TSTP Solution File: SWC061-1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC061-1 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:48:17 EDT 2024
% Result : Unsatisfiable 0.81s 0.81s
% Output : Refutation 0.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 40
% Syntax : Number of formulae : 144 ( 13 unt; 0 def)
% Number of atoms : 562 ( 77 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 822 ( 404 ~; 404 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 15 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1135,plain,
$false,
inference(avatar_sat_refutation,[],[f229,f238,f243,f248,f253,f254,f258,f259,f260,f270,f286,f289,f958,f1079,f1106,f1134]) ).
fof(f1134,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| spl3_13
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f1133]) ).
fof(f1133,plain,
( $false
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| spl3_13
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f1123,f285]) ).
fof(f285,plain,
( ~ segmentP(sk3,sk4)
| spl3_13 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f283,plain,
( spl3_13
<=> segmentP(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f1123,plain,
( segmentP(sk3,sk4)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_16 ),
inference(superposition,[],[f931,f504]) ).
fof(f504,plain,
( sk4 = sF0
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f503,plain,
( spl3_16
<=> sk4 = sF0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f931,plain,
( segmentP(sk3,sF0)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f930,f263]) ).
fof(f263,plain,
( ssList(nil)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl3_9
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f930,plain,
( segmentP(sk3,sF0)
| ~ ssList(nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f923,f201]) ).
fof(f201,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_1) ).
fof(f923,plain,
( segmentP(sk3,sF0)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f798,f673]) ).
fof(f673,plain,
( sk3 = app(sk3,nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f672,f252]) ).
fof(f252,plain,
( sk3 = sF2
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f250,plain,
( spl3_7
<=> sk3 = sF2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f672,plain,
( sF2 = app(sk3,nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f671,f216]) ).
fof(f216,plain,
app(sk6,sF0) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f671,plain,
( app(sk6,sF0) = app(sk3,nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f670,f309]) ).
fof(f309,plain,
( ssList(sF0)
| ~ spl3_3
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f308,f233]) ).
fof(f233,plain,
( ssItem(sk5)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl3_3
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f308,plain,
( ssList(sF0)
| ~ ssItem(sk5)
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f307,f263]) ).
fof(f307,plain,
( ssList(sF0)
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[],[f86,f213]) ).
fof(f213,plain,
cons(sk5,nil) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause86) ).
fof(f670,plain,
( app(sk6,sF0) = app(sk3,nil)
| ~ ssList(sF0)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f657,f263]) ).
fof(f657,plain,
( app(sk6,sF0) = app(sk3,nil)
| ~ ssList(nil)
| ~ ssList(sF0)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f542,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause73) ).
fof(f542,plain,
( ! [X0] :
( app(sk6,app(sF0,X0)) = app(sk3,X0)
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f541,f252]) ).
fof(f541,plain,
( ! [X0] :
( app(sk6,app(sF0,X0)) = app(sF2,X0)
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f540,f309]) ).
fof(f540,plain,
( ! [X0] :
( app(sk6,app(sF0,X0)) = app(sF2,X0)
| ~ ssList(sF0)
| ~ ssList(X0) )
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f512,f242]) ).
fof(f242,plain,
( ssList(sk6)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f240,plain,
( spl3_5
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f512,plain,
! [X0] :
( app(sk6,app(sF0,X0)) = app(sF2,X0)
| ~ ssList(sk6)
| ~ ssList(sF0)
| ~ ssList(X0) ),
inference(superposition,[],[f149,f216]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause149) ).
fof(f798,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sF0)
| ~ ssList(app(sk3,X0))
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f797,f252]) ).
fof(f797,plain,
( ! [X0] :
( segmentP(app(sk3,X0),sF0)
| ~ ssList(app(sF2,X0))
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f796,f252]) ).
fof(f796,plain,
( ! [X0] :
( segmentP(app(sF2,X0),sF0)
| ~ ssList(app(sF2,X0))
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f795,f242]) ).
fof(f795,plain,
( ! [X0] :
( segmentP(app(sF2,X0),sF0)
| ~ ssList(app(sF2,X0))
| ~ ssList(sk6)
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f773,f309]) ).
fof(f773,plain,
! [X0] :
( segmentP(app(sF2,X0),sF0)
| ~ ssList(app(sF2,X0))
| ~ ssList(sF0)
| ~ ssList(sk6)
| ~ ssList(X0) ),
inference(superposition,[],[f211,f216]) ).
fof(f211,plain,
! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( segmentP(X3,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause173) ).
fof(f1106,plain,
( spl3_16
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f1105,f339,f262,f250,f245,f240,f231,f503]) ).
fof(f245,plain,
( spl3_6
<=> sk4 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f339,plain,
( spl3_14
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f1105,plain,
( sk4 = sF0
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f1104,f673]) ).
fof(f1104,plain,
( sk3 != app(sk3,nil)
| sk4 = sF0
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9
| ~ spl3_14 ),
inference(forward_demodulation,[],[f741,f341]) ).
fof(f341,plain,
( nil = sk6
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f741,plain,
( sk3 != app(sk3,sk6)
| sk4 = sF0
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f731,f202]) ).
fof(f202,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_5) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_2) ).
fof(f731,plain,
( sk3 != app(sk3,sk6)
| ~ ssList(sk4)
| sk4 = sF0
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f437,f669]) ).
fof(f669,plain,
( app(sk3,sk6) = app(sk6,sk4)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f668,f247]) ).
fof(f247,plain,
( sk4 = sF1
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f668,plain,
( app(sk3,sk6) = app(sk6,sF1)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f655,f242]) ).
fof(f655,plain,
( app(sk3,sk6) = app(sk6,sF1)
| ~ ssList(sk6)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f542,f214]) ).
fof(f214,plain,
app(sF0,sk6) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f437,plain,
( ! [X0] :
( sk3 != app(sk6,X0)
| ~ ssList(X0)
| sF0 = X0 )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f436,f252]) ).
fof(f436,plain,
( ! [X0] :
( sF2 != app(sk6,X0)
| ~ ssList(X0)
| sF0 = X0 )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f435,f309]) ).
fof(f435,plain,
( ! [X0] :
( sF2 != app(sk6,X0)
| ~ ssList(X0)
| ~ ssList(sF0)
| sF0 = X0 )
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f411,f242]) ).
fof(f411,plain,
! [X0] :
( sF2 != app(sk6,X0)
| ~ ssList(X0)
| ~ ssList(sk6)
| ~ ssList(sF0)
| sF0 = X0 ),
inference(superposition,[],[f150,f216]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause150) ).
fof(f1079,plain,
( spl3_22
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f1065,f262,f250,f240,f231,f955]) ).
fof(f955,plain,
( spl3_22
<=> segmentP(sk3,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f1065,plain,
( segmentP(sk3,sk6)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f1064,f252]) ).
fof(f1064,plain,
( segmentP(sF2,sk6)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f1063,f309]) ).
fof(f1063,plain,
( segmentP(sF2,sk6)
| ~ ssList(sF0)
| ~ spl3_5
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f1041,f242]) ).
fof(f1041,plain,
( segmentP(sF2,sk6)
| ~ ssList(sk6)
| ~ ssList(sF0)
| ~ spl3_9 ),
inference(superposition,[],[f792,f216]) ).
fof(f792,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f791,f85]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause85) ).
fof(f791,plain,
( ! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f786,f263]) ).
fof(f786,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f768]) ).
fof(f768,plain,
! [X0,X1] :
( segmentP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[],[f211,f74]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause74) ).
fof(f958,plain,
( spl3_14
| ~ spl3_22
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f953,f262,f256,f245,f240,f231,f955,f339]) ).
fof(f256,plain,
( spl3_8
<=> ! [X6] :
( ~ segmentP(sk3,X6)
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ segmentP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f953,plain,
( ~ segmentP(sk3,sk6)
| nil = sk6
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f950,f242]) ).
fof(f950,plain,
( ~ ssList(sk6)
| ~ segmentP(sk3,sk6)
| nil = sk6
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_8
| ~ spl3_9 ),
inference(resolution,[],[f949,f320]) ).
fof(f320,plain,
( ! [X0] :
( ~ segmentP(sk4,X0)
| ~ ssList(X0)
| ~ segmentP(sk3,X0)
| nil = X0 )
| ~ spl3_8
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f319,f263]) ).
fof(f319,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0) )
| ~ spl3_8 ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f314,plain,
( ! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ segmentP(sk3,X0)
| ~ segmentP(sk4,X0) )
| ~ spl3_8 ),
inference(resolution,[],[f100,f257]) ).
fof(f257,plain,
( ! [X6] :
( ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause100) ).
fof(f949,plain,
( segmentP(sk4,sk6)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f948,f263]) ).
fof(f948,plain,
( segmentP(sk4,sk6)
| ~ ssList(nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f941,f202]) ).
fof(f941,plain,
( segmentP(sk4,sk6)
| ~ ssList(sk4)
| ~ ssList(nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(superposition,[],[f805,f834]) ).
fof(f834,plain,
( sk4 = app(sk4,nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f833,f247]) ).
fof(f833,plain,
( sF1 = app(sk4,nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f832,f214]) ).
fof(f832,plain,
( app(sF0,sk6) = app(sk4,nil)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f831,f242]) ).
fof(f831,plain,
( app(sF0,sk6) = app(sk4,nil)
| ~ ssList(sk6)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f813,f263]) ).
fof(f813,plain,
( app(sF0,sk6) = app(sk4,nil)
| ~ ssList(nil)
| ~ ssList(sk6)
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(superposition,[],[f545,f73]) ).
fof(f545,plain,
( ! [X0] :
( app(sF0,app(sk6,X0)) = app(sk4,X0)
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f544,f247]) ).
fof(f544,plain,
( ! [X0] :
( app(sF0,app(sk6,X0)) = app(sF1,X0)
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f543,f242]) ).
fof(f543,plain,
( ! [X0] :
( app(sF0,app(sk6,X0)) = app(sF1,X0)
| ~ ssList(sk6)
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f513,f309]) ).
fof(f513,plain,
! [X0] :
( app(sF0,app(sk6,X0)) = app(sF1,X0)
| ~ ssList(sF0)
| ~ ssList(sk6)
| ~ ssList(X0) ),
inference(superposition,[],[f149,f214]) ).
fof(f805,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk6)
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f804,f247]) ).
fof(f804,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk6)
| ~ ssList(app(sF1,X0))
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| ~ spl3_9 ),
inference(forward_demodulation,[],[f803,f247]) ).
fof(f803,plain,
( ! [X0] :
( segmentP(app(sF1,X0),sk6)
| ~ ssList(app(sF1,X0))
| ~ ssList(X0) )
| ~ spl3_3
| ~ spl3_5
| ~ spl3_9 ),
inference(subsumption_resolution,[],[f802,f309]) ).
fof(f802,plain,
( ! [X0] :
( segmentP(app(sF1,X0),sk6)
| ~ ssList(app(sF1,X0))
| ~ ssList(sF0)
| ~ ssList(X0) )
| ~ spl3_5 ),
inference(subsumption_resolution,[],[f776,f242]) ).
fof(f776,plain,
! [X0] :
( segmentP(app(sF1,X0),sk6)
| ~ ssList(app(sF1,X0))
| ~ ssList(sk6)
| ~ ssList(sF0)
| ~ ssList(X0) ),
inference(superposition,[],[f211,f214]) ).
fof(f289,plain,
spl3_12,
inference(avatar_contradiction_clause,[],[f288]) ).
fof(f288,plain,
( $false
| spl3_12 ),
inference(subsumption_resolution,[],[f287,f202]) ).
fof(f287,plain,
( ~ ssList(sk4)
| spl3_12 ),
inference(resolution,[],[f57,f281]) ).
fof(f281,plain,
( ~ segmentP(sk4,sk4)
| spl3_12 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl3_12
<=> segmentP(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause57) ).
fof(f286,plain,
( ~ spl3_12
| ~ spl3_13
| ~ spl3_4
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f277,f256,f235,f283,f279]) ).
fof(f235,plain,
( spl3_4
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f277,plain,
( ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4)
| ~ spl3_4
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f276,f202]) ).
fof(f276,plain,
( ~ ssList(sk4)
| ~ segmentP(sk3,sk4)
| ~ segmentP(sk4,sk4)
| ~ spl3_4
| ~ spl3_8 ),
inference(resolution,[],[f257,f236]) ).
fof(f236,plain,
( neq(sk4,nil)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f270,plain,
spl3_9,
inference(avatar_split_clause,[],[f8,f262]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',clause8) ).
fof(f260,plain,
( ~ spl3_1
| spl3_8 ),
inference(avatar_split_clause,[],[f206,f256,f222]) ).
fof(f222,plain,
( spl3_1
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f206,plain,
! [X6] :
( ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil != sk3 ),
inference(definition_unfolding,[],[f200,f191,f190,f191]) ).
fof(f200,axiom,
! [X6] :
( ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil != sk1 ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_15) ).
fof(f259,plain,
( ~ spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f205,f235,f222]) ).
fof(f205,plain,
( neq(sk4,nil)
| nil != sk3 ),
inference(definition_unfolding,[],[f199,f190,f191]) ).
fof(f199,axiom,
( neq(sk2,nil)
| nil != sk1 ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_14) ).
fof(f258,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f204,f256,f226]) ).
fof(f226,plain,
( spl3_2
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f204,plain,
! [X6] :
( ~ segmentP(sk3,X6)
| ~ segmentP(sk4,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil = sk4 ),
inference(definition_unfolding,[],[f198,f191,f190,f190]) ).
fof(f198,axiom,
! [X6] :
( ~ segmentP(sk1,X6)
| ~ segmentP(sk2,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| nil = sk2 ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_13) ).
fof(f254,plain,
( spl3_2
| spl3_4 ),
inference(avatar_split_clause,[],[f203,f235,f226]) ).
fof(f203,plain,
( neq(sk4,nil)
| nil = sk4 ),
inference(definition_unfolding,[],[f197,f190,f190]) ).
fof(f197,axiom,
( neq(sk2,nil)
| nil = sk2 ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_12) ).
fof(f253,plain,
( spl3_7
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f217,f235,f250]) ).
fof(f217,plain,
( ~ neq(sk4,nil)
| sk3 = sF2 ),
inference(definition_folding,[],[f196,f216,f213]) ).
fof(f196,axiom,
( ~ neq(sk4,nil)
| sk3 = app(sk6,cons(sk5,nil)) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_11) ).
fof(f248,plain,
( spl3_6
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f215,f235,f245]) ).
fof(f215,plain,
( ~ neq(sk4,nil)
| sk4 = sF1 ),
inference(definition_folding,[],[f195,f214,f213]) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| sk4 = app(cons(sk5,nil),sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_10) ).
fof(f243,plain,
( spl3_5
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f194,f235,f240]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_9) ).
fof(f238,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f193,f235,f231]) ).
fof(f193,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_8) ).
fof(f229,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f192,f226,f222]) ).
fof(f192,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox2/tmp/tmp.rVZ6sjR9Xw/Vampire---4.8_4472',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC061-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15 % 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
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 20:31:38 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.36 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.rVZ6sjR9Xw/Vampire---4.8_4472
% 0.60/0.77 % (4632)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)
% 0.60/0.77 % (4634)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.60/0.77 % (4635)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)
% 0.60/0.77 % (4633)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)
% 0.60/0.77 % (4637)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)
% 0.60/0.77 % (4636)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)
% 0.60/0.77 % (4639)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)
% 0.60/0.77 % (4638)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)
% 0.60/0.78 % (4632)Instruction limit reached!
% 0.60/0.78 % (4632)------------------------------
% 0.60/0.78 % (4632)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78 % (4632)Termination reason: Unknown
% 0.60/0.78 % (4632)Termination phase: Saturation
% 0.60/0.78
% 0.60/0.78 % (4632)Memory used [KB]: 1529
% 0.60/0.78 % (4632)Time elapsed: 0.014 s
% 0.60/0.78 % (4632)Instructions burned: 36 (million)
% 0.60/0.78 % (4632)------------------------------
% 0.60/0.78 % (4632)------------------------------
% 0.60/0.79 % (4636)Instruction limit reached!
% 0.60/0.79 % (4636)------------------------------
% 0.60/0.79 % (4636)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (4636)Termination reason: Unknown
% 0.60/0.79 % (4636)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (4636)Memory used [KB]: 1612
% 0.60/0.79 % (4636)Time elapsed: 0.017 s
% 0.60/0.79 % (4636)Instructions burned: 34 (million)
% 0.60/0.79 % (4636)------------------------------
% 0.60/0.79 % (4636)------------------------------
% 0.60/0.79 % (4640)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)
% 0.60/0.79 % (4635)Instruction limit reached!
% 0.60/0.79 % (4635)------------------------------
% 0.60/0.79 % (4635)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (4635)Termination reason: Unknown
% 0.60/0.79 % (4635)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (4635)Memory used [KB]: 1775
% 0.60/0.79 % (4635)Time elapsed: 0.018 s
% 0.60/0.79 % (4635)Instructions burned: 34 (million)
% 0.60/0.79 % (4635)------------------------------
% 0.60/0.79 % (4635)------------------------------
% 0.60/0.79 % (4642)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)
% 0.60/0.79 % (4641)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)
% 0.60/0.79 % (4637)Instruction limit reached!
% 0.60/0.79 % (4637)------------------------------
% 0.60/0.79 % (4637)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (4637)Termination reason: Unknown
% 0.60/0.79 % (4637)Termination phase: Saturation
% 0.60/0.79
% 0.60/0.79 % (4637)Memory used [KB]: 1606
% 0.60/0.79 % (4637)Time elapsed: 0.026 s
% 0.60/0.79 % (4637)Instructions burned: 45 (million)
% 0.60/0.79 % (4637)------------------------------
% 0.60/0.79 % (4637)------------------------------
% 0.60/0.80 % (4639)Instruction limit reached!
% 0.60/0.80 % (4639)------------------------------
% 0.60/0.80 % (4639)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (4639)Termination reason: Unknown
% 0.60/0.80 % (4639)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (4639)Memory used [KB]: 1663
% 0.60/0.80 % (4639)Time elapsed: 0.027 s
% 0.60/0.80 % (4639)Instructions burned: 58 (million)
% 0.60/0.80 % (4639)------------------------------
% 0.60/0.80 % (4639)------------------------------
% 0.60/0.80 % (4644)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)
% 0.60/0.80 % (4633)Instruction limit reached!
% 0.60/0.80 % (4633)------------------------------
% 0.60/0.80 % (4633)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (4633)Termination reason: Unknown
% 0.60/0.80 % (4633)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (4633)Memory used [KB]: 1963
% 0.60/0.80 % (4633)Time elapsed: 0.031 s
% 0.60/0.80 % (4633)Instructions burned: 52 (million)
% 0.60/0.80 % (4633)------------------------------
% 0.60/0.80 % (4633)------------------------------
% 0.60/0.80 % (4643)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)
% 0.60/0.80 % (4640)Instruction limit reached!
% 0.60/0.80 % (4640)------------------------------
% 0.60/0.80 % (4640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.80 % (4640)Termination reason: Unknown
% 0.60/0.80 % (4640)Termination phase: Saturation
% 0.60/0.80
% 0.60/0.80 % (4640)Memory used [KB]: 2207
% 0.60/0.80 % (4640)Time elapsed: 0.019 s
% 0.60/0.80 % (4640)Instructions burned: 56 (million)
% 0.60/0.80 % (4640)------------------------------
% 0.60/0.80 % (4640)------------------------------
% 0.60/0.80 % (4645)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 (2995ds/42Mi)
% 0.60/0.81 % (4646)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 (2995ds/243Mi)
% 0.60/0.81 % (4638)Instruction limit reached!
% 0.60/0.81 % (4638)------------------------------
% 0.60/0.81 % (4638)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81 % (4638)Termination reason: Unknown
% 0.60/0.81 % (4638)Termination phase: Saturation
% 0.60/0.81
% 0.60/0.81 % (4638)Memory used [KB]: 1944
% 0.60/0.81 % (4638)Time elapsed: 0.039 s
% 0.60/0.81 % (4638)Instructions burned: 84 (million)
% 0.60/0.81 % (4638)------------------------------
% 0.60/0.81 % (4638)------------------------------
% 0.81/0.81 % (4642)First to succeed.
% 0.81/0.81 % (4634)Also succeeded, but the first one will report.
% 0.81/0.81 % (4642)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4631"
% 0.81/0.81 % (4647)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 (2995ds/117Mi)
% 0.81/0.81 % (4642)Refutation found. Thanks to Tanya!
% 0.81/0.81 % SZS status Unsatisfiable for Vampire---4
% 0.81/0.81 % SZS output start Proof for Vampire---4
% See solution above
% 0.81/0.81 % (4642)------------------------------
% 0.81/0.81 % (4642)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.81/0.81 % (4642)Termination reason: Refutation
% 0.81/0.81
% 0.81/0.81 % (4642)Memory used [KB]: 1443
% 0.81/0.81 % (4642)Time elapsed: 0.023 s
% 0.81/0.81 % (4642)Instructions burned: 41 (million)
% 0.81/0.81 % (4631)Success in time 0.438 s
% 0.81/0.81 % Vampire---4.8 exiting
%------------------------------------------------------------------------------