TSTP Solution File: SWC416+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC416+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 : n016.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 18:41:04 EDT 2022
% Result : Theorem 1.47s 0.55s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 24
% Syntax : Number of formulae : 108 ( 10 unt; 0 def)
% Number of atoms : 545 ( 157 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 721 ( 284 ~; 266 |; 125 &)
% ( 12 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 147 ( 103 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f416,plain,
$false,
inference(avatar_sat_refutation,[],[f221,f244,f250,f260,f261,f271,f274,f287,f380,f404,f415]) ).
fof(f415,plain,
( ~ spl10_13
| ~ spl10_2
| ~ spl10_8 ),
inference(avatar_split_clause,[],[f414,f246,f218,f327]) ).
fof(f327,plain,
( spl10_13
<=> nil = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f218,plain,
( spl10_2
<=> ssItem(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f246,plain,
( spl10_8
<=> app(cons(sK7,nil),sK3) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_8])]) ).
fof(f414,plain,
( nil != sK4
| ~ spl10_2
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f413,f220]) ).
fof(f220,plain,
( ssItem(sK7)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f413,plain,
( nil != sK4
| ~ ssItem(sK7)
| ~ spl10_2
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f364,f155]) ).
fof(f155,plain,
ssList(sK3),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ssList(sK4)
& ssList(sK5)
& sK5 = sK3
& ( ( ssItem(sK7)
& app(cons(sK7,nil),sK5) = sK6
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| sK4 != X5 )
& neq(sK4,nil) )
| ( neq(sK4,nil)
& ~ neq(sK6,nil) ) )
& ssList(sK6)
& sK6 = sK4
& ssList(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6,sK7])],[f108,f138,f137,f136,f135,f134]) ).
fof(f134,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),X2) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(X1) != X7
| ~ neq(nil,X1)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,X0) != X5 )
| X1 != X5 )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& X1 = X3 ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK3 = X2
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),X2) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(X1) != X7
| ~ neq(nil,X1)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| X1 != X5 )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& X1 = X3 ) ) )
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK3 = X2
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),X2) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(X1) != X7
| ~ neq(nil,X1)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| X1 != X5 )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& X1 = X3 ) ) )
=> ( ssList(sK4)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( sK3 = X2
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),X2) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| sK4 != X5 )
& neq(sK4,nil) )
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK4 = X3 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK3 = X2
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),X2) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| sK4 != X5 )
& neq(sK4,nil) )
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK4 = X3 ) )
=> ( ssList(sK5)
& ? [X3] :
( sK5 = sK3
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),sK5) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| sK4 != X5 )
& neq(sK4,nil) )
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK4 = X3 ) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X3] :
( sK5 = sK3
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),sK5) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| sK4 != X5 )
& neq(sK4,nil) )
| ( neq(sK4,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& sK4 = X3 )
=> ( sK5 = sK3
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),sK5) = sK6 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,sK3) != X5 )
| sK4 != X5 )
& neq(sK4,nil) )
| ( neq(sK4,nil)
& ~ neq(sK6,nil) ) )
& ssList(sK6)
& sK6 = sK4 ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),sK5) = sK6 )
=> ( ssItem(sK7)
& app(cons(sK7,nil),sK5) = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),X2) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(X1) != X7
| ~ neq(nil,X1)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,X0) != X5 )
| X1 != X5 )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& ssList(X3)
& X1 = X3 ) ) )
& ssList(X0) ),
inference(flattening,[],[f107]) ).
fof(f107,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( X0 = X2
& X1 = X3
& ( ( ? [X4] :
( ssItem(X4)
& app(cons(X4,nil),X2) = X3 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( hd(X1) != X7
| ~ neq(nil,X1)
| cons(X7,nil) != X6
| ~ ssItem(X7) )
| app(X6,X0) != X5 )
| X1 != X5 )
& neq(X1,nil) )
| ( neq(X1,nil)
& ~ neq(X3,nil) ) )
& 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)
=> ( X0 != X2
| X1 != X3
| ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ! [X4] :
( ssItem(X4)
=> app(cons(X4,nil),X2) != X3 )
| ? [X5] :
( ? [X6] :
( app(X6,X0) = X5
& ? [X7] :
( hd(X1) = X7
& neq(nil,X1)
& cons(X7,nil) = X6
& ssItem(X7) )
& ssList(X6) )
& ssList(X5)
& X1 = X5 )
| ~ neq(X1,nil) ) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( ! [X7] :
( ssItem(X7)
=> app(cons(X7,nil),X2) != X3 )
| ~ neq(X1,nil)
| ? [X4] :
( ? [X5] :
( app(X5,X0) = X4
& ssList(X5)
& ? [X6] :
( neq(nil,X1)
& cons(X6,nil) = X5
& ssItem(X6)
& hd(X1) = X6 ) )
& ssList(X4)
& X1 = X4 ) )
& ( neq(X3,nil)
| ~ neq(X1,nil) ) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( ! [X7] :
( ssItem(X7)
=> app(cons(X7,nil),X2) != X3 )
| ~ neq(X1,nil)
| ? [X4] :
( ? [X5] :
( app(X5,X0) = X4
& ssList(X5)
& ? [X6] :
( neq(nil,X1)
& cons(X6,nil) = X5
& ssItem(X6)
& hd(X1) = X6 ) )
& ssList(X4)
& X1 = X4 ) )
& ( neq(X3,nil)
| ~ neq(X1,nil) ) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f364,plain,
( ~ ssList(sK3)
| nil != sK4
| ~ ssItem(sK7)
| ~ spl10_2
| ~ spl10_8 ),
inference(superposition,[],[f183,f357]) ).
fof(f357,plain,
( cons(sK7,sK3) = sK4
| ~ spl10_2
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f356,f155]) ).
fof(f356,plain,
( ~ ssList(sK3)
| cons(sK7,sK3) = sK4
| ~ spl10_2
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f346,f220]) ).
fof(f346,plain,
( cons(sK7,sK3) = sK4
| ~ ssItem(sK7)
| ~ ssList(sK3)
| ~ spl10_8 ),
inference(superposition,[],[f188,f248]) ).
fof(f248,plain,
( app(cons(sK7,nil),sK3) = sK4
| ~ spl10_8 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f188,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,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/benchmark/theBenchmark.p',ax81) ).
fof(f183,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f404,plain,
( spl10_13
| spl10_6
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f403,f252,f236,f327]) ).
fof(f236,plain,
( spl10_6
<=> neq(nil,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f252,plain,
( spl10_9
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f403,plain,
( nil = sK4
| spl10_6
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f394,f253]) ).
fof(f253,plain,
( ssList(nil)
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f394,plain,
( ~ ssList(nil)
| nil = sK4
| spl10_6 ),
inference(subsumption_resolution,[],[f383,f168]) ).
fof(f168,plain,
ssList(sK4),
inference(cnf_transformation,[],[f139]) ).
fof(f383,plain,
( ~ ssList(sK4)
| ~ ssList(nil)
| nil = sK4
| spl10_6 ),
inference(resolution,[],[f238,f146]) ).
fof(f146,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f238,plain,
( ~ neq(nil,sK4)
| spl10_6 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f380,plain,
( ~ spl10_2
| spl10_4
| ~ spl10_8 ),
inference(avatar_contradiction_clause,[],[f379]) ).
fof(f379,plain,
( $false
| ~ spl10_2
| spl10_4
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f370,f248]) ).
fof(f370,plain,
( app(cons(sK7,nil),sK3) != sK4
| ~ spl10_2
| spl10_4
| ~ spl10_8 ),
inference(backward_demodulation,[],[f230,f367]) ).
fof(f367,plain,
( sK7 = hd(sK4)
| ~ spl10_2
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f366,f155]) ).
fof(f366,plain,
( sK7 = hd(sK4)
| ~ ssList(sK3)
| ~ spl10_2
| ~ spl10_8 ),
inference(subsumption_resolution,[],[f362,f220]) ).
fof(f362,plain,
( ~ ssItem(sK7)
| sK7 = hd(sK4)
| ~ ssList(sK3)
| ~ spl10_2
| ~ spl10_8 ),
inference(superposition,[],[f182,f357]) ).
fof(f182,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,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(f230,plain,
( app(cons(hd(sK4),nil),sK3) != sK4
| spl10_4 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f228,plain,
( spl10_4
<=> app(cons(hd(sK4),nil),sK3) = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f287,plain,
( ~ spl10_1
| spl10_5
| ~ spl10_9 ),
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| ~ spl10_1
| spl10_5
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f285,f253]) ).
fof(f285,plain,
( ~ ssList(nil)
| ~ spl10_1
| spl10_5 ),
inference(resolution,[],[f281,f209]) ).
fof(f209,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f199]) ).
fof(f199,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f281,plain,
( neq(nil,nil)
| ~ spl10_1
| spl10_5 ),
inference(backward_demodulation,[],[f215,f276]) ).
fof(f276,plain,
( nil = sK4
| spl10_5 ),
inference(subsumption_resolution,[],[f275,f168]) ).
fof(f275,plain,
( ~ ssList(sK4)
| nil = sK4
| spl10_5 ),
inference(resolution,[],[f234,f170]) ).
fof(f170,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(flattening,[],[f109]) ).
fof(f109,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(f234,plain,
( ~ ssItem(hd(sK4))
| spl10_5 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f232,plain,
( spl10_5
<=> ssItem(hd(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f215,plain,
( neq(sK4,nil)
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl10_1
<=> neq(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f274,plain,
( ~ spl10_5
| spl10_7
| ~ spl10_9 ),
inference(avatar_split_clause,[],[f273,f252,f240,f232]) ).
fof(f240,plain,
( spl10_7
<=> ssList(cons(hd(sK4),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f273,plain,
( ~ ssItem(hd(sK4))
| spl10_7
| ~ spl10_9 ),
inference(subsumption_resolution,[],[f272,f253]) ).
fof(f272,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK4))
| spl10_7 ),
inference(resolution,[],[f190,f242]) ).
fof(f242,plain,
( ~ ssList(cons(hd(sK4),nil))
| spl10_7 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f190,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,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(f271,plain,
( ~ spl10_7
| spl10_3 ),
inference(avatar_split_clause,[],[f270,f224,f240]) ).
fof(f224,plain,
( spl10_3
<=> ssList(app(cons(hd(sK4),nil),sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f270,plain,
( ~ ssList(cons(hd(sK4),nil))
| spl10_3 ),
inference(subsumption_resolution,[],[f262,f155]) ).
fof(f262,plain,
( ~ ssList(cons(hd(sK4),nil))
| ~ ssList(sK3)
| spl10_3 ),
inference(resolution,[],[f189,f226]) ).
fof(f226,plain,
( ~ ssList(app(cons(hd(sK4),nil),sK3))
| spl10_3 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f189,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,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(f261,plain,
spl10_9,
inference(avatar_split_clause,[],[f169,f252]) ).
fof(f169,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f260,plain,
( ~ spl10_1
| spl10_8 ),
inference(avatar_split_clause,[],[f195,f246,f214]) ).
fof(f195,plain,
( app(cons(sK7,nil),sK3) = sK4
| ~ neq(sK4,nil) ),
inference(definition_unfolding,[],[f162,f166,f156,f156]) ).
fof(f156,plain,
sK6 = sK4,
inference(cnf_transformation,[],[f139]) ).
fof(f166,plain,
sK5 = sK3,
inference(cnf_transformation,[],[f139]) ).
fof(f162,plain,
( app(cons(sK7,nil),sK5) = sK6
| ~ neq(sK6,nil) ),
inference(cnf_transformation,[],[f139]) ).
fof(f250,plain,
spl10_1,
inference(avatar_split_clause,[],[f212,f214]) ).
fof(f212,plain,
neq(sK4,nil),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f159,plain,
( neq(sK4,nil)
| neq(sK4,nil) ),
inference(cnf_transformation,[],[f139]) ).
fof(f244,plain,
( ~ spl10_6
| ~ spl10_3
| ~ spl10_7
| ~ spl10_1
| ~ spl10_4
| ~ spl10_5 ),
inference(avatar_split_clause,[],[f205,f232,f228,f214,f240,f224,f236]) ).
fof(f205,plain,
( ~ ssItem(hd(sK4))
| app(cons(hd(sK4),nil),sK3) != sK4
| ~ neq(sK4,nil)
| ~ ssList(cons(hd(sK4),nil))
| ~ ssList(app(cons(hd(sK4),nil),sK3))
| ~ neq(nil,sK4) ),
inference(equality_resolution,[],[f204]) ).
fof(f204,plain,
! [X5] :
( ~ ssList(X5)
| ~ ssList(cons(hd(sK4),nil))
| ~ neq(nil,sK4)
| ~ ssItem(hd(sK4))
| app(cons(hd(sK4),nil),sK3) != X5
| sK4 != X5
| ~ neq(sK4,nil) ),
inference(equality_resolution,[],[f203]) ).
fof(f203,plain,
! [X6,X5] :
( ~ ssList(X5)
| ~ ssList(X6)
| ~ neq(nil,sK4)
| cons(hd(sK4),nil) != X6
| ~ ssItem(hd(sK4))
| app(X6,sK3) != X5
| sK4 != X5
| ~ neq(sK4,nil) ),
inference(equality_resolution,[],[f196]) ).
fof(f196,plain,
! [X6,X7,X5] :
( ~ ssList(X5)
| ~ ssList(X6)
| hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X6,sK3) != X5
| sK4 != X5
| ~ neq(sK4,nil) ),
inference(definition_unfolding,[],[f160,f156]) ).
fof(f160,plain,
! [X6,X7,X5] :
( ~ ssList(X5)
| ~ ssList(X6)
| hd(sK4) != X7
| ~ neq(nil,sK4)
| cons(X7,nil) != X6
| ~ ssItem(X7)
| app(X6,sK3) != X5
| sK4 != X5
| ~ neq(sK6,nil) ),
inference(cnf_transformation,[],[f139]) ).
fof(f221,plain,
( ~ spl10_1
| spl10_2 ),
inference(avatar_split_clause,[],[f193,f218,f214]) ).
fof(f193,plain,
( ssItem(sK7)
| ~ neq(sK4,nil) ),
inference(definition_unfolding,[],[f164,f156]) ).
fof(f164,plain,
( ssItem(sK7)
| ~ neq(sK6,nil) ),
inference(cnf_transformation,[],[f139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC416+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 19:17:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (20883)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)
% 0.19/0.50 % (20892)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)
% 0.19/0.51 % (20879)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)
% 0.19/0.51 % (20876)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.51 % (20880)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)
% 0.19/0.51 % (20884)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)
% 0.19/0.51 % (20893)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (20889)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)
% 0.19/0.52 % (20893)Instruction limit reached!
% 0.19/0.52 % (20893)------------------------------
% 0.19/0.52 % (20893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (20893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (20893)Termination reason: Unknown
% 0.19/0.52 % (20893)Termination phase: Preprocessing 3
% 0.19/0.52
% 0.19/0.52 % (20893)Memory used [KB]: 1663
% 0.19/0.52 % (20893)Time elapsed: 0.005 s
% 0.19/0.52 % (20893)Instructions burned: 4 (million)
% 0.19/0.52 % (20893)------------------------------
% 0.19/0.52 % (20893)------------------------------
% 0.19/0.52 % (20882)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)
% 0.19/0.52 % (20898)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)
% 0.19/0.53 % (20901)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)
% 0.19/0.53 % (20904)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)
% 0.19/0.53 % (20890)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)
% 0.19/0.53 % (20878)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)
% 0.19/0.53 % (20877)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)
% 0.19/0.53 % (20878)Instruction limit reached!
% 0.19/0.53 % (20878)------------------------------
% 0.19/0.53 % (20878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (20878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (20878)Termination reason: Unknown
% 0.19/0.53 % (20878)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (20878)Memory used [KB]: 1663
% 0.19/0.53 % (20878)Time elapsed: 0.003 s
% 0.19/0.53 % (20878)Instructions burned: 4 (million)
% 0.19/0.53 % (20878)------------------------------
% 0.19/0.53 % (20878)------------------------------
% 0.19/0.53 % (20890)Instruction limit reached!
% 0.19/0.53 % (20890)------------------------------
% 0.19/0.53 % (20890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (20890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (20890)Termination reason: Unknown
% 0.19/0.53 % (20890)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (20890)Memory used [KB]: 1663
% 0.19/0.53 % (20890)Time elapsed: 0.003 s
% 0.19/0.53 % (20890)Instructions burned: 5 (million)
% 0.19/0.53 % (20890)------------------------------
% 0.19/0.53 % (20890)------------------------------
% 0.19/0.53 % (20905)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)
% 0.19/0.53 % (20904)Instruction limit reached!
% 0.19/0.53 % (20904)------------------------------
% 0.19/0.53 % (20904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (20904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (20904)Termination reason: Unknown
% 0.19/0.53 % (20904)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (20904)Memory used [KB]: 1791
% 0.19/0.53 % (20904)Time elapsed: 0.005 s
% 0.19/0.53 % (20904)Instructions burned: 9 (million)
% 0.19/0.53 % (20904)------------------------------
% 0.19/0.53 % (20904)------------------------------
% 0.19/0.53 % (20881)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)
% 0.19/0.53 % (20896)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)
% 0.19/0.53 % (20891)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)
% 1.47/0.53 % (20887)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)
% 1.47/0.54 % (20895)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)
% 1.47/0.54 % (20885)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)
% 1.47/0.54 % (20895)Refutation not found, incomplete strategy% (20895)------------------------------
% 1.47/0.54 % (20895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (20895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (20895)Termination reason: Refutation not found, incomplete strategy
% 1.47/0.54
% 1.47/0.54 % (20895)Memory used [KB]: 6140
% 1.47/0.54 % (20895)Time elapsed: 0.137 s
% 1.47/0.54 % (20895)Instructions burned: 6 (million)
% 1.47/0.54 % (20895)------------------------------
% 1.47/0.54 % (20895)------------------------------
% 1.47/0.54 % (20899)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)
% 1.47/0.54 % (20902)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)
% 1.47/0.54 % (20897)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)
% 1.47/0.54 % (20880)Instruction limit reached!
% 1.47/0.54 % (20880)------------------------------
% 1.47/0.54 % (20880)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (20880)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (20880)Termination reason: Unknown
% 1.47/0.54 % (20880)Termination phase: Saturation
% 1.47/0.54
% 1.47/0.54 % (20880)Memory used [KB]: 6268
% 1.47/0.54 % (20880)Time elapsed: 0.134 s
% 1.47/0.54 % (20880)Instructions burned: 14 (million)
% 1.47/0.54 % (20880)------------------------------
% 1.47/0.54 % (20880)------------------------------
% 1.47/0.54 % (20900)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)
% 1.47/0.54 % (20903)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)
% 1.47/0.54 % (20887)Instruction limit reached!
% 1.47/0.54 % (20887)------------------------------
% 1.47/0.54 % (20887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.54 % (20887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.54 % (20887)Termination reason: Unknown
% 1.47/0.54 % (20887)Termination phase: Saturation
% 1.47/0.54
% 1.47/0.54 % (20887)Memory used [KB]: 6140
% 1.47/0.54 % (20887)Time elapsed: 0.151 s
% 1.47/0.54 % (20887)Instructions burned: 8 (million)
% 1.47/0.54 % (20887)------------------------------
% 1.47/0.54 % (20887)------------------------------
% 1.47/0.55 % (20886)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)
% 1.47/0.55 % (20894)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)
% 1.47/0.55 % (20888)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)
% 1.47/0.55 % (20894)Instruction limit reached!
% 1.47/0.55 % (20894)------------------------------
% 1.47/0.55 % (20894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (20894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (20894)Termination reason: Unknown
% 1.47/0.55 % (20894)Termination phase: Preprocessing 3
% 1.47/0.55
% 1.47/0.55 % (20894)Memory used [KB]: 1535
% 1.47/0.55 % (20894)Time elapsed: 0.002 s
% 1.47/0.55 % (20894)Instructions burned: 3 (million)
% 1.47/0.55 % (20894)------------------------------
% 1.47/0.55 % (20894)------------------------------
% 1.47/0.55 % (20882)First to succeed.
% 1.47/0.55 % (20877)Instruction limit reached!
% 1.47/0.55 % (20877)------------------------------
% 1.47/0.55 % (20877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.47/0.55 % (20877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.47/0.55 % (20877)Termination reason: Unknown
% 1.47/0.55 % (20877)Termination phase: Saturation
% 1.47/0.55
% 1.47/0.55 % (20877)Memory used [KB]: 6396
% 1.47/0.55 % (20877)Time elapsed: 0.144 s
% 1.47/0.55 % (20877)Instructions burned: 13 (million)
% 1.47/0.55 % (20877)------------------------------
% 1.47/0.55 % (20877)------------------------------
% 1.47/0.55 % (20882)Refutation found. Thanks to Tanya!
% 1.47/0.55 % SZS status Theorem for theBenchmark
% 1.47/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.55 % (20882)------------------------------
% 1.61/0.55 % (20882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.55 % (20882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.55 % (20882)Termination reason: Refutation
% 1.61/0.55
% 1.61/0.55 % (20882)Memory used [KB]: 6140
% 1.61/0.55 % (20882)Time elapsed: 0.116 s
% 1.61/0.55 % (20882)Instructions burned: 8 (million)
% 1.61/0.55 % (20882)------------------------------
% 1.61/0.55 % (20882)------------------------------
% 1.61/0.55 % (20875)Success in time 0.195 s
%------------------------------------------------------------------------------