TSTP Solution File: SWC418+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC418+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 : n023.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 09:50:58 EDT 2024
% Result : Theorem 0.59s 0.78s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 30
% Syntax : Number of formulae : 124 ( 13 unt; 0 def)
% Number of atoms : 699 ( 234 equ)
% Maximal formula atoms : 52 ( 5 avg)
% Number of connectives : 974 ( 399 ~; 390 |; 136 &)
% ( 17 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 16 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 201 ( 156 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f946,plain,
$false,
inference(avatar_sat_refutation,[],[f608,f618,f642,f655,f678,f752,f789,f799,f801,f823,f832,f868,f875,f884,f942,f945]) ).
fof(f945,plain,
( ~ spl51_16
| spl51_9
| spl51_34 ),
inference(avatar_split_clause,[],[f944,f939,f614,f660]) ).
fof(f660,plain,
( spl51_16
<=> ssList(sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_16])]) ).
fof(f614,plain,
( spl51_9
<=> nil = sK50 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f939,plain,
( spl51_34
<=> sK50 = cons(hd(sK50),tl(sK50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_34])]) ).
fof(f944,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_34 ),
inference(trivial_inequality_removal,[],[f943]) ).
fof(f943,plain,
( sK50 != sK50
| nil = sK50
| ~ ssList(sK50)
| spl51_34 ),
inference(superposition,[],[f941,f505]) ).
fof(f505,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax78) ).
fof(f941,plain,
( sK50 != cons(hd(sK50),tl(sK50))
| spl51_34 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f942,plain,
( ~ spl51_3
| ~ spl51_5
| ~ spl51_34
| spl51_33 ),
inference(avatar_split_clause,[],[f931,f881,f939,f597,f589]) ).
fof(f589,plain,
( spl51_3
<=> ssList(tl(sK50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_3])]) ).
fof(f597,plain,
( spl51_5
<=> ssItem(hd(sK50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_5])]) ).
fof(f881,plain,
( spl51_33
<=> sK50 = app(cons(hd(sK50),nil),tl(sK50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_33])]) ).
fof(f931,plain,
( sK50 != cons(hd(sK50),tl(sK50))
| ~ ssItem(hd(sK50))
| ~ ssList(tl(sK50))
| spl51_33 ),
inference(superposition,[],[f883,f508]) ).
fof(f508,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,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/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax81) ).
fof(f883,plain,
( sK50 != app(cons(hd(sK50),nil),tl(sK50))
| spl51_33 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f884,plain,
( ~ spl51_4
| ~ spl51_33
| spl51_32 ),
inference(avatar_split_clause,[],[f879,f865,f881,f593]) ).
fof(f593,plain,
( spl51_4
<=> ssList(cons(hd(sK50),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_4])]) ).
fof(f865,plain,
( spl51_32
<=> sK50 = app(app(nil,cons(hd(sK50),nil)),tl(sK50)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_32])]) ).
fof(f879,plain,
( sK50 != app(cons(hd(sK50),nil),tl(sK50))
| ~ ssList(cons(hd(sK50),nil))
| spl51_32 ),
inference(superposition,[],[f867,f434]) ).
fof(f434,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,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/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax28) ).
fof(f867,plain,
( sK50 != app(app(nil,cons(hd(sK50),nil)),tl(sK50))
| spl51_32 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f875,plain,
( ~ spl51_11
| ~ spl51_16
| spl51_9
| spl51_6 ),
inference(avatar_split_clause,[],[f872,f601,f614,f660,f630]) ).
fof(f630,plain,
( spl51_11
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_11])]) ).
fof(f601,plain,
( spl51_6
<=> neq(nil,sK50) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_6])]) ).
fof(f872,plain,
( nil = sK50
| ~ ssList(sK50)
| ~ ssList(nil)
| spl51_6 ),
inference(resolution,[],[f418,f603]) ).
fof(f603,plain,
( ~ neq(nil,sK50)
| spl51_6 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f418,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax15) ).
fof(f868,plain,
( ~ spl51_14
| ~ spl51_32
| ~ spl51_11
| ~ spl51_29 ),
inference(avatar_split_clause,[],[f863,f821,f630,f865,f647]) ).
fof(f647,plain,
( spl51_14
<=> ssList(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_14])]) ).
fof(f821,plain,
( spl51_29
<=> ! [X0] :
( sK49 != app(sK49,X0)
| ~ ssList(X0)
| sK50 != app(app(X0,cons(hd(sK50),nil)),tl(sK50)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_29])]) ).
fof(f863,plain,
( ~ ssList(nil)
| sK50 != app(app(nil,cons(hd(sK50),nil)),tl(sK50))
| ~ ssList(sK49)
| ~ spl51_29 ),
inference(trivial_inequality_removal,[],[f862]) ).
fof(f862,plain,
( sK49 != sK49
| ~ ssList(nil)
| sK50 != app(app(nil,cons(hd(sK50),nil)),tl(sK50))
| ~ ssList(sK49)
| ~ spl51_29 ),
inference(superposition,[],[f822,f513]) ).
fof(f513,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,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/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax84) ).
fof(f822,plain,
( ! [X0] :
( sK49 != app(sK49,X0)
| ~ ssList(X0)
| sK50 != app(app(X0,cons(hd(sK50),nil)),tl(sK50)) )
| ~ spl51_29 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f832,plain,
( ~ spl51_3
| ~ spl51_4
| spl51_1 ),
inference(avatar_split_clause,[],[f827,f581,f593,f589]) ).
fof(f581,plain,
( spl51_1
<=> ssList(app(tl(sK50),cons(hd(sK50),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f827,plain,
( ~ ssList(cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| spl51_1 ),
inference(resolution,[],[f432,f583]) ).
fof(f583,plain,
( ~ ssList(app(tl(sK50),cons(hd(sK50),nil)))
| spl51_1 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f432,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax26) ).
fof(f823,plain,
( ~ spl51_5
| ~ spl51_3
| spl51_29
| ~ spl51_2 ),
inference(avatar_split_clause,[],[f819,f585,f821,f589,f597]) ).
fof(f585,plain,
( spl51_2
<=> sK49 = app(tl(sK50),cons(hd(sK50),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_2])]) ).
fof(f819,plain,
( ! [X0] :
( sK49 != app(sK49,X0)
| sK50 != app(app(X0,cons(hd(sK50),nil)),tl(sK50))
| ~ ssList(tl(sK50))
| ~ ssList(X0)
| ~ ssItem(hd(sK50)) )
| ~ spl51_2 ),
inference(superposition,[],[f537,f587]) ).
fof(f587,plain,
( sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ spl51_2 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f537,plain,
! [X10,X8,X9] :
( app(app(X10,cons(X8,nil)),X9) != sK49
| app(app(X9,cons(X8,nil)),X10) != sK50
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(definition_unfolding,[],[f534,f532,f531]) ).
fof(f531,plain,
sK48 = sK50,
inference(cnf_transformation,[],[f336]) ).
fof(f336,plain,
( ( ~ neq(sK50,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK50)
| ! [X7] :
( ~ neq(nil,sK50)
| hd(sK50) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK50) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK49 = X4
| ~ ssList(X4) ) )
& ( nil != sK50
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = sK50
& ssList(sK50)
& ssList(sK49)
& ssList(sK48)
& ssList(sK47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50])],[f223,f335,f334,f333,f332]) ).
fof(f332,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ 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 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != X0
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ 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 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ 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 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& sK47 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ 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 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
( ? [X2] :
( ? [X3] :
( ( ~ 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 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = X2
& sK48 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ 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) )
| sK49 = X4
| ~ ssList(X4) ) )
& ( nil != X3
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
& ssList(sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
( ? [X3] :
( ( ~ 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) )
| sK49 = X4
| ~ ssList(X4) ) )
& ( nil != X3
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = X3
& ssList(X3) )
=> ( ( ~ neq(sK50,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK50)
| ! [X7] :
( ~ neq(nil,sK50)
| hd(sK50) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X5,X6) != X4
| tl(sK50) != X5
| ~ ssList(X6) )
| ~ ssList(X5) )
| sK49 = X4
| ~ ssList(X4) ) )
& ( nil != sK50
| nil = sK49 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(sK48,nil)
& sK47 = sK49
& sK48 = sK50
& ssList(sK50) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ 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 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != X0
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ 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 )
& ! [X8] :
( ! [X9] :
( ! [X10] :
( app(app(X10,cons(X8,nil)),X9) != X0
| app(app(X9,cons(X8,nil)),X10) != X1
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssItem(X8) )
& neq(X1,nil)
& 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)
=> ( ( 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 )
| ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(X10,cons(X8,nil)),X9) = X0
& app(app(X9,cons(X8,nil)),X10) = X1
& ssList(X10) )
& ssList(X9) )
& ssItem(X8) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ? [X7] :
( ? [X8] :
( ? [X9] :
( neq(nil,X3)
& ? [X10] :
( neq(nil,X3)
& hd(X3) = X10
& cons(X10,nil) = X9
& ssItem(X10) )
& app(X8,X9) = X7
& tl(X3) = X8
& ssList(X9) )
& ssList(X8) )
& X2 != X7
& ssList(X7) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ? [X7] :
( ? [X8] :
( ? [X9] :
( neq(nil,X3)
& ? [X10] :
( neq(nil,X3)
& hd(X3) = X10
& cons(X10,nil) = X9
& ssItem(X10) )
& app(X8,X9) = X7
& tl(X3) = X8
& ssList(X9) )
& ssList(X8) )
& X2 != X7
& ssList(X7) ) )
| ( nil = X3
& nil != X2 )
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X6,cons(X4,nil)),X5) = X0
& app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',co1) ).
fof(f532,plain,
sK47 = sK49,
inference(cnf_transformation,[],[f336]) ).
fof(f534,plain,
! [X10,X8,X9] :
( app(app(X10,cons(X8,nil)),X9) != sK47
| app(app(X9,cons(X8,nil)),X10) != sK48
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssItem(X8) ),
inference(cnf_transformation,[],[f336]) ).
fof(f801,plain,
( ~ spl51_16
| spl51_9
| spl51_5 ),
inference(avatar_split_clause,[],[f800,f597,f614,f660]) ).
fof(f800,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_5 ),
inference(resolution,[],[f599,f428]) ).
fof(f428,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax22) ).
fof(f599,plain,
( ~ ssItem(hd(sK50))
| spl51_5 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f799,plain,
( ~ spl51_11
| ~ spl51_5
| spl51_4 ),
inference(avatar_split_clause,[],[f798,f593,f597,f630]) ).
fof(f798,plain,
( ~ ssItem(hd(sK50))
| ~ ssList(nil)
| spl51_4 ),
inference(resolution,[],[f595,f419]) ).
fof(f419,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax16) ).
fof(f595,plain,
( ~ ssList(cons(hd(sK50),nil))
| spl51_4 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f789,plain,
( ~ spl51_11
| ~ spl51_7
| ~ spl51_9 ),
inference(avatar_split_clause,[],[f788,f614,f605,f630]) ).
fof(f605,plain,
( spl51_7
<=> neq(sK50,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_7])]) ).
fof(f788,plain,
( ~ ssList(nil)
| ~ spl51_7
| ~ spl51_9 ),
inference(resolution,[],[f784,f577]) ).
fof(f577,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f555]) ).
fof(f555,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f417]) ).
fof(f417,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f784,plain,
( neq(nil,nil)
| ~ spl51_7
| ~ spl51_9 ),
inference(superposition,[],[f606,f615]) ).
fof(f615,plain,
( nil = sK50
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f606,plain,
( neq(sK50,nil)
| ~ spl51_7 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f752,plain,
( ~ spl51_16
| spl51_9
| spl51_3 ),
inference(avatar_split_clause,[],[f751,f589,f614,f660]) ).
fof(f751,plain,
( nil = sK50
| ~ ssList(sK50)
| spl51_3 ),
inference(resolution,[],[f430,f591]) ).
fof(f591,plain,
( ~ ssList(tl(sK50))
| spl51_3 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f430,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax24) ).
fof(f678,plain,
spl51_16,
inference(avatar_contradiction_clause,[],[f677]) ).
fof(f677,plain,
( $false
| spl51_16 ),
inference(resolution,[],[f662,f530]) ).
fof(f530,plain,
ssList(sK50),
inference(cnf_transformation,[],[f336]) ).
fof(f662,plain,
( ~ ssList(sK50)
| spl51_16 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f655,plain,
spl51_14,
inference(avatar_contradiction_clause,[],[f654]) ).
fof(f654,plain,
( $false
| spl51_14 ),
inference(resolution,[],[f649,f529]) ).
fof(f529,plain,
ssList(sK49),
inference(cnf_transformation,[],[f336]) ).
fof(f649,plain,
( ~ ssList(sK49)
| spl51_14 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f642,plain,
spl51_11,
inference(avatar_contradiction_clause,[],[f641]) ).
fof(f641,plain,
( $false
| spl51_11 ),
inference(resolution,[],[f632,f420]) ).
fof(f420,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.ITKQn0D5Ml/Vampire---4.8_16475',ax17) ).
fof(f632,plain,
( ~ ssList(nil)
| spl51_11 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f618,plain,
spl51_7,
inference(avatar_split_clause,[],[f538,f605]) ).
fof(f538,plain,
neq(sK50,nil),
inference(definition_unfolding,[],[f533,f531]) ).
fof(f533,plain,
neq(sK48,nil),
inference(cnf_transformation,[],[f336]) ).
fof(f608,plain,
( ~ spl51_1
| spl51_2
| ~ spl51_3
| ~ spl51_4
| ~ spl51_5
| ~ spl51_6
| ~ spl51_7 ),
inference(avatar_split_clause,[],[f572,f605,f601,f597,f593,f589,f585,f581]) ).
fof(f572,plain,
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssList(app(tl(sK50),cons(hd(sK50),nil))) ),
inference(duplicate_literal_removal,[],[f571]) ).
fof(f571,plain,
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(tl(sK50))
| sK49 = app(tl(sK50),cons(hd(sK50),nil))
| ~ ssList(app(tl(sK50),cons(hd(sK50),nil))) ),
inference(equality_resolution,[],[f570]) ).
fof(f570,plain,
! [X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| tl(sK50) != X5
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X5)
| sK49 = app(X5,cons(hd(sK50),nil))
| ~ ssList(app(X5,cons(hd(sK50),nil))) ),
inference(equality_resolution,[],[f569]) ).
fof(f569,plain,
! [X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ neq(nil,sK50)
| ~ ssItem(hd(sK50))
| app(X5,cons(hd(sK50),nil)) != X4
| tl(sK50) != X5
| ~ ssList(cons(hd(sK50),nil))
| ~ ssList(X5)
| sK49 = X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f568]) ).
fof(f568,plain,
! [X6,X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ neq(nil,sK50)
| cons(hd(sK50),nil) != X6
| ~ ssItem(hd(sK50))
| app(X5,X6) != X4
| tl(sK50) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK49 = X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f536]) ).
fof(f536,plain,
! [X6,X7,X4,X5] :
( ~ neq(sK50,nil)
| ~ neq(nil,sK50)
| ~ neq(nil,sK50)
| hd(sK50) != X7
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X5,X6) != X4
| tl(sK50) != X5
| ~ ssList(X6)
| ~ ssList(X5)
| sK49 = X4
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f336]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC418+1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.16 % 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
% 0.15/0.37 % Computer : n023.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Fri May 3 20:35:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.15/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37 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.ITKQn0D5Ml/Vampire---4.8_16475
% 0.59/0.76 % (16589)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)
% 0.59/0.76 % (16591)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76 % (16593)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)
% 0.59/0.76 % (16590)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)
% 0.59/0.77 % (16592)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)
% 0.59/0.77 % (16594)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)
% 0.59/0.77 % (16595)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)
% 0.59/0.77 % (16596)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)
% 0.59/0.78 % (16589)Instruction limit reached!
% 0.59/0.78 % (16589)------------------------------
% 0.59/0.78 % (16589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (16589)Termination reason: Unknown
% 0.59/0.78 % (16589)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (16589)Memory used [KB]: 1451
% 0.59/0.78 % (16589)Time elapsed: 0.035 s
% 0.59/0.78 % (16589)Instructions burned: 35 (million)
% 0.59/0.78 % (16589)------------------------------
% 0.59/0.78 % (16589)------------------------------
% 0.59/0.78 % (16597)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)
% 0.59/0.78 % (16593)Instruction limit reached!
% 0.59/0.78 % (16593)------------------------------
% 0.59/0.78 % (16593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (16593)Termination reason: Unknown
% 0.59/0.78 % (16593)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (16593)Memory used [KB]: 2047
% 0.59/0.78 % (16593)Time elapsed: 0.038 s
% 0.59/0.78 % (16593)Instructions burned: 34 (million)
% 0.59/0.78 % (16593)------------------------------
% 0.59/0.78 % (16593)------------------------------
% 0.59/0.78 % (16590)First to succeed.
% 0.59/0.78 % (16592)Instruction limit reached!
% 0.59/0.78 % (16592)------------------------------
% 0.59/0.78 % (16592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.78 % (16592)Termination reason: Unknown
% 0.59/0.78 % (16592)Termination phase: Saturation
% 0.59/0.78
% 0.59/0.78 % (16592)Memory used [KB]: 1552
% 0.59/0.78 % (16592)Time elapsed: 0.041 s
% 0.59/0.78 % (16592)Instructions burned: 34 (million)
% 0.59/0.78 % (16592)------------------------------
% 0.59/0.78 % (16592)------------------------------
% 0.59/0.78 % (16590)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16588"
% 0.59/0.78 % (16590)Refutation found. Thanks to Tanya!
% 0.59/0.78 % SZS status Theorem for Vampire---4
% 0.59/0.78 % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.79 % (16590)------------------------------
% 0.59/0.79 % (16590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.79 % (16590)Termination reason: Refutation
% 0.59/0.79
% 0.59/0.79 % (16590)Memory used [KB]: 1570
% 0.59/0.79 % (16590)Time elapsed: 0.042 s
% 0.59/0.79 % (16590)Instructions burned: 35 (million)
% 0.59/0.79 % (16588)Success in time 0.416 s
% 0.59/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------