TSTP Solution File: SWC421+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC421+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 : n025.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 18:41:06 EDT 2022
% Result : Theorem 1.44s 0.59s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 26
% Syntax : Number of formulae : 131 ( 9 unt; 0 def)
% Number of atoms : 805 ( 255 equ)
% Maximal formula atoms : 54 ( 6 avg)
% Number of connectives : 1152 ( 478 ~; 472 |; 157 &)
% ( 13 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 218 ( 169 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f529,plain,
$false,
inference(avatar_sat_refutation,[],[f254,f255,f278,f279,f314,f317,f338,f343,f379,f383,f407,f528]) ).
fof(f528,plain,
( ~ spl10_3
| ~ spl10_7
| spl10_9
| spl10_13 ),
inference(avatar_contradiction_clause,[],[f527]) ).
fof(f527,plain,
( $false
| ~ spl10_3
| ~ spl10_7
| spl10_9
| spl10_13 ),
inference(subsumption_resolution,[],[f526,f262]) ).
fof(f262,plain,
( nil != sK6
| spl10_9 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f261,plain,
( spl10_9
<=> nil = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_9])]) ).
fof(f526,plain,
( nil = sK6
| ~ spl10_3
| ~ spl10_7
| spl10_13 ),
inference(subsumption_resolution,[],[f525,f187]) ).
fof(f187,plain,
ssList(sK6),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ssList(sK7)
& ssList(sK8)
& neq(sK7,nil)
& ssList(sK9)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& sK9 = sK7
& ( nil = sK8
| nil != sK9 )
& sK8 = sK6
& ( ( neq(sK8,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(sK8) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK8)
| hd(sK8) != X10 )
| ~ ssList(X9)
| ~ neq(nil,sK8) ) )
| sK9 = X7 ) )
| ~ neq(sK9,nil) )
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f152,f156,f155,f154,f153]) ).
fof(f153,plain,
( ? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != X0
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& X1 = X3
& ( nil = X2
| nil != X3 )
& X0 = X2
& ( ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(X2) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,X2)
| hd(X2) != X10 )
| ~ ssList(X9)
| ~ neq(nil,X2) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) ) ) )
& ssList(X0) )
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& X1 = X3
& ( nil = X2
| nil != X3 )
& sK6 = X2
& ( ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(X2) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,X2)
| hd(X2) != X10 )
| ~ ssList(X9)
| ~ neq(nil,X2) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) ) ) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& X1 = X3
& ( nil = X2
| nil != X3 )
& sK6 = X2
& ( ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(X2) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,X2)
| hd(X2) != X10 )
| ~ ssList(X9)
| ~ neq(nil,X2) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) ) ) )
=> ( ssList(sK7)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(sK7,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& sK7 = X3
& ( nil = X2
| nil != X3 )
& sK6 = X2
& ( ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(X2) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,X2)
| hd(X2) != X10 )
| ~ ssList(X9)
| ~ neq(nil,X2) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(sK7,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& sK7 = X3
& ( nil = X2
| nil != X3 )
& sK6 = X2
& ( ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(X2) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,X2)
| hd(X2) != X10 )
| ~ ssList(X9)
| ~ neq(nil,X2) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) ) )
=> ( ssList(sK8)
& ? [X3] :
( neq(sK7,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& sK7 = X3
& ( nil = sK8
| nil != X3 )
& sK8 = sK6
& ( ( neq(sK8,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(sK8) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK8)
| hd(sK8) != X10 )
| ~ ssList(X9)
| ~ neq(nil,sK8) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X3] :
( neq(sK7,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& sK7 = X3
& ( nil = sK8
| nil != X3 )
& sK8 = sK6
& ( ( neq(sK8,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(sK8) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK8)
| hd(sK8) != X10 )
| ~ ssList(X9)
| ~ neq(nil,sK8) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) )
=> ( neq(sK7,nil)
& ssList(sK9)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| app(app(X6,cons(X4,nil)),X5) != sK6
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& sK9 = sK7
& ( nil = sK8
| nil != sK9 )
& sK8 = sK6
& ( ( neq(sK8,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(sK8) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK8)
| hd(sK8) != X10 )
| ~ ssList(X9)
| ~ neq(nil,sK8) ) )
| sK9 = X7 ) )
| ~ neq(sK9,nil) ) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& ssList(X3)
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X1
| app(app(X6,cons(X4,nil)),X5) != X0
| ~ ssList(X6) ) )
| ~ ssItem(X4) )
& X1 = X3
& ( nil = X2
| nil != X3 )
& X0 = X2
& ( ( neq(X2,nil)
& ! [X7] :
( ~ ssList(X7)
| ! [X8] :
( ~ ssList(X8)
| ! [X9] :
( app(X8,X9) != X7
| tl(X2) != X8
| ! [X10] :
( ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,X2)
| hd(X2) != X10 )
| ~ ssList(X9)
| ~ neq(nil,X2) ) )
| X3 = X7 ) )
| ~ neq(X3,nil) ) ) ) )
& ssList(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( neq(X1,nil)
& ssList(X3)
& ! [X8] :
( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X1
| app(app(X10,cons(X8,nil)),X9) != X0
| ~ ssList(X10) ) )
| ~ ssItem(X8) )
& X1 = X3
& ( nil = X2
| nil != X3 )
& X0 = X2
& ( ( neq(X2,nil)
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(X5,X6) != X4
| tl(X2) != X5
| ! [X7] :
( ~ ssItem(X7)
| cons(X7,nil) != X6
| ~ neq(nil,X2)
| hd(X2) != X7 )
| ~ ssList(X6)
| ~ neq(nil,X2) ) )
| X3 = X4 ) )
| ~ neq(X3,nil) ) ) ) )
& ssList(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( neq(X2,nil)
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(X5,X6) != X4
| tl(X2) != X5
| ! [X7] :
( ~ ssItem(X7)
| cons(X7,nil) != X6
| ~ neq(nil,X2)
| hd(X2) != X7 )
| ~ ssList(X6)
| ~ neq(nil,X2) ) )
| X3 = X4 ) )
| ~ neq(X3,nil) )
& ! [X8] :
( ! [X9] :
( ~ ssList(X9)
| ! [X10] :
( app(app(X9,cons(X8,nil)),X10) != X1
| app(app(X10,cons(X8,nil)),X9) != X0
| ~ ssList(X10) ) )
| ~ ssItem(X8) )
& neq(X1,nil)
& ( nil = X2
| nil != X3 )
& 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] :
( ssList(X4)
& ? [X5] :
( ssList(X5)
& ? [X6] :
( app(X5,X6) = X4
& ssList(X6)
& neq(nil,X2)
& tl(X2) = X5
& ? [X7] :
( cons(X7,nil) = X6
& ssItem(X7)
& neq(nil,X2)
& hd(X2) = X7 ) ) )
& X3 != X4 )
| ~ neq(X2,nil) ) )
| ? [X8] :
( ? [X9] :
( ? [X10] :
( ssList(X10)
& app(app(X10,cons(X8,nil)),X9) = X0
& app(app(X9,cons(X8,nil)),X10) = X1 )
& ssList(X9) )
& ssItem(X8) )
| ~ neq(X1,nil)
| ( nil != X2
& nil = X3 )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ neq(X2,nil)
| ? [X7] :
( X3 != X7
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ? [X10] :
( hd(X2) = X10
& neq(nil,X2)
& cons(X10,nil) = X9
& ssItem(X10) )
& tl(X2) = X8
& ssList(X9)
& neq(nil,X2)
& app(X8,X9) = X7 ) )
& ssList(X7) ) )
& neq(X3,nil) )
| X1 != X3
| ( nil != X2
& nil = X3 )
| ~ neq(X1,nil)
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6)
& app(app(X6,cons(X4,nil)),X5) = X0 )
& ssList(X5) )
& ssItem(X4) )
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ neq(X2,nil)
| ? [X7] :
( X3 != X7
& ? [X8] :
( ssList(X8)
& ? [X9] :
( ? [X10] :
( hd(X2) = X10
& neq(nil,X2)
& cons(X10,nil) = X9
& ssItem(X10) )
& tl(X2) = X8
& ssList(X9)
& neq(nil,X2)
& app(X8,X9) = X7 ) )
& ssList(X7) ) )
& neq(X3,nil) )
| X1 != X3
| ( nil != X2
& nil = X3 )
| ~ neq(X1,nil)
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X1
& ssList(X6)
& app(app(X6,cons(X4,nil)),X5) = X0 )
& ssList(X5) )
& ssItem(X4) )
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f525,plain,
( ~ ssList(sK6)
| nil = sK6
| ~ spl10_3
| ~ spl10_7
| spl10_13 ),
inference(trivial_inequality_removal,[],[f524]) ).
fof(f524,plain,
( sK6 != sK6
| ~ ssList(sK6)
| nil = sK6
| ~ spl10_3
| ~ spl10_7
| spl10_13 ),
inference(superposition,[],[f519,f184]) ).
fof(f184,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(flattening,[],[f104]) ).
fof(f104,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/benchmark/theBenchmark.p',ax78) ).
fof(f519,plain,
( cons(hd(sK6),tl(sK6)) != sK6
| ~ spl10_3
| ~ spl10_7
| spl10_13 ),
inference(subsumption_resolution,[],[f518,f252]) ).
fof(f252,plain,
( ssItem(hd(sK6))
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl10_7
<=> ssItem(hd(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f518,plain,
( cons(hd(sK6),tl(sK6)) != sK6
| ~ ssItem(hd(sK6))
| ~ spl10_3
| spl10_13 ),
inference(subsumption_resolution,[],[f500,f236]) ).
fof(f236,plain,
( ssList(tl(sK6))
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl10_3
<=> ssList(tl(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f500,plain,
( ~ ssList(tl(sK6))
| cons(hd(sK6),tl(sK6)) != sK6
| ~ ssItem(hd(sK6))
| spl10_13 ),
inference(superposition,[],[f396,f202]) ).
fof(f202,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,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(f396,plain,
( app(cons(hd(sK6),nil),tl(sK6)) != sK6
| spl10_13 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f394,plain,
( spl10_13
<=> app(cons(hd(sK6),nil),tl(sK6)) = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f407,plain,
( ~ spl10_13
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_7
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f406,f266,f251,f235,f231,f227,f394]) ).
fof(f227,plain,
( spl10_1
<=> sK7 = app(tl(sK6),cons(hd(sK6),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_1])]) ).
fof(f231,plain,
( spl10_2
<=> ssList(cons(hd(sK6),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f266,plain,
( spl10_10
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_10])]) ).
fof(f406,plain,
( app(cons(hd(sK6),nil),tl(sK6)) != sK6
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_7
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f405,f252]) ).
fof(f405,plain,
( ~ ssItem(hd(sK6))
| app(cons(hd(sK6),nil),tl(sK6)) != sK6
| ~ spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f404,f232]) ).
fof(f232,plain,
( ssList(cons(hd(sK6),nil))
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f404,plain,
( app(cons(hd(sK6),nil),tl(sK6)) != sK6
| ~ ssList(cons(hd(sK6),nil))
| ~ ssItem(hd(sK6))
| ~ spl10_1
| ~ spl10_3
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f389,f236]) ).
fof(f389,plain,
( ~ ssList(tl(sK6))
| ~ ssItem(hd(sK6))
| ~ ssList(cons(hd(sK6),nil))
| app(cons(hd(sK6),nil),tl(sK6)) != sK6
| ~ spl10_1
| ~ spl10_10 ),
inference(trivial_inequality_removal,[],[f387]) ).
fof(f387,plain,
( sK7 != sK7
| ~ ssList(tl(sK6))
| app(cons(hd(sK6),nil),tl(sK6)) != sK6
| ~ ssItem(hd(sK6))
| ~ ssList(cons(hd(sK6),nil))
| ~ spl10_1
| ~ spl10_10 ),
inference(superposition,[],[f339,f229]) ).
fof(f229,plain,
( sK7 = app(tl(sK6),cons(hd(sK6),nil))
| ~ spl10_1 ),
inference(avatar_component_clause,[],[f227]) ).
fof(f339,plain,
( ! [X2,X1] :
( sK7 != app(X1,cons(X2,nil))
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(cons(X2,nil))
| sK6 != app(cons(X2,nil),X1) )
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f286,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,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(f286,plain,
( ! [X2,X1] :
( sK7 != app(X1,cons(X2,nil))
| ~ ssList(cons(X2,nil))
| sK6 != app(cons(X2,nil),X1)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,cons(X2,nil))) )
| ~ spl10_10 ),
inference(superposition,[],[f281,f208]) ).
fof(f208,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,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(f281,plain,
( ! [X0,X1] :
( sK7 != app(app(X1,cons(X0,nil)),nil)
| ~ ssItem(X0)
| app(cons(X0,nil),X1) != sK6
| ~ ssList(X1)
| ~ ssList(cons(X0,nil)) )
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f280,f267]) ).
fof(f267,plain,
( ssList(nil)
| ~ spl10_10 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f280,plain,
! [X0,X1] :
( app(cons(X0,nil),X1) != sK6
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| sK7 != app(app(X1,cons(X0,nil)),nil)
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f193,f204]) ).
fof(f204,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f193,plain,
! [X6,X4,X5] :
( app(app(X6,cons(X4,nil)),X5) != sK6
| app(app(X5,cons(X4,nil)),X6) != sK7
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f157]) ).
fof(f383,plain,
( ~ spl10_2
| ~ spl10_3
| spl10_5 ),
inference(avatar_contradiction_clause,[],[f382]) ).
fof(f382,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| spl10_5 ),
inference(subsumption_resolution,[],[f381,f232]) ).
fof(f381,plain,
( ~ ssList(cons(hd(sK6),nil))
| ~ spl10_3
| spl10_5 ),
inference(subsumption_resolution,[],[f380,f236]) ).
fof(f380,plain,
( ~ ssList(tl(sK6))
| ~ ssList(cons(hd(sK6),nil))
| spl10_5 ),
inference(resolution,[],[f245,f161]) ).
fof(f245,plain,
( ~ ssList(app(tl(sK6),cons(hd(sK6),nil)))
| spl10_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl10_5
<=> ssList(app(tl(sK6),cons(hd(sK6),nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f379,plain,
( spl10_4
| spl10_9
| ~ spl10_10 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f378,plain,
( $false
| spl10_4
| spl10_9
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f377,f267]) ).
fof(f377,plain,
( ~ ssList(nil)
| spl10_4
| spl10_9 ),
inference(subsumption_resolution,[],[f376,f262]) ).
fof(f376,plain,
( nil = sK6
| ~ ssList(nil)
| spl10_4 ),
inference(subsumption_resolution,[],[f373,f187]) ).
fof(f373,plain,
( ~ ssList(sK6)
| nil = sK6
| ~ ssList(nil)
| spl10_4 ),
inference(resolution,[],[f178,f241]) ).
fof(f241,plain,
( ~ neq(nil,sK6)
| spl10_4 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl10_4
<=> neq(nil,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f178,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,X1) ) ) ),
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(f343,plain,
( spl10_9
| spl10_3 ),
inference(avatar_split_clause,[],[f342,f235,f261]) ).
fof(f342,plain,
( nil = sK6
| spl10_3 ),
inference(subsumption_resolution,[],[f341,f187]) ).
fof(f341,plain,
( ~ ssList(sK6)
| nil = sK6
| spl10_3 ),
inference(resolution,[],[f237,f186]) ).
fof(f186,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ssList(tl(X0)) ),
inference(flattening,[],[f107]) ).
fof(f107,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(f237,plain,
( ~ ssList(tl(sK6))
| spl10_3 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f338,plain,
( ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl10_9
| ~ spl10_10
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f336,f267]) ).
fof(f336,plain,
( ~ ssList(nil)
| ~ spl10_9
| ~ spl10_12 ),
inference(resolution,[],[f322,f222]) ).
fof(f222,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f216]) ).
fof(f216,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f322,plain,
( neq(nil,nil)
| ~ spl10_9
| ~ spl10_12 ),
inference(backward_demodulation,[],[f277,f263]) ).
fof(f263,plain,
( nil = sK6
| ~ spl10_9 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f277,plain,
( neq(sK6,nil)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f275,plain,
( spl10_12
<=> neq(sK6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f317,plain,
( spl10_9
| spl10_7 ),
inference(avatar_split_clause,[],[f316,f251,f261]) ).
fof(f316,plain,
( nil = sK6
| spl10_7 ),
inference(subsumption_resolution,[],[f315,f187]) ).
fof(f315,plain,
( ~ ssList(sK6)
| nil = sK6
| spl10_7 ),
inference(resolution,[],[f207,f253]) ).
fof(f253,plain,
( ~ ssItem(hd(sK6))
| spl10_7 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f207,plain,
! [X0] :
( ssItem(hd(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,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(f314,plain,
( ~ spl10_7
| spl10_2
| ~ spl10_10 ),
inference(avatar_split_clause,[],[f313,f266,f231,f251]) ).
fof(f313,plain,
( ~ ssItem(hd(sK6))
| spl10_2
| ~ spl10_10 ),
inference(subsumption_resolution,[],[f312,f267]) ).
fof(f312,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK6))
| spl10_2 ),
inference(resolution,[],[f203,f233]) ).
fof(f233,plain,
( ~ ssList(cons(hd(sK6),nil))
| spl10_2 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f203,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,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(f279,plain,
spl10_10,
inference(avatar_split_clause,[],[f170,f266]) ).
fof(f170,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f278,plain,
( spl10_12
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f212,f247,f275]) ).
fof(f247,plain,
( spl10_6
<=> neq(sK7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f212,plain,
( ~ neq(sK7,nil)
| neq(sK6,nil) ),
inference(definition_unfolding,[],[f189,f190,f192]) ).
fof(f192,plain,
sK9 = sK7,
inference(cnf_transformation,[],[f157]) ).
fof(f190,plain,
sK8 = sK6,
inference(cnf_transformation,[],[f157]) ).
fof(f189,plain,
( neq(sK8,nil)
| ~ neq(sK9,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f255,plain,
spl10_6,
inference(avatar_split_clause,[],[f195,f247]) ).
fof(f195,plain,
neq(sK7,nil),
inference(cnf_transformation,[],[f157]) ).
fof(f254,plain,
( spl10_1
| ~ spl10_2
| ~ spl10_3
| ~ spl10_4
| ~ spl10_5
| ~ spl10_6
| ~ spl10_7 ),
inference(avatar_split_clause,[],[f225,f251,f247,f243,f239,f235,f231,f227]) ).
fof(f225,plain,
( ~ ssItem(hd(sK6))
| ~ neq(sK7,nil)
| ~ ssList(app(tl(sK6),cons(hd(sK6),nil)))
| ~ neq(nil,sK6)
| ~ ssList(tl(sK6))
| ~ ssList(cons(hd(sK6),nil))
| sK7 = app(tl(sK6),cons(hd(sK6),nil)) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f220,plain,
( ~ ssList(cons(hd(sK6),nil))
| ~ neq(nil,sK6)
| ~ neq(sK7,nil)
| ~ ssItem(hd(sK6))
| ~ ssList(app(tl(sK6),cons(hd(sK6),nil)))
| ~ neq(nil,sK6)
| sK7 = app(tl(sK6),cons(hd(sK6),nil))
| ~ ssList(tl(sK6)) ),
inference(equality_resolution,[],[f219]) ).
fof(f219,plain,
! [X10] :
( ~ ssList(app(tl(sK6),cons(X10,nil)))
| ~ ssList(tl(sK6))
| ~ ssItem(X10)
| ~ neq(nil,sK6)
| hd(sK6) != X10
| ~ ssList(cons(X10,nil))
| ~ neq(nil,sK6)
| sK7 = app(tl(sK6),cons(X10,nil))
| ~ neq(sK7,nil) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X10,X9] :
( ~ ssList(app(tl(sK6),X9))
| ~ ssList(tl(sK6))
| ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK6)
| hd(sK6) != X10
| ~ ssList(X9)
| ~ neq(nil,sK6)
| sK7 = app(tl(sK6),X9)
| ~ neq(sK7,nil) ),
inference(equality_resolution,[],[f217]) ).
fof(f217,plain,
! [X10,X8,X9] :
( ~ ssList(app(X8,X9))
| ~ ssList(X8)
| tl(sK6) != X8
| ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK6)
| hd(sK6) != X10
| ~ ssList(X9)
| ~ neq(nil,sK6)
| app(X8,X9) = sK7
| ~ neq(sK7,nil) ),
inference(equality_resolution,[],[f213]) ).
fof(f213,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| app(X8,X9) != X7
| tl(sK6) != X8
| ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK6)
| hd(sK6) != X10
| ~ ssList(X9)
| ~ neq(nil,sK6)
| sK7 = X7
| ~ neq(sK7,nil) ),
inference(definition_unfolding,[],[f188,f190,f190,f190,f190,f192,f192]) ).
fof(f188,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| app(X8,X9) != X7
| tl(sK8) != X8
| ~ ssItem(X10)
| cons(X10,nil) != X9
| ~ neq(nil,sK8)
| hd(sK8) != X10
| ~ ssList(X9)
| ~ neq(nil,sK8)
| sK9 = X7
| ~ neq(sK9,nil) ),
inference(cnf_transformation,[],[f157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC421+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % 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 : n025.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 19:04:00 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.44/0.55 % (2043)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)
% 1.44/0.55 % (2044)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)
% 1.44/0.56 % (2060)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)
% 1.44/0.56 % (2052)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)
% 1.44/0.56 % (2039)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)
% 1.44/0.56 % (2051)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)
% 1.44/0.56 % (2051)Instruction limit reached!
% 1.44/0.56 % (2051)------------------------------
% 1.44/0.56 % (2051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (2051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (2051)Termination reason: Unknown
% 1.44/0.56 % (2051)Termination phase: Preprocessing 3
% 1.44/0.56
% 1.44/0.56 % (2051)Memory used [KB]: 1663
% 1.44/0.56 % (2051)Time elapsed: 0.004 s
% 1.44/0.56 % (2051)Instructions burned: 5 (million)
% 1.44/0.56 % (2051)------------------------------
% 1.44/0.56 % (2051)------------------------------
% 1.44/0.56 % (2039)Instruction limit reached!
% 1.44/0.56 % (2039)------------------------------
% 1.44/0.56 % (2039)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (2061)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)
% 1.44/0.56 % (2042)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)
% 1.44/0.56 % (2039)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (2039)Termination reason: Unknown
% 1.44/0.56 % (2039)Termination phase: Preprocessing 3
% 1.44/0.56
% 1.44/0.56 % (2039)Memory used [KB]: 1663
% 1.44/0.56 % (2039)Time elapsed: 0.004 s
% 1.44/0.56 % (2039)Instructions burned: 4 (million)
% 1.44/0.56 % (2039)------------------------------
% 1.44/0.56 % (2039)------------------------------
% 1.44/0.56 % (2040)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)
% 1.44/0.56 % (2059)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)
% 1.44/0.56 % (2041)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)
% 1.44/0.57 % (2037)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.44/0.57 % (2047)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)
% 1.44/0.57 % (2055)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)
% 1.44/0.57 % (2053)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)
% 1.44/0.57 % (2058)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)
% 1.44/0.57 % (2055)Instruction limit reached!
% 1.44/0.57 % (2055)------------------------------
% 1.44/0.57 % (2055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (2055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (2055)Termination reason: Unknown
% 1.44/0.57 % (2055)Termination phase: Clausification
% 1.44/0.57
% 1.44/0.57 % (2055)Memory used [KB]: 1535
% 1.44/0.57 % (2055)Time elapsed: 0.003 s
% 1.44/0.57 % (2055)Instructions burned: 3 (million)
% 1.44/0.57 % (2055)------------------------------
% 1.44/0.57 % (2055)------------------------------
% 1.44/0.57 % (2056)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)
% 1.44/0.57 % (2046)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)
% 1.44/0.57 % (2047)Refutation not found, incomplete strategy% (2047)------------------------------
% 1.44/0.57 % (2047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (2057)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)
% 1.44/0.57 % (2047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (2047)Termination reason: Refutation not found, incomplete strategy
% 1.44/0.57
% 1.44/0.57 % (2047)Memory used [KB]: 6140
% 1.44/0.57 % (2047)Time elapsed: 0.152 s
% 1.44/0.57 % (2047)Instructions burned: 8 (million)
% 1.44/0.57 % (2047)------------------------------
% 1.44/0.57 % (2047)------------------------------
% 1.44/0.57 % (2045)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)
% 1.44/0.57 % (2064)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)
% 1.44/0.58 % (2052)Instruction limit reached!
% 1.44/0.58 % (2052)------------------------------
% 1.44/0.58 % (2052)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (2052)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (2052)Termination reason: Unknown
% 1.44/0.58 % (2052)Termination phase: Function definition elimination
% 1.44/0.58
% 1.44/0.58 % (2052)Memory used [KB]: 1791
% 1.44/0.58 % (2052)Time elapsed: 0.006 s
% 1.44/0.58 % (2052)Instructions burned: 8 (million)
% 1.44/0.58 % (2052)------------------------------
% 1.44/0.58 % (2052)------------------------------
% 1.44/0.58 % (2050)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)
% 1.44/0.58 % (2063)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)
% 1.44/0.58 % (2065)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)
% 1.44/0.58 % (2054)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.58 % (2054)Instruction limit reached!
% 1.44/0.58 % (2054)------------------------------
% 1.44/0.58 % (2054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (2054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (2054)Termination reason: Unknown
% 1.44/0.58 % (2054)Termination phase: Preprocessing 3
% 1.44/0.58
% 1.44/0.58 % (2054)Memory used [KB]: 1663
% 1.44/0.58 % (2054)Time elapsed: 0.003 s
% 1.44/0.58 % (2054)Instructions burned: 4 (million)
% 1.44/0.58 % (2054)------------------------------
% 1.44/0.58 % (2054)------------------------------
% 1.44/0.58 % (2065)Instruction limit reached!
% 1.44/0.58 % (2065)------------------------------
% 1.44/0.58 % (2065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (2065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (2065)Termination reason: Unknown
% 1.44/0.58 % (2065)Termination phase: Property scanning
% 1.44/0.58
% 1.44/0.58 % (2065)Memory used [KB]: 1791
% 1.44/0.58 % (2065)Time elapsed: 0.005 s
% 1.44/0.58 % (2065)Instructions burned: 9 (million)
% 1.44/0.58 % (2065)------------------------------
% 1.44/0.58 % (2065)------------------------------
% 1.44/0.58 % (2066)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)
% 1.44/0.58 % (2062)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)
% 1.44/0.58 % (2048)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)
% 1.44/0.58 % (2043)First to succeed.
% 1.44/0.59 % (2049)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)
% 1.44/0.59 % (2043)Refutation found. Thanks to Tanya!
% 1.44/0.59 % SZS status Theorem for theBenchmark
% 1.44/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.59 % (2043)------------------------------
% 1.44/0.59 % (2043)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59 % (2043)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59 % (2043)Termination reason: Refutation
% 1.44/0.59
% 1.44/0.59 % (2043)Memory used [KB]: 6268
% 1.44/0.59 % (2043)Time elapsed: 0.155 s
% 1.44/0.59 % (2043)Instructions burned: 16 (million)
% 1.44/0.59 % (2043)------------------------------
% 1.44/0.59 % (2043)------------------------------
% 1.44/0.59 % (2036)Success in time 0.23 s
%------------------------------------------------------------------------------