TSTP Solution File: SWC237+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC237+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 18:39:48 EDT 2022
% Result : Theorem 2.18s 0.63s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 24
% Syntax : Number of formulae : 124 ( 14 unt; 0 def)
% Number of atoms : 816 ( 251 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 1103 ( 411 ~; 421 |; 231 &)
% ( 7 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-3 aty)
% Number of variables : 277 ( 200 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f814,plain,
$false,
inference(avatar_sat_refutation,[],[f299,f313,f402,f592,f596,f813]) ).
fof(f813,plain,
( spl18_2
| ~ spl18_3
| ~ spl18_9
| ~ spl18_17 ),
inference(avatar_contradiction_clause,[],[f812]) ).
fof(f812,plain,
( $false
| spl18_2
| ~ spl18_3
| ~ spl18_9
| ~ spl18_17 ),
inference(subsumption_resolution,[],[f811,f591]) ).
fof(f591,plain,
( ssItem(sK9(hd(sK7),nil,sK11(sK7)))
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl18_17
<=> ssItem(sK9(hd(sK7),nil,sK11(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f811,plain,
( ~ ssItem(sK9(hd(sK7),nil,sK11(sK7)))
| spl18_2
| ~ spl18_3
| ~ spl18_9 ),
inference(resolution,[],[f810,f195]) ).
fof(f195,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f810,plain,
( memberP(nil,sK9(hd(sK7),nil,sK11(sK7)))
| spl18_2
| ~ spl18_3
| ~ spl18_9 ),
inference(subsumption_resolution,[],[f809,f535]) ).
fof(f535,plain,
( ssList(cons(hd(sK7),nil))
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f534,plain,
( spl18_9
<=> ssList(cons(hd(sK7),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f809,plain,
( ~ ssList(cons(hd(sK7),nil))
| memberP(nil,sK9(hd(sK7),nil,sK11(sK7)))
| spl18_2
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f808,f297]) ).
fof(f297,plain,
( nil != sK7
| spl18_2 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f295,plain,
( spl18_2
<=> nil = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f808,plain,
( memberP(nil,sK9(hd(sK7),nil,sK11(sK7)))
| nil = sK7
| ~ ssList(cons(hd(sK7),nil))
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f807,f217]) ).
fof(f217,plain,
ssList(sK7),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
( ssList(sK5)
& ssList(sK7)
& sK5 = sK7
& sK8 = sK6
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ( ssItem(sK9(X4,X5,X6))
& memberP(X5,sK9(X4,X5,X6))
& ~ lt(X4,sK9(X4,X5,X6))
& memberP(X6,sK9(X4,X5,X6))
& leq(X4,sK9(X4,X5,X6)) ) ) )
| ~ ssItem(X4) )
& ( nil != sK7
| nil = sK8 )
& ssList(sK10)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != sK10
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != sK7
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(sK7)
& sK8 = app(sK7,sK10)
& ssList(sK8)
& nil != sK5
& ssList(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10])],[f156,f162,f161,f160,f159,f158,f157]) ).
fof(f157,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& X1 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != X2
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != X2
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(X2)
& app(X2,X8) = X3 )
& ssList(X3)
& nil != X0 ) )
& ssList(X1) ) )
=> ( ssList(sK5)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK5 = X2
& X1 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != X2
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != X2
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(X2)
& app(X2,X8) = X3 )
& ssList(X3)
& nil != sK5 ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK5 = X2
& X1 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != X2
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != X2
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(X2)
& app(X2,X8) = X3 )
& ssList(X3)
& nil != sK5 ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK5 = X2
& sK6 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != X2
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != X2
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(X2)
& app(X2,X8) = X3 )
& ssList(X3)
& nil != sK5 ) )
& ssList(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK5 = X2
& sK6 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != X2
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != X2
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(X2)
& app(X2,X8) = X3 )
& ssList(X3)
& nil != sK5 ) )
=> ( ssList(sK7)
& ? [X3] :
( sK5 = sK7
& sK6 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != sK7
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != sK7
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(sK7)
& app(sK7,X8) = X3 )
& ssList(X3)
& nil != sK5 ) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
( ? [X3] :
( sK5 = sK7
& sK6 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != sK7
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != sK7
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(sK7)
& app(sK7,X8) = X3 )
& ssList(X3)
& nil != sK5 )
=> ( sK5 = sK7
& sK8 = sK6
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != sK7
| nil = sK8 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != sK7
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(sK7)
& sK8 = app(sK7,X8) )
& ssList(sK8)
& nil != sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X4,X5,X6] :
( ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) )
=> ( ssItem(sK9(X4,X5,X6))
& memberP(X5,sK9(X4,X5,X6))
& ~ lt(X4,sK9(X4,X5,X6))
& memberP(X6,sK9(X4,X5,X6))
& leq(X4,sK9(X4,X5,X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
( ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != sK7
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(sK7)
& sK8 = app(sK7,X8) )
=> ( ssList(sK10)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != sK10
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != sK7
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(sK7)
& sK8 = app(sK7,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f156,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& X1 = X3
& ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| ! [X6] :
( app(app(X5,cons(X4,nil)),X6) != X0
| ~ ssList(X6)
| ? [X7] :
( ssItem(X7)
& memberP(X5,X7)
& ~ lt(X4,X7)
& memberP(X6,X7)
& leq(X4,X7) ) ) )
| ~ ssItem(X4) )
& ( nil != X2
| nil = X3 )
& ? [X8] :
( ssList(X8)
& ! [X9] :
( ! [X10] :
( app(cons(X9,nil),X10) != X8
| ! [X11] :
( ! [X12] :
( app(X12,cons(X11,nil)) != X2
| ~ ssList(X12)
| ~ lt(X11,X9) )
| ~ ssItem(X11) )
| ~ ssList(X10) )
| ~ ssItem(X9) )
& strictorderedP(X2)
& app(X2,X8) = X3 )
& ssList(X3)
& nil != X0 ) )
& ssList(X1) ) ),
inference(rectify,[],[f139]) ).
fof(f139,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X0 = X2
& X1 = X3
& ! [X9] :
( ! [X10] :
( ~ ssList(X10)
| ! [X11] :
( app(app(X10,cons(X9,nil)),X11) != X0
| ~ ssList(X11)
| ? [X12] :
( ssItem(X12)
& memberP(X10,X12)
& ~ lt(X9,X12)
& memberP(X11,X12)
& leq(X9,X12) ) ) )
| ~ ssItem(X9) )
& ( nil != X2
| nil = X3 )
& ? [X4] :
( ssList(X4)
& ! [X5] :
( ! [X6] :
( app(cons(X5,nil),X6) != X4
| ! [X7] :
( ! [X8] :
( app(X8,cons(X7,nil)) != X2
| ~ ssList(X8)
| ~ lt(X7,X5) )
| ~ ssItem(X7) )
| ~ ssList(X6) )
| ~ ssItem(X5) )
& strictorderedP(X2)
& app(X2,X4) = X3 )
& ssList(X3)
& nil != X0 ) )
& ssList(X1) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( X0 != X2
| X1 != X3
| ~ ssList(X3)
| nil = X0
| ! [X4] :
( app(X2,X4) != X3
| ~ ssList(X4)
| ~ strictorderedP(X2)
| ? [X5] :
( ssItem(X5)
& ? [X6] :
( ? [X7] :
( ? [X8] :
( lt(X7,X5)
& app(X8,cons(X7,nil)) = X2
& ssList(X8) )
& ssItem(X7) )
& ssList(X6)
& app(cons(X5,nil),X6) = X4 ) ) )
| ( nil = X2
& nil != X3 )
| ? [X9] :
( ? [X10] :
( ssList(X10)
& ? [X11] :
( ! [X12] :
( ~ leq(X9,X12)
| lt(X9,X12)
| ~ memberP(X11,X12)
| ~ ssItem(X12)
| ~ memberP(X10,X12) )
& app(app(X10,cons(X9,nil)),X11) = X0
& ssList(X11) ) )
& ssItem(X9) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X8] :
( ~ strictorderedP(X2)
| app(X2,X8) != X3
| ? [X9] :
( ssItem(X9)
& ? [X10] :
( ? [X11] :
( ssItem(X11)
& ? [X12] :
( lt(X11,X9)
& ssList(X12)
& app(X12,cons(X11,nil)) = X2 ) )
& app(cons(X9,nil),X10) = X8
& ssList(X10) ) )
| ~ ssList(X8) )
| X0 != X2
| ( nil = X2
& nil != X3 )
| nil = X0
| ~ ssList(X3)
| X1 != X3
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ! [X7] :
( lt(X4,X7)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ leq(X4,X7)
| ~ memberP(X5,X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ! [X8] :
( ~ strictorderedP(X2)
| app(X2,X8) != X3
| ? [X9] :
( ssItem(X9)
& ? [X10] :
( ? [X11] :
( ssItem(X11)
& ? [X12] :
( lt(X11,X9)
& ssList(X12)
& app(X12,cons(X11,nil)) = X2 ) )
& app(cons(X9,nil),X10) = X8
& ssList(X10) ) )
| ~ ssList(X8) )
| X0 != X2
| ( nil = X2
& nil != X3 )
| nil = X0
| ~ ssList(X3)
| X1 != X3
| ? [X4] :
( ? [X5] :
( ? [X6] :
( app(app(X5,cons(X4,nil)),X6) = X0
& ! [X7] :
( lt(X4,X7)
| ~ ssItem(X7)
| ~ memberP(X6,X7)
| ~ leq(X4,X7)
| ~ memberP(X5,X7) )
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f807,plain,
( ~ ssList(sK7)
| nil = sK7
| ~ ssList(cons(hd(sK7),nil))
| memberP(nil,sK9(hd(sK7),nil,sK11(sK7)))
| ~ spl18_3 ),
inference(equality_resolution,[],[f476]) ).
fof(f476,plain,
( ! [X1] :
( sK7 != X1
| memberP(nil,sK9(hd(X1),nil,sK11(X1)))
| ~ ssList(X1)
| ~ ssList(cons(hd(X1),nil))
| nil = X1 )
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f475,f224]) ).
fof(f224,plain,
! [X0] :
( ssList(sK11(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ( ssList(sK11(X0))
& ssItem(sK12(X0))
& cons(sK12(X0),sK11(X0)) = X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f104,f165,f164]) ).
fof(f164,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
=> ( ssList(sK11(X0))
& ? [X2] :
( ssItem(X2)
& cons(X2,sK11(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK11(X0)) = X0 )
=> ( ssItem(sK12(X0))
& cons(sK12(X0),sK11(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f104,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ),
inference(flattening,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f475,plain,
( ! [X1] :
( nil = X1
| sK7 != X1
| memberP(nil,sK9(hd(X1),nil,sK11(X1)))
| ~ ssList(X1)
| ~ ssList(cons(hd(X1),nil))
| ~ ssList(sK11(X1)) )
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f474,f241]) ).
fof(f241,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ssItem(hd(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(f474,plain,
( ! [X1] :
( ~ ssList(cons(hd(X1),nil))
| ~ ssList(X1)
| sK7 != X1
| ~ ssItem(hd(X1))
| ~ ssList(sK11(X1))
| nil = X1
| memberP(nil,sK9(hd(X1),nil,sK11(X1))) )
| ~ spl18_3 ),
inference(superposition,[],[f450,f389]) ).
fof(f389,plain,
! [X1] :
( cons(hd(X1),sK11(X1)) = X1
| ~ ssList(X1)
| nil = X1 ),
inference(duplicate_literal_removal,[],[f387]) ).
fof(f387,plain,
! [X1] :
( nil = X1
| ~ ssList(X1)
| nil = X1
| cons(hd(X1),sK11(X1)) = X1
| ~ ssList(X1) ),
inference(superposition,[],[f222,f380]) ).
fof(f380,plain,
! [X0] :
( hd(X0) = sK12(X0)
| ~ ssList(X0)
| nil = X0 ),
inference(subsumption_resolution,[],[f379,f224]) ).
fof(f379,plain,
! [X0] :
( hd(X0) = sK12(X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK11(X0)) ),
inference(subsumption_resolution,[],[f374,f223]) ).
fof(f223,plain,
! [X0] :
( ssItem(sK12(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f374,plain,
! [X0] :
( ~ ssItem(sK12(X0))
| ~ ssList(sK11(X0))
| hd(X0) = sK12(X0)
| nil = X0
| ~ ssList(X0) ),
inference(superposition,[],[f196,f222]) ).
fof(f196,plain,
! [X0,X1] :
( hd(cons(X1,X0)) = X1
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(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(f222,plain,
! [X0] :
( cons(sK12(X0),sK11(X0)) = X0
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f166]) ).
fof(f450,plain,
( ! [X12,X13] :
( sK7 != cons(X12,X13)
| ~ ssList(cons(X12,nil))
| memberP(nil,sK9(X12,nil,X13))
| ~ ssList(X13)
| ~ ssItem(X12) )
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f432]) ).
fof(f432,plain,
( ! [X12,X13] :
( memberP(nil,sK9(X12,nil,X13))
| ~ ssList(X13)
| ~ ssItem(X12)
| ~ ssList(cons(X12,nil))
| ~ ssList(X13)
| sK7 != cons(X12,X13)
| ~ ssItem(X12) )
| ~ spl18_3 ),
inference(superposition,[],[f353,f263]) ).
fof(f263,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) ) ),
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(f353,plain,
( ! [X2,X3] :
( app(cons(X2,nil),X3) != sK7
| memberP(nil,sK9(X2,nil,X3))
| ~ ssItem(X2)
| ~ ssList(cons(X2,nil))
| ~ ssList(X3) )
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f328,f302]) ).
fof(f302,plain,
( ssList(nil)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f301,plain,
( spl18_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f328,plain,
! [X2,X3] :
( memberP(nil,sK9(X2,nil,X3))
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(cons(X2,nil))
| app(cons(X2,nil),X3) != sK7
| ~ ssList(nil) ),
inference(superposition,[],[f271,f242]) ).
fof(f242,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,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(f271,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| ~ ssItem(X4)
| memberP(X5,sK9(X4,X5,X6))
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(definition_unfolding,[],[f213,f216]) ).
fof(f216,plain,
sK5 = sK7,
inference(cnf_transformation,[],[f163]) ).
fof(f213,plain,
! [X6,X4,X5] :
( ~ ssList(X5)
| app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| memberP(X5,sK9(X4,X5,X6))
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f163]) ).
fof(f596,plain,
( spl18_1
| spl18_2
| ~ spl18_3
| spl18_9 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| spl18_1
| spl18_2
| ~ spl18_3
| spl18_9 ),
inference(subsumption_resolution,[],[f594,f302]) ).
fof(f594,plain,
( ~ ssList(nil)
| spl18_1
| spl18_2
| spl18_9 ),
inference(subsumption_resolution,[],[f593,f507]) ).
fof(f507,plain,
( ssItem(hd(sK7))
| spl18_1
| spl18_2 ),
inference(subsumption_resolution,[],[f506,f202]) ).
fof(f202,plain,
ssList(sK6),
inference(cnf_transformation,[],[f163]) ).
fof(f506,plain,
( ssItem(hd(sK7))
| ~ ssList(sK6)
| spl18_1
| spl18_2 ),
inference(subsumption_resolution,[],[f501,f292]) ).
fof(f292,plain,
( nil != sK6
| spl18_1 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f291,plain,
( spl18_1
<=> nil = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f501,plain,
( nil = sK6
| ~ ssList(sK6)
| ssItem(hd(sK7))
| spl18_2 ),
inference(superposition,[],[f241,f494]) ).
fof(f494,plain,
( hd(sK6) = hd(sK7)
| spl18_2 ),
inference(subsumption_resolution,[],[f493,f297]) ).
fof(f493,plain,
( hd(sK6) = hd(sK7)
| nil = sK7 ),
inference(subsumption_resolution,[],[f492,f217]) ).
fof(f492,plain,
( ~ ssList(sK7)
| hd(sK6) = hd(sK7)
| nil = sK7 ),
inference(subsumption_resolution,[],[f487,f208]) ).
fof(f208,plain,
ssList(sK10),
inference(cnf_transformation,[],[f163]) ).
fof(f487,plain,
( ~ ssList(sK10)
| ~ ssList(sK7)
| nil = sK7
| hd(sK6) = hd(sK7) ),
inference(superposition,[],[f231,f276]) ).
fof(f276,plain,
app(sK7,sK10) = sK6,
inference(definition_unfolding,[],[f205,f215]) ).
fof(f215,plain,
sK8 = sK6,
inference(cnf_transformation,[],[f163]) ).
fof(f205,plain,
sK8 = app(sK7,sK10),
inference(cnf_transformation,[],[f163]) ).
fof(f231,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( nil = X0
| ~ ssList(X1)
| hd(X0) = hd(app(X0,X1)) )
| ~ ssList(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
fof(f593,plain,
( ~ ssItem(hd(sK7))
| ~ ssList(nil)
| spl18_9 ),
inference(resolution,[],[f536,f199]) ).
fof(f199,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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(f536,plain,
( ~ ssList(cons(hd(sK7),nil))
| spl18_9 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f592,plain,
( ~ spl18_9
| spl18_17
| spl18_2
| ~ spl18_3 ),
inference(avatar_split_clause,[],[f587,f301,f295,f589,f534]) ).
fof(f587,plain,
( ssItem(sK9(hd(sK7),nil,sK11(sK7)))
| ~ ssList(cons(hd(sK7),nil))
| spl18_2
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f586,f217]) ).
fof(f586,plain,
( ~ ssList(cons(hd(sK7),nil))
| ~ ssList(sK7)
| ssItem(sK9(hd(sK7),nil,sK11(sK7)))
| spl18_2
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f585,f297]) ).
fof(f585,plain,
( ssItem(sK9(hd(sK7),nil,sK11(sK7)))
| nil = sK7
| ~ ssList(sK7)
| ~ ssList(cons(hd(sK7),nil))
| ~ spl18_3 ),
inference(equality_resolution,[],[f464]) ).
fof(f464,plain,
( ! [X1] :
( sK7 != X1
| ssItem(sK9(hd(X1),nil,sK11(X1)))
| ~ ssList(cons(hd(X1),nil))
| nil = X1
| ~ ssList(X1) )
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f463,f224]) ).
fof(f463,plain,
( ! [X1] :
( ~ ssList(X1)
| nil = X1
| ssItem(sK9(hd(X1),nil,sK11(X1)))
| ~ ssList(cons(hd(X1),nil))
| sK7 != X1
| ~ ssList(sK11(X1)) )
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f462,f241]) ).
fof(f462,plain,
( ! [X1] :
( nil = X1
| ~ ssItem(hd(X1))
| ~ ssList(cons(hd(X1),nil))
| sK7 != X1
| ~ ssList(sK11(X1))
| ~ ssList(X1)
| ssItem(sK9(hd(X1),nil,sK11(X1))) )
| ~ spl18_3 ),
inference(superposition,[],[f447,f389]) ).
fof(f447,plain,
( ! [X4,X5] :
( cons(X4,X5) != sK7
| ssItem(sK9(X4,nil,X5))
| ~ ssList(cons(X4,nil))
| ~ ssList(X5)
| ~ ssItem(X4) )
| ~ spl18_3 ),
inference(duplicate_literal_removal,[],[f428]) ).
fof(f428,plain,
( ! [X4,X5] :
( ~ ssList(cons(X4,nil))
| ~ ssItem(X4)
| cons(X4,X5) != sK7
| ~ ssList(X5)
| ssItem(sK9(X4,nil,X5))
| ~ ssList(X5)
| ~ ssItem(X4) )
| ~ spl18_3 ),
inference(superposition,[],[f344,f263]) ).
fof(f344,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sK7
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| ~ ssList(X1)
| ssItem(sK9(X0,nil,X1)) )
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f327,f302]) ).
fof(f327,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ssItem(sK9(X0,nil,X1))
| ~ ssList(nil)
| ~ ssList(cons(X0,nil))
| app(cons(X0,nil),X1) != sK7 ),
inference(superposition,[],[f270,f242]) ).
fof(f270,plain,
! [X6,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK7
| ~ ssList(X5)
| ssItem(sK9(X4,X5,X6))
| ~ ssList(X6)
| ~ ssItem(X4) ),
inference(definition_unfolding,[],[f214,f216]) ).
fof(f214,plain,
! [X6,X4,X5] :
( ~ ssList(X5)
| app(app(X5,cons(X4,nil)),X6) != sK5
| ~ ssList(X6)
| ssItem(sK9(X4,X5,X6))
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f163]) ).
fof(f402,plain,
( ~ spl18_1
| spl18_2 ),
inference(avatar_split_clause,[],[f401,f295,f291]) ).
fof(f401,plain,
( nil != sK6
| spl18_2 ),
inference(subsumption_resolution,[],[f400,f208]) ).
fof(f400,plain,
( ~ ssList(sK10)
| nil != sK6
| spl18_2 ),
inference(subsumption_resolution,[],[f399,f297]) ).
fof(f399,plain,
( nil = sK7
| nil != sK6
| ~ ssList(sK10) ),
inference(subsumption_resolution,[],[f394,f217]) ).
fof(f394,plain,
( ~ ssList(sK7)
| nil = sK7
| nil != sK6
| ~ ssList(sK10) ),
inference(superposition,[],[f226,f276]) ).
fof(f226,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X1
| nil != X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ! [X1] :
( ( ( ( nil = X1
& nil = X0 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X1
| nil != X0 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( nil = X1
& nil = X0 )
<=> nil = app(X0,X1) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X1
& nil = X0 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f313,plain,
spl18_3,
inference(avatar_split_clause,[],[f244,f301]) ).
fof(f244,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f299,plain,
~ spl18_2,
inference(avatar_split_clause,[],[f278,f295]) ).
fof(f278,plain,
nil != sK7,
inference(definition_unfolding,[],[f203,f216]) ).
fof(f203,plain,
nil != sK5,
inference(cnf_transformation,[],[f163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC237+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:51:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (9033)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (9017)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.54 % (9025)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (9024)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (9024)Instruction limit reached!
% 0.20/0.55 % (9024)------------------------------
% 0.20/0.55 % (9024)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (9024)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (9024)Termination reason: Unknown
% 0.20/0.55 % (9024)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (9024)Memory used [KB]: 1791
% 0.20/0.55 % (9024)Time elapsed: 0.004 s
% 0.20/0.55 % (9024)Instructions burned: 8 (million)
% 0.20/0.55 % (9024)------------------------------
% 0.20/0.55 % (9024)------------------------------
% 0.20/0.55 % (9038)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.55 % (9016)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (9014)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)
% 1.60/0.56 % (9032)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)
% 1.60/0.56 % (9013)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)
% 1.60/0.56 % (9028)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)
% 1.60/0.57 % (9015)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)
% 1.60/0.57 % (9012)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)
% 1.60/0.57 % (9022)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)
% 1.60/0.57 % (9011)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)
% 1.60/0.57 % (9034)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)
% 1.60/0.57 % (9011)Instruction limit reached!
% 1.60/0.57 % (9011)------------------------------
% 1.60/0.57 % (9011)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (9037)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)
% 1.60/0.57 % (9031)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)
% 1.60/0.57 % (9036)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)
% 1.60/0.58 % (9029)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)
% 1.60/0.58 % (9023)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)
% 1.60/0.58 % (9019)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)
% 1.60/0.58 % (9009)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.81/0.58 % (9038)Instruction limit reached!
% 1.81/0.58 % (9038)------------------------------
% 1.81/0.58 % (9038)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58 % (9020)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)
% 1.81/0.58 % (9014)Instruction limit reached!
% 1.81/0.58 % (9014)------------------------------
% 1.81/0.58 % (9014)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58 % (9014)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58 % (9014)Termination reason: Unknown
% 1.81/0.58 % (9014)Termination phase: Saturation
% 1.81/0.58 % (9019)Instruction limit reached!
% 1.81/0.58 % (9019)------------------------------
% 1.81/0.58 % (9019)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.58 % (9019)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.58 % (9019)Termination reason: Unknown
% 1.81/0.58 % (9019)Termination phase: Saturation
% 1.81/0.58
% 1.81/0.58 % (9019)Memory used [KB]: 6268
% 1.81/0.58 % (9019)Time elapsed: 0.174 s
% 1.81/0.58 % (9019)Instructions burned: 12 (million)
% 1.81/0.58 % (9019)------------------------------
% 1.81/0.58 % (9019)------------------------------
% 1.81/0.58
% 1.81/0.58 % (9014)Memory used [KB]: 1791
% 1.81/0.58 % (9014)Time elapsed: 0.152 s
% 1.81/0.58 % (9014)Instructions burned: 15 (million)
% 1.81/0.58 % (9014)------------------------------
% 1.81/0.58 % (9014)------------------------------
% 1.81/0.58 % (9030)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)
% 1.81/0.58 % (9035)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)
% 1.81/0.59 % (9020)Instruction limit reached!
% 1.81/0.59 % (9020)------------------------------
% 1.81/0.59 % (9020)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (9020)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9020)Termination reason: Unknown
% 1.81/0.59 % (9020)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (9020)Memory used [KB]: 6140
% 1.81/0.59 % (9020)Time elapsed: 0.006 s
% 1.81/0.59 % (9020)Instructions burned: 8 (million)
% 1.81/0.59 % (9020)------------------------------
% 1.81/0.59 % (9020)------------------------------
% 1.81/0.59 % (9037)Instruction limit reached!
% 1.81/0.59 % (9037)------------------------------
% 1.81/0.59 % (9037)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (9037)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9037)Termination reason: Unknown
% 1.81/0.59 % (9037)Termination phase: Function definition elimination
% 1.81/0.59
% 1.81/0.59 % (9037)Memory used [KB]: 1791
% 1.81/0.59 % (9037)Time elapsed: 0.006 s
% 1.81/0.59 % (9037)Instructions burned: 8 (million)
% 1.81/0.59 % (9037)------------------------------
% 1.81/0.59 % (9037)------------------------------
% 1.81/0.59 % (9011)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9011)Termination reason: Unknown
% 1.81/0.59 % (9011)Termination phase: Preprocessing 3
% 1.81/0.59
% 1.81/0.59 % (9011)Memory used [KB]: 1663
% 1.81/0.59 % (9011)Time elapsed: 0.004 s
% 1.81/0.59 % (9011)Instructions burned: 4 (million)
% 1.81/0.59 % (9011)------------------------------
% 1.81/0.59 % (9011)------------------------------
% 1.81/0.59 % (9018)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)
% 1.81/0.59 % (9028)Instruction limit reached!
% 1.81/0.59 % (9028)------------------------------
% 1.81/0.59 % (9028)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (9028)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9028)Termination reason: Unknown
% 1.81/0.59 % (9028)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (9028)Memory used [KB]: 6268
% 1.81/0.59 % (9028)Time elapsed: 0.183 s
% 1.81/0.59 % (9028)Instructions burned: 11 (million)
% 1.81/0.59 % (9028)------------------------------
% 1.81/0.59 % (9028)------------------------------
% 1.81/0.59 % (9038)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9038)Termination reason: Unknown
% 1.81/0.59 % (9038)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (9038)Memory used [KB]: 6524
% 1.81/0.59 % (9038)Time elapsed: 0.171 s
% 1.81/0.59 % (9038)Instructions burned: 24 (million)
% 1.81/0.59 % (9038)------------------------------
% 1.81/0.59 % (9038)------------------------------
% 1.81/0.59 % (9013)Instruction limit reached!
% 1.81/0.59 % (9013)------------------------------
% 1.81/0.59 % (9013)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (9013)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9013)Termination reason: Unknown
% 1.81/0.59 % (9013)Termination phase: Saturation
% 1.81/0.59
% 1.81/0.59 % (9013)Memory used [KB]: 6268
% 1.81/0.59 % (9013)Time elapsed: 0.178 s
% 1.81/0.59 % (9013)Instructions burned: 13 (million)
% 1.81/0.59 % (9013)------------------------------
% 1.81/0.59 % (9013)------------------------------
% 1.81/0.59 % (9023)Instruction limit reached!
% 1.81/0.59 % (9023)------------------------------
% 1.81/0.59 % (9023)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (9023)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9023)Termination reason: Unknown
% 1.81/0.59 % (9023)Termination phase: Preprocessing 3
% 1.81/0.59
% 1.81/0.59 % (9023)Memory used [KB]: 1663
% 1.81/0.59 % (9023)Time elapsed: 0.004 s
% 1.81/0.59 % (9023)Instructions burned: 3 (million)
% 1.81/0.59 % (9023)------------------------------
% 1.81/0.59 % (9023)------------------------------
% 1.81/0.59 % (9021)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)
% 1.81/0.59 % (9026)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.81/0.59 % (9026)Instruction limit reached!
% 1.81/0.59 % (9026)------------------------------
% 1.81/0.59 % (9026)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.59 % (9026)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.59 % (9026)Termination reason: Unknown
% 1.81/0.59 % (9026)Termination phase: Preprocessing 3
% 1.81/0.59
% 1.81/0.59 % (9026)Memory used [KB]: 1663
% 1.81/0.59 % (9026)Time elapsed: 0.005 s
% 1.81/0.59 % (9026)Instructions burned: 4 (million)
% 1.81/0.59 % (9026)------------------------------
% 1.81/0.59 % (9026)------------------------------
% 1.81/0.60 % (9010)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)
% 1.81/0.60 % (9027)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)
% 1.81/0.60 % (9036)Instruction limit reached!
% 1.81/0.60 % (9036)------------------------------
% 1.81/0.60 % (9036)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (9036)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (9036)Termination reason: Unknown
% 1.81/0.60 % (9036)Termination phase: Saturation
% 1.81/0.60
% 1.81/0.60 % (9036)Memory used [KB]: 6524
% 1.81/0.60 % (9036)Time elapsed: 0.182 s
% 1.81/0.60 % (9036)Instructions burned: 25 (million)
% 1.81/0.60 % (9036)------------------------------
% 1.81/0.60 % (9036)------------------------------
% 1.81/0.60 % (9027)Instruction limit reached!
% 1.81/0.60 % (9027)------------------------------
% 1.81/0.60 % (9027)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.60 % (9027)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.60 % (9027)Termination reason: Unknown
% 1.81/0.60 % (9027)Termination phase: Preprocessing 3
% 1.81/0.60
% 1.81/0.60 % (9027)Memory used [KB]: 1535
% 1.81/0.60 % (9027)Time elapsed: 0.004 s
% 1.81/0.60 % (9027)Instructions burned: 3 (million)
% 1.81/0.60 % (9027)------------------------------
% 1.81/0.60 % (9027)------------------------------
% 1.81/0.61 % (9016)Instruction limit reached!
% 1.81/0.61 % (9016)------------------------------
% 1.81/0.61 % (9016)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.61 % (9016)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.61 % (9016)Termination reason: Unknown
% 1.81/0.61 % (9016)Termination phase: Saturation
% 1.81/0.61
% 1.81/0.61 % (9016)Memory used [KB]: 6524
% 1.81/0.61 % (9016)Time elapsed: 0.171 s
% 1.81/0.61 % (9016)Instructions burned: 39 (million)
% 1.81/0.61 % (9016)------------------------------
% 1.81/0.61 % (9016)------------------------------
% 1.81/0.61 % (9025)Instruction limit reached!
% 1.81/0.61 % (9025)------------------------------
% 1.81/0.61 % (9025)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (9017)Instruction limit reached!
% 1.81/0.62 % (9017)------------------------------
% 1.81/0.62 % (9017)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (9015)First to succeed.
% 1.81/0.62 % (9021)Instruction limit reached!
% 1.81/0.62 % (9021)------------------------------
% 1.81/0.62 % (9021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (9021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (9021)Termination reason: Unknown
% 1.81/0.62 % (9021)Termination phase: Saturation
% 1.81/0.62
% 1.81/0.62 % (9021)Memory used [KB]: 2046
% 1.81/0.62 % (9021)Time elapsed: 0.211 s
% 1.81/0.62 % (9021)Instructions burned: 16 (million)
% 1.81/0.62 % (9021)------------------------------
% 1.81/0.62 % (9021)------------------------------
% 1.81/0.62 % (9025)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (9025)Termination reason: Unknown
% 1.81/0.62 % (9025)Termination phase: Saturation
% 1.81/0.62
% 1.81/0.62 % (9025)Memory used [KB]: 6908
% 1.81/0.62 % (9025)Time elapsed: 0.168 s
% 1.81/0.62 % (9025)Instructions burned: 51 (million)
% 1.81/0.62 % (9025)------------------------------
% 1.81/0.62 % (9025)------------------------------
% 1.81/0.62 % (9017)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (9017)Termination reason: Unknown
% 1.81/0.62 % (9017)Termination phase: Saturation
% 1.81/0.62
% 1.81/0.62 % (9017)Memory used [KB]: 6908
% 1.81/0.62 % (9017)Time elapsed: 0.176 s
% 1.81/0.62 % (9017)Instructions burned: 50 (million)
% 1.81/0.62 % (9017)------------------------------
% 1.81/0.62 % (9017)------------------------------
% 1.81/0.62 % (9010)Instruction limit reached!
% 1.81/0.62 % (9010)------------------------------
% 1.81/0.62 % (9010)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.62 % (9010)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.62 % (9010)Termination reason: Unknown
% 1.81/0.62 % (9010)Termination phase: Saturation
% 1.81/0.62
% 1.81/0.62 % (9010)Memory used [KB]: 6396
% 1.81/0.62 % (9010)Time elapsed: 0.008 s
% 1.81/0.62 % (9010)Instructions burned: 13 (million)
% 1.81/0.62 % (9010)------------------------------
% 1.81/0.62 % (9010)------------------------------
% 1.81/0.63 % (9033)Instruction limit reached!
% 1.81/0.63 % (9033)------------------------------
% 1.81/0.63 % (9033)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.81/0.63 % (9033)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.81/0.63 % (9033)Termination reason: Unknown
% 1.81/0.63 % (9033)Termination phase: Saturation
% 1.81/0.63
% 1.81/0.63 % (9033)Memory used [KB]: 6908
% 1.81/0.63 % (9033)Time elapsed: 0.189 s
% 1.81/0.63 % (9033)Instructions burned: 51 (million)
% 1.81/0.63 % (9033)------------------------------
% 1.81/0.63 % (9033)------------------------------
% 2.18/0.63 % (9015)Refutation found. Thanks to Tanya!
% 2.18/0.63 % SZS status Theorem for theBenchmark
% 2.18/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.63 % (9015)------------------------------
% 2.18/0.63 % (9015)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.63 % (9015)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.63 % (9015)Termination reason: Refutation
% 2.18/0.63
% 2.18/0.63 % (9015)Memory used [KB]: 6524
% 2.18/0.63 % (9015)Time elapsed: 0.202 s
% 2.18/0.63 % (9015)Instructions burned: 27 (million)
% 2.18/0.63 % (9015)------------------------------
% 2.18/0.63 % (9015)------------------------------
% 2.18/0.63 % (9008)Success in time 0.29 s
%------------------------------------------------------------------------------