TSTP Solution File: SWC314+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC314+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 : n021.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 09:50:14 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 33
% Syntax : Number of formulae : 162 ( 6 unt; 0 def)
% Number of atoms : 820 ( 296 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 1084 ( 426 ~; 437 |; 164 &)
% ( 19 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 185 ( 131 !; 54 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f624,plain,
$false,
inference(avatar_sat_refutation,[],[f249,f254,f259,f264,f265,f266,f267,f296,f297,f311,f313,f317,f320,f326,f388,f404,f552,f575,f584]) ).
fof(f584,plain,
( ~ spl12_6
| ~ spl12_3
| ~ spl12_4
| ~ spl12_14
| spl12_19 ),
inference(avatar_split_clause,[],[f583,f456,f377,f251,f246,f261]) ).
fof(f261,plain,
( spl12_6
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f246,plain,
( spl12_3
<=> sK3 = app(cons(sK4,nil),sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f251,plain,
( spl12_4
<=> ssList(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f377,plain,
( spl12_14
<=> ssList(cons(sK4,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f456,plain,
( spl12_19
<=> nil = cons(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f583,plain,
( nil != sK3
| ~ spl12_3
| ~ spl12_4
| ~ spl12_14
| spl12_19 ),
inference(subsumption_resolution,[],[f582,f378]) ).
fof(f378,plain,
( ssList(cons(sK4,nil))
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f582,plain,
( nil != sK3
| ~ ssList(cons(sK4,nil))
| ~ spl12_3
| ~ spl12_4
| spl12_19 ),
inference(subsumption_resolution,[],[f581,f253]) ).
fof(f253,plain,
( ssList(sK5)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f581,plain,
( nil != sK3
| ~ ssList(sK5)
| ~ ssList(cons(sK4,nil))
| ~ spl12_3
| spl12_19 ),
inference(subsumption_resolution,[],[f418,f457]) ).
fof(f457,plain,
( nil != cons(sK4,nil)
| spl12_19 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f418,plain,
( nil != sK3
| nil = cons(sK4,nil)
| ~ ssList(sK5)
| ~ ssList(cons(sK4,nil))
| ~ spl12_3 ),
inference(superposition,[],[f188,f248]) ).
fof(f248,plain,
( sK3 = app(cons(sK4,nil),sK5)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f188,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YHI3G3t1UI/Vampire---4.8_10127',ax83) ).
fof(f575,plain,
( spl12_1
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f574]) ).
fof(f574,plain,
( $false
| spl12_1
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f573,f239]) ).
fof(f239,plain,
( sK2 != app(sK5,cons(sK4,nil))
| spl12_1 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f237,plain,
( spl12_1
<=> sK2 = app(sK5,cons(sK4,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f573,plain,
( sK2 = app(sK5,cons(sK4,nil))
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(backward_demodulation,[],[f563,f566]) ).
fof(f566,plain,
( hd(sK3) = sK4
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f565,f253]) ).
fof(f565,plain,
( hd(sK3) = sK4
| ~ ssList(sK5)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f555,f258]) ).
fof(f258,plain,
( ssItem(sK4)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f256,plain,
( spl12_5
<=> ssItem(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f555,plain,
( hd(sK3) = sK4
| ~ ssItem(sK4)
| ~ ssList(sK5)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(superposition,[],[f205,f453]) ).
fof(f453,plain,
( sK3 = cons(sK4,sK5)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f445,f253]) ).
fof(f445,plain,
( sK3 = cons(sK4,sK5)
| ~ ssList(sK5)
| ~ spl12_3
| ~ spl12_5 ),
inference(superposition,[],[f440,f248]) ).
fof(f440,plain,
( ! [X0] :
( cons(sK4,X0) = app(cons(sK4,nil),X0)
| ~ ssList(X0) )
| ~ spl12_5 ),
inference(resolution,[],[f191,f258]) ).
fof(f191,plain,
! [X0,X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,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.YHI3G3t1UI/Vampire---4.8_10127',ax81) ).
fof(f205,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.YHI3G3t1UI/Vampire---4.8_10127',ax23) ).
fof(f563,plain,
( sK2 = app(sK5,cons(hd(sK3),nil))
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_8 ),
inference(backward_demodulation,[],[f275,f560]) ).
fof(f560,plain,
( tl(sK3) = sK5
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f559,f253]) ).
fof(f559,plain,
( tl(sK3) = sK5
| ~ ssList(sK5)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f554,f258]) ).
fof(f554,plain,
( tl(sK3) = sK5
| ~ ssItem(sK4)
| ~ ssList(sK5)
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5 ),
inference(superposition,[],[f212,f453]) ).
fof(f212,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox/tmp/tmp.YHI3G3t1UI/Vampire---4.8_10127',ax25) ).
fof(f275,plain,
( sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl12_8
<=> sK2 = app(tl(sK3),cons(hd(sK3),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f552,plain,
( ~ spl12_5
| ~ spl12_19 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl12_5
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f550,f201]) ).
fof(f201,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.YHI3G3t1UI/Vampire---4.8_10127',ax17) ).
fof(f550,plain,
( ~ ssList(nil)
| ~ spl12_5
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f541,f258]) ).
fof(f541,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| ~ spl12_19 ),
inference(trivial_inequality_removal,[],[f539]) ).
fof(f539,plain,
( nil != nil
| ~ ssItem(sK4)
| ~ ssList(nil)
| ~ spl12_19 ),
inference(superposition,[],[f178,f458]) ).
fof(f458,plain,
( nil = cons(sK4,nil)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f178,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,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.YHI3G3t1UI/Vampire---4.8_10127',ax21) ).
fof(f404,plain,
( spl12_6
| spl12_13 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| spl12_6
| spl12_13 ),
inference(subsumption_resolution,[],[f402,f162]) ).
fof(f162,plain,
ssList(sK3),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
( ( ( nil != sK0
& nil = sK1 )
| ( sK0 != app(sK5,cons(sK4,nil))
& sK1 = app(cons(sK4,nil),sK5)
& ssList(sK5)
& ssItem(sK4) ) )
& ( ~ neq(sK3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,sK3)
| ! [X9] :
( ~ neq(nil,sK3)
| hd(sK3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(sK3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| sK2 = X6
| ~ ssList(X6) ) )
& ( nil != sK3
| nil = sK2 )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f99,f143,f142,f141,f140,f139,f138]) ).
fof(f138,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X0
& nil = X1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != X0
& app(cons(X4,nil),X5) = X1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| X2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = X2 )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != sK0
& nil = X1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = X1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| X2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = X2 )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f139,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != sK0
& nil = X1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = X1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| X2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = X2 )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil != sK0
& nil = sK1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = sK1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| X2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = X2 )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil != sK0
& nil = sK1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = sK1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| X2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = X2 )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil != sK0
& nil = sK1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = sK1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| sK2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = sK2 )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X3] :
( ( ( nil != sK0
& nil = sK1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = sK1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| sK2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = sK2 )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( ( nil != sK0
& nil = sK1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = sK1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(sK3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,sK3)
| ! [X9] :
( ~ neq(nil,sK3)
| hd(sK3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(sK3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| sK2 = X6
| ~ ssList(X6) ) )
& ( nil != sK3
| nil = sK2 )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != sK0
& app(cons(X4,nil),X5) = sK1
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( sK0 != app(X5,cons(sK4,nil))
& sK1 = app(cons(sK4,nil),X5)
& ssList(X5) )
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X5] :
( sK0 != app(X5,cons(sK4,nil))
& sK1 = app(cons(sK4,nil),X5)
& ssList(X5) )
=> ( sK0 != app(sK5,cons(sK4,nil))
& sK1 = app(cons(sK4,nil),sK5)
& ssList(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil != X0
& nil = X1 )
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) != X0
& app(cons(X4,nil),X5) = X1
& ssList(X5) )
& ssItem(X4) ) )
& ( ~ neq(X3,nil)
| ! [X6] :
( ! [X7] :
( ! [X8] :
( ~ neq(nil,X3)
| ! [X9] :
( ~ neq(nil,X3)
| hd(X3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9) )
| app(X7,X8) != X6
| tl(X3) != X7
| ~ ssList(X8) )
| ~ ssList(X7) )
| X2 = X6
| ~ ssList(X6) ) )
& ( nil != X3
| nil = X2 )
& 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] :
( ( ( nil = X0
| nil != X1 )
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( app(X5,cons(X4,nil)) = X0
| app(cons(X4,nil),X5) != X1
| ~ ssList(X5) ) ) )
| ( neq(X3,nil)
& ? [X6] :
( ? [X7] :
( ? [X8] :
( neq(nil,X3)
& ? [X9] :
( neq(nil,X3)
& hd(X3) = X9
& cons(X9,nil) = X8
& ssItem(X9) )
& app(X7,X8) = X6
& tl(X3) = X7
& ssList(X8) )
& ssList(X7) )
& X2 != X6
& ssList(X6) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil = X0
| nil != X1 )
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( app(X9,cons(X8,nil)) = X0
| app(cons(X8,nil),X9) != X1
| ~ ssList(X9) ) ) )
| ( neq(X3,nil)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( neq(nil,X3)
& ? [X7] :
( neq(nil,X3)
& hd(X3) = X7
& cons(X7,nil) = X6
& ssItem(X7) )
& app(X5,X6) = X4
& tl(X3) = X5
& ssList(X6) )
& ssList(X5) )
& X2 != X4
& ssList(X4) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ( ( nil = X0
| nil != X1 )
& ! [X8] :
( ssItem(X8)
=> ! [X9] :
( app(X9,cons(X8,nil)) = X0
| app(cons(X8,nil),X9) != X1
| ~ ssList(X9) ) ) )
| ( neq(X3,nil)
& ? [X4] :
( ? [X5] :
( ? [X6] :
( neq(nil,X3)
& ? [X7] :
( neq(nil,X3)
& hd(X3) = X7
& cons(X7,nil) = X6
& ssItem(X7) )
& app(X5,X6) = X4
& tl(X3) = X5
& ssList(X6) )
& ssList(X5) )
& X2 != X4
& ssList(X4) ) )
| ( nil = X3
& nil != X2 )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.YHI3G3t1UI/Vampire---4.8_10127',co1) ).
fof(f402,plain,
( ~ ssList(sK3)
| spl12_6
| spl12_13 ),
inference(subsumption_resolution,[],[f401,f201]) ).
fof(f401,plain,
( ~ ssList(nil)
| ~ ssList(sK3)
| spl12_6
| spl12_13 ),
inference(subsumption_resolution,[],[f390,f262]) ).
fof(f262,plain,
( nil != sK3
| spl12_6 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f390,plain,
( nil = sK3
| ~ ssList(nil)
| ~ ssList(sK3)
| spl12_13 ),
inference(resolution,[],[f295,f198]) ).
fof(f198,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f118]) ).
fof(f118,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.YHI3G3t1UI/Vampire---4.8_10127',ax15) ).
fof(f295,plain,
( ~ neq(sK3,nil)
| spl12_13 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl12_13
<=> neq(sK3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f388,plain,
( ~ spl12_5
| spl12_14 ),
inference(avatar_contradiction_clause,[],[f387]) ).
fof(f387,plain,
( $false
| ~ spl12_5
| spl12_14 ),
inference(subsumption_resolution,[],[f386,f201]) ).
fof(f386,plain,
( ~ ssList(nil)
| ~ spl12_5
| spl12_14 ),
inference(subsumption_resolution,[],[f385,f258]) ).
fof(f385,plain,
( ~ ssItem(sK4)
| ~ ssList(nil)
| spl12_14 ),
inference(resolution,[],[f379,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YHI3G3t1UI/Vampire---4.8_10127',ax16) ).
fof(f379,plain,
( ~ ssList(cons(sK4,nil))
| spl12_14 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f326,plain,
( spl12_6
| spl12_11 ),
inference(avatar_split_clause,[],[f325,f285,f261]) ).
fof(f285,plain,
( spl12_11
<=> ssItem(hd(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f325,plain,
( nil = sK3
| spl12_11 ),
inference(subsumption_resolution,[],[f321,f162]) ).
fof(f321,plain,
( nil = sK3
| ~ ssList(sK3)
| spl12_11 ),
inference(resolution,[],[f287,f206]) ).
fof(f206,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,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.YHI3G3t1UI/Vampire---4.8_10127',ax22) ).
fof(f287,plain,
( ~ ssItem(hd(sK3))
| spl12_11 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f320,plain,
( ~ spl12_11
| spl12_10 ),
inference(avatar_split_clause,[],[f319,f281,f285]) ).
fof(f281,plain,
( spl12_10
<=> ssList(cons(hd(sK3),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f319,plain,
( ~ ssItem(hd(sK3))
| spl12_10 ),
inference(subsumption_resolution,[],[f318,f201]) ).
fof(f318,plain,
( ~ ssItem(hd(sK3))
| ~ ssList(nil)
| spl12_10 ),
inference(resolution,[],[f283,f185]) ).
fof(f283,plain,
( ~ ssList(cons(hd(sK3),nil))
| spl12_10 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f317,plain,
( spl12_6
| spl12_9 ),
inference(avatar_contradiction_clause,[],[f316]) ).
fof(f316,plain,
( $false
| spl12_6
| spl12_9 ),
inference(subsumption_resolution,[],[f315,f162]) ).
fof(f315,plain,
( ~ ssList(sK3)
| spl12_6
| spl12_9 ),
inference(subsumption_resolution,[],[f314,f262]) ).
fof(f314,plain,
( nil = sK3
| ~ ssList(sK3)
| spl12_9 ),
inference(resolution,[],[f279,f213]) ).
fof(f213,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,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.YHI3G3t1UI/Vampire---4.8_10127',ax24) ).
fof(f279,plain,
( ~ ssList(tl(sK3))
| spl12_9 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f277,plain,
( spl12_9
<=> ssList(tl(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f313,plain,
( ~ spl12_9
| ~ spl12_10
| spl12_7 ),
inference(avatar_split_clause,[],[f312,f269,f281,f277]) ).
fof(f269,plain,
( spl12_7
<=> ssList(app(tl(sK3),cons(hd(sK3),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f312,plain,
( ~ ssList(cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| spl12_7 ),
inference(resolution,[],[f271,f196]) ).
fof(f196,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/tmp/tmp.YHI3G3t1UI/Vampire---4.8_10127',ax26) ).
fof(f271,plain,
( ~ ssList(app(tl(sK3),cons(hd(sK3),nil)))
| spl12_7 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f311,plain,
( spl12_6
| spl12_12 ),
inference(avatar_contradiction_clause,[],[f310]) ).
fof(f310,plain,
( $false
| spl12_6
| spl12_12 ),
inference(subsumption_resolution,[],[f309,f201]) ).
fof(f309,plain,
( ~ ssList(nil)
| spl12_6
| spl12_12 ),
inference(subsumption_resolution,[],[f308,f162]) ).
fof(f308,plain,
( ~ ssList(sK3)
| ~ ssList(nil)
| spl12_6
| spl12_12 ),
inference(subsumption_resolution,[],[f303,f262]) ).
fof(f303,plain,
( nil = sK3
| ~ ssList(sK3)
| ~ ssList(nil)
| spl12_12 ),
inference(resolution,[],[f198,f291]) ).
fof(f291,plain,
( ~ neq(nil,sK3)
| spl12_12 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl12_12
<=> neq(nil,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f297,plain,
( spl12_2
| ~ spl12_6 ),
inference(avatar_split_clause,[],[f165,f261,f241]) ).
fof(f241,plain,
( spl12_2
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f165,plain,
( nil != sK3
| nil = sK2 ),
inference(cnf_transformation,[],[f144]) ).
fof(f296,plain,
( ~ spl12_7
| spl12_8
| ~ spl12_9
| ~ spl12_10
| ~ spl12_11
| ~ spl12_12
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f235,f293,f289,f285,f281,f277,f273,f269]) ).
fof(f235,plain,
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| ~ ssItem(hd(sK3))
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ ssList(app(tl(sK3),cons(hd(sK3),nil))) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f227,plain,
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ ssItem(hd(sK3))
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(tl(sK3))
| sK2 = app(tl(sK3),cons(hd(sK3),nil))
| ~ ssList(app(tl(sK3),cons(hd(sK3),nil))) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X7] :
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ ssItem(hd(sK3))
| tl(sK3) != X7
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(X7)
| sK2 = app(X7,cons(hd(sK3),nil))
| ~ ssList(app(X7,cons(hd(sK3),nil))) ),
inference(equality_resolution,[],[f225]) ).
fof(f225,plain,
! [X6,X7] :
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| ~ ssItem(hd(sK3))
| app(X7,cons(hd(sK3),nil)) != X6
| tl(sK3) != X7
| ~ ssList(cons(hd(sK3),nil))
| ~ ssList(X7)
| sK2 = X6
| ~ ssList(X6) ),
inference(equality_resolution,[],[f224]) ).
fof(f224,plain,
! [X8,X6,X7] :
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| cons(hd(sK3),nil) != X8
| ~ ssItem(hd(sK3))
| app(X7,X8) != X6
| tl(sK3) != X7
| ~ ssList(X8)
| ~ ssList(X7)
| sK2 = X6
| ~ ssList(X6) ),
inference(equality_resolution,[],[f166]) ).
fof(f166,plain,
! [X8,X6,X9,X7] :
( ~ neq(sK3,nil)
| ~ neq(nil,sK3)
| ~ neq(nil,sK3)
| hd(sK3) != X9
| cons(X9,nil) != X8
| ~ ssItem(X9)
| app(X7,X8) != X6
| tl(sK3) != X7
| ~ ssList(X8)
| ~ ssList(X7)
| sK2 = X6
| ~ ssList(X6) ),
inference(cnf_transformation,[],[f144]) ).
fof(f267,plain,
( spl12_5
| spl12_6 ),
inference(avatar_split_clause,[],[f221,f261,f256]) ).
fof(f221,plain,
( nil = sK3
| ssItem(sK4) ),
inference(definition_unfolding,[],[f167,f163]) ).
fof(f163,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f144]) ).
fof(f167,plain,
( nil = sK1
| ssItem(sK4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f266,plain,
( spl12_4
| spl12_6 ),
inference(avatar_split_clause,[],[f220,f261,f251]) ).
fof(f220,plain,
( nil = sK3
| ssList(sK5) ),
inference(definition_unfolding,[],[f168,f163]) ).
fof(f168,plain,
( nil = sK1
| ssList(sK5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f265,plain,
( spl12_3
| spl12_6 ),
inference(avatar_split_clause,[],[f219,f261,f246]) ).
fof(f219,plain,
( nil = sK3
| sK3 = app(cons(sK4,nil),sK5) ),
inference(definition_unfolding,[],[f169,f163,f163]) ).
fof(f169,plain,
( nil = sK1
| sK1 = app(cons(sK4,nil),sK5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f264,plain,
( ~ spl12_1
| spl12_6 ),
inference(avatar_split_clause,[],[f218,f261,f237]) ).
fof(f218,plain,
( nil = sK3
| sK2 != app(sK5,cons(sK4,nil)) ),
inference(definition_unfolding,[],[f170,f163,f164]) ).
fof(f164,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f144]) ).
fof(f170,plain,
( nil = sK1
| sK0 != app(sK5,cons(sK4,nil)) ),
inference(cnf_transformation,[],[f144]) ).
fof(f259,plain,
( spl12_5
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f217,f241,f256]) ).
fof(f217,plain,
( nil != sK2
| ssItem(sK4) ),
inference(definition_unfolding,[],[f171,f164]) ).
fof(f171,plain,
( nil != sK0
| ssItem(sK4) ),
inference(cnf_transformation,[],[f144]) ).
fof(f254,plain,
( spl12_4
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f216,f241,f251]) ).
fof(f216,plain,
( nil != sK2
| ssList(sK5) ),
inference(definition_unfolding,[],[f172,f164]) ).
fof(f172,plain,
( nil != sK0
| ssList(sK5) ),
inference(cnf_transformation,[],[f144]) ).
fof(f249,plain,
( spl12_3
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f215,f241,f246]) ).
fof(f215,plain,
( nil != sK2
| sK3 = app(cons(sK4,nil),sK5) ),
inference(definition_unfolding,[],[f173,f164,f163]) ).
fof(f173,plain,
( nil != sK0
| sK1 = app(cons(sK4,nil),sK5) ),
inference(cnf_transformation,[],[f144]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWC314+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % 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
% 0.16/0.36 % Computer : n021.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
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Fri May 3 20:30:23 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37 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.YHI3G3t1UI/Vampire---4.8_10127
% 0.56/0.75 % (10390)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)
% 0.56/0.75 % (10384)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)
% 0.56/0.75 % (10387)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)
% 0.56/0.75 % (10385)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)
% 0.56/0.75 % (10386)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75 % (10389)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)
% 0.56/0.75 % (10391)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)
% 0.56/0.76 % (10388)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 % (10386)First to succeed.
% 0.60/0.77 % (10386)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10380"
% 0.60/0.77 % (10386)Refutation found. Thanks to Tanya!
% 0.60/0.77 % SZS status Theorem for Vampire---4
% 0.60/0.77 % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.77 % (10386)------------------------------
% 0.60/0.77 % (10386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77 % (10386)Termination reason: Refutation
% 0.60/0.77
% 0.60/0.77 % (10386)Memory used [KB]: 1318
% 0.60/0.77 % (10386)Time elapsed: 0.017 s
% 0.60/0.77 % (10386)Instructions burned: 26 (million)
% 0.60/0.77 % (10380)Success in time 0.388 s
% 0.60/0.77 % Vampire---4.8 exiting
%------------------------------------------------------------------------------