TSTP Solution File: SWC005+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC005+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 : n026.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 18:38:10 EDT 2022
% Result : Theorem 1.57s 0.58s
% Output : Refutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 31
% Syntax : Number of formulae : 160 ( 10 unt; 0 def)
% Number of atoms : 774 ( 206 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 1048 ( 434 ~; 438 |; 129 &)
% ( 15 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 197 ( 151 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f623,plain,
$false,
inference(avatar_sat_refutation,[],[f251,f256,f257,f258,f325,f338,f450,f456,f526,f533,f571,f585,f598,f622]) ).
fof(f622,plain,
( ~ spl10_2
| ~ spl10_13
| ~ spl10_14
| ~ spl10_17 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl10_2
| ~ spl10_13
| ~ spl10_14
| ~ spl10_17 ),
inference(subsumption_resolution,[],[f620,f231]) ).
fof(f231,plain,
( ssList(nil)
| ~ spl10_2 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f230,plain,
( spl10_2
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_2])]) ).
fof(f620,plain,
( ~ ssList(nil)
| ~ spl10_13
| ~ spl10_14
| ~ spl10_17 ),
inference(subsumption_resolution,[],[f609,f535]) ).
fof(f535,plain,
( ssItem(hd(sK7))
| ~ spl10_13
| ~ spl10_14 ),
inference(backward_demodulation,[],[f524,f521]) ).
fof(f521,plain,
( hd(sK7) = sK2(sK7)
| ~ spl10_13 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl10_13
<=> hd(sK7) = sK2(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_13])]) ).
fof(f524,plain,
( ssItem(sK2(sK7))
| ~ spl10_14 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f523,plain,
( spl10_14
<=> ssItem(sK2(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_14])]) ).
fof(f609,plain,
( ~ ssItem(hd(sK7))
| ~ ssList(nil)
| ~ spl10_17 ),
inference(trivial_inequality_removal,[],[f607]) ).
fof(f607,plain,
( ~ ssItem(hd(sK7))
| nil != nil
| ~ ssList(nil)
| ~ spl10_17 ),
inference(superposition,[],[f158,f584]) ).
fof(f584,plain,
( nil = cons(hd(sK7),nil)
| ~ spl10_17 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl10_17
<=> nil = cons(hd(sK7),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_17])]) ).
fof(f158,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) )
| ~ ssList(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(f598,plain,
( ~ spl10_2
| ~ spl10_13
| ~ spl10_14
| spl10_16 ),
inference(avatar_contradiction_clause,[],[f597]) ).
fof(f597,plain,
( $false
| ~ spl10_2
| ~ spl10_13
| ~ spl10_14
| spl10_16 ),
inference(subsumption_resolution,[],[f596,f535]) ).
fof(f596,plain,
( ~ ssItem(hd(sK7))
| ~ spl10_2
| spl10_16 ),
inference(subsumption_resolution,[],[f595,f231]) ).
fof(f595,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sK7))
| spl10_16 ),
inference(resolution,[],[f570,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f570,plain,
( ~ ssList(cons(hd(sK7),nil))
| spl10_16 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f568,plain,
( spl10_16
<=> ssList(cons(hd(sK7),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_16])]) ).
fof(f585,plain,
( spl10_17
| ~ spl10_16
| ~ spl10_2
| spl10_15 ),
inference(avatar_split_clause,[],[f580,f564,f230,f568,f582]) ).
fof(f564,plain,
( spl10_15
<=> neq(cons(hd(sK7),nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_15])]) ).
fof(f580,plain,
( ~ ssList(cons(hd(sK7),nil))
| nil = cons(hd(sK7),nil)
| ~ spl10_2
| spl10_15 ),
inference(subsumption_resolution,[],[f579,f231]) ).
fof(f579,plain,
( nil = cons(hd(sK7),nil)
| ~ ssList(cons(hd(sK7),nil))
| ~ ssList(nil)
| spl10_15 ),
inference(resolution,[],[f566,f160]) ).
fof(f160,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( X0 != X1
<=> neq(X0,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(f566,plain,
( ~ neq(cons(hd(sK7),nil),nil)
| spl10_15 ),
inference(avatar_component_clause,[],[f564]) ).
fof(f571,plain,
( ~ spl10_15
| ~ spl10_16
| ~ spl10_2
| ~ spl10_7
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14 ),
inference(avatar_split_clause,[],[f562,f523,f519,f433,f253,f230,f568,f564]) ).
fof(f253,plain,
( spl10_7
<=> ! [X6,X5,X7] :
( ~ neq(X6,nil)
| ~ ssList(X5)
| sK6 != app(X5,X7)
| ~ ssList(X6)
| app(app(X5,X6),X7) != sK7
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_7])]) ).
fof(f433,plain,
( spl10_12
<=> cons(hd(sK7),sK6) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_12])]) ).
fof(f562,plain,
( ~ ssList(cons(hd(sK7),nil))
| ~ neq(cons(hd(sK7),nil),nil)
| ~ spl10_2
| ~ spl10_7
| ~ spl10_12
| ~ spl10_13
| ~ spl10_14 ),
inference(subsumption_resolution,[],[f561,f535]) ).
fof(f561,plain,
( ~ ssItem(hd(sK7))
| ~ ssList(cons(hd(sK7),nil))
| ~ neq(cons(hd(sK7),nil),nil)
| ~ spl10_2
| ~ spl10_7
| ~ spl10_12 ),
inference(subsumption_resolution,[],[f558,f189]) ).
fof(f189,plain,
ssList(sK6),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
( ssList(sK8)
& sK9 = sK7
& ( ( ~ neq(sK9,nil)
& neq(sK7,nil) )
| ( neq(sK7,nil)
& ! [X4] :
( sK8 = X4
| ~ neq(nil,sK9)
| ~ ssList(X4)
| tl(sK9) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(sK9)
& sK8 = sK6
& ssList(sK7)
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9])],[f152,f156,f155,f154,f153]) ).
fof(f153,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X4] :
( X2 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != X1
| app(X5,X7) != X0 ) ) ) ) )
& ssList(X3)
& X0 = X2 ) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X4] :
( X2 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != X1
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(X3)
& sK6 = X2 ) )
& ssList(X1) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X4] :
( X2 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != X1
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(X3)
& sK6 = X2 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK7 = X3
& ( ( ~ neq(X3,nil)
& neq(sK7,nil) )
| ( neq(sK7,nil)
& ! [X4] :
( X2 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(X3)
& sK6 = X2 ) )
& ssList(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK7 = X3
& ( ( ~ neq(X3,nil)
& neq(sK7,nil) )
| ( neq(sK7,nil)
& ! [X4] :
( X2 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(X3)
& sK6 = X2 ) )
=> ( ssList(sK8)
& ? [X3] :
( sK7 = X3
& ( ( ~ neq(X3,nil)
& neq(sK7,nil) )
| ( neq(sK7,nil)
& ! [X4] :
( sK8 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(X3)
& sK8 = sK6 ) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
( ? [X3] :
( sK7 = X3
& ( ( ~ neq(X3,nil)
& neq(sK7,nil) )
| ( neq(sK7,nil)
& ! [X4] :
( sK8 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(X3)
& sK8 = sK6 )
=> ( sK9 = sK7
& ( ( ~ neq(sK9,nil)
& neq(sK7,nil) )
| ( neq(sK7,nil)
& ! [X4] :
( sK8 = X4
| ~ neq(nil,sK9)
| ~ ssList(X4)
| tl(sK9) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7) ) ) ) ) )
& ssList(sK9)
& sK8 = sK6 ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X4] :
( X2 = X4
| ~ neq(nil,X3)
| ~ ssList(X4)
| tl(X3) != X4 )
& ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ ssList(X6)
| ! [X7] :
( ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != X1
| app(X5,X7) != X0 ) ) ) ) )
& ssList(X3)
& X0 = X2 ) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f137]) ).
fof(f137,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X7] :
( X2 = X7
| ~ neq(nil,X3)
| ~ ssList(X7)
| tl(X3) != X7 )
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ neq(X5,nil)
| ~ ssList(X6)
| app(app(X4,X5),X6) != X1
| app(X4,X6) != X0 ) ) ) ) )
& ssList(X3)
& X0 = X2 ) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( neq(X1,nil)
& ! [X7] :
( X2 = X7
| ~ neq(nil,X3)
| ~ ssList(X7)
| tl(X3) != X7 )
& ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( ~ neq(X5,nil)
| ~ ssList(X6)
| app(app(X4,X5),X6) != X1
| app(X4,X6) != X0 ) ) ) ) )
& X1 = X3
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ neq(X1,nil)
| neq(X3,nil) )
& ( ? [X7] :
( neq(nil,X3)
& ssList(X7)
& X2 != X7
& tl(X3) = X7 )
| ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& ? [X5] :
( ? [X6] :
( app(X4,X6) = X0
& neq(X5,nil)
& app(app(X4,X5),X6) = X1
& ssList(X6) )
& ssList(X5) ) ) ) )
| X1 != X3
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ neq(X1,nil)
| neq(X3,nil) )
& ( ? [X7] :
( neq(nil,X3)
& ssList(X7)
& X2 != X7
& tl(X3) = X7 )
| ~ neq(X1,nil)
| ? [X4] :
( ssList(X4)
& ? [X5] :
( ? [X6] :
( app(X4,X6) = X0
& neq(X5,nil)
& app(app(X4,X5),X6) = X1
& ssList(X6) )
& ssList(X5) ) ) ) )
| X1 != X3
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f558,plain,
( ~ ssList(sK6)
| ~ neq(cons(hd(sK7),nil),nil)
| ~ ssList(cons(hd(sK7),nil))
| ~ ssItem(hd(sK7))
| ~ spl10_2
| ~ spl10_7
| ~ spl10_12 ),
inference(trivial_inequality_removal,[],[f556]) ).
fof(f556,plain,
( ~ ssList(sK6)
| sK7 != sK7
| ~ ssItem(hd(sK7))
| ~ neq(cons(hd(sK7),nil),nil)
| sK6 != sK6
| ~ ssList(cons(hd(sK7),nil))
| ~ spl10_2
| ~ spl10_7
| ~ spl10_12 ),
inference(superposition,[],[f551,f435]) ).
fof(f435,plain,
( cons(hd(sK7),sK6) = sK7
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f551,plain,
( ! [X6,X5] :
( cons(X5,X6) != sK7
| ~ ssItem(X5)
| sK6 != X6
| ~ ssList(X6)
| ~ ssList(cons(X5,nil))
| ~ neq(cons(X5,nil),nil) )
| ~ spl10_2
| ~ spl10_7 ),
inference(duplicate_literal_removal,[],[f542]) ).
fof(f542,plain,
( ! [X6,X5] :
( ~ ssList(cons(X5,nil))
| ~ ssList(X6)
| ~ ssItem(X5)
| ~ ssList(X6)
| cons(X5,X6) != sK7
| ~ neq(cons(X5,nil),nil)
| sK6 != X6 )
| ~ spl10_2
| ~ spl10_7 ),
inference(superposition,[],[f291,f178]) ).
fof(f178,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,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(f291,plain,
( ! [X2,X3] :
( app(X3,X2) != sK7
| ~ ssList(X3)
| ~ neq(X3,nil)
| ~ ssList(X2)
| sK6 != X2 )
| ~ spl10_2
| ~ spl10_7 ),
inference(duplicate_literal_removal,[],[f290]) ).
fof(f290,plain,
( ! [X2,X3] :
( sK6 != X2
| ~ ssList(X3)
| app(X3,X2) != sK7
| ~ ssList(X2)
| ~ ssList(X2)
| ~ neq(X3,nil) )
| ~ spl10_2
| ~ spl10_7 ),
inference(superposition,[],[f287,f201]) ).
fof(f201,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,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(f287,plain,
( ! [X2,X1] :
( sK6 != app(nil,X2)
| app(X1,X2) != sK7
| ~ ssList(X2)
| ~ neq(X1,nil)
| ~ ssList(X1) )
| ~ spl10_2
| ~ spl10_7 ),
inference(subsumption_resolution,[],[f285,f231]) ).
fof(f285,plain,
( ! [X2,X1] :
( ~ ssList(X2)
| ~ neq(X1,nil)
| app(X1,X2) != sK7
| ~ ssList(nil)
| sK6 != app(nil,X2)
| ~ ssList(X1) )
| ~ spl10_7 ),
inference(duplicate_literal_removal,[],[f282]) ).
fof(f282,plain,
( ! [X2,X1] :
( ~ ssList(X2)
| app(X1,X2) != sK7
| ~ ssList(X1)
| sK6 != app(nil,X2)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ neq(X1,nil) )
| ~ spl10_7 ),
inference(superposition,[],[f254,f201]) ).
fof(f254,plain,
( ! [X6,X7,X5] :
( app(app(X5,X6),X7) != sK7
| ~ neq(X6,nil)
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(X5)
| sK6 != app(X5,X7) )
| ~ spl10_7 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f533,plain,
( spl10_11
| spl10_14 ),
inference(avatar_contradiction_clause,[],[f532]) ).
fof(f532,plain,
( $false
| spl10_11
| spl10_14 ),
inference(subsumption_resolution,[],[f531,f190]) ).
fof(f190,plain,
ssList(sK7),
inference(cnf_transformation,[],[f157]) ).
fof(f531,plain,
( ~ ssList(sK7)
| spl10_11
| spl10_14 ),
inference(subsumption_resolution,[],[f527,f418]) ).
fof(f418,plain,
( nil != sK7
| spl10_11 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f417,plain,
( spl10_11
<=> nil = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_11])]) ).
fof(f527,plain,
( nil = sK7
| ~ ssList(sK7)
| spl10_14 ),
inference(resolution,[],[f525,f182]) ).
fof(f182,plain,
! [X0] :
( ssItem(sK2(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ( ssItem(sK2(X0))
& cons(sK2(X0),sK1(X0)) = X0
& ssList(sK1(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f99,f145,f144]) ).
fof(f144,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
=> ( ? [X2] :
( ssItem(X2)
& cons(X2,sK1(X0)) = X0 )
& ssList(sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK1(X0)) = X0 )
=> ( ssItem(sK2(X0))
& cons(sK2(X0),sK1(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) ) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 )
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f525,plain,
( ~ ssItem(sK2(sK7))
| spl10_14 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f526,plain,
( spl10_13
| ~ spl10_14
| ~ spl10_5
| spl10_11 ),
inference(avatar_split_clause,[],[f517,f417,f243,f523,f519]) ).
fof(f243,plain,
( spl10_5
<=> sK6 = tl(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_5])]) ).
fof(f517,plain,
( ~ ssItem(sK2(sK7))
| hd(sK7) = sK2(sK7)
| ~ spl10_5
| spl10_11 ),
inference(subsumption_resolution,[],[f513,f189]) ).
fof(f513,plain,
( ~ ssList(sK6)
| hd(sK7) = sK2(sK7)
| ~ ssItem(sK2(sK7))
| ~ spl10_5
| spl10_11 ),
inference(superposition,[],[f177,f510]) ).
fof(f510,plain,
( cons(sK2(sK7),sK6) = sK7
| ~ spl10_5
| spl10_11 ),
inference(subsumption_resolution,[],[f509,f190]) ).
fof(f509,plain,
( ~ ssList(sK7)
| cons(sK2(sK7),sK6) = sK7
| ~ spl10_5
| spl10_11 ),
inference(subsumption_resolution,[],[f501,f418]) ).
fof(f501,plain,
( nil = sK7
| cons(sK2(sK7),sK6) = sK7
| ~ ssList(sK7)
| ~ spl10_5 ),
inference(superposition,[],[f406,f245]) ).
fof(f245,plain,
( sK6 = tl(sK7)
| ~ spl10_5 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f406,plain,
! [X1] :
( cons(sK2(X1),tl(X1)) = X1
| ~ ssList(X1)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f404]) ).
fof(f404,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| cons(sK2(X1),tl(X1)) = X1
| ~ ssList(X1)
| nil = X1 ),
inference(superposition,[],[f181,f396]) ).
fof(f396,plain,
! [X0] :
( tl(X0) = sK1(X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f395,f182]) ).
fof(f395,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ~ ssItem(sK2(X0))
| tl(X0) = sK1(X0) ),
inference(subsumption_resolution,[],[f388,f180]) ).
fof(f180,plain,
! [X0] :
( ssList(sK1(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f388,plain,
! [X0] :
( ~ ssList(sK1(X0))
| ~ ssList(X0)
| nil = X0
| tl(X0) = sK1(X0)
| ~ ssItem(sK2(X0)) ),
inference(superposition,[],[f204,f181]) ).
fof(f204,plain,
! [X0,X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) ) ),
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(f181,plain,
! [X0] :
( cons(sK2(X0),sK1(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f177,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 )
| ~ ssList(X0) ),
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(f456,plain,
( spl10_12
| ~ spl10_5
| spl10_11 ),
inference(avatar_split_clause,[],[f455,f417,f243,f433]) ).
fof(f455,plain,
( cons(hd(sK7),sK6) = sK7
| ~ spl10_5
| spl10_11 ),
inference(subsumption_resolution,[],[f454,f418]) ).
fof(f454,plain,
( cons(hd(sK7),sK6) = sK7
| nil = sK7
| ~ spl10_5 ),
inference(subsumption_resolution,[],[f451,f190]) ).
fof(f451,plain,
( ~ ssList(sK7)
| cons(hd(sK7),sK6) = sK7
| nil = sK7
| ~ spl10_5 ),
inference(superposition,[],[f207,f245]) ).
fof(f207,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f131]) ).
fof(f131,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(f450,plain,
( ~ spl10_2
| ~ spl10_3
| ~ spl10_11 ),
inference(avatar_contradiction_clause,[],[f449]) ).
fof(f449,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| ~ spl10_11 ),
inference(subsumption_resolution,[],[f448,f231]) ).
fof(f448,plain,
( ~ ssList(nil)
| ~ spl10_3
| ~ spl10_11 ),
inference(resolution,[],[f438,f223]) ).
fof(f223,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f438,plain,
( neq(nil,nil)
| ~ spl10_3
| ~ spl10_11 ),
inference(backward_demodulation,[],[f237,f419]) ).
fof(f419,plain,
( nil = sK7
| ~ spl10_11 ),
inference(avatar_component_clause,[],[f417]) ).
fof(f237,plain,
( neq(sK7,nil)
| ~ spl10_3 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f235,plain,
( spl10_3
<=> neq(sK7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_3])]) ).
fof(f338,plain,
( ~ spl10_2
| ~ spl10_4
| spl10_6 ),
inference(avatar_contradiction_clause,[],[f337]) ).
fof(f337,plain,
( $false
| ~ spl10_2
| ~ spl10_4
| spl10_6 ),
inference(subsumption_resolution,[],[f336,f231]) ).
fof(f336,plain,
( ~ ssList(nil)
| ~ spl10_4
| spl10_6 ),
inference(resolution,[],[f331,f223]) ).
fof(f331,plain,
( neq(nil,nil)
| ~ spl10_4
| spl10_6 ),
inference(backward_demodulation,[],[f240,f329]) ).
fof(f329,plain,
( nil = sK7
| spl10_6 ),
inference(subsumption_resolution,[],[f328,f190]) ).
fof(f328,plain,
( ~ ssList(sK7)
| nil = sK7
| spl10_6 ),
inference(resolution,[],[f249,f208]) ).
fof(f208,plain,
! [X0] :
( ssList(tl(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ~ ssList(X0)
| ssList(tl(X0))
| nil = X0 ),
inference(flattening,[],[f120]) ).
fof(f120,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(f249,plain,
( ~ ssList(tl(sK7))
| spl10_6 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f247,plain,
( spl10_6
<=> ssList(tl(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_6])]) ).
fof(f240,plain,
( neq(nil,sK7)
| ~ spl10_4 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f239,plain,
( spl10_4
<=> neq(nil,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_4])]) ).
fof(f325,plain,
( ~ spl10_2
| ~ spl10_3
| spl10_4 ),
inference(avatar_contradiction_clause,[],[f324]) ).
fof(f324,plain,
( $false
| ~ spl10_2
| ~ spl10_3
| spl10_4 ),
inference(subsumption_resolution,[],[f323,f231]) ).
fof(f323,plain,
( ~ ssList(nil)
| ~ spl10_2
| ~ spl10_3
| spl10_4 ),
inference(resolution,[],[f313,f223]) ).
fof(f313,plain,
( neq(nil,nil)
| ~ spl10_2
| ~ spl10_3
| spl10_4 ),
inference(backward_demodulation,[],[f237,f311]) ).
fof(f311,plain,
( nil = sK7
| ~ spl10_2
| spl10_4 ),
inference(subsumption_resolution,[],[f310,f190]) ).
fof(f310,plain,
( nil = sK7
| ~ ssList(sK7)
| ~ spl10_2
| spl10_4 ),
inference(subsumption_resolution,[],[f305,f231]) ).
fof(f305,plain,
( ~ ssList(nil)
| nil = sK7
| ~ ssList(sK7)
| spl10_4 ),
inference(resolution,[],[f160,f241]) ).
fof(f241,plain,
( ~ neq(nil,sK7)
| spl10_4 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f258,plain,
( ~ spl10_3
| spl10_5
| ~ spl10_4
| ~ spl10_6 ),
inference(avatar_split_clause,[],[f219,f247,f239,f243,f235]) ).
fof(f219,plain,
( ~ ssList(tl(sK7))
| ~ neq(nil,sK7)
| sK6 = tl(sK7)
| ~ neq(sK7,nil) ),
inference(equality_resolution,[],[f211]) ).
fof(f211,plain,
! [X4] :
( ~ neq(sK7,nil)
| sK6 = X4
| ~ neq(nil,sK7)
| ~ ssList(X4)
| tl(sK7) != X4 ),
inference(definition_unfolding,[],[f197,f199,f191,f199,f199]) ).
fof(f191,plain,
sK8 = sK6,
inference(cnf_transformation,[],[f157]) ).
fof(f199,plain,
sK9 = sK7,
inference(cnf_transformation,[],[f157]) ).
fof(f197,plain,
! [X4] :
( ~ neq(sK9,nil)
| sK8 = X4
| ~ neq(nil,sK9)
| ~ ssList(X4)
| tl(sK9) != X4 ),
inference(cnf_transformation,[],[f157]) ).
fof(f257,plain,
( ~ spl10_3
| spl10_7 ),
inference(avatar_split_clause,[],[f212,f253,f235]) ).
fof(f212,plain,
! [X6,X7,X5] :
( ~ ssList(X7)
| ~ ssList(X6)
| ~ ssList(X5)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7)
| ~ neq(sK7,nil)
| ~ neq(X6,nil) ),
inference(definition_unfolding,[],[f196,f199]) ).
fof(f196,plain,
! [X6,X7,X5] :
( ~ neq(sK9,nil)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ neq(X6,nil)
| ~ ssList(X7)
| app(app(X5,X6),X7) != sK7
| sK6 != app(X5,X7) ),
inference(cnf_transformation,[],[f157]) ).
fof(f256,plain,
spl10_3,
inference(avatar_split_clause,[],[f221,f235]) ).
fof(f221,plain,
neq(sK7,nil),
inference(duplicate_literal_removal,[],[f195]) ).
fof(f195,plain,
( neq(sK7,nil)
| neq(sK7,nil) ),
inference(cnf_transformation,[],[f157]) ).
fof(f251,plain,
spl10_2,
inference(avatar_split_clause,[],[f202,f230]) ).
fof(f202,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC005+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
% 0.13/0.34 % Computer : n026.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 18:07:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.48 % (11956)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)
% 0.19/0.50 % (11955)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)
% 0.19/0.51 % (11948)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)
% 0.19/0.52 % (11948)Instruction limit reached!
% 0.19/0.52 % (11948)------------------------------
% 0.19/0.52 % (11948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (11947)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 % (11948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (11948)Termination reason: Unknown
% 0.19/0.52 % (11948)Termination phase: Naming
% 0.19/0.52
% 0.19/0.52 % (11948)Memory used [KB]: 1535
% 0.19/0.52 % (11948)Time elapsed: 0.008 s
% 0.19/0.52 % (11948)Instructions burned: 3 (million)
% 0.19/0.52 % (11948)------------------------------
% 0.19/0.52 % (11948)------------------------------
% 0.19/0.52 % (11940)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 % (11934)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.53 % (11939)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 % (11935)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 % (11941)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)
% 0.19/0.53 % (11937)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)
% 0.19/0.53 % (11943)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)
% 0.19/0.53 % (11944)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)
% 0.19/0.54 % (11942)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)
% 0.19/0.54 % (11944)Refutation not found, incomplete strategy% (11944)------------------------------
% 0.19/0.54 % (11944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11944)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (11944)Memory used [KB]: 6140
% 0.19/0.54 % (11944)Time elapsed: 0.124 s
% 0.19/0.54 % (11944)Instructions burned: 5 (million)
% 0.19/0.54 % (11944)------------------------------
% 0.19/0.54 % (11944)------------------------------
% 0.19/0.54 % (11960)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)
% 0.19/0.54 % (11938)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)
% 0.19/0.54 % (11961)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)
% 0.19/0.54 % (11958)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)
% 0.19/0.54 % (11952)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)
% 0.19/0.54 % (11952)Instruction limit reached!
% 0.19/0.54 % (11952)------------------------------
% 0.19/0.54 % (11952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (11952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (11952)Termination reason: Unknown
% 0.19/0.54 % (11952)Termination phase: Preprocessing 1
% 0.19/0.54
% 0.19/0.54 % (11952)Memory used [KB]: 1407
% 0.19/0.54 % (11952)Time elapsed: 0.003 s
% 0.19/0.54 % (11952)Instructions burned: 2 (million)
% 0.19/0.54 % (11952)------------------------------
% 0.19/0.54 % (11952)------------------------------
% 0.19/0.54 % (11945)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)
% 0.19/0.55 % (11959)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)
% 0.19/0.55 % (11935)Instruction limit reached!
% 0.19/0.55 % (11935)------------------------------
% 0.19/0.55 % (11935)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11935)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11935)Termination reason: Unknown
% 0.19/0.55 % (11935)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (11935)Memory used [KB]: 6524
% 0.19/0.55 % (11935)Time elapsed: 0.143 s
% 0.19/0.55 % (11935)Instructions burned: 13 (million)
% 0.19/0.55 % (11935)------------------------------
% 0.19/0.55 % (11935)------------------------------
% 0.19/0.55 % (11939)Instruction limit reached!
% 0.19/0.55 % (11939)------------------------------
% 0.19/0.55 % (11939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11939)Termination reason: Unknown
% 0.19/0.55 % (11939)Termination phase: Saturation
% 0.19/0.55
% 0.19/0.55 % (11939)Memory used [KB]: 1663
% 0.19/0.55 % (11939)Time elapsed: 0.132 s
% 0.19/0.55 % (11939)Instructions burned: 16 (million)
% 0.19/0.55 % (11939)------------------------------
% 0.19/0.55 % (11939)------------------------------
% 0.19/0.55 % (11950)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)
% 0.19/0.55 % (11951)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.55 % (11951)Instruction limit reached!
% 0.19/0.55 % (11951)------------------------------
% 0.19/0.55 % (11951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11951)Termination reason: Unknown
% 0.19/0.55 % (11951)Termination phase: Preprocessing 3
% 0.19/0.55
% 0.19/0.55 % (11951)Memory used [KB]: 1663
% 0.19/0.55 % (11951)Time elapsed: 0.003 s
% 0.19/0.55 % (11951)Instructions burned: 4 (million)
% 0.19/0.55 % (11951)------------------------------
% 0.19/0.55 % (11951)------------------------------
% 0.19/0.55 % (11946)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)
% 0.19/0.55 % (11954)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)
% 0.19/0.55 % (11936)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)
% 0.19/0.55 % (11953)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)
% 0.19/0.55 % (11936)Instruction limit reached!
% 0.19/0.55 % (11936)------------------------------
% 0.19/0.55 % (11936)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (11936)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (11936)Termination reason: Unknown
% 0.19/0.55 % (11936)Termination phase: Preprocessing 3
% 0.19/0.55
% 0.19/0.55 % (11936)Memory used [KB]: 1535
% 0.19/0.55 % (11936)Time elapsed: 0.003 s
% 0.19/0.55 % (11936)Instructions burned: 3 (million)
% 0.19/0.55 % (11936)------------------------------
% 0.19/0.55 % (11936)------------------------------
% 0.19/0.56 % (11953)Refutation not found, incomplete strategy% (11953)------------------------------
% 0.19/0.56 % (11953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11953)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (11953)Memory used [KB]: 6140
% 0.19/0.56 % (11953)Time elapsed: 0.153 s
% 0.19/0.56 % (11953)Instructions burned: 6 (million)
% 0.19/0.56 % (11953)------------------------------
% 0.19/0.56 % (11953)------------------------------
% 0.19/0.56 % (11938)Instruction limit reached!
% 0.19/0.56 % (11938)------------------------------
% 0.19/0.56 % (11938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11938)Termination reason: Unknown
% 0.19/0.56 % (11938)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (11938)Memory used [KB]: 6268
% 0.19/0.56 % (11938)Time elapsed: 0.137 s
% 0.19/0.56 % (11938)Instructions burned: 14 (million)
% 0.19/0.56 % (11938)------------------------------
% 0.19/0.56 % (11938)------------------------------
% 0.19/0.56 % (11957)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)
% 0.19/0.56 % (11962)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)
% 0.19/0.56 % (11949)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)
% 0.19/0.56 % (11940)First to succeed.
% 0.19/0.56 % (11962)Instruction limit reached!
% 0.19/0.56 % (11962)------------------------------
% 0.19/0.56 % (11962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11962)Termination reason: Unknown
% 0.19/0.56 % (11962)Termination phase: Function definition elimination
% 0.19/0.56
% 0.19/0.56 % (11962)Memory used [KB]: 1791
% 0.19/0.56 % (11962)Time elapsed: 0.006 s
% 0.19/0.56 % (11962)Instructions burned: 8 (million)
% 0.19/0.56 % (11962)------------------------------
% 0.19/0.56 % (11962)------------------------------
% 0.19/0.56 % (11945)Instruction limit reached!
% 0.19/0.56 % (11945)------------------------------
% 0.19/0.56 % (11945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (11945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (11945)Termination reason: Unknown
% 0.19/0.56 % (11945)Termination phase: Saturation
% 0.19/0.56
% 0.19/0.56 % (11945)Memory used [KB]: 6140
% 0.19/0.56 % (11945)Time elapsed: 0.165 s
% 0.19/0.56 % (11945)Instructions burned: 7 (million)
% 0.19/0.56 % (11945)------------------------------
% 0.19/0.56 % (11945)------------------------------
% 0.19/0.57 % (11963)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)
% 1.57/0.58 % (11940)Refutation found. Thanks to Tanya!
% 1.57/0.58 % SZS status Theorem for theBenchmark
% 1.57/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.58 % (11940)------------------------------
% 1.57/0.58 % (11940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (11940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (11940)Termination reason: Refutation
% 1.57/0.58
% 1.57/0.58 % (11940)Memory used [KB]: 6268
% 1.57/0.58 % (11940)Time elapsed: 0.075 s
% 1.57/0.58 % (11940)Instructions burned: 19 (million)
% 1.57/0.58 % (11940)------------------------------
% 1.57/0.58 % (11940)------------------------------
% 1.57/0.58 % (11931)Success in time 0.22 s
%------------------------------------------------------------------------------