TSTP Solution File: SWC314+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC314+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:40:21 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 1.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 35
% Syntax : Number of formulae : 175 ( 7 unt; 0 def)
% Number of atoms : 860 ( 301 equ)
% Maximal formula atoms : 52 ( 4 avg)
% Number of connectives : 1145 ( 460 ~; 480 |; 151 &)
% ( 20 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 17 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 178 ( 128 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f649,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f271,f276,f285,f286,f287,f292,f293,f294,f304,f312,f360,f364,f379,f383,f387,f390,f394,f410,f416,f648]) ).
fof(f648,plain,
( ~ spl12_1
| ~ spl12_9
| ~ spl12_10
| spl12_12
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f647]) ).
fof(f647,plain,
( $false
| ~ spl12_1
| ~ spl12_9
| ~ spl12_10
| spl12_12
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f646,f284]) ).
fof(f284,plain,
( app(sK6,cons(sK5,nil)) != sK1
| spl12_12 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f282,plain,
( spl12_12
<=> app(sK6,cons(sK5,nil)) = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_12])]) ).
fof(f646,plain,
( app(sK6,cons(sK5,nil)) = sK1
| ~ spl12_1
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(forward_demodulation,[],[f528,f527]) ).
fof(f527,plain,
( tl(sK4) = sK6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f526,f275]) ).
fof(f275,plain,
( ssItem(sK5)
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f273,plain,
( spl12_10
<=> ssItem(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f526,plain,
( tl(sK4) = sK6
| ~ ssItem(sK5)
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f518,f291]) ).
fof(f291,plain,
( ssList(sK6)
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f289,plain,
( spl12_13
<=> ssList(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f518,plain,
( ~ ssList(sK6)
| ~ ssItem(sK5)
| tl(sK4) = sK6
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(superposition,[],[f194,f514]) ).
fof(f514,plain,
( cons(sK5,sK6) = sK4
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f513,f275]) ).
fof(f513,plain,
( ~ ssItem(sK5)
| cons(sK5,sK6) = sK4
| ~ spl12_9
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f506,f291]) ).
fof(f506,plain,
( ~ ssList(sK6)
| ~ ssItem(sK5)
| cons(sK5,sK6) = sK4
| ~ spl12_9 ),
inference(superposition,[],[f270,f199]) ).
fof(f199,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),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/benchmark/theBenchmark.p',ax81) ).
fof(f270,plain,
( app(cons(sK5,nil),sK6) = sK4
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl12_9
<=> app(cons(sK5,nil),sK6) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f194,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f528,plain,
( sK1 = app(tl(sK4),cons(sK5,nil))
| ~ spl12_1
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(backward_demodulation,[],[f237,f523]) ).
fof(f523,plain,
( sK5 = hd(sK4)
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f522,f275]) ).
fof(f522,plain,
( ~ ssItem(sK5)
| sK5 = hd(sK4)
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f517,f291]) ).
fof(f517,plain,
( sK5 = hd(sK4)
| ~ ssList(sK6)
| ~ ssItem(sK5)
| ~ spl12_9
| ~ spl12_10
| ~ spl12_13 ),
inference(superposition,[],[f209,f514]) ).
fof(f209,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f237,plain,
( app(tl(sK4),cons(hd(sK4),nil)) = sK1
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl12_1
<=> app(tl(sK4),cons(hd(sK4),nil)) = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f416,plain,
( spl12_4
| spl12_8
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| spl12_4
| spl12_8
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f414,f265]) ).
fof(f265,plain,
( nil != sK4
| spl12_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f264,plain,
( spl12_8
<=> nil = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f414,plain,
( nil = sK4
| spl12_4
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f413,f297]) ).
fof(f297,plain,
( ssList(nil)
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f296,plain,
( spl12_14
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_14])]) ).
fof(f413,plain,
( ~ ssList(nil)
| nil = sK4
| spl12_4 ),
inference(subsumption_resolution,[],[f411,f177]) ).
fof(f177,plain,
ssList(sK4),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
( ssList(sK1)
& ssList(sK4)
& ( ~ neq(sK4,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK4)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| hd(sK4) != X7 )
| ~ ssList(X6)
| tl(sK4) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| sK3 = X4
| ~ ssList(X4) ) )
& sK3 = sK1
& sK2 = sK4
& ( nil != sK4
| nil = sK3 )
& ( ( nil = sK2
& nil != sK1 )
| ( ssItem(sK5)
& sK2 = app(cons(sK5,nil),sK6)
& app(sK6,cons(sK5,nil)) != sK1
& ssList(sK6) ) )
& ssList(sK3)
& ssList(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5,sK6])],[f101,f145,f144,f143,f142,f141,f140]) ).
fof(f140,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| X2 = X4
| ~ ssList(X4) ) )
& X0 = X2
& X1 = X3
& ( nil != X3
| nil = X2 )
& ( ( nil = X1
& nil != X0 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = X1
& app(X9,cons(X8,nil)) != X0
& ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) ) )
=> ( ssList(sK1)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| X2 = X4
| ~ ssList(X4) ) )
& sK1 = X2
& X1 = X3
& ( nil != X3
| nil = X2 )
& ( ( nil = X1
& nil != sK1 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = X1
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| X2 = X4
| ~ ssList(X4) ) )
& sK1 = X2
& X1 = X3
& ( nil != X3
| nil = X2 )
& ( ( nil = X1
& nil != sK1 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = X1
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| X2 = X4
| ~ ssList(X4) ) )
& sK1 = X2
& sK2 = X3
& ( nil != X3
| nil = X2 )
& ( ( nil = sK2
& nil != sK1 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = sK2
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X2] :
( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| X2 = X4
| ~ ssList(X4) ) )
& sK1 = X2
& sK2 = X3
& ( nil != X3
| nil = X2 )
& ( ( nil = sK2
& nil != sK1 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = sK2
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) ) ) )
& ssList(X2) )
=> ( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| sK3 = X4
| ~ ssList(X4) ) )
& sK3 = sK1
& sK2 = X3
& ( nil != X3
| nil = sK3 )
& ( ( nil = sK2
& nil != sK1 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = sK2
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) ) ) )
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f143,plain,
( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| sK3 = X4
| ~ ssList(X4) ) )
& sK3 = sK1
& sK2 = X3
& ( nil != X3
| nil = sK3 )
& ( ( nil = sK2
& nil != sK1 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = sK2
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) ) ) )
=> ( ssList(sK4)
& ( ~ neq(sK4,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,sK4)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| hd(sK4) != X7 )
| ~ ssList(X6)
| tl(sK4) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| sK3 = X4
| ~ ssList(X4) ) )
& sK3 = sK1
& sK2 = sK4
& ( nil != sK4
| nil = sK3 )
& ( ( nil = sK2
& nil != sK1 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = sK2
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f144,plain,
( ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = sK2
& app(X9,cons(X8,nil)) != sK1
& ssList(X9) ) )
=> ( ssItem(sK5)
& ? [X9] :
( sK2 = app(cons(sK5,nil),X9)
& app(X9,cons(sK5,nil)) != sK1
& ssList(X9) ) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
( ? [X9] :
( sK2 = app(cons(sK5,nil),X9)
& app(X9,cons(sK5,nil)) != sK1
& ssList(X9) )
=> ( sK2 = app(cons(sK5,nil),sK6)
& app(sK6,cons(sK5,nil)) != sK1
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& ( ~ neq(X3,nil)
| ! [X4] :
( ! [X5] :
( ! [X6] :
( ~ neq(nil,X3)
| ! [X7] :
( ~ ssItem(X7)
| ~ neq(nil,X3)
| cons(X7,nil) != X6
| hd(X3) != X7 )
| ~ ssList(X6)
| tl(X3) != X5
| app(X5,X6) != X4 )
| ~ ssList(X5) )
| X2 = X4
| ~ ssList(X4) ) )
& X0 = X2
& X1 = X3
& ( nil != X3
| nil = X2 )
& ( ( nil = X1
& nil != X0 )
| ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = X1
& app(X9,cons(X8,nil)) != X0
& ssList(X9) ) ) ) )
& ssList(X2) )
& ssList(X1) ) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X1
| app(X9,cons(X8,nil)) = X0 ) )
& ( nil = X0
| nil != X1 ) )
| ~ ssList(X3)
| ( nil = X3
& nil != X2 )
| ( ? [X4] :
( ssList(X4)
& X2 != X4
& ? [X5] :
( ? [X6] :
( ssList(X6)
& ? [X7] :
( ssItem(X7)
& hd(X3) = X7
& cons(X7,nil) = X6
& neq(nil,X3) )
& tl(X3) = X5
& neq(nil,X3)
& app(X5,X6) = X4 )
& ssList(X5) ) )
& neq(X3,nil) )
| X0 != X2 ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X1 != X3
| ( ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ~ ssList(X9)
| app(cons(X8,nil),X9) != X1
| app(X9,cons(X8,nil)) = X0 ) )
& ( nil = X0
| nil != X1 ) )
| ~ ssList(X3)
| ( nil = X3
& nil != X2 )
| ( ? [X4] :
( ssList(X4)
& X2 != X4
& ? [X5] :
( ? [X6] :
( ssList(X6)
& ? [X7] :
( ssItem(X7)
& hd(X3) = X7
& cons(X7,nil) = X6
& neq(nil,X3) )
& tl(X3) = X5
& neq(nil,X3)
& app(X5,X6) = X4 )
& ssList(X5) ) )
& neq(X3,nil) )
| X0 != X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f411,plain,
( ~ ssList(sK4)
| ~ ssList(nil)
| nil = sK4
| spl12_4 ),
inference(resolution,[],[f249,f203]) ).
fof(f203,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != 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/benchmark/theBenchmark.p',ax15) ).
fof(f249,plain,
( ~ neq(nil,sK4)
| spl12_4 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl12_4
<=> neq(nil,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f410,plain,
( spl12_2
| spl12_8
| ~ spl12_14 ),
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f409,plain,
( $false
| spl12_2
| spl12_8
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f408,f177]) ).
fof(f408,plain,
( ~ ssList(sK4)
| spl12_2
| spl12_8
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f407,f297]) ).
fof(f407,plain,
( ~ ssList(nil)
| ~ ssList(sK4)
| spl12_2
| spl12_8 ),
inference(subsumption_resolution,[],[f395,f265]) ).
fof(f395,plain,
( nil = sK4
| ~ ssList(nil)
| ~ ssList(sK4)
| spl12_2 ),
inference(resolution,[],[f241,f203]) ).
fof(f241,plain,
( ~ neq(sK4,nil)
| spl12_2 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl12_2
<=> neq(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f394,plain,
( spl12_5
| spl12_8 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| spl12_5
| spl12_8 ),
inference(subsumption_resolution,[],[f392,f177]) ).
fof(f392,plain,
( ~ ssList(sK4)
| spl12_5
| spl12_8 ),
inference(subsumption_resolution,[],[f391,f265]) ).
fof(f391,plain,
( nil = sK4
| ~ ssList(sK4)
| spl12_5 ),
inference(resolution,[],[f253,f186]) ).
fof(f186,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ ssList(X0)
| ssItem(hd(X0))
| nil = X0 ),
inference(flattening,[],[f99]) ).
fof(f99,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/benchmark/theBenchmark.p',ax22) ).
fof(f253,plain,
( ~ ssItem(hd(sK4))
| spl12_5 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl12_5
<=> ssItem(hd(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f390,plain,
( ~ spl12_5
| spl12_7
| ~ spl12_14 ),
inference(avatar_split_clause,[],[f389,f296,f259,f251]) ).
fof(f259,plain,
( spl12_7
<=> ssList(cons(hd(sK4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f389,plain,
( ~ ssItem(hd(sK4))
| spl12_7
| ~ spl12_14 ),
inference(subsumption_resolution,[],[f388,f297]) ).
fof(f388,plain,
( ~ ssItem(hd(sK4))
| ~ ssList(nil)
| spl12_7 ),
inference(resolution,[],[f261,f185]) ).
fof(f185,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f261,plain,
( ~ ssList(cons(hd(sK4),nil))
| spl12_7 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f387,plain,
( spl12_3
| spl12_8 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| spl12_3
| spl12_8 ),
inference(subsumption_resolution,[],[f385,f265]) ).
fof(f385,plain,
( nil = sK4
| spl12_3 ),
inference(subsumption_resolution,[],[f384,f177]) ).
fof(f384,plain,
( ~ ssList(sK4)
| nil = sK4
| spl12_3 ),
inference(resolution,[],[f245,f192]) ).
fof(f192,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(flattening,[],[f129]) ).
fof(f129,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/benchmark/theBenchmark.p',ax24) ).
fof(f245,plain,
( ~ ssList(tl(sK4))
| spl12_3 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl12_3
<=> ssList(tl(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f383,plain,
( ~ spl12_3
| ~ spl12_7
| spl12_6 ),
inference(avatar_split_clause,[],[f382,f255,f259,f243]) ).
fof(f255,plain,
( spl12_6
<=> ssList(app(tl(sK4),cons(hd(sK4),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f382,plain,
( ~ ssList(cons(hd(sK4),nil))
| ~ ssList(tl(sK4))
| spl12_6 ),
inference(resolution,[],[f257,f197]) ).
fof(f197,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f257,plain,
( ~ ssList(app(tl(sK4),cons(hd(sK4),nil)))
| spl12_6 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f379,plain,
( ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| spl12_12
| ~ spl12_18
| ~ spl12_19 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| spl12_12
| ~ spl12_18
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f377,f358]) ).
fof(f358,plain,
( ssList(cons(sK5,nil))
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl12_19
<=> ssList(cons(sK5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f377,plain,
( ~ ssList(cons(sK5,nil))
| ~ spl12_8
| ~ spl12_9
| ~ spl12_11
| spl12_12
| ~ spl12_18
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f370,f369]) ).
fof(f369,plain,
( nil != cons(sK5,nil)
| ~ spl12_11
| spl12_12
| ~ spl12_18
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f368,f358]) ).
fof(f368,plain,
( ~ ssList(cons(sK5,nil))
| nil != cons(sK5,nil)
| ~ spl12_11
| spl12_12
| ~ spl12_18 ),
inference(superposition,[],[f365,f158]) ).
fof(f158,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,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/benchmark/theBenchmark.p',ax28) ).
fof(f365,plain,
( nil != app(nil,cons(sK5,nil))
| ~ spl12_11
| spl12_12
| ~ spl12_18 ),
inference(backward_demodulation,[],[f310,f355]) ).
fof(f355,plain,
( nil = sK6
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f353,plain,
( spl12_18
<=> nil = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f310,plain,
( nil != app(sK6,cons(sK5,nil))
| ~ spl12_11
| spl12_12 ),
inference(forward_demodulation,[],[f284,f279]) ).
fof(f279,plain,
( nil = sK1
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl12_11
<=> nil = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f370,plain,
( nil = cons(sK5,nil)
| ~ ssList(cons(sK5,nil))
| ~ spl12_8
| ~ spl12_9
| ~ spl12_18 ),
inference(superposition,[],[f366,f195]) ).
fof(f195,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,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/benchmark/theBenchmark.p',ax84) ).
fof(f366,plain,
( nil = app(cons(sK5,nil),nil)
| ~ spl12_8
| ~ spl12_9
| ~ spl12_18 ),
inference(backward_demodulation,[],[f309,f355]) ).
fof(f309,plain,
( nil = app(cons(sK5,nil),sK6)
| ~ spl12_8
| ~ spl12_9 ),
inference(forward_demodulation,[],[f270,f266]) ).
fof(f266,plain,
( nil = sK4
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f364,plain,
( ~ spl12_10
| ~ spl12_14
| spl12_19 ),
inference(avatar_contradiction_clause,[],[f363]) ).
fof(f363,plain,
( $false
| ~ spl12_10
| ~ spl12_14
| spl12_19 ),
inference(subsumption_resolution,[],[f362,f297]) ).
fof(f362,plain,
( ~ ssList(nil)
| ~ spl12_10
| spl12_19 ),
inference(subsumption_resolution,[],[f361,f275]) ).
fof(f361,plain,
( ~ ssItem(sK5)
| ~ ssList(nil)
| spl12_19 ),
inference(resolution,[],[f359,f185]) ).
fof(f359,plain,
( ~ ssList(cons(sK5,nil))
| spl12_19 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl12_18
| ~ spl12_19
| ~ spl12_8
| ~ spl12_9
| ~ spl12_13 ),
inference(avatar_split_clause,[],[f351,f289,f268,f264,f357,f353]) ).
fof(f351,plain,
( ~ ssList(cons(sK5,nil))
| nil = sK6
| ~ spl12_8
| ~ spl12_9
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f350,f291]) ).
fof(f350,plain,
( ~ ssList(cons(sK5,nil))
| nil = sK6
| ~ ssList(sK6)
| ~ spl12_8
| ~ spl12_9 ),
inference(trivial_inequality_removal,[],[f345]) ).
fof(f345,plain,
( ~ ssList(sK6)
| nil != nil
| nil = sK6
| ~ ssList(cons(sK5,nil))
| ~ spl12_8
| ~ spl12_9 ),
inference(superposition,[],[f183,f309]) ).
fof(f183,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ! [X1] :
( ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f312,plain,
spl12_14,
inference(avatar_split_clause,[],[f189,f296]) ).
fof(f189,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f304,plain,
( spl12_9
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f219,f278,f268]) ).
fof(f219,plain,
( nil != sK1
| app(cons(sK5,nil),sK6) = sK4 ),
inference(definition_unfolding,[],[f167,f174]) ).
fof(f174,plain,
sK2 = sK4,
inference(cnf_transformation,[],[f146]) ).
fof(f167,plain,
( nil != sK1
| sK2 = app(cons(sK5,nil),sK6) ),
inference(cnf_transformation,[],[f146]) ).
fof(f294,plain,
( spl12_8
| spl12_13 ),
inference(avatar_split_clause,[],[f218,f289,f264]) ).
fof(f218,plain,
( ssList(sK6)
| nil = sK4 ),
inference(definition_unfolding,[],[f169,f174]) ).
fof(f169,plain,
( nil = sK2
| ssList(sK6) ),
inference(cnf_transformation,[],[f146]) ).
fof(f293,plain,
( ~ spl12_11
| spl12_10 ),
inference(avatar_split_clause,[],[f168,f273,f278]) ).
fof(f168,plain,
( ssItem(sK5)
| nil != sK1 ),
inference(cnf_transformation,[],[f146]) ).
fof(f292,plain,
( ~ spl12_11
| spl12_13 ),
inference(avatar_split_clause,[],[f165,f289,f278]) ).
fof(f165,plain,
( ssList(sK6)
| nil != sK1 ),
inference(cnf_transformation,[],[f146]) ).
fof(f287,plain,
( ~ spl12_12
| spl12_8 ),
inference(avatar_split_clause,[],[f217,f264,f282]) ).
fof(f217,plain,
( nil = sK4
| app(sK6,cons(sK5,nil)) != sK1 ),
inference(definition_unfolding,[],[f170,f174]) ).
fof(f170,plain,
( nil = sK2
| app(sK6,cons(sK5,nil)) != sK1 ),
inference(cnf_transformation,[],[f146]) ).
fof(f286,plain,
( ~ spl12_8
| spl12_11 ),
inference(avatar_split_clause,[],[f214,f278,f264]) ).
fof(f214,plain,
( nil = sK1
| nil != sK4 ),
inference(definition_unfolding,[],[f173,f175]) ).
fof(f175,plain,
sK3 = sK1,
inference(cnf_transformation,[],[f146]) ).
fof(f173,plain,
( nil != sK4
| nil = sK3 ),
inference(cnf_transformation,[],[f146]) ).
fof(f285,plain,
( ~ spl12_11
| ~ spl12_12 ),
inference(avatar_split_clause,[],[f166,f282,f278]) ).
fof(f166,plain,
( app(sK6,cons(sK5,nil)) != sK1
| nil != sK1 ),
inference(cnf_transformation,[],[f146]) ).
fof(f276,plain,
( spl12_8
| spl12_10 ),
inference(avatar_split_clause,[],[f215,f273,f264]) ).
fof(f215,plain,
( ssItem(sK5)
| nil = sK4 ),
inference(definition_unfolding,[],[f172,f174]) ).
fof(f172,plain,
( nil = sK2
| ssItem(sK5) ),
inference(cnf_transformation,[],[f146]) ).
fof(f271,plain,
( spl12_8
| spl12_9 ),
inference(avatar_split_clause,[],[f216,f268,f264]) ).
fof(f216,plain,
( app(cons(sK5,nil),sK6) = sK4
| nil = sK4 ),
inference(definition_unfolding,[],[f171,f174,f174]) ).
fof(f171,plain,
( nil = sK2
| sK2 = app(cons(sK5,nil),sK6) ),
inference(cnf_transformation,[],[f146]) ).
fof(f262,plain,
( spl12_1
| ~ spl12_2
| ~ spl12_3
| ~ spl12_4
| ~ spl12_5
| ~ spl12_6
| ~ spl12_7 ),
inference(avatar_split_clause,[],[f233,f259,f255,f251,f247,f243,f239,f235]) ).
fof(f233,plain,
( ~ ssList(cons(hd(sK4),nil))
| ~ ssList(app(tl(sK4),cons(hd(sK4),nil)))
| ~ ssItem(hd(sK4))
| ~ neq(nil,sK4)
| ~ ssList(tl(sK4))
| ~ neq(sK4,nil)
| app(tl(sK4),cons(hd(sK4),nil)) = sK1 ),
inference(duplicate_literal_removal,[],[f226]) ).
fof(f226,plain,
( ~ ssList(tl(sK4))
| app(tl(sK4),cons(hd(sK4),nil)) = sK1
| ~ neq(nil,sK4)
| ~ ssList(cons(hd(sK4),nil))
| ~ neq(sK4,nil)
| ~ ssItem(hd(sK4))
| ~ neq(nil,sK4)
| ~ ssList(app(tl(sK4),cons(hd(sK4),nil))) ),
inference(equality_resolution,[],[f225]) ).
fof(f225,plain,
! [X4] :
( ~ neq(sK4,nil)
| ~ neq(nil,sK4)
| ~ ssItem(hd(sK4))
| ~ neq(nil,sK4)
| ~ ssList(cons(hd(sK4),nil))
| app(tl(sK4),cons(hd(sK4),nil)) != X4
| ~ ssList(tl(sK4))
| sK1 = X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f224]) ).
fof(f224,plain,
! [X4,X5] :
( ~ neq(sK4,nil)
| ~ neq(nil,sK4)
| ~ ssItem(hd(sK4))
| ~ neq(nil,sK4)
| ~ ssList(cons(hd(sK4),nil))
| tl(sK4) != X5
| app(X5,cons(hd(sK4),nil)) != X4
| ~ ssList(X5)
| sK1 = X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f223]) ).
fof(f223,plain,
! [X7,X4,X5] :
( ~ neq(sK4,nil)
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| ~ neq(nil,sK4)
| hd(sK4) != X7
| ~ ssList(cons(X7,nil))
| tl(sK4) != X5
| app(X5,cons(X7,nil)) != X4
| ~ ssList(X5)
| sK1 = X4
| ~ ssList(X4) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X6,X7,X4,X5] :
( ~ neq(sK4,nil)
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| hd(sK4) != X7
| ~ ssList(X6)
| tl(sK4) != X5
| app(X5,X6) != X4
| ~ ssList(X5)
| sK1 = X4
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f176,f175]) ).
fof(f176,plain,
! [X6,X7,X4,X5] :
( ~ neq(sK4,nil)
| ~ neq(nil,sK4)
| ~ ssItem(X7)
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| hd(sK4) != X7
| ~ ssList(X6)
| tl(sK4) != X5
| app(X5,X6) != X4
| ~ ssList(X5)
| sK3 = X4
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f146]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC314+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 300
% 0.19/0.34 % DateTime : Tue Aug 30 19:00:46 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.20/0.47 % (18021)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.48 % (18030)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.48 % (18030)Instruction limit reached!
% 0.20/0.48 % (18030)------------------------------
% 0.20/0.48 % (18030)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48 % (18030)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48 % (18030)Termination reason: Unknown
% 0.20/0.48 % (18030)Termination phase: Preprocessing 2
% 0.20/0.48
% 0.20/0.48 % (18030)Memory used [KB]: 1535
% 0.20/0.48 % (18030)Time elapsed: 0.004 s
% 0.20/0.48 % (18030)Instructions burned: 2 (million)
% 0.20/0.48 % (18030)------------------------------
% 0.20/0.48 % (18030)------------------------------
% 0.20/0.49 % (18021)Instruction limit reached!
% 0.20/0.49 % (18021)------------------------------
% 0.20/0.49 % (18021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49 % (18021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49 % (18021)Termination reason: Unknown
% 0.20/0.49 % (18021)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (18021)Memory used [KB]: 6652
% 0.20/0.49 % (18021)Time elapsed: 0.095 s
% 0.20/0.49 % (18021)Instructions burned: 34 (million)
% 0.20/0.49 % (18021)------------------------------
% 0.20/0.49 % (18021)------------------------------
% 0.20/0.50 % (18012)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51 % (18038)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (18026)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (18019)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.51 % (18026)Instruction limit reached!
% 0.20/0.51 % (18026)------------------------------
% 0.20/0.51 % (18026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (18026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (18026)Termination reason: Unknown
% 0.20/0.51 % (18026)Termination phase: Preprocessing 3
% 0.20/0.51
% 0.20/0.51 % (18026)Memory used [KB]: 1663
% 0.20/0.51 % (18026)Time elapsed: 0.003 s
% 0.20/0.51 % (18026)Instructions burned: 4 (million)
% 0.20/0.51 % (18026)------------------------------
% 0.20/0.51 % (18026)------------------------------
% 0.20/0.52 % (18034)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.52 % (18027)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (18027)Instruction limit reached!
% 0.20/0.52 % (18027)------------------------------
% 0.20/0.52 % (18027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (18027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (18027)Termination reason: Unknown
% 0.20/0.52 % (18027)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (18027)Memory used [KB]: 1791
% 0.20/0.52 % (18027)Time elapsed: 0.004 s
% 0.20/0.52 % (18027)Instructions burned: 8 (million)
% 0.20/0.52 % (18027)------------------------------
% 0.20/0.52 % (18027)------------------------------
% 0.20/0.52 % (18016)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (18013)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53 % (18022)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (18041)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (18037)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.53 % (18015)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (18022)Refutation not found, incomplete strategy% (18022)------------------------------
% 0.20/0.53 % (18022)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (18022)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (18022)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (18022)Memory used [KB]: 6268
% 0.20/0.53 % (18022)Time elapsed: 0.135 s
% 0.20/0.53 % (18022)Instructions burned: 9 (million)
% 0.20/0.53 % (18022)------------------------------
% 0.20/0.53 % (18022)------------------------------
% 0.20/0.53 % (18017)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.53 % (18018)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (18036)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (18014)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (18014)Instruction limit reached!
% 0.20/0.54 % (18014)------------------------------
% 0.20/0.54 % (18014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18014)Termination reason: Unknown
% 0.20/0.54 % (18014)Termination phase: Preprocessing 3
% 0.20/0.54
% 0.20/0.54 % (18014)Memory used [KB]: 1663
% 0.20/0.54 % (18014)Time elapsed: 0.004 s
% 0.20/0.54 % (18014)Instructions burned: 4 (million)
% 0.20/0.54 % (18014)------------------------------
% 0.20/0.54 % (18014)------------------------------
% 0.20/0.54 % (18029)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (18020)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (18029)Instruction limit reached!
% 0.20/0.54 % (18029)------------------------------
% 0.20/0.54 % (18029)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (18029)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (18029)Termination reason: Unknown
% 0.20/0.54 % (18029)Termination phase: Preprocessing 2
% 0.20/0.54
% 0.20/0.54 % (18029)Memory used [KB]: 1535
% 0.20/0.54 % (18029)Time elapsed: 0.002 s
% 0.20/0.54 % (18029)Instructions burned: 3 (million)
% 0.20/0.54 % (18029)------------------------------
% 0.20/0.54 % (18029)------------------------------
% 0.20/0.54 % (18033)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (18039)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (18032)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.55 % (18023)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (18028)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (18031)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.55 % (18025)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (18035)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.55 % (18013)Instruction limit reached!
% 0.20/0.55 % (18013)------------------------------
% 0.20/0.55 % (18013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18013)Termination reason: Unknown
% 0.20/0.55 % (18013)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (18013)Memory used [KB]: 6396
% 0.20/0.55 % (18013)Time elapsed: 0.132 s
% 0.20/0.55 % (18013)Instructions burned: 13 (million)
% 0.20/0.55 % (18013)------------------------------
% 0.20/0.55 % (18013)------------------------------
% 0.20/0.55 % (18016)Instruction limit reached!
% 0.20/0.55 % (18016)------------------------------
% 0.20/0.55 % (18016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (18016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (18016)Termination reason: Unknown
% 0.20/0.55 % (18016)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (18016)Memory used [KB]: 6268
% 0.20/0.55 % (18016)Time elapsed: 0.159 s
% 0.20/0.55 % (18016)Instructions burned: 13 (million)
% 0.20/0.55 % (18016)------------------------------
% 0.20/0.55 % (18016)------------------------------
% 0.20/0.55 % (18040)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.56 % (18040)Instruction limit reached!
% 0.20/0.56 % (18040)------------------------------
% 0.20/0.56 % (18040)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (18040)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (18040)Termination reason: Unknown
% 0.20/0.56 % (18040)Termination phase: Function definition elimination
% 0.20/0.56
% 0.20/0.56 % (18040)Memory used [KB]: 1791
% 0.20/0.56 % (18040)Time elapsed: 0.006 s
% 0.20/0.56 % (18040)Instructions burned: 8 (million)
% 0.20/0.56 % (18040)------------------------------
% 0.20/0.56 % (18040)------------------------------
% 0.20/0.56 % (18024)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.56 % (18017)Instruction limit reached!
% 0.20/0.56 % (18017)------------------------------
% 0.20/0.56 % (18017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (18017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (18017)Termination reason: Unknown
% 0.20/0.56 % (18017)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (18017)Memory used [KB]: 1663
% 0.20/0.56 % (18017)Time elapsed: 0.138 s
% 0.20/0.56 % (18017)Instructions burned: 15 (million)
% 0.20/0.56 % (18017)------------------------------
% 0.20/0.56 % (18017)------------------------------
% 0.20/0.56 % (18018)First to succeed.
% 0.20/0.56 % (18018)Refutation found. Thanks to Tanya!
% 0.20/0.56 % SZS status Theorem for theBenchmark
% 0.20/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.71/0.56 % (18018)------------------------------
% 1.71/0.56 % (18018)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.56 % (18018)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.56 % (18018)Termination reason: Refutation
% 1.71/0.56
% 1.71/0.56 % (18018)Memory used [KB]: 6268
% 1.71/0.56 % (18018)Time elapsed: 0.138 s
% 1.71/0.56 % (18018)Instructions burned: 15 (million)
% 1.71/0.56 % (18018)------------------------------
% 1.71/0.56 % (18018)------------------------------
% 1.71/0.56 % (18011)Success in time 0.209 s
%------------------------------------------------------------------------------