.62 % (26901)Termination reason: Unknown
% 0.62/0.62 % (26901)Termination phase: Saturation
% 0.62/0.62
% 0.62/0.62 % (26901)Memory used [KB]: 2112
% 0.62/0.62 % (26901)Time elapsed: 0.035 s
% 0.62/0.62 % (26901)Instructions burned: 44 (million)
% 0.62/0.62 % (26901)------------------------------
% 0.62/0.62 % (26901)------------------------------
% 0.62/0.62 % (26882)Instruction limit reached!
% 0.62/0.62 % (26882)------------------------------
% 0.62/0.62 % (26882)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.62 % (26882)Termination reason: Unknown
% 0.62/0.62 % (26892)Instruction limit reached!
% 0.62/0.62 % (26892)------------------------------
% 0.62/0.62 % (26892)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.62 % (26892)Termination reason: Unknown
% 0.62/0.62 % (26892)Termination phase: Saturation
% 0.62/0.62
% 0.62/0.62 % (26892)Memory used [KB]: 1857
% 0.62/0.62 % (26892)Time elapsed: 0.027 s
% 0.62/0.62 % (26892)Instructions burned: 51 (million)
% 0.62/0.62 % (26892)------------------------------
% 0.62/0.62 % (26892)------------------------------
% 0.62/0.62 % (26882)Termination phase: Saturation
% 0.62/0.62
% 0.62/0.62 % (26882)Memory used [KB]: 1985
% 0.62/0.62 % (26882)Time elapsed: 0.050 s
% 0.62/0.62 % (26882)Instructions burned: 79 (million)
% 0.62/0.62 % (26882)------------------------------
% 0.62/0.62 % (26882)------------------------------
% 0.62/0.62 % (26904)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 (2997ds/117Mi)
% 0.62/0.62 % (26906)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 (2997ds/143Mi)
% 0.62/0.62 % (26908)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 (2997ds/93Mi)
% 0.62/0.62 % (26909)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 (2997ds/62Mi)
% 0.62/0.63 % (26895)Instruction limit reached!
% 0.62/0.63 % (26895)------------------------------
% 0.62/0.63 % (26895)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.63 % (26895)Termination reason: Unknown
% 0.62/0.63 % (26895)Termination phase: Saturation
% 0.62/0.63
% 0.62/0.63 % (26895)Memory used [KB]: 1919
% 0.62/0.63 % (26895)Time elapsed: 0.034 s
% 0.62/0.63 % (26895)Instructions burned: 52 (million)
% 0.62/0.63 % (26895)------------------------------
% 0.62/0.63 % (26895)------------------------------
% 0.62/0.63 % (26893)First to succeed.
% 0.75/0.64 % (26911)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 (2996ds/32Mi)
% 0.75/0.64 % (26893)Refutation found. Thanks to Tanya!
% 0.75/0.64 % SZS status Theorem for Vampire---4
% 0.75/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.75/0.64 % (26893)------------------------------
% 0.75/0.64 % (26893)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.75/0.64 % (26893)Termination reason: Refutation
% 0.75/0.64
% 0.75/0.64 % (26893)Memory used [KB]: 1547
% 0.75/0.64 % (26893)Time elapsed: 0.041 s
% 0.75/0.64 % (26893)Instructions burned: 66 (million)
% 0.75/0.64 % (26893)------------------------------
% 0.75/0.64 % (26893)------------------------------
% 0.75/0.64 % (26770)Success in time 0.31 s
% 0.75/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------